%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : ITP128^1 : TPTP v9.2.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 08:55:46 AM UTC 2026
% Result : Theorem 3.10s 1.75s
% Output : Refutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 5 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 15 ( 5 ~; 0 |; 0 &; 10 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 13 ( 12 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 369 ( 366 usr; 2 con; 0-7 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
c: $tType ).
thf(type_def_7,type,
d: $tType ).
thf(type_def_8,type,
a: $tType ).
thf(type_def_9,type,
b: $tType ).
thf(type_def_10,type,
fset_a: $tType ).
thf(type_def_11,type,
fset_b: $tType ).
thf(type_def_12,type,
set_a: $tType ).
thf(type_def_13,type,
set_b: $tType ).
thf(type_def_14,type,
set_c: $tType ).
thf(type_def_15,type,
multiset_a: $tType ).
thf(type_def_16,type,
multiset_b: $tType ).
thf(type_def_17,type,
set_d: $tType ).
thf(func_def_0,type,
multiset_b: $tType ).
thf(func_def_1,type,
multiset_a: $tType ).
thf(func_def_2,type,
fset_b: $tType ).
thf(func_def_3,type,
fset_a: $tType ).
thf(func_def_4,type,
set_d: $tType ).
thf(func_def_5,type,
set_c: $tType ).
thf(func_def_6,type,
set_b: $tType ).
thf(func_def_7,type,
set_a: $tType ).
thf(func_def_8,type,
d: $tType ).
thf(func_def_9,type,
c: $tType ).
thf(func_def_10,type,
b: $tType ).
thf(func_def_11,type,
a: $tType ).
thf(func_def_12,type,
bNF_re19414301_d_d_o: ( ( ( c > c ) > ( c > c ) > $o ) > ( ( d > d ) > ( d > d ) > $o ) > $o ) > ( ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( b > d > d ) > ( b > d > d ) > $o ) > $o ) > ( ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > ( a > c > c ) > $o ) > ( ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > ( b > d > d ) > $o ) > $o ).
thf(func_def_13,type,
bNF_re674980784_d_d_o: ( ( ( c > c ) > ( c > c ) > $o ) > ( ( d > d ) > ( d > d ) > $o ) > $o ) > ( ( ( a > c > c ) > $o ) > ( ( b > d > d ) > $o ) > $o ) > ( ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > $o ) > ( ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > $o ) > $o ).
thf(func_def_14,type,
bNF_re1867846365_a_a_o: ( ( ( c > c ) > ( c > c ) > $o ) > ( a > a > $o ) > $o ) > ( ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ) > ( ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > $o ).
thf(func_def_15,type,
bNF_re708047067_a_b_o: ( ( ( c > c ) > ( c > c ) > $o ) > ( a > b > $o ) > $o ) > ( ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ) > ( ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ) > $o ).
thf(func_def_16,type,
bNF_re145798749_a_a_o: ( ( ( c > c ) > ( d > d ) > $o ) > ( a > a > $o ) > $o ) > ( ( ( a > c > c ) > ( a > d > d ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ) > ( ( ( c > c ) > ( d > d ) > $o ) > ( a > c > c ) > ( a > d > d ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > $o ).
thf(func_def_17,type,
bNF_re1133483099_a_b_o: ( ( ( c > c ) > ( d > d ) > $o ) > ( a > b > $o ) > $o ) > ( ( ( a > c > c ) > ( a > d > d ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ) > ( ( ( c > c ) > ( d > d ) > $o ) > ( a > c > c ) > ( a > d > d ) > $o ) > ( ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ) > $o ).
thf(func_def_18,type,
bNF_re141854397_b_d_d: ( ( ( c > c ) > c > c ) > ( ( d > d ) > d > d ) > $o ) > ( ( ( a > c > c ) > a > c > c ) > ( ( b > d > d ) > b > d > d ) > $o ) > ( ( ( c > c ) > c > c ) > ( a > c > c ) > a > c > c ) > ( ( ( d > d ) > d > d ) > ( b > d > d ) > b > d > d ) > $o ).
thf(func_def_19,type,
bNF_re35019871_b_d_d: ( ( ( c > c ) > a ) > ( ( d > d ) > b ) > $o ) > ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( c > c ) > a ) > a > c > c ) > ( ( ( d > d ) > b ) > b > d > d ) > $o ).
thf(func_def_20,type,
bNF_re1177671453_a_a_a: ( ( ( c > c ) > a ) > ( a > a ) > $o ) > ( ( ( c > c ) > a ) > ( a > a ) > $o ) > ( ( ( c > c ) > a ) > ( c > c ) > a ) > ( ( a > a ) > a > a ) > $o ).
thf(func_def_21,type,
bNF_re1238578079_d_d_d: ( ( ( c > c ) > c ) > ( ( d > d ) > d ) > $o ) > ( ( ( a > c > c ) > c > c ) > ( ( b > d > d ) > d > d ) > $o ) > ( ( ( c > c ) > c ) > ( a > c > c ) > c > c ) > ( ( ( d > d ) > d ) > ( b > d > d ) > d > d ) > $o ).
thf(func_def_22,type,
bNF_re1209333166_c_b_d: ( ( ( c > c ) > c ) > ( ( d > d ) > d ) > $o ) > ( ( a > c ) > ( b > d ) > $o ) > ( ( ( c > c ) > c ) > a > c ) > ( ( ( d > d ) > d ) > b > d ) > $o ).
thf(func_def_23,type,
bNF_re323253981_b_b_b: ( ( ( d > d ) > b ) > ( b > b ) > $o ) > ( ( ( d > d ) > b ) > ( b > b ) > $o ) > ( ( ( d > d ) > b ) > ( d > d ) > b ) > ( ( b > b ) > b > b ) > $o ).
thf(func_def_24,type,
bNF_re1403739741_a_a_o: ( ( a > a > $o ) > ( a > a > $o ) > $o ) > ( ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > $o ).
thf(func_def_25,type,
bNF_re1165460699_a_b_o: ( ( a > a > $o ) > ( a > b > $o ) > $o ) > ( ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ) > $o ).
thf(func_def_26,type,
bNF_re1310167325_a_a_o: ( ( a > a > $o ) > ( b > a > $o ) > $o ) > ( ( ( a > a ) > ( a > a ) > $o ) > ( ( a > b ) > ( a > a ) > $o ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > ( ( b > a > $o ) > ( a > b ) > ( a > a ) > $o ) > $o ).
thf(func_def_27,type,
bNF_re2129955100_d_d_o: ( ( a > a > $o ) > ( b > b > $o ) > $o ) > ( ( ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > $o ) > ( ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > $o ) > $o ) > ( ( a > a > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > $o ) > ( ( b > b > $o ) > ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > $o ) > $o ).
thf(func_def_28,type,
bNF_re1071888283_a_b_o: ( ( a > a > $o ) > ( b > b > $o ) > $o ) > ( ( ( a > a ) > ( a > a ) > $o ) > ( ( a > b ) > ( a > b ) > $o ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > ( ( b > b > $o ) > ( a > b ) > ( a > b ) > $o ) > $o ).
thf(func_def_29,type,
bNF_re231976415_a_a_o: ( ( a > b > $o ) > ( a > a > $o ) > $o ) > ( ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ) > ( ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > $o ).
thf(func_def_30,type,
bNF_re2141181021_a_b_o: ( ( a > b > $o ) > ( a > b > $o ) > $o ) > ( ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ) > ( ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ) > ( ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ) > $o ).
thf(func_def_31,type,
bNF_re880840541_a_c_c: ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( ( a > a ) > a > c > c ) > ( ( a > a ) > a > c > c ) > $o ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > $o ).
thf(func_def_32,type,
bNF_re1311853791_b_c_c: ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( ( a > a ) > a > c > c ) > ( ( b > a ) > b > c > c ) > $o ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > ( ( a > c > c ) > ( b > a ) > b > c > c ) > $o ).
thf(func_def_33,type,
bNF_re978949211_a_c_c: ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( ( b > a ) > b > c > c ) > ( ( a > a ) > a > c > c ) > $o ) > ( ( a > c > c ) > ( b > a ) > b > c > c ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > $o ).
thf(func_def_34,type,
bNF_re1409962461_b_c_c: ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( ( b > a ) > b > c > c ) > ( ( b > a ) > b > c > c ) > $o ) > ( ( a > c > c ) > ( b > a ) > b > c > c ) > ( ( a > c > c ) > ( b > a ) > b > c > c ) > $o ).
thf(func_def_35,type,
bNF_re27458217_c_c_c: ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( ( a > c > c ) > c > c ) > ( ( a > c > c ) > c > c ) > $o ).
thf(func_def_36,type,
bNF_re1955249705_c_d_d: ( ( a > c > c ) > ( a > d > d ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( ( a > c > c ) > c > c ) > ( ( a > d > d ) > d > d ) > $o ).
thf(func_def_37,type,
bNF_re1684125987_a_a_o: ( ( a > c > c ) > ( a > a ) > $o ) > ( ( ( a > c > c ) > $o ) > ( ( a > a ) > $o ) > $o ) > ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ).
thf(func_def_38,type,
bNF_re364411746_a_b_o: ( ( a > c > c ) > ( a > a ) > $o ) > ( ( ( a > c > c ) > $o ) > ( ( a > b ) > $o ) > $o ) > ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ).
thf(func_def_39,type,
bNF_re1652452067_a_a_o: ( ( a > c > c ) > ( a > a ) > $o ) > ( ( ( a > d > d ) > $o ) > ( ( a > a ) > $o ) > $o ) > ( ( a > c > c ) > ( a > d > d ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ).
thf(func_def_40,type,
bNF_re332737826_a_b_o: ( ( a > c > c ) > ( a > a ) > $o ) > ( ( ( a > d > d ) > $o ) > ( ( a > b ) > $o ) > $o ) > ( ( a > c > c ) > ( a > d > d ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ).
thf(func_def_41,type,
bNF_re2074539676_a_o_o: ( ( a > c > c ) > ( a > a ) > $o ) > ( $o > $o > $o ) > ( ( a > c > c ) > $o ) > ( ( a > a ) > $o ) > $o ).
thf(func_def_42,type,
bNF_re1256092317_b_o_o: ( ( a > c > c ) > ( a > b ) > $o ) > ( $o > $o > $o ) > ( ( a > c > c ) > $o ) > ( ( a > b ) > $o ) > $o ).
thf(func_def_43,type,
bNF_re387831090_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( ( c > c ) > a ) > a > c > c ) > ( ( ( d > d ) > b ) > b > d > d ) > $o ) > ( ( a > c > c ) > ( ( c > c ) > a ) > a > c > c ) > ( ( b > d > d ) > ( ( d > d ) > b ) > b > d > d ) > $o ).
thf(func_def_44,type,
bNF_re364486559_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( a > c > c ) > ( ( c > c ) > a ) > a > c > c ) > ( ( b > d > d ) > ( ( d > d ) > b ) > b > d > d ) > $o ) > ( ( a > c > c ) > ( a > c > c ) > ( ( c > c ) > a ) > a > c > c ) > ( ( b > d > d ) > ( b > d > d ) > ( ( d > d ) > b ) > b > d > d ) > $o ).
thf(func_def_45,type,
bNF_re1855937521_d_d_o: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( a > c > c ) > $o ) > ( ( b > d > d ) > $o ) > $o ) > ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( b > d > d ) > ( b > d > d ) > $o ) > $o ).
thf(func_def_46,type,
bNF_re631104669_a_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( a > a ) > a > c > c ) > ( ( a > b ) > a > d > d ) > $o ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > ( ( b > d > d ) > ( a > b ) > a > d > d ) > $o ).
thf(func_def_47,type,
bNF_re1062117919_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( a > a ) > a > c > c ) > ( ( b > b ) > b > d > d ) > $o ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > ( ( b > d > d ) > ( b > b ) > b > d > d ) > $o ).
thf(func_def_48,type,
bNF_re1160226589_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( b > a ) > b > c > c ) > ( ( b > b ) > b > d > d ) > $o ) > ( ( a > c > c ) > ( b > a ) > b > c > c ) > ( ( b > d > d ) > ( b > b ) > b > d > d ) > $o ).
thf(func_def_49,type,
bNF_re2120361759_d_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( c > a ) > c > c > c ) > ( ( d > b ) > d > d > d ) > $o ) > ( ( a > c > c ) > ( c > a ) > c > c > c ) > ( ( b > d > d ) > ( d > b ) > d > d > d ) > $o ).
thf(func_def_50,type,
bNF_re727696351_d_b_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( c > c ) > ( ( c > c ) > c ) > a > c ) > ( ( d > d ) > ( ( d > d ) > d ) > b > d ) > $o ) > ( ( a > c > c ) > ( c > c ) > ( ( c > c ) > c ) > a > c ) > ( ( b > d > d ) > ( d > d ) > ( ( d > d ) > d ) > b > d ) > $o ).
thf(func_def_51,type,
bNF_re1424479610_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( a > ( c > c ) > a > c > c ) > ( b > ( d > d ) > b > d > d ) > $o ) > ( ( a > c > c ) > a > ( c > c ) > a > c > c ) > ( ( b > d > d ) > b > ( d > d ) > b > d > d ) > $o ).
thf(func_def_52,type,
bNF_re692482399_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( a > c > c ) > a > c > c ) > ( ( b > d > d ) > b > d > d ) > $o ).
thf(func_def_53,type,
bNF_re84044842_c_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( ( a > c > c ) > c > c ) > ( ( b > d > d ) > d > d ) > $o ).
thf(func_def_54,type,
bNF_re1501709470_d_o_o: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( $o > $o > $o ) > ( ( a > c > c ) > $o ) > ( ( b > d > d ) > $o ) > $o ).
thf(func_def_55,type,
bNF_re1620723804_a_o_o: ( ( a > d > d ) > ( a > a ) > $o ) > ( $o > $o > $o ) > ( ( a > d > d ) > $o ) > ( ( a > a ) > $o ) > $o ).
thf(func_def_56,type,
bNF_re802276445_b_o_o: ( ( a > d > d ) > ( a > b ) > $o ) > ( $o > $o > $o ) > ( ( a > d > d ) > $o ) > ( ( a > b ) > $o ) > $o ).
thf(func_def_57,type,
bNF_re1503602041_a_a_a: ( ( a > a ) > ( a > a ) > $o ) > ( ( ( ( c > c ) > a ) > ( c > c ) > a ) > ( ( a > a ) > a > a ) > $o ) > ( ( a > a ) > ( ( c > c ) > a ) > ( c > c ) > a ) > ( ( a > a ) > ( a > a ) > a > a ) > $o ).
thf(func_def_58,type,
bNF_re1258259453_a_a_a: ( ( a > a ) > ( a > a ) > $o ) > ( ( ( a > a ) > a > a ) > ( ( a > a ) > a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a > a ) > ( ( a > a ) > ( a > a ) > a > a ) > $o ).
thf(func_def_59,type,
bNF_re1900831913_a_a_o: ( ( a > a ) > ( a > a ) > $o ) > ( ( ( a > a ) > $o ) > ( ( a > a ) > $o ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ).
thf(func_def_60,type,
bNF_re581117672_a_b_o: ( ( a > a ) > ( a > a ) > $o ) > ( ( ( a > a ) > $o ) > ( ( a > b ) > $o ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ).
thf(func_def_61,type,
bNF_re984549674_a_a_o: ( ( a > a ) > ( a > a ) > $o ) > ( ( ( a > b ) > $o ) > ( ( a > a ) > $o ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ).
thf(func_def_62,type,
bNF_re1812319081_a_b_o: ( ( a > a ) > ( a > a ) > $o ) > ( ( ( a > b ) > $o ) > ( ( a > b ) > $o ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ).
thf(func_def_63,type,
bNF_re1691224489_a_c_c: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > a ) > a > c > c ) > ( ( a > a ) > a > c > c ) > $o ).
thf(func_def_64,type,
bNF_re1690311157_a_a_a: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > a > a ) > ( ( a > a ) > a > a ) > $o ).
thf(func_def_65,type,
bNF_re1698572662_a_a_b: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > a > a ) > ( ( a > a ) > a > b ) > $o ).
thf(func_def_66,type,
bNF_re134330537_a_o_o: ( ( a > a ) > ( a > a ) > $o ) > ( $o > $o > $o ) > ( ( a > a ) > $o ) > ( ( a > a ) > $o ) > $o ).
thf(func_def_67,type,
bNF_re571457705_a_a_a: ( ( a > a ) > ( a > a ) > $o ) > ( a > a > $o ) > ( ( a > a ) > a ) > ( ( a > a ) > a ) > $o ).
thf(func_def_68,type,
bNF_re1514436479_a_a_b: ( ( a > a ) > ( a > b ) > $o ) > ( ( ( a > a ) > a > a ) > ( ( a > a ) > a > b ) > $o ) > ( ( a > a ) > ( a > a ) > a > a ) > ( ( a > b ) > ( a > a ) > a > b ) > $o ).
thf(func_def_69,type,
bNF_re390230442_a_a_o: ( ( a > a ) > ( a > b ) > $o ) > ( ( ( a > a ) > $o ) > ( ( a > a ) > $o ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( ( a > b ) > ( a > a ) > $o ) > $o ).
thf(func_def_70,type,
bNF_re1217999849_a_b_o: ( ( a > a ) > ( a > b ) > $o ) > ( ( ( a > a ) > $o ) > ( ( a > b ) > $o ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( ( a > b ) > ( a > b ) > $o ) > $o ).
thf(func_def_71,type,
bNF_re1787520874_a_d_d: ( ( a > a ) > ( a > b ) > $o ) > ( ( a > c > c ) > ( a > d > d ) > $o ) > ( ( a > a ) > a > c > c ) > ( ( a > b ) > a > d > d ) > $o ).
thf(func_def_72,type,
bNF_re857382262_a_a_a: ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > a > a ) > ( ( a > b ) > a > a ) > $o ).
thf(func_def_73,type,
bNF_re865643767_a_a_b: ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > a > a ) > ( ( a > b ) > a > b ) > $o ).
thf(func_def_74,type,
bNF_re1463366826_b_o_o: ( ( a > a ) > ( a > b ) > $o ) > ( $o > $o > $o ) > ( ( a > a ) > $o ) > ( ( a > b ) > $o ) > $o ).
thf(func_def_75,type,
bNF_re473406379_b_a_b: ( ( a > a ) > ( a > b ) > $o ) > ( a > b > $o ) > ( ( a > a ) > a ) > ( ( a > b ) > b ) > $o ).
thf(func_def_76,type,
bNF_re539937469_b_a_a: ( ( a > a ) > ( b > a ) > $o ) > ( ( ( a > a ) > a > a ) > ( ( a > b ) > a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a > a ) > ( ( b > a ) > ( a > b ) > a > a ) > $o ).
thf(func_def_77,type,
bNF_re1665173865_b_c_c: ( ( a > a ) > ( b > a ) > $o ) > ( ( a > c > c ) > ( b > c > c ) > $o ) > ( ( a > a ) > a > c > c ) > ( ( b > a ) > b > c > c ) > $o ).
thf(func_def_78,type,
bNF_re932551557_b_d_d: ( ( a > a ) > ( b > b ) > $o ) > ( ( ( ( c > c ) > c > c ) > ( a > c > c ) > a > c > c ) > ( ( ( d > d ) > d > d ) > ( b > d > d ) > b > d > d ) > $o ) > ( ( a > a ) > ( ( c > c ) > c > c ) > ( a > c > c ) > a > c > c ) > ( ( b > b ) > ( ( d > d ) > d > d ) > ( b > d > d ) > b > d > d ) > $o ).
thf(func_def_79,type,
bNF_re796114495_b_a_b: ( ( a > a ) > ( b > b ) > $o ) > ( ( ( a > a ) > a > a ) > ( ( a > b ) > a > b ) > $o ) > ( ( a > a ) > ( a > a ) > a > a ) > ( ( b > b ) > ( a > b ) > a > b ) > $o ).
thf(func_def_80,type,
bNF_re835672381_b_b_b: ( ( a > a ) > ( b > b ) > $o ) > ( ( ( a > a ) > a > a ) > ( ( b > b ) > b > b ) > $o ) > ( ( a > a ) > ( a > a ) > a > a ) > ( ( b > b ) > ( b > b ) > b > b ) > $o ).
thf(func_def_81,type,
bNF_re774352699_b_b_b: ( ( a > a ) > ( b > b ) > $o ) > ( ( ( b > a ) > b > a ) > ( ( b > b ) > b > b ) > $o ) > ( ( a > a ) > ( b > a ) > b > a ) > ( ( b > b ) > ( b > b ) > b > b ) > $o ).
thf(func_def_82,type,
bNF_re1761470250_b_d_d: ( ( a > a ) > ( b > b ) > $o ) > ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( a > a ) > a > c > c ) > ( ( b > b ) > b > d > d ) > $o ).
thf(func_def_83,type,
bNF_re1307884917_a_b_b: ( ( a > a ) > ( b > b ) > $o ) > ( ( a > a ) > ( b > b ) > $o ) > ( ( a > a ) > a > a ) > ( ( b > b ) > b > b ) > $o ).
thf(func_def_84,type,
bNF_re2087760490_b_a_b: ( ( a > a ) > ( b > b ) > $o ) > ( a > b > $o ) > ( ( a > a ) > a ) > ( ( b > b ) > b ) > $o ).
thf(func_def_85,type,
bNF_re1906994858_a_o_o: ( ( a > b ) > ( a > a ) > $o ) > ( $o > $o > $o ) > ( ( a > b ) > $o ) > ( ( a > a ) > $o ) > $o ).
thf(func_def_86,type,
bNF_re1088547499_b_o_o: ( ( a > b ) > ( a > b ) > $o ) > ( $o > $o > $o ) > ( ( a > b ) > $o ) > ( ( a > b ) > $o ) > $o ).
thf(func_def_87,type,
bNF_re1606289753_b_d_d: ( ( a > c ) > ( b > d ) > $o ) > ( ( ( c > c > c ) > ( c > c ) > a > c > c ) > ( ( d > d > d ) > ( d > d ) > b > d > d ) > $o ) > ( ( a > c ) > ( c > c > c ) > ( c > c ) > a > c > c ) > ( ( b > d ) > ( d > d > d ) > ( d > d ) > b > d > d ) > $o ).
thf(func_def_88,type,
bNF_re561231771_a_c_c: ( ( b > d > d ) > ( a > c > c ) > $o ) > ( ( ( b > b ) > b > d > d ) > ( ( a > a ) > a > c > c ) > $o ) > ( ( b > d > d ) > ( b > b ) > b > d > d ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > $o ).
thf(func_def_89,type,
bNF_re742509149_b_d_d: ( ( b > d > d ) > ( b > d > d ) > $o ) > ( ( ( b > b ) > b > d > d ) > ( ( b > b ) > b > d > d ) > $o ) > ( ( b > d > d ) > ( b > b ) > b > d > d ) > ( ( b > d > d ) > ( b > b ) > b > d > d ) > $o ).
thf(func_def_90,type,
bNF_re1591514407_a_c_c: ( ( b > a ) > ( a > a ) > $o ) > ( ( b > c > c ) > ( a > c > c ) > $o ) > ( ( b > a ) > b > c > c ) > ( ( a > a ) > a > c > c ) > $o ).
thf(func_def_91,type,
bNF_re1565463783_b_c_c: ( ( b > a ) > ( b > a ) > $o ) > ( ( b > c > c ) > ( b > c > c ) > $o ) > ( ( b > a ) > b > c > c ) > ( ( b > a ) > b > c > c ) > $o ).
thf(func_def_92,type,
bNF_re1661760168_b_d_d: ( ( b > a ) > ( b > b ) > $o ) > ( ( b > c > c ) > ( b > d > d ) > $o ) > ( ( b > a ) > b > c > c ) > ( ( b > b ) > b > d > d ) > $o ).
thf(func_def_93,type,
bNF_re668686835_a_b_b: ( ( b > a ) > ( b > b ) > $o ) > ( ( b > a ) > ( b > b ) > $o ) > ( ( b > a ) > b > a ) > ( ( b > b ) > b > b ) > $o ).
thf(func_def_94,type,
bNF_re1794062813_d_d_b: ( ( b > b ) > ( ( d > d ) > b ) > $o ) > ( ( b > b ) > ( ( d > d ) > b ) > $o ) > ( ( b > b ) > b > b ) > ( ( ( d > d ) > b ) > ( d > d ) > b ) > $o ).
thf(func_def_95,type,
bNF_re1645058365_a_a_a: ( ( b > b ) > ( a > a ) > $o ) > ( ( ( b > b ) > b > b ) > ( ( a > a ) > a > a ) > $o ) > ( ( b > b ) > ( b > b ) > b > b ) > ( ( a > a ) > ( a > a ) > a > a ) > $o ).
thf(func_def_96,type,
bNF_re1342462312_a_c_c: ( ( b > b ) > ( a > a ) > $o ) > ( ( b > d > d ) > ( a > c > c ) > $o ) > ( ( b > b ) > b > d > d ) > ( ( a > a ) > a > c > c ) > $o ).
thf(func_def_97,type,
bNF_re310361461_b_a_a: ( ( b > b ) > ( a > a ) > $o ) > ( ( b > b ) > ( a > a ) > $o ) > ( ( b > b ) > b > b ) > ( ( a > a ) > a > a ) > $o ).
thf(func_def_98,type,
bNF_re1138812345_b_b_b: ( ( b > b ) > ( b > b ) > $o ) > ( ( ( ( d > d ) > b ) > ( d > d ) > b ) > ( ( b > b ) > b > b ) > $o ) > ( ( b > b ) > ( ( d > d ) > b ) > ( d > d ) > b ) > ( ( b > b ) > ( b > b ) > b > b ) > $o ).
thf(func_def_99,type,
bNF_re961930425_d_d_b: ( ( b > b ) > ( b > b ) > $o ) > ( ( ( b > b ) > b > b ) > ( ( ( d > d ) > b ) > ( d > d ) > b ) > $o ) > ( ( b > b ) > ( b > b ) > b > b ) > ( ( b > b ) > ( ( d > d ) > b ) > ( d > d ) > b ) > $o ).
thf(func_def_100,type,
bNF_re1222471293_b_b_b: ( ( b > b ) > ( b > b ) > $o ) > ( ( ( b > b ) > b > b ) > ( ( b > b ) > b > b ) > $o ) > ( ( b > b ) > ( b > b ) > b > b ) > ( ( b > b ) > ( b > b ) > b > b ) > $o ).
thf(func_def_101,type,
bNF_re1412708073_b_d_d: ( ( b > b ) > ( b > b ) > $o ) > ( ( b > d > d ) > ( b > d > d ) > $o ) > ( ( b > b ) > b > d > d ) > ( ( b > b ) > b > d > d ) > $o ).
thf(func_def_102,type,
bNF_re2075418869_b_b_b: ( ( b > b ) > ( b > b ) > $o ) > ( ( b > b ) > ( b > b ) > $o ) > ( ( b > b ) > b > b ) > ( ( b > b ) > b > b ) > $o ).
thf(func_def_103,type,
bNF_re921674337_d_d_o: ( ( c > c > $o ) > ( d > d > $o ) > $o ) > ( ( ( c > c > $o ) > ( c > c ) > $o ) > ( ( d > d > $o ) > ( d > d ) > $o ) > $o ) > ( ( c > c > $o ) > ( c > c > $o ) > ( c > c ) > $o ) > ( ( d > d > $o ) > ( d > d > $o ) > ( d > d ) > $o ) > $o ).
thf(func_def_104,type,
bNF_re764708765_d_d_o: ( ( c > c > $o ) > ( d > d > $o ) > $o ) > ( ( ( c > c ) > ( c > c ) > $o ) > ( ( d > d ) > ( d > d ) > $o ) > $o ) > ( ( c > c > $o ) > ( c > c ) > ( c > c ) > $o ) > ( ( d > d > $o ) > ( d > d ) > ( d > d ) > $o ) > $o ).
thf(func_def_105,type,
bNF_re27482973_d_d_o: ( ( c > c > $o ) > ( d > d > $o ) > $o ) > ( ( ( c > c ) > $o ) > ( ( d > d ) > $o ) > $o ) > ( ( c > c > $o ) > ( c > c ) > $o ) > ( ( d > d > $o ) > ( d > d ) > $o ) > $o ).
thf(func_def_106,type,
bNF_re1507718559_b_d_d: ( ( c > c > c ) > ( d > d > d ) > $o ) > ( ( ( c > c ) > a > c > c ) > ( ( d > d ) > b > d > d ) > $o ) > ( ( c > c > c ) > ( c > c ) > a > c > c ) > ( ( d > d > d ) > ( d > d ) > b > d > d ) > $o ).
thf(func_def_107,type,
bNF_re1164948833_d_d_d: ( ( c > a ) > ( d > b ) > $o ) > ( ( ( ( c > c ) > c ) > ( a > c > c ) > c > c ) > ( ( ( d > d ) > d ) > ( b > d > d ) > d > d ) > $o ) > ( ( c > a ) > ( ( c > c ) > c ) > ( a > c > c ) > c > c ) > ( ( d > b ) > ( ( d > d ) > d ) > ( b > d > d ) > d > d ) > $o ).
thf(func_def_108,type,
bNF_re1509948838_d_d_d: ( ( c > a ) > ( d > b ) > $o ) > ( ( c > c > c ) > ( d > d > d ) > $o ) > ( ( c > a ) > c > c > c ) > ( ( d > b ) > d > d > d ) > $o ).
thf(func_def_109,type,
bNF_re335372010_d_b_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( ( ( c > c ) > c ) > a > c ) > ( ( ( d > d ) > d ) > b > d ) > $o ) > ( ( c > c ) > ( ( c > c ) > c ) > a > c ) > ( ( d > d ) > ( ( d > d ) > d ) > b > d ) > $o ).
thf(func_def_110,type,
bNF_re1709888353_d_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( ( a > c > c ) > ( c > a ) > c > c > c ) > ( ( b > d > d ) > ( d > b ) > d > d > d ) > $o ) > ( ( c > c ) > ( a > c > c ) > ( c > a ) > c > c > c ) > ( ( d > d ) > ( b > d > d ) > ( d > b ) > d > d > d ) > $o ).
thf(func_def_111,type,
bNF_re888371717_d_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( ( c > c ) > ( c > c ) > c > c ) > ( ( d > d ) > ( d > d ) > d > d ) > $o ) > ( ( c > c ) > ( c > c ) > ( c > c ) > c > c ) > ( ( d > d ) > ( d > d ) > ( d > d ) > d > d ) > $o ).
thf(func_def_112,type,
bNF_re764096061_d_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( ( c > c ) > c > c ) > ( ( d > d ) > d > d ) > $o ) > ( ( c > c ) > ( c > c ) > c > c ) > ( ( d > d ) > ( d > d ) > d > d ) > $o ).
thf(func_def_113,type,
bNF_re781155241_d_d_o: ( ( c > c ) > ( d > d ) > $o ) > ( ( ( c > c ) > $o ) > ( ( d > d ) > $o ) > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( ( d > d ) > ( d > d ) > $o ) > $o ).
thf(func_def_114,type,
bNF_re1145286186_b_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( c > c ) > a > c > c ) > ( ( d > d ) > b > d > d ) > $o ).
thf(func_def_115,type,
bNF_re1941803873_d_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( c > c > c > c ) > ( d > d > d > d ) > $o ) > ( ( c > c ) > c > c > c > c ) > ( ( d > d ) > d > d > d > d ) > $o ).
thf(func_def_116,type,
bNF_re2078100341_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( ( c > c ) > c > c ) > ( ( d > d ) > d > d ) > $o ).
thf(func_def_117,type,
bNF_re857878889_d_o_o: ( ( c > c ) > ( d > d ) > $o ) > ( $o > $o > $o ) > ( ( c > c ) > $o ) > ( ( d > d ) > $o ) > $o ).
thf(func_def_118,type,
bNF_re1795127658_d_a_b: ( ( c > c ) > ( d > d ) > $o ) > ( a > b > $o ) > ( ( c > c ) > a ) > ( ( d > d ) > b ) > $o ).
thf(func_def_119,type,
bNF_re1303182826_d_c_d: ( ( c > c ) > ( d > d ) > $o ) > ( c > d > $o ) > ( ( c > c ) > c ) > ( ( d > d ) > d ) > $o ).
thf(func_def_120,type,
bNF_re1450278895_o_a_o: ( ( c > c ) > a > $o ) > ( ( ( c > c ) > $o ) > ( a > $o ) > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( a > a > $o ) > $o ).
thf(func_def_121,type,
bNF_re2038641070_o_b_o: ( ( c > c ) > a > $o ) > ( ( ( c > c ) > $o ) > ( b > $o ) > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( a > b > $o ) > $o ).
thf(func_def_122,type,
bNF_re1306877487_o_a_o: ( ( c > c ) > a > $o ) > ( ( ( d > d ) > $o ) > ( a > $o ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( a > a > $o ) > $o ).
thf(func_def_123,type,
bNF_re1895239662_o_b_o: ( ( c > c ) > a > $o ) > ( ( ( d > d ) > $o ) > ( b > $o ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( a > b > $o ) > $o ).
thf(func_def_124,type,
bNF_re883196986_a_o_o: ( ( c > c ) > a > $o ) > ( $o > $o > $o ) > ( ( c > c ) > $o ) > ( a > $o ) > $o ).
thf(func_def_125,type,
bNF_re1424579386_a_a_a: ( ( c > c ) > a > $o ) > ( a > a > $o ) > ( ( c > c ) > a ) > ( a > a ) > $o ).
thf(func_def_126,type,
bNF_re90976443_b_o_o: ( ( c > c ) > b > $o ) > ( $o > $o > $o ) > ( ( c > c ) > $o ) > ( b > $o ) > $o ).
thf(func_def_127,type,
bNF_re991543930_a_o_o: ( ( d > d ) > a > $o ) > ( $o > $o > $o ) > ( ( d > d ) > $o ) > ( a > $o ) > $o ).
thf(func_def_128,type,
bNF_re199323387_b_o_o: ( ( d > d ) > b > $o ) > ( $o > $o > $o ) > ( ( d > d ) > $o ) > ( b > $o ) > $o ).
thf(func_def_129,type,
bNF_re1703323451_b_b_b: ( ( d > d ) > b > $o ) > ( b > b > $o ) > ( ( d > d ) > b ) > ( b > b ) > $o ).
thf(func_def_130,type,
bNF_re1705765981_a_a_a: ( $o > $o > $o ) > ( ( a > a > a ) > ( a > a > a ) > $o ) > ( $o > a > a > a ) > ( $o > a > a > a ) > $o ).
thf(func_def_131,type,
bNF_re588060702_b_b_b: ( $o > $o > $o ) > ( ( a > a > a ) > ( b > b > b ) > $o ) > ( $o > a > a > a ) > ( $o > b > b > b ) > $o ).
thf(func_def_132,type,
bNF_re647211934_d_d_d: ( $o > $o > $o ) > ( ( c > c > c ) > ( d > d > d ) > $o ) > ( $o > c > c > c ) > ( $o > d > d > d ) > $o ).
thf(func_def_133,type,
bNF_re1482032989_c_c_c: ( a > a > $o ) > ( ( ( a > c > c ) > c > c ) > ( ( a > c > c ) > c > c ) > $o ) > ( a > ( a > c > c ) > c > c ) > ( a > ( a > c > c ) > c > c ) > $o ).
thf(func_def_134,type,
bNF_re1391160029_d_d_d: ( a > a > $o ) > ( ( ( a > c > c ) > c > c ) > ( ( a > d > d ) > d > d ) > $o ) > ( a > ( a > c > c ) > c > c ) > ( a > ( a > d > d ) > d > d ) > $o ).
thf(func_def_135,type,
bNF_re865741149_a_a_a: ( a > a > $o ) > ( ( ( a > a ) > a ) > ( ( a > a ) > a ) > $o ) > ( a > ( a > a ) > a ) > ( a > ( a > a ) > a ) > $o ).
thf(func_def_136,type,
bNF_re1093913501_a_b_b: ( a > a > $o ) > ( ( ( a > a ) > a ) > ( ( a > b ) > b ) > $o ) > ( a > ( a > a ) > a ) > ( a > ( a > b ) > b ) > $o ).
thf(func_def_137,type,
bNF_re1690123229_o_a_o: ( a > a > $o ) > ( ( a > $o ) > ( a > $o ) > $o ) > ( a > a > $o ) > ( a > a > $o ) > $o ).
thf(func_def_138,type,
bNF_re131001756_o_b_o: ( a > a > $o ) > ( ( a > $o ) > ( b > $o ) > $o ) > ( a > a > $o ) > ( a > b > $o ) > $o ).
thf(func_def_139,type,
bNF_re911029929_a_a_a: ( a > a > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( a > a > a ) > ( a > a > a ) > $o ).
thf(func_def_140,type,
bNF_re1809376028_o_a_o: ( a > a > $o ) > ( ( b > $o ) > ( a > $o ) > $o ) > ( a > b > $o ) > ( a > a > $o ) > $o ).
thf(func_def_141,type,
bNF_re250254555_o_b_o: ( a > a > $o ) > ( ( b > $o ) > ( b > $o ) > $o ) > ( a > b > $o ) > ( a > b > $o ) > $o ).
thf(func_def_142,type,
bNF_re1143700905_c_c_c: ( a > a > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > ( a > c > c ) > $o ).
thf(func_def_143,type,
bNF_re1979731817_c_d_d: ( a > a > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( a > c > c ) > ( a > d > d ) > $o ).
thf(func_def_144,type,
bNF_re950444090_c_c_a: ( a > a > $o ) > ( ( c > c ) > a > $o ) > ( a > c > c ) > ( a > a ) > $o ).
thf(func_def_145,type,
bNF_re950444091_c_c_b: ( a > a > $o ) > ( ( c > c ) > b > $o ) > ( a > c > c ) > ( a > b ) > $o ).
thf(func_def_146,type,
bNF_re2038021754_d_d_a: ( a > a > $o ) > ( ( d > d ) > a > $o ) > ( a > d > d ) > ( a > a ) > $o ).
thf(func_def_147,type,
bNF_re2038021755_d_d_b: ( a > a > $o ) > ( ( d > d ) > b > $o ) > ( a > d > d ) > ( a > b ) > $o ).
thf(func_def_148,type,
bNF_rel_fun_a_a_o_o: ( a > a > $o ) > ( $o > $o > $o ) > ( a > $o ) > ( a > $o ) > $o ).
thf(func_def_149,type,
bNF_rel_fun_a_a_a_a: ( a > a > $o ) > ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ).
thf(func_def_150,type,
bNF_rel_fun_a_a_a_b: ( a > a > $o ) > ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ).
thf(func_def_151,type,
bNF_rel_fun_a_a_b_a: ( a > a > $o ) > ( b > a > $o ) > ( a > b ) > ( a > a ) > $o ).
thf(func_def_152,type,
bNF_rel_fun_a_a_b_b: ( a > a > $o ) > ( b > b > $o ) > ( a > b ) > ( a > b ) > $o ).
thf(func_def_153,type,
bNF_re1327926367_d_d_d: ( a > b > $o ) > ( ( ( a > c > c ) > c > c ) > ( ( b > d > d ) > d > d ) > $o ) > ( a > ( a > c > c ) > c > c ) > ( b > ( b > d > d ) > d > d ) > $o ).
thf(func_def_154,type,
bNF_re1730737055_b_b_b: ( a > b > $o ) > ( ( ( a > a ) > a ) > ( ( b > b ) > b ) > $o ) > ( a > ( a > a ) > a ) > ( b > ( b > b ) > b ) > $o ).
thf(func_def_155,type,
bNF_re1573878111_b_d_d: ( a > b > $o ) > ( ( ( c > c ) > a > c > c ) > ( ( d > d ) > b > d > d ) > $o ) > ( a > ( c > c ) > a > c > c ) > ( b > ( d > d ) > b > d > d ) > $o ).
thf(func_def_156,type,
bNF_re1977372894_o_a_o: ( a > b > $o ) > ( ( a > $o ) > ( a > $o ) > $o ) > ( a > a > $o ) > ( b > a > $o ) > $o ).
thf(func_def_157,type,
bNF_re418251421_o_b_o: ( a > b > $o ) > ( ( a > $o ) > ( b > $o ) > $o ) > ( a > a > $o ) > ( b > b > $o ) > $o ).
thf(func_def_158,type,
bNF_re569932906_a_b_b: ( a > b > $o ) > ( ( a > a ) > ( b > b ) > $o ) > ( a > a > a ) > ( b > b > b ) > $o ).
thf(func_def_159,type,
bNF_re2114056618_c_c_c: ( a > b > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > ( b > c > c ) > $o ).
thf(func_def_160,type,
bNF_re802603882_c_d_d: ( a > b > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( a > c > c ) > ( b > d > d ) > $o ).
thf(func_def_161,type,
bNF_rel_fun_a_b_o_o: ( a > b > $o ) > ( $o > $o > $o ) > ( a > $o ) > ( b > $o ) > $o ).
thf(func_def_162,type,
bNF_rel_fun_a_b_a_a: ( a > b > $o ) > ( a > a > $o ) > ( a > a ) > ( b > a ) > $o ).
thf(func_def_163,type,
bNF_rel_fun_a_b_a_b: ( a > b > $o ) > ( a > b > $o ) > ( a > a ) > ( b > b ) > $o ).
thf(func_def_164,type,
bNF_rel_fun_a_b_c_d: ( a > b > $o ) > ( c > d > $o ) > ( a > c ) > ( b > d ) > $o ).
thf(func_def_165,type,
bNF_re1573506119_d_b_b: ( b > ( d > d ) > $o ) > ( b > b > $o ) > ( b > b ) > ( ( d > d ) > b ) > $o ).
thf(func_def_166,type,
bNF_re758172648_c_c_c: ( b > a > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( b > c > c ) > ( a > c > c ) > $o ).
thf(func_def_167,type,
bNF_re38477224_d_c_c: ( b > a > $o ) > ( ( d > d ) > ( c > c ) > $o ) > ( b > d > d ) > ( a > c > c ) > $o ).
thf(func_def_168,type,
bNF_rel_fun_b_a_o_o: ( b > a > $o ) > ( $o > $o > $o ) > ( b > $o ) > ( a > $o ) > $o ).
thf(func_def_169,type,
bNF_rel_fun_b_a_a_a: ( b > a > $o ) > ( a > a > $o ) > ( b > a ) > ( a > a ) > $o ).
thf(func_def_170,type,
bNF_rel_fun_b_a_b_a: ( b > a > $o ) > ( b > a > $o ) > ( b > b ) > ( a > a ) > $o ).
thf(func_def_171,type,
bNF_re1728528361_c_c_c: ( b > b > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( b > c > c ) > ( b > c > c ) > $o ).
thf(func_def_172,type,
bNF_re417075625_c_d_d: ( b > b > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( b > c > c ) > ( b > d > d ) > $o ).
thf(func_def_173,type,
bNF_re1844863849_d_d_d: ( b > b > $o ) > ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > ( b > d > d ) > $o ).
thf(func_def_174,type,
bNF_rel_fun_b_b_o_o: ( b > b > $o ) > ( $o > $o > $o ) > ( b > $o ) > ( b > $o ) > $o ).
thf(func_def_175,type,
bNF_rel_fun_b_b_a_a: ( b > b > $o ) > ( a > a > $o ) > ( b > a ) > ( b > a ) > $o ).
thf(func_def_176,type,
bNF_rel_fun_b_b_a_b: ( b > b > $o ) > ( a > b > $o ) > ( b > a ) > ( b > b ) > $o ).
thf(func_def_177,type,
bNF_rel_fun_b_b_b_b: ( b > b > $o ) > ( b > b > $o ) > ( b > b ) > ( b > b ) > $o ).
thf(func_def_178,type,
bNF_rel_fun_c_c_c_c: ( c > c > $o ) > ( c > c > $o ) > ( c > c ) > ( c > c ) > $o ).
thf(func_def_179,type,
bNF_re1313098655_d_d_d: ( c > d > $o ) > ( ( ( c > c ) > c ) > ( ( d > d ) > d ) > $o ) > ( c > ( c > c ) > c ) > ( d > ( d > d ) > d ) > $o ).
thf(func_def_180,type,
bNF_re822780063_d_d_d: ( c > d > $o ) > ( ( c > c > c ) > ( d > d > d ) > $o ) > ( c > c > c > c ) > ( d > d > d > d ) > $o ).
thf(func_def_181,type,
bNF_re391428377_o_d_o: ( c > d > $o ) > ( ( c > $o ) > ( d > $o ) > $o ) > ( c > c > $o ) > ( d > d > $o ) > $o ).
thf(func_def_182,type,
bNF_re1972258794_c_d_d: ( c > d > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( c > c > c ) > ( d > d > d ) > $o ).
thf(func_def_183,type,
bNF_rel_fun_c_d_o_o: ( c > d > $o ) > ( $o > $o > $o ) > ( c > $o ) > ( d > $o ) > $o ).
thf(func_def_184,type,
bNF_rel_fun_c_d_a_b: ( c > d > $o ) > ( a > b > $o ) > ( c > a ) > ( d > b ) > $o ).
thf(func_def_185,type,
bNF_rel_fun_c_d_c_d: ( c > d > $o ) > ( c > d > $o ) > ( c > c ) > ( d > d ) > $o ).
thf(func_def_186,type,
bNF_rel_fun_d_d_d_d: ( d > d > $o ) > ( d > d > $o ) > ( d > d ) > ( d > d ) > $o ).
thf(func_def_187,type,
comple1702356924_a_c_c: ( a > a > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > $o ).
thf(func_def_188,type,
comple61207421_b_d_d: ( b > b > $o ) > ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > $o ).
thf(func_def_189,type,
comple787379047ne_c_c: ( c > c > $o ) > ( c > c > $o ) > ( c > c ) > $o ).
thf(func_def_190,type,
comple1615148455ne_d_d: ( d > d > $o ) > ( d > d > $o ) > ( d > d ) > $o ).
thf(func_def_191,type,
ffold_a_c: ( a > c > c ) > c > fset_a > c ).
thf(func_def_192,type,
ffold_b_d: ( b > d > d ) > d > fset_b > d ).
thf(func_def_193,type,
finite746615251te_a_c: ( a > c > c ) > $o ).
thf(func_def_194,type,
finite1574384658te_b_c: ( b > c > c ) > $o ).
thf(func_def_195,type,
finite1574384659te_b_d: ( b > d > d ) > $o ).
thf(func_def_196,type,
finite40241358em_a_c: ( a > c > c ) > $o ).
thf(func_def_197,type,
finite868010765em_b_c: ( b > c > c ) > $o ).
thf(func_def_198,type,
finite868010766em_b_d: ( b > d > d ) > $o ).
thf(func_def_199,type,
finite19304177ms_a_c: ( a > c > c ) > $o ).
thf(func_def_200,type,
finite847073585ms_b_d: ( b > d > d ) > $o ).
thf(func_def_201,type,
finite1511629766ph_a_a: ( a > a > a ) > a > set_a > a > $o ).
thf(func_def_202,type,
finite1511629767ph_a_b: ( a > b > b ) > b > set_a > b > $o ).
thf(func_def_203,type,
finite1511629768ph_a_c: ( a > c > c ) > c > set_a > c > $o ).
thf(func_def_204,type,
finite1511629769ph_a_d: ( a > d > d ) > d > set_a > d > $o ).
thf(func_def_205,type,
finite191915525ph_b_a: ( b > a > a ) > a > set_b > a > $o ).
thf(func_def_206,type,
finite191915528ph_b_d: ( b > d > d ) > d > set_b > d > $o ).
thf(func_def_207,type,
finite1019684932ph_c_a: ( c > a > a ) > a > set_c > a > $o ).
thf(func_def_208,type,
finite1019684933ph_c_b: ( c > b > b ) > b > set_c > b > $o ).
thf(func_def_209,type,
finite1019684934ph_c_c: ( c > c > c ) > c > set_c > c > $o ).
thf(func_def_210,type,
finite1019684935ph_c_d: ( c > d > d ) > d > set_c > d > $o ).
thf(func_def_211,type,
comp_a_a_a_c_c_c_c_a: ( ( a > a ) > a > c > c ) > ( ( ( c > c ) > a ) > a > a ) > ( ( c > c ) > a ) > a > c > c ).
thf(func_def_212,type,
comp_a_b_a_d_d_c_c_b: ( ( a > b ) > a > d > d ) > ( ( ( c > c ) > b ) > a > b ) > ( ( c > c ) > b ) > a > d > d ).
thf(func_def_213,type,
comp_b_a_b_c_c_d_d_a: ( ( b > a ) > b > c > c ) > ( ( ( d > d ) > a ) > b > a ) > ( ( d > d ) > a ) > b > c > c ).
thf(func_def_214,type,
comp_b_b_b_d_d_d_d_b: ( ( b > b ) > b > d > d ) > ( ( ( d > d ) > b ) > b > b ) > ( ( d > d ) > b ) > b > d > d ).
thf(func_def_215,type,
comp_c_c_c_c_a: ( ( c > c ) > c > c ) > ( a > c > c ) > a > c > c ).
thf(func_def_216,type,
comp_c_c_a_c_c: ( ( c > c ) > a ) > ( ( c > c ) > c > c ) > ( c > c ) > a ).
thf(func_def_217,type,
comp_c_c_a_a: ( ( c > c ) > a ) > ( a > c > c ) > a > a ).
thf(func_def_218,type,
comp_c_c_b_a: ( ( c > c ) > b ) > ( a > c > c ) > a > b ).
thf(func_def_219,type,
comp_c_c_b_b: ( ( c > c ) > b ) > ( b > c > c ) > b > b ).
thf(func_def_220,type,
comp_d_d_d_d_b: ( ( d > d ) > d > d ) > ( b > d > d ) > b > d > d ).
thf(func_def_221,type,
comp_d_d_b_b: ( ( d > d ) > b ) > ( b > d > d ) > b > b ).
thf(func_def_222,type,
comp_a_c_c_a: ( a > c > c ) > ( a > a ) > a > c > c ).
thf(func_def_223,type,
comp_a_c_c_b: ( a > c > c ) > ( b > a ) > b > c > c ).
thf(func_def_224,type,
comp_a_a_c_c: ( a > a ) > ( ( c > c ) > a ) > ( c > c ) > a ).
thf(func_def_225,type,
comp_a_a_a: ( a > a ) > ( a > a ) > a > a ).
thf(func_def_226,type,
comp_a_a_b: ( a > a ) > ( b > a ) > b > a ).
thf(func_def_227,type,
comp_a_b_a: ( a > b ) > ( a > a ) > a > b ).
thf(func_def_228,type,
comp_a_b_b: ( a > b ) > ( b > a ) > b > b ).
thf(func_def_229,type,
comp_b_c_c_a: ( b > c > c ) > ( a > b ) > a > c > c ).
thf(func_def_230,type,
comp_b_c_c_b: ( b > c > c ) > ( b > b ) > b > c > c ).
thf(func_def_231,type,
comp_b_d_d_a: ( b > d > d ) > ( a > b ) > a > d > d ).
thf(func_def_232,type,
comp_b_d_d_b: ( b > d > d ) > ( b > b ) > b > d > d ).
thf(func_def_233,type,
comp_b_a_a: ( b > a ) > ( a > b ) > a > a ).
thf(func_def_234,type,
comp_b_a_b: ( b > a ) > ( b > b ) > b > a ).
thf(func_def_235,type,
comp_b_b_d_d: ( b > b ) > ( ( d > d ) > b ) > ( d > d ) > b ).
thf(func_def_236,type,
comp_b_b_a: ( b > b ) > ( a > b ) > a > b ).
thf(func_def_237,type,
comp_b_b_b: ( b > b ) > ( b > b ) > b > b ).
thf(func_def_238,type,
comp_c_c_c: ( c > c ) > ( c > c ) > c > c ).
thf(func_def_239,type,
comp_d_d_d: ( d > d ) > ( d > d ) > d > d ).
thf(func_def_240,type,
fun_upd_a_c_c: ( a > c > c ) > a > ( c > c ) > a > c > c ).
thf(func_def_241,type,
fun_upd_b_d_d: ( b > d > d ) > b > ( d > d ) > b > d > d ).
thf(func_def_242,type,
fun_upd_c_c: ( c > c ) > c > c > c > c ).
thf(func_def_243,type,
fun_upd_d_d: ( d > d ) > d > d > d > d ).
thf(func_def_244,type,
map_fu676564502_a_c_c: ( ( a > c > c ) > a > c > c ) > ( ( ( a > a ) > a > c > c ) > ( a > a ) > a > c > c ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > ( a > c > c ) > ( a > a ) > a > c > c ).
thf(func_def_245,type,
map_fu232832790_a_c_c: ( ( a > c > c ) > b > d > d ) > ( ( ( b > b ) > b > d > d ) > ( a > a ) > a > c > c ) > ( ( b > d > d ) > ( b > b ) > b > d > d ) > ( a > c > c ) > ( a > a ) > a > c > c ).
thf(func_def_246,type,
map_fu961723106_a_c_c: ( ( a > a ) > a > a ) > ( ( a > c > c ) > a > c > c ) > ( ( a > a ) > a > c > c ) > ( a > a ) > a > c > c ).
thf(func_def_247,type,
map_fu75729569_a_c_c: ( ( a > a ) > b > b ) > ( ( b > d > d ) > a > c > c ) > ( ( b > b ) > b > d > d ) > ( a > a ) > a > c > c ).
thf(func_def_248,type,
map_fu981964822_b_d_d: ( ( b > d > d ) > a > c > c ) > ( ( ( a > a ) > a > c > c ) > ( b > b ) > b > d > d ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > ( b > d > d ) > ( b > b ) > b > d > d ).
thf(func_def_249,type,
map_fu538233110_b_d_d: ( ( b > d > d ) > b > d > d ) > ( ( ( b > b ) > b > d > d ) > ( b > b ) > b > d > d ) > ( ( b > d > d ) > ( b > b ) > b > d > d ) > ( b > d > d ) > ( b > b ) > b > d > d ).
thf(func_def_250,type,
map_fu1569200227_b_d_d: ( ( b > b ) > a > a ) > ( ( a > c > c ) > b > d > d ) > ( ( a > a ) > a > c > c ) > ( b > b ) > b > d > d ).
thf(func_def_251,type,
map_fu683206690_b_d_d: ( ( b > b ) > b > b ) > ( ( b > d > d ) > b > d > d ) > ( ( b > b ) > b > d > d ) > ( b > b ) > b > d > d ).
thf(func_def_252,type,
map_fun_a_c_c_a_c_c: ( a > c > c ) > ( a > c > c ) > ( ( c > c ) > a ) > a > c > c ).
thf(func_def_253,type,
map_fun_a_c_c_a_a: ( a > c > c ) > ( a > a ) > ( ( c > c ) > a ) > a > a ).
thf(func_def_254,type,
map_fun_a_c_c_b_d_d: ( a > c > c ) > ( b > d > d ) > ( ( c > c ) > b ) > a > d > d ).
thf(func_def_255,type,
map_fun_a_c_c_b_b: ( a > c > c ) > ( b > b ) > ( ( c > c ) > b ) > a > b ).
thf(func_def_256,type,
map_fun_a_c_c_c_c: ( a > c > c ) > ( c > c ) > ( ( c > c ) > c ) > a > c ).
thf(func_def_257,type,
map_fun_a_a_c_c_c_c: ( a > a ) > ( ( c > c ) > c > c ) > ( a > c > c ) > a > c > c ).
thf(func_def_258,type,
map_fun_a_a_a_c_c: ( a > a ) > ( a > c > c ) > ( a > a ) > a > c > c ).
thf(func_def_259,type,
map_fun_a_a_a_a: ( a > a ) > ( a > a ) > ( a > a ) > a > a ).
thf(func_def_260,type,
map_fun_a_a_b_d_d: ( a > a ) > ( b > d > d ) > ( a > b ) > a > d > d ).
thf(func_def_261,type,
map_fun_a_b_d_d_c_c: ( a > b ) > ( ( d > d ) > c > c ) > ( b > d > d ) > a > c > c ).
thf(func_def_262,type,
map_fun_a_b_b_a: ( a > b ) > ( b > a ) > ( b > b ) > a > a ).
thf(func_def_263,type,
map_fun_a_c_c_c_c2: ( a > c ) > ( c > c > c ) > ( c > c ) > a > c > c ).
thf(func_def_264,type,
map_fun_b_d_d_a_c_c: ( b > d > d ) > ( a > c > c ) > ( ( d > d ) > a ) > b > c > c ).
thf(func_def_265,type,
map_fun_b_d_d_a_a: ( b > d > d ) > ( a > a ) > ( ( d > d ) > a ) > b > a ).
thf(func_def_266,type,
map_fun_b_d_d_b_d_d: ( b > d > d ) > ( b > d > d ) > ( ( d > d ) > b ) > b > d > d ).
thf(func_def_267,type,
map_fun_b_d_d_b_b: ( b > d > d ) > ( b > b ) > ( ( d > d ) > b ) > b > b ).
thf(func_def_268,type,
map_fun_b_d_d_d_d: ( b > d > d ) > ( d > d ) > ( ( d > d ) > d ) > b > d ).
thf(func_def_269,type,
map_fun_b_a_c_c_d_d: ( b > a ) > ( ( c > c ) > d > d ) > ( a > c > c ) > b > d > d ).
thf(func_def_270,type,
map_fun_b_a_a_b: ( b > a ) > ( a > b ) > ( a > a ) > b > b ).
thf(func_def_271,type,
map_fun_b_b_d_d_d_d: ( b > b ) > ( ( d > d ) > d > d ) > ( b > d > d ) > b > d > d ).
thf(func_def_272,type,
map_fun_b_b_a_c_c: ( b > b ) > ( a > c > c ) > ( b > a ) > b > c > c ).
thf(func_def_273,type,
map_fun_b_b_b_d_d: ( b > b ) > ( b > d > d ) > ( b > b ) > b > d > d ).
thf(func_def_274,type,
map_fun_b_b_b_b: ( b > b ) > ( b > b ) > ( b > b ) > b > b ).
thf(func_def_275,type,
map_fun_b_d_d_d_d2: ( b > d ) > ( d > d > d ) > ( d > d ) > b > d > d ).
thf(func_def_276,type,
map_fun_c_a_c_c_c: ( c > a ) > ( ( c > c ) > c ) > ( a > c > c ) > c > c ).
thf(func_def_277,type,
map_fun_c_c_a_c_c: ( c > c ) > ( a > c > c ) > ( c > a ) > c > c > c ).
thf(func_def_278,type,
map_fun_c_c_c_c: ( c > c ) > ( c > c ) > ( c > c ) > c > c ).
thf(func_def_279,type,
map_fun_d_b_d_d_d: ( d > b ) > ( ( d > d ) > d ) > ( b > d > d ) > d > d ).
thf(func_def_280,type,
map_fun_d_d_b_d_d: ( d > d ) > ( b > d > d ) > ( d > b ) > d > d > d ).
thf(func_def_281,type,
map_fun_d_d_d_d: ( d > d ) > ( d > d ) > ( d > d ) > d > d ).
thf(func_def_282,type,
plus_plus_multiset_a: multiset_a > multiset_a > multiset_a ).
thf(func_def_283,type,
plus_plus_multiset_b: multiset_b > multiset_b > multiset_b ).
thf(func_def_284,type,
if_a: $o > a > a > a ).
thf(func_def_285,type,
if_b: $o > b > b > b ).
thf(func_def_286,type,
if_c: $o > c > c > c ).
thf(func_def_287,type,
if_d: $o > d > d > d ).
thf(func_def_288,type,
fold_mset_a_c: ( a > c > c ) > c > multiset_a > c ).
thf(func_def_289,type,
fold_mset_b_d: ( b > d > d ) > d > multiset_b > d ).
thf(func_def_290,type,
ord_le469275661_d_d_o: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
thf(func_def_291,type,
ord_le1338099484_d_d_o: ( ( c > c ) > ( d > d ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > $o ).
thf(func_def_292,type,
ord_less_eq_a_b_o: ( a > b > $o ) > ( a > b > $o ) > $o ).
thf(func_def_293,type,
ord_less_eq_c_d_o: ( c > d > $o ) > ( c > d > $o ) > $o ).
thf(func_def_294,type,
partia186872226_c_c_a: ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > ( a > c > c ) > $o ).
thf(func_def_295,type,
partia1709452835_d_d_b: ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > ( b > d > d ) > $o ).
thf(func_def_296,type,
partia1494029680_c_c_c: ( c > c > $o ) > ( c > c ) > ( c > c ) > $o ).
thf(func_def_297,type,
partia1041982257_d_d_d: ( d > d > $o ) > ( d > d ) > ( d > d ) > $o ).
thf(func_def_298,type,
quotient3_c_c_c_c: ( ( c > c ) > ( c > c ) > $o ) > ( ( c > c ) > c > c ) > ( ( c > c ) > c > c ) > $o ).
thf(func_def_299,type,
quotient3_c_c_d_d: ( ( c > c ) > ( c > c ) > $o ) > ( ( c > c ) > d > d ) > ( ( d > d ) > c > c ) > $o ).
thf(func_def_300,type,
quotient3_c_c_a: ( ( c > c ) > ( c > c ) > $o ) > ( ( c > c ) > a ) > ( a > c > c ) > $o ).
thf(func_def_301,type,
quotient3_d_d_c_c: ( ( d > d ) > ( d > d ) > $o ) > ( ( d > d ) > c > c ) > ( ( c > c ) > d > d ) > $o ).
thf(func_def_302,type,
quotient3_d_d_d_d: ( ( d > d ) > ( d > d ) > $o ) > ( ( d > d ) > d > d ) > ( ( d > d ) > d > d ) > $o ).
thf(func_def_303,type,
quotient3_d_d_b: ( ( d > d ) > ( d > d ) > $o ) > ( ( d > d ) > b ) > ( b > d > d ) > $o ).
thf(func_def_304,type,
quotient3_a_c_c: ( a > a > $o ) > ( a > c > c ) > ( ( c > c ) > a ) > $o ).
thf(func_def_305,type,
quotient3_a_a: ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ).
thf(func_def_306,type,
quotient3_a_b: ( a > a > $o ) > ( a > b ) > ( b > a ) > $o ).
thf(func_def_307,type,
quotient3_b_d_d: ( b > b > $o ) > ( b > d > d ) > ( ( d > d ) > b ) > $o ).
thf(func_def_308,type,
quotient3_b_a: ( b > b > $o ) > ( b > a ) > ( a > b ) > $o ).
thf(func_def_309,type,
quotient3_b_b: ( b > b > $o ) > ( b > b ) > ( b > b ) > $o ).
thf(func_def_310,type,
relcom1813708708_b_d_d: ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > c > c ) > ( b > d > d ) > $o ) > ( a > c > c ) > ( b > d > d ) > $o ).
thf(func_def_311,type,
relcom1887247779_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( b > d > d ) > ( b > d > d ) > $o ) > ( a > c > c ) > ( b > d > d ) > $o ).
thf(func_def_312,type,
relcompp_c_c_c_c_c_c: ( ( c > c ) > ( c > c ) > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( c > c ) > ( c > c ) > $o ).
thf(func_def_313,type,
relcompp_c_c_c_c_d_d: ( ( c > c ) > ( c > c ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( c > c ) > ( d > d ) > $o ).
thf(func_def_314,type,
relcompp_c_c_d_d_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( d > d ) > ( d > d ) > $o ) > ( c > c ) > ( d > d ) > $o ).
thf(func_def_315,type,
relcompp_d_d_d_d_d_d: ( ( d > d ) > ( d > d ) > $o ) > ( ( d > d ) > ( d > d ) > $o ) > ( d > d ) > ( d > d ) > $o ).
thf(func_def_316,type,
relcompp_a_a_a: ( a > a > $o ) > ( a > a > $o ) > a > a > $o ).
thf(func_def_317,type,
relcompp_a_a_b: ( a > a > $o ) > ( a > b > $o ) > a > b > $o ).
thf(func_def_318,type,
relcompp_a_b_b: ( a > b > $o ) > ( b > b > $o ) > a > b > $o ).
thf(func_def_319,type,
relcompp_b_b_b: ( b > b > $o ) > ( b > b > $o ) > b > b > $o ).
thf(func_def_320,type,
relcompp_c_c_d: ( c > c > $o ) > ( c > d > $o ) > c > d > $o ).
thf(func_def_321,type,
relcompp_c_d_d: ( c > d > $o ) > ( d > d > $o ) > c > d > $o ).
thf(func_def_322,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_323,type,
collect_b: ( b > $o ) > set_b ).
thf(func_def_324,type,
collect_c: ( c > $o ) > set_c ).
thf(func_def_325,type,
collect_d: ( d > $o ) > set_d ).
thf(func_def_326,type,
bi_total_a_c_c_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
thf(func_def_327,type,
bi_total_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
thf(func_def_328,type,
bi_total_a_b: ( a > b > $o ) > $o ).
thf(func_def_329,type,
bi_total_c_d: ( c > d > $o ) > $o ).
thf(func_def_330,type,
bi_uni844770768_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
thf(func_def_331,type,
bi_unique_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
thf(func_def_332,type,
bi_unique_a_b: ( a > b > $o ) > $o ).
thf(func_def_333,type,
bi_unique_c_d: ( c > d > $o ) > $o ).
thf(func_def_334,type,
left_t1993719015_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
thf(func_def_335,type,
left_total_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
thf(func_def_336,type,
left_total_a_b: ( a > b > $o ) > $o ).
thf(func_def_337,type,
left_total_b_b: ( b > b > $o ) > $o ).
thf(func_def_338,type,
left_total_c_d: ( c > d > $o ) > $o ).
thf(func_def_339,type,
left_total_d_d: ( d > d > $o ) > $o ).
thf(func_def_340,type,
left_u1654071760_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
thf(func_def_341,type,
left_unique_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
thf(func_def_342,type,
left_unique_d_d_d_d: ( ( d > d ) > ( d > d ) > $o ) > $o ).
thf(func_def_343,type,
left_unique_a_a: ( a > a > $o ) > $o ).
thf(func_def_344,type,
left_unique_a_b: ( a > b > $o ) > $o ).
thf(func_def_345,type,
left_unique_c_c: ( c > c > $o ) > $o ).
thf(func_def_346,type,
left_unique_c_d: ( c > d > $o ) > $o ).
thf(func_def_347,type,
left_unique_d_d: ( d > d > $o ) > $o ).
thf(func_def_348,type,
rev_implies: $o > $o > $o ).
thf(func_def_349,type,
right_386984928_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
thf(func_def_350,type,
right_total_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
thf(func_def_351,type,
right_total_d_d_d_d: ( ( d > d ) > ( d > d ) > $o ) > $o ).
thf(func_def_352,type,
right_total_a_a: ( a > a > $o ) > $o ).
thf(func_def_353,type,
right_total_a_b: ( a > b > $o ) > $o ).
thf(func_def_354,type,
right_total_c_c: ( c > c > $o ) > $o ).
thf(func_def_355,type,
right_total_c_d: ( c > d > $o ) > $o ).
thf(func_def_356,type,
right_total_d_d: ( d > d > $o ) > $o ).
thf(func_def_357,type,
right_2142487_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
thf(func_def_358,type,
right_unique_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
thf(func_def_359,type,
right_unique_a_b: ( a > b > $o ) > $o ).
thf(func_def_360,type,
right_unique_b_b: ( b > b > $o ) > $o ).
thf(func_def_361,type,
right_unique_c_d: ( c > d > $o ) > $o ).
thf(func_def_362,type,
right_unique_d_d: ( d > d > $o ) > $o ).
thf(func_def_363,type,
member_a: a > set_a > $o ).
thf(func_def_364,type,
member_b: b > set_b > $o ).
thf(func_def_365,type,
member_c: c > set_c > $o ).
thf(func_def_366,type,
member_d: d > set_d > $o ).
thf(func_def_367,type,
a2: a > b > $o ).
thf(func_def_368,type,
b2: c > d > $o ).
thf(func_def_369,type,
f1: a > c > c ).
thf(func_def_370,type,
f2: b > d > d ).
thf(func_def_382,type,
sK0: a > ( a > c > c ) > ( a > c > c ) > a ).
thf(func_def_383,type,
sK1: ( a > c > c ) > ( a > c > c ) > a > a ).
thf(func_def_384,type,
sK2: ( a > c > c ) > ( a > c > c ) > a ).
thf(func_def_385,type,
sK3: ( a > a ) > ( a > c > c ) > a > c > c ).
thf(func_def_386,type,
sK4: ( a > a ) > ( a > c > c ) > a ).
thf(func_def_387,type,
sK5: ( a > a ) > ( a > c > c ) > a ).
thf(func_def_389,type,
ph7:
!>[X0: $tType] : X0 ).
thf(f926,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f906,f919]) ).
thf(f919,plain,
( ( finite746615251te_a_c @ f1 )
= $true ),
inference(cnf_transformation,[status(thm)],[f422]) ).
thf(f422,plain,
( ( finite746615251te_a_c @ f1 )
= $true ),
inference(fool_elimination,[status(thm)],[f421]) ).
thf(f421,plain,
finite746615251te_a_c @ f1,
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
finite746615251te_a_c @ f1,
file('/export/starexec/sandbox2/tmp/tmp.wLx8bn5BWO/DTF2THF_16955.p',fact_0_assms_I2_J) ).
thf(f906,plain,
( ( finite746615251te_a_c @ f1 )
!= $true ),
inference(cnf_transformation,[status(thm)],[f877]) ).
thf(f877,plain,
( ( finite746615251te_a_c @ f1 )
!= $true ),
inference(flattening,[status(thm)],[f616]) ).
thf(f616,plain,
( ( finite746615251te_a_c @ f1 )
!= $true ),
inference(fool_elimination,[status(thm)],[f615]) ).
thf(f615,plain,
~ ( finite746615251te_a_c @ f1 ),
inference(rectify,[status(thm)],[f365]) ).
thf(f365,negated_conjecture,
~ ( finite746615251te_a_c @ f1 ),
inference(negated_conjecture,[status(cth)],[f364]) ).
thf(f364,conjecture,
finite746615251te_a_c @ f1,
file('/export/starexec/sandbox2/tmp/tmp.wLx8bn5BWO/DTF2THF_16955.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP128^1 : TPTP v9.2.1. Released v7.5.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.34 % Computer : n002.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 08:27:33 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.28/0.46 ---- Original DTF file ---
% 0.28/0.47 thf(spec,logic,$$dhol).
% 0.28/0.47 %------------------------------------------------------------------------------
% 0.28/0.47 % File : ITP128^1 : TPTP v9.2.1. Released v7.5.0.
% 0.28/0.47 % Domain : Interactive Theorem Proving
% 0.28/0.47 % Problem : Sledgehammer Monomorphic_Monad problem prob_47__7041882_1
% 0.28/0.47 % Version : Especial.
% 0.28/0.47 % English :
% 0.28/0.47
% 0.28/0.47 % Refs : [BH+15] Blanchette et al. (2015), Mining the Archive of Formal
% 0.28/0.47 % : [Des21] Desharnais (2021), Email to Geoff Sutcliffe
% 0.28/0.47 % Source : [Des21]
% 0.28/0.47 % Names : Monomorphic_Monad/prob_47__7041882_1 [Des21]
% 0.28/0.47
% 0.28/0.47 % Status : Theorem
% 0.28/0.47 % Rating : 0.00 v9.0.0, 0.10 v8.2.0, 0.00 v7.5.0
% 0.28/0.47 % Syntax : Number of formulae : 735 ( 97 unt; 371 typ; 0 def)
% 0.28/0.47 % Number of atoms : 1443 ( 463 equ; 0 cnn)
% 0.28/0.47 % Maximal formula atoms : 15 ( 3 avg)
% 0.28/0.47 % Number of connectives : 4482 ( 0 ~; 1 |; 12 &;3946 @)
% 0.28/0.47 % ( 0 <=>; 523 =>; 0 <=; 0 <~>)
% 0.28/0.47 % Maximal formula depth : 19 ( 9 avg)
% 0.28/0.47 % Number of types : 13 ( 12 usr)
% 0.28/0.47 % Number of type conns : 7415 (7415 >; 0 *; 0 +; 0 <<)
% 0.28/0.47 % Number of symbols : 362 ( 359 usr; 2 con; 0-7 aty)
% 0.28/0.47 % Number of variables : 1860 ( 394 ^;1460 !; 6 ?;1860 :)
% 0.28/0.47 % SPC : TH0_THM_EQU_NAR
% 0.28/0.47
% 0.28/0.47 % Comments : This file was generated by Sledgehammer 2021-02-23 15:29:58.508
% 0.28/0.47 %------------------------------------------------------------------------------
% 0.28/0.47 % Could-be-implicit typings (12)
% 0.28/0.47 thf(ty_n_t__Multiset__Omultiset_Itf__b_J,type,
% 0.28/0.47 multiset_b: $tType ).
% 0.28/0.47
% 0.28/0.47 thf(ty_n_t__Multiset__Omultiset_Itf__a_J,type,
% 0.28/0.47 multiset_a: $tType ).
% 0.28/0.47
% 0.28/0.47 thf(ty_n_t__FSet__Ofset_Itf__b_J,type,
% 0.28/0.47 fset_b: $tType ).
% 0.28/0.47
% 0.28/0.47 thf(ty_n_t__FSet__Ofset_Itf__a_J,type,
% 0.28/0.47 fset_a: $tType ).
% 0.28/0.47
% 0.28/0.47 thf(ty_n_t__Set__Oset_Itf__d_J,type,
% 0.28/0.47 set_d: $tType ).
% 0.28/0.47
% 0.28/0.47 thf(ty_n_t__Set__Oset_Itf__c_J,type,
% 0.28/0.47 set_c: $tType ).
% 0.28/0.47
% 0.28/0.47 thf(ty_n_t__Set__Oset_Itf__b_J,type,
% 0.28/0.47 set_b: $tType ).
% 0.28/0.47
% 0.28/0.47 thf(ty_n_t__Set__Oset_Itf__a_J,type,
% 0.28/0.47 set_a: $tType ).
% 0.28/0.47
% 0.28/0.47 thf(ty_n_tf__d,type,
% 0.28/0.47 d: $tType ).
% 0.28/0.47
% 0.28/0.47 thf(ty_n_tf__c,type,
% 0.28/0.47 c: $tType ).
% 0.28/0.47
% 0.28/0.47 thf(ty_n_tf__b,type,
% 0.28/0.47 b: $tType ).
% 0.28/0.47
% 0.28/0.47 thf(ty_n_tf__a,type,
% 0.28/0.47 a: $tType ).
% 0.28/0.47
% 0.28/0.47 % Explicit typings (359)
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_Eo_J_J,type,
% 0.28/0.47 bNF_re19414301_d_d_o: ( ( ( c > c ) > ( c > c ) > $o ) > ( ( d > d ) > ( d > d ) > $o ) > $o ) > ( ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( b > d > d ) > ( b > d > d ) > $o ) > $o ) > ( ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > ( a > c > c ) > $o ) > ( ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > ( b > d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_Eo_J,type,
% 0.28/0.47 bNF_re674980784_d_d_o: ( ( ( c > c ) > ( c > c ) > $o ) > ( ( d > d ) > ( d > d ) > $o ) > $o ) > ( ( ( a > c > c ) > $o ) > ( ( b > d > d ) > $o ) > $o ) > ( ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > $o ) > ( ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_J_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J,type,
% 0.28/0.47 bNF_re1867846365_a_a_o: ( ( ( c > c ) > ( c > c ) > $o ) > ( a > a > $o ) > $o ) > ( ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ) > ( ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_J_001_062_Itf__a_M_062_Itf__b_M_Eo_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_J,type,
% 0.28/0.47 bNF_re708047067_a_b_o: ( ( ( c > c ) > ( c > c ) > $o ) > ( a > b > $o ) > $o ) > ( ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ) > ( ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J,type,
% 0.28/0.47 bNF_re145798749_a_a_o: ( ( ( c > c ) > ( d > d ) > $o ) > ( a > a > $o ) > $o ) > ( ( ( a > c > c ) > ( a > d > d ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ) > ( ( ( c > c ) > ( d > d ) > $o ) > ( a > c > c ) > ( a > d > d ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J_001_062_Itf__a_M_062_Itf__b_M_Eo_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_J,type,
% 0.28/0.47 bNF_re1133483099_a_b_o: ( ( ( c > c ) > ( d > d ) > $o ) > ( a > b > $o ) > $o ) > ( ( ( a > c > c ) > ( a > d > d ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ) > ( ( ( c > c ) > ( d > d ) > $o ) > ( a > c > c ) > ( a > d > d ) > $o ) > ( ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J,type,
% 0.28/0.47 bNF_re141854397_b_d_d: ( ( ( c > c ) > c > c ) > ( ( d > d ) > d > d ) > $o ) > ( ( ( a > c > c ) > a > c > c ) > ( ( b > d > d ) > b > d > d ) > $o ) > ( ( ( c > c ) > c > c ) > ( a > c > c ) > a > c > c ) > ( ( ( d > d ) > d > d ) > ( b > d > d ) > b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 bNF_re35019871_b_d_d: ( ( ( c > c ) > a ) > ( ( d > d ) > b ) > $o ) > ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( c > c ) > a ) > a > c > c ) > ( ( ( d > d ) > b ) > b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J_001_062_Itf__a_Mtf__a_J,type,
% 0.28/0.47 bNF_re1177671453_a_a_a: ( ( ( c > c ) > a ) > ( a > a ) > $o ) > ( ( ( c > c ) > a ) > ( a > a ) > $o ) > ( ( ( c > c ) > a ) > ( c > c ) > a ) > ( ( a > a ) > a > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__d_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 bNF_re1238578079_d_d_d: ( ( ( c > c ) > c ) > ( ( d > d ) > d ) > $o ) > ( ( ( a > c > c ) > c > c ) > ( ( b > d > d ) > d > d ) > $o ) > ( ( ( c > c ) > c ) > ( a > c > c ) > c > c ) > ( ( ( d > d ) > d ) > ( b > d > d ) > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__d_J_001_062_Itf__a_Mtf__c_J_001_062_Itf__b_Mtf__d_J,type,
% 0.28/0.47 bNF_re1209333166_c_b_d: ( ( ( c > c ) > c ) > ( ( d > d ) > d ) > $o ) > ( ( a > c ) > ( b > d ) > $o ) > ( ( ( c > c ) > c ) > a > c ) > ( ( ( d > d ) > d ) > b > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_001_062_Itf__b_Mtf__b_J,type,
% 0.28/0.47 bNF_re323253981_b_b_b: ( ( ( d > d ) > b ) > ( b > b ) > $o ) > ( ( ( d > d ) > b ) > ( b > b ) > $o ) > ( ( ( d > d ) > b ) > ( d > d ) > b ) > ( ( b > b ) > b > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J,type,
% 0.28/0.47 bNF_re1403739741_a_a_o: ( ( a > a > $o ) > ( a > a > $o ) > $o ) > ( ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_Itf__a_M_062_Itf__b_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_J,type,
% 0.28/0.47 bNF_re1165460699_a_b_o: ( ( a > a > $o ) > ( a > b > $o ) > $o ) > ( ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_Itf__b_M_062_Itf__a_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__b_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J,type,
% 0.28/0.47 bNF_re1310167325_a_a_o: ( ( a > a > $o ) > ( b > a > $o ) > $o ) > ( ( ( a > a ) > ( a > a ) > $o ) > ( ( a > b ) > ( a > a ) > $o ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > ( ( b > a > $o ) > ( a > b ) > ( a > a ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_Itf__b_M_062_Itf__b_M_Eo_J_J_001_062_I_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_J_M_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_J_001_062_I_062_I_062_Itf__d_Mtf__d_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J_M_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_Eo_J_J,type,
% 0.28/0.47 bNF_re2129955100_d_d_o: ( ( a > a > $o ) > ( b > b > $o ) > $o ) > ( ( ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > $o ) > ( ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > $o ) > $o ) > ( ( a > a > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > $o ) > ( ( b > b > $o ) > ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_Itf__b_M_062_Itf__b_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__b_J_M_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_J,type,
% 0.28/0.47 bNF_re1071888283_a_b_o: ( ( a > a > $o ) > ( b > b > $o ) > $o ) > ( ( ( a > a ) > ( a > a ) > $o ) > ( ( a > b ) > ( a > b ) > $o ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > ( ( b > b > $o ) > ( a > b ) > ( a > b ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__b_M_Eo_J_J_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J,type,
% 0.28/0.47 bNF_re231976415_a_a_o: ( ( a > b > $o ) > ( a > a > $o ) > $o ) > ( ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ) > ( ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__b_M_Eo_J_J_001_062_Itf__a_M_062_Itf__b_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_J,type,
% 0.28/0.47 bNF_re2141181021_a_b_o: ( ( a > b > $o ) > ( a > b > $o ) > $o ) > ( ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ) > ( ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ) > ( ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J,type,
% 0.28/0.47 bNF_re880840541_a_c_c: ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( ( a > a ) > a > c > c ) > ( ( a > a ) > a > c > c ) > $o ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__b_Mtf__a_J_M_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_J,type,
% 0.28/0.47 bNF_re1311853791_b_c_c: ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( ( a > a ) > a > c > c ) > ( ( b > a ) > b > c > c ) > $o ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > ( ( a > c > c ) > ( b > a ) > b > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__b_Mtf__a_J_M_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J,type,
% 0.28/0.47 bNF_re978949211_a_c_c: ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( ( b > a ) > b > c > c ) > ( ( a > a ) > a > c > c ) > $o ) > ( ( a > c > c ) > ( b > a ) > b > c > c ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__b_Mtf__a_J_M_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__b_Mtf__a_J_M_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_J,type,
% 0.28/0.47 bNF_re1409962461_b_c_c: ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( ( b > a ) > b > c > c ) > ( ( b > a ) > b > c > c ) > $o ) > ( ( a > c > c ) > ( b > a ) > b > c > c ) > ( ( a > c > c ) > ( b > a ) > b > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 bNF_re27458217_c_c_c: ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( ( a > c > c ) > c > c ) > ( ( a > c > c ) > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 bNF_re1955249705_c_d_d: ( ( a > c > c ) > ( a > d > d ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( ( a > c > c ) > c > c ) > ( ( a > d > d ) > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J,type,
% 0.28/0.47 bNF_re1684125987_a_a_o: ( ( a > c > c ) > ( a > a ) > $o ) > ( ( ( a > c > c ) > $o ) > ( ( a > a ) > $o ) > $o ) > ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__b_J_M_Eo_J,type,
% 0.28/0.47 bNF_re364411746_a_b_o: ( ( a > c > c ) > ( a > a ) > $o ) > ( ( ( a > c > c ) > $o ) > ( ( a > b ) > $o ) > $o ) > ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J,type,
% 0.28/0.47 bNF_re1652452067_a_a_o: ( ( a > c > c ) > ( a > a ) > $o ) > ( ( ( a > d > d ) > $o ) > ( ( a > a ) > $o ) > $o ) > ( ( a > c > c ) > ( a > d > d ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__b_J_M_Eo_J,type,
% 0.28/0.47 bNF_re332737826_a_b_o: ( ( a > c > c ) > ( a > a ) > $o ) > ( ( ( a > d > d ) > $o ) > ( ( a > b ) > $o ) > $o ) > ( ( a > c > c ) > ( a > d > d ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_Mtf__a_J_001_Eo_001_Eo,type,
% 0.28/0.47 bNF_re2074539676_a_o_o: ( ( a > c > c ) > ( a > a ) > $o ) > ( $o > $o > $o ) > ( ( a > c > c ) > $o ) > ( ( a > a ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_Mtf__b_J_001_Eo_001_Eo,type,
% 0.28/0.47 bNF_re1256092317_b_o_o: ( ( a > c > c ) > ( a > b ) > $o ) > ( $o > $o > $o ) > ( ( a > c > c ) > $o ) > ( ( a > b ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J,type,
% 0.28/0.47 bNF_re387831090_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( ( c > c ) > a ) > a > c > c ) > ( ( ( d > d ) > b ) > b > d > d ) > $o ) > ( ( a > c > c ) > ( ( c > c ) > a ) > a > c > c ) > ( ( b > d > d ) > ( ( d > d ) > b ) > b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_I_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_J,type,
% 0.28/0.47 bNF_re364486559_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( a > c > c ) > ( ( c > c ) > a ) > a > c > c ) > ( ( b > d > d ) > ( ( d > d ) > b ) > b > d > d ) > $o ) > ( ( a > c > c ) > ( a > c > c ) > ( ( c > c ) > a ) > a > c > c ) > ( ( b > d > d ) > ( b > d > d ) > ( ( d > d ) > b ) > b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_Eo_J,type,
% 0.28/0.47 bNF_re1855937521_d_d_o: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( a > c > c ) > $o ) > ( ( b > d > d ) > $o ) > $o ) > ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( b > d > d ) > ( b > d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__a_Mtf__b_J_M_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_J,type,
% 0.28/0.47 bNF_re631104669_a_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( a > a ) > a > c > c ) > ( ( a > b ) > a > d > d ) > $o ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > ( ( b > d > d ) > ( a > b ) > a > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J,type,
% 0.28/0.47 bNF_re1062117919_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( a > a ) > a > c > c ) > ( ( b > b ) > b > d > d ) > $o ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > ( ( b > d > d ) > ( b > b ) > b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__b_Mtf__a_J_M_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J,type,
% 0.28/0.47 bNF_re1160226589_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( b > a ) > b > c > c ) > ( ( b > b ) > b > d > d ) > $o ) > ( ( a > c > c ) > ( b > a ) > b > c > c ) > ( ( b > d > d ) > ( b > b ) > b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__c_Mtf__a_J_M_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__d_Mtf__b_J_M_062_Itf__d_M_062_Itf__d_Mtf__d_J_J_J,type,
% 0.28/0.47 bNF_re2120361759_d_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( c > a ) > c > c > c ) > ( ( d > b ) > d > d > d ) > $o ) > ( ( a > c > c ) > ( c > a ) > c > c > c ) > ( ( b > d > d ) > ( d > b ) > d > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_M_062_Itf__a_Mtf__c_J_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_I_062_I_062_Itf__d_Mtf__d_J_Mtf__d_J_M_062_Itf__b_Mtf__d_J_J_J,type,
% 0.28/0.47 bNF_re727696351_d_b_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( c > c ) > ( ( c > c ) > c ) > a > c ) > ( ( d > d ) > ( ( d > d ) > d ) > b > d ) > $o ) > ( ( a > c > c ) > ( c > c ) > ( ( c > c ) > c ) > a > c ) > ( ( b > d > d ) > ( d > d ) > ( ( d > d ) > d ) > b > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_M_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_J_001_062_Itf__b_M_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_J,type,
% 0.28/0.47 bNF_re1424479610_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( a > ( c > c ) > a > c > c ) > ( b > ( d > d ) > b > d > d ) > $o ) > ( ( a > c > c ) > a > ( c > c ) > a > c > c ) > ( ( b > d > d ) > b > ( d > d ) > b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 bNF_re692482399_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( a > c > c ) > a > c > c ) > ( ( b > d > d ) > b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 bNF_re84044842_c_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( ( a > c > c ) > c > c ) > ( ( b > d > d ) > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_Eo_001_Eo,type,
% 0.28/0.47 bNF_re1501709470_d_o_o: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( $o > $o > $o ) > ( ( a > c > c ) > $o ) > ( ( b > d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_Mtf__a_J_001_Eo_001_Eo,type,
% 0.28/0.47 bNF_re1620723804_a_o_o: ( ( a > d > d ) > ( a > a ) > $o ) > ( $o > $o > $o ) > ( ( a > d > d ) > $o ) > ( ( a > a ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_Mtf__b_J_001_Eo_001_Eo,type,
% 0.28/0.47 bNF_re802276445_b_o_o: ( ( a > d > d ) > ( a > b ) > $o ) > ( $o > $o > $o ) > ( ( a > d > d ) > $o ) > ( ( a > b ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J_M_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J,type,
% 0.28/0.47 bNF_re1503602041_a_a_a: ( ( a > a ) > ( a > a ) > $o ) > ( ( ( ( c > c ) > a ) > ( c > c ) > a ) > ( ( a > a ) > a > a ) > $o ) > ( ( a > a ) > ( ( c > c ) > a ) > ( c > c ) > a ) > ( ( a > a ) > ( a > a ) > a > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J,type,
% 0.28/0.47 bNF_re1258259453_a_a_a: ( ( a > a ) > ( a > a ) > $o ) > ( ( ( a > a ) > a > a ) > ( ( a > a ) > a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a > a ) > ( ( a > a ) > ( a > a ) > a > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J,type,
% 0.28/0.47 bNF_re1900831913_a_a_o: ( ( a > a ) > ( a > a ) > $o ) > ( ( ( a > a ) > $o ) > ( ( a > a ) > $o ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__b_J_M_Eo_J,type,
% 0.28/0.47 bNF_re581117672_a_b_o: ( ( a > a ) > ( a > a ) > $o ) > ( ( ( a > a ) > $o ) > ( ( a > b ) > $o ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J,type,
% 0.28/0.47 bNF_re984549674_a_a_o: ( ( a > a ) > ( a > a ) > $o ) > ( ( ( a > b ) > $o ) > ( ( a > a ) > $o ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__b_J_M_Eo_J,type,
% 0.28/0.47 bNF_re1812319081_a_b_o: ( ( a > a ) > ( a > a ) > $o ) > ( ( ( a > b ) > $o ) > ( ( a > b ) > $o ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J,type,
% 0.28/0.47 bNF_re1691224489_a_c_c: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > a ) > a > c > c ) > ( ( a > a ) > a > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J,type,
% 0.28/0.47 bNF_re1690311157_a_a_a: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > a > a ) > ( ( a > a ) > a > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J,type,
% 0.28/0.47 bNF_re1698572662_a_a_b: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > a > a ) > ( ( a > a ) > a > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_Eo_001_Eo,type,
% 0.28/0.47 bNF_re134330537_a_o_o: ( ( a > a ) > ( a > a ) > $o ) > ( $o > $o > $o ) > ( ( a > a ) > $o ) > ( ( a > a ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001tf__a_001tf__a,type,
% 0.28/0.47 bNF_re571457705_a_a_a: ( ( a > a ) > ( a > a ) > $o ) > ( a > a > $o ) > ( ( a > a ) > a ) > ( ( a > a ) > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__b_J_J,type,
% 0.28/0.47 bNF_re1514436479_a_a_b: ( ( a > a ) > ( a > b ) > $o ) > ( ( ( a > a ) > a > a ) > ( ( a > a ) > a > b ) > $o ) > ( ( a > a ) > ( a > a ) > a > a ) > ( ( a > b ) > ( a > a ) > a > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J,type,
% 0.28/0.47 bNF_re390230442_a_a_o: ( ( a > a ) > ( a > b ) > $o ) > ( ( ( a > a ) > $o ) > ( ( a > a ) > $o ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( ( a > b ) > ( a > a ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__b_J_M_Eo_J,type,
% 0.28/0.47 bNF_re1217999849_a_b_o: ( ( a > a ) > ( a > b ) > $o ) > ( ( ( a > a ) > $o ) > ( ( a > b ) > $o ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( ( a > b ) > ( a > b ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 bNF_re1787520874_a_d_d: ( ( a > a ) > ( a > b ) > $o ) > ( ( a > c > c ) > ( a > d > d ) > $o ) > ( ( a > a ) > a > c > c ) > ( ( a > b ) > a > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J,type,
% 0.28/0.47 bNF_re857382262_a_a_a: ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > a > a ) > ( ( a > b ) > a > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J,type,
% 0.28/0.47 bNF_re865643767_a_a_b: ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > a > a ) > ( ( a > b ) > a > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001_Eo_001_Eo,type,
% 0.28/0.47 bNF_re1463366826_b_o_o: ( ( a > a ) > ( a > b ) > $o ) > ( $o > $o > $o ) > ( ( a > a ) > $o ) > ( ( a > b ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001tf__a_001tf__b,type,
% 0.28/0.47 bNF_re473406379_b_a_b: ( ( a > a ) > ( a > b ) > $o ) > ( a > b > $o ) > ( ( a > a ) > a ) > ( ( a > b ) > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__a_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J_001_062_I_062_Itf__a_Mtf__b_J_M_062_Itf__a_Mtf__a_J_J,type,
% 0.28/0.47 bNF_re539937469_b_a_a: ( ( a > a ) > ( b > a ) > $o ) > ( ( ( a > a ) > a > a ) > ( ( a > b ) > a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a > a ) > ( ( b > a ) > ( a > b ) > a > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__a_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__c_Mtf__c_J_J,type,
% 0.28/0.47 bNF_re1665173865_b_c_c: ( ( a > a ) > ( b > a ) > $o ) > ( ( a > c > c ) > ( b > c > c ) > $o ) > ( ( a > a ) > a > c > c ) > ( ( b > a ) > b > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_J_001_062_I_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__d_Mtf__d_J_J_M_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_J,type,
% 0.28/0.47 bNF_re932551557_b_d_d: ( ( a > a ) > ( b > b ) > $o ) > ( ( ( ( c > c ) > c > c ) > ( a > c > c ) > a > c > c ) > ( ( ( d > d ) > d > d ) > ( b > d > d ) > b > d > d ) > $o ) > ( ( a > a ) > ( ( c > c ) > c > c ) > ( a > c > c ) > a > c > c ) > ( ( b > b ) > ( ( d > d ) > d > d ) > ( b > d > d ) > b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J_001_062_I_062_Itf__a_Mtf__b_J_M_062_Itf__a_Mtf__b_J_J,type,
% 0.28/0.47 bNF_re796114495_b_a_b: ( ( a > a ) > ( b > b ) > $o ) > ( ( ( a > a ) > a > a ) > ( ( a > b ) > a > b ) > $o ) > ( ( a > a ) > ( a > a ) > a > a ) > ( ( b > b ) > ( a > b ) > a > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_Mtf__b_J_J,type,
% 0.28/0.47 bNF_re835672381_b_b_b: ( ( a > a ) > ( b > b ) > $o ) > ( ( ( a > a ) > a > a ) > ( ( b > b ) > b > b ) > $o ) > ( ( a > a ) > ( a > a ) > a > a ) > ( ( b > b ) > ( b > b ) > b > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__b_Mtf__a_J_M_062_Itf__b_Mtf__a_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_Mtf__b_J_J,type,
% 0.28/0.47 bNF_re774352699_b_b_b: ( ( a > a ) > ( b > b ) > $o ) > ( ( ( b > a ) > b > a ) > ( ( b > b ) > b > b ) > $o ) > ( ( a > a ) > ( b > a ) > b > a ) > ( ( b > b ) > ( b > b ) > b > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 bNF_re1761470250_b_d_d: ( ( a > a ) > ( b > b ) > $o ) > ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( a > a ) > a > c > c ) > ( ( b > b ) > b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J,type,
% 0.28/0.47 bNF_re1307884917_a_b_b: ( ( a > a ) > ( b > b ) > $o ) > ( ( a > a ) > ( b > b ) > $o ) > ( ( a > a ) > a > a ) > ( ( b > b ) > b > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001tf__a_001tf__b,type,
% 0.28/0.47 bNF_re2087760490_b_a_b: ( ( a > a ) > ( b > b ) > $o ) > ( a > b > $o ) > ( ( a > a ) > a ) > ( ( b > b ) > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_Eo_001_Eo,type,
% 0.28/0.47 bNF_re1906994858_a_o_o: ( ( a > b ) > ( a > a ) > $o ) > ( $o > $o > $o ) > ( ( a > b ) > $o ) > ( ( a > a ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__b_J_001_062_Itf__a_Mtf__b_J_001_Eo_001_Eo,type,
% 0.28/0.47 bNF_re1088547499_b_o_o: ( ( a > b ) > ( a > b ) > $o ) > ( $o > $o > $o ) > ( ( a > b ) > $o ) > ( ( a > b ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__c_J_001_062_Itf__b_Mtf__d_J_001_062_I_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_J_001_062_I_062_Itf__d_M_062_Itf__d_Mtf__d_J_J_M_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_J,type,
% 0.28/0.47 bNF_re1606289753_b_d_d: ( ( a > c ) > ( b > d ) > $o ) > ( ( ( c > c > c ) > ( c > c ) > a > c > c ) > ( ( d > d > d ) > ( d > d ) > b > d > d ) > $o ) > ( ( a > c ) > ( c > c > c ) > ( c > c ) > a > c > c ) > ( ( b > d ) > ( d > d > d ) > ( d > d ) > b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J,type,
% 0.28/0.47 bNF_re561231771_a_c_c: ( ( b > d > d ) > ( a > c > c ) > $o ) > ( ( ( b > b ) > b > d > d ) > ( ( a > a ) > a > c > c ) > $o ) > ( ( b > d > d ) > ( b > b ) > b > d > d ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J,type,
% 0.28/0.47 bNF_re742509149_b_d_d: ( ( b > d > d ) > ( b > d > d ) > $o ) > ( ( ( b > b ) > b > d > d ) > ( ( b > b ) > b > d > d ) > $o ) > ( ( b > d > d ) > ( b > b ) > b > d > d ) > ( ( b > d > d ) > ( b > b ) > b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J,type,
% 0.28/0.47 bNF_re1591514407_a_c_c: ( ( b > a ) > ( a > a ) > $o ) > ( ( b > c > c ) > ( a > c > c ) > $o ) > ( ( b > a ) > b > c > c ) > ( ( a > a ) > a > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__a_J_001_062_Itf__b_Mtf__a_J_001_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__c_Mtf__c_J_J,type,
% 0.28/0.47 bNF_re1565463783_b_c_c: ( ( b > a ) > ( b > a ) > $o ) > ( ( b > c > c ) > ( b > c > c ) > $o ) > ( ( b > a ) > b > c > c ) > ( ( b > a ) > b > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 bNF_re1661760168_b_d_d: ( ( b > a ) > ( b > b ) > $o ) > ( ( b > c > c ) > ( b > d > d ) > $o ) > ( ( b > a ) > b > c > c ) > ( ( b > b ) > b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__a_J_001_062_Itf__b_Mtf__b_J,type,
% 0.28/0.47 bNF_re668686835_a_b_b: ( ( b > a ) > ( b > b ) > $o ) > ( ( b > a ) > ( b > b ) > $o ) > ( ( b > a ) > b > a ) > ( ( b > b ) > b > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J,type,
% 0.28/0.47 bNF_re1794062813_d_d_b: ( ( b > b ) > ( ( d > d ) > b ) > $o ) > ( ( b > b ) > ( ( d > d ) > b ) > $o ) > ( ( b > b ) > b > b ) > ( ( ( d > d ) > b ) > ( d > d ) > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_Mtf__b_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J,type,
% 0.28/0.47 bNF_re1645058365_a_a_a: ( ( b > b ) > ( a > a ) > $o ) > ( ( ( b > b ) > b > b ) > ( ( a > a ) > a > a ) > $o ) > ( ( b > b ) > ( b > b ) > b > b ) > ( ( a > a ) > ( a > a ) > a > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J,type,
% 0.28/0.47 bNF_re1342462312_a_c_c: ( ( b > b ) > ( a > a ) > $o ) > ( ( b > d > d ) > ( a > c > c ) > $o ) > ( ( b > b ) > b > d > d ) > ( ( a > a ) > a > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__a_Mtf__a_J,type,
% 0.28/0.47 bNF_re310361461_b_a_a: ( ( b > b ) > ( a > a ) > $o ) > ( ( b > b ) > ( a > a ) > $o ) > ( ( b > b ) > b > b ) > ( ( a > a ) > a > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_M_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_Mtf__b_J_J,type,
% 0.28/0.47 bNF_re1138812345_b_b_b: ( ( b > b ) > ( b > b ) > $o ) > ( ( ( ( d > d ) > b ) > ( d > d ) > b ) > ( ( b > b ) > b > b ) > $o ) > ( ( b > b ) > ( ( d > d ) > b ) > ( d > d ) > b ) > ( ( b > b ) > ( b > b ) > b > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_Mtf__b_J_J_001_062_I_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_M_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_J,type,
% 0.28/0.47 bNF_re961930425_d_d_b: ( ( b > b ) > ( b > b ) > $o ) > ( ( ( b > b ) > b > b ) > ( ( ( d > d ) > b ) > ( d > d ) > b ) > $o ) > ( ( b > b ) > ( b > b ) > b > b ) > ( ( b > b ) > ( ( d > d ) > b ) > ( d > d ) > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_Mtf__b_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_Mtf__b_J_J,type,
% 0.28/0.47 bNF_re1222471293_b_b_b: ( ( b > b ) > ( b > b ) > $o ) > ( ( ( b > b ) > b > b ) > ( ( b > b ) > b > b ) > $o ) > ( ( b > b ) > ( b > b ) > b > b ) > ( ( b > b ) > ( b > b ) > b > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 bNF_re1412708073_b_d_d: ( ( b > b ) > ( b > b ) > $o ) > ( ( b > d > d ) > ( b > d > d ) > $o ) > ( ( b > b ) > b > d > d ) > ( ( b > b ) > b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J,type,
% 0.28/0.47 bNF_re2075418869_b_b_b: ( ( b > b ) > ( b > b ) > $o ) > ( ( b > b ) > ( b > b ) > $o ) > ( ( b > b ) > b > b ) > ( ( b > b ) > b > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_M_062_Itf__c_M_Eo_J_J_001_062_Itf__d_M_062_Itf__d_M_Eo_J_J_001_062_I_062_Itf__c_M_062_Itf__c_M_Eo_J_J_M_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_J_001_062_I_062_Itf__d_M_062_Itf__d_M_Eo_J_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J,type,
% 0.28/0.47 bNF_re921674337_d_d_o: ( ( c > c > $o ) > ( d > d > $o ) > $o ) > ( ( ( c > c > $o ) > ( c > c ) > $o ) > ( ( d > d > $o ) > ( d > d ) > $o ) > $o ) > ( ( c > c > $o ) > ( c > c > $o ) > ( c > c ) > $o ) > ( ( d > d > $o ) > ( d > d > $o ) > ( d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_M_062_Itf__c_M_Eo_J_J_001_062_Itf__d_M_062_Itf__d_M_Eo_J_J_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J,type,
% 0.28/0.47 bNF_re764708765_d_d_o: ( ( c > c > $o ) > ( d > d > $o ) > $o ) > ( ( ( c > c ) > ( c > c ) > $o ) > ( ( d > d ) > ( d > d ) > $o ) > $o ) > ( ( c > c > $o ) > ( c > c ) > ( c > c ) > $o ) > ( ( d > d > $o ) > ( d > d ) > ( d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_M_062_Itf__c_M_Eo_J_J_001_062_Itf__d_M_062_Itf__d_M_Eo_J_J_001_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_001_062_I_062_Itf__d_Mtf__d_J_M_Eo_J,type,
% 0.28/0.47 bNF_re27482973_d_d_o: ( ( c > c > $o ) > ( d > d > $o ) > $o ) > ( ( ( c > c ) > $o ) > ( ( d > d ) > $o ) > $o ) > ( ( c > c > $o ) > ( c > c ) > $o ) > ( ( d > d > $o ) > ( d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__d_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J,type,
% 0.28/0.47 bNF_re1507718559_b_d_d: ( ( c > c > c ) > ( d > d > d ) > $o ) > ( ( ( c > c ) > a > c > c ) > ( ( d > d ) > b > d > d ) > $o ) > ( ( c > c > c ) > ( c > c ) > a > c > c ) > ( ( d > d > d ) > ( d > d ) > b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__a_J_001_062_Itf__d_Mtf__b_J_001_062_I_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_M_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_I_062_Itf__d_Mtf__d_J_Mtf__d_J_M_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_Itf__d_Mtf__d_J_J_J,type,
% 0.28/0.47 bNF_re1164948833_d_d_d: ( ( c > a ) > ( d > b ) > $o ) > ( ( ( ( c > c ) > c ) > ( a > c > c ) > c > c ) > ( ( ( d > d ) > d ) > ( b > d > d ) > d > d ) > $o ) > ( ( c > a ) > ( ( c > c ) > c ) > ( a > c > c ) > c > c ) > ( ( d > b ) > ( ( d > d ) > d ) > ( b > d > d ) > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__a_J_001_062_Itf__d_Mtf__b_J_001_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__d_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 bNF_re1509948838_d_d_d: ( ( c > a ) > ( d > b ) > $o ) > ( ( c > c > c ) > ( d > d > d ) > $o ) > ( ( c > a ) > c > c > c ) > ( ( d > b ) > d > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_I_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_M_062_Itf__a_Mtf__c_J_J_001_062_I_062_I_062_Itf__d_Mtf__d_J_Mtf__d_J_M_062_Itf__b_Mtf__d_J_J,type,
% 0.28/0.47 bNF_re335372010_d_b_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( ( ( c > c ) > c ) > a > c ) > ( ( ( d > d ) > d ) > b > d ) > $o ) > ( ( c > c ) > ( ( c > c ) > c ) > a > c ) > ( ( d > d ) > ( ( d > d ) > d ) > b > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__c_Mtf__a_J_M_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_J_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_I_062_Itf__d_Mtf__b_J_M_062_Itf__d_M_062_Itf__d_Mtf__d_J_J_J_J,type,
% 0.28/0.47 bNF_re1709888353_d_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( ( a > c > c ) > ( c > a ) > c > c > c ) > ( ( b > d > d ) > ( d > b ) > d > d > d ) > $o ) > ( ( c > c ) > ( a > c > c ) > ( c > a ) > c > c > c ) > ( ( d > d ) > ( b > d > d ) > ( d > b ) > d > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__d_Mtf__d_J_J_J,type,
% 0.28/0.47 bNF_re888371717_d_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( ( c > c ) > ( c > c ) > c > c ) > ( ( d > d ) > ( d > d ) > d > d ) > $o ) > ( ( c > c ) > ( c > c ) > ( c > c ) > c > c ) > ( ( d > d ) > ( d > d ) > ( d > d ) > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 bNF_re764096061_d_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( ( c > c ) > c > c ) > ( ( d > d ) > d > d ) > $o ) > ( ( c > c ) > ( c > c ) > c > c ) > ( ( d > d ) > ( d > d ) > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_001_062_I_062_Itf__d_Mtf__d_J_M_Eo_J,type,
% 0.28/0.47 bNF_re781155241_d_d_o: ( ( c > c ) > ( d > d ) > $o ) > ( ( ( c > c ) > $o ) > ( ( d > d ) > $o ) > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( ( d > d ) > ( d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 bNF_re1145286186_b_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( c > c ) > a > c > c ) > ( ( d > d ) > b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_Itf__c_M_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_J_001_062_Itf__d_M_062_Itf__d_M_062_Itf__d_Mtf__d_J_J_J,type,
% 0.28/0.47 bNF_re1941803873_d_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( c > c > c > c ) > ( d > d > d > d ) > $o ) > ( ( c > c ) > c > c > c > c ) > ( ( d > d ) > d > d > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 bNF_re2078100341_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( ( c > c ) > c > c ) > ( ( d > d ) > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_Eo_001_Eo,type,
% 0.28/0.47 bNF_re857878889_d_o_o: ( ( c > c ) > ( d > d ) > $o ) > ( $o > $o > $o ) > ( ( c > c ) > $o ) > ( ( d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001tf__a_001tf__b,type,
% 0.28/0.47 bNF_re1795127658_d_a_b: ( ( c > c ) > ( d > d ) > $o ) > ( a > b > $o ) > ( ( c > c ) > a ) > ( ( d > d ) > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001tf__c_001tf__d,type,
% 0.28/0.47 bNF_re1303182826_d_c_d: ( ( c > c ) > ( d > d ) > $o ) > ( c > d > $o ) > ( ( c > c ) > c ) > ( ( d > d ) > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001tf__a_001_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_001_062_Itf__a_M_Eo_J,type,
% 0.28/0.47 bNF_re1450278895_o_a_o: ( ( c > c ) > a > $o ) > ( ( ( c > c ) > $o ) > ( a > $o ) > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( a > a > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001tf__a_001_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_001_062_Itf__b_M_Eo_J,type,
% 0.28/0.47 bNF_re2038641070_o_b_o: ( ( c > c ) > a > $o ) > ( ( ( c > c ) > $o ) > ( b > $o ) > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( a > b > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001tf__a_001_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_001_062_Itf__a_M_Eo_J,type,
% 0.28/0.47 bNF_re1306877487_o_a_o: ( ( c > c ) > a > $o ) > ( ( ( d > d ) > $o ) > ( a > $o ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( a > a > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001tf__a_001_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_001_062_Itf__b_M_Eo_J,type,
% 0.28/0.47 bNF_re1895239662_o_b_o: ( ( c > c ) > a > $o ) > ( ( ( d > d ) > $o ) > ( b > $o ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( a > b > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001tf__a_001_Eo_001_Eo,type,
% 0.28/0.47 bNF_re883196986_a_o_o: ( ( c > c ) > a > $o ) > ( $o > $o > $o ) > ( ( c > c ) > $o ) > ( a > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001tf__a_001tf__a_001tf__a,type,
% 0.28/0.47 bNF_re1424579386_a_a_a: ( ( c > c ) > a > $o ) > ( a > a > $o ) > ( ( c > c ) > a ) > ( a > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001tf__b_001_Eo_001_Eo,type,
% 0.28/0.47 bNF_re90976443_b_o_o: ( ( c > c ) > b > $o ) > ( $o > $o > $o ) > ( ( c > c ) > $o ) > ( b > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__d_Mtf__d_J_001tf__a_001_Eo_001_Eo,type,
% 0.28/0.47 bNF_re991543930_a_o_o: ( ( d > d ) > a > $o ) > ( $o > $o > $o ) > ( ( d > d ) > $o ) > ( a > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__d_Mtf__d_J_001tf__b_001_Eo_001_Eo,type,
% 0.28/0.47 bNF_re199323387_b_o_o: ( ( d > d ) > b > $o ) > ( $o > $o > $o ) > ( ( d > d ) > $o ) > ( b > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__d_Mtf__d_J_001tf__b_001tf__b_001tf__b,type,
% 0.28/0.47 bNF_re1703323451_b_b_b: ( ( d > d ) > b > $o ) > ( b > b > $o ) > ( ( d > d ) > b ) > ( b > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_Eo_001_Eo_001_062_Itf__a_M_062_Itf__a_Mtf__a_J_J_001_062_Itf__a_M_062_Itf__a_Mtf__a_J_J,type,
% 0.28/0.47 bNF_re1705765981_a_a_a: ( $o > $o > $o ) > ( ( a > a > a ) > ( a > a > a ) > $o ) > ( $o > a > a > a ) > ( $o > a > a > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_Eo_001_Eo_001_062_Itf__a_M_062_Itf__a_Mtf__a_J_J_001_062_Itf__b_M_062_Itf__b_Mtf__b_J_J,type,
% 0.28/0.47 bNF_re588060702_b_b_b: ( $o > $o > $o ) > ( ( a > a > a ) > ( b > b > b ) > $o ) > ( $o > a > a > a ) > ( $o > b > b > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001_Eo_001_Eo_001_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__d_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 bNF_re647211934_d_d_d: ( $o > $o > $o ) > ( ( c > c > c ) > ( d > d > d ) > $o ) > ( $o > c > c > c ) > ( $o > d > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__c_Mtf__c_J_J,type,
% 0.28/0.47 bNF_re1482032989_c_c_c: ( a > a > $o ) > ( ( ( a > c > c ) > c > c ) > ( ( a > c > c ) > c > c ) > $o ) > ( a > ( a > c > c ) > c > c ) > ( a > ( a > c > c ) > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 bNF_re1391160029_d_d_d: ( a > a > $o ) > ( ( ( a > c > c ) > c > c ) > ( ( a > d > d ) > d > d ) > $o ) > ( a > ( a > c > c ) > c > c ) > ( a > ( a > d > d ) > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_I_062_Itf__a_Mtf__a_J_Mtf__a_J_001_062_I_062_Itf__a_Mtf__a_J_Mtf__a_J,type,
% 0.28/0.47 bNF_re865741149_a_a_a: ( a > a > $o ) > ( ( ( a > a ) > a ) > ( ( a > a ) > a ) > $o ) > ( a > ( a > a ) > a ) > ( a > ( a > a ) > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_I_062_Itf__a_Mtf__a_J_Mtf__a_J_001_062_I_062_Itf__a_Mtf__b_J_Mtf__b_J,type,
% 0.28/0.47 bNF_re1093913501_a_b_b: ( a > a > $o ) > ( ( ( a > a ) > a ) > ( ( a > b ) > b ) > $o ) > ( a > ( a > a ) > a ) > ( a > ( a > b ) > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__a_M_Eo_J_001_062_Itf__a_M_Eo_J,type,
% 0.28/0.47 bNF_re1690123229_o_a_o: ( a > a > $o ) > ( ( a > $o ) > ( a > $o ) > $o ) > ( a > a > $o ) > ( a > a > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__a_M_Eo_J_001_062_Itf__b_M_Eo_J,type,
% 0.28/0.47 bNF_re131001756_o_b_o: ( a > a > $o ) > ( ( a > $o ) > ( b > $o ) > $o ) > ( a > a > $o ) > ( a > b > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J,type,
% 0.28/0.47 bNF_re911029929_a_a_a: ( a > a > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( a > a > a ) > ( a > a > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__b_M_Eo_J_001_062_Itf__a_M_Eo_J,type,
% 0.28/0.47 bNF_re1809376028_o_a_o: ( a > a > $o ) > ( ( b > $o ) > ( a > $o ) > $o ) > ( a > b > $o ) > ( a > a > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__b_M_Eo_J_001_062_Itf__b_M_Eo_J,type,
% 0.28/0.47 bNF_re250254555_o_b_o: ( a > a > $o ) > ( ( b > $o ) > ( b > $o ) > $o ) > ( a > b > $o ) > ( a > b > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 bNF_re1143700905_c_c_c: ( a > a > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > ( a > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 bNF_re1979731817_c_d_d: ( a > a > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( a > c > c ) > ( a > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__a,type,
% 0.28/0.47 bNF_re950444090_c_c_a: ( a > a > $o ) > ( ( c > c ) > a > $o ) > ( a > c > c ) > ( a > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__b,type,
% 0.28/0.47 bNF_re950444091_c_c_b: ( a > a > $o ) > ( ( c > c ) > b > $o ) > ( a > c > c ) > ( a > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__d_Mtf__d_J_001tf__a,type,
% 0.28/0.47 bNF_re2038021754_d_d_a: ( a > a > $o ) > ( ( d > d ) > a > $o ) > ( a > d > d ) > ( a > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__d_Mtf__d_J_001tf__b,type,
% 0.28/0.47 bNF_re2038021755_d_d_b: ( a > a > $o ) > ( ( d > d ) > b > $o ) > ( a > d > d ) > ( a > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_Eo_001_Eo,type,
% 0.28/0.47 bNF_rel_fun_a_a_o_o: ( a > a > $o ) > ( $o > $o > $o ) > ( a > $o ) > ( a > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001tf__a_001tf__a,type,
% 0.28/0.47 bNF_rel_fun_a_a_a_a: ( a > a > $o ) > ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001tf__a_001tf__b,type,
% 0.28/0.47 bNF_rel_fun_a_a_a_b: ( a > a > $o ) > ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001tf__b_001tf__a,type,
% 0.28/0.47 bNF_rel_fun_a_a_b_a: ( a > a > $o ) > ( b > a > $o ) > ( a > b ) > ( a > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001tf__b_001tf__b,type,
% 0.28/0.47 bNF_rel_fun_a_a_b_b: ( a > a > $o ) > ( b > b > $o ) > ( a > b ) > ( a > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 bNF_re1327926367_d_d_d: ( a > b > $o ) > ( ( ( a > c > c ) > c > c ) > ( ( b > d > d ) > d > d ) > $o ) > ( a > ( a > c > c ) > c > c ) > ( b > ( b > d > d ) > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_I_062_Itf__a_Mtf__a_J_Mtf__a_J_001_062_I_062_Itf__b_Mtf__b_J_Mtf__b_J,type,
% 0.28/0.47 bNF_re1730737055_b_b_b: ( a > b > $o ) > ( ( ( a > a ) > a ) > ( ( b > b ) > b ) > $o ) > ( a > ( a > a ) > a ) > ( b > ( b > b ) > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J,type,
% 0.28/0.47 bNF_re1573878111_b_d_d: ( a > b > $o ) > ( ( ( c > c ) > a > c > c ) > ( ( d > d ) > b > d > d ) > $o ) > ( a > ( c > c ) > a > c > c ) > ( b > ( d > d ) > b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_Itf__a_M_Eo_J_001_062_Itf__a_M_Eo_J,type,
% 0.28/0.47 bNF_re1977372894_o_a_o: ( a > b > $o ) > ( ( a > $o ) > ( a > $o ) > $o ) > ( a > a > $o ) > ( b > a > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_Itf__a_M_Eo_J_001_062_Itf__b_M_Eo_J,type,
% 0.28/0.47 bNF_re418251421_o_b_o: ( a > b > $o ) > ( ( a > $o ) > ( b > $o ) > $o ) > ( a > a > $o ) > ( b > b > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J,type,
% 0.28/0.47 bNF_re569932906_a_b_b: ( a > b > $o ) > ( ( a > a ) > ( b > b ) > $o ) > ( a > a > a ) > ( b > b > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 bNF_re2114056618_c_c_c: ( a > b > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > ( b > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 bNF_re802603882_c_d_d: ( a > b > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( a > c > c ) > ( b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_Eo_001_Eo,type,
% 0.28/0.47 bNF_rel_fun_a_b_o_o: ( a > b > $o ) > ( $o > $o > $o ) > ( a > $o ) > ( b > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001tf__a_001tf__a,type,
% 0.28/0.47 bNF_rel_fun_a_b_a_a: ( a > b > $o ) > ( a > a > $o ) > ( a > a ) > ( b > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001tf__a_001tf__b,type,
% 0.28/0.47 bNF_rel_fun_a_b_a_b: ( a > b > $o ) > ( a > b > $o ) > ( a > a ) > ( b > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001tf__c_001tf__d,type,
% 0.28/0.47 bNF_rel_fun_a_b_c_d: ( a > b > $o ) > ( c > d > $o ) > ( a > c ) > ( b > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__b_001tf__b,type,
% 0.28/0.47 bNF_re1573506119_d_b_b: ( b > ( d > d ) > $o ) > ( b > b > $o ) > ( b > b ) > ( ( d > d ) > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__a_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 bNF_re758172648_c_c_c: ( b > a > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( b > c > c ) > ( a > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__a_001_062_Itf__d_Mtf__d_J_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 bNF_re38477224_d_c_c: ( b > a > $o ) > ( ( d > d ) > ( c > c ) > $o ) > ( b > d > d ) > ( a > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__a_001_Eo_001_Eo,type,
% 0.28/0.47 bNF_rel_fun_b_a_o_o: ( b > a > $o ) > ( $o > $o > $o ) > ( b > $o ) > ( a > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__a_001tf__a_001tf__a,type,
% 0.28/0.47 bNF_rel_fun_b_a_a_a: ( b > a > $o ) > ( a > a > $o ) > ( b > a ) > ( a > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__a_001tf__b_001tf__a,type,
% 0.28/0.47 bNF_rel_fun_b_a_b_a: ( b > a > $o ) > ( b > a > $o ) > ( b > b ) > ( a > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__b_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 bNF_re1728528361_c_c_c: ( b > b > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( b > c > c ) > ( b > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__b_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 bNF_re417075625_c_d_d: ( b > b > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( b > c > c ) > ( b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__b_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 bNF_re1844863849_d_d_d: ( b > b > $o ) > ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > ( b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__b_001_Eo_001_Eo,type,
% 0.28/0.47 bNF_rel_fun_b_b_o_o: ( b > b > $o ) > ( $o > $o > $o ) > ( b > $o ) > ( b > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__b_001tf__a_001tf__a,type,
% 0.28/0.47 bNF_rel_fun_b_b_a_a: ( b > b > $o ) > ( a > a > $o ) > ( b > a ) > ( b > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__b_001tf__a_001tf__b,type,
% 0.28/0.47 bNF_rel_fun_b_b_a_b: ( b > b > $o ) > ( a > b > $o ) > ( b > a ) > ( b > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__b_001tf__b_001tf__b,type,
% 0.28/0.47 bNF_rel_fun_b_b_b_b: ( b > b > $o ) > ( b > b > $o ) > ( b > b ) > ( b > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__c_001tf__c_001tf__c_001tf__c,type,
% 0.28/0.47 bNF_rel_fun_c_c_c_c: ( c > c > $o ) > ( c > c > $o ) > ( c > c ) > ( c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__c_001tf__d_001_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__d_J,type,
% 0.28/0.47 bNF_re1313098655_d_d_d: ( c > d > $o ) > ( ( ( c > c ) > c ) > ( ( d > d ) > d ) > $o ) > ( c > ( c > c ) > c ) > ( d > ( d > d ) > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__c_001tf__d_001_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__d_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 bNF_re822780063_d_d_d: ( c > d > $o ) > ( ( c > c > c ) > ( d > d > d ) > $o ) > ( c > c > c > c ) > ( d > d > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__c_001tf__d_001_062_Itf__c_M_Eo_J_001_062_Itf__d_M_Eo_J,type,
% 0.28/0.47 bNF_re391428377_o_d_o: ( c > d > $o ) > ( ( c > $o ) > ( d > $o ) > $o ) > ( c > c > $o ) > ( d > d > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__c_001tf__d_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 bNF_re1972258794_c_d_d: ( c > d > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( c > c > c ) > ( d > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__c_001tf__d_001_Eo_001_Eo,type,
% 0.28/0.47 bNF_rel_fun_c_d_o_o: ( c > d > $o ) > ( $o > $o > $o ) > ( c > $o ) > ( d > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__c_001tf__d_001tf__a_001tf__b,type,
% 0.28/0.47 bNF_rel_fun_c_d_a_b: ( c > d > $o ) > ( a > b > $o ) > ( c > a ) > ( d > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__c_001tf__d_001tf__c_001tf__d,type,
% 0.28/0.47 bNF_rel_fun_c_d_c_d: ( c > d > $o ) > ( c > d > $o ) > ( c > c ) > ( d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_BNF__Def_Orel__fun_001tf__d_001tf__d_001tf__d_001tf__d,type,
% 0.28/0.47 bNF_rel_fun_d_d_d_d: ( d > d > $o ) > ( d > d > $o ) > ( d > d ) > ( d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Complete__Partial__Order_Omonotone_001tf__a_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 comple1702356924_a_c_c: ( a > a > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Complete__Partial__Order_Omonotone_001tf__b_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 comple61207421_b_d_d: ( b > b > $o ) > ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Complete__Partial__Order_Omonotone_001tf__c_001tf__c,type,
% 0.28/0.47 comple787379047ne_c_c: ( c > c > $o ) > ( c > c > $o ) > ( c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Complete__Partial__Order_Omonotone_001tf__d_001tf__d,type,
% 0.28/0.47 comple1615148455ne_d_d: ( d > d > $o ) > ( d > d > $o ) > ( d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_FSet_Offold_001tf__a_001tf__c,type,
% 0.28/0.47 ffold_a_c: ( a > c > c ) > c > fset_a > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_FSet_Offold_001tf__b_001tf__d,type,
% 0.28/0.47 ffold_b_d: ( b > d > d ) > d > fset_b > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Finite__Set_Ocomp__fun__commute_001tf__a_001tf__c,type,
% 0.28/0.47 finite746615251te_a_c: ( a > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Finite__Set_Ocomp__fun__commute_001tf__b_001tf__c,type,
% 0.28/0.47 finite1574384658te_b_c: ( b > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Finite__Set_Ocomp__fun__commute_001tf__b_001tf__d,type,
% 0.28/0.47 finite1574384659te_b_d: ( b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Finite__Set_Ocomp__fun__idem_001tf__a_001tf__c,type,
% 0.28/0.47 finite40241358em_a_c: ( a > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Finite__Set_Ocomp__fun__idem_001tf__b_001tf__c,type,
% 0.28/0.47 finite868010765em_b_c: ( b > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Finite__Set_Ocomp__fun__idem_001tf__b_001tf__d,type,
% 0.28/0.47 finite868010766em_b_d: ( b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Finite__Set_Ocomp__fun__idem__axioms_001tf__a_001tf__c,type,
% 0.28/0.47 finite19304177ms_a_c: ( a > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Finite__Set_Ocomp__fun__idem__axioms_001tf__b_001tf__d,type,
% 0.28/0.47 finite847073585ms_b_d: ( b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Finite__Set_Ofold__graph_001tf__a_001tf__a,type,
% 0.28/0.47 finite1511629766ph_a_a: ( a > a > a ) > a > set_a > a > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Finite__Set_Ofold__graph_001tf__a_001tf__b,type,
% 0.28/0.47 finite1511629767ph_a_b: ( a > b > b ) > b > set_a > b > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Finite__Set_Ofold__graph_001tf__a_001tf__c,type,
% 0.28/0.47 finite1511629768ph_a_c: ( a > c > c ) > c > set_a > c > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Finite__Set_Ofold__graph_001tf__a_001tf__d,type,
% 0.28/0.47 finite1511629769ph_a_d: ( a > d > d ) > d > set_a > d > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Finite__Set_Ofold__graph_001tf__b_001tf__a,type,
% 0.28/0.47 finite191915525ph_b_a: ( b > a > a ) > a > set_b > a > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Finite__Set_Ofold__graph_001tf__b_001tf__d,type,
% 0.28/0.47 finite191915528ph_b_d: ( b > d > d ) > d > set_b > d > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Finite__Set_Ofold__graph_001tf__c_001tf__a,type,
% 0.28/0.47 finite1019684932ph_c_a: ( c > a > a ) > a > set_c > a > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Finite__Set_Ofold__graph_001tf__c_001tf__b,type,
% 0.28/0.47 finite1019684933ph_c_b: ( c > b > b ) > b > set_c > b > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Finite__Set_Ofold__graph_001tf__c_001tf__c,type,
% 0.28/0.47 finite1019684934ph_c_c: ( c > c > c ) > c > set_c > c > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Finite__Set_Ofold__graph_001tf__c_001tf__d,type,
% 0.28/0.47 finite1019684935ph_c_d: ( c > d > d ) > d > set_c > d > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J,type,
% 0.28/0.47 comp_a_a_a_c_c_c_c_a: ( ( a > a ) > a > c > c ) > ( ( ( c > c ) > a ) > a > a ) > ( ( c > c ) > a ) > a > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001_062_Itf__a_Mtf__b_J_001_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__c_Mtf__c_J_Mtf__b_J,type,
% 0.28/0.47 comp_a_b_a_d_d_c_c_b: ( ( a > b ) > a > d > d ) > ( ( ( c > c ) > b ) > a > b ) > ( ( c > c ) > b ) > a > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001_062_Itf__b_Mtf__a_J_001_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__a_J,type,
% 0.28/0.47 comp_b_a_b_c_c_d_d_a: ( ( b > a ) > b > c > c ) > ( ( ( d > d ) > a ) > b > a ) > ( ( d > d ) > a ) > b > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J,type,
% 0.28/0.47 comp_b_b_b_d_d_d_d_b: ( ( b > b ) > b > d > d ) > ( ( ( d > d ) > b ) > b > b ) > ( ( d > d ) > b ) > b > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J_001tf__a,type,
% 0.28/0.47 comp_c_c_c_c_a: ( ( c > c ) > c > c ) > ( a > c > c ) > a > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001_062_Itf__c_Mtf__c_J_001tf__a_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 comp_c_c_a_c_c: ( ( c > c ) > a ) > ( ( c > c ) > c > c ) > ( c > c ) > a ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001_062_Itf__c_Mtf__c_J_001tf__a_001tf__a,type,
% 0.28/0.47 comp_c_c_a_a: ( ( c > c ) > a ) > ( a > c > c ) > a > a ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001_062_Itf__c_Mtf__c_J_001tf__b_001tf__a,type,
% 0.28/0.47 comp_c_c_b_a: ( ( c > c ) > b ) > ( a > c > c ) > a > b ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001_062_Itf__c_Mtf__c_J_001tf__b_001tf__b,type,
% 0.28/0.47 comp_c_c_b_b: ( ( c > c ) > b ) > ( b > c > c ) > b > b ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J_001tf__b,type,
% 0.28/0.47 comp_d_d_d_d_b: ( ( d > d ) > d > d ) > ( b > d > d ) > b > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001_062_Itf__d_Mtf__d_J_001tf__b_001tf__b,type,
% 0.28/0.47 comp_d_d_b_b: ( ( d > d ) > b ) > ( b > d > d ) > b > b ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__a,type,
% 0.28/0.47 comp_a_c_c_a: ( a > c > c ) > ( a > a ) > a > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__b,type,
% 0.28/0.47 comp_a_c_c_b: ( a > c > c ) > ( b > a ) > b > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001tf__a_001tf__a_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 comp_a_a_c_c: ( a > a ) > ( ( c > c ) > a ) > ( c > c ) > a ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001tf__a_001tf__a_001tf__a,type,
% 0.28/0.47 comp_a_a_a: ( a > a ) > ( a > a ) > a > a ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001tf__a_001tf__a_001tf__b,type,
% 0.28/0.47 comp_a_a_b: ( a > a ) > ( b > a ) > b > a ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001tf__a_001tf__b_001tf__a,type,
% 0.28/0.47 comp_a_b_a: ( a > b ) > ( a > a ) > a > b ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001tf__a_001tf__b_001tf__b,type,
% 0.28/0.47 comp_a_b_b: ( a > b ) > ( b > a ) > b > b ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001tf__b_001_062_Itf__c_Mtf__c_J_001tf__a,type,
% 0.28/0.47 comp_b_c_c_a: ( b > c > c ) > ( a > b ) > a > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001tf__b_001_062_Itf__c_Mtf__c_J_001tf__b,type,
% 0.28/0.47 comp_b_c_c_b: ( b > c > c ) > ( b > b ) > b > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__a,type,
% 0.28/0.47 comp_b_d_d_a: ( b > d > d ) > ( a > b ) > a > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__b,type,
% 0.28/0.47 comp_b_d_d_b: ( b > d > d ) > ( b > b ) > b > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001tf__b_001tf__a_001tf__a,type,
% 0.28/0.47 comp_b_a_a: ( b > a ) > ( a > b ) > a > a ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001tf__b_001tf__a_001tf__b,type,
% 0.28/0.47 comp_b_a_b: ( b > a ) > ( b > b ) > b > a ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001tf__b_001tf__b_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 comp_b_b_d_d: ( b > b ) > ( ( d > d ) > b ) > ( d > d ) > b ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001tf__b_001tf__b_001tf__a,type,
% 0.28/0.47 comp_b_b_a: ( b > b ) > ( a > b ) > a > b ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001tf__b_001tf__b_001tf__b,type,
% 0.28/0.47 comp_b_b_b: ( b > b ) > ( b > b ) > b > b ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001tf__c_001tf__c_001tf__c,type,
% 0.28/0.47 comp_c_c_c: ( c > c ) > ( c > c ) > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ocomp_001tf__d_001tf__d_001tf__d,type,
% 0.28/0.47 comp_d_d_d: ( d > d ) > ( d > d ) > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ofun__upd_001tf__a_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 fun_upd_a_c_c: ( a > c > c ) > a > ( c > c ) > a > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ofun__upd_001tf__b_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 fun_upd_b_d_d: ( b > d > d ) > b > ( d > d ) > b > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ofun__upd_001tf__c_001tf__c,type,
% 0.28/0.47 fun_upd_c_c: ( c > c ) > c > c > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Ofun__upd_001tf__d_001tf__d,type,
% 0.28/0.47 fun_upd_d_d: ( d > d ) > d > d > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J,type,
% 0.28/0.47 map_fu676564502_a_c_c: ( ( a > c > c ) > a > c > c ) > ( ( ( a > a ) > a > c > c ) > ( a > a ) > a > c > c ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > ( a > c > c ) > ( a > a ) > a > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J,type,
% 0.28/0.47 map_fu232832790_a_c_c: ( ( a > c > c ) > b > d > d ) > ( ( ( b > b ) > b > d > d ) > ( a > a ) > a > c > c ) > ( ( b > d > d ) > ( b > b ) > b > d > d ) > ( a > c > c ) > ( a > a ) > a > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J,type,
% 0.28/0.47 map_fu961723106_a_c_c: ( ( a > a ) > a > a ) > ( ( a > c > c ) > a > c > c ) > ( ( a > a ) > a > c > c ) > ( a > a ) > a > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J,type,
% 0.28/0.47 map_fu75729569_a_c_c: ( ( a > a ) > b > b ) > ( ( b > d > d ) > a > c > c ) > ( ( b > b ) > b > d > d ) > ( a > a ) > a > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J,type,
% 0.28/0.47 map_fu981964822_b_d_d: ( ( b > d > d ) > a > c > c ) > ( ( ( a > a ) > a > c > c ) > ( b > b ) > b > d > d ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > ( b > d > d ) > ( b > b ) > b > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J,type,
% 0.28/0.47 map_fu538233110_b_d_d: ( ( b > d > d ) > b > d > d ) > ( ( ( b > b ) > b > d > d ) > ( b > b ) > b > d > d ) > ( ( b > d > d ) > ( b > b ) > b > d > d ) > ( b > d > d ) > ( b > b ) > b > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 map_fu1569200227_b_d_d: ( ( b > b ) > a > a ) > ( ( a > c > c ) > b > d > d ) > ( ( a > a ) > a > c > c ) > ( b > b ) > b > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 map_fu683206690_b_d_d: ( ( b > b ) > b > b ) > ( ( b > d > d ) > b > d > d ) > ( ( b > b ) > b > d > d ) > ( b > b ) > b > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__a_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 map_fun_a_c_c_a_c_c: ( a > c > c ) > ( a > c > c ) > ( ( c > c ) > a ) > a > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__a_001tf__a,type,
% 0.28/0.47 map_fun_a_c_c_a_a: ( a > c > c ) > ( a > a ) > ( ( c > c ) > a ) > a > a ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__b_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 map_fun_a_c_c_b_d_d: ( a > c > c ) > ( b > d > d ) > ( ( c > c ) > b ) > a > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__b_001tf__b,type,
% 0.28/0.47 map_fun_a_c_c_b_b: ( a > c > c ) > ( b > b ) > ( ( c > c ) > b ) > a > b ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__c_001tf__c,type,
% 0.28/0.47 map_fun_a_c_c_c_c: ( a > c > c ) > ( c > c ) > ( ( c > c ) > c ) > a > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__a_001tf__a_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 map_fun_a_a_c_c_c_c: ( a > a ) > ( ( c > c ) > c > c ) > ( a > c > c ) > a > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__a_001tf__a_001tf__a_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 map_fun_a_a_a_c_c: ( a > a ) > ( a > c > c ) > ( a > a ) > a > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__a_001tf__a_001tf__a_001tf__a,type,
% 0.28/0.47 map_fun_a_a_a_a: ( a > a ) > ( a > a ) > ( a > a ) > a > a ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__a_001tf__a_001tf__b_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 map_fun_a_a_b_d_d: ( a > a ) > ( b > d > d ) > ( a > b ) > a > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__a_001tf__b_001_062_Itf__d_Mtf__d_J_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 map_fun_a_b_d_d_c_c: ( a > b ) > ( ( d > d ) > c > c ) > ( b > d > d ) > a > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__a_001tf__b_001tf__b_001tf__a,type,
% 0.28/0.47 map_fun_a_b_b_a: ( a > b ) > ( b > a ) > ( b > b ) > a > a ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__a_001tf__c_001tf__c_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 map_fun_a_c_c_c_c2: ( a > c ) > ( c > c > c ) > ( c > c ) > a > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__a_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 map_fun_b_d_d_a_c_c: ( b > d > d ) > ( a > c > c ) > ( ( d > d ) > a ) > b > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__a_001tf__a,type,
% 0.28/0.47 map_fun_b_d_d_a_a: ( b > d > d ) > ( a > a ) > ( ( d > d ) > a ) > b > a ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__b_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 map_fun_b_d_d_b_d_d: ( b > d > d ) > ( b > d > d ) > ( ( d > d ) > b ) > b > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__b_001tf__b,type,
% 0.28/0.47 map_fun_b_d_d_b_b: ( b > d > d ) > ( b > b ) > ( ( d > d ) > b ) > b > b ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__d_001tf__d,type,
% 0.28/0.47 map_fun_b_d_d_d_d: ( b > d > d ) > ( d > d ) > ( ( d > d ) > d ) > b > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__b_001tf__a_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 map_fun_b_a_c_c_d_d: ( b > a ) > ( ( c > c ) > d > d ) > ( a > c > c ) > b > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__b_001tf__a_001tf__a_001tf__b,type,
% 0.28/0.47 map_fun_b_a_a_b: ( b > a ) > ( a > b ) > ( a > a ) > b > b ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__b_001tf__b_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 map_fun_b_b_d_d_d_d: ( b > b ) > ( ( d > d ) > d > d ) > ( b > d > d ) > b > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__b_001tf__b_001tf__a_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 map_fun_b_b_a_c_c: ( b > b ) > ( a > c > c ) > ( b > a ) > b > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__b_001tf__b_001tf__b_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 map_fun_b_b_b_d_d: ( b > b ) > ( b > d > d ) > ( b > b ) > b > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__b_001tf__b_001tf__b_001tf__b,type,
% 0.28/0.47 map_fun_b_b_b_b: ( b > b ) > ( b > b ) > ( b > b ) > b > b ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__b_001tf__d_001tf__d_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 map_fun_b_d_d_d_d2: ( b > d ) > ( d > d > d ) > ( d > d ) > b > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__c_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__c,type,
% 0.28/0.47 map_fun_c_a_c_c_c: ( c > a ) > ( ( c > c ) > c ) > ( a > c > c ) > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__c_001tf__c_001tf__a_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 map_fun_c_c_a_c_c: ( c > c ) > ( a > c > c ) > ( c > a ) > c > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__c_001tf__c_001tf__c_001tf__c,type,
% 0.28/0.47 map_fun_c_c_c_c: ( c > c ) > ( c > c ) > ( c > c ) > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__d_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__d,type,
% 0.28/0.47 map_fun_d_b_d_d_d: ( d > b ) > ( ( d > d ) > d ) > ( b > d > d ) > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__d_001tf__d_001tf__b_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 map_fun_d_d_b_d_d: ( d > d ) > ( b > d > d ) > ( d > b ) > d > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Fun_Omap__fun_001tf__d_001tf__d_001tf__d_001tf__d,type,
% 0.28/0.47 map_fun_d_d_d_d: ( d > d ) > ( d > d ) > ( d > d ) > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Groups_Oplus__class_Oplus_001t__Multiset__Omultiset_Itf__a_J,type,
% 0.28/0.47 plus_plus_multiset_a: multiset_a > multiset_a > multiset_a ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Groups_Oplus__class_Oplus_001t__Multiset__Omultiset_Itf__b_J,type,
% 0.28/0.47 plus_plus_multiset_b: multiset_b > multiset_b > multiset_b ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_If_001tf__a,type,
% 0.28/0.47 if_a: $o > a > a > a ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_If_001tf__b,type,
% 0.28/0.47 if_b: $o > b > b > b ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_If_001tf__c,type,
% 0.28/0.47 if_c: $o > c > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_If_001tf__d,type,
% 0.28/0.47 if_d: $o > d > d > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Multiset_Ofold__mset_001tf__a_001tf__c,type,
% 0.28/0.47 fold_mset_a_c: ( a > c > c ) > c > multiset_a > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Multiset_Ofold__mset_001tf__b_001tf__d,type,
% 0.28/0.47 fold_mset_b_d: ( b > d > d ) > d > multiset_b > d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_Eo_J_J,type,
% 0.28/0.47 ord_le469275661_d_d_o: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J,type,
% 0.28/0.47 ord_le1338099484_d_d_o: ( ( c > c ) > ( d > d ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_Itf__a_M_062_Itf__b_M_Eo_J_J,type,
% 0.28/0.47 ord_less_eq_a_b_o: ( a > b > $o ) > ( a > b > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_Itf__c_M_062_Itf__d_M_Eo_J_J,type,
% 0.28/0.47 ord_less_eq_c_d_o: ( c > d > $o ) > ( c > d > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Partial__Function_Ofun__ord_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J_001tf__a,type,
% 0.28/0.47 partia186872226_c_c_a: ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > ( a > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Partial__Function_Ofun__ord_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J_001tf__b,type,
% 0.28/0.47 partia1709452835_d_d_b: ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > ( b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Partial__Function_Ofun__ord_001tf__c_001tf__c_001tf__c,type,
% 0.28/0.47 partia1494029680_c_c_c: ( c > c > $o ) > ( c > c ) > ( c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Partial__Function_Ofun__ord_001tf__d_001tf__d_001tf__d,type,
% 0.28/0.47 partia1041982257_d_d_d: ( d > d > $o ) > ( d > d ) > ( d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Quotient_OQuotient3_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 quotient3_c_c_c_c: ( ( c > c ) > ( c > c ) > $o ) > ( ( c > c ) > c > c ) > ( ( c > c ) > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Quotient_OQuotient3_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 quotient3_c_c_d_d: ( ( c > c ) > ( c > c ) > $o ) > ( ( c > c ) > d > d ) > ( ( d > d ) > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Quotient_OQuotient3_001_062_Itf__c_Mtf__c_J_001tf__a,type,
% 0.28/0.47 quotient3_c_c_a: ( ( c > c ) > ( c > c ) > $o ) > ( ( c > c ) > a ) > ( a > c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Quotient_OQuotient3_001_062_Itf__d_Mtf__d_J_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 quotient3_d_d_c_c: ( ( d > d ) > ( d > d ) > $o ) > ( ( d > d ) > c > c ) > ( ( c > c ) > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Quotient_OQuotient3_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 quotient3_d_d_d_d: ( ( d > d ) > ( d > d ) > $o ) > ( ( d > d ) > d > d ) > ( ( d > d ) > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Quotient_OQuotient3_001_062_Itf__d_Mtf__d_J_001tf__b,type,
% 0.28/0.47 quotient3_d_d_b: ( ( d > d ) > ( d > d ) > $o ) > ( ( d > d ) > b ) > ( b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Quotient_OQuotient3_001tf__a_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 quotient3_a_c_c: ( a > a > $o ) > ( a > c > c ) > ( ( c > c ) > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Quotient_OQuotient3_001tf__a_001tf__a,type,
% 0.28/0.47 quotient3_a_a: ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Quotient_OQuotient3_001tf__a_001tf__b,type,
% 0.28/0.47 quotient3_a_b: ( a > a > $o ) > ( a > b ) > ( b > a ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Quotient_OQuotient3_001tf__b_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 quotient3_b_d_d: ( b > b > $o ) > ( b > d > d ) > ( ( d > d ) > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Quotient_OQuotient3_001tf__b_001tf__a,type,
% 0.28/0.47 quotient3_b_a: ( b > b > $o ) > ( b > a ) > ( a > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Quotient_OQuotient3_001tf__b_001tf__b,type,
% 0.28/0.47 quotient3_b_b: ( b > b > $o ) > ( b > b ) > ( b > b ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Relation_Orelcompp_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 relcom1813708708_b_d_d: ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > c > c ) > ( b > d > d ) > $o ) > ( a > c > c ) > ( b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Relation_Orelcompp_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 relcom1887247779_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( b > d > d ) > ( b > d > d ) > $o ) > ( a > c > c ) > ( b > d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Relation_Orelcompp_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J,type,
% 0.28/0.47 relcompp_c_c_c_c_c_c: ( ( c > c ) > ( c > c ) > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( c > c ) > ( c > c ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Relation_Orelcompp_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 relcompp_c_c_c_c_d_d: ( ( c > c ) > ( c > c ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( c > c ) > ( d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Relation_Orelcompp_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 relcompp_c_c_d_d_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( d > d ) > ( d > d ) > $o ) > ( c > c ) > ( d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Relation_Orelcompp_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 relcompp_d_d_d_d_d_d: ( ( d > d ) > ( d > d ) > $o ) > ( ( d > d ) > ( d > d ) > $o ) > ( d > d ) > ( d > d ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Relation_Orelcompp_001tf__a_001tf__a_001tf__a,type,
% 0.28/0.47 relcompp_a_a_a: ( a > a > $o ) > ( a > a > $o ) > a > a > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Relation_Orelcompp_001tf__a_001tf__a_001tf__b,type,
% 0.28/0.47 relcompp_a_a_b: ( a > a > $o ) > ( a > b > $o ) > a > b > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Relation_Orelcompp_001tf__a_001tf__b_001tf__b,type,
% 0.28/0.47 relcompp_a_b_b: ( a > b > $o ) > ( b > b > $o ) > a > b > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Relation_Orelcompp_001tf__b_001tf__b_001tf__b,type,
% 0.28/0.47 relcompp_b_b_b: ( b > b > $o ) > ( b > b > $o ) > b > b > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Relation_Orelcompp_001tf__c_001tf__c_001tf__d,type,
% 0.28/0.47 relcompp_c_c_d: ( c > c > $o ) > ( c > d > $o ) > c > d > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Relation_Orelcompp_001tf__c_001tf__d_001tf__d,type,
% 0.28/0.47 relcompp_c_d_d: ( c > d > $o ) > ( d > d > $o ) > c > d > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Set_OCollect_001tf__a,type,
% 0.28/0.47 collect_a: ( a > $o ) > set_a ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Set_OCollect_001tf__b,type,
% 0.28/0.47 collect_b: ( b > $o ) > set_b ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Set_OCollect_001tf__c,type,
% 0.28/0.47 collect_c: ( c > $o ) > set_c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Set_OCollect_001tf__d,type,
% 0.28/0.47 collect_d: ( d > $o ) > set_d ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Obi__total_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 bi_total_a_c_c_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Obi__total_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 bi_total_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Obi__total_001tf__a_001tf__b,type,
% 0.28/0.47 bi_total_a_b: ( a > b > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Obi__total_001tf__c_001tf__d,type,
% 0.28/0.47 bi_total_c_d: ( c > d > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Obi__unique_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 bi_uni844770768_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Obi__unique_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 bi_unique_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Obi__unique_001tf__a_001tf__b,type,
% 0.28/0.47 bi_unique_a_b: ( a > b > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Obi__unique_001tf__c_001tf__d,type,
% 0.28/0.47 bi_unique_c_d: ( c > d > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oleft__total_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 left_t1993719015_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oleft__total_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 left_total_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oleft__total_001tf__a_001tf__b,type,
% 0.28/0.47 left_total_a_b: ( a > b > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oleft__total_001tf__b_001tf__b,type,
% 0.28/0.47 left_total_b_b: ( b > b > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oleft__total_001tf__c_001tf__d,type,
% 0.28/0.47 left_total_c_d: ( c > d > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oleft__total_001tf__d_001tf__d,type,
% 0.28/0.47 left_total_d_d: ( d > d > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oleft__unique_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 left_u1654071760_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oleft__unique_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 left_unique_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oleft__unique_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 left_unique_d_d_d_d: ( ( d > d ) > ( d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oleft__unique_001tf__a_001tf__a,type,
% 0.28/0.47 left_unique_a_a: ( a > a > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oleft__unique_001tf__a_001tf__b,type,
% 0.28/0.47 left_unique_a_b: ( a > b > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oleft__unique_001tf__c_001tf__c,type,
% 0.28/0.47 left_unique_c_c: ( c > c > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oleft__unique_001tf__c_001tf__d,type,
% 0.28/0.47 left_unique_c_d: ( c > d > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oleft__unique_001tf__d_001tf__d,type,
% 0.28/0.47 left_unique_d_d: ( d > d > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Orev__implies,type,
% 0.28/0.47 rev_implies: $o > $o > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oright__total_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 right_386984928_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oright__total_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 right_total_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oright__total_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 right_total_d_d_d_d: ( ( d > d ) > ( d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oright__total_001tf__a_001tf__a,type,
% 0.28/0.47 right_total_a_a: ( a > a > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oright__total_001tf__a_001tf__b,type,
% 0.28/0.47 right_total_a_b: ( a > b > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oright__total_001tf__c_001tf__c,type,
% 0.28/0.47 right_total_c_c: ( c > c > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oright__total_001tf__c_001tf__d,type,
% 0.28/0.47 right_total_c_d: ( c > d > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oright__total_001tf__d_001tf__d,type,
% 0.28/0.47 right_total_d_d: ( d > d > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oright__unique_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 0.28/0.47 right_2142487_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oright__unique_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 0.28/0.47 right_unique_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oright__unique_001tf__a_001tf__b,type,
% 0.28/0.47 right_unique_a_b: ( a > b > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oright__unique_001tf__b_001tf__b,type,
% 0.28/0.47 right_unique_b_b: ( b > b > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oright__unique_001tf__c_001tf__d,type,
% 0.28/0.47 right_unique_c_d: ( c > d > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_Transfer_Oright__unique_001tf__d_001tf__d,type,
% 0.28/0.47 right_unique_d_d: ( d > d > $o ) > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_member_001tf__a,type,
% 0.28/0.47 member_a: a > set_a > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_member_001tf__b,type,
% 0.28/0.47 member_b: b > set_b > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_member_001tf__c,type,
% 0.28/0.47 member_c: c > set_c > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_c_member_001tf__d,type,
% 0.28/0.47 member_d: d > set_d > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_v_A,type,
% 0.28/0.47 a2: a > b > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_v_B,type,
% 0.28/0.47 b2: c > d > $o ).
% 0.28/0.47
% 0.28/0.47 thf(sy_v_f1,type,
% 0.28/0.47 f1: a > c > c ).
% 0.28/0.47
% 0.28/0.47 thf(sy_v_f2,type,
% 0.28/0.47 f2: b > d > d ).
% 0.28/0.47
% 0.28/0.47 % Relevant facts (354)
% 0.28/0.47 thf(fact_0_assms_I2_J,axiom,
% 0.28/0.47 finite746615251te_a_c @ f1 ).
% 0.28/0.47
% 0.28/0.47 % assms(2)
% 0.28/0.47 thf(fact_1_comp__fun__commute_Ofun__left__comm,axiom,
% 0.28/0.47 ! [F: a > c > c,Y: a,X: a,Z: c] :
% 0.28/0.47 ( ( finite746615251te_a_c @ F )
% 0.28/0.47 => ( ( F @ Y @ ( F @ X @ Z ) )
% 0.28/0.47 = ( F @ X @ ( F @ Y @ Z ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_commute.fun_left_comm
% 0.28/0.47 thf(fact_2_comp__fun__commute_Ofun__left__comm,axiom,
% 0.28/0.47 ! [F: b > d > d,Y: b,X: b,Z: d] :
% 0.28/0.47 ( ( finite1574384659te_b_d @ F )
% 0.28/0.47 => ( ( F @ Y @ ( F @ X @ Z ) )
% 0.28/0.47 = ( F @ X @ ( F @ Y @ Z ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_commute.fun_left_comm
% 0.28/0.47 thf(fact_3_assms_I3_J,axiom,
% 0.28/0.47 finite1574384659te_b_d @ f2 ).
% 0.28/0.47
% 0.28/0.47 % assms(3)
% 0.28/0.47 thf(fact_4__C12_C,axiom,
% 0.28/0.47 bNF_re802603882_c_d_d @ a2 @ ( bNF_rel_fun_c_d_c_d @ b2 @ b2 ) @ f1 @ f2 ).
% 0.28/0.47
% 0.28/0.47 % "12"
% 0.28/0.47 thf(fact_5_comp__fun__commute_Ofold__mset__fusion,axiom,
% 0.28/0.47 ! [F: a > c > c,G: a > c > c,H: c > c,W: c,A: multiset_a] :
% 0.28/0.47 ( ( finite746615251te_a_c @ F )
% 0.28/0.47 => ( ( finite746615251te_a_c @ G )
% 0.28/0.47 => ( ! [X2: a,Y2: c] :
% 0.28/0.47 ( ( H @ ( G @ X2 @ Y2 ) )
% 0.28/0.47 = ( F @ X2 @ ( H @ Y2 ) ) )
% 0.28/0.47 => ( ( H @ ( fold_mset_a_c @ G @ W @ A ) )
% 0.28/0.47 = ( fold_mset_a_c @ F @ ( H @ W ) @ A ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_commute.fold_mset_fusion
% 0.28/0.47 thf(fact_6_comp__fun__commute_Ofold__mset__fusion,axiom,
% 0.28/0.47 ! [F: b > d > d,G: b > d > d,H: d > d,W: d,A: multiset_b] :
% 0.28/0.47 ( ( finite1574384659te_b_d @ F )
% 0.28/0.47 => ( ( finite1574384659te_b_d @ G )
% 0.28/0.47 => ( ! [X2: b,Y2: d] :
% 0.28/0.47 ( ( H @ ( G @ X2 @ Y2 ) )
% 0.28/0.47 = ( F @ X2 @ ( H @ Y2 ) ) )
% 0.28/0.47 => ( ( H @ ( fold_mset_b_d @ G @ W @ A ) )
% 0.28/0.47 = ( fold_mset_b_d @ F @ ( H @ W ) @ A ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_commute.fold_mset_fusion
% 0.28/0.47 thf(fact_7_comp__fun__commute_Ofold__mset__fun__left__comm,axiom,
% 0.28/0.47 ! [F: a > c > c,X: a,S: c,M: multiset_a] :
% 0.28/0.47 ( ( finite746615251te_a_c @ F )
% 0.28/0.47 => ( ( F @ X @ ( fold_mset_a_c @ F @ S @ M ) )
% 0.28/0.47 = ( fold_mset_a_c @ F @ ( F @ X @ S ) @ M ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_commute.fold_mset_fun_left_comm
% 0.28/0.47 thf(fact_8_comp__fun__commute_Ofold__mset__fun__left__comm,axiom,
% 0.28/0.47 ! [F: b > d > d,X: b,S: d,M: multiset_b] :
% 0.28/0.47 ( ( finite1574384659te_b_d @ F )
% 0.28/0.47 => ( ( F @ X @ ( fold_mset_b_d @ F @ S @ M ) )
% 0.28/0.47 = ( fold_mset_b_d @ F @ ( F @ X @ S ) @ M ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_commute.fold_mset_fun_left_comm
% 0.28/0.47 thf(fact_9_comp__fun__idem_Oaxioms_I1_J,axiom,
% 0.28/0.47 ! [F: a > c > c] :
% 0.28/0.47 ( ( finite40241358em_a_c @ F )
% 0.28/0.47 => ( finite746615251te_a_c @ F ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_idem.axioms(1)
% 0.28/0.47 thf(fact_10_comp__fun__idem_Oaxioms_I1_J,axiom,
% 0.28/0.47 ! [F: b > d > d] :
% 0.28/0.47 ( ( finite868010766em_b_d @ F )
% 0.28/0.47 => ( finite1574384659te_b_d @ F ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_idem.axioms(1)
% 0.28/0.47 thf(fact_11_comp__fun__commute_Ofold__graph__determ,axiom,
% 0.28/0.47 ! [F: a > c > c,Z: c,A: set_a,X: c,Y: c] :
% 0.28/0.47 ( ( finite746615251te_a_c @ F )
% 0.28/0.47 => ( ( finite1511629768ph_a_c @ F @ Z @ A @ X )
% 0.28/0.47 => ( ( finite1511629768ph_a_c @ F @ Z @ A @ Y )
% 0.28/0.47 => ( Y = X ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_commute.fold_graph_determ
% 0.28/0.47 thf(fact_12_comp__fun__commute_Ofold__graph__determ,axiom,
% 0.28/0.47 ! [F: b > d > d,Z: d,A: set_b,X: d,Y: d] :
% 0.28/0.47 ( ( finite1574384659te_b_d @ F )
% 0.28/0.47 => ( ( finite191915528ph_b_d @ F @ Z @ A @ X )
% 0.28/0.47 => ( ( finite191915528ph_b_d @ F @ Z @ A @ Y )
% 0.28/0.47 => ( Y = X ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_commute.fold_graph_determ
% 0.28/0.47 thf(fact_13_comp__fun__commute_Offold__fun__left__comm,axiom,
% 0.28/0.47 ! [F: a > c > c,X: a,Z: c,A: fset_a] :
% 0.28/0.47 ( ( finite746615251te_a_c @ F )
% 0.28/0.47 => ( ( F @ X @ ( ffold_a_c @ F @ Z @ A ) )
% 0.28/0.47 = ( ffold_a_c @ F @ ( F @ X @ Z ) @ A ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_commute.ffold_fun_left_comm
% 0.28/0.47 thf(fact_14_comp__fun__commute_Offold__fun__left__comm,axiom,
% 0.28/0.47 ! [F: b > d > d,X: b,Z: d,A: fset_b] :
% 0.28/0.47 ( ( finite1574384659te_b_d @ F )
% 0.28/0.47 => ( ( F @ X @ ( ffold_b_d @ F @ Z @ A ) )
% 0.28/0.47 = ( ffold_b_d @ F @ ( F @ X @ Z ) @ A ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_commute.ffold_fun_left_comm
% 0.28/0.47 thf(fact_15_comp__fun__commute_Ocomp__comp__fun__commute,axiom,
% 0.28/0.47 ! [F: a > c > c,G: b > a] :
% 0.28/0.47 ( ( finite746615251te_a_c @ F )
% 0.28/0.47 => ( finite1574384658te_b_c @ ( comp_a_c_c_b @ F @ G ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_commute.comp_comp_fun_commute
% 0.28/0.47 thf(fact_16_comp__fun__commute_Ocomp__comp__fun__commute,axiom,
% 0.28/0.47 ! [F: a > c > c,G: a > a] :
% 0.28/0.47 ( ( finite746615251te_a_c @ F )
% 0.28/0.47 => ( finite746615251te_a_c @ ( comp_a_c_c_a @ F @ G ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_commute.comp_comp_fun_commute
% 0.28/0.47 thf(fact_17_comp__fun__commute_Ocomp__comp__fun__commute,axiom,
% 0.28/0.47 ! [F: b > d > d,G: b > b] :
% 0.28/0.47 ( ( finite1574384659te_b_d @ F )
% 0.28/0.47 => ( finite1574384659te_b_d @ ( comp_b_d_d_b @ F @ G ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_commute.comp_comp_fun_commute
% 0.28/0.47 thf(fact_18_comp__fun__commute__def,axiom,
% 0.28/0.47 ( finite746615251te_a_c
% 0.28/0.47 = ( ^ [F2: a > c > c] :
% 0.28/0.47 ! [Y3: a,X3: a] :
% 0.28/0.47 ( ( comp_c_c_c @ ( F2 @ Y3 ) @ ( F2 @ X3 ) )
% 0.28/0.47 = ( comp_c_c_c @ ( F2 @ X3 ) @ ( F2 @ Y3 ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_commute_def
% 0.28/0.47 thf(fact_19_comp__fun__commute__def,axiom,
% 0.28/0.47 ( finite1574384659te_b_d
% 0.28/0.47 = ( ^ [F2: b > d > d] :
% 0.28/0.47 ! [Y3: b,X3: b] :
% 0.28/0.47 ( ( comp_d_d_d @ ( F2 @ Y3 ) @ ( F2 @ X3 ) )
% 0.28/0.47 = ( comp_d_d_d @ ( F2 @ X3 ) @ ( F2 @ Y3 ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_commute_def
% 0.28/0.47 thf(fact_20_comp__fun__commute_Ointro,axiom,
% 0.28/0.47 ! [F: a > c > c] :
% 0.28/0.47 ( ! [Y2: a,X2: a] :
% 0.28/0.47 ( ( comp_c_c_c @ ( F @ Y2 ) @ ( F @ X2 ) )
% 0.28/0.47 = ( comp_c_c_c @ ( F @ X2 ) @ ( F @ Y2 ) ) )
% 0.28/0.47 => ( finite746615251te_a_c @ F ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_commute.intro
% 0.28/0.47 thf(fact_21_comp__fun__commute_Ointro,axiom,
% 0.28/0.47 ! [F: b > d > d] :
% 0.28/0.47 ( ! [Y2: b,X2: b] :
% 0.28/0.47 ( ( comp_d_d_d @ ( F @ Y2 ) @ ( F @ X2 ) )
% 0.28/0.47 = ( comp_d_d_d @ ( F @ X2 ) @ ( F @ Y2 ) ) )
% 0.28/0.47 => ( finite1574384659te_b_d @ F ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_commute.intro
% 0.28/0.47 thf(fact_22_comp__fun__commute_Ocomp__fun__commute,axiom,
% 0.28/0.47 ! [F: a > c > c,Y: a,X: a] :
% 0.28/0.47 ( ( finite746615251te_a_c @ F )
% 0.28/0.47 => ( ( comp_c_c_c @ ( F @ Y ) @ ( F @ X ) )
% 0.28/0.47 = ( comp_c_c_c @ ( F @ X ) @ ( F @ Y ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_commute.comp_fun_commute
% 0.28/0.47 thf(fact_23_comp__fun__commute_Ocomp__fun__commute,axiom,
% 0.28/0.47 ! [F: b > d > d,Y: b,X: b] :
% 0.28/0.47 ( ( finite1574384659te_b_d @ F )
% 0.28/0.47 => ( ( comp_d_d_d @ ( F @ Y ) @ ( F @ X ) )
% 0.28/0.47 = ( comp_d_d_d @ ( F @ X ) @ ( F @ Y ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_commute.comp_fun_commute
% 0.28/0.47 thf(fact_24_fold__graph__closed__eq,axiom,
% 0.28/0.47 ! [A: set_b,B: set_d,F: b > d > d,G: b > d > d,Z: d] :
% 0.28/0.47 ( ! [A2: b,B2: d] :
% 0.28/0.47 ( ( member_b @ A2 @ A )
% 0.28/0.47 => ( ( member_d @ B2 @ B )
% 0.28/0.47 => ( ( F @ A2 @ B2 )
% 0.28/0.47 = ( G @ A2 @ B2 ) ) ) )
% 0.28/0.47 => ( ! [A2: b,B2: d] :
% 0.28/0.47 ( ( member_b @ A2 @ A )
% 0.28/0.47 => ( ( member_d @ B2 @ B )
% 0.28/0.47 => ( member_d @ ( G @ A2 @ B2 ) @ B ) ) )
% 0.28/0.47 => ( ( member_d @ Z @ B )
% 0.28/0.47 => ( ( finite191915528ph_b_d @ F @ Z @ A )
% 0.28/0.47 = ( finite191915528ph_b_d @ G @ Z @ A ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fold_graph_closed_eq
% 0.28/0.47 thf(fact_25_fold__graph__closed__eq,axiom,
% 0.28/0.47 ! [A: set_a,B: set_c,F: a > c > c,G: a > c > c,Z: c] :
% 0.28/0.47 ( ! [A2: a,B2: c] :
% 0.28/0.47 ( ( member_a @ A2 @ A )
% 0.28/0.47 => ( ( member_c @ B2 @ B )
% 0.28/0.47 => ( ( F @ A2 @ B2 )
% 0.28/0.47 = ( G @ A2 @ B2 ) ) ) )
% 0.28/0.47 => ( ! [A2: a,B2: c] :
% 0.28/0.47 ( ( member_a @ A2 @ A )
% 0.28/0.47 => ( ( member_c @ B2 @ B )
% 0.28/0.47 => ( member_c @ ( G @ A2 @ B2 ) @ B ) ) )
% 0.28/0.47 => ( ( member_c @ Z @ B )
% 0.28/0.47 => ( ( finite1511629768ph_a_c @ F @ Z @ A )
% 0.28/0.47 = ( finite1511629768ph_a_c @ G @ Z @ A ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fold_graph_closed_eq
% 0.28/0.47 thf(fact_26_fold__graph__closed__eq,axiom,
% 0.28/0.47 ! [A: set_a,B: set_a,F: a > a > a,G: a > a > a,Z: a] :
% 0.28/0.47 ( ! [A2: a,B2: a] :
% 0.28/0.47 ( ( member_a @ A2 @ A )
% 0.28/0.47 => ( ( member_a @ B2 @ B )
% 0.28/0.47 => ( ( F @ A2 @ B2 )
% 0.28/0.47 = ( G @ A2 @ B2 ) ) ) )
% 0.28/0.47 => ( ! [A2: a,B2: a] :
% 0.28/0.47 ( ( member_a @ A2 @ A )
% 0.28/0.47 => ( ( member_a @ B2 @ B )
% 0.28/0.47 => ( member_a @ ( G @ A2 @ B2 ) @ B ) ) )
% 0.28/0.47 => ( ( member_a @ Z @ B )
% 0.28/0.47 => ( ( finite1511629766ph_a_a @ F @ Z @ A )
% 0.28/0.47 = ( finite1511629766ph_a_a @ G @ Z @ A ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fold_graph_closed_eq
% 0.28/0.47 thf(fact_27_fold__graph__closed__eq,axiom,
% 0.28/0.47 ! [A: set_a,B: set_b,F: a > b > b,G: a > b > b,Z: b] :
% 0.28/0.47 ( ! [A2: a,B2: b] :
% 0.28/0.47 ( ( member_a @ A2 @ A )
% 0.28/0.47 => ( ( member_b @ B2 @ B )
% 0.28/0.47 => ( ( F @ A2 @ B2 )
% 0.28/0.47 = ( G @ A2 @ B2 ) ) ) )
% 0.28/0.47 => ( ! [A2: a,B2: b] :
% 0.28/0.47 ( ( member_a @ A2 @ A )
% 0.28/0.47 => ( ( member_b @ B2 @ B )
% 0.28/0.47 => ( member_b @ ( G @ A2 @ B2 ) @ B ) ) )
% 0.28/0.47 => ( ( member_b @ Z @ B )
% 0.28/0.47 => ( ( finite1511629767ph_a_b @ F @ Z @ A )
% 0.28/0.47 = ( finite1511629767ph_a_b @ G @ Z @ A ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fold_graph_closed_eq
% 0.28/0.47 thf(fact_28_fold__graph__closed__eq,axiom,
% 0.28/0.47 ! [A: set_a,B: set_d,F: a > d > d,G: a > d > d,Z: d] :
% 0.28/0.47 ( ! [A2: a,B2: d] :
% 0.28/0.47 ( ( member_a @ A2 @ A )
% 0.28/0.47 => ( ( member_d @ B2 @ B )
% 0.28/0.47 => ( ( F @ A2 @ B2 )
% 0.28/0.47 = ( G @ A2 @ B2 ) ) ) )
% 0.28/0.47 => ( ! [A2: a,B2: d] :
% 0.28/0.47 ( ( member_a @ A2 @ A )
% 0.28/0.47 => ( ( member_d @ B2 @ B )
% 0.28/0.47 => ( member_d @ ( G @ A2 @ B2 ) @ B ) ) )
% 0.28/0.47 => ( ( member_d @ Z @ B )
% 0.28/0.47 => ( ( finite1511629769ph_a_d @ F @ Z @ A )
% 0.28/0.47 = ( finite1511629769ph_a_d @ G @ Z @ A ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fold_graph_closed_eq
% 0.28/0.47 thf(fact_29_fold__graph__closed__eq,axiom,
% 0.28/0.47 ! [A: set_c,B: set_a,F: c > a > a,G: c > a > a,Z: a] :
% 0.28/0.47 ( ! [A2: c,B2: a] :
% 0.28/0.47 ( ( member_c @ A2 @ A )
% 0.28/0.47 => ( ( member_a @ B2 @ B )
% 0.28/0.47 => ( ( F @ A2 @ B2 )
% 0.28/0.47 = ( G @ A2 @ B2 ) ) ) )
% 0.28/0.47 => ( ! [A2: c,B2: a] :
% 0.28/0.47 ( ( member_c @ A2 @ A )
% 0.28/0.47 => ( ( member_a @ B2 @ B )
% 0.28/0.47 => ( member_a @ ( G @ A2 @ B2 ) @ B ) ) )
% 0.28/0.47 => ( ( member_a @ Z @ B )
% 0.28/0.47 => ( ( finite1019684932ph_c_a @ F @ Z @ A )
% 0.28/0.47 = ( finite1019684932ph_c_a @ G @ Z @ A ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fold_graph_closed_eq
% 0.28/0.47 thf(fact_30_fold__graph__closed__eq,axiom,
% 0.28/0.47 ! [A: set_c,B: set_c,F: c > c > c,G: c > c > c,Z: c] :
% 0.28/0.47 ( ! [A2: c,B2: c] :
% 0.28/0.47 ( ( member_c @ A2 @ A )
% 0.28/0.47 => ( ( member_c @ B2 @ B )
% 0.28/0.47 => ( ( F @ A2 @ B2 )
% 0.28/0.47 = ( G @ A2 @ B2 ) ) ) )
% 0.28/0.47 => ( ! [A2: c,B2: c] :
% 0.28/0.47 ( ( member_c @ A2 @ A )
% 0.28/0.47 => ( ( member_c @ B2 @ B )
% 0.28/0.47 => ( member_c @ ( G @ A2 @ B2 ) @ B ) ) )
% 0.28/0.47 => ( ( member_c @ Z @ B )
% 0.28/0.47 => ( ( finite1019684934ph_c_c @ F @ Z @ A )
% 0.28/0.47 = ( finite1019684934ph_c_c @ G @ Z @ A ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fold_graph_closed_eq
% 0.28/0.47 thf(fact_31_fold__graph__closed__eq,axiom,
% 0.28/0.47 ! [A: set_c,B: set_b,F: c > b > b,G: c > b > b,Z: b] :
% 0.28/0.47 ( ! [A2: c,B2: b] :
% 0.28/0.47 ( ( member_c @ A2 @ A )
% 0.28/0.47 => ( ( member_b @ B2 @ B )
% 0.28/0.47 => ( ( F @ A2 @ B2 )
% 0.28/0.47 = ( G @ A2 @ B2 ) ) ) )
% 0.28/0.47 => ( ! [A2: c,B2: b] :
% 0.28/0.47 ( ( member_c @ A2 @ A )
% 0.28/0.47 => ( ( member_b @ B2 @ B )
% 0.28/0.47 => ( member_b @ ( G @ A2 @ B2 ) @ B ) ) )
% 0.28/0.47 => ( ( member_b @ Z @ B )
% 0.28/0.47 => ( ( finite1019684933ph_c_b @ F @ Z @ A )
% 0.28/0.47 = ( finite1019684933ph_c_b @ G @ Z @ A ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fold_graph_closed_eq
% 0.28/0.47 thf(fact_32_fold__graph__closed__eq,axiom,
% 0.28/0.47 ! [A: set_c,B: set_d,F: c > d > d,G: c > d > d,Z: d] :
% 0.28/0.47 ( ! [A2: c,B2: d] :
% 0.28/0.47 ( ( member_c @ A2 @ A )
% 0.28/0.47 => ( ( member_d @ B2 @ B )
% 0.28/0.47 => ( ( F @ A2 @ B2 )
% 0.28/0.47 = ( G @ A2 @ B2 ) ) ) )
% 0.28/0.47 => ( ! [A2: c,B2: d] :
% 0.28/0.47 ( ( member_c @ A2 @ A )
% 0.28/0.47 => ( ( member_d @ B2 @ B )
% 0.28/0.47 => ( member_d @ ( G @ A2 @ B2 ) @ B ) ) )
% 0.28/0.47 => ( ( member_d @ Z @ B )
% 0.28/0.47 => ( ( finite1019684935ph_c_d @ F @ Z @ A )
% 0.28/0.47 = ( finite1019684935ph_c_d @ G @ Z @ A ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fold_graph_closed_eq
% 0.28/0.47 thf(fact_33_fold__graph__closed__eq,axiom,
% 0.28/0.47 ! [A: set_b,B: set_a,F: b > a > a,G: b > a > a,Z: a] :
% 0.28/0.47 ( ! [A2: b,B2: a] :
% 0.28/0.47 ( ( member_b @ A2 @ A )
% 0.28/0.47 => ( ( member_a @ B2 @ B )
% 0.28/0.47 => ( ( F @ A2 @ B2 )
% 0.28/0.47 = ( G @ A2 @ B2 ) ) ) )
% 0.28/0.47 => ( ! [A2: b,B2: a] :
% 0.28/0.47 ( ( member_b @ A2 @ A )
% 0.28/0.47 => ( ( member_a @ B2 @ B )
% 0.28/0.47 => ( member_a @ ( G @ A2 @ B2 ) @ B ) ) )
% 0.28/0.47 => ( ( member_a @ Z @ B )
% 0.28/0.47 => ( ( finite191915525ph_b_a @ F @ Z @ A )
% 0.28/0.47 = ( finite191915525ph_b_a @ G @ Z @ A ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fold_graph_closed_eq
% 0.28/0.47 thf(fact_34_fold__graph__closed__lemma,axiom,
% 0.28/0.47 ! [G: b > d > d,Z: d,A: set_b,X: d,B: set_d,F: b > d > d] :
% 0.28/0.47 ( ( finite191915528ph_b_d @ G @ Z @ A @ X )
% 0.28/0.47 => ( ! [A2: b,B2: d] :
% 0.28/0.47 ( ( member_b @ A2 @ A )
% 0.28/0.47 => ( ( member_d @ B2 @ B )
% 0.28/0.47 => ( ( F @ A2 @ B2 )
% 0.28/0.47 = ( G @ A2 @ B2 ) ) ) )
% 0.28/0.47 => ( ! [A2: b,B2: d] :
% 0.28/0.47 ( ( member_b @ A2 @ A )
% 0.28/0.47 => ( ( member_d @ B2 @ B )
% 0.28/0.47 => ( member_d @ ( G @ A2 @ B2 ) @ B ) ) )
% 0.28/0.47 => ( ( member_d @ Z @ B )
% 0.28/0.47 => ( ( finite191915528ph_b_d @ F @ Z @ A @ X )
% 0.28/0.47 & ( member_d @ X @ B ) ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fold_graph_closed_lemma
% 0.28/0.47 thf(fact_35_fold__graph__closed__lemma,axiom,
% 0.28/0.47 ! [G: a > c > c,Z: c,A: set_a,X: c,B: set_c,F: a > c > c] :
% 0.28/0.47 ( ( finite1511629768ph_a_c @ G @ Z @ A @ X )
% 0.28/0.47 => ( ! [A2: a,B2: c] :
% 0.28/0.47 ( ( member_a @ A2 @ A )
% 0.28/0.47 => ( ( member_c @ B2 @ B )
% 0.28/0.47 => ( ( F @ A2 @ B2 )
% 0.28/0.47 = ( G @ A2 @ B2 ) ) ) )
% 0.28/0.47 => ( ! [A2: a,B2: c] :
% 0.28/0.47 ( ( member_a @ A2 @ A )
% 0.28/0.47 => ( ( member_c @ B2 @ B )
% 0.28/0.47 => ( member_c @ ( G @ A2 @ B2 ) @ B ) ) )
% 0.28/0.47 => ( ( member_c @ Z @ B )
% 0.28/0.47 => ( ( finite1511629768ph_a_c @ F @ Z @ A @ X )
% 0.28/0.47 & ( member_c @ X @ B ) ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fold_graph_closed_lemma
% 0.28/0.47 thf(fact_36_fold__graph__closed__lemma,axiom,
% 0.28/0.47 ! [G: a > a > a,Z: a,A: set_a,X: a,B: set_a,F: a > a > a] :
% 0.28/0.47 ( ( finite1511629766ph_a_a @ G @ Z @ A @ X )
% 0.28/0.47 => ( ! [A2: a,B2: a] :
% 0.28/0.47 ( ( member_a @ A2 @ A )
% 0.28/0.47 => ( ( member_a @ B2 @ B )
% 0.28/0.47 => ( ( F @ A2 @ B2 )
% 0.28/0.47 = ( G @ A2 @ B2 ) ) ) )
% 0.28/0.47 => ( ! [A2: a,B2: a] :
% 0.28/0.47 ( ( member_a @ A2 @ A )
% 0.28/0.47 => ( ( member_a @ B2 @ B )
% 0.28/0.47 => ( member_a @ ( G @ A2 @ B2 ) @ B ) ) )
% 0.28/0.47 => ( ( member_a @ Z @ B )
% 0.28/0.47 => ( ( finite1511629766ph_a_a @ F @ Z @ A @ X )
% 0.28/0.47 & ( member_a @ X @ B ) ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fold_graph_closed_lemma
% 0.28/0.47 thf(fact_37_fold__graph__closed__lemma,axiom,
% 0.28/0.47 ! [G: a > b > b,Z: b,A: set_a,X: b,B: set_b,F: a > b > b] :
% 0.28/0.47 ( ( finite1511629767ph_a_b @ G @ Z @ A @ X )
% 0.28/0.47 => ( ! [A2: a,B2: b] :
% 0.28/0.47 ( ( member_a @ A2 @ A )
% 0.28/0.47 => ( ( member_b @ B2 @ B )
% 0.28/0.47 => ( ( F @ A2 @ B2 )
% 0.28/0.47 = ( G @ A2 @ B2 ) ) ) )
% 0.28/0.47 => ( ! [A2: a,B2: b] :
% 0.28/0.47 ( ( member_a @ A2 @ A )
% 0.28/0.47 => ( ( member_b @ B2 @ B )
% 0.28/0.47 => ( member_b @ ( G @ A2 @ B2 ) @ B ) ) )
% 0.28/0.47 => ( ( member_b @ Z @ B )
% 0.28/0.47 => ( ( finite1511629767ph_a_b @ F @ Z @ A @ X )
% 0.28/0.47 & ( member_b @ X @ B ) ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fold_graph_closed_lemma
% 0.28/0.47 thf(fact_38_fold__graph__closed__lemma,axiom,
% 0.28/0.47 ! [G: a > d > d,Z: d,A: set_a,X: d,B: set_d,F: a > d > d] :
% 0.28/0.47 ( ( finite1511629769ph_a_d @ G @ Z @ A @ X )
% 0.28/0.47 => ( ! [A2: a,B2: d] :
% 0.28/0.47 ( ( member_a @ A2 @ A )
% 0.28/0.47 => ( ( member_d @ B2 @ B )
% 0.28/0.47 => ( ( F @ A2 @ B2 )
% 0.28/0.47 = ( G @ A2 @ B2 ) ) ) )
% 0.28/0.47 => ( ! [A2: a,B2: d] :
% 0.28/0.47 ( ( member_a @ A2 @ A )
% 0.28/0.47 => ( ( member_d @ B2 @ B )
% 0.28/0.47 => ( member_d @ ( G @ A2 @ B2 ) @ B ) ) )
% 0.28/0.47 => ( ( member_d @ Z @ B )
% 0.28/0.47 => ( ( finite1511629769ph_a_d @ F @ Z @ A @ X )
% 0.28/0.47 & ( member_d @ X @ B ) ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fold_graph_closed_lemma
% 0.28/0.47 thf(fact_39_fold__graph__closed__lemma,axiom,
% 0.28/0.47 ! [G: c > a > a,Z: a,A: set_c,X: a,B: set_a,F: c > a > a] :
% 0.28/0.47 ( ( finite1019684932ph_c_a @ G @ Z @ A @ X )
% 0.28/0.47 => ( ! [A2: c,B2: a] :
% 0.28/0.47 ( ( member_c @ A2 @ A )
% 0.28/0.47 => ( ( member_a @ B2 @ B )
% 0.28/0.47 => ( ( F @ A2 @ B2 )
% 0.28/0.47 = ( G @ A2 @ B2 ) ) ) )
% 0.28/0.47 => ( ! [A2: c,B2: a] :
% 0.28/0.47 ( ( member_c @ A2 @ A )
% 0.28/0.47 => ( ( member_a @ B2 @ B )
% 0.28/0.47 => ( member_a @ ( G @ A2 @ B2 ) @ B ) ) )
% 0.28/0.47 => ( ( member_a @ Z @ B )
% 0.28/0.47 => ( ( finite1019684932ph_c_a @ F @ Z @ A @ X )
% 0.28/0.47 & ( member_a @ X @ B ) ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fold_graph_closed_lemma
% 0.28/0.47 thf(fact_40_fold__graph__closed__lemma,axiom,
% 0.28/0.47 ! [G: c > c > c,Z: c,A: set_c,X: c,B: set_c,F: c > c > c] :
% 0.28/0.47 ( ( finite1019684934ph_c_c @ G @ Z @ A @ X )
% 0.28/0.47 => ( ! [A2: c,B2: c] :
% 0.28/0.47 ( ( member_c @ A2 @ A )
% 0.28/0.47 => ( ( member_c @ B2 @ B )
% 0.28/0.47 => ( ( F @ A2 @ B2 )
% 0.28/0.47 = ( G @ A2 @ B2 ) ) ) )
% 0.28/0.47 => ( ! [A2: c,B2: c] :
% 0.28/0.47 ( ( member_c @ A2 @ A )
% 0.28/0.47 => ( ( member_c @ B2 @ B )
% 0.28/0.47 => ( member_c @ ( G @ A2 @ B2 ) @ B ) ) )
% 0.28/0.47 => ( ( member_c @ Z @ B )
% 0.28/0.47 => ( ( finite1019684934ph_c_c @ F @ Z @ A @ X )
% 0.28/0.47 & ( member_c @ X @ B ) ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fold_graph_closed_lemma
% 0.28/0.47 thf(fact_41_fold__graph__closed__lemma,axiom,
% 0.28/0.47 ! [G: c > b > b,Z: b,A: set_c,X: b,B: set_b,F: c > b > b] :
% 0.28/0.47 ( ( finite1019684933ph_c_b @ G @ Z @ A @ X )
% 0.28/0.47 => ( ! [A2: c,B2: b] :
% 0.28/0.47 ( ( member_c @ A2 @ A )
% 0.28/0.47 => ( ( member_b @ B2 @ B )
% 0.28/0.47 => ( ( F @ A2 @ B2 )
% 0.28/0.47 = ( G @ A2 @ B2 ) ) ) )
% 0.28/0.47 => ( ! [A2: c,B2: b] :
% 0.28/0.47 ( ( member_c @ A2 @ A )
% 0.28/0.47 => ( ( member_b @ B2 @ B )
% 0.28/0.47 => ( member_b @ ( G @ A2 @ B2 ) @ B ) ) )
% 0.28/0.47 => ( ( member_b @ Z @ B )
% 0.28/0.47 => ( ( finite1019684933ph_c_b @ F @ Z @ A @ X )
% 0.28/0.47 & ( member_b @ X @ B ) ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fold_graph_closed_lemma
% 0.28/0.47 thf(fact_42_fold__graph__closed__lemma,axiom,
% 0.28/0.47 ! [G: c > d > d,Z: d,A: set_c,X: d,B: set_d,F: c > d > d] :
% 0.28/0.47 ( ( finite1019684935ph_c_d @ G @ Z @ A @ X )
% 0.28/0.47 => ( ! [A2: c,B2: d] :
% 0.28/0.47 ( ( member_c @ A2 @ A )
% 0.28/0.47 => ( ( member_d @ B2 @ B )
% 0.28/0.47 => ( ( F @ A2 @ B2 )
% 0.28/0.47 = ( G @ A2 @ B2 ) ) ) )
% 0.28/0.47 => ( ! [A2: c,B2: d] :
% 0.28/0.47 ( ( member_c @ A2 @ A )
% 0.28/0.47 => ( ( member_d @ B2 @ B )
% 0.28/0.47 => ( member_d @ ( G @ A2 @ B2 ) @ B ) ) )
% 0.28/0.47 => ( ( member_d @ Z @ B )
% 0.28/0.47 => ( ( finite1019684935ph_c_d @ F @ Z @ A @ X )
% 0.28/0.47 & ( member_d @ X @ B ) ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fold_graph_closed_lemma
% 0.28/0.47 thf(fact_43_fold__graph__closed__lemma,axiom,
% 0.28/0.47 ! [G: b > a > a,Z: a,A: set_b,X: a,B: set_a,F: b > a > a] :
% 0.28/0.47 ( ( finite191915525ph_b_a @ G @ Z @ A @ X )
% 0.28/0.47 => ( ! [A2: b,B2: a] :
% 0.28/0.47 ( ( member_b @ A2 @ A )
% 0.28/0.47 => ( ( member_a @ B2 @ B )
% 0.28/0.47 => ( ( F @ A2 @ B2 )
% 0.28/0.47 = ( G @ A2 @ B2 ) ) ) )
% 0.28/0.47 => ( ! [A2: b,B2: a] :
% 0.28/0.47 ( ( member_b @ A2 @ A )
% 0.28/0.47 => ( ( member_a @ B2 @ B )
% 0.28/0.47 => ( member_a @ ( G @ A2 @ B2 ) @ B ) ) )
% 0.28/0.47 => ( ( member_a @ Z @ B )
% 0.28/0.47 => ( ( finite191915525ph_b_a @ F @ Z @ A @ X )
% 0.28/0.47 & ( member_a @ X @ B ) ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fold_graph_closed_lemma
% 0.28/0.47 thf(fact_44_comp__fun__idem_Ocomp__fun__idem,axiom,
% 0.28/0.47 ! [F: b > d > d,X: b] :
% 0.28/0.47 ( ( finite868010766em_b_d @ F )
% 0.28/0.47 => ( ( comp_d_d_d @ ( F @ X ) @ ( F @ X ) )
% 0.28/0.47 = ( F @ X ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_idem.comp_fun_idem
% 0.28/0.47 thf(fact_45_comp__fun__idem_Ocomp__fun__idem,axiom,
% 0.28/0.47 ! [F: a > c > c,X: a] :
% 0.28/0.47 ( ( finite40241358em_a_c @ F )
% 0.28/0.47 => ( ( comp_c_c_c @ ( F @ X ) @ ( F @ X ) )
% 0.28/0.47 = ( F @ X ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_idem.comp_fun_idem
% 0.28/0.47 thf(fact_46_comp__fun__idem_Ofun__left__idem,axiom,
% 0.28/0.47 ! [F: b > d > d,X: b,Z: d] :
% 0.28/0.47 ( ( finite868010766em_b_d @ F )
% 0.28/0.47 => ( ( F @ X @ ( F @ X @ Z ) )
% 0.28/0.47 = ( F @ X @ Z ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_idem.fun_left_idem
% 0.28/0.47 thf(fact_47_comp__fun__idem_Ofun__left__idem,axiom,
% 0.28/0.47 ! [F: a > c > c,X: a,Z: c] :
% 0.28/0.47 ( ( finite40241358em_a_c @ F )
% 0.28/0.47 => ( ( F @ X @ ( F @ X @ Z ) )
% 0.28/0.47 = ( F @ X @ Z ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_idem.fun_left_idem
% 0.28/0.47 thf(fact_48_comp__fun__idem_Ocomp__comp__fun__idem,axiom,
% 0.28/0.47 ! [F: a > c > c,G: b > a] :
% 0.28/0.47 ( ( finite40241358em_a_c @ F )
% 0.28/0.47 => ( finite868010765em_b_c @ ( comp_a_c_c_b @ F @ G ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_idem.comp_comp_fun_idem
% 0.28/0.47 thf(fact_49_comp__fun__idem_Ocomp__comp__fun__idem,axiom,
% 0.28/0.47 ! [F: b > d > d,G: b > b] :
% 0.28/0.47 ( ( finite868010766em_b_d @ F )
% 0.28/0.47 => ( finite868010766em_b_d @ ( comp_b_d_d_b @ F @ G ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_idem.comp_comp_fun_idem
% 0.28/0.47 thf(fact_50_comp__fun__idem_Ocomp__comp__fun__idem,axiom,
% 0.28/0.47 ! [F: a > c > c,G: a > a] :
% 0.28/0.47 ( ( finite40241358em_a_c @ F )
% 0.28/0.47 => ( finite40241358em_a_c @ ( comp_a_c_c_a @ F @ G ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_idem.comp_comp_fun_idem
% 0.28/0.47 thf(fact_51_comp__apply,axiom,
% 0.28/0.47 ( comp_b_b_d_d
% 0.28/0.47 = ( ^ [F2: b > b,G2: ( d > d ) > b,X3: d > d] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_apply
% 0.28/0.47 thf(fact_52_comp__apply,axiom,
% 0.28/0.47 ( comp_b_b_b
% 0.28/0.47 = ( ^ [F2: b > b,G2: b > b,X3: b] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_apply
% 0.28/0.47 thf(fact_53_comp__apply,axiom,
% 0.28/0.47 ( comp_a_c_c_b
% 0.28/0.47 = ( ^ [F2: a > c > c,G2: b > a,X3: b] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_apply
% 0.28/0.47 thf(fact_54_comp__apply,axiom,
% 0.28/0.47 ( comp_a_a_c_c
% 0.28/0.47 = ( ^ [F2: a > a,G2: ( c > c ) > a,X3: c > c] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_apply
% 0.28/0.47 thf(fact_55_comp__apply,axiom,
% 0.28/0.47 ( comp_a_a_a
% 0.28/0.47 = ( ^ [F2: a > a,G2: a > a,X3: a] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_apply
% 0.28/0.47 thf(fact_56_comp__apply,axiom,
% 0.28/0.47 ( comp_b_d_d_b
% 0.28/0.47 = ( ^ [F2: b > d > d,G2: b > b,X3: b] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_apply
% 0.28/0.47 thf(fact_57_comp__apply,axiom,
% 0.28/0.47 ( comp_a_c_c_a
% 0.28/0.47 = ( ^ [F2: a > c > c,G2: a > a,X3: a] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_apply
% 0.28/0.47 thf(fact_58_rel__funI,axiom,
% 0.28/0.47 ! [A: a > b > $o,B: a > b > $o,F: a > a,G: b > b] :
% 0.28/0.47 ( ! [X2: a,Y2: b] :
% 0.28/0.47 ( ( A @ X2 @ Y2 )
% 0.28/0.47 => ( B @ ( F @ X2 ) @ ( G @ Y2 ) ) )
% 0.28/0.47 => ( bNF_rel_fun_a_b_a_b @ A @ B @ F @ G ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_funI
% 0.28/0.47 thf(fact_59_rel__funI,axiom,
% 0.28/0.47 ! [A: a > a > $o,B: ( c > c ) > ( d > d ) > $o,F: a > c > c,G: a > d > d] :
% 0.28/0.47 ( ! [X2: a,Y2: a] :
% 0.28/0.47 ( ( A @ X2 @ Y2 )
% 0.28/0.47 => ( B @ ( F @ X2 ) @ ( G @ Y2 ) ) )
% 0.28/0.47 => ( bNF_re1979731817_c_d_d @ A @ B @ F @ G ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_funI
% 0.28/0.47 thf(fact_60_rel__funI,axiom,
% 0.28/0.47 ! [A: a > a > $o,B: ( c > c ) > ( c > c ) > $o,F: a > c > c,G: a > c > c] :
% 0.28/0.47 ( ! [X2: a,Y2: a] :
% 0.28/0.47 ( ( A @ X2 @ Y2 )
% 0.28/0.47 => ( B @ ( F @ X2 ) @ ( G @ Y2 ) ) )
% 0.28/0.47 => ( bNF_re1143700905_c_c_c @ A @ B @ F @ G ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_funI
% 0.28/0.47 thf(fact_61_rel__funI,axiom,
% 0.28/0.47 ! [A: a > a > $o,B: a > b > $o,F: a > a,G: a > b] :
% 0.28/0.47 ( ! [X2: a,Y2: a] :
% 0.28/0.47 ( ( A @ X2 @ Y2 )
% 0.28/0.47 => ( B @ ( F @ X2 ) @ ( G @ Y2 ) ) )
% 0.28/0.47 => ( bNF_rel_fun_a_a_a_b @ A @ B @ F @ G ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_funI
% 0.28/0.47 thf(fact_62_rel__funI,axiom,
% 0.28/0.47 ! [A: a > a > $o,B: a > a > $o,F: a > a,G: a > a] :
% 0.28/0.47 ( ! [X2: a,Y2: a] :
% 0.28/0.47 ( ( A @ X2 @ Y2 )
% 0.28/0.47 => ( B @ ( F @ X2 ) @ ( G @ Y2 ) ) )
% 0.28/0.47 => ( bNF_rel_fun_a_a_a_a @ A @ B @ F @ G ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_funI
% 0.28/0.47 thf(fact_63_rel__funI,axiom,
% 0.28/0.47 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o,F: a > c > c,G: b > d > d] :
% 0.28/0.47 ( ! [X2: a,Y2: b] :
% 0.28/0.47 ( ( A @ X2 @ Y2 )
% 0.28/0.47 => ( B @ ( F @ X2 ) @ ( G @ Y2 ) ) )
% 0.28/0.47 => ( bNF_re802603882_c_d_d @ A @ B @ F @ G ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_funI
% 0.28/0.47 thf(fact_64_rel__funI,axiom,
% 0.28/0.47 ! [A: c > d > $o,B: c > d > $o,F: c > c,G: d > d] :
% 0.28/0.47 ( ! [X2: c,Y2: d] :
% 0.28/0.47 ( ( A @ X2 @ Y2 )
% 0.28/0.47 => ( B @ ( F @ X2 ) @ ( G @ Y2 ) ) )
% 0.28/0.47 => ( bNF_rel_fun_c_d_c_d @ A @ B @ F @ G ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_funI
% 0.28/0.47 thf(fact_65_If__transfer,axiom,
% 0.28/0.47 ! [A: a > b > $o] :
% 0.28/0.47 ( bNF_re588060702_b_b_b
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 )
% 0.28/0.47 @ ( bNF_re569932906_a_b_b @ A @ ( bNF_rel_fun_a_b_a_b @ A @ A ) )
% 0.28/0.47 @ if_a
% 0.28/0.47 @ if_b ) ).
% 0.28/0.47
% 0.28/0.47 % If_transfer
% 0.28/0.47 thf(fact_66_If__transfer,axiom,
% 0.28/0.47 ! [A: a > a > $o] :
% 0.28/0.47 ( bNF_re1705765981_a_a_a
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 )
% 0.28/0.47 @ ( bNF_re911029929_a_a_a @ A @ ( bNF_rel_fun_a_a_a_a @ A @ A ) )
% 0.28/0.47 @ if_a
% 0.28/0.47 @ if_a ) ).
% 0.28/0.47
% 0.28/0.47 % If_transfer
% 0.28/0.47 thf(fact_67_If__transfer,axiom,
% 0.28/0.47 ! [A: c > d > $o] :
% 0.28/0.47 ( bNF_re647211934_d_d_d
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 )
% 0.28/0.47 @ ( bNF_re1972258794_c_d_d @ A @ ( bNF_rel_fun_c_d_c_d @ A @ A ) )
% 0.28/0.47 @ if_c
% 0.28/0.47 @ if_d ) ).
% 0.28/0.47
% 0.28/0.47 % If_transfer
% 0.28/0.47 thf(fact_68_rel__fun__def__butlast,axiom,
% 0.28/0.47 ! [R: a > a > $o,S2: c > d > $o,T: c > d > $o,F: a > c > c,G: a > d > d] :
% 0.28/0.47 ( ( bNF_re1979731817_c_d_d @ R @ ( bNF_rel_fun_c_d_c_d @ S2 @ T ) @ F @ G )
% 0.28/0.47 = ( ! [X3: a,Y3: a] :
% 0.28/0.47 ( ( R @ X3 @ Y3 )
% 0.28/0.47 => ( bNF_rel_fun_c_d_c_d @ S2 @ T @ ( F @ X3 ) @ ( G @ Y3 ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_fun_def_butlast
% 0.28/0.47 thf(fact_69_rel__fun__def__butlast,axiom,
% 0.28/0.47 ! [R: a > a > $o,S2: c > c > $o,T: c > c > $o,F: a > c > c,G: a > c > c] :
% 0.28/0.47 ( ( bNF_re1143700905_c_c_c @ R @ ( bNF_rel_fun_c_c_c_c @ S2 @ T ) @ F @ G )
% 0.28/0.47 = ( ! [X3: a,Y3: a] :
% 0.28/0.47 ( ( R @ X3 @ Y3 )
% 0.28/0.47 => ( bNF_rel_fun_c_c_c_c @ S2 @ T @ ( F @ X3 ) @ ( G @ Y3 ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_fun_def_butlast
% 0.28/0.47 thf(fact_70_rel__fun__def__butlast,axiom,
% 0.28/0.47 ! [R: a > b > $o,S2: c > d > $o,T: c > d > $o,F: a > c > c,G: b > d > d] :
% 0.28/0.47 ( ( bNF_re802603882_c_d_d @ R @ ( bNF_rel_fun_c_d_c_d @ S2 @ T ) @ F @ G )
% 0.28/0.47 = ( ! [X3: a,Y3: b] :
% 0.28/0.47 ( ( R @ X3 @ Y3 )
% 0.28/0.47 => ( bNF_rel_fun_c_d_c_d @ S2 @ T @ ( F @ X3 ) @ ( G @ Y3 ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_fun_def_butlast
% 0.28/0.47 thf(fact_71_o__rsp_I2_J,axiom,
% 0.28/0.47 ! [R1: b > b > $o] :
% 0.28/0.47 ( bNF_re742509149_b_d_d
% 0.28/0.47 @ ^ [Y4: b > d > d,Z2: b > d > d] : ( Y4 = Z2 )
% 0.28/0.47 @ ( bNF_re1412708073_b_d_d
% 0.28/0.47 @ ( bNF_rel_fun_b_b_b_b @ R1
% 0.28/0.47 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 ) )
% 0.28/0.47 @ ( bNF_re1844863849_d_d_d @ R1
% 0.28/0.47 @ ^ [Y4: d > d,Z2: d > d] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ comp_b_d_d_b
% 0.28/0.47 @ comp_b_d_d_b ) ).
% 0.28/0.47
% 0.28/0.47 % o_rsp(2)
% 0.28/0.47 thf(fact_72_o__rsp_I2_J,axiom,
% 0.28/0.47 ! [R1: a > a > $o] :
% 0.28/0.47 ( bNF_re880840541_a_c_c
% 0.28/0.47 @ ^ [Y4: a > c > c,Z2: a > c > c] : ( Y4 = Z2 )
% 0.28/0.47 @ ( bNF_re1691224489_a_c_c
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a @ R1
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 0.28/0.47 @ ( bNF_re1143700905_c_c_c @ R1
% 0.28/0.47 @ ^ [Y4: c > c,Z2: c > c] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ comp_a_c_c_a
% 0.28/0.47 @ comp_a_c_c_a ) ).
% 0.28/0.47
% 0.28/0.47 % o_rsp(2)
% 0.28/0.47 thf(fact_73_o__rsp_I2_J,axiom,
% 0.28/0.47 ! [R1: b > b > $o] :
% 0.28/0.47 ( bNF_re1222471293_b_b_b
% 0.28/0.47 @ ^ [Y4: b > b,Z2: b > b] : ( Y4 = Z2 )
% 0.28/0.47 @ ( bNF_re2075418869_b_b_b
% 0.28/0.47 @ ( bNF_rel_fun_b_b_b_b @ R1
% 0.28/0.47 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 ) )
% 0.28/0.47 @ ( bNF_rel_fun_b_b_b_b @ R1
% 0.28/0.47 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ comp_b_b_b
% 0.28/0.47 @ comp_b_b_b ) ).
% 0.28/0.47
% 0.28/0.47 % o_rsp(2)
% 0.28/0.47 thf(fact_74_o__rsp_I2_J,axiom,
% 0.28/0.47 ! [R1: a > a > $o] :
% 0.28/0.47 ( bNF_re1258259453_a_a_a
% 0.28/0.47 @ ^ [Y4: a > a,Z2: a > a] : ( Y4 = Z2 )
% 0.28/0.47 @ ( bNF_re1690311157_a_a_a
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a @ R1
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a @ R1
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ comp_a_a_a
% 0.28/0.47 @ comp_a_a_a ) ).
% 0.28/0.47
% 0.28/0.47 % o_rsp(2)
% 0.28/0.47 thf(fact_75_o__rsp_I2_J,axiom,
% 0.28/0.47 ! [R1: a > b > $o] :
% 0.28/0.47 ( bNF_re1311853791_b_c_c
% 0.28/0.47 @ ^ [Y4: a > c > c,Z2: a > c > c] : ( Y4 = Z2 )
% 0.28/0.47 @ ( bNF_re1665173865_b_c_c
% 0.28/0.47 @ ( bNF_rel_fun_a_b_a_a @ R1
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 0.28/0.47 @ ( bNF_re2114056618_c_c_c @ R1
% 0.28/0.47 @ ^ [Y4: c > c,Z2: c > c] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ comp_a_c_c_a
% 0.28/0.47 @ comp_a_c_c_b ) ).
% 0.28/0.47
% 0.28/0.47 % o_rsp(2)
% 0.28/0.47 thf(fact_76_o__rsp_I2_J,axiom,
% 0.28/0.47 ! [R1: ( d > d ) > b > $o] :
% 0.28/0.47 ( bNF_re1138812345_b_b_b
% 0.28/0.47 @ ^ [Y4: b > b,Z2: b > b] : ( Y4 = Z2 )
% 0.28/0.47 @ ( bNF_re323253981_b_b_b
% 0.28/0.47 @ ( bNF_re1703323451_b_b_b @ R1
% 0.28/0.47 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 ) )
% 0.28/0.47 @ ( bNF_re1703323451_b_b_b @ R1
% 0.28/0.47 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ comp_b_b_d_d
% 0.28/0.47 @ comp_b_b_b ) ).
% 0.28/0.47
% 0.28/0.47 % o_rsp(2)
% 0.28/0.47 thf(fact_77_o__rsp_I2_J,axiom,
% 0.28/0.47 ! [R1: b > ( d > d ) > $o] :
% 0.28/0.47 ( bNF_re961930425_d_d_b
% 0.28/0.47 @ ^ [Y4: b > b,Z2: b > b] : ( Y4 = Z2 )
% 0.28/0.47 @ ( bNF_re1794062813_d_d_b
% 0.28/0.47 @ ( bNF_re1573506119_d_b_b @ R1
% 0.28/0.47 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 ) )
% 0.28/0.47 @ ( bNF_re1573506119_d_b_b @ R1
% 0.28/0.47 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ comp_b_b_b
% 0.28/0.47 @ comp_b_b_d_d ) ).
% 0.28/0.47
% 0.28/0.47 % o_rsp(2)
% 0.28/0.47 thf(fact_78_o__rsp_I2_J,axiom,
% 0.28/0.47 ! [R1: b > a > $o] :
% 0.28/0.47 ( bNF_re978949211_a_c_c
% 0.28/0.47 @ ^ [Y4: a > c > c,Z2: a > c > c] : ( Y4 = Z2 )
% 0.28/0.47 @ ( bNF_re1591514407_a_c_c
% 0.28/0.47 @ ( bNF_rel_fun_b_a_a_a @ R1
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 0.28/0.47 @ ( bNF_re758172648_c_c_c @ R1
% 0.28/0.47 @ ^ [Y4: c > c,Z2: c > c] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ comp_a_c_c_b
% 0.28/0.47 @ comp_a_c_c_a ) ).
% 0.28/0.47
% 0.28/0.47 % o_rsp(2)
% 0.28/0.47 thf(fact_79_o__rsp_I2_J,axiom,
% 0.28/0.47 ! [R1: b > b > $o] :
% 0.28/0.47 ( bNF_re1409962461_b_c_c
% 0.28/0.47 @ ^ [Y4: a > c > c,Z2: a > c > c] : ( Y4 = Z2 )
% 0.28/0.47 @ ( bNF_re1565463783_b_c_c
% 0.28/0.47 @ ( bNF_rel_fun_b_b_a_a @ R1
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 0.28/0.47 @ ( bNF_re1728528361_c_c_c @ R1
% 0.28/0.47 @ ^ [Y4: c > c,Z2: c > c] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ comp_a_c_c_b
% 0.28/0.47 @ comp_a_c_c_b ) ).
% 0.28/0.47
% 0.28/0.47 % o_rsp(2)
% 0.28/0.47 thf(fact_80_o__rsp_I2_J,axiom,
% 0.28/0.47 ! [R1: ( c > c ) > a > $o] :
% 0.28/0.47 ( bNF_re1503602041_a_a_a
% 0.28/0.47 @ ^ [Y4: a > a,Z2: a > a] : ( Y4 = Z2 )
% 0.28/0.47 @ ( bNF_re1177671453_a_a_a
% 0.28/0.47 @ ( bNF_re1424579386_a_a_a @ R1
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 0.28/0.47 @ ( bNF_re1424579386_a_a_a @ R1
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ comp_a_a_c_c
% 0.28/0.47 @ comp_a_a_a ) ).
% 0.28/0.47
% 0.28/0.47 % o_rsp(2)
% 0.28/0.47 thf(fact_81_o__rsp_I1_J,axiom,
% 0.28/0.47 ! [R2: c > d > $o,R3: c > d > $o,R1: c > d > $o] : ( bNF_re764096061_d_d_d @ ( bNF_rel_fun_c_d_c_d @ R2 @ R3 ) @ ( bNF_re2078100341_c_d_d @ ( bNF_rel_fun_c_d_c_d @ R1 @ R2 ) @ ( bNF_rel_fun_c_d_c_d @ R1 @ R3 ) ) @ comp_c_c_c @ comp_d_d_d ) ).
% 0.28/0.47
% 0.28/0.47 % o_rsp(1)
% 0.28/0.47 thf(fact_82_o__rsp_I1_J,axiom,
% 0.28/0.47 ! [R2: b > b > $o,R3: ( d > d ) > ( d > d ) > $o,R1: b > b > $o] : ( bNF_re742509149_b_d_d @ ( bNF_re1844863849_d_d_d @ R2 @ R3 ) @ ( bNF_re1412708073_b_d_d @ ( bNF_rel_fun_b_b_b_b @ R1 @ R2 ) @ ( bNF_re1844863849_d_d_d @ R1 @ R3 ) ) @ comp_b_d_d_b @ comp_b_d_d_b ) ).
% 0.28/0.47
% 0.28/0.47 % o_rsp(1)
% 0.28/0.47 thf(fact_83_o__rsp_I1_J,axiom,
% 0.28/0.47 ! [R2: b > a > $o,R3: ( d > d ) > ( c > c ) > $o,R1: b > a > $o] : ( bNF_re561231771_a_c_c @ ( bNF_re38477224_d_c_c @ R2 @ R3 ) @ ( bNF_re1342462312_a_c_c @ ( bNF_rel_fun_b_a_b_a @ R1 @ R2 ) @ ( bNF_re38477224_d_c_c @ R1 @ R3 ) ) @ comp_b_d_d_b @ comp_a_c_c_a ) ).
% 0.28/0.47
% 0.28/0.47 % o_rsp(1)
% 0.28/0.47 thf(fact_84_o__rsp_I1_J,axiom,
% 0.28/0.47 ! [R2: a > a > $o,R3: ( c > c ) > ( c > c ) > $o,R1: a > a > $o] : ( bNF_re880840541_a_c_c @ ( bNF_re1143700905_c_c_c @ R2 @ R3 ) @ ( bNF_re1691224489_a_c_c @ ( bNF_rel_fun_a_a_a_a @ R1 @ R2 ) @ ( bNF_re1143700905_c_c_c @ R1 @ R3 ) ) @ comp_a_c_c_a @ comp_a_c_c_a ) ).
% 0.28/0.47
% 0.28/0.47 % o_rsp(1)
% 0.28/0.47 thf(fact_85_o__rsp_I1_J,axiom,
% 0.28/0.47 ! [R2: a > b > $o,R3: ( c > c ) > ( d > d ) > $o,R1: a > b > $o] : ( bNF_re1062117919_b_d_d @ ( bNF_re802603882_c_d_d @ R2 @ R3 ) @ ( bNF_re1761470250_b_d_d @ ( bNF_rel_fun_a_b_a_b @ R1 @ R2 ) @ ( bNF_re802603882_c_d_d @ R1 @ R3 ) ) @ comp_a_c_c_a @ comp_b_d_d_b ) ).
% 0.28/0.47
% 0.28/0.47 % o_rsp(1)
% 0.28/0.47 thf(fact_86_o__rsp_I1_J,axiom,
% 0.28/0.47 ! [R2: ( c > c ) > ( d > d ) > $o,R3: ( c > c ) > ( d > d ) > $o,R1: a > b > $o] : ( bNF_re141854397_b_d_d @ ( bNF_re2078100341_c_d_d @ R2 @ R3 ) @ ( bNF_re692482399_b_d_d @ ( bNF_re802603882_c_d_d @ R1 @ R2 ) @ ( bNF_re802603882_c_d_d @ R1 @ R3 ) ) @ comp_c_c_c_c_a @ comp_d_d_d_d_b ) ).
% 0.28/0.47
% 0.28/0.47 % o_rsp(1)
% 0.28/0.47 thf(fact_87_o__rsp_I1_J,axiom,
% 0.28/0.47 ! [R2: b > b > $o,R3: b > b > $o,R1: b > b > $o] : ( bNF_re1222471293_b_b_b @ ( bNF_rel_fun_b_b_b_b @ R2 @ R3 ) @ ( bNF_re2075418869_b_b_b @ ( bNF_rel_fun_b_b_b_b @ R1 @ R2 ) @ ( bNF_rel_fun_b_b_b_b @ R1 @ R3 ) ) @ comp_b_b_b @ comp_b_b_b ) ).
% 0.28/0.47
% 0.28/0.47 % o_rsp(1)
% 0.28/0.47 thf(fact_88_o__rsp_I1_J,axiom,
% 0.28/0.47 ! [R2: b > a > $o,R3: b > a > $o,R1: b > a > $o] : ( bNF_re1645058365_a_a_a @ ( bNF_rel_fun_b_a_b_a @ R2 @ R3 ) @ ( bNF_re310361461_b_a_a @ ( bNF_rel_fun_b_a_b_a @ R1 @ R2 ) @ ( bNF_rel_fun_b_a_b_a @ R1 @ R3 ) ) @ comp_b_b_b @ comp_a_a_a ) ).
% 0.28/0.47
% 0.28/0.47 % o_rsp(1)
% 0.28/0.47 thf(fact_89_o__rsp_I1_J,axiom,
% 0.28/0.47 ! [R2: a > b > $o,R3: a > a > $o,R1: a > a > $o] : ( bNF_re539937469_b_a_a @ ( bNF_rel_fun_a_b_a_a @ R2 @ R3 ) @ ( bNF_re857382262_a_a_a @ ( bNF_rel_fun_a_a_a_b @ R1 @ R2 ) @ ( bNF_rel_fun_a_a_a_a @ R1 @ R3 ) ) @ comp_a_a_a @ comp_b_a_a ) ).
% 0.28/0.47
% 0.28/0.47 % o_rsp(1)
% 0.28/0.47 thf(fact_90_o__rsp_I1_J,axiom,
% 0.28/0.47 ! [R2: a > b > $o,R3: a > b > $o,R1: a > b > $o] : ( bNF_re835672381_b_b_b @ ( bNF_rel_fun_a_b_a_b @ R2 @ R3 ) @ ( bNF_re1307884917_a_b_b @ ( bNF_rel_fun_a_b_a_b @ R1 @ R2 ) @ ( bNF_rel_fun_a_b_a_b @ R1 @ R3 ) ) @ comp_a_a_a @ comp_b_b_b ) ).
% 0.28/0.47
% 0.28/0.47 % o_rsp(1)
% 0.28/0.47 thf(fact_91_fun_Omap__transfer,axiom,
% 0.28/0.47 ! [Rb: b > b > $o,Sd: ( d > d ) > ( d > d ) > $o] :
% 0.28/0.47 ( bNF_re742509149_b_d_d @ ( bNF_re1844863849_d_d_d @ Rb @ Sd )
% 0.28/0.47 @ ( bNF_re1412708073_b_d_d
% 0.28/0.47 @ ( bNF_rel_fun_b_b_b_b
% 0.28/0.47 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 0.28/0.47 @ Rb )
% 0.28/0.47 @ ( bNF_re1844863849_d_d_d
% 0.28/0.47 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 0.28/0.47 @ Sd ) )
% 0.28/0.47 @ comp_b_d_d_b
% 0.28/0.47 @ comp_b_d_d_b ) ).
% 0.28/0.47
% 0.28/0.47 % fun.map_transfer
% 0.28/0.47 thf(fact_92_fun_Omap__transfer,axiom,
% 0.28/0.47 ! [Rb: a > a > $o,Sd: ( c > c ) > ( c > c ) > $o] :
% 0.28/0.47 ( bNF_re880840541_a_c_c @ ( bNF_re1143700905_c_c_c @ Rb @ Sd )
% 0.28/0.47 @ ( bNF_re1691224489_a_c_c
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Rb )
% 0.28/0.47 @ ( bNF_re1143700905_c_c_c
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sd ) )
% 0.28/0.47 @ comp_a_c_c_a
% 0.28/0.47 @ comp_a_c_c_a ) ).
% 0.28/0.47
% 0.28/0.47 % fun.map_transfer
% 0.28/0.47 thf(fact_93_fun_Omap__transfer,axiom,
% 0.28/0.47 ! [Rb: a > b > $o,Sd: ( c > c ) > ( d > d ) > $o] :
% 0.28/0.47 ( bNF_re1160226589_b_d_d @ ( bNF_re802603882_c_d_d @ Rb @ Sd )
% 0.28/0.47 @ ( bNF_re1661760168_b_d_d
% 0.28/0.47 @ ( bNF_rel_fun_b_b_a_b
% 0.28/0.47 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 0.28/0.47 @ Rb )
% 0.28/0.47 @ ( bNF_re417075625_c_d_d
% 0.28/0.47 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 0.28/0.47 @ Sd ) )
% 0.28/0.47 @ comp_a_c_c_b
% 0.28/0.47 @ comp_b_d_d_b ) ).
% 0.28/0.47
% 0.28/0.47 % fun.map_transfer
% 0.28/0.47 thf(fact_94_fun_Omap__transfer,axiom,
% 0.28/0.47 ! [Rb: a > b > $o,Sd: ( c > c ) > ( d > d ) > $o] :
% 0.28/0.47 ( bNF_re631104669_a_d_d @ ( bNF_re802603882_c_d_d @ Rb @ Sd )
% 0.28/0.47 @ ( bNF_re1787520874_a_d_d
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_b
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Rb )
% 0.28/0.47 @ ( bNF_re1979731817_c_d_d
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sd ) )
% 0.28/0.47 @ comp_a_c_c_a
% 0.28/0.47 @ comp_b_d_d_a ) ).
% 0.28/0.47
% 0.28/0.47 % fun.map_transfer
% 0.28/0.47 thf(fact_95_fun_Omap__transfer,axiom,
% 0.28/0.47 ! [Rb: b > b > $o,Sd: b > b > $o] :
% 0.28/0.47 ( bNF_re1222471293_b_b_b @ ( bNF_rel_fun_b_b_b_b @ Rb @ Sd )
% 0.28/0.47 @ ( bNF_re2075418869_b_b_b
% 0.28/0.47 @ ( bNF_rel_fun_b_b_b_b
% 0.28/0.47 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 0.28/0.47 @ Rb )
% 0.28/0.47 @ ( bNF_rel_fun_b_b_b_b
% 0.28/0.47 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 0.28/0.47 @ Sd ) )
% 0.28/0.47 @ comp_b_b_b
% 0.28/0.47 @ comp_b_b_b ) ).
% 0.28/0.47
% 0.28/0.47 % fun.map_transfer
% 0.28/0.47 thf(fact_96_fun_Omap__transfer,axiom,
% 0.28/0.47 ! [Rb: a > b > $o,Sd: a > a > $o] :
% 0.28/0.47 ( bNF_re539937469_b_a_a @ ( bNF_rel_fun_a_b_a_a @ Rb @ Sd )
% 0.28/0.47 @ ( bNF_re857382262_a_a_a
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_b
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Rb )
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sd ) )
% 0.28/0.47 @ comp_a_a_a
% 0.28/0.47 @ comp_b_a_a ) ).
% 0.28/0.47
% 0.28/0.47 % fun.map_transfer
% 0.28/0.47 thf(fact_97_fun_Omap__transfer,axiom,
% 0.28/0.47 ! [Rb: a > b > $o,Sd: a > b > $o] :
% 0.28/0.47 ( bNF_re774352699_b_b_b @ ( bNF_rel_fun_a_b_a_b @ Rb @ Sd )
% 0.28/0.47 @ ( bNF_re668686835_a_b_b
% 0.28/0.47 @ ( bNF_rel_fun_b_b_a_b
% 0.28/0.47 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 0.28/0.47 @ Rb )
% 0.28/0.47 @ ( bNF_rel_fun_b_b_a_b
% 0.28/0.47 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 0.28/0.47 @ Sd ) )
% 0.28/0.47 @ comp_a_a_b
% 0.28/0.47 @ comp_b_b_b ) ).
% 0.28/0.47
% 0.28/0.47 % fun.map_transfer
% 0.28/0.47 thf(fact_98_fun_Omap__transfer,axiom,
% 0.28/0.47 ! [Rb: a > b > $o,Sd: a > b > $o] :
% 0.28/0.47 ( bNF_re796114495_b_a_b @ ( bNF_rel_fun_a_b_a_b @ Rb @ Sd )
% 0.28/0.47 @ ( bNF_re865643767_a_a_b
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_b
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Rb )
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_b
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sd ) )
% 0.28/0.47 @ comp_a_a_a
% 0.28/0.47 @ comp_b_b_a ) ).
% 0.28/0.47
% 0.28/0.47 % fun.map_transfer
% 0.28/0.47 thf(fact_99_fun_Omap__transfer,axiom,
% 0.28/0.47 ! [Rb: a > a > $o,Sd: a > b > $o] :
% 0.28/0.47 ( bNF_re1514436479_a_a_b @ ( bNF_rel_fun_a_a_a_b @ Rb @ Sd )
% 0.28/0.47 @ ( bNF_re1698572662_a_a_b
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Rb )
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_b
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sd ) )
% 0.28/0.47 @ comp_a_a_a
% 0.28/0.47 @ comp_a_b_a ) ).
% 0.28/0.47
% 0.28/0.47 % fun.map_transfer
% 0.28/0.47 thf(fact_100_fun_Omap__transfer,axiom,
% 0.28/0.47 ! [Rb: a > a > $o,Sd: a > a > $o] :
% 0.28/0.47 ( bNF_re1258259453_a_a_a @ ( bNF_rel_fun_a_a_a_a @ Rb @ Sd )
% 0.28/0.47 @ ( bNF_re1690311157_a_a_a
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Rb )
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sd ) )
% 0.28/0.47 @ comp_a_a_a
% 0.28/0.47 @ comp_a_a_a ) ).
% 0.28/0.47
% 0.28/0.47 % fun.map_transfer
% 0.28/0.47 thf(fact_101_comp__transfer,axiom,
% 0.28/0.47 ! [B: c > d > $o,C: c > d > $o,A: c > d > $o] : ( bNF_re764096061_d_d_d @ ( bNF_rel_fun_c_d_c_d @ B @ C ) @ ( bNF_re2078100341_c_d_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) @ ( bNF_rel_fun_c_d_c_d @ A @ C ) ) @ comp_c_c_c @ comp_d_d_d ) ).
% 0.28/0.47
% 0.28/0.47 % comp_transfer
% 0.28/0.47 thf(fact_102_comp__transfer,axiom,
% 0.28/0.47 ! [B: b > b > $o,C: ( d > d ) > ( d > d ) > $o,A: b > b > $o] : ( bNF_re742509149_b_d_d @ ( bNF_re1844863849_d_d_d @ B @ C ) @ ( bNF_re1412708073_b_d_d @ ( bNF_rel_fun_b_b_b_b @ A @ B ) @ ( bNF_re1844863849_d_d_d @ A @ C ) ) @ comp_b_d_d_b @ comp_b_d_d_b ) ).
% 0.28/0.47
% 0.28/0.47 % comp_transfer
% 0.28/0.47 thf(fact_103_comp__transfer,axiom,
% 0.28/0.47 ! [B: b > a > $o,C: ( d > d ) > ( c > c ) > $o,A: b > a > $o] : ( bNF_re561231771_a_c_c @ ( bNF_re38477224_d_c_c @ B @ C ) @ ( bNF_re1342462312_a_c_c @ ( bNF_rel_fun_b_a_b_a @ A @ B ) @ ( bNF_re38477224_d_c_c @ A @ C ) ) @ comp_b_d_d_b @ comp_a_c_c_a ) ).
% 0.28/0.47
% 0.28/0.47 % comp_transfer
% 0.28/0.47 thf(fact_104_comp__transfer,axiom,
% 0.28/0.47 ! [B: a > a > $o,C: ( c > c ) > ( c > c ) > $o,A: a > a > $o] : ( bNF_re880840541_a_c_c @ ( bNF_re1143700905_c_c_c @ B @ C ) @ ( bNF_re1691224489_a_c_c @ ( bNF_rel_fun_a_a_a_a @ A @ B ) @ ( bNF_re1143700905_c_c_c @ A @ C ) ) @ comp_a_c_c_a @ comp_a_c_c_a ) ).
% 0.28/0.47
% 0.28/0.47 % comp_transfer
% 0.28/0.47 thf(fact_105_comp__transfer,axiom,
% 0.28/0.47 ! [B: a > b > $o,C: ( c > c ) > ( d > d ) > $o,A: a > b > $o] : ( bNF_re1062117919_b_d_d @ ( bNF_re802603882_c_d_d @ B @ C ) @ ( bNF_re1761470250_b_d_d @ ( bNF_rel_fun_a_b_a_b @ A @ B ) @ ( bNF_re802603882_c_d_d @ A @ C ) ) @ comp_a_c_c_a @ comp_b_d_d_b ) ).
% 0.28/0.47
% 0.28/0.47 % comp_transfer
% 0.28/0.47 thf(fact_106_comp__transfer,axiom,
% 0.28/0.47 ! [B: ( c > c ) > ( d > d ) > $o,C: ( c > c ) > ( d > d ) > $o,A: a > b > $o] : ( bNF_re141854397_b_d_d @ ( bNF_re2078100341_c_d_d @ B @ C ) @ ( bNF_re692482399_b_d_d @ ( bNF_re802603882_c_d_d @ A @ B ) @ ( bNF_re802603882_c_d_d @ A @ C ) ) @ comp_c_c_c_c_a @ comp_d_d_d_d_b ) ).
% 0.28/0.47
% 0.28/0.47 % comp_transfer
% 0.28/0.47 thf(fact_107_comp__transfer,axiom,
% 0.28/0.47 ! [B: b > b > $o,C: b > b > $o,A: b > b > $o] : ( bNF_re1222471293_b_b_b @ ( bNF_rel_fun_b_b_b_b @ B @ C ) @ ( bNF_re2075418869_b_b_b @ ( bNF_rel_fun_b_b_b_b @ A @ B ) @ ( bNF_rel_fun_b_b_b_b @ A @ C ) ) @ comp_b_b_b @ comp_b_b_b ) ).
% 0.28/0.47
% 0.28/0.47 % comp_transfer
% 0.28/0.47 thf(fact_108_comp__transfer,axiom,
% 0.28/0.47 ! [B: b > a > $o,C: b > a > $o,A: b > a > $o] : ( bNF_re1645058365_a_a_a @ ( bNF_rel_fun_b_a_b_a @ B @ C ) @ ( bNF_re310361461_b_a_a @ ( bNF_rel_fun_b_a_b_a @ A @ B ) @ ( bNF_rel_fun_b_a_b_a @ A @ C ) ) @ comp_b_b_b @ comp_a_a_a ) ).
% 0.28/0.47
% 0.28/0.47 % comp_transfer
% 0.28/0.47 thf(fact_109_comp__transfer,axiom,
% 0.28/0.47 ! [B: a > b > $o,C: a > a > $o,A: a > a > $o] : ( bNF_re539937469_b_a_a @ ( bNF_rel_fun_a_b_a_a @ B @ C ) @ ( bNF_re857382262_a_a_a @ ( bNF_rel_fun_a_a_a_b @ A @ B ) @ ( bNF_rel_fun_a_a_a_a @ A @ C ) ) @ comp_a_a_a @ comp_b_a_a ) ).
% 0.28/0.47
% 0.28/0.47 % comp_transfer
% 0.28/0.47 thf(fact_110_comp__transfer,axiom,
% 0.28/0.47 ! [B: a > b > $o,C: a > b > $o,A: a > b > $o] : ( bNF_re835672381_b_b_b @ ( bNF_rel_fun_a_b_a_b @ B @ C ) @ ( bNF_re1307884917_a_b_b @ ( bNF_rel_fun_a_b_a_b @ A @ B ) @ ( bNF_rel_fun_a_b_a_b @ A @ C ) ) @ comp_a_a_a @ comp_b_b_b ) ).
% 0.28/0.47
% 0.28/0.47 % comp_transfer
% 0.28/0.47 thf(fact_111_comp__fun__idem_Ointro,axiom,
% 0.28/0.47 ! [F: a > c > c] :
% 0.28/0.47 ( ( finite746615251te_a_c @ F )
% 0.28/0.47 => ( ( finite19304177ms_a_c @ F )
% 0.28/0.47 => ( finite40241358em_a_c @ F ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_idem.intro
% 0.28/0.47 thf(fact_112_comp__fun__idem_Ointro,axiom,
% 0.28/0.47 ! [F: b > d > d] :
% 0.28/0.47 ( ( finite1574384659te_b_d @ F )
% 0.28/0.47 => ( ( finite847073585ms_b_d @ F )
% 0.28/0.47 => ( finite868010766em_b_d @ F ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_idem.intro
% 0.28/0.47 thf(fact_113_comp__fun__idem__def,axiom,
% 0.28/0.47 ( finite40241358em_a_c
% 0.28/0.47 = ( ^ [F2: a > c > c] :
% 0.28/0.47 ( ( finite746615251te_a_c @ F2 )
% 0.28/0.47 & ( finite19304177ms_a_c @ F2 ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_idem_def
% 0.28/0.47 thf(fact_114_comp__fun__idem__def,axiom,
% 0.28/0.47 ( finite868010766em_b_d
% 0.28/0.47 = ( ^ [F2: b > d > d] :
% 0.28/0.47 ( ( finite1574384659te_b_d @ F2 )
% 0.28/0.47 & ( finite847073585ms_b_d @ F2 ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_idem_def
% 0.28/0.47 thf(fact_115_comp__fun__idem_Oaxioms_I2_J,axiom,
% 0.28/0.47 ! [F: b > d > d] :
% 0.28/0.47 ( ( finite868010766em_b_d @ F )
% 0.28/0.47 => ( finite847073585ms_b_d @ F ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_idem.axioms(2)
% 0.28/0.47 thf(fact_116_comp__fun__idem_Oaxioms_I2_J,axiom,
% 0.28/0.47 ! [F: a > c > c] :
% 0.28/0.47 ( ( finite40241358em_a_c @ F )
% 0.28/0.47 => ( finite19304177ms_a_c @ F ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_idem.axioms(2)
% 0.28/0.47 thf(fact_117_comp__fun__idem__axioms_Ointro,axiom,
% 0.28/0.47 ! [F: b > d > d] :
% 0.28/0.47 ( ! [X2: b] :
% 0.28/0.47 ( ( comp_d_d_d @ ( F @ X2 ) @ ( F @ X2 ) )
% 0.28/0.47 = ( F @ X2 ) )
% 0.28/0.47 => ( finite847073585ms_b_d @ F ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_idem_axioms.intro
% 0.28/0.47 thf(fact_118_comp__fun__idem__axioms_Ointro,axiom,
% 0.28/0.47 ! [F: a > c > c] :
% 0.28/0.47 ( ! [X2: a] :
% 0.28/0.47 ( ( comp_c_c_c @ ( F @ X2 ) @ ( F @ X2 ) )
% 0.28/0.47 = ( F @ X2 ) )
% 0.28/0.47 => ( finite19304177ms_a_c @ F ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_idem_axioms.intro
% 0.28/0.47 thf(fact_119_comp__fun__idem__axioms__def,axiom,
% 0.28/0.47 ( finite847073585ms_b_d
% 0.28/0.47 = ( ^ [F2: b > d > d] :
% 0.28/0.47 ! [X3: b] :
% 0.28/0.47 ( ( comp_d_d_d @ ( F2 @ X3 ) @ ( F2 @ X3 ) )
% 0.28/0.47 = ( F2 @ X3 ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_idem_axioms_def
% 0.28/0.47 thf(fact_120_comp__fun__idem__axioms__def,axiom,
% 0.28/0.47 ( finite19304177ms_a_c
% 0.28/0.47 = ( ^ [F2: a > c > c] :
% 0.28/0.47 ! [X3: a] :
% 0.28/0.47 ( ( comp_c_c_c @ ( F2 @ X3 ) @ ( F2 @ X3 ) )
% 0.28/0.47 = ( F2 @ X3 ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % comp_fun_idem_axioms_def
% 0.28/0.47 thf(fact_121_fun_Orel__transfer,axiom,
% 0.28/0.47 ! [Sa: a > b > $o,Sc: a > b > $o] :
% 0.28/0.47 ( bNF_re1071888283_a_b_o
% 0.28/0.47 @ ( bNF_re418251421_o_b_o @ Sa
% 0.28/0.47 @ ( bNF_rel_fun_a_b_o_o @ Sc
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ ( bNF_re1217999849_a_b_o
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_b
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sa )
% 0.28/0.47 @ ( bNF_re1463366826_b_o_o
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_b
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sc )
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 0.28/0.47 @ ( bNF_rel_fun_a_a_b_b
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fun.rel_transfer
% 0.28/0.47 thf(fact_122_fun_Orel__transfer,axiom,
% 0.28/0.47 ! [Sa: a > b > $o,Sc: a > a > $o] :
% 0.28/0.47 ( bNF_re1310167325_a_a_o
% 0.28/0.47 @ ( bNF_re1977372894_o_a_o @ Sa
% 0.28/0.47 @ ( bNF_rel_fun_a_a_o_o @ Sc
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ ( bNF_re390230442_a_a_o
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_b
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sa )
% 0.28/0.47 @ ( bNF_re134330537_a_o_o
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sc )
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 0.28/0.47 @ ( bNF_rel_fun_a_a_b_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fun.rel_transfer
% 0.28/0.47 thf(fact_123_fun_Orel__transfer,axiom,
% 0.28/0.47 ! [Sa: a > a > $o,Sc: b > b > $o] :
% 0.28/0.47 ( bNF_re2141181021_a_b_o
% 0.28/0.47 @ ( bNF_re250254555_o_b_o @ Sa
% 0.28/0.47 @ ( bNF_rel_fun_b_b_o_o @ Sc
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ ( bNF_re1812319081_a_b_o
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sa )
% 0.28/0.47 @ ( bNF_re1088547499_b_o_o
% 0.28/0.47 @ ( bNF_rel_fun_a_a_b_b
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sc )
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_b
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_b
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fun.rel_transfer
% 0.28/0.47 thf(fact_124_fun_Orel__transfer,axiom,
% 0.28/0.47 ! [Sa: a > a > $o,Sc: b > a > $o] :
% 0.28/0.47 ( bNF_re231976415_a_a_o
% 0.28/0.47 @ ( bNF_re1809376028_o_a_o @ Sa
% 0.28/0.47 @ ( bNF_rel_fun_b_a_o_o @ Sc
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ ( bNF_re984549674_a_a_o
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sa )
% 0.28/0.47 @ ( bNF_re1906994858_a_o_o
% 0.28/0.47 @ ( bNF_rel_fun_a_a_b_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sc )
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_b
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fun.rel_transfer
% 0.28/0.47 thf(fact_125_fun_Orel__transfer,axiom,
% 0.28/0.47 ! [Sa: a > a > $o,Sc: a > b > $o] :
% 0.28/0.47 ( bNF_re1165460699_a_b_o
% 0.28/0.47 @ ( bNF_re131001756_o_b_o @ Sa
% 0.28/0.47 @ ( bNF_rel_fun_a_b_o_o @ Sc
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ ( bNF_re581117672_a_b_o
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sa )
% 0.28/0.47 @ ( bNF_re1463366826_b_o_o
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_b
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sc )
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_b
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fun.rel_transfer
% 0.28/0.47 thf(fact_126_fun_Orel__transfer,axiom,
% 0.28/0.47 ! [Sa: a > a > $o,Sc: a > a > $o] :
% 0.28/0.47 ( bNF_re1403739741_a_a_o
% 0.28/0.47 @ ( bNF_re1690123229_o_a_o @ Sa
% 0.28/0.47 @ ( bNF_rel_fun_a_a_o_o @ Sc
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ ( bNF_re1900831913_a_a_o
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sa )
% 0.28/0.47 @ ( bNF_re134330537_a_o_o
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sc )
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fun.rel_transfer
% 0.28/0.47 thf(fact_127_fun_Orel__transfer,axiom,
% 0.28/0.47 ! [Sa: ( c > c ) > a > $o,Sc: ( d > d ) > b > $o] :
% 0.28/0.47 ( bNF_re1133483099_a_b_o
% 0.28/0.47 @ ( bNF_re1895239662_o_b_o @ Sa
% 0.28/0.47 @ ( bNF_re199323387_b_o_o @ Sc
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ ( bNF_re332737826_a_b_o
% 0.28/0.47 @ ( bNF_re950444090_c_c_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sa )
% 0.28/0.47 @ ( bNF_re802276445_b_o_o
% 0.28/0.47 @ ( bNF_re2038021755_d_d_b
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sc )
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ ( bNF_re1979731817_c_d_d
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_b
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fun.rel_transfer
% 0.28/0.47 thf(fact_128_fun_Orel__transfer,axiom,
% 0.28/0.47 ! [Sa: ( c > c ) > a > $o,Sc: ( d > d ) > a > $o] :
% 0.28/0.47 ( bNF_re145798749_a_a_o
% 0.28/0.47 @ ( bNF_re1306877487_o_a_o @ Sa
% 0.28/0.47 @ ( bNF_re991543930_a_o_o @ Sc
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ ( bNF_re1652452067_a_a_o
% 0.28/0.47 @ ( bNF_re950444090_c_c_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sa )
% 0.28/0.47 @ ( bNF_re1620723804_a_o_o
% 0.28/0.47 @ ( bNF_re2038021754_d_d_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sc )
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ ( bNF_re1979731817_c_d_d
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fun.rel_transfer
% 0.28/0.47 thf(fact_129_fun_Orel__transfer,axiom,
% 0.28/0.47 ! [Sa: ( c > c ) > a > $o,Sc: ( c > c ) > b > $o] :
% 0.28/0.47 ( bNF_re708047067_a_b_o
% 0.28/0.47 @ ( bNF_re2038641070_o_b_o @ Sa
% 0.28/0.47 @ ( bNF_re90976443_b_o_o @ Sc
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ ( bNF_re364411746_a_b_o
% 0.28/0.47 @ ( bNF_re950444090_c_c_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sa )
% 0.28/0.47 @ ( bNF_re1256092317_b_o_o
% 0.28/0.47 @ ( bNF_re950444091_c_c_b
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sc )
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ ( bNF_re1143700905_c_c_c
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_b
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fun.rel_transfer
% 0.28/0.47 thf(fact_130_fun_Orel__transfer,axiom,
% 0.28/0.47 ! [Sa: ( c > c ) > a > $o,Sc: ( c > c ) > a > $o] :
% 0.28/0.47 ( bNF_re1867846365_a_a_o
% 0.28/0.47 @ ( bNF_re1450278895_o_a_o @ Sa
% 0.28/0.47 @ ( bNF_re883196986_a_o_o @ Sc
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ ( bNF_re1684125987_a_a_o
% 0.28/0.47 @ ( bNF_re950444090_c_c_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sa )
% 0.28/0.47 @ ( bNF_re2074539676_a_o_o
% 0.28/0.47 @ ( bNF_re950444090_c_c_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Sc )
% 0.28/0.47 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.47 @ ( bNF_re1143700905_c_c_c
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 0.28/0.47 @ ( bNF_rel_fun_a_a_a_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fun.rel_transfer
% 0.28/0.47 thf(fact_131_fun_Orel__refl,axiom,
% 0.28/0.47 ! [Ra: ( c > c ) > ( c > c ) > $o,X: a > c > c] :
% 0.28/0.47 ( ! [X2: c > c] : ( Ra @ X2 @ X2 )
% 0.28/0.47 => ( bNF_re1143700905_c_c_c
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Ra
% 0.28/0.47 @ X
% 0.28/0.47 @ X ) ) ).
% 0.28/0.47
% 0.28/0.47 % fun.rel_refl
% 0.28/0.47 thf(fact_132_fun_Orel__refl,axiom,
% 0.28/0.47 ! [Ra: a > a > $o,X: a > a] :
% 0.28/0.47 ( ! [X2: a] : ( Ra @ X2 @ X2 )
% 0.28/0.47 => ( bNF_rel_fun_a_a_a_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ Ra
% 0.28/0.47 @ X
% 0.28/0.47 @ X ) ) ).
% 0.28/0.47
% 0.28/0.47 % fun.rel_refl
% 0.28/0.47 thf(fact_133_fun_Orel__eq,axiom,
% 0.28/0.47 ( ( bNF_re1143700905_c_c_c
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ ^ [Y4: c > c,Z2: c > c] : ( Y4 = Z2 ) )
% 0.28/0.47 = ( ^ [Y4: a > c > c,Z2: a > c > c] : ( Y4 = Z2 ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fun.rel_eq
% 0.28/0.47 thf(fact_134_fun_Orel__eq,axiom,
% 0.28/0.47 ( ( bNF_rel_fun_a_a_a_a
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.47 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 0.28/0.47 = ( ^ [Y4: a > a,Z2: a > a] : ( Y4 = Z2 ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % fun.rel_eq
% 0.28/0.47 thf(fact_135_rel__fun__mono_H,axiom,
% 0.28/0.47 ! [Y5: a > b > $o,X4: a > b > $o,A: a > b > $o,B: a > b > $o,F: a > a,G: b > b] :
% 0.28/0.47 ( ! [X2: a,Y2: b] :
% 0.28/0.47 ( ( Y5 @ X2 @ Y2 )
% 0.28/0.47 => ( X4 @ X2 @ Y2 ) )
% 0.28/0.47 => ( ! [X2: a,Y2: b] :
% 0.28/0.47 ( ( A @ X2 @ Y2 )
% 0.28/0.47 => ( B @ X2 @ Y2 ) )
% 0.28/0.47 => ( ( bNF_rel_fun_a_b_a_b @ X4 @ A @ F @ G )
% 0.28/0.47 => ( bNF_rel_fun_a_b_a_b @ Y5 @ B @ F @ G ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_fun_mono'
% 0.28/0.47 thf(fact_136_rel__fun__mono_H,axiom,
% 0.28/0.47 ! [Y5: a > a > $o,X4: a > a > $o,A: ( c > c ) > ( d > d ) > $o,B: ( c > c ) > ( d > d ) > $o,F: a > c > c,G: a > d > d] :
% 0.28/0.47 ( ! [X2: a,Y2: a] :
% 0.28/0.47 ( ( Y5 @ X2 @ Y2 )
% 0.28/0.47 => ( X4 @ X2 @ Y2 ) )
% 0.28/0.47 => ( ! [X2: c > c,Y2: d > d] :
% 0.28/0.47 ( ( A @ X2 @ Y2 )
% 0.28/0.47 => ( B @ X2 @ Y2 ) )
% 0.28/0.47 => ( ( bNF_re1979731817_c_d_d @ X4 @ A @ F @ G )
% 0.28/0.47 => ( bNF_re1979731817_c_d_d @ Y5 @ B @ F @ G ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_fun_mono'
% 0.28/0.47 thf(fact_137_rel__fun__mono_H,axiom,
% 0.28/0.47 ! [Y5: a > a > $o,X4: a > a > $o,A: ( c > c ) > ( c > c ) > $o,B: ( c > c ) > ( c > c ) > $o,F: a > c > c,G: a > c > c] :
% 0.28/0.47 ( ! [X2: a,Y2: a] :
% 0.28/0.47 ( ( Y5 @ X2 @ Y2 )
% 0.28/0.47 => ( X4 @ X2 @ Y2 ) )
% 0.28/0.47 => ( ! [X2: c > c,Y2: c > c] :
% 0.28/0.47 ( ( A @ X2 @ Y2 )
% 0.28/0.47 => ( B @ X2 @ Y2 ) )
% 0.28/0.47 => ( ( bNF_re1143700905_c_c_c @ X4 @ A @ F @ G )
% 0.28/0.47 => ( bNF_re1143700905_c_c_c @ Y5 @ B @ F @ G ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_fun_mono'
% 0.28/0.47 thf(fact_138_rel__fun__mono_H,axiom,
% 0.28/0.47 ! [Y5: a > a > $o,X4: a > a > $o,A: a > b > $o,B: a > b > $o,F: a > a,G: a > b] :
% 0.28/0.47 ( ! [X2: a,Y2: a] :
% 0.28/0.47 ( ( Y5 @ X2 @ Y2 )
% 0.28/0.47 => ( X4 @ X2 @ Y2 ) )
% 0.28/0.47 => ( ! [X2: a,Y2: b] :
% 0.28/0.47 ( ( A @ X2 @ Y2 )
% 0.28/0.47 => ( B @ X2 @ Y2 ) )
% 0.28/0.47 => ( ( bNF_rel_fun_a_a_a_b @ X4 @ A @ F @ G )
% 0.28/0.47 => ( bNF_rel_fun_a_a_a_b @ Y5 @ B @ F @ G ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_fun_mono'
% 0.28/0.47 thf(fact_139_rel__fun__mono_H,axiom,
% 0.28/0.47 ! [Y5: a > a > $o,X4: a > a > $o,A: a > a > $o,B: a > a > $o,F: a > a,G: a > a] :
% 0.28/0.47 ( ! [X2: a,Y2: a] :
% 0.28/0.47 ( ( Y5 @ X2 @ Y2 )
% 0.28/0.47 => ( X4 @ X2 @ Y2 ) )
% 0.28/0.47 => ( ! [X2: a,Y2: a] :
% 0.28/0.47 ( ( A @ X2 @ Y2 )
% 0.28/0.47 => ( B @ X2 @ Y2 ) )
% 0.28/0.47 => ( ( bNF_rel_fun_a_a_a_a @ X4 @ A @ F @ G )
% 0.28/0.47 => ( bNF_rel_fun_a_a_a_a @ Y5 @ B @ F @ G ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_fun_mono'
% 0.28/0.47 thf(fact_140_rel__fun__mono_H,axiom,
% 0.28/0.47 ! [Y5: a > b > $o,X4: a > b > $o,A: ( c > c ) > ( d > d ) > $o,B: ( c > c ) > ( d > d ) > $o,F: a > c > c,G: b > d > d] :
% 0.28/0.47 ( ! [X2: a,Y2: b] :
% 0.28/0.47 ( ( Y5 @ X2 @ Y2 )
% 0.28/0.47 => ( X4 @ X2 @ Y2 ) )
% 0.28/0.47 => ( ! [X2: c > c,Y2: d > d] :
% 0.28/0.47 ( ( A @ X2 @ Y2 )
% 0.28/0.47 => ( B @ X2 @ Y2 ) )
% 0.28/0.47 => ( ( bNF_re802603882_c_d_d @ X4 @ A @ F @ G )
% 0.28/0.47 => ( bNF_re802603882_c_d_d @ Y5 @ B @ F @ G ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_fun_mono'
% 0.28/0.47 thf(fact_141_rel__fun__mono_H,axiom,
% 0.28/0.47 ! [Y5: c > d > $o,X4: c > d > $o,A: c > d > $o,B: c > d > $o,F: c > c,G: d > d] :
% 0.28/0.47 ( ! [X2: c,Y2: d] :
% 0.28/0.47 ( ( Y5 @ X2 @ Y2 )
% 0.28/0.47 => ( X4 @ X2 @ Y2 ) )
% 0.28/0.47 => ( ! [X2: c,Y2: d] :
% 0.28/0.47 ( ( A @ X2 @ Y2 )
% 0.28/0.47 => ( B @ X2 @ Y2 ) )
% 0.28/0.47 => ( ( bNF_rel_fun_c_d_c_d @ X4 @ A @ F @ G )
% 0.28/0.47 => ( bNF_rel_fun_c_d_c_d @ Y5 @ B @ F @ G ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_fun_mono'
% 0.28/0.47 thf(fact_142_rel__fun__mono,axiom,
% 0.28/0.47 ! [X4: a > b > $o,A: a > b > $o,F: a > a,G: b > b,Y5: a > b > $o,B: a > b > $o] :
% 0.28/0.47 ( ( bNF_rel_fun_a_b_a_b @ X4 @ A @ F @ G )
% 0.28/0.47 => ( ! [X2: a,Y2: b] :
% 0.28/0.47 ( ( Y5 @ X2 @ Y2 )
% 0.28/0.47 => ( X4 @ X2 @ Y2 ) )
% 0.28/0.47 => ( ! [X2: a,Y2: b] :
% 0.28/0.47 ( ( A @ X2 @ Y2 )
% 0.28/0.47 => ( B @ X2 @ Y2 ) )
% 0.28/0.47 => ( bNF_rel_fun_a_b_a_b @ Y5 @ B @ F @ G ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_fun_mono
% 0.28/0.47 thf(fact_143_rel__fun__mono,axiom,
% 0.28/0.47 ! [X4: a > a > $o,A: ( c > c ) > ( d > d ) > $o,F: a > c > c,G: a > d > d,Y5: a > a > $o,B: ( c > c ) > ( d > d ) > $o] :
% 0.28/0.47 ( ( bNF_re1979731817_c_d_d @ X4 @ A @ F @ G )
% 0.28/0.47 => ( ! [X2: a,Y2: a] :
% 0.28/0.47 ( ( Y5 @ X2 @ Y2 )
% 0.28/0.47 => ( X4 @ X2 @ Y2 ) )
% 0.28/0.47 => ( ! [X2: c > c,Y2: d > d] :
% 0.28/0.47 ( ( A @ X2 @ Y2 )
% 0.28/0.47 => ( B @ X2 @ Y2 ) )
% 0.28/0.47 => ( bNF_re1979731817_c_d_d @ Y5 @ B @ F @ G ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_fun_mono
% 0.28/0.47 thf(fact_144_rel__fun__mono,axiom,
% 0.28/0.47 ! [X4: a > a > $o,A: ( c > c ) > ( c > c ) > $o,F: a > c > c,G: a > c > c,Y5: a > a > $o,B: ( c > c ) > ( c > c ) > $o] :
% 0.28/0.47 ( ( bNF_re1143700905_c_c_c @ X4 @ A @ F @ G )
% 0.28/0.47 => ( ! [X2: a,Y2: a] :
% 0.28/0.47 ( ( Y5 @ X2 @ Y2 )
% 0.28/0.47 => ( X4 @ X2 @ Y2 ) )
% 0.28/0.47 => ( ! [X2: c > c,Y2: c > c] :
% 0.28/0.47 ( ( A @ X2 @ Y2 )
% 0.28/0.47 => ( B @ X2 @ Y2 ) )
% 0.28/0.47 => ( bNF_re1143700905_c_c_c @ Y5 @ B @ F @ G ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_fun_mono
% 0.28/0.47 thf(fact_145_rel__fun__mono,axiom,
% 0.28/0.47 ! [X4: a > a > $o,A: a > b > $o,F: a > a,G: a > b,Y5: a > a > $o,B: a > b > $o] :
% 0.28/0.47 ( ( bNF_rel_fun_a_a_a_b @ X4 @ A @ F @ G )
% 0.28/0.47 => ( ! [X2: a,Y2: a] :
% 0.28/0.47 ( ( Y5 @ X2 @ Y2 )
% 0.28/0.47 => ( X4 @ X2 @ Y2 ) )
% 0.28/0.47 => ( ! [X2: a,Y2: b] :
% 0.28/0.47 ( ( A @ X2 @ Y2 )
% 0.28/0.47 => ( B @ X2 @ Y2 ) )
% 0.28/0.47 => ( bNF_rel_fun_a_a_a_b @ Y5 @ B @ F @ G ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_fun_mono
% 0.28/0.47 thf(fact_146_rel__fun__mono,axiom,
% 0.28/0.47 ! [X4: a > a > $o,A: a > a > $o,F: a > a,G: a > a,Y5: a > a > $o,B: a > a > $o] :
% 0.28/0.47 ( ( bNF_rel_fun_a_a_a_a @ X4 @ A @ F @ G )
% 0.28/0.47 => ( ! [X2: a,Y2: a] :
% 0.28/0.47 ( ( Y5 @ X2 @ Y2 )
% 0.28/0.47 => ( X4 @ X2 @ Y2 ) )
% 0.28/0.47 => ( ! [X2: a,Y2: a] :
% 0.28/0.47 ( ( A @ X2 @ Y2 )
% 0.28/0.47 => ( B @ X2 @ Y2 ) )
% 0.28/0.47 => ( bNF_rel_fun_a_a_a_a @ Y5 @ B @ F @ G ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_fun_mono
% 0.28/0.47 thf(fact_147_rel__fun__mono,axiom,
% 0.28/0.47 ! [X4: a > b > $o,A: ( c > c ) > ( d > d ) > $o,F: a > c > c,G: b > d > d,Y5: a > b > $o,B: ( c > c ) > ( d > d ) > $o] :
% 0.28/0.47 ( ( bNF_re802603882_c_d_d @ X4 @ A @ F @ G )
% 0.28/0.47 => ( ! [X2: a,Y2: b] :
% 0.28/0.47 ( ( Y5 @ X2 @ Y2 )
% 0.28/0.47 => ( X4 @ X2 @ Y2 ) )
% 0.28/0.47 => ( ! [X2: c > c,Y2: d > d] :
% 0.28/0.47 ( ( A @ X2 @ Y2 )
% 0.28/0.47 => ( B @ X2 @ Y2 ) )
% 0.28/0.47 => ( bNF_re802603882_c_d_d @ Y5 @ B @ F @ G ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_fun_mono
% 0.28/0.47 thf(fact_148_rel__fun__mono,axiom,
% 0.28/0.47 ! [X4: c > d > $o,A: c > d > $o,F: c > c,G: d > d,Y5: c > d > $o,B: c > d > $o] :
% 0.28/0.47 ( ( bNF_rel_fun_c_d_c_d @ X4 @ A @ F @ G )
% 0.28/0.47 => ( ! [X2: c,Y2: d] :
% 0.28/0.47 ( ( Y5 @ X2 @ Y2 )
% 0.28/0.47 => ( X4 @ X2 @ Y2 ) )
% 0.28/0.47 => ( ! [X2: c,Y2: d] :
% 0.28/0.47 ( ( A @ X2 @ Y2 )
% 0.28/0.47 => ( B @ X2 @ Y2 ) )
% 0.28/0.47 => ( bNF_rel_fun_c_d_c_d @ Y5 @ B @ F @ G ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 % rel_fun_mono
% 0.28/0.47 thf(fact_149_let__rsp,axiom,
% 0.28/0.47 ! [R1: a > b > $o,R2: a > b > $o] :
% 0.28/0.47 ( bNF_re1730737055_b_b_b @ R1 @ ( bNF_re2087760490_b_a_b @ ( bNF_rel_fun_a_b_a_b @ R1 @ R2 ) @ R2 )
% 0.28/0.47 @ ^ [S3: a,F2: a > a] : ( F2 @ S3 )
% 0.28/0.47 @ ^ [S3: b,F2: b > b] : ( F2 @ S3 ) ) ).
% 0.28/0.47
% 0.28/0.47 % let_rsp
% 0.28/0.47 thf(fact_150_let__rsp,axiom,
% 0.28/0.47 ! [R1: a > a > $o,R2: ( c > c ) > ( d > d ) > $o] :
% 0.28/0.47 ( bNF_re1391160029_d_d_d @ R1 @ ( bNF_re1955249705_c_d_d @ ( bNF_re1979731817_c_d_d @ R1 @ R2 ) @ R2 )
% 0.28/0.47 @ ^ [S3: a,F2: a > c > c] : ( F2 @ S3 )
% 0.28/0.48 @ ^ [S3: a,F2: a > d > d] : ( F2 @ S3 ) ) ).
% 0.28/0.48
% 0.28/0.48 % let_rsp
% 0.28/0.48 thf(fact_151_let__rsp,axiom,
% 0.28/0.48 ! [R1: a > a > $o,R2: ( c > c ) > ( c > c ) > $o] :
% 0.28/0.48 ( bNF_re1482032989_c_c_c @ R1 @ ( bNF_re27458217_c_c_c @ ( bNF_re1143700905_c_c_c @ R1 @ R2 ) @ R2 )
% 0.28/0.48 @ ^ [S3: a,F2: a > c > c] : ( F2 @ S3 )
% 0.28/0.48 @ ^ [S3: a,F2: a > c > c] : ( F2 @ S3 ) ) ).
% 0.28/0.48
% 0.28/0.48 % let_rsp
% 0.28/0.48 thf(fact_152_let__rsp,axiom,
% 0.28/0.48 ! [R1: a > a > $o,R2: a > b > $o] :
% 0.28/0.48 ( bNF_re1093913501_a_b_b @ R1 @ ( bNF_re473406379_b_a_b @ ( bNF_rel_fun_a_a_a_b @ R1 @ R2 ) @ R2 )
% 0.28/0.48 @ ^ [S3: a,F2: a > a] : ( F2 @ S3 )
% 0.28/0.48 @ ^ [S3: a,F2: a > b] : ( F2 @ S3 ) ) ).
% 0.28/0.48
% 0.28/0.48 % let_rsp
% 0.28/0.48 thf(fact_153_let__rsp,axiom,
% 0.28/0.48 ! [R1: a > a > $o,R2: a > a > $o] :
% 0.28/0.48 ( bNF_re865741149_a_a_a @ R1 @ ( bNF_re571457705_a_a_a @ ( bNF_rel_fun_a_a_a_a @ R1 @ R2 ) @ R2 )
% 0.28/0.48 @ ^ [S3: a,F2: a > a] : ( F2 @ S3 )
% 0.28/0.48 @ ^ [S3: a,F2: a > a] : ( F2 @ S3 ) ) ).
% 0.28/0.48
% 0.28/0.48 % let_rsp
% 0.28/0.48 thf(fact_154_let__rsp,axiom,
% 0.28/0.48 ! [R1: a > b > $o,R2: ( c > c ) > ( d > d ) > $o] :
% 0.28/0.48 ( bNF_re1327926367_d_d_d @ R1 @ ( bNF_re84044842_c_d_d @ ( bNF_re802603882_c_d_d @ R1 @ R2 ) @ R2 )
% 0.28/0.48 @ ^ [S3: a,F2: a > c > c] : ( F2 @ S3 )
% 0.28/0.48 @ ^ [S3: b,F2: b > d > d] : ( F2 @ S3 ) ) ).
% 0.28/0.48
% 0.28/0.48 % let_rsp
% 0.28/0.48 thf(fact_155_let__rsp,axiom,
% 0.28/0.48 ! [R1: c > d > $o,R2: c > d > $o] :
% 0.28/0.48 ( bNF_re1313098655_d_d_d @ R1 @ ( bNF_re1303182826_d_c_d @ ( bNF_rel_fun_c_d_c_d @ R1 @ R2 ) @ R2 )
% 0.28/0.48 @ ^ [S3: c,F2: c > c] : ( F2 @ S3 )
% 0.28/0.48 @ ^ [S3: d,F2: d > d] : ( F2 @ S3 ) ) ).
% 0.28/0.48
% 0.28/0.48 % let_rsp
% 0.28/0.48 thf(fact_156_rel__funD,axiom,
% 0.28/0.48 ! [A: a > b > $o,B: a > b > $o,F: a > a,G: b > b,X: a,Y: b] :
% 0.28/0.48 ( ( bNF_rel_fun_a_b_a_b @ A @ B @ F @ G )
% 0.28/0.48 => ( ( A @ X @ Y )
% 0.28/0.48 => ( B @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rel_funD
% 0.28/0.48 thf(fact_157_rel__funD,axiom,
% 0.28/0.48 ! [A: a > a > $o,B: ( c > c ) > ( d > d ) > $o,F: a > c > c,G: a > d > d,X: a,Y: a] :
% 0.28/0.48 ( ( bNF_re1979731817_c_d_d @ A @ B @ F @ G )
% 0.28/0.48 => ( ( A @ X @ Y )
% 0.28/0.48 => ( B @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rel_funD
% 0.28/0.48 thf(fact_158_rel__funD,axiom,
% 0.28/0.48 ! [A: a > a > $o,B: ( c > c ) > ( c > c ) > $o,F: a > c > c,G: a > c > c,X: a,Y: a] :
% 0.28/0.48 ( ( bNF_re1143700905_c_c_c @ A @ B @ F @ G )
% 0.28/0.48 => ( ( A @ X @ Y )
% 0.28/0.48 => ( B @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rel_funD
% 0.28/0.48 thf(fact_159_rel__funD,axiom,
% 0.28/0.48 ! [A: a > a > $o,B: a > b > $o,F: a > a,G: a > b,X: a,Y: a] :
% 0.28/0.48 ( ( bNF_rel_fun_a_a_a_b @ A @ B @ F @ G )
% 0.28/0.48 => ( ( A @ X @ Y )
% 0.28/0.48 => ( B @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rel_funD
% 0.28/0.48 thf(fact_160_rel__funD,axiom,
% 0.28/0.48 ! [A: a > a > $o,B: a > a > $o,F: a > a,G: a > a,X: a,Y: a] :
% 0.28/0.48 ( ( bNF_rel_fun_a_a_a_a @ A @ B @ F @ G )
% 0.28/0.48 => ( ( A @ X @ Y )
% 0.28/0.48 => ( B @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rel_funD
% 0.28/0.48 thf(fact_161_rel__funD,axiom,
% 0.28/0.48 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o,F: a > c > c,G: b > d > d,X: a,Y: b] :
% 0.28/0.48 ( ( bNF_re802603882_c_d_d @ A @ B @ F @ G )
% 0.28/0.48 => ( ( A @ X @ Y )
% 0.28/0.48 => ( B @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rel_funD
% 0.28/0.48 thf(fact_162_rel__funD,axiom,
% 0.28/0.48 ! [A: c > d > $o,B: c > d > $o,F: c > c,G: d > d,X: c,Y: d] :
% 0.28/0.48 ( ( bNF_rel_fun_c_d_c_d @ A @ B @ F @ G )
% 0.28/0.48 => ( ( A @ X @ Y )
% 0.28/0.48 => ( B @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rel_funD
% 0.28/0.48 thf(fact_163_rewriteR__comp__comp2,axiom,
% 0.28/0.48 ! [G: b > b,H: b > b,R12: b > b,R22: b > b,F: b > d > d,L: b > d > d] :
% 0.28/0.48 ( ( ( comp_b_b_b @ G @ H )
% 0.28/0.48 = ( comp_b_b_b @ R12 @ R22 ) )
% 0.28/0.48 => ( ( ( comp_b_d_d_b @ F @ R12 )
% 0.28/0.48 = L )
% 0.28/0.48 => ( ( comp_b_d_d_b @ ( comp_b_d_d_b @ F @ G ) @ H )
% 0.28/0.48 = ( comp_b_d_d_b @ L @ R22 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteR_comp_comp2
% 0.28/0.48 thf(fact_164_rewriteR__comp__comp2,axiom,
% 0.28/0.48 ! [G: a > a,H: a > a,R12: a > a,R22: a > a,F: a > c > c,L: a > c > c] :
% 0.28/0.48 ( ( ( comp_a_a_a @ G @ H )
% 0.28/0.48 = ( comp_a_a_a @ R12 @ R22 ) )
% 0.28/0.48 => ( ( ( comp_a_c_c_a @ F @ R12 )
% 0.28/0.48 = L )
% 0.28/0.48 => ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ G ) @ H )
% 0.28/0.48 = ( comp_a_c_c_a @ L @ R22 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteR_comp_comp2
% 0.28/0.48 thf(fact_165_rewriteR__comp__comp2,axiom,
% 0.28/0.48 ! [G: b > d > d,H: b > b,R12: b > d > d,R22: b > b,F: ( d > d ) > d > d,L: b > d > d] :
% 0.28/0.48 ( ( ( comp_b_d_d_b @ G @ H )
% 0.28/0.48 = ( comp_b_d_d_b @ R12 @ R22 ) )
% 0.28/0.48 => ( ( ( comp_d_d_d_d_b @ F @ R12 )
% 0.28/0.48 = L )
% 0.28/0.48 => ( ( comp_b_d_d_b @ ( comp_d_d_d_d_b @ F @ G ) @ H )
% 0.28/0.48 = ( comp_b_d_d_b @ L @ R22 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteR_comp_comp2
% 0.28/0.48 thf(fact_166_rewriteR__comp__comp2,axiom,
% 0.28/0.48 ! [G: a > c > c,H: a > a,R12: a > c > c,R22: a > a,F: ( c > c ) > c > c,L: a > c > c] :
% 0.28/0.48 ( ( ( comp_a_c_c_a @ G @ H )
% 0.28/0.48 = ( comp_a_c_c_a @ R12 @ R22 ) )
% 0.28/0.48 => ( ( ( comp_c_c_c_c_a @ F @ R12 )
% 0.28/0.48 = L )
% 0.28/0.48 => ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ F @ G ) @ H )
% 0.28/0.48 = ( comp_a_c_c_a @ L @ R22 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteR_comp_comp2
% 0.28/0.48 thf(fact_167_rewriteR__comp__comp2,axiom,
% 0.28/0.48 ! [G: b > b,H: b > b,R12: b > b,R22: b > b,F: b > b,L: b > b] :
% 0.28/0.48 ( ( ( comp_b_b_b @ G @ H )
% 0.28/0.48 = ( comp_b_b_b @ R12 @ R22 ) )
% 0.28/0.48 => ( ( ( comp_b_b_b @ F @ R12 )
% 0.28/0.48 = L )
% 0.28/0.48 => ( ( comp_b_b_b @ ( comp_b_b_b @ F @ G ) @ H )
% 0.28/0.48 = ( comp_b_b_b @ L @ R22 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteR_comp_comp2
% 0.28/0.48 thf(fact_168_rewriteR__comp__comp2,axiom,
% 0.28/0.48 ! [G: a > a,H: a > a,R12: a > a,R22: a > a,F: a > a,L: a > a] :
% 0.28/0.48 ( ( ( comp_a_a_a @ G @ H )
% 0.28/0.48 = ( comp_a_a_a @ R12 @ R22 ) )
% 0.28/0.48 => ( ( ( comp_a_a_a @ F @ R12 )
% 0.28/0.48 = L )
% 0.28/0.48 => ( ( comp_a_a_a @ ( comp_a_a_a @ F @ G ) @ H )
% 0.28/0.48 = ( comp_a_a_a @ L @ R22 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteR_comp_comp2
% 0.28/0.48 thf(fact_169_rewriteR__comp__comp2,axiom,
% 0.28/0.48 ! [G: b > a,H: b > b,R12: a > a,R22: b > a,F: a > c > c,L: a > c > c] :
% 0.28/0.48 ( ( ( comp_b_a_b @ G @ H )
% 0.28/0.48 = ( comp_a_a_b @ R12 @ R22 ) )
% 0.28/0.48 => ( ( ( comp_a_c_c_a @ F @ R12 )
% 0.28/0.48 = L )
% 0.28/0.48 => ( ( comp_b_c_c_b @ ( comp_a_c_c_b @ F @ G ) @ H )
% 0.28/0.48 = ( comp_a_c_c_b @ L @ R22 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteR_comp_comp2
% 0.28/0.48 thf(fact_170_rewriteR__comp__comp2,axiom,
% 0.28/0.48 ! [G: a > a,H: b > a,R12: a > a,R22: b > a,F: a > c > c,L: a > c > c] :
% 0.28/0.48 ( ( ( comp_a_a_b @ G @ H )
% 0.28/0.48 = ( comp_a_a_b @ R12 @ R22 ) )
% 0.28/0.48 => ( ( ( comp_a_c_c_a @ F @ R12 )
% 0.28/0.48 = L )
% 0.28/0.48 => ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ F @ G ) @ H )
% 0.28/0.48 = ( comp_a_c_c_b @ L @ R22 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteR_comp_comp2
% 0.28/0.48 thf(fact_171_rewriteR__comp__comp2,axiom,
% 0.28/0.48 ! [G: a > a,H: b > a,R12: b > a,R22: b > b,F: a > c > c,L: b > c > c] :
% 0.28/0.48 ( ( ( comp_a_a_b @ G @ H )
% 0.28/0.48 = ( comp_b_a_b @ R12 @ R22 ) )
% 0.28/0.48 => ( ( ( comp_a_c_c_b @ F @ R12 )
% 0.28/0.48 = L )
% 0.28/0.48 => ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ F @ G ) @ H )
% 0.28/0.48 = ( comp_b_c_c_b @ L @ R22 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteR_comp_comp2
% 0.28/0.48 thf(fact_172_rewriteR__comp__comp2,axiom,
% 0.28/0.48 ! [G: a > b,H: b > a,R12: b > b,R22: b > b,F: b > c > c,L: b > c > c] :
% 0.28/0.48 ( ( ( comp_a_b_b @ G @ H )
% 0.28/0.48 = ( comp_b_b_b @ R12 @ R22 ) )
% 0.28/0.48 => ( ( ( comp_b_c_c_b @ F @ R12 )
% 0.28/0.48 = L )
% 0.28/0.48 => ( ( comp_a_c_c_b @ ( comp_b_c_c_a @ F @ G ) @ H )
% 0.28/0.48 = ( comp_b_c_c_b @ L @ R22 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteR_comp_comp2
% 0.28/0.48 thf(fact_173_rewriteL__comp__comp2,axiom,
% 0.28/0.48 ! [F: b > d > d,G: b > b,L1: b > d > d,L2: b > b,H: b > b,R4: b > b] :
% 0.28/0.48 ( ( ( comp_b_d_d_b @ F @ G )
% 0.28/0.48 = ( comp_b_d_d_b @ L1 @ L2 ) )
% 0.28/0.48 => ( ( ( comp_b_b_b @ L2 @ H )
% 0.28/0.48 = R4 )
% 0.28/0.48 => ( ( comp_b_d_d_b @ F @ ( comp_b_b_b @ G @ H ) )
% 0.28/0.48 = ( comp_b_d_d_b @ L1 @ R4 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteL_comp_comp2
% 0.28/0.48 thf(fact_174_rewriteL__comp__comp2,axiom,
% 0.28/0.48 ! [F: a > c > c,G: a > a,L1: a > c > c,L2: a > a,H: a > a,R4: a > a] :
% 0.28/0.48 ( ( ( comp_a_c_c_a @ F @ G )
% 0.28/0.48 = ( comp_a_c_c_a @ L1 @ L2 ) )
% 0.28/0.48 => ( ( ( comp_a_a_a @ L2 @ H )
% 0.28/0.48 = R4 )
% 0.28/0.48 => ( ( comp_a_c_c_a @ F @ ( comp_a_a_a @ G @ H ) )
% 0.28/0.48 = ( comp_a_c_c_a @ L1 @ R4 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteL_comp_comp2
% 0.28/0.48 thf(fact_175_rewriteL__comp__comp2,axiom,
% 0.28/0.48 ! [F: ( d > d ) > d > d,G: b > d > d,L1: b > d > d,L2: b > b,H: b > b,R4: b > b] :
% 0.28/0.48 ( ( ( comp_d_d_d_d_b @ F @ G )
% 0.28/0.48 = ( comp_b_d_d_b @ L1 @ L2 ) )
% 0.28/0.48 => ( ( ( comp_b_b_b @ L2 @ H )
% 0.28/0.48 = R4 )
% 0.28/0.48 => ( ( comp_d_d_d_d_b @ F @ ( comp_b_d_d_b @ G @ H ) )
% 0.28/0.48 = ( comp_b_d_d_b @ L1 @ R4 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteL_comp_comp2
% 0.28/0.48 thf(fact_176_rewriteL__comp__comp2,axiom,
% 0.28/0.48 ! [F: ( c > c ) > c > c,G: a > c > c,L1: a > c > c,L2: a > a,H: a > a,R4: a > a] :
% 0.28/0.48 ( ( ( comp_c_c_c_c_a @ F @ G )
% 0.28/0.48 = ( comp_a_c_c_a @ L1 @ L2 ) )
% 0.28/0.48 => ( ( ( comp_a_a_a @ L2 @ H )
% 0.28/0.48 = R4 )
% 0.28/0.48 => ( ( comp_c_c_c_c_a @ F @ ( comp_a_c_c_a @ G @ H ) )
% 0.28/0.48 = ( comp_a_c_c_a @ L1 @ R4 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteL_comp_comp2
% 0.28/0.48 thf(fact_177_rewriteL__comp__comp2,axiom,
% 0.28/0.48 ! [F: b > d > d,G: b > b,L1: ( d > d ) > d > d,L2: b > d > d,H: b > b,R4: b > d > d] :
% 0.28/0.48 ( ( ( comp_b_d_d_b @ F @ G )
% 0.28/0.48 = ( comp_d_d_d_d_b @ L1 @ L2 ) )
% 0.28/0.48 => ( ( ( comp_b_d_d_b @ L2 @ H )
% 0.28/0.48 = R4 )
% 0.28/0.48 => ( ( comp_b_d_d_b @ F @ ( comp_b_b_b @ G @ H ) )
% 0.28/0.48 = ( comp_d_d_d_d_b @ L1 @ R4 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteL_comp_comp2
% 0.28/0.48 thf(fact_178_rewriteL__comp__comp2,axiom,
% 0.28/0.48 ! [F: a > c > c,G: a > a,L1: ( c > c ) > c > c,L2: a > c > c,H: a > a,R4: a > c > c] :
% 0.28/0.48 ( ( ( comp_a_c_c_a @ F @ G )
% 0.28/0.48 = ( comp_c_c_c_c_a @ L1 @ L2 ) )
% 0.28/0.48 => ( ( ( comp_a_c_c_a @ L2 @ H )
% 0.28/0.48 = R4 )
% 0.28/0.48 => ( ( comp_a_c_c_a @ F @ ( comp_a_a_a @ G @ H ) )
% 0.28/0.48 = ( comp_c_c_c_c_a @ L1 @ R4 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteL_comp_comp2
% 0.28/0.48 thf(fact_179_rewriteL__comp__comp2,axiom,
% 0.28/0.48 ! [F: b > b,G: b > b,L1: b > b,L2: b > b,H: b > b,R4: b > b] :
% 0.28/0.48 ( ( ( comp_b_b_b @ F @ G )
% 0.28/0.48 = ( comp_b_b_b @ L1 @ L2 ) )
% 0.28/0.48 => ( ( ( comp_b_b_b @ L2 @ H )
% 0.28/0.48 = R4 )
% 0.28/0.48 => ( ( comp_b_b_b @ F @ ( comp_b_b_b @ G @ H ) )
% 0.28/0.48 = ( comp_b_b_b @ L1 @ R4 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteL_comp_comp2
% 0.28/0.48 thf(fact_180_rewriteL__comp__comp2,axiom,
% 0.28/0.48 ! [F: a > a,G: a > a,L1: a > a,L2: a > a,H: a > a,R4: a > a] :
% 0.28/0.48 ( ( ( comp_a_a_a @ F @ G )
% 0.28/0.48 = ( comp_a_a_a @ L1 @ L2 ) )
% 0.28/0.48 => ( ( ( comp_a_a_a @ L2 @ H )
% 0.28/0.48 = R4 )
% 0.28/0.48 => ( ( comp_a_a_a @ F @ ( comp_a_a_a @ G @ H ) )
% 0.28/0.48 = ( comp_a_a_a @ L1 @ R4 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteL_comp_comp2
% 0.28/0.48 thf(fact_181_rewriteL__comp__comp2,axiom,
% 0.28/0.48 ! [F: ( c > c ) > b,G: a > c > c,L1: b > b,L2: a > b,H: b > a,R4: b > b] :
% 0.28/0.48 ( ( ( comp_c_c_b_a @ F @ G )
% 0.28/0.48 = ( comp_b_b_a @ L1 @ L2 ) )
% 0.28/0.48 => ( ( ( comp_a_b_b @ L2 @ H )
% 0.28/0.48 = R4 )
% 0.28/0.48 => ( ( comp_c_c_b_b @ F @ ( comp_a_c_c_b @ G @ H ) )
% 0.28/0.48 = ( comp_b_b_b @ L1 @ R4 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteL_comp_comp2
% 0.28/0.48 thf(fact_182_rewriteL__comp__comp2,axiom,
% 0.28/0.48 ! [F: b > b,G: a > b,L1: ( c > c ) > b,L2: a > c > c,H: b > a,R4: b > c > c] :
% 0.28/0.48 ( ( ( comp_b_b_a @ F @ G )
% 0.28/0.48 = ( comp_c_c_b_a @ L1 @ L2 ) )
% 0.28/0.48 => ( ( ( comp_a_c_c_b @ L2 @ H )
% 0.28/0.48 = R4 )
% 0.28/0.48 => ( ( comp_b_b_b @ F @ ( comp_a_b_b @ G @ H ) )
% 0.28/0.48 = ( comp_c_c_b_b @ L1 @ R4 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteL_comp_comp2
% 0.28/0.48 thf(fact_183_rewriteR__comp__comp,axiom,
% 0.28/0.48 ! [G: b > b,H: b > b,R4: b > b,F: b > d > d] :
% 0.28/0.48 ( ( ( comp_b_b_b @ G @ H )
% 0.28/0.48 = R4 )
% 0.28/0.48 => ( ( comp_b_d_d_b @ ( comp_b_d_d_b @ F @ G ) @ H )
% 0.28/0.48 = ( comp_b_d_d_b @ F @ R4 ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteR_comp_comp
% 0.28/0.48 thf(fact_184_rewriteR__comp__comp,axiom,
% 0.28/0.48 ! [G: a > a,H: a > a,R4: a > a,F: a > c > c] :
% 0.28/0.48 ( ( ( comp_a_a_a @ G @ H )
% 0.28/0.48 = R4 )
% 0.28/0.48 => ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ G ) @ H )
% 0.28/0.48 = ( comp_a_c_c_a @ F @ R4 ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteR_comp_comp
% 0.28/0.48 thf(fact_185_rewriteR__comp__comp,axiom,
% 0.28/0.48 ! [G: b > d > d,H: b > b,R4: b > d > d,F: ( d > d ) > d > d] :
% 0.28/0.48 ( ( ( comp_b_d_d_b @ G @ H )
% 0.28/0.48 = R4 )
% 0.28/0.48 => ( ( comp_b_d_d_b @ ( comp_d_d_d_d_b @ F @ G ) @ H )
% 0.28/0.48 = ( comp_d_d_d_d_b @ F @ R4 ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteR_comp_comp
% 0.28/0.48 thf(fact_186_rewriteR__comp__comp,axiom,
% 0.28/0.48 ! [G: a > c > c,H: a > a,R4: a > c > c,F: ( c > c ) > c > c] :
% 0.28/0.48 ( ( ( comp_a_c_c_a @ G @ H )
% 0.28/0.48 = R4 )
% 0.28/0.48 => ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ F @ G ) @ H )
% 0.28/0.48 = ( comp_c_c_c_c_a @ F @ R4 ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteR_comp_comp
% 0.28/0.48 thf(fact_187_rewriteR__comp__comp,axiom,
% 0.28/0.48 ! [G: b > b,H: b > b,R4: b > b,F: b > b] :
% 0.28/0.48 ( ( ( comp_b_b_b @ G @ H )
% 0.28/0.48 = R4 )
% 0.28/0.48 => ( ( comp_b_b_b @ ( comp_b_b_b @ F @ G ) @ H )
% 0.28/0.48 = ( comp_b_b_b @ F @ R4 ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteR_comp_comp
% 0.28/0.48 thf(fact_188_rewriteR__comp__comp,axiom,
% 0.28/0.48 ! [G: a > a,H: a > a,R4: a > a,F: a > a] :
% 0.28/0.48 ( ( ( comp_a_a_a @ G @ H )
% 0.28/0.48 = R4 )
% 0.28/0.48 => ( ( comp_a_a_a @ ( comp_a_a_a @ F @ G ) @ H )
% 0.28/0.48 = ( comp_a_a_a @ F @ R4 ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteR_comp_comp
% 0.28/0.48 thf(fact_189_rewriteR__comp__comp,axiom,
% 0.28/0.48 ! [G: ( d > d ) > b,H: b > d > d,R4: b > b,F: b > b] :
% 0.28/0.48 ( ( ( comp_d_d_b_b @ G @ H )
% 0.28/0.48 = R4 )
% 0.28/0.48 => ( ( comp_d_d_b_b @ ( comp_b_b_d_d @ F @ G ) @ H )
% 0.28/0.48 = ( comp_b_b_b @ F @ R4 ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteR_comp_comp
% 0.28/0.48 thf(fact_190_rewriteR__comp__comp,axiom,
% 0.28/0.48 ! [G: b > a,H: a > b,R4: a > a,F: a > c > c] :
% 0.28/0.48 ( ( ( comp_b_a_a @ G @ H )
% 0.28/0.48 = R4 )
% 0.28/0.48 => ( ( comp_b_c_c_a @ ( comp_a_c_c_b @ F @ G ) @ H )
% 0.28/0.48 = ( comp_a_c_c_a @ F @ R4 ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteR_comp_comp
% 0.28/0.48 thf(fact_191_rewriteR__comp__comp,axiom,
% 0.28/0.48 ! [G: b > a,H: b > b,R4: b > a,F: a > c > c] :
% 0.28/0.48 ( ( ( comp_b_a_b @ G @ H )
% 0.28/0.48 = R4 )
% 0.28/0.48 => ( ( comp_b_c_c_b @ ( comp_a_c_c_b @ F @ G ) @ H )
% 0.28/0.48 = ( comp_a_c_c_b @ F @ R4 ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteR_comp_comp
% 0.28/0.48 thf(fact_192_rewriteR__comp__comp,axiom,
% 0.28/0.48 ! [G: ( c > c ) > a,H: a > c > c,R4: a > a,F: a > a] :
% 0.28/0.48 ( ( ( comp_c_c_a_a @ G @ H )
% 0.28/0.48 = R4 )
% 0.28/0.48 => ( ( comp_c_c_a_a @ ( comp_a_a_c_c @ F @ G ) @ H )
% 0.28/0.48 = ( comp_a_a_a @ F @ R4 ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteR_comp_comp
% 0.28/0.48 thf(fact_193_rewriteL__comp__comp,axiom,
% 0.28/0.48 ! [F: b > d > d,G: b > b,L: b > d > d,H: b > b] :
% 0.28/0.48 ( ( ( comp_b_d_d_b @ F @ G )
% 0.28/0.48 = L )
% 0.28/0.48 => ( ( comp_b_d_d_b @ F @ ( comp_b_b_b @ G @ H ) )
% 0.28/0.48 = ( comp_b_d_d_b @ L @ H ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteL_comp_comp
% 0.28/0.48 thf(fact_194_rewriteL__comp__comp,axiom,
% 0.28/0.48 ! [F: a > c > c,G: a > a,L: a > c > c,H: a > a] :
% 0.28/0.48 ( ( ( comp_a_c_c_a @ F @ G )
% 0.28/0.48 = L )
% 0.28/0.48 => ( ( comp_a_c_c_a @ F @ ( comp_a_a_a @ G @ H ) )
% 0.28/0.48 = ( comp_a_c_c_a @ L @ H ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteL_comp_comp
% 0.28/0.48 thf(fact_195_rewriteL__comp__comp,axiom,
% 0.28/0.48 ! [F: ( d > d ) > d > d,G: b > d > d,L: b > d > d,H: b > b] :
% 0.28/0.48 ( ( ( comp_d_d_d_d_b @ F @ G )
% 0.28/0.48 = L )
% 0.28/0.48 => ( ( comp_d_d_d_d_b @ F @ ( comp_b_d_d_b @ G @ H ) )
% 0.28/0.48 = ( comp_b_d_d_b @ L @ H ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteL_comp_comp
% 0.28/0.48 thf(fact_196_rewriteL__comp__comp,axiom,
% 0.28/0.48 ! [F: ( c > c ) > c > c,G: a > c > c,L: a > c > c,H: a > a] :
% 0.28/0.48 ( ( ( comp_c_c_c_c_a @ F @ G )
% 0.28/0.48 = L )
% 0.28/0.48 => ( ( comp_c_c_c_c_a @ F @ ( comp_a_c_c_a @ G @ H ) )
% 0.28/0.48 = ( comp_a_c_c_a @ L @ H ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteL_comp_comp
% 0.28/0.48 thf(fact_197_rewriteL__comp__comp,axiom,
% 0.28/0.48 ! [F: b > b,G: b > b,L: b > b,H: b > b] :
% 0.28/0.48 ( ( ( comp_b_b_b @ F @ G )
% 0.28/0.48 = L )
% 0.28/0.48 => ( ( comp_b_b_b @ F @ ( comp_b_b_b @ G @ H ) )
% 0.28/0.48 = ( comp_b_b_b @ L @ H ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteL_comp_comp
% 0.28/0.48 thf(fact_198_rewriteL__comp__comp,axiom,
% 0.28/0.48 ! [F: a > a,G: a > a,L: a > a,H: a > a] :
% 0.28/0.48 ( ( ( comp_a_a_a @ F @ G )
% 0.28/0.48 = L )
% 0.28/0.48 => ( ( comp_a_a_a @ F @ ( comp_a_a_a @ G @ H ) )
% 0.28/0.48 = ( comp_a_a_a @ L @ H ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteL_comp_comp
% 0.28/0.48 thf(fact_199_rewriteL__comp__comp,axiom,
% 0.28/0.48 ! [F: ( d > d ) > b,G: b > d > d,L: b > b,H: b > b] :
% 0.28/0.48 ( ( ( comp_d_d_b_b @ F @ G )
% 0.28/0.48 = L )
% 0.28/0.48 => ( ( comp_d_d_b_b @ F @ ( comp_b_d_d_b @ G @ H ) )
% 0.28/0.48 = ( comp_b_b_b @ L @ H ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteL_comp_comp
% 0.28/0.48 thf(fact_200_rewriteL__comp__comp,axiom,
% 0.28/0.48 ! [F: ( c > c ) > a,G: a > c > c,L: a > a,H: a > a] :
% 0.28/0.48 ( ( ( comp_c_c_a_a @ F @ G )
% 0.28/0.48 = L )
% 0.28/0.48 => ( ( comp_c_c_a_a @ F @ ( comp_a_c_c_a @ G @ H ) )
% 0.28/0.48 = ( comp_a_a_a @ L @ H ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteL_comp_comp
% 0.28/0.48 thf(fact_201_rewriteL__comp__comp,axiom,
% 0.28/0.48 ! [F: a > c > c,G: a > a,L: a > c > c,H: b > a] :
% 0.28/0.48 ( ( ( comp_a_c_c_a @ F @ G )
% 0.28/0.48 = L )
% 0.28/0.48 => ( ( comp_a_c_c_b @ F @ ( comp_a_a_b @ G @ H ) )
% 0.28/0.48 = ( comp_a_c_c_b @ L @ H ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteL_comp_comp
% 0.28/0.48 thf(fact_202_rewriteL__comp__comp,axiom,
% 0.28/0.48 ! [F: b > b,G: ( d > d ) > b,L: ( d > d ) > b,H: b > d > d] :
% 0.28/0.48 ( ( ( comp_b_b_d_d @ F @ G )
% 0.28/0.48 = L )
% 0.28/0.48 => ( ( comp_b_b_b @ F @ ( comp_d_d_b_b @ G @ H ) )
% 0.28/0.48 = ( comp_d_d_b_b @ L @ H ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rewriteL_comp_comp
% 0.28/0.48 thf(fact_203_fun_Omap__comp,axiom,
% 0.28/0.48 ! [G: b > d > d,F: b > b,V: b > b] :
% 0.28/0.48 ( ( comp_b_d_d_b @ G @ ( comp_b_b_b @ F @ V ) )
% 0.28/0.48 = ( comp_b_d_d_b @ ( comp_b_d_d_b @ G @ F ) @ V ) ) ).
% 0.28/0.48
% 0.28/0.48 % fun.map_comp
% 0.28/0.48 thf(fact_204_fun_Omap__comp,axiom,
% 0.28/0.48 ! [G: a > c > c,F: a > a,V: a > a] :
% 0.28/0.48 ( ( comp_a_c_c_a @ G @ ( comp_a_a_a @ F @ V ) )
% 0.28/0.48 = ( comp_a_c_c_a @ ( comp_a_c_c_a @ G @ F ) @ V ) ) ).
% 0.28/0.48
% 0.28/0.48 % fun.map_comp
% 0.28/0.48 thf(fact_205_fun_Omap__comp,axiom,
% 0.28/0.48 ! [G: ( d > d ) > d > d,F: b > d > d,V: b > b] :
% 0.28/0.48 ( ( comp_d_d_d_d_b @ G @ ( comp_b_d_d_b @ F @ V ) )
% 0.28/0.48 = ( comp_b_d_d_b @ ( comp_d_d_d_d_b @ G @ F ) @ V ) ) ).
% 0.28/0.48
% 0.28/0.48 % fun.map_comp
% 0.28/0.48 thf(fact_206_fun_Omap__comp,axiom,
% 0.28/0.48 ! [G: ( c > c ) > c > c,F: a > c > c,V: a > a] :
% 0.28/0.48 ( ( comp_c_c_c_c_a @ G @ ( comp_a_c_c_a @ F @ V ) )
% 0.28/0.48 = ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ G @ F ) @ V ) ) ).
% 0.28/0.48
% 0.28/0.48 % fun.map_comp
% 0.28/0.48 thf(fact_207_fun_Omap__comp,axiom,
% 0.28/0.48 ! [G: b > b,F: b > b,V: b > b] :
% 0.28/0.48 ( ( comp_b_b_b @ G @ ( comp_b_b_b @ F @ V ) )
% 0.28/0.48 = ( comp_b_b_b @ ( comp_b_b_b @ G @ F ) @ V ) ) ).
% 0.28/0.48
% 0.28/0.48 % fun.map_comp
% 0.28/0.48 thf(fact_208_fun_Omap__comp,axiom,
% 0.28/0.48 ! [G: a > a,F: a > a,V: a > a] :
% 0.28/0.48 ( ( comp_a_a_a @ G @ ( comp_a_a_a @ F @ V ) )
% 0.28/0.48 = ( comp_a_a_a @ ( comp_a_a_a @ G @ F ) @ V ) ) ).
% 0.28/0.48
% 0.28/0.48 % fun.map_comp
% 0.28/0.48 thf(fact_209_fun_Omap__comp,axiom,
% 0.28/0.48 ! [G: ( d > d ) > b,F: b > d > d,V: b > b] :
% 0.28/0.48 ( ( comp_d_d_b_b @ G @ ( comp_b_d_d_b @ F @ V ) )
% 0.28/0.48 = ( comp_b_b_b @ ( comp_d_d_b_b @ G @ F ) @ V ) ) ).
% 0.28/0.48
% 0.28/0.48 % fun.map_comp
% 0.28/0.48 thf(fact_210_fun_Omap__comp,axiom,
% 0.28/0.48 ! [G: ( c > c ) > a,F: a > c > c,V: a > a] :
% 0.28/0.48 ( ( comp_c_c_a_a @ G @ ( comp_a_c_c_a @ F @ V ) )
% 0.28/0.48 = ( comp_a_a_a @ ( comp_c_c_a_a @ G @ F ) @ V ) ) ).
% 0.28/0.48
% 0.28/0.48 % fun.map_comp
% 0.28/0.48 thf(fact_211_fun_Omap__comp,axiom,
% 0.28/0.48 ! [G: a > c > c,F: b > a,V: a > b] :
% 0.28/0.48 ( ( comp_a_c_c_a @ G @ ( comp_b_a_a @ F @ V ) )
% 0.28/0.48 = ( comp_b_c_c_a @ ( comp_a_c_c_b @ G @ F ) @ V ) ) ).
% 0.28/0.48
% 0.28/0.48 % fun.map_comp
% 0.28/0.48 thf(fact_212_fun_Omap__comp,axiom,
% 0.28/0.48 ! [G: b > b,F: b > b,V: ( d > d ) > b] :
% 0.28/0.48 ( ( comp_b_b_d_d @ G @ ( comp_b_b_d_d @ F @ V ) )
% 0.28/0.48 = ( comp_b_b_d_d @ ( comp_b_b_b @ G @ F ) @ V ) ) ).
% 0.28/0.48
% 0.28/0.48 % fun.map_comp
% 0.28/0.48 thf(fact_213_comp__apply__eq,axiom,
% 0.28/0.48 ! [F: b > b,G: ( d > d ) > b,X: d > d,H: b > b,K: ( d > d ) > b] :
% 0.28/0.48 ( ( ( F @ ( G @ X ) )
% 0.28/0.48 = ( H @ ( K @ X ) ) )
% 0.28/0.48 => ( ( comp_b_b_d_d @ F @ G @ X )
% 0.28/0.48 = ( comp_b_b_d_d @ H @ K @ X ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_apply_eq
% 0.28/0.48 thf(fact_214_comp__apply__eq,axiom,
% 0.28/0.48 ! [F: b > b,G: b > b,X: b,H: b > b,K: b > b] :
% 0.28/0.48 ( ( ( F @ ( G @ X ) )
% 0.28/0.48 = ( H @ ( K @ X ) ) )
% 0.28/0.48 => ( ( comp_b_b_b @ F @ G @ X )
% 0.28/0.48 = ( comp_b_b_b @ H @ K @ X ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_apply_eq
% 0.28/0.48 thf(fact_215_comp__apply__eq,axiom,
% 0.28/0.48 ! [F: a > c > c,G: b > a,X: b,H: a > c > c,K: b > a] :
% 0.28/0.48 ( ( ( F @ ( G @ X ) )
% 0.28/0.48 = ( H @ ( K @ X ) ) )
% 0.28/0.48 => ( ( comp_a_c_c_b @ F @ G @ X )
% 0.28/0.48 = ( comp_a_c_c_b @ H @ K @ X ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_apply_eq
% 0.28/0.48 thf(fact_216_comp__apply__eq,axiom,
% 0.28/0.48 ! [F: a > a,G: ( c > c ) > a,X: c > c,H: a > a,K: ( c > c ) > a] :
% 0.28/0.48 ( ( ( F @ ( G @ X ) )
% 0.28/0.48 = ( H @ ( K @ X ) ) )
% 0.28/0.48 => ( ( comp_a_a_c_c @ F @ G @ X )
% 0.28/0.48 = ( comp_a_a_c_c @ H @ K @ X ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_apply_eq
% 0.28/0.48 thf(fact_217_comp__apply__eq,axiom,
% 0.28/0.48 ! [F: a > a,G: a > a,X: a,H: a > a,K: a > a] :
% 0.28/0.48 ( ( ( F @ ( G @ X ) )
% 0.28/0.48 = ( H @ ( K @ X ) ) )
% 0.28/0.48 => ( ( comp_a_a_a @ F @ G @ X )
% 0.28/0.48 = ( comp_a_a_a @ H @ K @ X ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_apply_eq
% 0.28/0.48 thf(fact_218_comp__apply__eq,axiom,
% 0.28/0.48 ! [F: b > d > d,G: b > b,X: b,H: b > d > d,K: b > b] :
% 0.28/0.48 ( ( ( F @ ( G @ X ) )
% 0.28/0.48 = ( H @ ( K @ X ) ) )
% 0.28/0.48 => ( ( comp_b_d_d_b @ F @ G @ X )
% 0.28/0.48 = ( comp_b_d_d_b @ H @ K @ X ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_apply_eq
% 0.28/0.48 thf(fact_219_comp__apply__eq,axiom,
% 0.28/0.48 ! [F: a > c > c,G: a > a,X: a,H: a > c > c,K: a > a] :
% 0.28/0.48 ( ( ( F @ ( G @ X ) )
% 0.28/0.48 = ( H @ ( K @ X ) ) )
% 0.28/0.48 => ( ( comp_a_c_c_a @ F @ G @ X )
% 0.28/0.48 = ( comp_a_c_c_a @ H @ K @ X ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_apply_eq
% 0.28/0.48 thf(fact_220_mem__Collect__eq,axiom,
% 0.28/0.48 ! [A3: a,P: a > $o] :
% 0.28/0.48 ( ( member_a @ A3 @ ( collect_a @ P ) )
% 0.28/0.48 = ( P @ A3 ) ) ).
% 0.28/0.48
% 0.28/0.48 % mem_Collect_eq
% 0.28/0.48 thf(fact_221_mem__Collect__eq,axiom,
% 0.28/0.48 ! [A3: c,P: c > $o] :
% 0.28/0.48 ( ( member_c @ A3 @ ( collect_c @ P ) )
% 0.28/0.48 = ( P @ A3 ) ) ).
% 0.28/0.48
% 0.28/0.48 % mem_Collect_eq
% 0.28/0.48 thf(fact_222_mem__Collect__eq,axiom,
% 0.28/0.48 ! [A3: b,P: b > $o] :
% 0.28/0.48 ( ( member_b @ A3 @ ( collect_b @ P ) )
% 0.28/0.48 = ( P @ A3 ) ) ).
% 0.28/0.48
% 0.28/0.48 % mem_Collect_eq
% 0.28/0.48 thf(fact_223_mem__Collect__eq,axiom,
% 0.28/0.48 ! [A3: d,P: d > $o] :
% 0.28/0.48 ( ( member_d @ A3 @ ( collect_d @ P ) )
% 0.28/0.48 = ( P @ A3 ) ) ).
% 0.28/0.48
% 0.28/0.48 % mem_Collect_eq
% 0.28/0.48 thf(fact_224_Collect__mem__eq,axiom,
% 0.28/0.48 ! [A: set_a] :
% 0.28/0.48 ( ( collect_a
% 0.28/0.48 @ ^ [X3: a] : ( member_a @ X3 @ A ) )
% 0.28/0.48 = A ) ).
% 0.28/0.48
% 0.28/0.48 % Collect_mem_eq
% 0.28/0.48 thf(fact_225_Collect__mem__eq,axiom,
% 0.28/0.48 ! [A: set_c] :
% 0.28/0.48 ( ( collect_c
% 0.28/0.48 @ ^ [X3: c] : ( member_c @ X3 @ A ) )
% 0.28/0.48 = A ) ).
% 0.28/0.48
% 0.28/0.48 % Collect_mem_eq
% 0.28/0.48 thf(fact_226_Collect__mem__eq,axiom,
% 0.28/0.48 ! [A: set_b] :
% 0.28/0.48 ( ( collect_b
% 0.28/0.48 @ ^ [X3: b] : ( member_b @ X3 @ A ) )
% 0.28/0.48 = A ) ).
% 0.28/0.48
% 0.28/0.48 % Collect_mem_eq
% 0.28/0.48 thf(fact_227_Collect__mem__eq,axiom,
% 0.28/0.48 ! [A: set_d] :
% 0.28/0.48 ( ( collect_d
% 0.28/0.48 @ ^ [X3: d] : ( member_d @ X3 @ A ) )
% 0.28/0.48 = A ) ).
% 0.28/0.48
% 0.28/0.48 % Collect_mem_eq
% 0.28/0.48 thf(fact_228_comp__eq__dest__lhs,axiom,
% 0.28/0.48 ! [A3: b > b,B3: ( d > d ) > b,C2: ( d > d ) > b,V: d > d] :
% 0.28/0.48 ( ( ( comp_b_b_d_d @ A3 @ B3 )
% 0.28/0.48 = C2 )
% 0.28/0.48 => ( ( A3 @ ( B3 @ V ) )
% 0.28/0.48 = ( C2 @ V ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_eq_dest_lhs
% 0.28/0.48 thf(fact_229_comp__eq__dest__lhs,axiom,
% 0.28/0.48 ! [A3: b > b,B3: b > b,C2: b > b,V: b] :
% 0.28/0.48 ( ( ( comp_b_b_b @ A3 @ B3 )
% 0.28/0.48 = C2 )
% 0.28/0.48 => ( ( A3 @ ( B3 @ V ) )
% 0.28/0.48 = ( C2 @ V ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_eq_dest_lhs
% 0.28/0.48 thf(fact_230_comp__eq__dest__lhs,axiom,
% 0.28/0.48 ! [A3: a > c > c,B3: b > a,C2: b > c > c,V: b] :
% 0.28/0.48 ( ( ( comp_a_c_c_b @ A3 @ B3 )
% 0.28/0.48 = C2 )
% 0.28/0.48 => ( ( A3 @ ( B3 @ V ) )
% 0.28/0.48 = ( C2 @ V ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_eq_dest_lhs
% 0.28/0.48 thf(fact_231_comp__eq__dest__lhs,axiom,
% 0.28/0.48 ! [A3: a > a,B3: ( c > c ) > a,C2: ( c > c ) > a,V: c > c] :
% 0.28/0.48 ( ( ( comp_a_a_c_c @ A3 @ B3 )
% 0.28/0.48 = C2 )
% 0.28/0.48 => ( ( A3 @ ( B3 @ V ) )
% 0.28/0.48 = ( C2 @ V ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_eq_dest_lhs
% 0.28/0.48 thf(fact_232_comp__eq__dest__lhs,axiom,
% 0.28/0.48 ! [A3: a > a,B3: a > a,C2: a > a,V: a] :
% 0.28/0.48 ( ( ( comp_a_a_a @ A3 @ B3 )
% 0.28/0.48 = C2 )
% 0.28/0.48 => ( ( A3 @ ( B3 @ V ) )
% 0.28/0.48 = ( C2 @ V ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_eq_dest_lhs
% 0.28/0.48 thf(fact_233_comp__eq__dest__lhs,axiom,
% 0.28/0.48 ! [A3: b > d > d,B3: b > b,C2: b > d > d,V: b] :
% 0.28/0.48 ( ( ( comp_b_d_d_b @ A3 @ B3 )
% 0.28/0.48 = C2 )
% 0.28/0.48 => ( ( A3 @ ( B3 @ V ) )
% 0.28/0.48 = ( C2 @ V ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_eq_dest_lhs
% 0.28/0.48 thf(fact_234_comp__eq__dest__lhs,axiom,
% 0.28/0.48 ! [A3: a > c > c,B3: a > a,C2: a > c > c,V: a] :
% 0.28/0.48 ( ( ( comp_a_c_c_a @ A3 @ B3 )
% 0.28/0.48 = C2 )
% 0.28/0.48 => ( ( A3 @ ( B3 @ V ) )
% 0.28/0.48 = ( C2 @ V ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_eq_dest_lhs
% 0.28/0.48 thf(fact_235_comp__eq__elim,axiom,
% 0.28/0.48 ! [A3: b > b,B3: ( d > d ) > b,C2: b > b,D: ( d > d ) > b] :
% 0.28/0.48 ( ( ( comp_b_b_d_d @ A3 @ B3 )
% 0.28/0.48 = ( comp_b_b_d_d @ C2 @ D ) )
% 0.28/0.48 => ! [V2: d > d] :
% 0.28/0.48 ( ( A3 @ ( B3 @ V2 ) )
% 0.28/0.48 = ( C2 @ ( D @ V2 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_eq_elim
% 0.28/0.48 thf(fact_236_comp__eq__elim,axiom,
% 0.28/0.48 ! [A3: b > b,B3: b > b,C2: b > b,D: b > b] :
% 0.28/0.48 ( ( ( comp_b_b_b @ A3 @ B3 )
% 0.28/0.48 = ( comp_b_b_b @ C2 @ D ) )
% 0.28/0.48 => ! [V2: b] :
% 0.28/0.48 ( ( A3 @ ( B3 @ V2 ) )
% 0.28/0.48 = ( C2 @ ( D @ V2 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_eq_elim
% 0.28/0.48 thf(fact_237_comp__eq__elim,axiom,
% 0.28/0.48 ! [A3: a > c > c,B3: b > a,C2: a > c > c,D: b > a] :
% 0.28/0.48 ( ( ( comp_a_c_c_b @ A3 @ B3 )
% 0.28/0.48 = ( comp_a_c_c_b @ C2 @ D ) )
% 0.28/0.48 => ! [V2: b] :
% 0.28/0.48 ( ( A3 @ ( B3 @ V2 ) )
% 0.28/0.48 = ( C2 @ ( D @ V2 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_eq_elim
% 0.28/0.48 thf(fact_238_comp__eq__elim,axiom,
% 0.28/0.48 ! [A3: a > a,B3: ( c > c ) > a,C2: a > a,D: ( c > c ) > a] :
% 0.28/0.48 ( ( ( comp_a_a_c_c @ A3 @ B3 )
% 0.28/0.48 = ( comp_a_a_c_c @ C2 @ D ) )
% 0.28/0.48 => ! [V2: c > c] :
% 0.28/0.48 ( ( A3 @ ( B3 @ V2 ) )
% 0.28/0.48 = ( C2 @ ( D @ V2 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_eq_elim
% 0.28/0.48 thf(fact_239_comp__eq__elim,axiom,
% 0.28/0.48 ! [A3: a > a,B3: a > a,C2: a > a,D: a > a] :
% 0.28/0.48 ( ( ( comp_a_a_a @ A3 @ B3 )
% 0.28/0.48 = ( comp_a_a_a @ C2 @ D ) )
% 0.28/0.48 => ! [V2: a] :
% 0.28/0.48 ( ( A3 @ ( B3 @ V2 ) )
% 0.28/0.48 = ( C2 @ ( D @ V2 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_eq_elim
% 0.28/0.48 thf(fact_240_comp__eq__elim,axiom,
% 0.28/0.48 ! [A3: b > d > d,B3: b > b,C2: b > d > d,D: b > b] :
% 0.28/0.48 ( ( ( comp_b_d_d_b @ A3 @ B3 )
% 0.28/0.48 = ( comp_b_d_d_b @ C2 @ D ) )
% 0.28/0.48 => ! [V2: b] :
% 0.28/0.48 ( ( A3 @ ( B3 @ V2 ) )
% 0.28/0.48 = ( C2 @ ( D @ V2 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_eq_elim
% 0.28/0.48 thf(fact_241_comp__eq__elim,axiom,
% 0.28/0.48 ! [A3: a > c > c,B3: a > a,C2: a > c > c,D: a > a] :
% 0.28/0.48 ( ( ( comp_a_c_c_a @ A3 @ B3 )
% 0.28/0.48 = ( comp_a_c_c_a @ C2 @ D ) )
% 0.28/0.48 => ! [V2: a] :
% 0.28/0.48 ( ( A3 @ ( B3 @ V2 ) )
% 0.28/0.48 = ( C2 @ ( D @ V2 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_eq_elim
% 0.28/0.48 thf(fact_242_comp__eq__dest,axiom,
% 0.28/0.48 ! [A3: b > b,B3: ( d > d ) > b,C2: b > b,D: ( d > d ) > b,V: d > d] :
% 0.28/0.48 ( ( ( comp_b_b_d_d @ A3 @ B3 )
% 0.28/0.48 = ( comp_b_b_d_d @ C2 @ D ) )
% 0.28/0.48 => ( ( A3 @ ( B3 @ V ) )
% 0.28/0.48 = ( C2 @ ( D @ V ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_eq_dest
% 0.28/0.48 thf(fact_243_comp__eq__dest,axiom,
% 0.28/0.48 ! [A3: b > b,B3: b > b,C2: b > b,D: b > b,V: b] :
% 0.28/0.48 ( ( ( comp_b_b_b @ A3 @ B3 )
% 0.28/0.48 = ( comp_b_b_b @ C2 @ D ) )
% 0.28/0.48 => ( ( A3 @ ( B3 @ V ) )
% 0.28/0.48 = ( C2 @ ( D @ V ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_eq_dest
% 0.28/0.48 thf(fact_244_comp__eq__dest,axiom,
% 0.28/0.48 ! [A3: a > c > c,B3: b > a,C2: a > c > c,D: b > a,V: b] :
% 0.28/0.48 ( ( ( comp_a_c_c_b @ A3 @ B3 )
% 0.28/0.48 = ( comp_a_c_c_b @ C2 @ D ) )
% 0.28/0.48 => ( ( A3 @ ( B3 @ V ) )
% 0.28/0.48 = ( C2 @ ( D @ V ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_eq_dest
% 0.28/0.48 thf(fact_245_comp__eq__dest,axiom,
% 0.28/0.48 ! [A3: a > a,B3: ( c > c ) > a,C2: a > a,D: ( c > c ) > a,V: c > c] :
% 0.28/0.48 ( ( ( comp_a_a_c_c @ A3 @ B3 )
% 0.28/0.48 = ( comp_a_a_c_c @ C2 @ D ) )
% 0.28/0.48 => ( ( A3 @ ( B3 @ V ) )
% 0.28/0.48 = ( C2 @ ( D @ V ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_eq_dest
% 0.28/0.48 thf(fact_246_comp__eq__dest,axiom,
% 0.28/0.48 ! [A3: a > a,B3: a > a,C2: a > a,D: a > a,V: a] :
% 0.28/0.48 ( ( ( comp_a_a_a @ A3 @ B3 )
% 0.28/0.48 = ( comp_a_a_a @ C2 @ D ) )
% 0.28/0.48 => ( ( A3 @ ( B3 @ V ) )
% 0.28/0.48 = ( C2 @ ( D @ V ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_eq_dest
% 0.28/0.48 thf(fact_247_comp__eq__dest,axiom,
% 0.28/0.48 ! [A3: b > d > d,B3: b > b,C2: b > d > d,D: b > b,V: b] :
% 0.28/0.48 ( ( ( comp_b_d_d_b @ A3 @ B3 )
% 0.28/0.48 = ( comp_b_d_d_b @ C2 @ D ) )
% 0.28/0.48 => ( ( A3 @ ( B3 @ V ) )
% 0.28/0.48 = ( C2 @ ( D @ V ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_eq_dest
% 0.28/0.48 thf(fact_248_comp__eq__dest,axiom,
% 0.28/0.48 ! [A3: a > c > c,B3: a > a,C2: a > c > c,D: a > a,V: a] :
% 0.28/0.48 ( ( ( comp_a_c_c_a @ A3 @ B3 )
% 0.28/0.48 = ( comp_a_c_c_a @ C2 @ D ) )
% 0.28/0.48 => ( ( A3 @ ( B3 @ V ) )
% 0.28/0.48 = ( C2 @ ( D @ V ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_eq_dest
% 0.28/0.48 thf(fact_249_comp__assoc,axiom,
% 0.28/0.48 ! [F: b > d > d,G: b > b,H: b > b] :
% 0.28/0.48 ( ( comp_b_d_d_b @ ( comp_b_d_d_b @ F @ G ) @ H )
% 0.28/0.48 = ( comp_b_d_d_b @ F @ ( comp_b_b_b @ G @ H ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_assoc
% 0.28/0.48 thf(fact_250_comp__assoc,axiom,
% 0.28/0.48 ! [F: a > c > c,G: a > a,H: a > a] :
% 0.28/0.48 ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ G ) @ H )
% 0.28/0.48 = ( comp_a_c_c_a @ F @ ( comp_a_a_a @ G @ H ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_assoc
% 0.28/0.48 thf(fact_251_comp__assoc,axiom,
% 0.28/0.48 ! [F: ( d > d ) > d > d,G: b > d > d,H: b > b] :
% 0.28/0.48 ( ( comp_b_d_d_b @ ( comp_d_d_d_d_b @ F @ G ) @ H )
% 0.28/0.48 = ( comp_d_d_d_d_b @ F @ ( comp_b_d_d_b @ G @ H ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_assoc
% 0.28/0.48 thf(fact_252_comp__assoc,axiom,
% 0.28/0.48 ! [F: ( c > c ) > c > c,G: a > c > c,H: a > a] :
% 0.28/0.48 ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ F @ G ) @ H )
% 0.28/0.48 = ( comp_c_c_c_c_a @ F @ ( comp_a_c_c_a @ G @ H ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_assoc
% 0.28/0.48 thf(fact_253_comp__assoc,axiom,
% 0.28/0.48 ! [F: b > b,G: b > b,H: b > b] :
% 0.28/0.48 ( ( comp_b_b_b @ ( comp_b_b_b @ F @ G ) @ H )
% 0.28/0.48 = ( comp_b_b_b @ F @ ( comp_b_b_b @ G @ H ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_assoc
% 0.28/0.48 thf(fact_254_comp__assoc,axiom,
% 0.28/0.48 ! [F: a > a,G: a > a,H: a > a] :
% 0.28/0.48 ( ( comp_a_a_a @ ( comp_a_a_a @ F @ G ) @ H )
% 0.28/0.48 = ( comp_a_a_a @ F @ ( comp_a_a_a @ G @ H ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_assoc
% 0.28/0.48 thf(fact_255_comp__assoc,axiom,
% 0.28/0.48 ! [F: b > b,G: ( d > d ) > b,H: b > d > d] :
% 0.28/0.48 ( ( comp_d_d_b_b @ ( comp_b_b_d_d @ F @ G ) @ H )
% 0.28/0.48 = ( comp_b_b_b @ F @ ( comp_d_d_b_b @ G @ H ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_assoc
% 0.28/0.48 thf(fact_256_comp__assoc,axiom,
% 0.28/0.48 ! [F: a > c > c,G: b > a,H: a > b] :
% 0.28/0.48 ( ( comp_b_c_c_a @ ( comp_a_c_c_b @ F @ G ) @ H )
% 0.28/0.48 = ( comp_a_c_c_a @ F @ ( comp_b_a_a @ G @ H ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_assoc
% 0.28/0.48 thf(fact_257_comp__assoc,axiom,
% 0.28/0.48 ! [F: a > c > c,G: b > a,H: b > b] :
% 0.28/0.48 ( ( comp_b_c_c_b @ ( comp_a_c_c_b @ F @ G ) @ H )
% 0.28/0.48 = ( comp_a_c_c_b @ F @ ( comp_b_a_b @ G @ H ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_assoc
% 0.28/0.48 thf(fact_258_comp__assoc,axiom,
% 0.28/0.48 ! [F: a > a,G: ( c > c ) > a,H: a > c > c] :
% 0.28/0.48 ( ( comp_c_c_a_a @ ( comp_a_a_c_c @ F @ G ) @ H )
% 0.28/0.48 = ( comp_a_a_a @ F @ ( comp_c_c_a_a @ G @ H ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_assoc
% 0.28/0.48 thf(fact_259_comp__def,axiom,
% 0.28/0.48 ( comp_b_b_d_d
% 0.28/0.48 = ( ^ [F2: b > b,G2: ( d > d ) > b,X3: d > d] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_def
% 0.28/0.48 thf(fact_260_comp__def,axiom,
% 0.28/0.48 ( comp_b_b_b
% 0.28/0.48 = ( ^ [F2: b > b,G2: b > b,X3: b] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_def
% 0.28/0.48 thf(fact_261_comp__def,axiom,
% 0.28/0.48 ( comp_a_c_c_b
% 0.28/0.48 = ( ^ [F2: a > c > c,G2: b > a,X3: b] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_def
% 0.28/0.48 thf(fact_262_comp__def,axiom,
% 0.28/0.48 ( comp_a_a_c_c
% 0.28/0.48 = ( ^ [F2: a > a,G2: ( c > c ) > a,X3: c > c] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_def
% 0.28/0.48 thf(fact_263_comp__def,axiom,
% 0.28/0.48 ( comp_a_a_a
% 0.28/0.48 = ( ^ [F2: a > a,G2: a > a,X3: a] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_def
% 0.28/0.48 thf(fact_264_comp__def,axiom,
% 0.28/0.48 ( comp_b_d_d_b
% 0.28/0.48 = ( ^ [F2: b > d > d,G2: b > b,X3: b] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_def
% 0.28/0.48 thf(fact_265_comp__def,axiom,
% 0.28/0.48 ( comp_a_c_c_a
% 0.28/0.48 = ( ^ [F2: a > c > c,G2: a > a,X3: a] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_def
% 0.28/0.48 thf(fact_266_Let__transfer,axiom,
% 0.28/0.48 ! [A: a > b > $o,B: a > b > $o] :
% 0.28/0.48 ( bNF_re1730737055_b_b_b @ A @ ( bNF_re2087760490_b_a_b @ ( bNF_rel_fun_a_b_a_b @ A @ B ) @ B )
% 0.28/0.48 @ ^ [S3: a,F2: a > a] : ( F2 @ S3 )
% 0.28/0.48 @ ^ [S3: b,F2: b > b] : ( F2 @ S3 ) ) ).
% 0.28/0.48
% 0.28/0.48 % Let_transfer
% 0.28/0.48 thf(fact_267_Let__transfer,axiom,
% 0.28/0.48 ! [A: a > a > $o,B: ( c > c ) > ( d > d ) > $o] :
% 0.28/0.48 ( bNF_re1391160029_d_d_d @ A @ ( bNF_re1955249705_c_d_d @ ( bNF_re1979731817_c_d_d @ A @ B ) @ B )
% 0.28/0.48 @ ^ [S3: a,F2: a > c > c] : ( F2 @ S3 )
% 0.28/0.48 @ ^ [S3: a,F2: a > d > d] : ( F2 @ S3 ) ) ).
% 0.28/0.48
% 0.28/0.48 % Let_transfer
% 0.28/0.48 thf(fact_268_Let__transfer,axiom,
% 0.28/0.48 ! [A: a > a > $o,B: ( c > c ) > ( c > c ) > $o] :
% 0.28/0.48 ( bNF_re1482032989_c_c_c @ A @ ( bNF_re27458217_c_c_c @ ( bNF_re1143700905_c_c_c @ A @ B ) @ B )
% 0.28/0.48 @ ^ [S3: a,F2: a > c > c] : ( F2 @ S3 )
% 0.28/0.48 @ ^ [S3: a,F2: a > c > c] : ( F2 @ S3 ) ) ).
% 0.28/0.48
% 0.28/0.48 % Let_transfer
% 0.28/0.48 thf(fact_269_Let__transfer,axiom,
% 0.28/0.48 ! [A: a > a > $o,B: a > b > $o] :
% 0.28/0.48 ( bNF_re1093913501_a_b_b @ A @ ( bNF_re473406379_b_a_b @ ( bNF_rel_fun_a_a_a_b @ A @ B ) @ B )
% 0.28/0.48 @ ^ [S3: a,F2: a > a] : ( F2 @ S3 )
% 0.28/0.48 @ ^ [S3: a,F2: a > b] : ( F2 @ S3 ) ) ).
% 0.28/0.48
% 0.28/0.48 % Let_transfer
% 0.28/0.48 thf(fact_270_Let__transfer,axiom,
% 0.28/0.48 ! [A: a > a > $o,B: a > a > $o] :
% 0.28/0.48 ( bNF_re865741149_a_a_a @ A @ ( bNF_re571457705_a_a_a @ ( bNF_rel_fun_a_a_a_a @ A @ B ) @ B )
% 0.28/0.48 @ ^ [S3: a,F2: a > a] : ( F2 @ S3 )
% 0.28/0.48 @ ^ [S3: a,F2: a > a] : ( F2 @ S3 ) ) ).
% 0.28/0.48
% 0.28/0.48 % Let_transfer
% 0.28/0.48 thf(fact_271_Let__transfer,axiom,
% 0.28/0.48 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o] :
% 0.28/0.48 ( bNF_re1327926367_d_d_d @ A @ ( bNF_re84044842_c_d_d @ ( bNF_re802603882_c_d_d @ A @ B ) @ B )
% 0.28/0.48 @ ^ [S3: a,F2: a > c > c] : ( F2 @ S3 )
% 0.28/0.48 @ ^ [S3: b,F2: b > d > d] : ( F2 @ S3 ) ) ).
% 0.28/0.48
% 0.28/0.48 % Let_transfer
% 0.28/0.48 thf(fact_272_Let__transfer,axiom,
% 0.28/0.48 ! [A: c > d > $o,B: c > d > $o] :
% 0.28/0.48 ( bNF_re1313098655_d_d_d @ A @ ( bNF_re1303182826_d_c_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) @ B )
% 0.28/0.48 @ ^ [S3: c,F2: c > c] : ( F2 @ S3 )
% 0.28/0.48 @ ^ [S3: d,F2: d > d] : ( F2 @ S3 ) ) ).
% 0.28/0.48
% 0.28/0.48 % Let_transfer
% 0.28/0.48 thf(fact_273_type__copy__map__cong0,axiom,
% 0.28/0.48 ! [M: a > a,G: b > a,X: b,N: a > a,H: b > a,F: a > c > c] :
% 0.28/0.48 ( ( ( M @ ( G @ X ) )
% 0.28/0.48 = ( N @ ( H @ X ) ) )
% 0.28/0.48 => ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ F @ M ) @ G @ X )
% 0.28/0.48 = ( comp_a_c_c_b @ ( comp_a_c_c_a @ F @ N ) @ H @ X ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % type_copy_map_cong0
% 0.28/0.48 thf(fact_274_type__copy__map__cong0,axiom,
% 0.28/0.48 ! [M: a > a,G: ( c > c ) > a,X: c > c,N: ( c > c ) > a,H: ( c > c ) > c > c,F: a > a] :
% 0.28/0.48 ( ( ( M @ ( G @ X ) )
% 0.28/0.48 = ( N @ ( H @ X ) ) )
% 0.28/0.48 => ( ( comp_a_a_c_c @ ( comp_a_a_a @ F @ M ) @ G @ X )
% 0.28/0.48 = ( comp_c_c_a_c_c @ ( comp_a_a_c_c @ F @ N ) @ H @ X ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % type_copy_map_cong0
% 0.28/0.48 thf(fact_275_type__copy__map__cong0,axiom,
% 0.28/0.48 ! [M: a > a,G: ( c > c ) > a,X: c > c,N: a > a,H: ( c > c ) > a,F: a > a] :
% 0.28/0.48 ( ( ( M @ ( G @ X ) )
% 0.28/0.48 = ( N @ ( H @ X ) ) )
% 0.28/0.48 => ( ( comp_a_a_c_c @ ( comp_a_a_a @ F @ M ) @ G @ X )
% 0.28/0.48 = ( comp_a_a_c_c @ ( comp_a_a_a @ F @ N ) @ H @ X ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % type_copy_map_cong0
% 0.28/0.48 thf(fact_276_type__copy__map__cong0,axiom,
% 0.28/0.48 ! [M: a > a,G: a > a,X: a,N: ( c > c ) > a,H: a > c > c,F: a > a] :
% 0.28/0.48 ( ( ( M @ ( G @ X ) )
% 0.28/0.48 = ( N @ ( H @ X ) ) )
% 0.28/0.48 => ( ( comp_a_a_a @ ( comp_a_a_a @ F @ M ) @ G @ X )
% 0.28/0.48 = ( comp_c_c_a_a @ ( comp_a_a_c_c @ F @ N ) @ H @ X ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % type_copy_map_cong0
% 0.28/0.48 thf(fact_277_type__copy__map__cong0,axiom,
% 0.28/0.48 ! [M: a > a,G: a > a,X: a,N: a > a,H: a > a,F: a > a] :
% 0.28/0.48 ( ( ( M @ ( G @ X ) )
% 0.28/0.48 = ( N @ ( H @ X ) ) )
% 0.28/0.48 => ( ( comp_a_a_a @ ( comp_a_a_a @ F @ M ) @ G @ X )
% 0.28/0.48 = ( comp_a_a_a @ ( comp_a_a_a @ F @ N ) @ H @ X ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % type_copy_map_cong0
% 0.28/0.48 thf(fact_278_type__copy__map__cong0,axiom,
% 0.28/0.48 ! [M: b > b,G: b > b,X: b,N: b > b,H: b > b,F: b > d > d] :
% 0.28/0.48 ( ( ( M @ ( G @ X ) )
% 0.28/0.48 = ( N @ ( H @ X ) ) )
% 0.28/0.48 => ( ( comp_b_d_d_b @ ( comp_b_d_d_b @ F @ M ) @ G @ X )
% 0.28/0.48 = ( comp_b_d_d_b @ ( comp_b_d_d_b @ F @ N ) @ H @ X ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % type_copy_map_cong0
% 0.28/0.48 thf(fact_279_type__copy__map__cong0,axiom,
% 0.28/0.48 ! [M: a > a,G: a > a,X: a,N: a > a,H: a > a,F: a > c > c] :
% 0.28/0.48 ( ( ( M @ ( G @ X ) )
% 0.28/0.48 = ( N @ ( H @ X ) ) )
% 0.28/0.48 => ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ M ) @ G @ X )
% 0.28/0.48 = ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ N ) @ H @ X ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % type_copy_map_cong0
% 0.28/0.48 thf(fact_280_function__factors__right,axiom,
% 0.28/0.48 ! [G: b > d > d,F: b > d > d] :
% 0.28/0.48 ( ( ! [X3: b] :
% 0.28/0.48 ? [Y3: b] :
% 0.28/0.48 ( ( G @ Y3 )
% 0.28/0.48 = ( F @ X3 ) ) )
% 0.28/0.48 = ( ? [H2: b > b] :
% 0.28/0.48 ( F
% 0.28/0.48 = ( comp_b_d_d_b @ G @ H2 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % function_factors_right
% 0.28/0.48 thf(fact_281_function__factors__right,axiom,
% 0.28/0.48 ! [G: a > c > c,F: a > c > c] :
% 0.28/0.48 ( ( ! [X3: a] :
% 0.28/0.48 ? [Y3: a] :
% 0.28/0.48 ( ( G @ Y3 )
% 0.28/0.48 = ( F @ X3 ) ) )
% 0.28/0.48 = ( ? [H2: a > a] :
% 0.28/0.48 ( F
% 0.28/0.48 = ( comp_a_c_c_a @ G @ H2 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % function_factors_right
% 0.28/0.48 thf(fact_282_function__factors__left,axiom,
% 0.28/0.48 ! [G: b > b,F: b > d > d] :
% 0.28/0.48 ( ( ! [X3: b,Y3: b] :
% 0.28/0.48 ( ( ( G @ X3 )
% 0.28/0.48 = ( G @ Y3 ) )
% 0.28/0.48 => ( ( F @ X3 )
% 0.28/0.48 = ( F @ Y3 ) ) ) )
% 0.28/0.48 = ( ? [H2: b > d > d] :
% 0.28/0.48 ( F
% 0.28/0.48 = ( comp_b_d_d_b @ H2 @ G ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % function_factors_left
% 0.28/0.48 thf(fact_283_function__factors__left,axiom,
% 0.28/0.48 ! [G: a > a,F: a > c > c] :
% 0.28/0.48 ( ( ! [X3: a,Y3: a] :
% 0.28/0.48 ( ( ( G @ X3 )
% 0.28/0.48 = ( G @ Y3 ) )
% 0.28/0.48 => ( ( F @ X3 )
% 0.28/0.48 = ( F @ Y3 ) ) ) )
% 0.28/0.48 = ( ? [H2: a > c > c] :
% 0.28/0.48 ( F
% 0.28/0.48 = ( comp_a_c_c_a @ H2 @ G ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % function_factors_left
% 0.28/0.48 thf(fact_284_comp__cong,axiom,
% 0.28/0.48 ! [F: b > d > d,G: b > b,X: b,F3: b > d > d,G3: b > b,X5: b] :
% 0.28/0.48 ( ( ( F @ ( G @ X ) )
% 0.28/0.48 = ( F3 @ ( G3 @ X5 ) ) )
% 0.28/0.48 => ( ( comp_b_d_d_b @ F @ G @ X )
% 0.28/0.48 = ( comp_b_d_d_b @ F3 @ G3 @ X5 ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_cong
% 0.28/0.48 thf(fact_285_comp__cong,axiom,
% 0.28/0.48 ! [F: a > c > c,G: a > a,X: a,F3: a > c > c,G3: a > a,X5: a] :
% 0.28/0.48 ( ( ( F @ ( G @ X ) )
% 0.28/0.48 = ( F3 @ ( G3 @ X5 ) ) )
% 0.28/0.48 => ( ( comp_a_c_c_a @ F @ G @ X )
% 0.28/0.48 = ( comp_a_c_c_a @ F3 @ G3 @ X5 ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_cong
% 0.28/0.48 thf(fact_286_apply__rsp_H,axiom,
% 0.28/0.48 ! [R1: a > b > $o,R2: ( c > c ) > ( d > d ) > $o,F: a > c > c,G: b > d > d,X: a,Y: b] :
% 0.28/0.48 ( ( bNF_re802603882_c_d_d @ R1 @ R2 @ F @ G )
% 0.28/0.48 => ( ( R1 @ X @ Y )
% 0.28/0.48 => ( R2 @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % apply_rsp'
% 0.28/0.48 thf(fact_287_apply__rsp_H,axiom,
% 0.28/0.48 ! [R1: c > d > $o,R2: c > d > $o,F: c > c,G: d > d,X: c,Y: d] :
% 0.28/0.48 ( ( bNF_rel_fun_c_d_c_d @ R1 @ R2 @ F @ G )
% 0.28/0.48 => ( ( R1 @ X @ Y )
% 0.28/0.48 => ( R2 @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % apply_rsp'
% 0.28/0.48 thf(fact_288_rel__funE,axiom,
% 0.28/0.48 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o,F: a > c > c,G: b > d > d,X: a,Y: b] :
% 0.28/0.48 ( ( bNF_re802603882_c_d_d @ A @ B @ F @ G )
% 0.28/0.48 => ( ( A @ X @ Y )
% 0.28/0.48 => ( B @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rel_funE
% 0.28/0.48 thf(fact_289_rel__funE,axiom,
% 0.28/0.48 ! [A: c > d > $o,B: c > d > $o,F: c > c,G: d > d,X: c,Y: d] :
% 0.28/0.48 ( ( bNF_rel_fun_c_d_c_d @ A @ B @ F @ G )
% 0.28/0.48 => ( ( A @ X @ Y )
% 0.28/0.48 => ( B @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rel_funE
% 0.28/0.48 thf(fact_290_map__fun__parametric,axiom,
% 0.28/0.48 ! [A: a > b > $o,B: a > b > $o,C: ( c > c ) > ( d > d ) > $o,D2: ( c > c ) > ( d > d ) > $o] : ( bNF_re932551557_b_d_d @ ( bNF_rel_fun_a_b_a_b @ A @ B ) @ ( bNF_re141854397_b_d_d @ ( bNF_re2078100341_c_d_d @ C @ D2 ) @ ( bNF_re692482399_b_d_d @ ( bNF_re802603882_c_d_d @ B @ C ) @ ( bNF_re802603882_c_d_d @ A @ D2 ) ) ) @ map_fun_a_a_c_c_c_c @ map_fun_b_b_d_d_d_d ) ).
% 0.28/0.48
% 0.28/0.48 % map_fun_parametric
% 0.28/0.48 thf(fact_291_map__fun__parametric,axiom,
% 0.28/0.48 ! [A: c > d > $o,B: a > b > $o,C: ( c > c ) > ( d > d ) > $o,D2: c > d > $o] : ( bNF_re1164948833_d_d_d @ ( bNF_rel_fun_c_d_a_b @ A @ B ) @ ( bNF_re1238578079_d_d_d @ ( bNF_re1303182826_d_c_d @ C @ D2 ) @ ( bNF_re84044842_c_d_d @ ( bNF_re802603882_c_d_d @ B @ C ) @ ( bNF_rel_fun_c_d_c_d @ A @ D2 ) ) ) @ map_fun_c_a_c_c_c @ map_fun_d_b_d_d_d ) ).
% 0.28/0.48
% 0.28/0.48 % map_fun_parametric
% 0.28/0.48 thf(fact_292_map__fun__parametric,axiom,
% 0.28/0.48 ! [A: a > b > $o,B: c > d > $o,C: c > d > $o,D2: ( c > c ) > ( d > d ) > $o] : ( bNF_re1606289753_b_d_d @ ( bNF_rel_fun_a_b_c_d @ A @ B ) @ ( bNF_re1507718559_b_d_d @ ( bNF_re1972258794_c_d_d @ C @ D2 ) @ ( bNF_re1145286186_b_d_d @ ( bNF_rel_fun_c_d_c_d @ B @ C ) @ ( bNF_re802603882_c_d_d @ A @ D2 ) ) ) @ map_fun_a_c_c_c_c2 @ map_fun_b_d_d_d_d2 ) ).
% 0.28/0.48
% 0.28/0.48 % map_fun_parametric
% 0.28/0.48 thf(fact_293_map__fun__parametric,axiom,
% 0.28/0.48 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o,C: a > b > $o,D2: ( c > c ) > ( d > d ) > $o] : ( bNF_re364486559_b_d_d @ ( bNF_re802603882_c_d_d @ A @ B ) @ ( bNF_re387831090_b_d_d @ ( bNF_re802603882_c_d_d @ C @ D2 ) @ ( bNF_re35019871_b_d_d @ ( bNF_re1795127658_d_a_b @ B @ C ) @ ( bNF_re802603882_c_d_d @ A @ D2 ) ) ) @ map_fun_a_c_c_a_c_c @ map_fun_b_d_d_b_d_d ) ).
% 0.28/0.48
% 0.28/0.48 % map_fun_parametric
% 0.28/0.48 thf(fact_294_map__fun__parametric,axiom,
% 0.28/0.48 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o,C: c > d > $o,D2: c > d > $o] : ( bNF_re727696351_d_b_d @ ( bNF_re802603882_c_d_d @ A @ B ) @ ( bNF_re335372010_d_b_d @ ( bNF_rel_fun_c_d_c_d @ C @ D2 ) @ ( bNF_re1209333166_c_b_d @ ( bNF_re1303182826_d_c_d @ B @ C ) @ ( bNF_rel_fun_a_b_c_d @ A @ D2 ) ) ) @ map_fun_a_c_c_c_c @ map_fun_b_d_d_d_d ) ).
% 0.28/0.48
% 0.28/0.48 % map_fun_parametric
% 0.28/0.48 thf(fact_295_map__fun__parametric,axiom,
% 0.28/0.48 ! [A: c > d > $o,B: c > d > $o,C: a > b > $o,D2: ( c > c ) > ( d > d ) > $o] : ( bNF_re1709888353_d_d_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) @ ( bNF_re2120361759_d_d_d @ ( bNF_re802603882_c_d_d @ C @ D2 ) @ ( bNF_re1509948838_d_d_d @ ( bNF_rel_fun_c_d_a_b @ B @ C ) @ ( bNF_re1972258794_c_d_d @ A @ D2 ) ) ) @ map_fun_c_c_a_c_c @ map_fun_d_d_b_d_d ) ).
% 0.28/0.48
% 0.28/0.48 % map_fun_parametric
% 0.28/0.48 thf(fact_296_map__fun__parametric,axiom,
% 0.28/0.48 ! [A: c > d > $o,B: c > d > $o,C: c > d > $o,D2: c > d > $o] : ( bNF_re888371717_d_d_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) @ ( bNF_re764096061_d_d_d @ ( bNF_rel_fun_c_d_c_d @ C @ D2 ) @ ( bNF_re2078100341_c_d_d @ ( bNF_rel_fun_c_d_c_d @ B @ C ) @ ( bNF_rel_fun_c_d_c_d @ A @ D2 ) ) ) @ map_fun_c_c_c_c @ map_fun_d_d_d_d ) ).
% 0.28/0.48
% 0.28/0.48 % map_fun_parametric
% 0.28/0.48 thf(fact_297_fun__ord__parametric,axiom,
% 0.28/0.48 ! [C: a > b > $o,A: ( c > c ) > ( d > d ) > $o,B: ( c > c ) > ( d > d ) > $o] :
% 0.28/0.48 ( ( bi_total_a_b @ C )
% 0.28/0.48 => ( bNF_re19414301_d_d_o
% 0.28/0.48 @ ( bNF_re781155241_d_d_o @ A
% 0.28/0.48 @ ( bNF_re857878889_d_o_o @ B
% 0.28/0.48 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.48 @ ( bNF_re1855937521_d_d_o @ ( bNF_re802603882_c_d_d @ C @ A )
% 0.28/0.48 @ ( bNF_re1501709470_d_o_o @ ( bNF_re802603882_c_d_d @ C @ B )
% 0.28/0.48 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.48 @ partia186872226_c_c_a
% 0.28/0.48 @ partia1709452835_d_d_b ) ) ).
% 0.28/0.48
% 0.28/0.48 % fun_ord_parametric
% 0.28/0.48 thf(fact_298_fun__ord__parametric,axiom,
% 0.28/0.48 ! [C: c > d > $o,A: c > d > $o,B: c > d > $o] :
% 0.28/0.48 ( ( bi_total_c_d @ C )
% 0.28/0.48 => ( bNF_re764708765_d_d_o
% 0.28/0.48 @ ( bNF_re391428377_o_d_o @ A
% 0.28/0.48 @ ( bNF_rel_fun_c_d_o_o @ B
% 0.28/0.48 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.48 @ ( bNF_re781155241_d_d_o @ ( bNF_rel_fun_c_d_c_d @ C @ A )
% 0.28/0.48 @ ( bNF_re857878889_d_o_o @ ( bNF_rel_fun_c_d_c_d @ C @ B )
% 0.28/0.48 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.48 @ partia1494029680_c_c_c
% 0.28/0.48 @ partia1041982257_d_d_d ) ) ).
% 0.28/0.48
% 0.28/0.48 % fun_ord_parametric
% 0.28/0.48 thf(fact_299_comp__fun__commute_Ofold__mset__union,axiom,
% 0.28/0.48 ! [F: a > c > c,S: c,M: multiset_a,N: multiset_a] :
% 0.28/0.48 ( ( finite746615251te_a_c @ F )
% 0.28/0.48 => ( ( fold_mset_a_c @ F @ S @ ( plus_plus_multiset_a @ M @ N ) )
% 0.28/0.48 = ( fold_mset_a_c @ F @ ( fold_mset_a_c @ F @ S @ M ) @ N ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_fun_commute.fold_mset_union
% 0.28/0.48 thf(fact_300_comp__fun__commute_Ofold__mset__union,axiom,
% 0.28/0.48 ! [F: b > d > d,S: d,M: multiset_b,N: multiset_b] :
% 0.28/0.48 ( ( finite1574384659te_b_d @ F )
% 0.28/0.48 => ( ( fold_mset_b_d @ F @ S @ ( plus_plus_multiset_b @ M @ N ) )
% 0.28/0.48 = ( fold_mset_b_d @ F @ ( fold_mset_b_d @ F @ S @ M ) @ N ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % comp_fun_commute.fold_mset_union
% 0.28/0.48 thf(fact_301_o__prs_I1_J,axiom,
% 0.28/0.48 ! [R1: b > b > $o,Abs1: b > b,Rep1: b > b,R2: b > b > $o,Abs2: b > b,Rep2: b > b,R3: ( d > d ) > ( d > d ) > $o,Abs3: ( d > d ) > d > d,Rep3: ( d > d ) > d > d] :
% 0.28/0.48 ( ( quotient3_b_b @ R1 @ Abs1 @ Rep1 )
% 0.28/0.48 => ( ( quotient3_b_b @ R2 @ Abs2 @ Rep2 )
% 0.28/0.48 => ( ( quotient3_d_d_d_d @ R3 @ Abs3 @ Rep3 )
% 0.28/0.48 => ( ( map_fu538233110_b_d_d @ ( map_fun_b_b_d_d_d_d @ Abs2 @ Rep3 ) @ ( map_fu683206690_b_d_d @ ( map_fun_b_b_b_b @ Abs1 @ Rep2 ) @ ( map_fun_b_b_d_d_d_d @ Rep1 @ Abs3 ) ) @ comp_b_d_d_b )
% 0.28/0.48 = comp_b_d_d_b ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % o_prs(1)
% 0.28/0.48 thf(fact_302_o__prs_I1_J,axiom,
% 0.28/0.48 ! [R1: b > b > $o,Abs1: b > a,Rep1: a > b,R2: b > b > $o,Abs2: b > a,Rep2: a > b,R3: ( d > d ) > ( d > d ) > $o,Abs3: ( d > d ) > c > c,Rep3: ( c > c ) > d > d] :
% 0.28/0.48 ( ( quotient3_b_a @ R1 @ Abs1 @ Rep1 )
% 0.28/0.48 => ( ( quotient3_b_a @ R2 @ Abs2 @ Rep2 )
% 0.28/0.48 => ( ( quotient3_d_d_c_c @ R3 @ Abs3 @ Rep3 )
% 0.28/0.48 => ( ( map_fu232832790_a_c_c @ ( map_fun_b_a_c_c_d_d @ Abs2 @ Rep3 ) @ ( map_fu75729569_a_c_c @ ( map_fun_b_a_a_b @ Abs1 @ Rep2 ) @ ( map_fun_a_b_d_d_c_c @ Rep1 @ Abs3 ) ) @ comp_b_d_d_b )
% 0.28/0.48 = comp_a_c_c_a ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % o_prs(1)
% 0.28/0.48 thf(fact_303_o__prs_I1_J,axiom,
% 0.28/0.48 ! [R1: a > a > $o,Abs1: a > b,Rep1: b > a,R2: a > a > $o,Abs2: a > b,Rep2: b > a,R3: ( c > c ) > ( c > c ) > $o,Abs3: ( c > c ) > d > d,Rep3: ( d > d ) > c > c] :
% 0.28/0.48 ( ( quotient3_a_b @ R1 @ Abs1 @ Rep1 )
% 0.28/0.48 => ( ( quotient3_a_b @ R2 @ Abs2 @ Rep2 )
% 0.28/0.48 => ( ( quotient3_c_c_d_d @ R3 @ Abs3 @ Rep3 )
% 0.28/0.48 => ( ( map_fu981964822_b_d_d @ ( map_fun_a_b_d_d_c_c @ Abs2 @ Rep3 ) @ ( map_fu1569200227_b_d_d @ ( map_fun_a_b_b_a @ Abs1 @ Rep2 ) @ ( map_fun_b_a_c_c_d_d @ Rep1 @ Abs3 ) ) @ comp_a_c_c_a )
% 0.28/0.48 = comp_b_d_d_b ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % o_prs(1)
% 0.28/0.48 thf(fact_304_o__prs_I1_J,axiom,
% 0.28/0.48 ! [R1: a > a > $o,Abs1: a > a,Rep1: a > a,R2: a > a > $o,Abs2: a > a,Rep2: a > a,R3: ( c > c ) > ( c > c ) > $o,Abs3: ( c > c ) > c > c,Rep3: ( c > c ) > c > c] :
% 0.28/0.48 ( ( quotient3_a_a @ R1 @ Abs1 @ Rep1 )
% 0.28/0.48 => ( ( quotient3_a_a @ R2 @ Abs2 @ Rep2 )
% 0.28/0.48 => ( ( quotient3_c_c_c_c @ R3 @ Abs3 @ Rep3 )
% 0.28/0.48 => ( ( map_fu676564502_a_c_c @ ( map_fun_a_a_c_c_c_c @ Abs2 @ Rep3 ) @ ( map_fu961723106_a_c_c @ ( map_fun_a_a_a_a @ Abs1 @ Rep2 ) @ ( map_fun_a_a_c_c_c_c @ Rep1 @ Abs3 ) ) @ comp_a_c_c_a )
% 0.28/0.48 = comp_a_c_c_a ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % o_prs(1)
% 0.28/0.48 thf(fact_305_map__fun_Ocompositionality,axiom,
% 0.28/0.48 ! [F: b > b,G: b > d > d,H: b > d > d,I: b > b,Fun: ( d > d ) > b] :
% 0.28/0.48 ( ( map_fun_b_b_b_d_d @ F @ G @ ( map_fun_b_d_d_b_b @ H @ I @ Fun ) )
% 0.28/0.48 = ( map_fun_b_d_d_b_d_d @ ( comp_b_d_d_b @ H @ F ) @ ( comp_b_d_d_b @ G @ I ) @ Fun ) ) ).
% 0.28/0.48
% 0.28/0.48 % map_fun.compositionality
% 0.28/0.48 thf(fact_306_map__fun_Ocompositionality,axiom,
% 0.28/0.48 ! [F: b > b,G: a > c > c,H: b > d > d,I: a > a,Fun: ( d > d ) > a] :
% 0.28/0.48 ( ( map_fun_b_b_a_c_c @ F @ G @ ( map_fun_b_d_d_a_a @ H @ I @ Fun ) )
% 0.28/0.48 = ( map_fun_b_d_d_a_c_c @ ( comp_b_d_d_b @ H @ F ) @ ( comp_a_c_c_a @ G @ I ) @ Fun ) ) ).
% 0.28/0.48
% 0.28/0.48 % map_fun.compositionality
% 0.28/0.48 thf(fact_307_map__fun_Ocompositionality,axiom,
% 0.28/0.48 ! [F: a > a,G: b > d > d,H: a > c > c,I: b > b,Fun: ( c > c ) > b] :
% 0.28/0.48 ( ( map_fun_a_a_b_d_d @ F @ G @ ( map_fun_a_c_c_b_b @ H @ I @ Fun ) )
% 0.28/0.48 = ( map_fun_a_c_c_b_d_d @ ( comp_a_c_c_a @ H @ F ) @ ( comp_b_d_d_b @ G @ I ) @ Fun ) ) ).
% 0.28/0.48
% 0.28/0.48 % map_fun.compositionality
% 0.28/0.48 thf(fact_308_map__fun_Ocompositionality,axiom,
% 0.28/0.48 ! [F: a > a,G: a > c > c,H: a > c > c,I: a > a,Fun: ( c > c ) > a] :
% 0.28/0.48 ( ( map_fun_a_a_a_c_c @ F @ G @ ( map_fun_a_c_c_a_a @ H @ I @ Fun ) )
% 0.28/0.48 = ( map_fun_a_c_c_a_c_c @ ( comp_a_c_c_a @ H @ F ) @ ( comp_a_c_c_a @ G @ I ) @ Fun ) ) ).
% 0.28/0.48
% 0.28/0.48 % map_fun.compositionality
% 0.28/0.48 thf(fact_309_map__fun_Ocomp,axiom,
% 0.28/0.48 ! [F: b > b,G: b > d > d,H: b > d > d,I: b > b] :
% 0.28/0.48 ( ( comp_b_b_b_d_d_d_d_b @ ( map_fun_b_b_b_d_d @ F @ G ) @ ( map_fun_b_d_d_b_b @ H @ I ) )
% 0.28/0.48 = ( map_fun_b_d_d_b_d_d @ ( comp_b_d_d_b @ H @ F ) @ ( comp_b_d_d_b @ G @ I ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % map_fun.comp
% 0.28/0.48 thf(fact_310_map__fun_Ocomp,axiom,
% 0.28/0.48 ! [F: b > b,G: a > c > c,H: b > d > d,I: a > a] :
% 0.28/0.48 ( ( comp_b_a_b_c_c_d_d_a @ ( map_fun_b_b_a_c_c @ F @ G ) @ ( map_fun_b_d_d_a_a @ H @ I ) )
% 0.28/0.48 = ( map_fun_b_d_d_a_c_c @ ( comp_b_d_d_b @ H @ F ) @ ( comp_a_c_c_a @ G @ I ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % map_fun.comp
% 0.28/0.48 thf(fact_311_map__fun_Ocomp,axiom,
% 0.28/0.48 ! [F: a > a,G: b > d > d,H: a > c > c,I: b > b] :
% 0.28/0.48 ( ( comp_a_b_a_d_d_c_c_b @ ( map_fun_a_a_b_d_d @ F @ G ) @ ( map_fun_a_c_c_b_b @ H @ I ) )
% 0.28/0.48 = ( map_fun_a_c_c_b_d_d @ ( comp_a_c_c_a @ H @ F ) @ ( comp_b_d_d_b @ G @ I ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % map_fun.comp
% 0.28/0.48 thf(fact_312_map__fun_Ocomp,axiom,
% 0.28/0.48 ! [F: a > a,G: a > c > c,H: a > c > c,I: a > a] :
% 0.28/0.48 ( ( comp_a_a_a_c_c_c_c_a @ ( map_fun_a_a_a_c_c @ F @ G ) @ ( map_fun_a_c_c_a_a @ H @ I ) )
% 0.28/0.48 = ( map_fun_a_c_c_a_c_c @ ( comp_a_c_c_a @ H @ F ) @ ( comp_a_c_c_a @ G @ I ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % map_fun.comp
% 0.28/0.48 thf(fact_313_map__fun__def,axiom,
% 0.28/0.48 ( map_fun_b_b_b_d_d
% 0.28/0.48 = ( ^ [F2: b > b,G2: b > d > d,H2: b > b] : ( comp_b_d_d_b @ ( comp_b_d_d_b @ G2 @ H2 ) @ F2 ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % map_fun_def
% 0.28/0.48 thf(fact_314_map__fun__def,axiom,
% 0.28/0.48 ( map_fun_a_a_a_c_c
% 0.28/0.48 = ( ^ [F2: a > a,G2: a > c > c,H2: a > a] : ( comp_a_c_c_a @ ( comp_a_c_c_a @ G2 @ H2 ) @ F2 ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % map_fun_def
% 0.28/0.48 thf(fact_315_monotone__parametric,axiom,
% 0.28/0.48 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o] :
% 0.28/0.48 ( ( bi_total_a_b @ A )
% 0.28/0.48 => ( bNF_re2129955100_d_d_o
% 0.28/0.48 @ ( bNF_re418251421_o_b_o @ A
% 0.28/0.48 @ ( bNF_rel_fun_a_b_o_o @ A
% 0.28/0.48 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.48 @ ( bNF_re674980784_d_d_o
% 0.28/0.48 @ ( bNF_re781155241_d_d_o @ B
% 0.28/0.48 @ ( bNF_re857878889_d_o_o @ B
% 0.28/0.48 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.48 @ ( bNF_re1501709470_d_o_o @ ( bNF_re802603882_c_d_d @ A @ B )
% 0.28/0.48 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.48 @ comple1702356924_a_c_c
% 0.28/0.48 @ comple61207421_b_d_d ) ) ).
% 0.28/0.48
% 0.28/0.48 % monotone_parametric
% 0.28/0.48 thf(fact_316_monotone__parametric,axiom,
% 0.28/0.48 ! [A: c > d > $o,B: c > d > $o] :
% 0.28/0.48 ( ( bi_total_c_d @ A )
% 0.28/0.48 => ( bNF_re921674337_d_d_o
% 0.28/0.48 @ ( bNF_re391428377_o_d_o @ A
% 0.28/0.48 @ ( bNF_rel_fun_c_d_o_o @ A
% 0.28/0.48 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.48 @ ( bNF_re27482973_d_d_o
% 0.28/0.48 @ ( bNF_re391428377_o_d_o @ B
% 0.28/0.48 @ ( bNF_rel_fun_c_d_o_o @ B
% 0.28/0.48 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.48 @ ( bNF_re857878889_d_o_o @ ( bNF_rel_fun_c_d_c_d @ A @ B )
% 0.28/0.48 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 0.28/0.48 @ comple787379047ne_c_c
% 0.28/0.48 @ comple1615148455ne_d_d ) ) ).
% 0.28/0.48
% 0.28/0.48 % monotone_parametric
% 0.28/0.48 thf(fact_317_OOO__quotient3,axiom,
% 0.28/0.48 ! [R1: ( d > d ) > ( d > d ) > $o,Abs1: ( d > d ) > b,Rep1: b > d > d,R2: b > b > $o,Abs2: b > b,Rep2: b > b,R23: ( d > d ) > ( d > d ) > $o] :
% 0.28/0.48 ( ( quotient3_d_d_b @ R1 @ Abs1 @ Rep1 )
% 0.28/0.48 => ( ( quotient3_b_b @ R2 @ Abs2 @ Rep2 )
% 0.28/0.48 => ( ! [X2: d > d,Y2: d > d] :
% 0.28/0.48 ( ( R23 @ X2 @ Y2 )
% 0.28/0.48 => ( ( R1 @ X2 @ X2 )
% 0.28/0.48 => ( ( R1 @ Y2 @ Y2 )
% 0.28/0.48 => ( R2 @ ( Abs1 @ X2 ) @ ( Abs1 @ Y2 ) ) ) ) )
% 0.28/0.48 => ( ! [X2: b,Y2: b] :
% 0.28/0.48 ( ( R2 @ X2 @ Y2 )
% 0.28/0.48 => ( R23 @ ( Rep1 @ X2 ) @ ( Rep1 @ Y2 ) ) )
% 0.28/0.48 => ( quotient3_d_d_b @ ( relcompp_d_d_d_d_d_d @ R1 @ ( relcompp_d_d_d_d_d_d @ R23 @ R1 ) ) @ ( comp_b_b_d_d @ Abs2 @ Abs1 ) @ ( comp_b_d_d_b @ Rep1 @ Rep2 ) ) ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % OOO_quotient3
% 0.28/0.48 thf(fact_318_OOO__quotient3,axiom,
% 0.28/0.48 ! [R1: ( c > c ) > ( c > c ) > $o,Abs1: ( c > c ) > a,Rep1: a > c > c,R2: a > a > $o,Abs2: a > a,Rep2: a > a,R23: ( c > c ) > ( c > c ) > $o] :
% 0.28/0.48 ( ( quotient3_c_c_a @ R1 @ Abs1 @ Rep1 )
% 0.28/0.48 => ( ( quotient3_a_a @ R2 @ Abs2 @ Rep2 )
% 0.28/0.48 => ( ! [X2: c > c,Y2: c > c] :
% 0.28/0.48 ( ( R23 @ X2 @ Y2 )
% 0.28/0.48 => ( ( R1 @ X2 @ X2 )
% 0.28/0.48 => ( ( R1 @ Y2 @ Y2 )
% 0.28/0.48 => ( R2 @ ( Abs1 @ X2 ) @ ( Abs1 @ Y2 ) ) ) ) )
% 0.28/0.48 => ( ! [X2: a,Y2: a] :
% 0.28/0.48 ( ( R2 @ X2 @ Y2 )
% 0.28/0.48 => ( R23 @ ( Rep1 @ X2 ) @ ( Rep1 @ Y2 ) ) )
% 0.28/0.48 => ( quotient3_c_c_a @ ( relcompp_c_c_c_c_c_c @ R1 @ ( relcompp_c_c_c_c_c_c @ R23 @ R1 ) ) @ ( comp_a_a_c_c @ Abs2 @ Abs1 ) @ ( comp_a_c_c_a @ Rep1 @ Rep2 ) ) ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % OOO_quotient3
% 0.28/0.48 thf(fact_319_OOO__quotient3,axiom,
% 0.28/0.48 ! [R1: b > b > $o,Abs1: b > b,Rep1: b > b,R2: b > b > $o,Abs2: b > d > d,Rep2: ( d > d ) > b,R23: b > b > $o] :
% 0.28/0.48 ( ( quotient3_b_b @ R1 @ Abs1 @ Rep1 )
% 0.28/0.48 => ( ( quotient3_b_d_d @ R2 @ Abs2 @ Rep2 )
% 0.28/0.48 => ( ! [X2: b,Y2: b] :
% 0.28/0.48 ( ( R23 @ X2 @ Y2 )
% 0.28/0.48 => ( ( R1 @ X2 @ X2 )
% 0.28/0.48 => ( ( R1 @ Y2 @ Y2 )
% 0.28/0.48 => ( R2 @ ( Abs1 @ X2 ) @ ( Abs1 @ Y2 ) ) ) ) )
% 0.28/0.48 => ( ! [X2: b,Y2: b] :
% 0.28/0.48 ( ( R2 @ X2 @ Y2 )
% 0.28/0.48 => ( R23 @ ( Rep1 @ X2 ) @ ( Rep1 @ Y2 ) ) )
% 0.28/0.48 => ( quotient3_b_d_d @ ( relcompp_b_b_b @ R1 @ ( relcompp_b_b_b @ R23 @ R1 ) ) @ ( comp_b_d_d_b @ Abs2 @ Abs1 ) @ ( comp_b_b_d_d @ Rep1 @ Rep2 ) ) ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % OOO_quotient3
% 0.28/0.48 thf(fact_320_OOO__quotient3,axiom,
% 0.28/0.48 ! [R1: a > a > $o,Abs1: a > a,Rep1: a > a,R2: a > a > $o,Abs2: a > c > c,Rep2: ( c > c ) > a,R23: a > a > $o] :
% 0.28/0.48 ( ( quotient3_a_a @ R1 @ Abs1 @ Rep1 )
% 0.28/0.48 => ( ( quotient3_a_c_c @ R2 @ Abs2 @ Rep2 )
% 0.28/0.48 => ( ! [X2: a,Y2: a] :
% 0.28/0.48 ( ( R23 @ X2 @ Y2 )
% 0.28/0.48 => ( ( R1 @ X2 @ X2 )
% 0.28/0.48 => ( ( R1 @ Y2 @ Y2 )
% 0.28/0.48 => ( R2 @ ( Abs1 @ X2 ) @ ( Abs1 @ Y2 ) ) ) ) )
% 0.28/0.48 => ( ! [X2: a,Y2: a] :
% 0.28/0.48 ( ( R2 @ X2 @ Y2 )
% 0.28/0.48 => ( R23 @ ( Rep1 @ X2 ) @ ( Rep1 @ Y2 ) ) )
% 0.28/0.48 => ( quotient3_a_c_c @ ( relcompp_a_a_a @ R1 @ ( relcompp_a_a_a @ R23 @ R1 ) ) @ ( comp_a_c_c_a @ Abs2 @ Abs1 ) @ ( comp_a_a_c_c @ Rep1 @ Rep2 ) ) ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % OOO_quotient3
% 0.28/0.48 thf(fact_321_OOO__eq__quotient3,axiom,
% 0.28/0.48 ! [R1: ( d > d ) > ( d > d ) > $o,Abs1: ( d > d ) > b,Rep1: b > d > d,Abs2: b > b,Rep2: b > b] :
% 0.28/0.48 ( ( quotient3_d_d_b @ R1 @ Abs1 @ Rep1 )
% 0.28/0.48 => ( ( quotient3_b_b
% 0.28/0.48 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 0.28/0.48 @ Abs2
% 0.28/0.48 @ Rep2 )
% 0.28/0.48 => ( quotient3_d_d_b
% 0.28/0.48 @ ( relcompp_d_d_d_d_d_d @ R1
% 0.28/0.48 @ ( relcompp_d_d_d_d_d_d
% 0.28/0.48 @ ^ [Y4: d > d,Z2: d > d] : ( Y4 = Z2 )
% 0.28/0.48 @ R1 ) )
% 0.28/0.48 @ ( comp_b_b_d_d @ Abs2 @ Abs1 )
% 0.28/0.48 @ ( comp_b_d_d_b @ Rep1 @ Rep2 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % OOO_eq_quotient3
% 0.28/0.48 thf(fact_322_OOO__eq__quotient3,axiom,
% 0.28/0.48 ! [R1: ( c > c ) > ( c > c ) > $o,Abs1: ( c > c ) > a,Rep1: a > c > c,Abs2: a > a,Rep2: a > a] :
% 0.28/0.48 ( ( quotient3_c_c_a @ R1 @ Abs1 @ Rep1 )
% 0.28/0.48 => ( ( quotient3_a_a
% 0.28/0.48 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.48 @ Abs2
% 0.28/0.48 @ Rep2 )
% 0.28/0.48 => ( quotient3_c_c_a
% 0.28/0.48 @ ( relcompp_c_c_c_c_c_c @ R1
% 0.28/0.48 @ ( relcompp_c_c_c_c_c_c
% 0.28/0.48 @ ^ [Y4: c > c,Z2: c > c] : ( Y4 = Z2 )
% 0.28/0.48 @ R1 ) )
% 0.28/0.48 @ ( comp_a_a_c_c @ Abs2 @ Abs1 )
% 0.28/0.48 @ ( comp_a_c_c_a @ Rep1 @ Rep2 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % OOO_eq_quotient3
% 0.28/0.48 thf(fact_323_OOO__eq__quotient3,axiom,
% 0.28/0.48 ! [R1: b > b > $o,Abs1: b > b,Rep1: b > b,Abs2: b > d > d,Rep2: ( d > d ) > b] :
% 0.28/0.48 ( ( quotient3_b_b @ R1 @ Abs1 @ Rep1 )
% 0.28/0.48 => ( ( quotient3_b_d_d
% 0.28/0.48 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 0.28/0.48 @ Abs2
% 0.28/0.48 @ Rep2 )
% 0.28/0.48 => ( quotient3_b_d_d
% 0.28/0.48 @ ( relcompp_b_b_b @ R1
% 0.28/0.48 @ ( relcompp_b_b_b
% 0.28/0.48 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 0.28/0.48 @ R1 ) )
% 0.28/0.48 @ ( comp_b_d_d_b @ Abs2 @ Abs1 )
% 0.28/0.48 @ ( comp_b_b_d_d @ Rep1 @ Rep2 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % OOO_eq_quotient3
% 0.28/0.48 thf(fact_324_OOO__eq__quotient3,axiom,
% 0.28/0.48 ! [R1: a > a > $o,Abs1: a > a,Rep1: a > a,Abs2: a > c > c,Rep2: ( c > c ) > a] :
% 0.28/0.48 ( ( quotient3_a_a @ R1 @ Abs1 @ Rep1 )
% 0.28/0.48 => ( ( quotient3_a_c_c
% 0.28/0.48 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.48 @ Abs2
% 0.28/0.48 @ Rep2 )
% 0.28/0.48 => ( quotient3_a_c_c
% 0.28/0.48 @ ( relcompp_a_a_a @ R1
% 0.28/0.48 @ ( relcompp_a_a_a
% 0.28/0.48 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 0.28/0.48 @ R1 ) )
% 0.28/0.48 @ ( comp_a_c_c_a @ Abs2 @ Abs1 )
% 0.28/0.48 @ ( comp_a_a_c_c @ Rep1 @ Rep2 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % OOO_eq_quotient3
% 0.28/0.48 thf(fact_325_rev__implies__def,axiom,
% 0.28/0.48 ( rev_implies
% 0.28/0.48 = ( ^ [X3: $o,Y3: $o] :
% 0.28/0.48 ( Y3
% 0.28/0.48 => X3 ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % rev_implies_def
% 0.28/0.48 thf(fact_326_pos__fun__distr,axiom,
% 0.28/0.48 ! [R: a > a > $o,S2: ( c > c ) > ( c > c ) > $o,R5: a > b > $o,S4: ( c > c ) > ( d > d ) > $o] : ( ord_le469275661_d_d_o @ ( relcom1813708708_b_d_d @ ( bNF_re1143700905_c_c_c @ R @ S2 ) @ ( bNF_re802603882_c_d_d @ R5 @ S4 ) ) @ ( bNF_re802603882_c_d_d @ ( relcompp_a_a_b @ R @ R5 ) @ ( relcompp_c_c_c_c_d_d @ S2 @ S4 ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % pos_fun_distr
% 0.28/0.48 thf(fact_327_pos__fun__distr,axiom,
% 0.28/0.48 ! [R: c > c > $o,S2: c > c > $o,R5: c > d > $o,S4: c > d > $o] : ( ord_le1338099484_d_d_o @ ( relcompp_c_c_c_c_d_d @ ( bNF_rel_fun_c_c_c_c @ R @ S2 ) @ ( bNF_rel_fun_c_d_c_d @ R5 @ S4 ) ) @ ( bNF_rel_fun_c_d_c_d @ ( relcompp_c_c_d @ R @ R5 ) @ ( relcompp_c_c_d @ S2 @ S4 ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % pos_fun_distr
% 0.28/0.48 thf(fact_328_pos__fun__distr,axiom,
% 0.28/0.48 ! [R: a > b > $o,S2: ( c > c ) > ( d > d ) > $o,R5: b > b > $o,S4: ( d > d ) > ( d > d ) > $o] : ( ord_le469275661_d_d_o @ ( relcom1887247779_b_d_d @ ( bNF_re802603882_c_d_d @ R @ S2 ) @ ( bNF_re1844863849_d_d_d @ R5 @ S4 ) ) @ ( bNF_re802603882_c_d_d @ ( relcompp_a_b_b @ R @ R5 ) @ ( relcompp_c_c_d_d_d_d @ S2 @ S4 ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % pos_fun_distr
% 0.28/0.48 thf(fact_329_pos__fun__distr,axiom,
% 0.28/0.48 ! [R: c > d > $o,S2: c > d > $o,R5: d > d > $o,S4: d > d > $o] : ( ord_le1338099484_d_d_o @ ( relcompp_c_c_d_d_d_d @ ( bNF_rel_fun_c_d_c_d @ R @ S2 ) @ ( bNF_rel_fun_d_d_d_d @ R5 @ S4 ) ) @ ( bNF_rel_fun_c_d_c_d @ ( relcompp_c_d_d @ R @ R5 ) @ ( relcompp_c_d_d @ S2 @ S4 ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % pos_fun_distr
% 0.28/0.48 thf(fact_330_fun__mono,axiom,
% 0.28/0.48 ! [C: a > b > $o,A: a > b > $o,B: ( c > c ) > ( d > d ) > $o,D2: ( c > c ) > ( d > d ) > $o] :
% 0.28/0.48 ( ( ord_less_eq_a_b_o @ C @ A )
% 0.28/0.48 => ( ( ord_le1338099484_d_d_o @ B @ D2 )
% 0.28/0.48 => ( ord_le469275661_d_d_o @ ( bNF_re802603882_c_d_d @ A @ B ) @ ( bNF_re802603882_c_d_d @ C @ D2 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % fun_mono
% 0.28/0.48 thf(fact_331_fun__mono,axiom,
% 0.28/0.48 ! [C: c > d > $o,A: c > d > $o,B: c > d > $o,D2: c > d > $o] :
% 0.28/0.48 ( ( ord_less_eq_c_d_o @ C @ A )
% 0.28/0.48 => ( ( ord_less_eq_c_d_o @ B @ D2 )
% 0.28/0.48 => ( ord_le1338099484_d_d_o @ ( bNF_rel_fun_c_d_c_d @ A @ B ) @ ( bNF_rel_fun_c_d_c_d @ C @ D2 ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % fun_mono
% 0.28/0.48 thf(fact_332_neg__fun__distr1,axiom,
% 0.28/0.48 ! [R: a > a > $o,R5: a > b > $o,S2: ( c > c ) > ( c > c ) > $o,S4: ( c > c ) > ( d > d ) > $o] :
% 0.28/0.48 ( ( left_unique_a_a @ R )
% 0.28/0.48 => ( ( right_total_a_a @ R )
% 0.28/0.48 => ( ( right_unique_a_b @ R5 )
% 0.28/0.48 => ( ( left_total_a_b @ R5 )
% 0.28/0.48 => ( ord_le469275661_d_d_o @ ( bNF_re802603882_c_d_d @ ( relcompp_a_a_b @ R @ R5 ) @ ( relcompp_c_c_c_c_d_d @ S2 @ S4 ) ) @ ( relcom1813708708_b_d_d @ ( bNF_re1143700905_c_c_c @ R @ S2 ) @ ( bNF_re802603882_c_d_d @ R5 @ S4 ) ) ) ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % neg_fun_distr1
% 0.28/0.48 thf(fact_333_neg__fun__distr1,axiom,
% 0.28/0.48 ! [R: a > b > $o,R5: b > b > $o,S2: ( c > c ) > ( d > d ) > $o,S4: ( d > d ) > ( d > d ) > $o] :
% 0.28/0.48 ( ( left_unique_a_b @ R )
% 0.28/0.48 => ( ( right_total_a_b @ R )
% 0.28/0.48 => ( ( right_unique_b_b @ R5 )
% 0.28/0.48 => ( ( left_total_b_b @ R5 )
% 0.28/0.48 => ( ord_le469275661_d_d_o @ ( bNF_re802603882_c_d_d @ ( relcompp_a_b_b @ R @ R5 ) @ ( relcompp_c_c_d_d_d_d @ S2 @ S4 ) ) @ ( relcom1887247779_b_d_d @ ( bNF_re802603882_c_d_d @ R @ S2 ) @ ( bNF_re1844863849_d_d_d @ R5 @ S4 ) ) ) ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % neg_fun_distr1
% 0.28/0.48 thf(fact_334_neg__fun__distr1,axiom,
% 0.28/0.48 ! [R: c > c > $o,R5: c > d > $o,S2: c > c > $o,S4: c > d > $o] :
% 0.28/0.48 ( ( left_unique_c_c @ R )
% 0.28/0.48 => ( ( right_total_c_c @ R )
% 0.28/0.48 => ( ( right_unique_c_d @ R5 )
% 0.28/0.48 => ( ( left_total_c_d @ R5 )
% 0.28/0.48 => ( ord_le1338099484_d_d_o @ ( bNF_rel_fun_c_d_c_d @ ( relcompp_c_c_d @ R @ R5 ) @ ( relcompp_c_c_d @ S2 @ S4 ) ) @ ( relcompp_c_c_c_c_d_d @ ( bNF_rel_fun_c_c_c_c @ R @ S2 ) @ ( bNF_rel_fun_c_d_c_d @ R5 @ S4 ) ) ) ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % neg_fun_distr1
% 0.28/0.48 thf(fact_335_neg__fun__distr1,axiom,
% 0.28/0.48 ! [R: c > d > $o,R5: d > d > $o,S2: c > d > $o,S4: d > d > $o] :
% 0.28/0.48 ( ( left_unique_c_d @ R )
% 0.28/0.48 => ( ( right_total_c_d @ R )
% 0.28/0.48 => ( ( right_unique_d_d @ R5 )
% 0.28/0.48 => ( ( left_total_d_d @ R5 )
% 0.28/0.48 => ( ord_le1338099484_d_d_o @ ( bNF_rel_fun_c_d_c_d @ ( relcompp_c_d_d @ R @ R5 ) @ ( relcompp_c_d_d @ S2 @ S4 ) ) @ ( relcompp_c_c_d_d_d_d @ ( bNF_rel_fun_c_d_c_d @ R @ S2 ) @ ( bNF_rel_fun_d_d_d_d @ R5 @ S4 ) ) ) ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % neg_fun_distr1
% 0.28/0.48 thf(fact_336_right__unique__fun,axiom,
% 0.28/0.48 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o] :
% 0.28/0.48 ( ( right_total_a_b @ A )
% 0.28/0.48 => ( ( right_unique_c_c_d_d @ B )
% 0.28/0.48 => ( right_2142487_b_d_d @ ( bNF_re802603882_c_d_d @ A @ B ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % right_unique_fun
% 0.28/0.48 thf(fact_337_right__unique__fun,axiom,
% 0.28/0.48 ! [A: c > d > $o,B: c > d > $o] :
% 0.28/0.48 ( ( right_total_c_d @ A )
% 0.28/0.48 => ( ( right_unique_c_d @ B )
% 0.28/0.48 => ( right_unique_c_c_d_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % right_unique_fun
% 0.28/0.48 thf(fact_338_left__unique__fun,axiom,
% 0.28/0.48 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o] :
% 0.28/0.48 ( ( left_total_a_b @ A )
% 0.28/0.48 => ( ( left_unique_c_c_d_d @ B )
% 0.28/0.48 => ( left_u1654071760_b_d_d @ ( bNF_re802603882_c_d_d @ A @ B ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % left_unique_fun
% 0.28/0.48 thf(fact_339_left__unique__fun,axiom,
% 0.28/0.48 ! [A: c > d > $o,B: c > d > $o] :
% 0.28/0.48 ( ( left_total_c_d @ A )
% 0.28/0.48 => ( ( left_unique_c_d @ B )
% 0.28/0.48 => ( left_unique_c_c_d_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % left_unique_fun
% 0.28/0.48 thf(fact_340_right__total__fun,axiom,
% 0.28/0.48 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o] :
% 0.28/0.48 ( ( right_unique_a_b @ A )
% 0.28/0.48 => ( ( right_total_c_c_d_d @ B )
% 0.28/0.48 => ( right_386984928_b_d_d @ ( bNF_re802603882_c_d_d @ A @ B ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % right_total_fun
% 0.28/0.48 thf(fact_341_right__total__fun,axiom,
% 0.28/0.48 ! [A: c > d > $o,B: c > d > $o] :
% 0.28/0.48 ( ( right_unique_c_d @ A )
% 0.28/0.48 => ( ( right_total_c_d @ B )
% 0.28/0.48 => ( right_total_c_c_d_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % right_total_fun
% 0.28/0.48 thf(fact_342_left__total__fun,axiom,
% 0.28/0.48 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o] :
% 0.28/0.48 ( ( left_unique_a_b @ A )
% 0.28/0.48 => ( ( left_total_c_c_d_d @ B )
% 0.28/0.48 => ( left_t1993719015_b_d_d @ ( bNF_re802603882_c_d_d @ A @ B ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % left_total_fun
% 0.28/0.48 thf(fact_343_left__total__fun,axiom,
% 0.28/0.48 ! [A: c > d > $o,B: c > d > $o] :
% 0.28/0.48 ( ( left_unique_c_d @ A )
% 0.28/0.48 => ( ( left_total_c_d @ B )
% 0.28/0.48 => ( left_total_c_c_d_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % left_total_fun
% 0.28/0.48 thf(fact_344_neg__fun__distr2,axiom,
% 0.28/0.48 ! [R5: a > b > $o,S4: ( c > c ) > ( d > d ) > $o,R: a > a > $o,S2: ( c > c ) > ( c > c ) > $o] :
% 0.28/0.48 ( ( right_unique_a_b @ R5 )
% 0.28/0.48 => ( ( left_total_a_b @ R5 )
% 0.28/0.48 => ( ( left_unique_c_c_d_d @ S4 )
% 0.28/0.48 => ( ( right_total_c_c_d_d @ S4 )
% 0.28/0.48 => ( ord_le469275661_d_d_o @ ( bNF_re802603882_c_d_d @ ( relcompp_a_a_b @ R @ R5 ) @ ( relcompp_c_c_c_c_d_d @ S2 @ S4 ) ) @ ( relcom1813708708_b_d_d @ ( bNF_re1143700905_c_c_c @ R @ S2 ) @ ( bNF_re802603882_c_d_d @ R5 @ S4 ) ) ) ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % neg_fun_distr2
% 0.28/0.48 thf(fact_345_neg__fun__distr2,axiom,
% 0.28/0.48 ! [R5: b > b > $o,S4: ( d > d ) > ( d > d ) > $o,R: a > b > $o,S2: ( c > c ) > ( d > d ) > $o] :
% 0.28/0.48 ( ( right_unique_b_b @ R5 )
% 0.28/0.48 => ( ( left_total_b_b @ R5 )
% 0.28/0.48 => ( ( left_unique_d_d_d_d @ S4 )
% 0.28/0.48 => ( ( right_total_d_d_d_d @ S4 )
% 0.28/0.48 => ( ord_le469275661_d_d_o @ ( bNF_re802603882_c_d_d @ ( relcompp_a_b_b @ R @ R5 ) @ ( relcompp_c_c_d_d_d_d @ S2 @ S4 ) ) @ ( relcom1887247779_b_d_d @ ( bNF_re802603882_c_d_d @ R @ S2 ) @ ( bNF_re1844863849_d_d_d @ R5 @ S4 ) ) ) ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % neg_fun_distr2
% 0.28/0.48 thf(fact_346_neg__fun__distr2,axiom,
% 0.28/0.48 ! [R5: c > d > $o,S4: c > d > $o,R: c > c > $o,S2: c > c > $o] :
% 0.28/0.48 ( ( right_unique_c_d @ R5 )
% 0.28/0.48 => ( ( left_total_c_d @ R5 )
% 0.28/0.48 => ( ( left_unique_c_d @ S4 )
% 0.28/0.48 => ( ( right_total_c_d @ S4 )
% 0.28/0.48 => ( ord_le1338099484_d_d_o @ ( bNF_rel_fun_c_d_c_d @ ( relcompp_c_c_d @ R @ R5 ) @ ( relcompp_c_c_d @ S2 @ S4 ) ) @ ( relcompp_c_c_c_c_d_d @ ( bNF_rel_fun_c_c_c_c @ R @ S2 ) @ ( bNF_rel_fun_c_d_c_d @ R5 @ S4 ) ) ) ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % neg_fun_distr2
% 0.28/0.48 thf(fact_347_neg__fun__distr2,axiom,
% 0.28/0.48 ! [R5: d > d > $o,S4: d > d > $o,R: c > d > $o,S2: c > d > $o] :
% 0.28/0.48 ( ( right_unique_d_d @ R5 )
% 0.28/0.48 => ( ( left_total_d_d @ R5 )
% 0.28/0.48 => ( ( left_unique_d_d @ S4 )
% 0.28/0.48 => ( ( right_total_d_d @ S4 )
% 0.28/0.48 => ( ord_le1338099484_d_d_o @ ( bNF_rel_fun_c_d_c_d @ ( relcompp_c_d_d @ R @ R5 ) @ ( relcompp_c_d_d @ S2 @ S4 ) ) @ ( relcompp_c_c_d_d_d_d @ ( bNF_rel_fun_c_d_c_d @ R @ S2 ) @ ( bNF_rel_fun_d_d_d_d @ R5 @ S4 ) ) ) ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % neg_fun_distr2
% 0.28/0.48 thf(fact_348_bi__unique__fun,axiom,
% 0.28/0.48 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o] :
% 0.28/0.48 ( ( bi_total_a_b @ A )
% 0.28/0.48 => ( ( bi_unique_c_c_d_d @ B )
% 0.28/0.48 => ( bi_uni844770768_b_d_d @ ( bNF_re802603882_c_d_d @ A @ B ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % bi_unique_fun
% 0.28/0.48 thf(fact_349_bi__unique__fun,axiom,
% 0.28/0.48 ! [A: c > d > $o,B: c > d > $o] :
% 0.28/0.48 ( ( bi_total_c_d @ A )
% 0.28/0.48 => ( ( bi_unique_c_d @ B )
% 0.28/0.48 => ( bi_unique_c_c_d_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % bi_unique_fun
% 0.28/0.48 thf(fact_350_bi__total__fun,axiom,
% 0.28/0.48 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o] :
% 0.28/0.48 ( ( bi_unique_a_b @ A )
% 0.28/0.48 => ( ( bi_total_c_c_d_d @ B )
% 0.28/0.48 => ( bi_total_a_c_c_b_d_d @ ( bNF_re802603882_c_d_d @ A @ B ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % bi_total_fun
% 0.28/0.48 thf(fact_351_bi__total__fun,axiom,
% 0.28/0.48 ! [A: c > d > $o,B: c > d > $o] :
% 0.28/0.48 ( ( bi_unique_c_d @ A )
% 0.28/0.48 => ( ( bi_total_c_d @ B )
% 0.28/0.48 => ( bi_total_c_c_d_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) ) ) ) ).
% 0.28/0.48
% 0.28/0.48 % bi_total_fun
% 0.28/0.48 thf(fact_352_fun__upd__transfer,axiom,
% 0.28/0.48 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o] :
% 0.28/0.48 ( ( bi_unique_a_b @ A )
% 0.28/0.48 => ( bNF_re1424479610_b_d_d @ ( bNF_re802603882_c_d_d @ A @ B ) @ ( bNF_re1573878111_b_d_d @ A @ ( bNF_re1145286186_b_d_d @ B @ ( bNF_re802603882_c_d_d @ A @ B ) ) ) @ fun_upd_a_c_c @ fun_upd_b_d_d ) ) ).
% 0.28/0.48
% 0.28/0.48 % fun_upd_transfer
% 0.28/0.48 thf(fact_353_fun__upd__transfer,axiom,
% 0.28/0.48 ! [A: c > d > $o,B: c > d > $o] :
% 0.28/0.48 ( ( bi_unique_c_d @ A )
% 0.28/0.48 => ( bNF_re1941803873_d_d_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) @ ( bNF_re822780063_d_d_d @ A @ ( bNF_re1972258794_c_d_d @ B @ ( bNF_rel_fun_c_d_c_d @ A @ B ) ) ) @ fun_upd_c_c @ fun_upd_d_d ) ) ).
% 0.28/0.48
% 0.28/0.48 % fun_upd_transfer
% 0.28/0.48
% 0.28/0.48 % Helper facts (9)
% 0.28/0.48 thf(help_If_2_1_If_001tf__a_T,axiom,
% 0.28/0.48 ! [X: a,Y: a] :
% 0.28/0.48 ( ( if_a @ $false @ X @ Y )
% 0.28/0.48 = Y ) ).
% 0.28/0.48
% 0.28/0.48 thf(help_If_1_1_If_001tf__a_T,axiom,
% 0.28/0.48 ! [X: a,Y: a] :
% 0.28/0.48 ( ( if_a @ $true @ X @ Y )
% 0.28/0.48 = X ) ).
% 0.28/0.48
% 0.28/0.48 thf(help_If_2_1_If_001tf__b_T,axiom,
% 0.28/0.48 ! [X: b,Y: b] :
% 0.28/0.48 ( ( if_b @ $false @ X @ Y )
% 0.28/0.48 = Y ) ).
% 0.28/0.48
% 0.28/0.48 thf(help_If_1_1_If_001tf__b_T,axiom,
% 0.28/0.48 ! [X: b,Y: b] :
% 0.28/0.48 ( ( if_b @ $true @ X @ Y )
% 0.28/0.48 = X ) ).
% 0.28/0.48
% 0.28/0.48 thf(help_If_2_1_If_001tf__c_T,axiom,
% 0.28/0.48 ! [X: c,Y: c] :
% 0.28/0.48 ( ( if_c @ $false @ X @ Y )
% 0.28/0.48 = Y ) ).
% 0.28/0.48
% 0.28/0.48 thf(help_If_1_1_If_001tf__c_T,axiom,
% 0.28/0.48 ! [X: c,Y: c] :
% 0.28/0.48 ( ( if_c @ $true @ X @ Y )
% 0.28/0.48 = X ) ).
% 0.28/0.48
% 0.28/0.48 thf(help_If_3_1_If_001tf__d_T,axiom,
% 0.28/0.48 ! [P: $o] :
% 0.28/0.48 ( ( P = $true )
% 0.28/0.48 | ( P = $false ) ) ).
% 0.28/0.48
% 0.28/0.48 thf(help_If_2_1_If_001tf__d_T,axiom,
% 0.28/0.48 ! [X: d,Y: d] :
% 0.28/0.48 ( ( if_d @ $false @ X @ Y )
% 0.28/0.48 = Y ) ).
% 0.28/0.48
% 0.28/0.48 thf(help_If_1_1_If_001tf__d_T,axiom,
% 0.28/0.48 ! [X: d,Y: d] :
% 0.28/0.48 ( ( if_d @ $true @ X @ Y )
% 0.28/0.48 = X ) ).
% 0.28/0.48
% 0.28/0.48 % Conjectures (1)
% 0.28/0.48 thf(conj_0,conjecture,
% 0.28/0.48 finite746615251te_a_c @ f1 ).
% 0.28/0.48
% 0.28/0.48 %------------------------------------------------------------------------------
% 0.28/0.48 ------------------------
% 2.88/1.55 ---- Embedded in THF ---
% 2.88/1.56 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 2.88/1.56 %%% Generated on Tue Feb 24 08:27:34 EST 2026
% 2.88/1.56 %%% using '$$dhol' embedding, version 1.3.0.
% 2.88/1.56 %%% Logic specification used:
% 2.88/1.56 %%% thf(spec, logic, $$dhol).
% 2.88/1.56
% 2.88/1.56 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.wLx8bn5BWO/DTF2DTF16955.p
% See solution above
% 2.88/1.56 ------------------------
% 3.04/1.62 ---- Cleaned THF ---
% 3.04/1.62 thf(ty_n_t__Multiset__Omultiset_Itf__b_J,type,
% 3.04/1.62 multiset_b: $tType ).
% 3.04/1.62
% 3.04/1.62 thf(ty_n_t__Multiset__Omultiset_Itf__a_J,type,
% 3.04/1.62 multiset_a: $tType ).
% 3.04/1.62
% 3.04/1.62 thf(ty_n_t__FSet__Ofset_Itf__b_J,type,
% 3.04/1.62 fset_b: $tType ).
% 3.04/1.62
% 3.04/1.62 thf(ty_n_t__FSet__Ofset_Itf__a_J,type,
% 3.04/1.62 fset_a: $tType ).
% 3.04/1.62
% 3.04/1.62 thf(ty_n_t__Set__Oset_Itf__d_J,type,
% 3.04/1.62 set_d: $tType ).
% 3.04/1.62
% 3.04/1.62 thf(ty_n_t__Set__Oset_Itf__c_J,type,
% 3.04/1.62 set_c: $tType ).
% 3.04/1.62
% 3.04/1.62 thf(ty_n_t__Set__Oset_Itf__b_J,type,
% 3.04/1.62 set_b: $tType ).
% 3.04/1.62
% 3.04/1.62 thf(ty_n_t__Set__Oset_Itf__a_J,type,
% 3.04/1.62 set_a: $tType ).
% 3.04/1.62
% 3.04/1.62 thf(ty_n_tf__d,type,
% 3.04/1.62 d: $tType ).
% 3.04/1.62
% 3.04/1.62 thf(ty_n_tf__c,type,
% 3.04/1.62 c: $tType ).
% 3.04/1.62
% 3.04/1.62 thf(ty_n_tf__b,type,
% 3.04/1.62 b: $tType ).
% 3.04/1.62
% 3.04/1.62 thf(ty_n_tf__a,type,
% 3.04/1.62 a: $tType ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_Eo_J_J,type,
% 3.04/1.62 bNF_re19414301_d_d_o: ( ( ( c > c ) > ( c > c ) > $o ) > ( ( d > d ) > ( d > d ) > $o ) > $o ) > ( ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( b > d > d ) > ( b > d > d ) > $o ) > $o ) > ( ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > ( a > c > c ) > $o ) > ( ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > ( b > d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_Eo_J,type,
% 3.04/1.62 bNF_re674980784_d_d_o: ( ( ( c > c ) > ( c > c ) > $o ) > ( ( d > d ) > ( d > d ) > $o ) > $o ) > ( ( ( a > c > c ) > $o ) > ( ( b > d > d ) > $o ) > $o ) > ( ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > $o ) > ( ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_J_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J,type,
% 3.04/1.62 bNF_re1867846365_a_a_o: ( ( ( c > c ) > ( c > c ) > $o ) > ( a > a > $o ) > $o ) > ( ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ) > ( ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_J_001_062_Itf__a_M_062_Itf__b_M_Eo_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_J,type,
% 3.04/1.62 bNF_re708047067_a_b_o: ( ( ( c > c ) > ( c > c ) > $o ) > ( a > b > $o ) > $o ) > ( ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ) > ( ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J,type,
% 3.04/1.62 bNF_re145798749_a_a_o: ( ( ( c > c ) > ( d > d ) > $o ) > ( a > a > $o ) > $o ) > ( ( ( a > c > c ) > ( a > d > d ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ) > ( ( ( c > c ) > ( d > d ) > $o ) > ( a > c > c ) > ( a > d > d ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J_001_062_Itf__a_M_062_Itf__b_M_Eo_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_J,type,
% 3.04/1.62 bNF_re1133483099_a_b_o: ( ( ( c > c ) > ( d > d ) > $o ) > ( a > b > $o ) > $o ) > ( ( ( a > c > c ) > ( a > d > d ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ) > ( ( ( c > c ) > ( d > d ) > $o ) > ( a > c > c ) > ( a > d > d ) > $o ) > ( ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J,type,
% 3.04/1.62 bNF_re141854397_b_d_d: ( ( ( c > c ) > c > c ) > ( ( d > d ) > d > d ) > $o ) > ( ( ( a > c > c ) > a > c > c ) > ( ( b > d > d ) > b > d > d ) > $o ) > ( ( ( c > c ) > c > c ) > ( a > c > c ) > a > c > c ) > ( ( ( d > d ) > d > d ) > ( b > d > d ) > b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 bNF_re35019871_b_d_d: ( ( ( c > c ) > a ) > ( ( d > d ) > b ) > $o ) > ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( c > c ) > a ) > a > c > c ) > ( ( ( d > d ) > b ) > b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J_001_062_Itf__a_Mtf__a_J,type,
% 3.04/1.62 bNF_re1177671453_a_a_a: ( ( ( c > c ) > a ) > ( a > a ) > $o ) > ( ( ( c > c ) > a ) > ( a > a ) > $o ) > ( ( ( c > c ) > a ) > ( c > c ) > a ) > ( ( a > a ) > a > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__d_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 bNF_re1238578079_d_d_d: ( ( ( c > c ) > c ) > ( ( d > d ) > d ) > $o ) > ( ( ( a > c > c ) > c > c ) > ( ( b > d > d ) > d > d ) > $o ) > ( ( ( c > c ) > c ) > ( a > c > c ) > c > c ) > ( ( ( d > d ) > d ) > ( b > d > d ) > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__d_J_001_062_Itf__a_Mtf__c_J_001_062_Itf__b_Mtf__d_J,type,
% 3.04/1.62 bNF_re1209333166_c_b_d: ( ( ( c > c ) > c ) > ( ( d > d ) > d ) > $o ) > ( ( a > c ) > ( b > d ) > $o ) > ( ( ( c > c ) > c ) > a > c ) > ( ( ( d > d ) > d ) > b > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_001_062_Itf__b_Mtf__b_J,type,
% 3.04/1.62 bNF_re323253981_b_b_b: ( ( ( d > d ) > b ) > ( b > b ) > $o ) > ( ( ( d > d ) > b ) > ( b > b ) > $o ) > ( ( ( d > d ) > b ) > ( d > d ) > b ) > ( ( b > b ) > b > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J,type,
% 3.04/1.62 bNF_re1403739741_a_a_o: ( ( a > a > $o ) > ( a > a > $o ) > $o ) > ( ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_Itf__a_M_062_Itf__b_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_J,type,
% 3.04/1.62 bNF_re1165460699_a_b_o: ( ( a > a > $o ) > ( a > b > $o ) > $o ) > ( ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_Itf__b_M_062_Itf__a_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__b_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J,type,
% 3.04/1.62 bNF_re1310167325_a_a_o: ( ( a > a > $o ) > ( b > a > $o ) > $o ) > ( ( ( a > a ) > ( a > a ) > $o ) > ( ( a > b ) > ( a > a ) > $o ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > ( ( b > a > $o ) > ( a > b ) > ( a > a ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_Itf__b_M_062_Itf__b_M_Eo_J_J_001_062_I_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_J_M_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_J_001_062_I_062_I_062_Itf__d_Mtf__d_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J_M_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_Eo_J_J,type,
% 3.04/1.62 bNF_re2129955100_d_d_o: ( ( a > a > $o ) > ( b > b > $o ) > $o ) > ( ( ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > $o ) > ( ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > $o ) > $o ) > ( ( a > a > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > $o ) > ( ( b > b > $o ) > ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_Itf__b_M_062_Itf__b_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__b_J_M_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_J,type,
% 3.04/1.62 bNF_re1071888283_a_b_o: ( ( a > a > $o ) > ( b > b > $o ) > $o ) > ( ( ( a > a ) > ( a > a ) > $o ) > ( ( a > b ) > ( a > b ) > $o ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > ( ( b > b > $o ) > ( a > b ) > ( a > b ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__b_M_Eo_J_J_001_062_Itf__a_M_062_Itf__a_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_J,type,
% 3.04/1.62 bNF_re231976415_a_a_o: ( ( a > b > $o ) > ( a > a > $o ) > $o ) > ( ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ) > ( ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ) > ( ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__b_M_Eo_J_J_001_062_Itf__a_M_062_Itf__b_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_J,type,
% 3.04/1.62 bNF_re2141181021_a_b_o: ( ( a > b > $o ) > ( a > b > $o ) > $o ) > ( ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ) > ( ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ) > ( ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J,type,
% 3.04/1.62 bNF_re880840541_a_c_c: ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( ( a > a ) > a > c > c ) > ( ( a > a ) > a > c > c ) > $o ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__b_Mtf__a_J_M_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_J,type,
% 3.04/1.62 bNF_re1311853791_b_c_c: ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( ( a > a ) > a > c > c ) > ( ( b > a ) > b > c > c ) > $o ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > ( ( a > c > c ) > ( b > a ) > b > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__b_Mtf__a_J_M_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J,type,
% 3.04/1.62 bNF_re978949211_a_c_c: ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( ( b > a ) > b > c > c ) > ( ( a > a ) > a > c > c ) > $o ) > ( ( a > c > c ) > ( b > a ) > b > c > c ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__b_Mtf__a_J_M_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__b_Mtf__a_J_M_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_J,type,
% 3.04/1.62 bNF_re1409962461_b_c_c: ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( ( b > a ) > b > c > c ) > ( ( b > a ) > b > c > c ) > $o ) > ( ( a > c > c ) > ( b > a ) > b > c > c ) > ( ( a > c > c ) > ( b > a ) > b > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 bNF_re27458217_c_c_c: ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( ( a > c > c ) > c > c ) > ( ( a > c > c ) > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 bNF_re1955249705_c_d_d: ( ( a > c > c ) > ( a > d > d ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( ( a > c > c ) > c > c ) > ( ( a > d > d ) > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J,type,
% 3.04/1.62 bNF_re1684125987_a_a_o: ( ( a > c > c ) > ( a > a ) > $o ) > ( ( ( a > c > c ) > $o ) > ( ( a > a ) > $o ) > $o ) > ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__b_J_M_Eo_J,type,
% 3.04/1.62 bNF_re364411746_a_b_o: ( ( a > c > c ) > ( a > a ) > $o ) > ( ( ( a > c > c ) > $o ) > ( ( a > b ) > $o ) > $o ) > ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J,type,
% 3.04/1.62 bNF_re1652452067_a_a_o: ( ( a > c > c ) > ( a > a ) > $o ) > ( ( ( a > d > d ) > $o ) > ( ( a > a ) > $o ) > $o ) > ( ( a > c > c ) > ( a > d > d ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__b_J_M_Eo_J,type,
% 3.04/1.62 bNF_re332737826_a_b_o: ( ( a > c > c ) > ( a > a ) > $o ) > ( ( ( a > d > d ) > $o ) > ( ( a > b ) > $o ) > $o ) > ( ( a > c > c ) > ( a > d > d ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_Mtf__a_J_001_Eo_001_Eo,type,
% 3.04/1.62 bNF_re2074539676_a_o_o: ( ( a > c > c ) > ( a > a ) > $o ) > ( $o > $o > $o ) > ( ( a > c > c ) > $o ) > ( ( a > a ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_Mtf__b_J_001_Eo_001_Eo,type,
% 3.04/1.62 bNF_re1256092317_b_o_o: ( ( a > c > c ) > ( a > b ) > $o ) > ( $o > $o > $o ) > ( ( a > c > c ) > $o ) > ( ( a > b ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J,type,
% 3.04/1.62 bNF_re387831090_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( ( c > c ) > a ) > a > c > c ) > ( ( ( d > d ) > b ) > b > d > d ) > $o ) > ( ( a > c > c ) > ( ( c > c ) > a ) > a > c > c ) > ( ( b > d > d ) > ( ( d > d ) > b ) > b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_I_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_J,type,
% 3.04/1.62 bNF_re364486559_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( a > c > c ) > ( ( c > c ) > a ) > a > c > c ) > ( ( b > d > d ) > ( ( d > d ) > b ) > b > d > d ) > $o ) > ( ( a > c > c ) > ( a > c > c ) > ( ( c > c ) > a ) > a > c > c ) > ( ( b > d > d ) > ( b > d > d ) > ( ( d > d ) > b ) > b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_Eo_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_Eo_J,type,
% 3.04/1.62 bNF_re1855937521_d_d_o: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( a > c > c ) > $o ) > ( ( b > d > d ) > $o ) > $o ) > ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( b > d > d ) > ( b > d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__a_Mtf__b_J_M_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_J,type,
% 3.04/1.62 bNF_re631104669_a_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( a > a ) > a > c > c ) > ( ( a > b ) > a > d > d ) > $o ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > ( ( b > d > d ) > ( a > b ) > a > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J,type,
% 3.04/1.62 bNF_re1062117919_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( a > a ) > a > c > c ) > ( ( b > b ) > b > d > d ) > $o ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > ( ( b > d > d ) > ( b > b ) > b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__b_Mtf__a_J_M_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J,type,
% 3.04/1.62 bNF_re1160226589_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( b > a ) > b > c > c ) > ( ( b > b ) > b > d > d ) > $o ) > ( ( a > c > c ) > ( b > a ) > b > c > c ) > ( ( b > d > d ) > ( b > b ) > b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__c_Mtf__a_J_M_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__d_Mtf__b_J_M_062_Itf__d_M_062_Itf__d_Mtf__d_J_J_J,type,
% 3.04/1.62 bNF_re2120361759_d_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( c > a ) > c > c > c ) > ( ( d > b ) > d > d > d ) > $o ) > ( ( a > c > c ) > ( c > a ) > c > c > c ) > ( ( b > d > d ) > ( d > b ) > d > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_M_062_Itf__a_Mtf__c_J_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_I_062_I_062_Itf__d_Mtf__d_J_Mtf__d_J_M_062_Itf__b_Mtf__d_J_J_J,type,
% 3.04/1.62 bNF_re727696351_d_b_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( ( c > c ) > ( ( c > c ) > c ) > a > c ) > ( ( d > d ) > ( ( d > d ) > d ) > b > d ) > $o ) > ( ( a > c > c ) > ( c > c ) > ( ( c > c ) > c ) > a > c ) > ( ( b > d > d ) > ( d > d ) > ( ( d > d ) > d ) > b > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_M_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_J_001_062_Itf__b_M_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_J,type,
% 3.04/1.62 bNF_re1424479610_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( a > ( c > c ) > a > c > c ) > ( b > ( d > d ) > b > d > d ) > $o ) > ( ( a > c > c ) > a > ( c > c ) > a > c > c ) > ( ( b > d > d ) > b > ( d > d ) > b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 bNF_re692482399_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( a > c > c ) > a > c > c ) > ( ( b > d > d ) > b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 bNF_re84044842_c_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( ( a > c > c ) > c > c ) > ( ( b > d > d ) > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_Eo_001_Eo,type,
% 3.04/1.62 bNF_re1501709470_d_o_o: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( $o > $o > $o ) > ( ( a > c > c ) > $o ) > ( ( b > d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_Mtf__a_J_001_Eo_001_Eo,type,
% 3.04/1.62 bNF_re1620723804_a_o_o: ( ( a > d > d ) > ( a > a ) > $o ) > ( $o > $o > $o ) > ( ( a > d > d ) > $o ) > ( ( a > a ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_Mtf__b_J_001_Eo_001_Eo,type,
% 3.04/1.62 bNF_re802276445_b_o_o: ( ( a > d > d ) > ( a > b ) > $o ) > ( $o > $o > $o ) > ( ( a > d > d ) > $o ) > ( ( a > b ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J_M_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J,type,
% 3.04/1.62 bNF_re1503602041_a_a_a: ( ( a > a ) > ( a > a ) > $o ) > ( ( ( ( c > c ) > a ) > ( c > c ) > a ) > ( ( a > a ) > a > a ) > $o ) > ( ( a > a ) > ( ( c > c ) > a ) > ( c > c ) > a ) > ( ( a > a ) > ( a > a ) > a > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J,type,
% 3.04/1.62 bNF_re1258259453_a_a_a: ( ( a > a ) > ( a > a ) > $o ) > ( ( ( a > a ) > a > a ) > ( ( a > a ) > a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a > a ) > ( ( a > a ) > ( a > a ) > a > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J,type,
% 3.04/1.62 bNF_re1900831913_a_a_o: ( ( a > a ) > ( a > a ) > $o ) > ( ( ( a > a ) > $o ) > ( ( a > a ) > $o ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__b_J_M_Eo_J,type,
% 3.04/1.62 bNF_re581117672_a_b_o: ( ( a > a ) > ( a > a ) > $o ) > ( ( ( a > a ) > $o ) > ( ( a > b ) > $o ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J,type,
% 3.04/1.62 bNF_re984549674_a_a_o: ( ( a > a ) > ( a > a ) > $o ) > ( ( ( a > b ) > $o ) > ( ( a > a ) > $o ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__a_Mtf__b_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__b_J_M_Eo_J,type,
% 3.04/1.62 bNF_re1812319081_a_b_o: ( ( a > a ) > ( a > a ) > $o ) > ( ( ( a > b ) > $o ) > ( ( a > b ) > $o ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J,type,
% 3.04/1.62 bNF_re1691224489_a_c_c: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > a ) > a > c > c ) > ( ( a > a ) > a > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J,type,
% 3.04/1.62 bNF_re1690311157_a_a_a: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > a > a ) > ( ( a > a ) > a > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J,type,
% 3.04/1.62 bNF_re1698572662_a_a_b: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > a > a ) > ( ( a > a ) > a > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_Eo_001_Eo,type,
% 3.04/1.62 bNF_re134330537_a_o_o: ( ( a > a ) > ( a > a ) > $o ) > ( $o > $o > $o ) > ( ( a > a ) > $o ) > ( ( a > a ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001tf__a_001tf__a,type,
% 3.04/1.62 bNF_re571457705_a_a_a: ( ( a > a ) > ( a > a ) > $o ) > ( a > a > $o ) > ( ( a > a ) > a ) > ( ( a > a ) > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__b_J_J,type,
% 3.04/1.62 bNF_re1514436479_a_a_b: ( ( a > a ) > ( a > b ) > $o ) > ( ( ( a > a ) > a > a ) > ( ( a > a ) > a > b ) > $o ) > ( ( a > a ) > ( a > a ) > a > a ) > ( ( a > b ) > ( a > a ) > a > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J,type,
% 3.04/1.62 bNF_re390230442_a_a_o: ( ( a > a ) > ( a > b ) > $o ) > ( ( ( a > a ) > $o ) > ( ( a > a ) > $o ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( ( a > b ) > ( a > a ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001_062_I_062_Itf__a_Mtf__a_J_M_Eo_J_001_062_I_062_Itf__a_Mtf__b_J_M_Eo_J,type,
% 3.04/1.62 bNF_re1217999849_a_b_o: ( ( a > a ) > ( a > b ) > $o ) > ( ( ( a > a ) > $o ) > ( ( a > b ) > $o ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( ( a > b ) > ( a > b ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 bNF_re1787520874_a_d_d: ( ( a > a ) > ( a > b ) > $o ) > ( ( a > c > c ) > ( a > d > d ) > $o ) > ( ( a > a ) > a > c > c ) > ( ( a > b ) > a > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J,type,
% 3.04/1.62 bNF_re857382262_a_a_a: ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > a > a ) > ( ( a > b ) > a > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J,type,
% 3.04/1.62 bNF_re865643767_a_a_b: ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > ( a > b ) > $o ) > ( ( a > a ) > a > a ) > ( ( a > b ) > a > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001_Eo_001_Eo,type,
% 3.04/1.62 bNF_re1463366826_b_o_o: ( ( a > a ) > ( a > b ) > $o ) > ( $o > $o > $o ) > ( ( a > a ) > $o ) > ( ( a > b ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__b_J_001tf__a_001tf__b,type,
% 3.04/1.62 bNF_re473406379_b_a_b: ( ( a > a ) > ( a > b ) > $o ) > ( a > b > $o ) > ( ( a > a ) > a ) > ( ( a > b ) > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__a_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J_001_062_I_062_Itf__a_Mtf__b_J_M_062_Itf__a_Mtf__a_J_J,type,
% 3.04/1.62 bNF_re539937469_b_a_a: ( ( a > a ) > ( b > a ) > $o ) > ( ( ( a > a ) > a > a ) > ( ( a > b ) > a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a > a ) > ( ( b > a ) > ( a > b ) > a > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__a_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__c_Mtf__c_J_J,type,
% 3.04/1.62 bNF_re1665173865_b_c_c: ( ( a > a ) > ( b > a ) > $o ) > ( ( a > c > c ) > ( b > c > c ) > $o ) > ( ( a > a ) > a > c > c ) > ( ( b > a ) > b > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_J_001_062_I_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__d_Mtf__d_J_J_M_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_J,type,
% 3.04/1.62 bNF_re932551557_b_d_d: ( ( a > a ) > ( b > b ) > $o ) > ( ( ( ( c > c ) > c > c ) > ( a > c > c ) > a > c > c ) > ( ( ( d > d ) > d > d ) > ( b > d > d ) > b > d > d ) > $o ) > ( ( a > a ) > ( ( c > c ) > c > c ) > ( a > c > c ) > a > c > c ) > ( ( b > b ) > ( ( d > d ) > d > d ) > ( b > d > d ) > b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J_001_062_I_062_Itf__a_Mtf__b_J_M_062_Itf__a_Mtf__b_J_J,type,
% 3.04/1.62 bNF_re796114495_b_a_b: ( ( a > a ) > ( b > b ) > $o ) > ( ( ( a > a ) > a > a ) > ( ( a > b ) > a > b ) > $o ) > ( ( a > a ) > ( a > a ) > a > a ) > ( ( b > b ) > ( a > b ) > a > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_Mtf__b_J_J,type,
% 3.04/1.62 bNF_re835672381_b_b_b: ( ( a > a ) > ( b > b ) > $o ) > ( ( ( a > a ) > a > a ) > ( ( b > b ) > b > b ) > $o ) > ( ( a > a ) > ( a > a ) > a > a ) > ( ( b > b ) > ( b > b ) > b > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__b_Mtf__a_J_M_062_Itf__b_Mtf__a_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_Mtf__b_J_J,type,
% 3.04/1.62 bNF_re774352699_b_b_b: ( ( a > a ) > ( b > b ) > $o ) > ( ( ( b > a ) > b > a ) > ( ( b > b ) > b > b ) > $o ) > ( ( a > a ) > ( b > a ) > b > a ) > ( ( b > b ) > ( b > b ) > b > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 bNF_re1761470250_b_d_d: ( ( a > a ) > ( b > b ) > $o ) > ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( a > a ) > a > c > c ) > ( ( b > b ) > b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J,type,
% 3.04/1.62 bNF_re1307884917_a_b_b: ( ( a > a ) > ( b > b ) > $o ) > ( ( a > a ) > ( b > b ) > $o ) > ( ( a > a ) > a > a ) > ( ( b > b ) > b > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001tf__a_001tf__b,type,
% 3.04/1.62 bNF_re2087760490_b_a_b: ( ( a > a ) > ( b > b ) > $o ) > ( a > b > $o ) > ( ( a > a ) > a ) > ( ( b > b ) > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_Eo_001_Eo,type,
% 3.04/1.62 bNF_re1906994858_a_o_o: ( ( a > b ) > ( a > a ) > $o ) > ( $o > $o > $o ) > ( ( a > b ) > $o ) > ( ( a > a ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__b_J_001_062_Itf__a_Mtf__b_J_001_Eo_001_Eo,type,
% 3.04/1.62 bNF_re1088547499_b_o_o: ( ( a > b ) > ( a > b ) > $o ) > ( $o > $o > $o ) > ( ( a > b ) > $o ) > ( ( a > b ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__a_Mtf__c_J_001_062_Itf__b_Mtf__d_J_001_062_I_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_J_001_062_I_062_Itf__d_M_062_Itf__d_Mtf__d_J_J_M_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_J,type,
% 3.04/1.62 bNF_re1606289753_b_d_d: ( ( a > c ) > ( b > d ) > $o ) > ( ( ( c > c > c ) > ( c > c ) > a > c > c ) > ( ( d > d > d ) > ( d > d ) > b > d > d ) > $o ) > ( ( a > c ) > ( c > c > c ) > ( c > c ) > a > c > c ) > ( ( b > d ) > ( d > d > d ) > ( d > d ) > b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J,type,
% 3.04/1.62 bNF_re561231771_a_c_c: ( ( b > d > d ) > ( a > c > c ) > $o ) > ( ( ( b > b ) > b > d > d ) > ( ( a > a ) > a > c > c ) > $o ) > ( ( b > d > d ) > ( b > b ) > b > d > d ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J,type,
% 3.04/1.62 bNF_re742509149_b_d_d: ( ( b > d > d ) > ( b > d > d ) > $o ) > ( ( ( b > b ) > b > d > d ) > ( ( b > b ) > b > d > d ) > $o ) > ( ( b > d > d ) > ( b > b ) > b > d > d ) > ( ( b > d > d ) > ( b > b ) > b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J,type,
% 3.04/1.62 bNF_re1591514407_a_c_c: ( ( b > a ) > ( a > a ) > $o ) > ( ( b > c > c ) > ( a > c > c ) > $o ) > ( ( b > a ) > b > c > c ) > ( ( a > a ) > a > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__a_J_001_062_Itf__b_Mtf__a_J_001_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__c_Mtf__c_J_J,type,
% 3.04/1.62 bNF_re1565463783_b_c_c: ( ( b > a ) > ( b > a ) > $o ) > ( ( b > c > c ) > ( b > c > c ) > $o ) > ( ( b > a ) > b > c > c ) > ( ( b > a ) > b > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 bNF_re1661760168_b_d_d: ( ( b > a ) > ( b > b ) > $o ) > ( ( b > c > c ) > ( b > d > d ) > $o ) > ( ( b > a ) > b > c > c ) > ( ( b > b ) > b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__a_J_001_062_Itf__b_Mtf__b_J,type,
% 3.04/1.62 bNF_re668686835_a_b_b: ( ( b > a ) > ( b > b ) > $o ) > ( ( b > a ) > ( b > b ) > $o ) > ( ( b > a ) > b > a ) > ( ( b > b ) > b > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J,type,
% 3.04/1.62 bNF_re1794062813_d_d_b: ( ( b > b ) > ( ( d > d ) > b ) > $o ) > ( ( b > b ) > ( ( d > d ) > b ) > $o ) > ( ( b > b ) > b > b ) > ( ( ( d > d ) > b ) > ( d > d ) > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_Mtf__b_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_Mtf__a_J_J,type,
% 3.04/1.62 bNF_re1645058365_a_a_a: ( ( b > b ) > ( a > a ) > $o ) > ( ( ( b > b ) > b > b ) > ( ( a > a ) > a > a ) > $o ) > ( ( b > b ) > ( b > b ) > b > b ) > ( ( a > a ) > ( a > a ) > a > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J,type,
% 3.04/1.62 bNF_re1342462312_a_c_c: ( ( b > b ) > ( a > a ) > $o ) > ( ( b > d > d ) > ( a > c > c ) > $o ) > ( ( b > b ) > b > d > d ) > ( ( a > a ) > a > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__a_Mtf__a_J,type,
% 3.04/1.62 bNF_re310361461_b_a_a: ( ( b > b ) > ( a > a ) > $o ) > ( ( b > b ) > ( a > a ) > $o ) > ( ( b > b ) > b > b ) > ( ( a > a ) > a > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_M_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_Mtf__b_J_J,type,
% 3.04/1.62 bNF_re1138812345_b_b_b: ( ( b > b ) > ( b > b ) > $o ) > ( ( ( ( d > d ) > b ) > ( d > d ) > b ) > ( ( b > b ) > b > b ) > $o ) > ( ( b > b ) > ( ( d > d ) > b ) > ( d > d ) > b ) > ( ( b > b ) > ( b > b ) > b > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_Mtf__b_J_J_001_062_I_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_M_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J_J,type,
% 3.04/1.62 bNF_re961930425_d_d_b: ( ( b > b ) > ( b > b ) > $o ) > ( ( ( b > b ) > b > b ) > ( ( ( d > d ) > b ) > ( d > d ) > b ) > $o ) > ( ( b > b ) > ( b > b ) > b > b ) > ( ( b > b ) > ( ( d > d ) > b ) > ( d > d ) > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_Mtf__b_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_Mtf__b_J_J,type,
% 3.04/1.62 bNF_re1222471293_b_b_b: ( ( b > b ) > ( b > b ) > $o ) > ( ( ( b > b ) > b > b ) > ( ( b > b ) > b > b ) > $o ) > ( ( b > b ) > ( b > b ) > b > b ) > ( ( b > b ) > ( b > b ) > b > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 bNF_re1412708073_b_d_d: ( ( b > b ) > ( b > b ) > $o ) > ( ( b > d > d ) > ( b > d > d ) > $o ) > ( ( b > b ) > b > d > d ) > ( ( b > b ) > b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J,type,
% 3.04/1.62 bNF_re2075418869_b_b_b: ( ( b > b ) > ( b > b ) > $o ) > ( ( b > b ) > ( b > b ) > $o ) > ( ( b > b ) > b > b ) > ( ( b > b ) > b > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_M_062_Itf__c_M_Eo_J_J_001_062_Itf__d_M_062_Itf__d_M_Eo_J_J_001_062_I_062_Itf__c_M_062_Itf__c_M_Eo_J_J_M_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_J_001_062_I_062_Itf__d_M_062_Itf__d_M_Eo_J_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J,type,
% 3.04/1.62 bNF_re921674337_d_d_o: ( ( c > c > $o ) > ( d > d > $o ) > $o ) > ( ( ( c > c > $o ) > ( c > c ) > $o ) > ( ( d > d > $o ) > ( d > d ) > $o ) > $o ) > ( ( c > c > $o ) > ( c > c > $o ) > ( c > c ) > $o ) > ( ( d > d > $o ) > ( d > d > $o ) > ( d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_M_062_Itf__c_M_Eo_J_J_001_062_Itf__d_M_062_Itf__d_M_Eo_J_J_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J,type,
% 3.04/1.62 bNF_re764708765_d_d_o: ( ( c > c > $o ) > ( d > d > $o ) > $o ) > ( ( ( c > c ) > ( c > c ) > $o ) > ( ( d > d ) > ( d > d ) > $o ) > $o ) > ( ( c > c > $o ) > ( c > c ) > ( c > c ) > $o ) > ( ( d > d > $o ) > ( d > d ) > ( d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_M_062_Itf__c_M_Eo_J_J_001_062_Itf__d_M_062_Itf__d_M_Eo_J_J_001_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_001_062_I_062_Itf__d_Mtf__d_J_M_Eo_J,type,
% 3.04/1.62 bNF_re27482973_d_d_o: ( ( c > c > $o ) > ( d > d > $o ) > $o ) > ( ( ( c > c ) > $o ) > ( ( d > d ) > $o ) > $o ) > ( ( c > c > $o ) > ( c > c ) > $o ) > ( ( d > d > $o ) > ( d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__d_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J,type,
% 3.04/1.62 bNF_re1507718559_b_d_d: ( ( c > c > c ) > ( d > d > d ) > $o ) > ( ( ( c > c ) > a > c > c ) > ( ( d > d ) > b > d > d ) > $o ) > ( ( c > c > c ) > ( c > c ) > a > c > c ) > ( ( d > d > d ) > ( d > d ) > b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__a_J_001_062_Itf__d_Mtf__b_J_001_062_I_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_M_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_I_062_Itf__d_Mtf__d_J_Mtf__d_J_M_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_Itf__d_Mtf__d_J_J_J,type,
% 3.04/1.62 bNF_re1164948833_d_d_d: ( ( c > a ) > ( d > b ) > $o ) > ( ( ( ( c > c ) > c ) > ( a > c > c ) > c > c ) > ( ( ( d > d ) > d ) > ( b > d > d ) > d > d ) > $o ) > ( ( c > a ) > ( ( c > c ) > c ) > ( a > c > c ) > c > c ) > ( ( d > b ) > ( ( d > d ) > d ) > ( b > d > d ) > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__a_J_001_062_Itf__d_Mtf__b_J_001_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__d_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 bNF_re1509948838_d_d_d: ( ( c > a ) > ( d > b ) > $o ) > ( ( c > c > c ) > ( d > d > d ) > $o ) > ( ( c > a ) > c > c > c ) > ( ( d > b ) > d > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_I_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_M_062_Itf__a_Mtf__c_J_J_001_062_I_062_I_062_Itf__d_Mtf__d_J_Mtf__d_J_M_062_Itf__b_Mtf__d_J_J,type,
% 3.04/1.62 bNF_re335372010_d_b_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( ( ( c > c ) > c ) > a > c ) > ( ( ( d > d ) > d ) > b > d ) > $o ) > ( ( c > c ) > ( ( c > c ) > c ) > a > c ) > ( ( d > d ) > ( ( d > d ) > d ) > b > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__c_Mtf__a_J_M_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_J_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_I_062_Itf__d_Mtf__b_J_M_062_Itf__d_M_062_Itf__d_Mtf__d_J_J_J_J,type,
% 3.04/1.62 bNF_re1709888353_d_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( ( a > c > c ) > ( c > a ) > c > c > c ) > ( ( b > d > d ) > ( d > b ) > d > d > d ) > $o ) > ( ( c > c ) > ( a > c > c ) > ( c > a ) > c > c > c ) > ( ( d > d ) > ( b > d > d ) > ( d > b ) > d > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__d_Mtf__d_J_J_J,type,
% 3.04/1.62 bNF_re888371717_d_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( ( c > c ) > ( c > c ) > c > c ) > ( ( d > d ) > ( d > d ) > d > d ) > $o ) > ( ( c > c ) > ( c > c ) > ( c > c ) > c > c ) > ( ( d > d ) > ( d > d ) > ( d > d ) > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 bNF_re764096061_d_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( ( c > c ) > c > c ) > ( ( d > d ) > d > d ) > $o ) > ( ( c > c ) > ( c > c ) > c > c ) > ( ( d > d ) > ( d > d ) > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_001_062_I_062_Itf__d_Mtf__d_J_M_Eo_J,type,
% 3.04/1.62 bNF_re781155241_d_d_o: ( ( c > c ) > ( d > d ) > $o ) > ( ( ( c > c ) > $o ) > ( ( d > d ) > $o ) > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( ( d > d ) > ( d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 bNF_re1145286186_b_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( c > c ) > a > c > c ) > ( ( d > d ) > b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_Itf__c_M_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_J_001_062_Itf__d_M_062_Itf__d_M_062_Itf__d_Mtf__d_J_J_J,type,
% 3.04/1.62 bNF_re1941803873_d_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( c > c > c > c ) > ( d > d > d > d ) > $o ) > ( ( c > c ) > c > c > c > c ) > ( ( d > d ) > d > d > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 bNF_re2078100341_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( ( c > c ) > c > c ) > ( ( d > d ) > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_Eo_001_Eo,type,
% 3.04/1.62 bNF_re857878889_d_o_o: ( ( c > c ) > ( d > d ) > $o ) > ( $o > $o > $o ) > ( ( c > c ) > $o ) > ( ( d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001tf__a_001tf__b,type,
% 3.04/1.62 bNF_re1795127658_d_a_b: ( ( c > c ) > ( d > d ) > $o ) > ( a > b > $o ) > ( ( c > c ) > a ) > ( ( d > d ) > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001tf__c_001tf__d,type,
% 3.04/1.62 bNF_re1303182826_d_c_d: ( ( c > c ) > ( d > d ) > $o ) > ( c > d > $o ) > ( ( c > c ) > c ) > ( ( d > d ) > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001tf__a_001_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_001_062_Itf__a_M_Eo_J,type,
% 3.04/1.62 bNF_re1450278895_o_a_o: ( ( c > c ) > a > $o ) > ( ( ( c > c ) > $o ) > ( a > $o ) > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( a > a > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001tf__a_001_062_I_062_Itf__c_Mtf__c_J_M_Eo_J_001_062_Itf__b_M_Eo_J,type,
% 3.04/1.62 bNF_re2038641070_o_b_o: ( ( c > c ) > a > $o ) > ( ( ( c > c ) > $o ) > ( b > $o ) > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( a > b > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001tf__a_001_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_001_062_Itf__a_M_Eo_J,type,
% 3.04/1.62 bNF_re1306877487_o_a_o: ( ( c > c ) > a > $o ) > ( ( ( d > d ) > $o ) > ( a > $o ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( a > a > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001tf__a_001_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_001_062_Itf__b_M_Eo_J,type,
% 3.04/1.62 bNF_re1895239662_o_b_o: ( ( c > c ) > a > $o ) > ( ( ( d > d ) > $o ) > ( b > $o ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( a > b > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001tf__a_001_Eo_001_Eo,type,
% 3.04/1.62 bNF_re883196986_a_o_o: ( ( c > c ) > a > $o ) > ( $o > $o > $o ) > ( ( c > c ) > $o ) > ( a > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001tf__a_001tf__a_001tf__a,type,
% 3.04/1.62 bNF_re1424579386_a_a_a: ( ( c > c ) > a > $o ) > ( a > a > $o ) > ( ( c > c ) > a ) > ( a > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__c_Mtf__c_J_001tf__b_001_Eo_001_Eo,type,
% 3.04/1.62 bNF_re90976443_b_o_o: ( ( c > c ) > b > $o ) > ( $o > $o > $o ) > ( ( c > c ) > $o ) > ( b > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__d_Mtf__d_J_001tf__a_001_Eo_001_Eo,type,
% 3.04/1.62 bNF_re991543930_a_o_o: ( ( d > d ) > a > $o ) > ( $o > $o > $o ) > ( ( d > d ) > $o ) > ( a > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__d_Mtf__d_J_001tf__b_001_Eo_001_Eo,type,
% 3.04/1.62 bNF_re199323387_b_o_o: ( ( d > d ) > b > $o ) > ( $o > $o > $o ) > ( ( d > d ) > $o ) > ( b > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_062_Itf__d_Mtf__d_J_001tf__b_001tf__b_001tf__b,type,
% 3.04/1.62 bNF_re1703323451_b_b_b: ( ( d > d ) > b > $o ) > ( b > b > $o ) > ( ( d > d ) > b ) > ( b > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_Eo_001_Eo_001_062_Itf__a_M_062_Itf__a_Mtf__a_J_J_001_062_Itf__a_M_062_Itf__a_Mtf__a_J_J,type,
% 3.04/1.62 bNF_re1705765981_a_a_a: ( $o > $o > $o ) > ( ( a > a > a ) > ( a > a > a ) > $o ) > ( $o > a > a > a ) > ( $o > a > a > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_Eo_001_Eo_001_062_Itf__a_M_062_Itf__a_Mtf__a_J_J_001_062_Itf__b_M_062_Itf__b_Mtf__b_J_J,type,
% 3.04/1.62 bNF_re588060702_b_b_b: ( $o > $o > $o ) > ( ( a > a > a ) > ( b > b > b ) > $o ) > ( $o > a > a > a ) > ( $o > b > b > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001_Eo_001_Eo_001_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__d_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 bNF_re647211934_d_d_d: ( $o > $o > $o ) > ( ( c > c > c ) > ( d > d > d ) > $o ) > ( $o > c > c > c ) > ( $o > d > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__c_Mtf__c_J_J,type,
% 3.04/1.62 bNF_re1482032989_c_c_c: ( a > a > $o ) > ( ( ( a > c > c ) > c > c ) > ( ( a > c > c ) > c > c ) > $o ) > ( a > ( a > c > c ) > c > c ) > ( a > ( a > c > c ) > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 bNF_re1391160029_d_d_d: ( a > a > $o ) > ( ( ( a > c > c ) > c > c ) > ( ( a > d > d ) > d > d ) > $o ) > ( a > ( a > c > c ) > c > c ) > ( a > ( a > d > d ) > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_I_062_Itf__a_Mtf__a_J_Mtf__a_J_001_062_I_062_Itf__a_Mtf__a_J_Mtf__a_J,type,
% 3.04/1.62 bNF_re865741149_a_a_a: ( a > a > $o ) > ( ( ( a > a ) > a ) > ( ( a > a ) > a ) > $o ) > ( a > ( a > a ) > a ) > ( a > ( a > a ) > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_I_062_Itf__a_Mtf__a_J_Mtf__a_J_001_062_I_062_Itf__a_Mtf__b_J_Mtf__b_J,type,
% 3.04/1.62 bNF_re1093913501_a_b_b: ( a > a > $o ) > ( ( ( a > a ) > a ) > ( ( a > b ) > b ) > $o ) > ( a > ( a > a ) > a ) > ( a > ( a > b ) > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__a_M_Eo_J_001_062_Itf__a_M_Eo_J,type,
% 3.04/1.62 bNF_re1690123229_o_a_o: ( a > a > $o ) > ( ( a > $o ) > ( a > $o ) > $o ) > ( a > a > $o ) > ( a > a > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__a_M_Eo_J_001_062_Itf__b_M_Eo_J,type,
% 3.04/1.62 bNF_re131001756_o_b_o: ( a > a > $o ) > ( ( a > $o ) > ( b > $o ) > $o ) > ( a > a > $o ) > ( a > b > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J,type,
% 3.04/1.62 bNF_re911029929_a_a_a: ( a > a > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( a > a > a ) > ( a > a > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__b_M_Eo_J_001_062_Itf__a_M_Eo_J,type,
% 3.04/1.62 bNF_re1809376028_o_a_o: ( a > a > $o ) > ( ( b > $o ) > ( a > $o ) > $o ) > ( a > b > $o ) > ( a > a > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__b_M_Eo_J_001_062_Itf__b_M_Eo_J,type,
% 3.04/1.62 bNF_re250254555_o_b_o: ( a > a > $o ) > ( ( b > $o ) > ( b > $o ) > $o ) > ( a > b > $o ) > ( a > b > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 bNF_re1143700905_c_c_c: ( a > a > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > ( a > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 bNF_re1979731817_c_d_d: ( a > a > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( a > c > c ) > ( a > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__a,type,
% 3.04/1.62 bNF_re950444090_c_c_a: ( a > a > $o ) > ( ( c > c ) > a > $o ) > ( a > c > c ) > ( a > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__b,type,
% 3.04/1.62 bNF_re950444091_c_c_b: ( a > a > $o ) > ( ( c > c ) > b > $o ) > ( a > c > c ) > ( a > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__d_Mtf__d_J_001tf__a,type,
% 3.04/1.62 bNF_re2038021754_d_d_a: ( a > a > $o ) > ( ( d > d ) > a > $o ) > ( a > d > d ) > ( a > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_062_Itf__d_Mtf__d_J_001tf__b,type,
% 3.04/1.62 bNF_re2038021755_d_d_b: ( a > a > $o ) > ( ( d > d ) > b > $o ) > ( a > d > d ) > ( a > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001_Eo_001_Eo,type,
% 3.04/1.62 bNF_rel_fun_a_a_o_o: ( a > a > $o ) > ( $o > $o > $o ) > ( a > $o ) > ( a > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001tf__a_001tf__a,type,
% 3.04/1.62 bNF_rel_fun_a_a_a_a: ( a > a > $o ) > ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001tf__a_001tf__b,type,
% 3.04/1.62 bNF_rel_fun_a_a_a_b: ( a > a > $o ) > ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001tf__b_001tf__a,type,
% 3.04/1.62 bNF_rel_fun_a_a_b_a: ( a > a > $o ) > ( b > a > $o ) > ( a > b ) > ( a > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__a_001tf__b_001tf__b,type,
% 3.04/1.62 bNF_rel_fun_a_a_b_b: ( a > a > $o ) > ( b > b > $o ) > ( a > b ) > ( a > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 bNF_re1327926367_d_d_d: ( a > b > $o ) > ( ( ( a > c > c ) > c > c ) > ( ( b > d > d ) > d > d ) > $o ) > ( a > ( a > c > c ) > c > c ) > ( b > ( b > d > d ) > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_I_062_Itf__a_Mtf__a_J_Mtf__a_J_001_062_I_062_Itf__b_Mtf__b_J_Mtf__b_J,type,
% 3.04/1.62 bNF_re1730737055_b_b_b: ( a > b > $o ) > ( ( ( a > a ) > a ) > ( ( b > b ) > b ) > $o ) > ( a > ( a > a ) > a ) > ( b > ( b > b ) > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_I_062_Itf__c_Mtf__c_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__d_Mtf__d_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J,type,
% 3.04/1.62 bNF_re1573878111_b_d_d: ( a > b > $o ) > ( ( ( c > c ) > a > c > c ) > ( ( d > d ) > b > d > d ) > $o ) > ( a > ( c > c ) > a > c > c ) > ( b > ( d > d ) > b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_Itf__a_M_Eo_J_001_062_Itf__a_M_Eo_J,type,
% 3.04/1.62 bNF_re1977372894_o_a_o: ( a > b > $o ) > ( ( a > $o ) > ( a > $o ) > $o ) > ( a > a > $o ) > ( b > a > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_Itf__a_M_Eo_J_001_062_Itf__b_M_Eo_J,type,
% 3.04/1.62 bNF_re418251421_o_b_o: ( a > b > $o ) > ( ( a > $o ) > ( b > $o ) > $o ) > ( a > a > $o ) > ( b > b > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J,type,
% 3.04/1.62 bNF_re569932906_a_b_b: ( a > b > $o ) > ( ( a > a ) > ( b > b ) > $o ) > ( a > a > a ) > ( b > b > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 bNF_re2114056618_c_c_c: ( a > b > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > ( b > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 bNF_re802603882_c_d_d: ( a > b > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( a > c > c ) > ( b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001_Eo_001_Eo,type,
% 3.04/1.62 bNF_rel_fun_a_b_o_o: ( a > b > $o ) > ( $o > $o > $o ) > ( a > $o ) > ( b > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001tf__a_001tf__a,type,
% 3.04/1.62 bNF_rel_fun_a_b_a_a: ( a > b > $o ) > ( a > a > $o ) > ( a > a ) > ( b > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001tf__a_001tf__b,type,
% 3.04/1.62 bNF_rel_fun_a_b_a_b: ( a > b > $o ) > ( a > b > $o ) > ( a > a ) > ( b > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__a_001tf__b_001tf__c_001tf__d,type,
% 3.04/1.62 bNF_rel_fun_a_b_c_d: ( a > b > $o ) > ( c > d > $o ) > ( a > c ) > ( b > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__b_001tf__b,type,
% 3.04/1.62 bNF_re1573506119_d_b_b: ( b > ( d > d ) > $o ) > ( b > b > $o ) > ( b > b ) > ( ( d > d ) > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__a_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 bNF_re758172648_c_c_c: ( b > a > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( b > c > c ) > ( a > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__a_001_062_Itf__d_Mtf__d_J_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 bNF_re38477224_d_c_c: ( b > a > $o ) > ( ( d > d ) > ( c > c ) > $o ) > ( b > d > d ) > ( a > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__a_001_Eo_001_Eo,type,
% 3.04/1.62 bNF_rel_fun_b_a_o_o: ( b > a > $o ) > ( $o > $o > $o ) > ( b > $o ) > ( a > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__a_001tf__a_001tf__a,type,
% 3.04/1.62 bNF_rel_fun_b_a_a_a: ( b > a > $o ) > ( a > a > $o ) > ( b > a ) > ( a > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__a_001tf__b_001tf__a,type,
% 3.04/1.62 bNF_rel_fun_b_a_b_a: ( b > a > $o ) > ( b > a > $o ) > ( b > b ) > ( a > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__b_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 bNF_re1728528361_c_c_c: ( b > b > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( b > c > c ) > ( b > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__b_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 bNF_re417075625_c_d_d: ( b > b > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( b > c > c ) > ( b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__b_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 bNF_re1844863849_d_d_d: ( b > b > $o ) > ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > ( b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__b_001_Eo_001_Eo,type,
% 3.04/1.62 bNF_rel_fun_b_b_o_o: ( b > b > $o ) > ( $o > $o > $o ) > ( b > $o ) > ( b > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__b_001tf__a_001tf__a,type,
% 3.04/1.62 bNF_rel_fun_b_b_a_a: ( b > b > $o ) > ( a > a > $o ) > ( b > a ) > ( b > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__b_001tf__a_001tf__b,type,
% 3.04/1.62 bNF_rel_fun_b_b_a_b: ( b > b > $o ) > ( a > b > $o ) > ( b > a ) > ( b > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__b_001tf__b_001tf__b_001tf__b,type,
% 3.04/1.62 bNF_rel_fun_b_b_b_b: ( b > b > $o ) > ( b > b > $o ) > ( b > b ) > ( b > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__c_001tf__c_001tf__c_001tf__c,type,
% 3.04/1.62 bNF_rel_fun_c_c_c_c: ( c > c > $o ) > ( c > c > $o ) > ( c > c ) > ( c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__c_001tf__d_001_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__d_J,type,
% 3.04/1.62 bNF_re1313098655_d_d_d: ( c > d > $o ) > ( ( ( c > c ) > c ) > ( ( d > d ) > d ) > $o ) > ( c > ( c > c ) > c ) > ( d > ( d > d ) > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__c_001tf__d_001_062_Itf__c_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__d_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 bNF_re822780063_d_d_d: ( c > d > $o ) > ( ( c > c > c ) > ( d > d > d ) > $o ) > ( c > c > c > c ) > ( d > d > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__c_001tf__d_001_062_Itf__c_M_Eo_J_001_062_Itf__d_M_Eo_J,type,
% 3.04/1.62 bNF_re391428377_o_d_o: ( c > d > $o ) > ( ( c > $o ) > ( d > $o ) > $o ) > ( c > c > $o ) > ( d > d > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__c_001tf__d_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 bNF_re1972258794_c_d_d: ( c > d > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( c > c > c ) > ( d > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__c_001tf__d_001_Eo_001_Eo,type,
% 3.04/1.62 bNF_rel_fun_c_d_o_o: ( c > d > $o ) > ( $o > $o > $o ) > ( c > $o ) > ( d > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__c_001tf__d_001tf__a_001tf__b,type,
% 3.04/1.62 bNF_rel_fun_c_d_a_b: ( c > d > $o ) > ( a > b > $o ) > ( c > a ) > ( d > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__c_001tf__d_001tf__c_001tf__d,type,
% 3.04/1.62 bNF_rel_fun_c_d_c_d: ( c > d > $o ) > ( c > d > $o ) > ( c > c ) > ( d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_BNF__Def_Orel__fun_001tf__d_001tf__d_001tf__d_001tf__d,type,
% 3.04/1.62 bNF_rel_fun_d_d_d_d: ( d > d > $o ) > ( d > d > $o ) > ( d > d ) > ( d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Complete__Partial__Order_Omonotone_001tf__a_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 comple1702356924_a_c_c: ( a > a > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Complete__Partial__Order_Omonotone_001tf__b_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 comple61207421_b_d_d: ( b > b > $o ) > ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Complete__Partial__Order_Omonotone_001tf__c_001tf__c,type,
% 3.04/1.62 comple787379047ne_c_c: ( c > c > $o ) > ( c > c > $o ) > ( c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Complete__Partial__Order_Omonotone_001tf__d_001tf__d,type,
% 3.04/1.62 comple1615148455ne_d_d: ( d > d > $o ) > ( d > d > $o ) > ( d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_FSet_Offold_001tf__a_001tf__c,type,
% 3.04/1.62 ffold_a_c: ( a > c > c ) > c > fset_a > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_FSet_Offold_001tf__b_001tf__d,type,
% 3.04/1.62 ffold_b_d: ( b > d > d ) > d > fset_b > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Finite__Set_Ocomp__fun__commute_001tf__a_001tf__c,type,
% 3.04/1.62 finite746615251te_a_c: ( a > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Finite__Set_Ocomp__fun__commute_001tf__b_001tf__c,type,
% 3.04/1.62 finite1574384658te_b_c: ( b > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Finite__Set_Ocomp__fun__commute_001tf__b_001tf__d,type,
% 3.04/1.62 finite1574384659te_b_d: ( b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Finite__Set_Ocomp__fun__idem_001tf__a_001tf__c,type,
% 3.04/1.62 finite40241358em_a_c: ( a > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Finite__Set_Ocomp__fun__idem_001tf__b_001tf__c,type,
% 3.04/1.62 finite868010765em_b_c: ( b > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Finite__Set_Ocomp__fun__idem_001tf__b_001tf__d,type,
% 3.04/1.62 finite868010766em_b_d: ( b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Finite__Set_Ocomp__fun__idem__axioms_001tf__a_001tf__c,type,
% 3.04/1.62 finite19304177ms_a_c: ( a > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Finite__Set_Ocomp__fun__idem__axioms_001tf__b_001tf__d,type,
% 3.04/1.62 finite847073585ms_b_d: ( b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Finite__Set_Ofold__graph_001tf__a_001tf__a,type,
% 3.04/1.62 finite1511629766ph_a_a: ( a > a > a ) > a > set_a > a > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Finite__Set_Ofold__graph_001tf__a_001tf__b,type,
% 3.04/1.62 finite1511629767ph_a_b: ( a > b > b ) > b > set_a > b > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Finite__Set_Ofold__graph_001tf__a_001tf__c,type,
% 3.04/1.62 finite1511629768ph_a_c: ( a > c > c ) > c > set_a > c > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Finite__Set_Ofold__graph_001tf__a_001tf__d,type,
% 3.04/1.62 finite1511629769ph_a_d: ( a > d > d ) > d > set_a > d > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Finite__Set_Ofold__graph_001tf__b_001tf__a,type,
% 3.04/1.62 finite191915525ph_b_a: ( b > a > a ) > a > set_b > a > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Finite__Set_Ofold__graph_001tf__b_001tf__d,type,
% 3.04/1.62 finite191915528ph_b_d: ( b > d > d ) > d > set_b > d > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Finite__Set_Ofold__graph_001tf__c_001tf__a,type,
% 3.04/1.62 finite1019684932ph_c_a: ( c > a > a ) > a > set_c > a > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Finite__Set_Ofold__graph_001tf__c_001tf__b,type,
% 3.04/1.62 finite1019684933ph_c_b: ( c > b > b ) > b > set_c > b > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Finite__Set_Ofold__graph_001tf__c_001tf__c,type,
% 3.04/1.62 finite1019684934ph_c_c: ( c > c > c ) > c > set_c > c > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Finite__Set_Ofold__graph_001tf__c_001tf__d,type,
% 3.04/1.62 finite1019684935ph_c_d: ( c > d > d ) > d > set_c > d > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__c_Mtf__c_J_Mtf__a_J,type,
% 3.04/1.62 comp_a_a_a_c_c_c_c_a: ( ( a > a ) > a > c > c ) > ( ( ( c > c ) > a ) > a > a ) > ( ( c > c ) > a ) > a > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001_062_Itf__a_Mtf__b_J_001_062_Itf__a_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__c_Mtf__c_J_Mtf__b_J,type,
% 3.04/1.62 comp_a_b_a_d_d_c_c_b: ( ( a > b ) > a > d > d ) > ( ( ( c > c ) > b ) > a > b ) > ( ( c > c ) > b ) > a > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001_062_Itf__b_Mtf__a_J_001_062_Itf__b_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__a_J,type,
% 3.04/1.62 comp_b_a_b_c_c_d_d_a: ( ( b > a ) > b > c > c ) > ( ( ( d > d ) > a ) > b > a ) > ( ( d > d ) > a ) > b > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__d_Mtf__d_J_Mtf__b_J,type,
% 3.04/1.62 comp_b_b_b_d_d_d_d_b: ( ( b > b ) > b > d > d ) > ( ( ( d > d ) > b ) > b > b ) > ( ( d > d ) > b ) > b > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J_001tf__a,type,
% 3.04/1.62 comp_c_c_c_c_a: ( ( c > c ) > c > c ) > ( a > c > c ) > a > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001_062_Itf__c_Mtf__c_J_001tf__a_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 comp_c_c_a_c_c: ( ( c > c ) > a ) > ( ( c > c ) > c > c ) > ( c > c ) > a ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001_062_Itf__c_Mtf__c_J_001tf__a_001tf__a,type,
% 3.04/1.62 comp_c_c_a_a: ( ( c > c ) > a ) > ( a > c > c ) > a > a ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001_062_Itf__c_Mtf__c_J_001tf__b_001tf__a,type,
% 3.04/1.62 comp_c_c_b_a: ( ( c > c ) > b ) > ( a > c > c ) > a > b ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001_062_Itf__c_Mtf__c_J_001tf__b_001tf__b,type,
% 3.04/1.62 comp_c_c_b_b: ( ( c > c ) > b ) > ( b > c > c ) > b > b ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J_001tf__b,type,
% 3.04/1.62 comp_d_d_d_d_b: ( ( d > d ) > d > d ) > ( b > d > d ) > b > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001_062_Itf__d_Mtf__d_J_001tf__b_001tf__b,type,
% 3.04/1.62 comp_d_d_b_b: ( ( d > d ) > b ) > ( b > d > d ) > b > b ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__a,type,
% 3.04/1.62 comp_a_c_c_a: ( a > c > c ) > ( a > a ) > a > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__b,type,
% 3.04/1.62 comp_a_c_c_b: ( a > c > c ) > ( b > a ) > b > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001tf__a_001tf__a_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 comp_a_a_c_c: ( a > a ) > ( ( c > c ) > a ) > ( c > c ) > a ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001tf__a_001tf__a_001tf__a,type,
% 3.04/1.62 comp_a_a_a: ( a > a ) > ( a > a ) > a > a ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001tf__a_001tf__a_001tf__b,type,
% 3.04/1.62 comp_a_a_b: ( a > a ) > ( b > a ) > b > a ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001tf__a_001tf__b_001tf__a,type,
% 3.04/1.62 comp_a_b_a: ( a > b ) > ( a > a ) > a > b ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001tf__a_001tf__b_001tf__b,type,
% 3.04/1.62 comp_a_b_b: ( a > b ) > ( b > a ) > b > b ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001tf__b_001_062_Itf__c_Mtf__c_J_001tf__a,type,
% 3.04/1.62 comp_b_c_c_a: ( b > c > c ) > ( a > b ) > a > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001tf__b_001_062_Itf__c_Mtf__c_J_001tf__b,type,
% 3.04/1.62 comp_b_c_c_b: ( b > c > c ) > ( b > b ) > b > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__a,type,
% 3.04/1.62 comp_b_d_d_a: ( b > d > d ) > ( a > b ) > a > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__b,type,
% 3.04/1.62 comp_b_d_d_b: ( b > d > d ) > ( b > b ) > b > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001tf__b_001tf__a_001tf__a,type,
% 3.04/1.62 comp_b_a_a: ( b > a ) > ( a > b ) > a > a ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001tf__b_001tf__a_001tf__b,type,
% 3.04/1.62 comp_b_a_b: ( b > a ) > ( b > b ) > b > a ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001tf__b_001tf__b_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 comp_b_b_d_d: ( b > b ) > ( ( d > d ) > b ) > ( d > d ) > b ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001tf__b_001tf__b_001tf__a,type,
% 3.04/1.62 comp_b_b_a: ( b > b ) > ( a > b ) > a > b ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001tf__b_001tf__b_001tf__b,type,
% 3.04/1.62 comp_b_b_b: ( b > b ) > ( b > b ) > b > b ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001tf__c_001tf__c_001tf__c,type,
% 3.04/1.62 comp_c_c_c: ( c > c ) > ( c > c ) > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ocomp_001tf__d_001tf__d_001tf__d,type,
% 3.04/1.62 comp_d_d_d: ( d > d ) > ( d > d ) > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ofun__upd_001tf__a_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 fun_upd_a_c_c: ( a > c > c ) > a > ( c > c ) > a > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ofun__upd_001tf__b_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 fun_upd_b_d_d: ( b > d > d ) > b > ( d > d ) > b > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ofun__upd_001tf__c_001tf__c,type,
% 3.04/1.62 fun_upd_c_c: ( c > c ) > c > c > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Ofun__upd_001tf__d_001tf__d,type,
% 3.04/1.62 fun_upd_d_d: ( d > d ) > d > d > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J,type,
% 3.04/1.62 map_fu676564502_a_c_c: ( ( a > c > c ) > a > c > c ) > ( ( ( a > a ) > a > c > c ) > ( a > a ) > a > c > c ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > ( a > c > c ) > ( a > a ) > a > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J,type,
% 3.04/1.62 map_fu232832790_a_c_c: ( ( a > c > c ) > b > d > d ) > ( ( ( b > b ) > b > d > d ) > ( a > a ) > a > c > c ) > ( ( b > d > d ) > ( b > b ) > b > d > d ) > ( a > c > c ) > ( a > a ) > a > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J,type,
% 3.04/1.62 map_fu961723106_a_c_c: ( ( a > a ) > a > a ) > ( ( a > c > c ) > a > c > c ) > ( ( a > a ) > a > c > c ) > ( a > a ) > a > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001_062_Itf__a_Mtf__a_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J,type,
% 3.04/1.62 map_fu75729569_a_c_c: ( ( a > a ) > b > b ) > ( ( b > d > d ) > a > c > c ) > ( ( b > b ) > b > d > d ) > ( a > a ) > a > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_I_062_Itf__a_Mtf__a_J_M_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J,type,
% 3.04/1.62 map_fu981964822_b_d_d: ( ( b > d > d ) > a > c > c ) > ( ( ( a > a ) > a > c > c ) > ( b > b ) > b > d > d ) > ( ( a > c > c ) > ( a > a ) > a > c > c ) > ( b > d > d ) > ( b > b ) > b > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J_001_062_I_062_Itf__b_Mtf__b_J_M_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_J,type,
% 3.04/1.62 map_fu538233110_b_d_d: ( ( b > d > d ) > b > d > d ) > ( ( ( b > b ) > b > d > d ) > ( b > b ) > b > d > d ) > ( ( b > d > d ) > ( b > b ) > b > d > d ) > ( b > d > d ) > ( b > b ) > b > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__a_Mtf__a_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 map_fu1569200227_b_d_d: ( ( b > b ) > a > a ) > ( ( a > c > c ) > b > d > d ) > ( ( a > a ) > a > c > c ) > ( b > b ) > b > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_Mtf__b_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 map_fu683206690_b_d_d: ( ( b > b ) > b > b ) > ( ( b > d > d ) > b > d > d ) > ( ( b > b ) > b > d > d ) > ( b > b ) > b > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__a_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 map_fun_a_c_c_a_c_c: ( a > c > c ) > ( a > c > c ) > ( ( c > c ) > a ) > a > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__a_001tf__a,type,
% 3.04/1.62 map_fun_a_c_c_a_a: ( a > c > c ) > ( a > a ) > ( ( c > c ) > a ) > a > a ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__b_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 map_fun_a_c_c_b_d_d: ( a > c > c ) > ( b > d > d ) > ( ( c > c ) > b ) > a > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__b_001tf__b,type,
% 3.04/1.62 map_fun_a_c_c_b_b: ( a > c > c ) > ( b > b ) > ( ( c > c ) > b ) > a > b ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__c_001tf__c,type,
% 3.04/1.62 map_fun_a_c_c_c_c: ( a > c > c ) > ( c > c ) > ( ( c > c ) > c ) > a > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__a_001tf__a_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 map_fun_a_a_c_c_c_c: ( a > a ) > ( ( c > c ) > c > c ) > ( a > c > c ) > a > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__a_001tf__a_001tf__a_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 map_fun_a_a_a_c_c: ( a > a ) > ( a > c > c ) > ( a > a ) > a > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__a_001tf__a_001tf__a_001tf__a,type,
% 3.04/1.62 map_fun_a_a_a_a: ( a > a ) > ( a > a ) > ( a > a ) > a > a ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__a_001tf__a_001tf__b_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 map_fun_a_a_b_d_d: ( a > a ) > ( b > d > d ) > ( a > b ) > a > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__a_001tf__b_001_062_Itf__d_Mtf__d_J_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 map_fun_a_b_d_d_c_c: ( a > b ) > ( ( d > d ) > c > c ) > ( b > d > d ) > a > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__a_001tf__b_001tf__b_001tf__a,type,
% 3.04/1.62 map_fun_a_b_b_a: ( a > b ) > ( b > a ) > ( b > b ) > a > a ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__a_001tf__c_001tf__c_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 map_fun_a_c_c_c_c2: ( a > c ) > ( c > c > c ) > ( c > c ) > a > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__a_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 map_fun_b_d_d_a_c_c: ( b > d > d ) > ( a > c > c ) > ( ( d > d ) > a ) > b > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__a_001tf__a,type,
% 3.04/1.62 map_fun_b_d_d_a_a: ( b > d > d ) > ( a > a ) > ( ( d > d ) > a ) > b > a ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__b_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 map_fun_b_d_d_b_d_d: ( b > d > d ) > ( b > d > d ) > ( ( d > d ) > b ) > b > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__b_001tf__b,type,
% 3.04/1.62 map_fun_b_d_d_b_b: ( b > d > d ) > ( b > b ) > ( ( d > d ) > b ) > b > b ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__d_001tf__d,type,
% 3.04/1.62 map_fun_b_d_d_d_d: ( b > d > d ) > ( d > d ) > ( ( d > d ) > d ) > b > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__b_001tf__a_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 map_fun_b_a_c_c_d_d: ( b > a ) > ( ( c > c ) > d > d ) > ( a > c > c ) > b > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__b_001tf__a_001tf__a_001tf__b,type,
% 3.04/1.62 map_fun_b_a_a_b: ( b > a ) > ( a > b ) > ( a > a ) > b > b ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__b_001tf__b_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 map_fun_b_b_d_d_d_d: ( b > b ) > ( ( d > d ) > d > d ) > ( b > d > d ) > b > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__b_001tf__b_001tf__a_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 map_fun_b_b_a_c_c: ( b > b ) > ( a > c > c ) > ( b > a ) > b > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__b_001tf__b_001tf__b_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 map_fun_b_b_b_d_d: ( b > b ) > ( b > d > d ) > ( b > b ) > b > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__b_001tf__b_001tf__b_001tf__b,type,
% 3.04/1.62 map_fun_b_b_b_b: ( b > b ) > ( b > b ) > ( b > b ) > b > b ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__b_001tf__d_001tf__d_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 map_fun_b_d_d_d_d2: ( b > d ) > ( d > d > d ) > ( d > d ) > b > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__c_001tf__a_001_062_Itf__c_Mtf__c_J_001tf__c,type,
% 3.04/1.62 map_fun_c_a_c_c_c: ( c > a ) > ( ( c > c ) > c ) > ( a > c > c ) > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__c_001tf__c_001tf__a_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 map_fun_c_c_a_c_c: ( c > c ) > ( a > c > c ) > ( c > a ) > c > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__c_001tf__c_001tf__c_001tf__c,type,
% 3.04/1.62 map_fun_c_c_c_c: ( c > c ) > ( c > c ) > ( c > c ) > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__d_001tf__b_001_062_Itf__d_Mtf__d_J_001tf__d,type,
% 3.04/1.62 map_fun_d_b_d_d_d: ( d > b ) > ( ( d > d ) > d ) > ( b > d > d ) > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__d_001tf__d_001tf__b_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 map_fun_d_d_b_d_d: ( d > d ) > ( b > d > d ) > ( d > b ) > d > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Fun_Omap__fun_001tf__d_001tf__d_001tf__d_001tf__d,type,
% 3.04/1.62 map_fun_d_d_d_d: ( d > d ) > ( d > d ) > ( d > d ) > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Groups_Oplus__class_Oplus_001t__Multiset__Omultiset_Itf__a_J,type,
% 3.04/1.62 plus_plus_multiset_a: multiset_a > multiset_a > multiset_a ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Groups_Oplus__class_Oplus_001t__Multiset__Omultiset_Itf__b_J,type,
% 3.04/1.62 plus_plus_multiset_b: multiset_b > multiset_b > multiset_b ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_If_001tf__a,type,
% 3.04/1.62 if_a: $o > a > a > a ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_If_001tf__b,type,
% 3.04/1.62 if_b: $o > b > b > b ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_If_001tf__c,type,
% 3.04/1.62 if_c: $o > c > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_If_001tf__d,type,
% 3.04/1.62 if_d: $o > d > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Multiset_Ofold__mset_001tf__a_001tf__c,type,
% 3.04/1.62 fold_mset_a_c: ( a > c > c ) > c > multiset_a > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Multiset_Ofold__mset_001tf__b_001tf__d,type,
% 3.04/1.62 fold_mset_b_d: ( b > d > d ) > d > multiset_b > d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_M_062_I_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_M_Eo_J_J,type,
% 3.04/1.62 ord_le469275661_d_d_o: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_Itf__c_Mtf__c_J_M_062_I_062_Itf__d_Mtf__d_J_M_Eo_J_J,type,
% 3.04/1.62 ord_le1338099484_d_d_o: ( ( c > c ) > ( d > d ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_Itf__a_M_062_Itf__b_M_Eo_J_J,type,
% 3.04/1.62 ord_less_eq_a_b_o: ( a > b > $o ) > ( a > b > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_Itf__c_M_062_Itf__d_M_Eo_J_J,type,
% 3.04/1.62 ord_less_eq_c_d_o: ( c > d > $o ) > ( c > d > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Partial__Function_Ofun__ord_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J_001tf__a,type,
% 3.04/1.62 partia186872226_c_c_a: ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > ( a > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Partial__Function_Ofun__ord_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J_001tf__b,type,
% 3.04/1.62 partia1709452835_d_d_b: ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > ( b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Partial__Function_Ofun__ord_001tf__c_001tf__c_001tf__c,type,
% 3.04/1.62 partia1494029680_c_c_c: ( c > c > $o ) > ( c > c ) > ( c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Partial__Function_Ofun__ord_001tf__d_001tf__d_001tf__d,type,
% 3.04/1.62 partia1041982257_d_d_d: ( d > d > $o ) > ( d > d ) > ( d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Quotient_OQuotient3_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 quotient3_c_c_c_c: ( ( c > c ) > ( c > c ) > $o ) > ( ( c > c ) > c > c ) > ( ( c > c ) > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Quotient_OQuotient3_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 quotient3_c_c_d_d: ( ( c > c ) > ( c > c ) > $o ) > ( ( c > c ) > d > d ) > ( ( d > d ) > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Quotient_OQuotient3_001_062_Itf__c_Mtf__c_J_001tf__a,type,
% 3.04/1.62 quotient3_c_c_a: ( ( c > c ) > ( c > c ) > $o ) > ( ( c > c ) > a ) > ( a > c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Quotient_OQuotient3_001_062_Itf__d_Mtf__d_J_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 quotient3_d_d_c_c: ( ( d > d ) > ( d > d ) > $o ) > ( ( d > d ) > c > c ) > ( ( c > c ) > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Quotient_OQuotient3_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 quotient3_d_d_d_d: ( ( d > d ) > ( d > d ) > $o ) > ( ( d > d ) > d > d ) > ( ( d > d ) > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Quotient_OQuotient3_001_062_Itf__d_Mtf__d_J_001tf__b,type,
% 3.04/1.62 quotient3_d_d_b: ( ( d > d ) > ( d > d ) > $o ) > ( ( d > d ) > b ) > ( b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Quotient_OQuotient3_001tf__a_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 quotient3_a_c_c: ( a > a > $o ) > ( a > c > c ) > ( ( c > c ) > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Quotient_OQuotient3_001tf__a_001tf__a,type,
% 3.04/1.62 quotient3_a_a: ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Quotient_OQuotient3_001tf__a_001tf__b,type,
% 3.04/1.62 quotient3_a_b: ( a > a > $o ) > ( a > b ) > ( b > a ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Quotient_OQuotient3_001tf__b_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 quotient3_b_d_d: ( b > b > $o ) > ( b > d > d ) > ( ( d > d ) > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Quotient_OQuotient3_001tf__b_001tf__a,type,
% 3.04/1.62 quotient3_b_a: ( b > b > $o ) > ( b > a ) > ( a > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Quotient_OQuotient3_001tf__b_001tf__b,type,
% 3.04/1.62 quotient3_b_b: ( b > b > $o ) > ( b > b ) > ( b > b ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Relation_Orelcompp_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 relcom1813708708_b_d_d: ( ( a > c > c ) > ( a > c > c ) > $o ) > ( ( a > c > c ) > ( b > d > d ) > $o ) > ( a > c > c ) > ( b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Relation_Orelcompp_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 relcom1887247779_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( b > d > d ) > ( b > d > d ) > $o ) > ( a > c > c ) > ( b > d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Relation_Orelcompp_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J,type,
% 3.04/1.62 relcompp_c_c_c_c_c_c: ( ( c > c ) > ( c > c ) > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( c > c ) > ( c > c ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Relation_Orelcompp_001_062_Itf__c_Mtf__c_J_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 relcompp_c_c_c_c_d_d: ( ( c > c ) > ( c > c ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( c > c ) > ( d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Relation_Orelcompp_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 relcompp_c_c_d_d_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( d > d ) > ( d > d ) > $o ) > ( c > c ) > ( d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Relation_Orelcompp_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 relcompp_d_d_d_d_d_d: ( ( d > d ) > ( d > d ) > $o ) > ( ( d > d ) > ( d > d ) > $o ) > ( d > d ) > ( d > d ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Relation_Orelcompp_001tf__a_001tf__a_001tf__a,type,
% 3.04/1.62 relcompp_a_a_a: ( a > a > $o ) > ( a > a > $o ) > a > a > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Relation_Orelcompp_001tf__a_001tf__a_001tf__b,type,
% 3.04/1.62 relcompp_a_a_b: ( a > a > $o ) > ( a > b > $o ) > a > b > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Relation_Orelcompp_001tf__a_001tf__b_001tf__b,type,
% 3.04/1.62 relcompp_a_b_b: ( a > b > $o ) > ( b > b > $o ) > a > b > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Relation_Orelcompp_001tf__b_001tf__b_001tf__b,type,
% 3.04/1.62 relcompp_b_b_b: ( b > b > $o ) > ( b > b > $o ) > b > b > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Relation_Orelcompp_001tf__c_001tf__c_001tf__d,type,
% 3.04/1.62 relcompp_c_c_d: ( c > c > $o ) > ( c > d > $o ) > c > d > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Relation_Orelcompp_001tf__c_001tf__d_001tf__d,type,
% 3.04/1.62 relcompp_c_d_d: ( c > d > $o ) > ( d > d > $o ) > c > d > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Set_OCollect_001tf__a,type,
% 3.04/1.62 collect_a: ( a > $o ) > set_a ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Set_OCollect_001tf__b,type,
% 3.04/1.62 collect_b: ( b > $o ) > set_b ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Set_OCollect_001tf__c,type,
% 3.04/1.62 collect_c: ( c > $o ) > set_c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Set_OCollect_001tf__d,type,
% 3.04/1.62 collect_d: ( d > $o ) > set_d ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Obi__total_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 bi_total_a_c_c_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Obi__total_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 bi_total_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Obi__total_001tf__a_001tf__b,type,
% 3.04/1.62 bi_total_a_b: ( a > b > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Obi__total_001tf__c_001tf__d,type,
% 3.04/1.62 bi_total_c_d: ( c > d > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Obi__unique_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 bi_uni844770768_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Obi__unique_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 bi_unique_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Obi__unique_001tf__a_001tf__b,type,
% 3.04/1.62 bi_unique_a_b: ( a > b > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Obi__unique_001tf__c_001tf__d,type,
% 3.04/1.62 bi_unique_c_d: ( c > d > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oleft__total_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 left_t1993719015_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oleft__total_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 left_total_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oleft__total_001tf__a_001tf__b,type,
% 3.04/1.62 left_total_a_b: ( a > b > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oleft__total_001tf__b_001tf__b,type,
% 3.04/1.62 left_total_b_b: ( b > b > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oleft__total_001tf__c_001tf__d,type,
% 3.04/1.62 left_total_c_d: ( c > d > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oleft__total_001tf__d_001tf__d,type,
% 3.04/1.62 left_total_d_d: ( d > d > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oleft__unique_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 left_u1654071760_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oleft__unique_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 left_unique_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oleft__unique_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 left_unique_d_d_d_d: ( ( d > d ) > ( d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oleft__unique_001tf__a_001tf__a,type,
% 3.04/1.62 left_unique_a_a: ( a > a > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oleft__unique_001tf__a_001tf__b,type,
% 3.04/1.62 left_unique_a_b: ( a > b > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oleft__unique_001tf__c_001tf__c,type,
% 3.04/1.62 left_unique_c_c: ( c > c > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oleft__unique_001tf__c_001tf__d,type,
% 3.04/1.62 left_unique_c_d: ( c > d > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oleft__unique_001tf__d_001tf__d,type,
% 3.04/1.62 left_unique_d_d: ( d > d > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Orev__implies,type,
% 3.04/1.62 rev_implies: $o > $o > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oright__total_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 right_386984928_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oright__total_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 right_total_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oright__total_001_062_Itf__d_Mtf__d_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 right_total_d_d_d_d: ( ( d > d ) > ( d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oright__total_001tf__a_001tf__a,type,
% 3.04/1.62 right_total_a_a: ( a > a > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oright__total_001tf__a_001tf__b,type,
% 3.04/1.62 right_total_a_b: ( a > b > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oright__total_001tf__c_001tf__c,type,
% 3.04/1.62 right_total_c_c: ( c > c > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oright__total_001tf__c_001tf__d,type,
% 3.04/1.62 right_total_c_d: ( c > d > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oright__total_001tf__d_001tf__d,type,
% 3.04/1.62 right_total_d_d: ( d > d > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oright__unique_001_062_Itf__a_M_062_Itf__c_Mtf__c_J_J_001_062_Itf__b_M_062_Itf__d_Mtf__d_J_J,type,
% 3.04/1.62 right_2142487_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oright__unique_001_062_Itf__c_Mtf__c_J_001_062_Itf__d_Mtf__d_J,type,
% 3.04/1.62 right_unique_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oright__unique_001tf__a_001tf__b,type,
% 3.04/1.62 right_unique_a_b: ( a > b > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oright__unique_001tf__b_001tf__b,type,
% 3.04/1.62 right_unique_b_b: ( b > b > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oright__unique_001tf__c_001tf__d,type,
% 3.04/1.62 right_unique_c_d: ( c > d > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_Transfer_Oright__unique_001tf__d_001tf__d,type,
% 3.04/1.62 right_unique_d_d: ( d > d > $o ) > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_member_001tf__a,type,
% 3.04/1.62 member_a: a > set_a > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_member_001tf__b,type,
% 3.04/1.62 member_b: b > set_b > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_member_001tf__c,type,
% 3.04/1.62 member_c: c > set_c > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_c_member_001tf__d,type,
% 3.04/1.62 member_d: d > set_d > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_v_A,type,
% 3.04/1.62 a2: a > b > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_v_B,type,
% 3.04/1.62 b2: c > d > $o ).
% 3.04/1.62
% 3.04/1.62 thf(sy_v_f1,type,
% 3.04/1.62 f1: a > c > c ).
% 3.04/1.62
% 3.04/1.62 thf(sy_v_f2,type,
% 3.04/1.62 f2: b > d > d ).
% 3.04/1.62
% 3.04/1.62 thf(fact_0_assms_I2_J,axiom,
% 3.04/1.62 finite746615251te_a_c @ f1 ).
% 3.04/1.62
% 3.04/1.62 thf(fact_1_comp__fun__commute_Ofun__left__comm,axiom,
% 3.04/1.62 ! [F: a > c > c,Y: a,X: a,Z: c] :
% 3.04/1.62 ( ( finite746615251te_a_c @ F )
% 3.04/1.62 => ( ( F @ Y @ ( F @ X @ Z ) )
% 3.04/1.62 = ( F @ X @ ( F @ Y @ Z ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_2_comp__fun__commute_Ofun__left__comm,axiom,
% 3.04/1.62 ! [F: b > d > d,Y: b,X: b,Z: d] :
% 3.04/1.62 ( ( finite1574384659te_b_d @ F )
% 3.04/1.62 => ( ( F @ Y @ ( F @ X @ Z ) )
% 3.04/1.62 = ( F @ X @ ( F @ Y @ Z ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_3_assms_I3_J,axiom,
% 3.04/1.62 finite1574384659te_b_d @ f2 ).
% 3.04/1.62
% 3.04/1.62 thf(fact_4__C12_C,axiom,
% 3.04/1.62 bNF_re802603882_c_d_d @ a2 @ ( bNF_rel_fun_c_d_c_d @ b2 @ b2 ) @ f1 @ f2 ).
% 3.04/1.62
% 3.04/1.62 thf(fact_5_comp__fun__commute_Ofold__mset__fusion,axiom,
% 3.04/1.62 ! [F: a > c > c,G: a > c > c,H: c > c,W: c,A: multiset_a] :
% 3.04/1.62 ( ( finite746615251te_a_c @ F )
% 3.04/1.62 => ( ( finite746615251te_a_c @ G )
% 3.04/1.62 => ( ! [X2: a,Y2: c] :
% 3.04/1.62 ( ( H @ ( G @ X2 @ Y2 ) )
% 3.04/1.62 = ( F @ X2 @ ( H @ Y2 ) ) )
% 3.04/1.62 => ( ( H @ ( fold_mset_a_c @ G @ W @ A ) )
% 3.04/1.62 = ( fold_mset_a_c @ F @ ( H @ W ) @ A ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_6_comp__fun__commute_Ofold__mset__fusion,axiom,
% 3.04/1.62 ! [F: b > d > d,G: b > d > d,H: d > d,W: d,A: multiset_b] :
% 3.04/1.62 ( ( finite1574384659te_b_d @ F )
% 3.04/1.62 => ( ( finite1574384659te_b_d @ G )
% 3.04/1.62 => ( ! [X2: b,Y2: d] :
% 3.04/1.62 ( ( H @ ( G @ X2 @ Y2 ) )
% 3.04/1.62 = ( F @ X2 @ ( H @ Y2 ) ) )
% 3.04/1.62 => ( ( H @ ( fold_mset_b_d @ G @ W @ A ) )
% 3.04/1.62 = ( fold_mset_b_d @ F @ ( H @ W ) @ A ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_7_comp__fun__commute_Ofold__mset__fun__left__comm,axiom,
% 3.04/1.62 ! [F: a > c > c,X: a,S: c,M: multiset_a] :
% 3.04/1.62 ( ( finite746615251te_a_c @ F )
% 3.04/1.62 => ( ( F @ X @ ( fold_mset_a_c @ F @ S @ M ) )
% 3.04/1.62 = ( fold_mset_a_c @ F @ ( F @ X @ S ) @ M ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_8_comp__fun__commute_Ofold__mset__fun__left__comm,axiom,
% 3.04/1.62 ! [F: b > d > d,X: b,S: d,M: multiset_b] :
% 3.04/1.62 ( ( finite1574384659te_b_d @ F )
% 3.04/1.62 => ( ( F @ X @ ( fold_mset_b_d @ F @ S @ M ) )
% 3.04/1.62 = ( fold_mset_b_d @ F @ ( F @ X @ S ) @ M ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_9_comp__fun__idem_Oaxioms_I1_J,axiom,
% 3.04/1.62 ! [F: a > c > c] :
% 3.04/1.62 ( ( finite40241358em_a_c @ F )
% 3.04/1.62 => ( finite746615251te_a_c @ F ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_10_comp__fun__idem_Oaxioms_I1_J,axiom,
% 3.04/1.62 ! [F: b > d > d] :
% 3.04/1.62 ( ( finite868010766em_b_d @ F )
% 3.04/1.62 => ( finite1574384659te_b_d @ F ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_11_comp__fun__commute_Ofold__graph__determ,axiom,
% 3.04/1.62 ! [F: a > c > c,Z: c,A: set_a,X: c,Y: c] :
% 3.04/1.62 ( ( finite746615251te_a_c @ F )
% 3.04/1.62 => ( ( finite1511629768ph_a_c @ F @ Z @ A @ X )
% 3.04/1.62 => ( ( finite1511629768ph_a_c @ F @ Z @ A @ Y )
% 3.04/1.62 => ( Y = X ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_12_comp__fun__commute_Ofold__graph__determ,axiom,
% 3.04/1.62 ! [F: b > d > d,Z: d,A: set_b,X: d,Y: d] :
% 3.04/1.62 ( ( finite1574384659te_b_d @ F )
% 3.04/1.62 => ( ( finite191915528ph_b_d @ F @ Z @ A @ X )
% 3.04/1.62 => ( ( finite191915528ph_b_d @ F @ Z @ A @ Y )
% 3.04/1.62 => ( Y = X ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_13_comp__fun__commute_Offold__fun__left__comm,axiom,
% 3.04/1.62 ! [F: a > c > c,X: a,Z: c,A: fset_a] :
% 3.04/1.62 ( ( finite746615251te_a_c @ F )
% 3.04/1.62 => ( ( F @ X @ ( ffold_a_c @ F @ Z @ A ) )
% 3.04/1.62 = ( ffold_a_c @ F @ ( F @ X @ Z ) @ A ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_14_comp__fun__commute_Offold__fun__left__comm,axiom,
% 3.04/1.62 ! [F: b > d > d,X: b,Z: d,A: fset_b] :
% 3.04/1.62 ( ( finite1574384659te_b_d @ F )
% 3.04/1.62 => ( ( F @ X @ ( ffold_b_d @ F @ Z @ A ) )
% 3.04/1.62 = ( ffold_b_d @ F @ ( F @ X @ Z ) @ A ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_15_comp__fun__commute_Ocomp__comp__fun__commute,axiom,
% 3.04/1.62 ! [F: a > c > c,G: b > a] :
% 3.04/1.62 ( ( finite746615251te_a_c @ F )
% 3.04/1.62 => ( finite1574384658te_b_c @ ( comp_a_c_c_b @ F @ G ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_16_comp__fun__commute_Ocomp__comp__fun__commute,axiom,
% 3.04/1.62 ! [F: a > c > c,G: a > a] :
% 3.04/1.62 ( ( finite746615251te_a_c @ F )
% 3.04/1.62 => ( finite746615251te_a_c @ ( comp_a_c_c_a @ F @ G ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_17_comp__fun__commute_Ocomp__comp__fun__commute,axiom,
% 3.04/1.62 ! [F: b > d > d,G: b > b] :
% 3.04/1.62 ( ( finite1574384659te_b_d @ F )
% 3.04/1.62 => ( finite1574384659te_b_d @ ( comp_b_d_d_b @ F @ G ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_18_comp__fun__commute__def,axiom,
% 3.04/1.62 ( finite746615251te_a_c
% 3.04/1.62 = ( ^ [F2: a > c > c] :
% 3.04/1.62 ! [Y3: a,X3: a] :
% 3.04/1.62 ( ( comp_c_c_c @ ( F2 @ Y3 ) @ ( F2 @ X3 ) )
% 3.04/1.62 = ( comp_c_c_c @ ( F2 @ X3 ) @ ( F2 @ Y3 ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_19_comp__fun__commute__def,axiom,
% 3.04/1.62 ( finite1574384659te_b_d
% 3.04/1.62 = ( ^ [F2: b > d > d] :
% 3.04/1.62 ! [Y3: b,X3: b] :
% 3.04/1.62 ( ( comp_d_d_d @ ( F2 @ Y3 ) @ ( F2 @ X3 ) )
% 3.04/1.62 = ( comp_d_d_d @ ( F2 @ X3 ) @ ( F2 @ Y3 ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_20_comp__fun__commute_Ointro,axiom,
% 3.04/1.62 ! [F: a > c > c] :
% 3.04/1.62 ( ! [Y2: a,X2: a] :
% 3.04/1.62 ( ( comp_c_c_c @ ( F @ Y2 ) @ ( F @ X2 ) )
% 3.04/1.62 = ( comp_c_c_c @ ( F @ X2 ) @ ( F @ Y2 ) ) )
% 3.04/1.62 => ( finite746615251te_a_c @ F ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_21_comp__fun__commute_Ointro,axiom,
% 3.04/1.62 ! [F: b > d > d] :
% 3.04/1.62 ( ! [Y2: b,X2: b] :
% 3.04/1.62 ( ( comp_d_d_d @ ( F @ Y2 ) @ ( F @ X2 ) )
% 3.04/1.62 = ( comp_d_d_d @ ( F @ X2 ) @ ( F @ Y2 ) ) )
% 3.04/1.62 => ( finite1574384659te_b_d @ F ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_22_comp__fun__commute_Ocomp__fun__commute,axiom,
% 3.04/1.62 ! [F: a > c > c,Y: a,X: a] :
% 3.04/1.62 ( ( finite746615251te_a_c @ F )
% 3.04/1.62 => ( ( comp_c_c_c @ ( F @ Y ) @ ( F @ X ) )
% 3.04/1.62 = ( comp_c_c_c @ ( F @ X ) @ ( F @ Y ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_23_comp__fun__commute_Ocomp__fun__commute,axiom,
% 3.04/1.62 ! [F: b > d > d,Y: b,X: b] :
% 3.04/1.62 ( ( finite1574384659te_b_d @ F )
% 3.04/1.62 => ( ( comp_d_d_d @ ( F @ Y ) @ ( F @ X ) )
% 3.04/1.62 = ( comp_d_d_d @ ( F @ X ) @ ( F @ Y ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_24_fold__graph__closed__eq,axiom,
% 3.04/1.62 ! [A: set_b,B: set_d,F: b > d > d,G: b > d > d,Z: d] :
% 3.04/1.62 ( ! [A2: b,B2: d] :
% 3.04/1.62 ( ( member_b @ A2 @ A )
% 3.04/1.62 => ( ( member_d @ B2 @ B )
% 3.04/1.62 => ( ( F @ A2 @ B2 )
% 3.04/1.62 = ( G @ A2 @ B2 ) ) ) )
% 3.04/1.62 => ( ! [A2: b,B2: d] :
% 3.04/1.62 ( ( member_b @ A2 @ A )
% 3.04/1.62 => ( ( member_d @ B2 @ B )
% 3.04/1.62 => ( member_d @ ( G @ A2 @ B2 ) @ B ) ) )
% 3.04/1.62 => ( ( member_d @ Z @ B )
% 3.04/1.62 => ( ( finite191915528ph_b_d @ F @ Z @ A )
% 3.04/1.62 = ( finite191915528ph_b_d @ G @ Z @ A ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_25_fold__graph__closed__eq,axiom,
% 3.04/1.62 ! [A: set_a,B: set_c,F: a > c > c,G: a > c > c,Z: c] :
% 3.04/1.62 ( ! [A2: a,B2: c] :
% 3.04/1.62 ( ( member_a @ A2 @ A )
% 3.04/1.62 => ( ( member_c @ B2 @ B )
% 3.04/1.62 => ( ( F @ A2 @ B2 )
% 3.04/1.62 = ( G @ A2 @ B2 ) ) ) )
% 3.04/1.62 => ( ! [A2: a,B2: c] :
% 3.04/1.62 ( ( member_a @ A2 @ A )
% 3.04/1.62 => ( ( member_c @ B2 @ B )
% 3.04/1.62 => ( member_c @ ( G @ A2 @ B2 ) @ B ) ) )
% 3.04/1.62 => ( ( member_c @ Z @ B )
% 3.04/1.62 => ( ( finite1511629768ph_a_c @ F @ Z @ A )
% 3.04/1.62 = ( finite1511629768ph_a_c @ G @ Z @ A ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_26_fold__graph__closed__eq,axiom,
% 3.04/1.62 ! [A: set_a,B: set_a,F: a > a > a,G: a > a > a,Z: a] :
% 3.04/1.62 ( ! [A2: a,B2: a] :
% 3.04/1.62 ( ( member_a @ A2 @ A )
% 3.04/1.62 => ( ( member_a @ B2 @ B )
% 3.04/1.62 => ( ( F @ A2 @ B2 )
% 3.04/1.62 = ( G @ A2 @ B2 ) ) ) )
% 3.04/1.62 => ( ! [A2: a,B2: a] :
% 3.04/1.62 ( ( member_a @ A2 @ A )
% 3.04/1.62 => ( ( member_a @ B2 @ B )
% 3.04/1.62 => ( member_a @ ( G @ A2 @ B2 ) @ B ) ) )
% 3.04/1.62 => ( ( member_a @ Z @ B )
% 3.04/1.62 => ( ( finite1511629766ph_a_a @ F @ Z @ A )
% 3.04/1.62 = ( finite1511629766ph_a_a @ G @ Z @ A ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_27_fold__graph__closed__eq,axiom,
% 3.04/1.62 ! [A: set_a,B: set_b,F: a > b > b,G: a > b > b,Z: b] :
% 3.04/1.62 ( ! [A2: a,B2: b] :
% 3.04/1.62 ( ( member_a @ A2 @ A )
% 3.04/1.62 => ( ( member_b @ B2 @ B )
% 3.04/1.62 => ( ( F @ A2 @ B2 )
% 3.04/1.62 = ( G @ A2 @ B2 ) ) ) )
% 3.04/1.62 => ( ! [A2: a,B2: b] :
% 3.04/1.62 ( ( member_a @ A2 @ A )
% 3.04/1.62 => ( ( member_b @ B2 @ B )
% 3.04/1.62 => ( member_b @ ( G @ A2 @ B2 ) @ B ) ) )
% 3.04/1.62 => ( ( member_b @ Z @ B )
% 3.04/1.62 => ( ( finite1511629767ph_a_b @ F @ Z @ A )
% 3.04/1.62 = ( finite1511629767ph_a_b @ G @ Z @ A ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_28_fold__graph__closed__eq,axiom,
% 3.04/1.62 ! [A: set_a,B: set_d,F: a > d > d,G: a > d > d,Z: d] :
% 3.04/1.62 ( ! [A2: a,B2: d] :
% 3.04/1.62 ( ( member_a @ A2 @ A )
% 3.04/1.62 => ( ( member_d @ B2 @ B )
% 3.04/1.62 => ( ( F @ A2 @ B2 )
% 3.04/1.62 = ( G @ A2 @ B2 ) ) ) )
% 3.04/1.62 => ( ! [A2: a,B2: d] :
% 3.04/1.62 ( ( member_a @ A2 @ A )
% 3.04/1.62 => ( ( member_d @ B2 @ B )
% 3.04/1.62 => ( member_d @ ( G @ A2 @ B2 ) @ B ) ) )
% 3.04/1.62 => ( ( member_d @ Z @ B )
% 3.04/1.62 => ( ( finite1511629769ph_a_d @ F @ Z @ A )
% 3.04/1.62 = ( finite1511629769ph_a_d @ G @ Z @ A ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_29_fold__graph__closed__eq,axiom,
% 3.04/1.62 ! [A: set_c,B: set_a,F: c > a > a,G: c > a > a,Z: a] :
% 3.04/1.62 ( ! [A2: c,B2: a] :
% 3.04/1.62 ( ( member_c @ A2 @ A )
% 3.04/1.62 => ( ( member_a @ B2 @ B )
% 3.04/1.62 => ( ( F @ A2 @ B2 )
% 3.04/1.62 = ( G @ A2 @ B2 ) ) ) )
% 3.04/1.62 => ( ! [A2: c,B2: a] :
% 3.04/1.62 ( ( member_c @ A2 @ A )
% 3.04/1.62 => ( ( member_a @ B2 @ B )
% 3.04/1.62 => ( member_a @ ( G @ A2 @ B2 ) @ B ) ) )
% 3.04/1.62 => ( ( member_a @ Z @ B )
% 3.04/1.62 => ( ( finite1019684932ph_c_a @ F @ Z @ A )
% 3.04/1.62 = ( finite1019684932ph_c_a @ G @ Z @ A ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_30_fold__graph__closed__eq,axiom,
% 3.04/1.62 ! [A: set_c,B: set_c,F: c > c > c,G: c > c > c,Z: c] :
% 3.04/1.62 ( ! [A2: c,B2: c] :
% 3.04/1.62 ( ( member_c @ A2 @ A )
% 3.04/1.62 => ( ( member_c @ B2 @ B )
% 3.04/1.62 => ( ( F @ A2 @ B2 )
% 3.04/1.62 = ( G @ A2 @ B2 ) ) ) )
% 3.04/1.62 => ( ! [A2: c,B2: c] :
% 3.04/1.62 ( ( member_c @ A2 @ A )
% 3.04/1.62 => ( ( member_c @ B2 @ B )
% 3.04/1.62 => ( member_c @ ( G @ A2 @ B2 ) @ B ) ) )
% 3.04/1.62 => ( ( member_c @ Z @ B )
% 3.04/1.62 => ( ( finite1019684934ph_c_c @ F @ Z @ A )
% 3.04/1.62 = ( finite1019684934ph_c_c @ G @ Z @ A ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_31_fold__graph__closed__eq,axiom,
% 3.04/1.62 ! [A: set_c,B: set_b,F: c > b > b,G: c > b > b,Z: b] :
% 3.04/1.62 ( ! [A2: c,B2: b] :
% 3.04/1.62 ( ( member_c @ A2 @ A )
% 3.04/1.62 => ( ( member_b @ B2 @ B )
% 3.04/1.62 => ( ( F @ A2 @ B2 )
% 3.04/1.62 = ( G @ A2 @ B2 ) ) ) )
% 3.04/1.62 => ( ! [A2: c,B2: b] :
% 3.04/1.62 ( ( member_c @ A2 @ A )
% 3.04/1.62 => ( ( member_b @ B2 @ B )
% 3.04/1.62 => ( member_b @ ( G @ A2 @ B2 ) @ B ) ) )
% 3.04/1.62 => ( ( member_b @ Z @ B )
% 3.04/1.62 => ( ( finite1019684933ph_c_b @ F @ Z @ A )
% 3.04/1.62 = ( finite1019684933ph_c_b @ G @ Z @ A ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_32_fold__graph__closed__eq,axiom,
% 3.04/1.62 ! [A: set_c,B: set_d,F: c > d > d,G: c > d > d,Z: d] :
% 3.04/1.62 ( ! [A2: c,B2: d] :
% 3.04/1.62 ( ( member_c @ A2 @ A )
% 3.04/1.62 => ( ( member_d @ B2 @ B )
% 3.04/1.62 => ( ( F @ A2 @ B2 )
% 3.04/1.62 = ( G @ A2 @ B2 ) ) ) )
% 3.04/1.62 => ( ! [A2: c,B2: d] :
% 3.04/1.62 ( ( member_c @ A2 @ A )
% 3.04/1.62 => ( ( member_d @ B2 @ B )
% 3.04/1.62 => ( member_d @ ( G @ A2 @ B2 ) @ B ) ) )
% 3.04/1.62 => ( ( member_d @ Z @ B )
% 3.04/1.62 => ( ( finite1019684935ph_c_d @ F @ Z @ A )
% 3.04/1.62 = ( finite1019684935ph_c_d @ G @ Z @ A ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_33_fold__graph__closed__eq,axiom,
% 3.04/1.62 ! [A: set_b,B: set_a,F: b > a > a,G: b > a > a,Z: a] :
% 3.04/1.62 ( ! [A2: b,B2: a] :
% 3.04/1.62 ( ( member_b @ A2 @ A )
% 3.04/1.62 => ( ( member_a @ B2 @ B )
% 3.04/1.62 => ( ( F @ A2 @ B2 )
% 3.04/1.62 = ( G @ A2 @ B2 ) ) ) )
% 3.04/1.62 => ( ! [A2: b,B2: a] :
% 3.04/1.62 ( ( member_b @ A2 @ A )
% 3.04/1.62 => ( ( member_a @ B2 @ B )
% 3.04/1.62 => ( member_a @ ( G @ A2 @ B2 ) @ B ) ) )
% 3.04/1.62 => ( ( member_a @ Z @ B )
% 3.04/1.62 => ( ( finite191915525ph_b_a @ F @ Z @ A )
% 3.04/1.62 = ( finite191915525ph_b_a @ G @ Z @ A ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_34_fold__graph__closed__lemma,axiom,
% 3.04/1.62 ! [G: b > d > d,Z: d,A: set_b,X: d,B: set_d,F: b > d > d] :
% 3.04/1.62 ( ( finite191915528ph_b_d @ G @ Z @ A @ X )
% 3.04/1.62 => ( ! [A2: b,B2: d] :
% 3.04/1.62 ( ( member_b @ A2 @ A )
% 3.04/1.62 => ( ( member_d @ B2 @ B )
% 3.04/1.62 => ( ( F @ A2 @ B2 )
% 3.04/1.62 = ( G @ A2 @ B2 ) ) ) )
% 3.04/1.62 => ( ! [A2: b,B2: d] :
% 3.04/1.62 ( ( member_b @ A2 @ A )
% 3.04/1.62 => ( ( member_d @ B2 @ B )
% 3.04/1.62 => ( member_d @ ( G @ A2 @ B2 ) @ B ) ) )
% 3.04/1.62 => ( ( member_d @ Z @ B )
% 3.04/1.62 => ( ( finite191915528ph_b_d @ F @ Z @ A @ X )
% 3.04/1.62 & ( member_d @ X @ B ) ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_35_fold__graph__closed__lemma,axiom,
% 3.04/1.62 ! [G: a > c > c,Z: c,A: set_a,X: c,B: set_c,F: a > c > c] :
% 3.04/1.62 ( ( finite1511629768ph_a_c @ G @ Z @ A @ X )
% 3.04/1.62 => ( ! [A2: a,B2: c] :
% 3.04/1.62 ( ( member_a @ A2 @ A )
% 3.04/1.62 => ( ( member_c @ B2 @ B )
% 3.04/1.62 => ( ( F @ A2 @ B2 )
% 3.04/1.62 = ( G @ A2 @ B2 ) ) ) )
% 3.04/1.62 => ( ! [A2: a,B2: c] :
% 3.04/1.62 ( ( member_a @ A2 @ A )
% 3.04/1.62 => ( ( member_c @ B2 @ B )
% 3.04/1.62 => ( member_c @ ( G @ A2 @ B2 ) @ B ) ) )
% 3.04/1.62 => ( ( member_c @ Z @ B )
% 3.04/1.62 => ( ( finite1511629768ph_a_c @ F @ Z @ A @ X )
% 3.04/1.62 & ( member_c @ X @ B ) ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_36_fold__graph__closed__lemma,axiom,
% 3.04/1.62 ! [G: a > a > a,Z: a,A: set_a,X: a,B: set_a,F: a > a > a] :
% 3.04/1.62 ( ( finite1511629766ph_a_a @ G @ Z @ A @ X )
% 3.04/1.62 => ( ! [A2: a,B2: a] :
% 3.04/1.62 ( ( member_a @ A2 @ A )
% 3.04/1.62 => ( ( member_a @ B2 @ B )
% 3.04/1.62 => ( ( F @ A2 @ B2 )
% 3.04/1.62 = ( G @ A2 @ B2 ) ) ) )
% 3.04/1.62 => ( ! [A2: a,B2: a] :
% 3.04/1.62 ( ( member_a @ A2 @ A )
% 3.04/1.62 => ( ( member_a @ B2 @ B )
% 3.04/1.62 => ( member_a @ ( G @ A2 @ B2 ) @ B ) ) )
% 3.04/1.62 => ( ( member_a @ Z @ B )
% 3.04/1.62 => ( ( finite1511629766ph_a_a @ F @ Z @ A @ X )
% 3.04/1.62 & ( member_a @ X @ B ) ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_37_fold__graph__closed__lemma,axiom,
% 3.04/1.62 ! [G: a > b > b,Z: b,A: set_a,X: b,B: set_b,F: a > b > b] :
% 3.04/1.62 ( ( finite1511629767ph_a_b @ G @ Z @ A @ X )
% 3.04/1.62 => ( ! [A2: a,B2: b] :
% 3.04/1.62 ( ( member_a @ A2 @ A )
% 3.04/1.62 => ( ( member_b @ B2 @ B )
% 3.04/1.62 => ( ( F @ A2 @ B2 )
% 3.04/1.62 = ( G @ A2 @ B2 ) ) ) )
% 3.04/1.62 => ( ! [A2: a,B2: b] :
% 3.04/1.62 ( ( member_a @ A2 @ A )
% 3.04/1.62 => ( ( member_b @ B2 @ B )
% 3.04/1.62 => ( member_b @ ( G @ A2 @ B2 ) @ B ) ) )
% 3.04/1.62 => ( ( member_b @ Z @ B )
% 3.04/1.62 => ( ( finite1511629767ph_a_b @ F @ Z @ A @ X )
% 3.04/1.62 & ( member_b @ X @ B ) ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_38_fold__graph__closed__lemma,axiom,
% 3.04/1.62 ! [G: a > d > d,Z: d,A: set_a,X: d,B: set_d,F: a > d > d] :
% 3.04/1.62 ( ( finite1511629769ph_a_d @ G @ Z @ A @ X )
% 3.04/1.62 => ( ! [A2: a,B2: d] :
% 3.04/1.62 ( ( member_a @ A2 @ A )
% 3.04/1.62 => ( ( member_d @ B2 @ B )
% 3.04/1.62 => ( ( F @ A2 @ B2 )
% 3.04/1.62 = ( G @ A2 @ B2 ) ) ) )
% 3.04/1.62 => ( ! [A2: a,B2: d] :
% 3.04/1.62 ( ( member_a @ A2 @ A )
% 3.04/1.62 => ( ( member_d @ B2 @ B )
% 3.04/1.62 => ( member_d @ ( G @ A2 @ B2 ) @ B ) ) )
% 3.04/1.62 => ( ( member_d @ Z @ B )
% 3.04/1.62 => ( ( finite1511629769ph_a_d @ F @ Z @ A @ X )
% 3.04/1.62 & ( member_d @ X @ B ) ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_39_fold__graph__closed__lemma,axiom,
% 3.04/1.62 ! [G: c > a > a,Z: a,A: set_c,X: a,B: set_a,F: c > a > a] :
% 3.04/1.62 ( ( finite1019684932ph_c_a @ G @ Z @ A @ X )
% 3.04/1.62 => ( ! [A2: c,B2: a] :
% 3.04/1.62 ( ( member_c @ A2 @ A )
% 3.04/1.62 => ( ( member_a @ B2 @ B )
% 3.04/1.62 => ( ( F @ A2 @ B2 )
% 3.04/1.62 = ( G @ A2 @ B2 ) ) ) )
% 3.04/1.62 => ( ! [A2: c,B2: a] :
% 3.04/1.62 ( ( member_c @ A2 @ A )
% 3.04/1.62 => ( ( member_a @ B2 @ B )
% 3.04/1.62 => ( member_a @ ( G @ A2 @ B2 ) @ B ) ) )
% 3.04/1.62 => ( ( member_a @ Z @ B )
% 3.04/1.62 => ( ( finite1019684932ph_c_a @ F @ Z @ A @ X )
% 3.04/1.62 & ( member_a @ X @ B ) ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_40_fold__graph__closed__lemma,axiom,
% 3.04/1.62 ! [G: c > c > c,Z: c,A: set_c,X: c,B: set_c,F: c > c > c] :
% 3.04/1.62 ( ( finite1019684934ph_c_c @ G @ Z @ A @ X )
% 3.04/1.62 => ( ! [A2: c,B2: c] :
% 3.04/1.62 ( ( member_c @ A2 @ A )
% 3.04/1.62 => ( ( member_c @ B2 @ B )
% 3.04/1.62 => ( ( F @ A2 @ B2 )
% 3.04/1.62 = ( G @ A2 @ B2 ) ) ) )
% 3.04/1.62 => ( ! [A2: c,B2: c] :
% 3.04/1.62 ( ( member_c @ A2 @ A )
% 3.04/1.62 => ( ( member_c @ B2 @ B )
% 3.04/1.62 => ( member_c @ ( G @ A2 @ B2 ) @ B ) ) )
% 3.04/1.62 => ( ( member_c @ Z @ B )
% 3.04/1.62 => ( ( finite1019684934ph_c_c @ F @ Z @ A @ X )
% 3.04/1.62 & ( member_c @ X @ B ) ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_41_fold__graph__closed__lemma,axiom,
% 3.04/1.62 ! [G: c > b > b,Z: b,A: set_c,X: b,B: set_b,F: c > b > b] :
% 3.04/1.62 ( ( finite1019684933ph_c_b @ G @ Z @ A @ X )
% 3.04/1.62 => ( ! [A2: c,B2: b] :
% 3.04/1.62 ( ( member_c @ A2 @ A )
% 3.04/1.62 => ( ( member_b @ B2 @ B )
% 3.04/1.62 => ( ( F @ A2 @ B2 )
% 3.04/1.62 = ( G @ A2 @ B2 ) ) ) )
% 3.04/1.62 => ( ! [A2: c,B2: b] :
% 3.04/1.62 ( ( member_c @ A2 @ A )
% 3.04/1.62 => ( ( member_b @ B2 @ B )
% 3.04/1.62 => ( member_b @ ( G @ A2 @ B2 ) @ B ) ) )
% 3.04/1.62 => ( ( member_b @ Z @ B )
% 3.04/1.62 => ( ( finite1019684933ph_c_b @ F @ Z @ A @ X )
% 3.04/1.62 & ( member_b @ X @ B ) ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_42_fold__graph__closed__lemma,axiom,
% 3.04/1.62 ! [G: c > d > d,Z: d,A: set_c,X: d,B: set_d,F: c > d > d] :
% 3.04/1.62 ( ( finite1019684935ph_c_d @ G @ Z @ A @ X )
% 3.04/1.62 => ( ! [A2: c,B2: d] :
% 3.04/1.62 ( ( member_c @ A2 @ A )
% 3.04/1.62 => ( ( member_d @ B2 @ B )
% 3.04/1.62 => ( ( F @ A2 @ B2 )
% 3.04/1.62 = ( G @ A2 @ B2 ) ) ) )
% 3.04/1.62 => ( ! [A2: c,B2: d] :
% 3.04/1.62 ( ( member_c @ A2 @ A )
% 3.04/1.62 => ( ( member_d @ B2 @ B )
% 3.04/1.62 => ( member_d @ ( G @ A2 @ B2 ) @ B ) ) )
% 3.04/1.62 => ( ( member_d @ Z @ B )
% 3.04/1.62 => ( ( finite1019684935ph_c_d @ F @ Z @ A @ X )
% 3.04/1.62 & ( member_d @ X @ B ) ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_43_fold__graph__closed__lemma,axiom,
% 3.04/1.62 ! [G: b > a > a,Z: a,A: set_b,X: a,B: set_a,F: b > a > a] :
% 3.04/1.62 ( ( finite191915525ph_b_a @ G @ Z @ A @ X )
% 3.04/1.62 => ( ! [A2: b,B2: a] :
% 3.04/1.62 ( ( member_b @ A2 @ A )
% 3.04/1.62 => ( ( member_a @ B2 @ B )
% 3.04/1.62 => ( ( F @ A2 @ B2 )
% 3.04/1.62 = ( G @ A2 @ B2 ) ) ) )
% 3.04/1.62 => ( ! [A2: b,B2: a] :
% 3.04/1.62 ( ( member_b @ A2 @ A )
% 3.04/1.62 => ( ( member_a @ B2 @ B )
% 3.04/1.62 => ( member_a @ ( G @ A2 @ B2 ) @ B ) ) )
% 3.04/1.62 => ( ( member_a @ Z @ B )
% 3.04/1.62 => ( ( finite191915525ph_b_a @ F @ Z @ A @ X )
% 3.04/1.62 & ( member_a @ X @ B ) ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_44_comp__fun__idem_Ocomp__fun__idem,axiom,
% 3.04/1.62 ! [F: b > d > d,X: b] :
% 3.04/1.62 ( ( finite868010766em_b_d @ F )
% 3.04/1.62 => ( ( comp_d_d_d @ ( F @ X ) @ ( F @ X ) )
% 3.04/1.62 = ( F @ X ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_45_comp__fun__idem_Ocomp__fun__idem,axiom,
% 3.04/1.62 ! [F: a > c > c,X: a] :
% 3.04/1.62 ( ( finite40241358em_a_c @ F )
% 3.04/1.62 => ( ( comp_c_c_c @ ( F @ X ) @ ( F @ X ) )
% 3.04/1.62 = ( F @ X ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_46_comp__fun__idem_Ofun__left__idem,axiom,
% 3.04/1.62 ! [F: b > d > d,X: b,Z: d] :
% 3.04/1.62 ( ( finite868010766em_b_d @ F )
% 3.04/1.62 => ( ( F @ X @ ( F @ X @ Z ) )
% 3.04/1.62 = ( F @ X @ Z ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_47_comp__fun__idem_Ofun__left__idem,axiom,
% 3.04/1.62 ! [F: a > c > c,X: a,Z: c] :
% 3.04/1.62 ( ( finite40241358em_a_c @ F )
% 3.04/1.62 => ( ( F @ X @ ( F @ X @ Z ) )
% 3.04/1.62 = ( F @ X @ Z ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_48_comp__fun__idem_Ocomp__comp__fun__idem,axiom,
% 3.04/1.62 ! [F: a > c > c,G: b > a] :
% 3.04/1.62 ( ( finite40241358em_a_c @ F )
% 3.04/1.62 => ( finite868010765em_b_c @ ( comp_a_c_c_b @ F @ G ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_49_comp__fun__idem_Ocomp__comp__fun__idem,axiom,
% 3.04/1.62 ! [F: b > d > d,G: b > b] :
% 3.04/1.62 ( ( finite868010766em_b_d @ F )
% 3.04/1.62 => ( finite868010766em_b_d @ ( comp_b_d_d_b @ F @ G ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_50_comp__fun__idem_Ocomp__comp__fun__idem,axiom,
% 3.04/1.62 ! [F: a > c > c,G: a > a] :
% 3.04/1.62 ( ( finite40241358em_a_c @ F )
% 3.04/1.62 => ( finite40241358em_a_c @ ( comp_a_c_c_a @ F @ G ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_51_comp__apply,axiom,
% 3.04/1.62 ( comp_b_b_d_d
% 3.04/1.62 = ( ^ [F2: b > b,G2: ( d > d ) > b,X3: d > d] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_52_comp__apply,axiom,
% 3.04/1.62 ( comp_b_b_b
% 3.04/1.62 = ( ^ [F2: b > b,G2: b > b,X3: b] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_53_comp__apply,axiom,
% 3.04/1.62 ( comp_a_c_c_b
% 3.04/1.62 = ( ^ [F2: a > c > c,G2: b > a,X3: b] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_54_comp__apply,axiom,
% 3.04/1.62 ( comp_a_a_c_c
% 3.04/1.62 = ( ^ [F2: a > a,G2: ( c > c ) > a,X3: c > c] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_55_comp__apply,axiom,
% 3.04/1.62 ( comp_a_a_a
% 3.04/1.62 = ( ^ [F2: a > a,G2: a > a,X3: a] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_56_comp__apply,axiom,
% 3.04/1.62 ( comp_b_d_d_b
% 3.04/1.62 = ( ^ [F2: b > d > d,G2: b > b,X3: b] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_57_comp__apply,axiom,
% 3.04/1.62 ( comp_a_c_c_a
% 3.04/1.62 = ( ^ [F2: a > c > c,G2: a > a,X3: a] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_58_rel__funI,axiom,
% 3.04/1.62 ! [A: a > b > $o,B: a > b > $o,F: a > a,G: b > b] :
% 3.04/1.62 ( ! [X2: a,Y2: b] :
% 3.04/1.62 ( ( A @ X2 @ Y2 )
% 3.04/1.62 => ( B @ ( F @ X2 ) @ ( G @ Y2 ) ) )
% 3.04/1.62 => ( bNF_rel_fun_a_b_a_b @ A @ B @ F @ G ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_59_rel__funI,axiom,
% 3.04/1.62 ! [A: a > a > $o,B: ( c > c ) > ( d > d ) > $o,F: a > c > c,G: a > d > d] :
% 3.04/1.62 ( ! [X2: a,Y2: a] :
% 3.04/1.62 ( ( A @ X2 @ Y2 )
% 3.04/1.62 => ( B @ ( F @ X2 ) @ ( G @ Y2 ) ) )
% 3.04/1.62 => ( bNF_re1979731817_c_d_d @ A @ B @ F @ G ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_60_rel__funI,axiom,
% 3.04/1.62 ! [A: a > a > $o,B: ( c > c ) > ( c > c ) > $o,F: a > c > c,G: a > c > c] :
% 3.04/1.62 ( ! [X2: a,Y2: a] :
% 3.04/1.62 ( ( A @ X2 @ Y2 )
% 3.04/1.62 => ( B @ ( F @ X2 ) @ ( G @ Y2 ) ) )
% 3.04/1.62 => ( bNF_re1143700905_c_c_c @ A @ B @ F @ G ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_61_rel__funI,axiom,
% 3.04/1.62 ! [A: a > a > $o,B: a > b > $o,F: a > a,G: a > b] :
% 3.04/1.62 ( ! [X2: a,Y2: a] :
% 3.04/1.62 ( ( A @ X2 @ Y2 )
% 3.04/1.62 => ( B @ ( F @ X2 ) @ ( G @ Y2 ) ) )
% 3.04/1.62 => ( bNF_rel_fun_a_a_a_b @ A @ B @ F @ G ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_62_rel__funI,axiom,
% 3.04/1.62 ! [A: a > a > $o,B: a > a > $o,F: a > a,G: a > a] :
% 3.04/1.62 ( ! [X2: a,Y2: a] :
% 3.04/1.62 ( ( A @ X2 @ Y2 )
% 3.04/1.62 => ( B @ ( F @ X2 ) @ ( G @ Y2 ) ) )
% 3.04/1.62 => ( bNF_rel_fun_a_a_a_a @ A @ B @ F @ G ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_63_rel__funI,axiom,
% 3.04/1.62 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o,F: a > c > c,G: b > d > d] :
% 3.04/1.62 ( ! [X2: a,Y2: b] :
% 3.04/1.62 ( ( A @ X2 @ Y2 )
% 3.04/1.62 => ( B @ ( F @ X2 ) @ ( G @ Y2 ) ) )
% 3.04/1.62 => ( bNF_re802603882_c_d_d @ A @ B @ F @ G ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_64_rel__funI,axiom,
% 3.04/1.62 ! [A: c > d > $o,B: c > d > $o,F: c > c,G: d > d] :
% 3.04/1.62 ( ! [X2: c,Y2: d] :
% 3.04/1.62 ( ( A @ X2 @ Y2 )
% 3.04/1.62 => ( B @ ( F @ X2 ) @ ( G @ Y2 ) ) )
% 3.04/1.62 => ( bNF_rel_fun_c_d_c_d @ A @ B @ F @ G ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_65_If__transfer,axiom,
% 3.04/1.62 ! [A: a > b > $o] :
% 3.04/1.62 ( bNF_re588060702_b_b_b
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 )
% 3.04/1.62 @ ( bNF_re569932906_a_b_b @ A @ ( bNF_rel_fun_a_b_a_b @ A @ A ) )
% 3.04/1.62 @ if_a
% 3.04/1.62 @ if_b ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_66_If__transfer,axiom,
% 3.04/1.62 ! [A: a > a > $o] :
% 3.04/1.62 ( bNF_re1705765981_a_a_a
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 )
% 3.04/1.62 @ ( bNF_re911029929_a_a_a @ A @ ( bNF_rel_fun_a_a_a_a @ A @ A ) )
% 3.04/1.62 @ if_a
% 3.04/1.62 @ if_a ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_67_If__transfer,axiom,
% 3.04/1.62 ! [A: c > d > $o] :
% 3.04/1.62 ( bNF_re647211934_d_d_d
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 )
% 3.04/1.62 @ ( bNF_re1972258794_c_d_d @ A @ ( bNF_rel_fun_c_d_c_d @ A @ A ) )
% 3.04/1.62 @ if_c
% 3.04/1.62 @ if_d ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_68_rel__fun__def__butlast,axiom,
% 3.04/1.62 ! [R: a > a > $o,S2: c > d > $o,T: c > d > $o,F: a > c > c,G: a > d > d] :
% 3.04/1.62 ( ( bNF_re1979731817_c_d_d @ R @ ( bNF_rel_fun_c_d_c_d @ S2 @ T ) @ F @ G )
% 3.04/1.62 = ( ! [X3: a,Y3: a] :
% 3.04/1.62 ( ( R @ X3 @ Y3 )
% 3.04/1.62 => ( bNF_rel_fun_c_d_c_d @ S2 @ T @ ( F @ X3 ) @ ( G @ Y3 ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_69_rel__fun__def__butlast,axiom,
% 3.04/1.62 ! [R: a > a > $o,S2: c > c > $o,T: c > c > $o,F: a > c > c,G: a > c > c] :
% 3.04/1.62 ( ( bNF_re1143700905_c_c_c @ R @ ( bNF_rel_fun_c_c_c_c @ S2 @ T ) @ F @ G )
% 3.04/1.62 = ( ! [X3: a,Y3: a] :
% 3.04/1.62 ( ( R @ X3 @ Y3 )
% 3.04/1.62 => ( bNF_rel_fun_c_c_c_c @ S2 @ T @ ( F @ X3 ) @ ( G @ Y3 ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_70_rel__fun__def__butlast,axiom,
% 3.04/1.62 ! [R: a > b > $o,S2: c > d > $o,T: c > d > $o,F: a > c > c,G: b > d > d] :
% 3.04/1.62 ( ( bNF_re802603882_c_d_d @ R @ ( bNF_rel_fun_c_d_c_d @ S2 @ T ) @ F @ G )
% 3.04/1.62 = ( ! [X3: a,Y3: b] :
% 3.04/1.62 ( ( R @ X3 @ Y3 )
% 3.04/1.62 => ( bNF_rel_fun_c_d_c_d @ S2 @ T @ ( F @ X3 ) @ ( G @ Y3 ) ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_71_o__rsp_I2_J,axiom,
% 3.04/1.62 ! [R1: b > b > $o] :
% 3.04/1.62 ( bNF_re742509149_b_d_d
% 3.04/1.62 @ ^ [Y4: b > d > d,Z2: b > d > d] : ( Y4 = Z2 )
% 3.04/1.62 @ ( bNF_re1412708073_b_d_d
% 3.04/1.62 @ ( bNF_rel_fun_b_b_b_b @ R1
% 3.04/1.62 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 ) )
% 3.04/1.62 @ ( bNF_re1844863849_d_d_d @ R1
% 3.04/1.62 @ ^ [Y4: d > d,Z2: d > d] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ comp_b_d_d_b
% 3.04/1.62 @ comp_b_d_d_b ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_72_o__rsp_I2_J,axiom,
% 3.04/1.62 ! [R1: a > a > $o] :
% 3.04/1.62 ( bNF_re880840541_a_c_c
% 3.04/1.62 @ ^ [Y4: a > c > c,Z2: a > c > c] : ( Y4 = Z2 )
% 3.04/1.62 @ ( bNF_re1691224489_a_c_c
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a @ R1
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 3.04/1.62 @ ( bNF_re1143700905_c_c_c @ R1
% 3.04/1.62 @ ^ [Y4: c > c,Z2: c > c] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ comp_a_c_c_a
% 3.04/1.62 @ comp_a_c_c_a ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_73_o__rsp_I2_J,axiom,
% 3.04/1.62 ! [R1: b > b > $o] :
% 3.04/1.62 ( bNF_re1222471293_b_b_b
% 3.04/1.62 @ ^ [Y4: b > b,Z2: b > b] : ( Y4 = Z2 )
% 3.04/1.62 @ ( bNF_re2075418869_b_b_b
% 3.04/1.62 @ ( bNF_rel_fun_b_b_b_b @ R1
% 3.04/1.62 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 ) )
% 3.04/1.62 @ ( bNF_rel_fun_b_b_b_b @ R1
% 3.04/1.62 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ comp_b_b_b
% 3.04/1.62 @ comp_b_b_b ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_74_o__rsp_I2_J,axiom,
% 3.04/1.62 ! [R1: a > a > $o] :
% 3.04/1.62 ( bNF_re1258259453_a_a_a
% 3.04/1.62 @ ^ [Y4: a > a,Z2: a > a] : ( Y4 = Z2 )
% 3.04/1.62 @ ( bNF_re1690311157_a_a_a
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a @ R1
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a @ R1
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ comp_a_a_a
% 3.04/1.62 @ comp_a_a_a ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_75_o__rsp_I2_J,axiom,
% 3.04/1.62 ! [R1: a > b > $o] :
% 3.04/1.62 ( bNF_re1311853791_b_c_c
% 3.04/1.62 @ ^ [Y4: a > c > c,Z2: a > c > c] : ( Y4 = Z2 )
% 3.04/1.62 @ ( bNF_re1665173865_b_c_c
% 3.04/1.62 @ ( bNF_rel_fun_a_b_a_a @ R1
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 3.04/1.62 @ ( bNF_re2114056618_c_c_c @ R1
% 3.04/1.62 @ ^ [Y4: c > c,Z2: c > c] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ comp_a_c_c_a
% 3.04/1.62 @ comp_a_c_c_b ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_76_o__rsp_I2_J,axiom,
% 3.04/1.62 ! [R1: ( d > d ) > b > $o] :
% 3.04/1.62 ( bNF_re1138812345_b_b_b
% 3.04/1.62 @ ^ [Y4: b > b,Z2: b > b] : ( Y4 = Z2 )
% 3.04/1.62 @ ( bNF_re323253981_b_b_b
% 3.04/1.62 @ ( bNF_re1703323451_b_b_b @ R1
% 3.04/1.62 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 ) )
% 3.04/1.62 @ ( bNF_re1703323451_b_b_b @ R1
% 3.04/1.62 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ comp_b_b_d_d
% 3.04/1.62 @ comp_b_b_b ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_77_o__rsp_I2_J,axiom,
% 3.04/1.62 ! [R1: b > ( d > d ) > $o] :
% 3.04/1.62 ( bNF_re961930425_d_d_b
% 3.04/1.62 @ ^ [Y4: b > b,Z2: b > b] : ( Y4 = Z2 )
% 3.04/1.62 @ ( bNF_re1794062813_d_d_b
% 3.04/1.62 @ ( bNF_re1573506119_d_b_b @ R1
% 3.04/1.62 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 ) )
% 3.04/1.62 @ ( bNF_re1573506119_d_b_b @ R1
% 3.04/1.62 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ comp_b_b_b
% 3.04/1.62 @ comp_b_b_d_d ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_78_o__rsp_I2_J,axiom,
% 3.04/1.62 ! [R1: b > a > $o] :
% 3.04/1.62 ( bNF_re978949211_a_c_c
% 3.04/1.62 @ ^ [Y4: a > c > c,Z2: a > c > c] : ( Y4 = Z2 )
% 3.04/1.62 @ ( bNF_re1591514407_a_c_c
% 3.04/1.62 @ ( bNF_rel_fun_b_a_a_a @ R1
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 3.04/1.62 @ ( bNF_re758172648_c_c_c @ R1
% 3.04/1.62 @ ^ [Y4: c > c,Z2: c > c] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ comp_a_c_c_b
% 3.04/1.62 @ comp_a_c_c_a ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_79_o__rsp_I2_J,axiom,
% 3.04/1.62 ! [R1: b > b > $o] :
% 3.04/1.62 ( bNF_re1409962461_b_c_c
% 3.04/1.62 @ ^ [Y4: a > c > c,Z2: a > c > c] : ( Y4 = Z2 )
% 3.04/1.62 @ ( bNF_re1565463783_b_c_c
% 3.04/1.62 @ ( bNF_rel_fun_b_b_a_a @ R1
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 3.04/1.62 @ ( bNF_re1728528361_c_c_c @ R1
% 3.04/1.62 @ ^ [Y4: c > c,Z2: c > c] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ comp_a_c_c_b
% 3.04/1.62 @ comp_a_c_c_b ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_80_o__rsp_I2_J,axiom,
% 3.04/1.62 ! [R1: ( c > c ) > a > $o] :
% 3.04/1.62 ( bNF_re1503602041_a_a_a
% 3.04/1.62 @ ^ [Y4: a > a,Z2: a > a] : ( Y4 = Z2 )
% 3.04/1.62 @ ( bNF_re1177671453_a_a_a
% 3.04/1.62 @ ( bNF_re1424579386_a_a_a @ R1
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 3.04/1.62 @ ( bNF_re1424579386_a_a_a @ R1
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ comp_a_a_c_c
% 3.04/1.62 @ comp_a_a_a ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_81_o__rsp_I1_J,axiom,
% 3.04/1.62 ! [R2: c > d > $o,R3: c > d > $o,R1: c > d > $o] : ( bNF_re764096061_d_d_d @ ( bNF_rel_fun_c_d_c_d @ R2 @ R3 ) @ ( bNF_re2078100341_c_d_d @ ( bNF_rel_fun_c_d_c_d @ R1 @ R2 ) @ ( bNF_rel_fun_c_d_c_d @ R1 @ R3 ) ) @ comp_c_c_c @ comp_d_d_d ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_82_o__rsp_I1_J,axiom,
% 3.04/1.62 ! [R2: b > b > $o,R3: ( d > d ) > ( d > d ) > $o,R1: b > b > $o] : ( bNF_re742509149_b_d_d @ ( bNF_re1844863849_d_d_d @ R2 @ R3 ) @ ( bNF_re1412708073_b_d_d @ ( bNF_rel_fun_b_b_b_b @ R1 @ R2 ) @ ( bNF_re1844863849_d_d_d @ R1 @ R3 ) ) @ comp_b_d_d_b @ comp_b_d_d_b ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_83_o__rsp_I1_J,axiom,
% 3.04/1.62 ! [R2: b > a > $o,R3: ( d > d ) > ( c > c ) > $o,R1: b > a > $o] : ( bNF_re561231771_a_c_c @ ( bNF_re38477224_d_c_c @ R2 @ R3 ) @ ( bNF_re1342462312_a_c_c @ ( bNF_rel_fun_b_a_b_a @ R1 @ R2 ) @ ( bNF_re38477224_d_c_c @ R1 @ R3 ) ) @ comp_b_d_d_b @ comp_a_c_c_a ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_84_o__rsp_I1_J,axiom,
% 3.04/1.62 ! [R2: a > a > $o,R3: ( c > c ) > ( c > c ) > $o,R1: a > a > $o] : ( bNF_re880840541_a_c_c @ ( bNF_re1143700905_c_c_c @ R2 @ R3 ) @ ( bNF_re1691224489_a_c_c @ ( bNF_rel_fun_a_a_a_a @ R1 @ R2 ) @ ( bNF_re1143700905_c_c_c @ R1 @ R3 ) ) @ comp_a_c_c_a @ comp_a_c_c_a ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_85_o__rsp_I1_J,axiom,
% 3.04/1.62 ! [R2: a > b > $o,R3: ( c > c ) > ( d > d ) > $o,R1: a > b > $o] : ( bNF_re1062117919_b_d_d @ ( bNF_re802603882_c_d_d @ R2 @ R3 ) @ ( bNF_re1761470250_b_d_d @ ( bNF_rel_fun_a_b_a_b @ R1 @ R2 ) @ ( bNF_re802603882_c_d_d @ R1 @ R3 ) ) @ comp_a_c_c_a @ comp_b_d_d_b ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_86_o__rsp_I1_J,axiom,
% 3.04/1.62 ! [R2: ( c > c ) > ( d > d ) > $o,R3: ( c > c ) > ( d > d ) > $o,R1: a > b > $o] : ( bNF_re141854397_b_d_d @ ( bNF_re2078100341_c_d_d @ R2 @ R3 ) @ ( bNF_re692482399_b_d_d @ ( bNF_re802603882_c_d_d @ R1 @ R2 ) @ ( bNF_re802603882_c_d_d @ R1 @ R3 ) ) @ comp_c_c_c_c_a @ comp_d_d_d_d_b ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_87_o__rsp_I1_J,axiom,
% 3.04/1.62 ! [R2: b > b > $o,R3: b > b > $o,R1: b > b > $o] : ( bNF_re1222471293_b_b_b @ ( bNF_rel_fun_b_b_b_b @ R2 @ R3 ) @ ( bNF_re2075418869_b_b_b @ ( bNF_rel_fun_b_b_b_b @ R1 @ R2 ) @ ( bNF_rel_fun_b_b_b_b @ R1 @ R3 ) ) @ comp_b_b_b @ comp_b_b_b ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_88_o__rsp_I1_J,axiom,
% 3.04/1.62 ! [R2: b > a > $o,R3: b > a > $o,R1: b > a > $o] : ( bNF_re1645058365_a_a_a @ ( bNF_rel_fun_b_a_b_a @ R2 @ R3 ) @ ( bNF_re310361461_b_a_a @ ( bNF_rel_fun_b_a_b_a @ R1 @ R2 ) @ ( bNF_rel_fun_b_a_b_a @ R1 @ R3 ) ) @ comp_b_b_b @ comp_a_a_a ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_89_o__rsp_I1_J,axiom,
% 3.04/1.62 ! [R2: a > b > $o,R3: a > a > $o,R1: a > a > $o] : ( bNF_re539937469_b_a_a @ ( bNF_rel_fun_a_b_a_a @ R2 @ R3 ) @ ( bNF_re857382262_a_a_a @ ( bNF_rel_fun_a_a_a_b @ R1 @ R2 ) @ ( bNF_rel_fun_a_a_a_a @ R1 @ R3 ) ) @ comp_a_a_a @ comp_b_a_a ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_90_o__rsp_I1_J,axiom,
% 3.04/1.62 ! [R2: a > b > $o,R3: a > b > $o,R1: a > b > $o] : ( bNF_re835672381_b_b_b @ ( bNF_rel_fun_a_b_a_b @ R2 @ R3 ) @ ( bNF_re1307884917_a_b_b @ ( bNF_rel_fun_a_b_a_b @ R1 @ R2 ) @ ( bNF_rel_fun_a_b_a_b @ R1 @ R3 ) ) @ comp_a_a_a @ comp_b_b_b ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_91_fun_Omap__transfer,axiom,
% 3.04/1.62 ! [Rb: b > b > $o,Sd: ( d > d ) > ( d > d ) > $o] :
% 3.04/1.62 ( bNF_re742509149_b_d_d @ ( bNF_re1844863849_d_d_d @ Rb @ Sd )
% 3.04/1.62 @ ( bNF_re1412708073_b_d_d
% 3.04/1.62 @ ( bNF_rel_fun_b_b_b_b
% 3.04/1.62 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 3.04/1.62 @ Rb )
% 3.04/1.62 @ ( bNF_re1844863849_d_d_d
% 3.04/1.62 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 3.04/1.62 @ Sd ) )
% 3.04/1.62 @ comp_b_d_d_b
% 3.04/1.62 @ comp_b_d_d_b ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_92_fun_Omap__transfer,axiom,
% 3.04/1.62 ! [Rb: a > a > $o,Sd: ( c > c ) > ( c > c ) > $o] :
% 3.04/1.62 ( bNF_re880840541_a_c_c @ ( bNF_re1143700905_c_c_c @ Rb @ Sd )
% 3.04/1.62 @ ( bNF_re1691224489_a_c_c
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Rb )
% 3.04/1.62 @ ( bNF_re1143700905_c_c_c
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sd ) )
% 3.04/1.62 @ comp_a_c_c_a
% 3.04/1.62 @ comp_a_c_c_a ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_93_fun_Omap__transfer,axiom,
% 3.04/1.62 ! [Rb: a > b > $o,Sd: ( c > c ) > ( d > d ) > $o] :
% 3.04/1.62 ( bNF_re1160226589_b_d_d @ ( bNF_re802603882_c_d_d @ Rb @ Sd )
% 3.04/1.62 @ ( bNF_re1661760168_b_d_d
% 3.04/1.62 @ ( bNF_rel_fun_b_b_a_b
% 3.04/1.62 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 3.04/1.62 @ Rb )
% 3.04/1.62 @ ( bNF_re417075625_c_d_d
% 3.04/1.62 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 3.04/1.62 @ Sd ) )
% 3.04/1.62 @ comp_a_c_c_b
% 3.04/1.62 @ comp_b_d_d_b ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_94_fun_Omap__transfer,axiom,
% 3.04/1.62 ! [Rb: a > b > $o,Sd: ( c > c ) > ( d > d ) > $o] :
% 3.04/1.62 ( bNF_re631104669_a_d_d @ ( bNF_re802603882_c_d_d @ Rb @ Sd )
% 3.04/1.62 @ ( bNF_re1787520874_a_d_d
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_b
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Rb )
% 3.04/1.62 @ ( bNF_re1979731817_c_d_d
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sd ) )
% 3.04/1.62 @ comp_a_c_c_a
% 3.04/1.62 @ comp_b_d_d_a ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_95_fun_Omap__transfer,axiom,
% 3.04/1.62 ! [Rb: b > b > $o,Sd: b > b > $o] :
% 3.04/1.62 ( bNF_re1222471293_b_b_b @ ( bNF_rel_fun_b_b_b_b @ Rb @ Sd )
% 3.04/1.62 @ ( bNF_re2075418869_b_b_b
% 3.04/1.62 @ ( bNF_rel_fun_b_b_b_b
% 3.04/1.62 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 3.04/1.62 @ Rb )
% 3.04/1.62 @ ( bNF_rel_fun_b_b_b_b
% 3.04/1.62 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 3.04/1.62 @ Sd ) )
% 3.04/1.62 @ comp_b_b_b
% 3.04/1.62 @ comp_b_b_b ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_96_fun_Omap__transfer,axiom,
% 3.04/1.62 ! [Rb: a > b > $o,Sd: a > a > $o] :
% 3.04/1.62 ( bNF_re539937469_b_a_a @ ( bNF_rel_fun_a_b_a_a @ Rb @ Sd )
% 3.04/1.62 @ ( bNF_re857382262_a_a_a
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_b
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Rb )
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sd ) )
% 3.04/1.62 @ comp_a_a_a
% 3.04/1.62 @ comp_b_a_a ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_97_fun_Omap__transfer,axiom,
% 3.04/1.62 ! [Rb: a > b > $o,Sd: a > b > $o] :
% 3.04/1.62 ( bNF_re774352699_b_b_b @ ( bNF_rel_fun_a_b_a_b @ Rb @ Sd )
% 3.04/1.62 @ ( bNF_re668686835_a_b_b
% 3.04/1.62 @ ( bNF_rel_fun_b_b_a_b
% 3.04/1.62 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 3.04/1.62 @ Rb )
% 3.04/1.62 @ ( bNF_rel_fun_b_b_a_b
% 3.04/1.62 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 3.04/1.62 @ Sd ) )
% 3.04/1.62 @ comp_a_a_b
% 3.04/1.62 @ comp_b_b_b ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_98_fun_Omap__transfer,axiom,
% 3.04/1.62 ! [Rb: a > b > $o,Sd: a > b > $o] :
% 3.04/1.62 ( bNF_re796114495_b_a_b @ ( bNF_rel_fun_a_b_a_b @ Rb @ Sd )
% 3.04/1.62 @ ( bNF_re865643767_a_a_b
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_b
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Rb )
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_b
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sd ) )
% 3.04/1.62 @ comp_a_a_a
% 3.04/1.62 @ comp_b_b_a ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_99_fun_Omap__transfer,axiom,
% 3.04/1.62 ! [Rb: a > a > $o,Sd: a > b > $o] :
% 3.04/1.62 ( bNF_re1514436479_a_a_b @ ( bNF_rel_fun_a_a_a_b @ Rb @ Sd )
% 3.04/1.62 @ ( bNF_re1698572662_a_a_b
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Rb )
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_b
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sd ) )
% 3.04/1.62 @ comp_a_a_a
% 3.04/1.62 @ comp_a_b_a ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_100_fun_Omap__transfer,axiom,
% 3.04/1.62 ! [Rb: a > a > $o,Sd: a > a > $o] :
% 3.04/1.62 ( bNF_re1258259453_a_a_a @ ( bNF_rel_fun_a_a_a_a @ Rb @ Sd )
% 3.04/1.62 @ ( bNF_re1690311157_a_a_a
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Rb )
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sd ) )
% 3.04/1.62 @ comp_a_a_a
% 3.04/1.62 @ comp_a_a_a ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_101_comp__transfer,axiom,
% 3.04/1.62 ! [B: c > d > $o,C: c > d > $o,A: c > d > $o] : ( bNF_re764096061_d_d_d @ ( bNF_rel_fun_c_d_c_d @ B @ C ) @ ( bNF_re2078100341_c_d_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) @ ( bNF_rel_fun_c_d_c_d @ A @ C ) ) @ comp_c_c_c @ comp_d_d_d ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_102_comp__transfer,axiom,
% 3.04/1.62 ! [B: b > b > $o,C: ( d > d ) > ( d > d ) > $o,A: b > b > $o] : ( bNF_re742509149_b_d_d @ ( bNF_re1844863849_d_d_d @ B @ C ) @ ( bNF_re1412708073_b_d_d @ ( bNF_rel_fun_b_b_b_b @ A @ B ) @ ( bNF_re1844863849_d_d_d @ A @ C ) ) @ comp_b_d_d_b @ comp_b_d_d_b ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_103_comp__transfer,axiom,
% 3.04/1.62 ! [B: b > a > $o,C: ( d > d ) > ( c > c ) > $o,A: b > a > $o] : ( bNF_re561231771_a_c_c @ ( bNF_re38477224_d_c_c @ B @ C ) @ ( bNF_re1342462312_a_c_c @ ( bNF_rel_fun_b_a_b_a @ A @ B ) @ ( bNF_re38477224_d_c_c @ A @ C ) ) @ comp_b_d_d_b @ comp_a_c_c_a ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_104_comp__transfer,axiom,
% 3.04/1.62 ! [B: a > a > $o,C: ( c > c ) > ( c > c ) > $o,A: a > a > $o] : ( bNF_re880840541_a_c_c @ ( bNF_re1143700905_c_c_c @ B @ C ) @ ( bNF_re1691224489_a_c_c @ ( bNF_rel_fun_a_a_a_a @ A @ B ) @ ( bNF_re1143700905_c_c_c @ A @ C ) ) @ comp_a_c_c_a @ comp_a_c_c_a ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_105_comp__transfer,axiom,
% 3.04/1.62 ! [B: a > b > $o,C: ( c > c ) > ( d > d ) > $o,A: a > b > $o] : ( bNF_re1062117919_b_d_d @ ( bNF_re802603882_c_d_d @ B @ C ) @ ( bNF_re1761470250_b_d_d @ ( bNF_rel_fun_a_b_a_b @ A @ B ) @ ( bNF_re802603882_c_d_d @ A @ C ) ) @ comp_a_c_c_a @ comp_b_d_d_b ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_106_comp__transfer,axiom,
% 3.04/1.62 ! [B: ( c > c ) > ( d > d ) > $o,C: ( c > c ) > ( d > d ) > $o,A: a > b > $o] : ( bNF_re141854397_b_d_d @ ( bNF_re2078100341_c_d_d @ B @ C ) @ ( bNF_re692482399_b_d_d @ ( bNF_re802603882_c_d_d @ A @ B ) @ ( bNF_re802603882_c_d_d @ A @ C ) ) @ comp_c_c_c_c_a @ comp_d_d_d_d_b ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_107_comp__transfer,axiom,
% 3.04/1.62 ! [B: b > b > $o,C: b > b > $o,A: b > b > $o] : ( bNF_re1222471293_b_b_b @ ( bNF_rel_fun_b_b_b_b @ B @ C ) @ ( bNF_re2075418869_b_b_b @ ( bNF_rel_fun_b_b_b_b @ A @ B ) @ ( bNF_rel_fun_b_b_b_b @ A @ C ) ) @ comp_b_b_b @ comp_b_b_b ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_108_comp__transfer,axiom,
% 3.04/1.62 ! [B: b > a > $o,C: b > a > $o,A: b > a > $o] : ( bNF_re1645058365_a_a_a @ ( bNF_rel_fun_b_a_b_a @ B @ C ) @ ( bNF_re310361461_b_a_a @ ( bNF_rel_fun_b_a_b_a @ A @ B ) @ ( bNF_rel_fun_b_a_b_a @ A @ C ) ) @ comp_b_b_b @ comp_a_a_a ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_109_comp__transfer,axiom,
% 3.04/1.62 ! [B: a > b > $o,C: a > a > $o,A: a > a > $o] : ( bNF_re539937469_b_a_a @ ( bNF_rel_fun_a_b_a_a @ B @ C ) @ ( bNF_re857382262_a_a_a @ ( bNF_rel_fun_a_a_a_b @ A @ B ) @ ( bNF_rel_fun_a_a_a_a @ A @ C ) ) @ comp_a_a_a @ comp_b_a_a ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_110_comp__transfer,axiom,
% 3.04/1.62 ! [B: a > b > $o,C: a > b > $o,A: a > b > $o] : ( bNF_re835672381_b_b_b @ ( bNF_rel_fun_a_b_a_b @ B @ C ) @ ( bNF_re1307884917_a_b_b @ ( bNF_rel_fun_a_b_a_b @ A @ B ) @ ( bNF_rel_fun_a_b_a_b @ A @ C ) ) @ comp_a_a_a @ comp_b_b_b ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_111_comp__fun__idem_Ointro,axiom,
% 3.04/1.62 ! [F: a > c > c] :
% 3.04/1.62 ( ( finite746615251te_a_c @ F )
% 3.04/1.62 => ( ( finite19304177ms_a_c @ F )
% 3.04/1.62 => ( finite40241358em_a_c @ F ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_112_comp__fun__idem_Ointro,axiom,
% 3.04/1.62 ! [F: b > d > d] :
% 3.04/1.62 ( ( finite1574384659te_b_d @ F )
% 3.04/1.62 => ( ( finite847073585ms_b_d @ F )
% 3.04/1.62 => ( finite868010766em_b_d @ F ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_113_comp__fun__idem__def,axiom,
% 3.04/1.62 ( finite40241358em_a_c
% 3.04/1.62 = ( ^ [F2: a > c > c] :
% 3.04/1.62 ( ( finite746615251te_a_c @ F2 )
% 3.04/1.62 & ( finite19304177ms_a_c @ F2 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_114_comp__fun__idem__def,axiom,
% 3.04/1.62 ( finite868010766em_b_d
% 3.04/1.62 = ( ^ [F2: b > d > d] :
% 3.04/1.62 ( ( finite1574384659te_b_d @ F2 )
% 3.04/1.62 & ( finite847073585ms_b_d @ F2 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_115_comp__fun__idem_Oaxioms_I2_J,axiom,
% 3.04/1.62 ! [F: b > d > d] :
% 3.04/1.62 ( ( finite868010766em_b_d @ F )
% 3.04/1.62 => ( finite847073585ms_b_d @ F ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_116_comp__fun__idem_Oaxioms_I2_J,axiom,
% 3.04/1.62 ! [F: a > c > c] :
% 3.04/1.62 ( ( finite40241358em_a_c @ F )
% 3.04/1.62 => ( finite19304177ms_a_c @ F ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_117_comp__fun__idem__axioms_Ointro,axiom,
% 3.04/1.62 ! [F: b > d > d] :
% 3.04/1.62 ( ! [X2: b] :
% 3.04/1.62 ( ( comp_d_d_d @ ( F @ X2 ) @ ( F @ X2 ) )
% 3.04/1.62 = ( F @ X2 ) )
% 3.04/1.62 => ( finite847073585ms_b_d @ F ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_118_comp__fun__idem__axioms_Ointro,axiom,
% 3.04/1.62 ! [F: a > c > c] :
% 3.04/1.62 ( ! [X2: a] :
% 3.04/1.62 ( ( comp_c_c_c @ ( F @ X2 ) @ ( F @ X2 ) )
% 3.04/1.62 = ( F @ X2 ) )
% 3.04/1.62 => ( finite19304177ms_a_c @ F ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_119_comp__fun__idem__axioms__def,axiom,
% 3.04/1.62 ( finite847073585ms_b_d
% 3.04/1.62 = ( ^ [F2: b > d > d] :
% 3.04/1.62 ! [X3: b] :
% 3.04/1.62 ( ( comp_d_d_d @ ( F2 @ X3 ) @ ( F2 @ X3 ) )
% 3.04/1.62 = ( F2 @ X3 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_120_comp__fun__idem__axioms__def,axiom,
% 3.04/1.62 ( finite19304177ms_a_c
% 3.04/1.62 = ( ^ [F2: a > c > c] :
% 3.04/1.62 ! [X3: a] :
% 3.04/1.62 ( ( comp_c_c_c @ ( F2 @ X3 ) @ ( F2 @ X3 ) )
% 3.04/1.62 = ( F2 @ X3 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_121_fun_Orel__transfer,axiom,
% 3.04/1.62 ! [Sa: a > b > $o,Sc: a > b > $o] :
% 3.04/1.62 ( bNF_re1071888283_a_b_o
% 3.04/1.62 @ ( bNF_re418251421_o_b_o @ Sa
% 3.04/1.62 @ ( bNF_rel_fun_a_b_o_o @ Sc
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_re1217999849_a_b_o
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_b
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sa )
% 3.04/1.62 @ ( bNF_re1463366826_b_o_o
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_b
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sc )
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 3.04/1.62 @ ( bNF_rel_fun_a_a_b_b
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_122_fun_Orel__transfer,axiom,
% 3.04/1.62 ! [Sa: a > b > $o,Sc: a > a > $o] :
% 3.04/1.62 ( bNF_re1310167325_a_a_o
% 3.04/1.62 @ ( bNF_re1977372894_o_a_o @ Sa
% 3.04/1.62 @ ( bNF_rel_fun_a_a_o_o @ Sc
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_re390230442_a_a_o
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_b
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sa )
% 3.04/1.62 @ ( bNF_re134330537_a_o_o
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sc )
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 3.04/1.62 @ ( bNF_rel_fun_a_a_b_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_123_fun_Orel__transfer,axiom,
% 3.04/1.62 ! [Sa: a > a > $o,Sc: b > b > $o] :
% 3.04/1.62 ( bNF_re2141181021_a_b_o
% 3.04/1.62 @ ( bNF_re250254555_o_b_o @ Sa
% 3.04/1.62 @ ( bNF_rel_fun_b_b_o_o @ Sc
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_re1812319081_a_b_o
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sa )
% 3.04/1.62 @ ( bNF_re1088547499_b_o_o
% 3.04/1.62 @ ( bNF_rel_fun_a_a_b_b
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sc )
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_b
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_b
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_124_fun_Orel__transfer,axiom,
% 3.04/1.62 ! [Sa: a > a > $o,Sc: b > a > $o] :
% 3.04/1.62 ( bNF_re231976415_a_a_o
% 3.04/1.62 @ ( bNF_re1809376028_o_a_o @ Sa
% 3.04/1.62 @ ( bNF_rel_fun_b_a_o_o @ Sc
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_re984549674_a_a_o
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sa )
% 3.04/1.62 @ ( bNF_re1906994858_a_o_o
% 3.04/1.62 @ ( bNF_rel_fun_a_a_b_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sc )
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_b
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_125_fun_Orel__transfer,axiom,
% 3.04/1.62 ! [Sa: a > a > $o,Sc: a > b > $o] :
% 3.04/1.62 ( bNF_re1165460699_a_b_o
% 3.04/1.62 @ ( bNF_re131001756_o_b_o @ Sa
% 3.04/1.62 @ ( bNF_rel_fun_a_b_o_o @ Sc
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_re581117672_a_b_o
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sa )
% 3.04/1.62 @ ( bNF_re1463366826_b_o_o
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_b
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sc )
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_b
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_126_fun_Orel__transfer,axiom,
% 3.04/1.62 ! [Sa: a > a > $o,Sc: a > a > $o] :
% 3.04/1.62 ( bNF_re1403739741_a_a_o
% 3.04/1.62 @ ( bNF_re1690123229_o_a_o @ Sa
% 3.04/1.62 @ ( bNF_rel_fun_a_a_o_o @ Sc
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_re1900831913_a_a_o
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sa )
% 3.04/1.62 @ ( bNF_re134330537_a_o_o
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sc )
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_127_fun_Orel__transfer,axiom,
% 3.04/1.62 ! [Sa: ( c > c ) > a > $o,Sc: ( d > d ) > b > $o] :
% 3.04/1.62 ( bNF_re1133483099_a_b_o
% 3.04/1.62 @ ( bNF_re1895239662_o_b_o @ Sa
% 3.04/1.62 @ ( bNF_re199323387_b_o_o @ Sc
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_re332737826_a_b_o
% 3.04/1.62 @ ( bNF_re950444090_c_c_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sa )
% 3.04/1.62 @ ( bNF_re802276445_b_o_o
% 3.04/1.62 @ ( bNF_re2038021755_d_d_b
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sc )
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_re1979731817_c_d_d
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_b
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_128_fun_Orel__transfer,axiom,
% 3.04/1.62 ! [Sa: ( c > c ) > a > $o,Sc: ( d > d ) > a > $o] :
% 3.04/1.62 ( bNF_re145798749_a_a_o
% 3.04/1.62 @ ( bNF_re1306877487_o_a_o @ Sa
% 3.04/1.62 @ ( bNF_re991543930_a_o_o @ Sc
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_re1652452067_a_a_o
% 3.04/1.62 @ ( bNF_re950444090_c_c_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sa )
% 3.04/1.62 @ ( bNF_re1620723804_a_o_o
% 3.04/1.62 @ ( bNF_re2038021754_d_d_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sc )
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_re1979731817_c_d_d
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_129_fun_Orel__transfer,axiom,
% 3.04/1.62 ! [Sa: ( c > c ) > a > $o,Sc: ( c > c ) > b > $o] :
% 3.04/1.62 ( bNF_re708047067_a_b_o
% 3.04/1.62 @ ( bNF_re2038641070_o_b_o @ Sa
% 3.04/1.62 @ ( bNF_re90976443_b_o_o @ Sc
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_re364411746_a_b_o
% 3.04/1.62 @ ( bNF_re950444090_c_c_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sa )
% 3.04/1.62 @ ( bNF_re1256092317_b_o_o
% 3.04/1.62 @ ( bNF_re950444091_c_c_b
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sc )
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_re1143700905_c_c_c
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_b
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_130_fun_Orel__transfer,axiom,
% 3.04/1.62 ! [Sa: ( c > c ) > a > $o,Sc: ( c > c ) > a > $o] :
% 3.04/1.62 ( bNF_re1867846365_a_a_o
% 3.04/1.62 @ ( bNF_re1450278895_o_a_o @ Sa
% 3.04/1.62 @ ( bNF_re883196986_a_o_o @ Sc
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_re1684125987_a_a_o
% 3.04/1.62 @ ( bNF_re950444090_c_c_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sa )
% 3.04/1.62 @ ( bNF_re2074539676_a_o_o
% 3.04/1.62 @ ( bNF_re950444090_c_c_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Sc )
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_re1143700905_c_c_c
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 3.04/1.62 @ ( bNF_rel_fun_a_a_a_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_131_fun_Orel__refl,axiom,
% 3.04/1.62 ! [Ra: ( c > c ) > ( c > c ) > $o,X: a > c > c] :
% 3.04/1.62 ( ! [X2: c > c] : ( Ra @ X2 @ X2 )
% 3.04/1.62 => ( bNF_re1143700905_c_c_c
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Ra
% 3.04/1.62 @ X
% 3.04/1.62 @ X ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_132_fun_Orel__refl,axiom,
% 3.04/1.62 ! [Ra: a > a > $o,X: a > a] :
% 3.04/1.62 ( ! [X2: a] : ( Ra @ X2 @ X2 )
% 3.04/1.62 => ( bNF_rel_fun_a_a_a_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ Ra
% 3.04/1.62 @ X
% 3.04/1.62 @ X ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_133_fun_Orel__eq,axiom,
% 3.04/1.62 ( ( bNF_re1143700905_c_c_c
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ ^ [Y4: c > c,Z2: c > c] : ( Y4 = Z2 ) )
% 3.04/1.62 = ( ^ [Y4: a > c > c,Z2: a > c > c] : ( Y4 = Z2 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_134_fun_Orel__eq,axiom,
% 3.04/1.62 ( ( bNF_rel_fun_a_a_a_a
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.62 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 ) )
% 3.04/1.62 = ( ^ [Y4: a > a,Z2: a > a] : ( Y4 = Z2 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_135_rel__fun__mono_H,axiom,
% 3.04/1.62 ! [Y5: a > b > $o,X4: a > b > $o,A: a > b > $o,B: a > b > $o,F: a > a,G: b > b] :
% 3.04/1.62 ( ! [X2: a,Y2: b] :
% 3.04/1.62 ( ( Y5 @ X2 @ Y2 )
% 3.04/1.62 => ( X4 @ X2 @ Y2 ) )
% 3.04/1.62 => ( ! [X2: a,Y2: b] :
% 3.04/1.62 ( ( A @ X2 @ Y2 )
% 3.04/1.62 => ( B @ X2 @ Y2 ) )
% 3.04/1.62 => ( ( bNF_rel_fun_a_b_a_b @ X4 @ A @ F @ G )
% 3.04/1.62 => ( bNF_rel_fun_a_b_a_b @ Y5 @ B @ F @ G ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_136_rel__fun__mono_H,axiom,
% 3.04/1.62 ! [Y5: a > a > $o,X4: a > a > $o,A: ( c > c ) > ( d > d ) > $o,B: ( c > c ) > ( d > d ) > $o,F: a > c > c,G: a > d > d] :
% 3.04/1.62 ( ! [X2: a,Y2: a] :
% 3.04/1.62 ( ( Y5 @ X2 @ Y2 )
% 3.04/1.62 => ( X4 @ X2 @ Y2 ) )
% 3.04/1.62 => ( ! [X2: c > c,Y2: d > d] :
% 3.04/1.62 ( ( A @ X2 @ Y2 )
% 3.04/1.62 => ( B @ X2 @ Y2 ) )
% 3.04/1.62 => ( ( bNF_re1979731817_c_d_d @ X4 @ A @ F @ G )
% 3.04/1.62 => ( bNF_re1979731817_c_d_d @ Y5 @ B @ F @ G ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_137_rel__fun__mono_H,axiom,
% 3.04/1.62 ! [Y5: a > a > $o,X4: a > a > $o,A: ( c > c ) > ( c > c ) > $o,B: ( c > c ) > ( c > c ) > $o,F: a > c > c,G: a > c > c] :
% 3.04/1.62 ( ! [X2: a,Y2: a] :
% 3.04/1.62 ( ( Y5 @ X2 @ Y2 )
% 3.04/1.62 => ( X4 @ X2 @ Y2 ) )
% 3.04/1.62 => ( ! [X2: c > c,Y2: c > c] :
% 3.04/1.62 ( ( A @ X2 @ Y2 )
% 3.04/1.62 => ( B @ X2 @ Y2 ) )
% 3.04/1.62 => ( ( bNF_re1143700905_c_c_c @ X4 @ A @ F @ G )
% 3.04/1.62 => ( bNF_re1143700905_c_c_c @ Y5 @ B @ F @ G ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_138_rel__fun__mono_H,axiom,
% 3.04/1.62 ! [Y5: a > a > $o,X4: a > a > $o,A: a > b > $o,B: a > b > $o,F: a > a,G: a > b] :
% 3.04/1.62 ( ! [X2: a,Y2: a] :
% 3.04/1.62 ( ( Y5 @ X2 @ Y2 )
% 3.04/1.62 => ( X4 @ X2 @ Y2 ) )
% 3.04/1.62 => ( ! [X2: a,Y2: b] :
% 3.04/1.62 ( ( A @ X2 @ Y2 )
% 3.04/1.62 => ( B @ X2 @ Y2 ) )
% 3.04/1.62 => ( ( bNF_rel_fun_a_a_a_b @ X4 @ A @ F @ G )
% 3.04/1.62 => ( bNF_rel_fun_a_a_a_b @ Y5 @ B @ F @ G ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_139_rel__fun__mono_H,axiom,
% 3.04/1.62 ! [Y5: a > a > $o,X4: a > a > $o,A: a > a > $o,B: a > a > $o,F: a > a,G: a > a] :
% 3.04/1.62 ( ! [X2: a,Y2: a] :
% 3.04/1.62 ( ( Y5 @ X2 @ Y2 )
% 3.04/1.62 => ( X4 @ X2 @ Y2 ) )
% 3.04/1.62 => ( ! [X2: a,Y2: a] :
% 3.04/1.62 ( ( A @ X2 @ Y2 )
% 3.04/1.62 => ( B @ X2 @ Y2 ) )
% 3.04/1.62 => ( ( bNF_rel_fun_a_a_a_a @ X4 @ A @ F @ G )
% 3.04/1.62 => ( bNF_rel_fun_a_a_a_a @ Y5 @ B @ F @ G ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_140_rel__fun__mono_H,axiom,
% 3.04/1.62 ! [Y5: a > b > $o,X4: a > b > $o,A: ( c > c ) > ( d > d ) > $o,B: ( c > c ) > ( d > d ) > $o,F: a > c > c,G: b > d > d] :
% 3.04/1.62 ( ! [X2: a,Y2: b] :
% 3.04/1.62 ( ( Y5 @ X2 @ Y2 )
% 3.04/1.62 => ( X4 @ X2 @ Y2 ) )
% 3.04/1.62 => ( ! [X2: c > c,Y2: d > d] :
% 3.04/1.62 ( ( A @ X2 @ Y2 )
% 3.04/1.62 => ( B @ X2 @ Y2 ) )
% 3.04/1.62 => ( ( bNF_re802603882_c_d_d @ X4 @ A @ F @ G )
% 3.04/1.62 => ( bNF_re802603882_c_d_d @ Y5 @ B @ F @ G ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_141_rel__fun__mono_H,axiom,
% 3.04/1.62 ! [Y5: c > d > $o,X4: c > d > $o,A: c > d > $o,B: c > d > $o,F: c > c,G: d > d] :
% 3.04/1.62 ( ! [X2: c,Y2: d] :
% 3.04/1.62 ( ( Y5 @ X2 @ Y2 )
% 3.04/1.62 => ( X4 @ X2 @ Y2 ) )
% 3.04/1.62 => ( ! [X2: c,Y2: d] :
% 3.04/1.62 ( ( A @ X2 @ Y2 )
% 3.04/1.62 => ( B @ X2 @ Y2 ) )
% 3.04/1.62 => ( ( bNF_rel_fun_c_d_c_d @ X4 @ A @ F @ G )
% 3.04/1.62 => ( bNF_rel_fun_c_d_c_d @ Y5 @ B @ F @ G ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_142_rel__fun__mono,axiom,
% 3.04/1.62 ! [X4: a > b > $o,A: a > b > $o,F: a > a,G: b > b,Y5: a > b > $o,B: a > b > $o] :
% 3.04/1.62 ( ( bNF_rel_fun_a_b_a_b @ X4 @ A @ F @ G )
% 3.04/1.62 => ( ! [X2: a,Y2: b] :
% 3.04/1.62 ( ( Y5 @ X2 @ Y2 )
% 3.04/1.62 => ( X4 @ X2 @ Y2 ) )
% 3.04/1.62 => ( ! [X2: a,Y2: b] :
% 3.04/1.62 ( ( A @ X2 @ Y2 )
% 3.04/1.62 => ( B @ X2 @ Y2 ) )
% 3.04/1.62 => ( bNF_rel_fun_a_b_a_b @ Y5 @ B @ F @ G ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_143_rel__fun__mono,axiom,
% 3.04/1.62 ! [X4: a > a > $o,A: ( c > c ) > ( d > d ) > $o,F: a > c > c,G: a > d > d,Y5: a > a > $o,B: ( c > c ) > ( d > d ) > $o] :
% 3.04/1.62 ( ( bNF_re1979731817_c_d_d @ X4 @ A @ F @ G )
% 3.04/1.62 => ( ! [X2: a,Y2: a] :
% 3.04/1.62 ( ( Y5 @ X2 @ Y2 )
% 3.04/1.62 => ( X4 @ X2 @ Y2 ) )
% 3.04/1.62 => ( ! [X2: c > c,Y2: d > d] :
% 3.04/1.62 ( ( A @ X2 @ Y2 )
% 3.04/1.62 => ( B @ X2 @ Y2 ) )
% 3.04/1.62 => ( bNF_re1979731817_c_d_d @ Y5 @ B @ F @ G ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_144_rel__fun__mono,axiom,
% 3.04/1.62 ! [X4: a > a > $o,A: ( c > c ) > ( c > c ) > $o,F: a > c > c,G: a > c > c,Y5: a > a > $o,B: ( c > c ) > ( c > c ) > $o] :
% 3.04/1.62 ( ( bNF_re1143700905_c_c_c @ X4 @ A @ F @ G )
% 3.04/1.62 => ( ! [X2: a,Y2: a] :
% 3.04/1.62 ( ( Y5 @ X2 @ Y2 )
% 3.04/1.62 => ( X4 @ X2 @ Y2 ) )
% 3.04/1.62 => ( ! [X2: c > c,Y2: c > c] :
% 3.04/1.62 ( ( A @ X2 @ Y2 )
% 3.04/1.62 => ( B @ X2 @ Y2 ) )
% 3.04/1.62 => ( bNF_re1143700905_c_c_c @ Y5 @ B @ F @ G ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_145_rel__fun__mono,axiom,
% 3.04/1.62 ! [X4: a > a > $o,A: a > b > $o,F: a > a,G: a > b,Y5: a > a > $o,B: a > b > $o] :
% 3.04/1.62 ( ( bNF_rel_fun_a_a_a_b @ X4 @ A @ F @ G )
% 3.04/1.62 => ( ! [X2: a,Y2: a] :
% 3.04/1.62 ( ( Y5 @ X2 @ Y2 )
% 3.04/1.62 => ( X4 @ X2 @ Y2 ) )
% 3.04/1.62 => ( ! [X2: a,Y2: b] :
% 3.04/1.62 ( ( A @ X2 @ Y2 )
% 3.04/1.62 => ( B @ X2 @ Y2 ) )
% 3.04/1.62 => ( bNF_rel_fun_a_a_a_b @ Y5 @ B @ F @ G ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_146_rel__fun__mono,axiom,
% 3.04/1.62 ! [X4: a > a > $o,A: a > a > $o,F: a > a,G: a > a,Y5: a > a > $o,B: a > a > $o] :
% 3.04/1.62 ( ( bNF_rel_fun_a_a_a_a @ X4 @ A @ F @ G )
% 3.04/1.62 => ( ! [X2: a,Y2: a] :
% 3.04/1.62 ( ( Y5 @ X2 @ Y2 )
% 3.04/1.62 => ( X4 @ X2 @ Y2 ) )
% 3.04/1.62 => ( ! [X2: a,Y2: a] :
% 3.04/1.62 ( ( A @ X2 @ Y2 )
% 3.04/1.62 => ( B @ X2 @ Y2 ) )
% 3.04/1.62 => ( bNF_rel_fun_a_a_a_a @ Y5 @ B @ F @ G ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_147_rel__fun__mono,axiom,
% 3.04/1.62 ! [X4: a > b > $o,A: ( c > c ) > ( d > d ) > $o,F: a > c > c,G: b > d > d,Y5: a > b > $o,B: ( c > c ) > ( d > d ) > $o] :
% 3.04/1.62 ( ( bNF_re802603882_c_d_d @ X4 @ A @ F @ G )
% 3.04/1.62 => ( ! [X2: a,Y2: b] :
% 3.04/1.62 ( ( Y5 @ X2 @ Y2 )
% 3.04/1.62 => ( X4 @ X2 @ Y2 ) )
% 3.04/1.62 => ( ! [X2: c > c,Y2: d > d] :
% 3.04/1.62 ( ( A @ X2 @ Y2 )
% 3.04/1.62 => ( B @ X2 @ Y2 ) )
% 3.04/1.62 => ( bNF_re802603882_c_d_d @ Y5 @ B @ F @ G ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_148_rel__fun__mono,axiom,
% 3.04/1.62 ! [X4: c > d > $o,A: c > d > $o,F: c > c,G: d > d,Y5: c > d > $o,B: c > d > $o] :
% 3.04/1.62 ( ( bNF_rel_fun_c_d_c_d @ X4 @ A @ F @ G )
% 3.04/1.62 => ( ! [X2: c,Y2: d] :
% 3.04/1.62 ( ( Y5 @ X2 @ Y2 )
% 3.04/1.62 => ( X4 @ X2 @ Y2 ) )
% 3.04/1.62 => ( ! [X2: c,Y2: d] :
% 3.04/1.62 ( ( A @ X2 @ Y2 )
% 3.04/1.62 => ( B @ X2 @ Y2 ) )
% 3.04/1.62 => ( bNF_rel_fun_c_d_c_d @ Y5 @ B @ F @ G ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_149_let__rsp,axiom,
% 3.04/1.62 ! [R1: a > b > $o,R2: a > b > $o] :
% 3.04/1.62 ( bNF_re1730737055_b_b_b @ R1 @ ( bNF_re2087760490_b_a_b @ ( bNF_rel_fun_a_b_a_b @ R1 @ R2 ) @ R2 )
% 3.04/1.62 @ ^ [S3: a,F2: a > a] : ( F2 @ S3 )
% 3.04/1.62 @ ^ [S3: b,F2: b > b] : ( F2 @ S3 ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_150_let__rsp,axiom,
% 3.04/1.62 ! [R1: a > a > $o,R2: ( c > c ) > ( d > d ) > $o] :
% 3.04/1.62 ( bNF_re1391160029_d_d_d @ R1 @ ( bNF_re1955249705_c_d_d @ ( bNF_re1979731817_c_d_d @ R1 @ R2 ) @ R2 )
% 3.04/1.62 @ ^ [S3: a,F2: a > c > c] : ( F2 @ S3 )
% 3.04/1.62 @ ^ [S3: a,F2: a > d > d] : ( F2 @ S3 ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_151_let__rsp,axiom,
% 3.04/1.62 ! [R1: a > a > $o,R2: ( c > c ) > ( c > c ) > $o] :
% 3.04/1.62 ( bNF_re1482032989_c_c_c @ R1 @ ( bNF_re27458217_c_c_c @ ( bNF_re1143700905_c_c_c @ R1 @ R2 ) @ R2 )
% 3.04/1.62 @ ^ [S3: a,F2: a > c > c] : ( F2 @ S3 )
% 3.04/1.62 @ ^ [S3: a,F2: a > c > c] : ( F2 @ S3 ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_152_let__rsp,axiom,
% 3.04/1.62 ! [R1: a > a > $o,R2: a > b > $o] :
% 3.04/1.62 ( bNF_re1093913501_a_b_b @ R1 @ ( bNF_re473406379_b_a_b @ ( bNF_rel_fun_a_a_a_b @ R1 @ R2 ) @ R2 )
% 3.04/1.62 @ ^ [S3: a,F2: a > a] : ( F2 @ S3 )
% 3.04/1.62 @ ^ [S3: a,F2: a > b] : ( F2 @ S3 ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_153_let__rsp,axiom,
% 3.04/1.62 ! [R1: a > a > $o,R2: a > a > $o] :
% 3.04/1.62 ( bNF_re865741149_a_a_a @ R1 @ ( bNF_re571457705_a_a_a @ ( bNF_rel_fun_a_a_a_a @ R1 @ R2 ) @ R2 )
% 3.04/1.62 @ ^ [S3: a,F2: a > a] : ( F2 @ S3 )
% 3.04/1.62 @ ^ [S3: a,F2: a > a] : ( F2 @ S3 ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_154_let__rsp,axiom,
% 3.04/1.62 ! [R1: a > b > $o,R2: ( c > c ) > ( d > d ) > $o] :
% 3.04/1.62 ( bNF_re1327926367_d_d_d @ R1 @ ( bNF_re84044842_c_d_d @ ( bNF_re802603882_c_d_d @ R1 @ R2 ) @ R2 )
% 3.04/1.62 @ ^ [S3: a,F2: a > c > c] : ( F2 @ S3 )
% 3.04/1.62 @ ^ [S3: b,F2: b > d > d] : ( F2 @ S3 ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_155_let__rsp,axiom,
% 3.04/1.62 ! [R1: c > d > $o,R2: c > d > $o] :
% 3.04/1.62 ( bNF_re1313098655_d_d_d @ R1 @ ( bNF_re1303182826_d_c_d @ ( bNF_rel_fun_c_d_c_d @ R1 @ R2 ) @ R2 )
% 3.04/1.62 @ ^ [S3: c,F2: c > c] : ( F2 @ S3 )
% 3.04/1.62 @ ^ [S3: d,F2: d > d] : ( F2 @ S3 ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_156_rel__funD,axiom,
% 3.04/1.62 ! [A: a > b > $o,B: a > b > $o,F: a > a,G: b > b,X: a,Y: b] :
% 3.04/1.62 ( ( bNF_rel_fun_a_b_a_b @ A @ B @ F @ G )
% 3.04/1.62 => ( ( A @ X @ Y )
% 3.04/1.62 => ( B @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_157_rel__funD,axiom,
% 3.04/1.62 ! [A: a > a > $o,B: ( c > c ) > ( d > d ) > $o,F: a > c > c,G: a > d > d,X: a,Y: a] :
% 3.04/1.62 ( ( bNF_re1979731817_c_d_d @ A @ B @ F @ G )
% 3.04/1.62 => ( ( A @ X @ Y )
% 3.04/1.62 => ( B @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_158_rel__funD,axiom,
% 3.04/1.62 ! [A: a > a > $o,B: ( c > c ) > ( c > c ) > $o,F: a > c > c,G: a > c > c,X: a,Y: a] :
% 3.04/1.62 ( ( bNF_re1143700905_c_c_c @ A @ B @ F @ G )
% 3.04/1.62 => ( ( A @ X @ Y )
% 3.04/1.62 => ( B @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_159_rel__funD,axiom,
% 3.04/1.62 ! [A: a > a > $o,B: a > b > $o,F: a > a,G: a > b,X: a,Y: a] :
% 3.04/1.62 ( ( bNF_rel_fun_a_a_a_b @ A @ B @ F @ G )
% 3.04/1.62 => ( ( A @ X @ Y )
% 3.04/1.62 => ( B @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_160_rel__funD,axiom,
% 3.04/1.62 ! [A: a > a > $o,B: a > a > $o,F: a > a,G: a > a,X: a,Y: a] :
% 3.04/1.62 ( ( bNF_rel_fun_a_a_a_a @ A @ B @ F @ G )
% 3.04/1.62 => ( ( A @ X @ Y )
% 3.04/1.62 => ( B @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_161_rel__funD,axiom,
% 3.04/1.62 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o,F: a > c > c,G: b > d > d,X: a,Y: b] :
% 3.04/1.62 ( ( bNF_re802603882_c_d_d @ A @ B @ F @ G )
% 3.04/1.62 => ( ( A @ X @ Y )
% 3.04/1.62 => ( B @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_162_rel__funD,axiom,
% 3.04/1.62 ! [A: c > d > $o,B: c > d > $o,F: c > c,G: d > d,X: c,Y: d] :
% 3.04/1.62 ( ( bNF_rel_fun_c_d_c_d @ A @ B @ F @ G )
% 3.04/1.62 => ( ( A @ X @ Y )
% 3.04/1.62 => ( B @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_163_rewriteR__comp__comp2,axiom,
% 3.04/1.62 ! [G: b > b,H: b > b,R12: b > b,R22: b > b,F: b > d > d,L: b > d > d] :
% 3.04/1.62 ( ( ( comp_b_b_b @ G @ H )
% 3.04/1.62 = ( comp_b_b_b @ R12 @ R22 ) )
% 3.04/1.62 => ( ( ( comp_b_d_d_b @ F @ R12 )
% 3.04/1.62 = L )
% 3.04/1.62 => ( ( comp_b_d_d_b @ ( comp_b_d_d_b @ F @ G ) @ H )
% 3.04/1.62 = ( comp_b_d_d_b @ L @ R22 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_164_rewriteR__comp__comp2,axiom,
% 3.04/1.62 ! [G: a > a,H: a > a,R12: a > a,R22: a > a,F: a > c > c,L: a > c > c] :
% 3.04/1.62 ( ( ( comp_a_a_a @ G @ H )
% 3.04/1.62 = ( comp_a_a_a @ R12 @ R22 ) )
% 3.04/1.62 => ( ( ( comp_a_c_c_a @ F @ R12 )
% 3.04/1.62 = L )
% 3.04/1.62 => ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ G ) @ H )
% 3.04/1.62 = ( comp_a_c_c_a @ L @ R22 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_165_rewriteR__comp__comp2,axiom,
% 3.04/1.62 ! [G: b > d > d,H: b > b,R12: b > d > d,R22: b > b,F: ( d > d ) > d > d,L: b > d > d] :
% 3.04/1.62 ( ( ( comp_b_d_d_b @ G @ H )
% 3.04/1.62 = ( comp_b_d_d_b @ R12 @ R22 ) )
% 3.04/1.62 => ( ( ( comp_d_d_d_d_b @ F @ R12 )
% 3.04/1.62 = L )
% 3.04/1.62 => ( ( comp_b_d_d_b @ ( comp_d_d_d_d_b @ F @ G ) @ H )
% 3.04/1.62 = ( comp_b_d_d_b @ L @ R22 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_166_rewriteR__comp__comp2,axiom,
% 3.04/1.62 ! [G: a > c > c,H: a > a,R12: a > c > c,R22: a > a,F: ( c > c ) > c > c,L: a > c > c] :
% 3.04/1.62 ( ( ( comp_a_c_c_a @ G @ H )
% 3.04/1.62 = ( comp_a_c_c_a @ R12 @ R22 ) )
% 3.04/1.62 => ( ( ( comp_c_c_c_c_a @ F @ R12 )
% 3.04/1.62 = L )
% 3.04/1.62 => ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ F @ G ) @ H )
% 3.04/1.62 = ( comp_a_c_c_a @ L @ R22 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_167_rewriteR__comp__comp2,axiom,
% 3.04/1.62 ! [G: b > b,H: b > b,R12: b > b,R22: b > b,F: b > b,L: b > b] :
% 3.04/1.62 ( ( ( comp_b_b_b @ G @ H )
% 3.04/1.62 = ( comp_b_b_b @ R12 @ R22 ) )
% 3.04/1.62 => ( ( ( comp_b_b_b @ F @ R12 )
% 3.04/1.62 = L )
% 3.04/1.62 => ( ( comp_b_b_b @ ( comp_b_b_b @ F @ G ) @ H )
% 3.04/1.62 = ( comp_b_b_b @ L @ R22 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_168_rewriteR__comp__comp2,axiom,
% 3.04/1.62 ! [G: a > a,H: a > a,R12: a > a,R22: a > a,F: a > a,L: a > a] :
% 3.04/1.62 ( ( ( comp_a_a_a @ G @ H )
% 3.04/1.62 = ( comp_a_a_a @ R12 @ R22 ) )
% 3.04/1.62 => ( ( ( comp_a_a_a @ F @ R12 )
% 3.04/1.62 = L )
% 3.04/1.62 => ( ( comp_a_a_a @ ( comp_a_a_a @ F @ G ) @ H )
% 3.04/1.62 = ( comp_a_a_a @ L @ R22 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_169_rewriteR__comp__comp2,axiom,
% 3.04/1.62 ! [G: b > a,H: b > b,R12: a > a,R22: b > a,F: a > c > c,L: a > c > c] :
% 3.04/1.62 ( ( ( comp_b_a_b @ G @ H )
% 3.04/1.62 = ( comp_a_a_b @ R12 @ R22 ) )
% 3.04/1.62 => ( ( ( comp_a_c_c_a @ F @ R12 )
% 3.04/1.62 = L )
% 3.04/1.62 => ( ( comp_b_c_c_b @ ( comp_a_c_c_b @ F @ G ) @ H )
% 3.04/1.62 = ( comp_a_c_c_b @ L @ R22 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_170_rewriteR__comp__comp2,axiom,
% 3.04/1.62 ! [G: a > a,H: b > a,R12: a > a,R22: b > a,F: a > c > c,L: a > c > c] :
% 3.04/1.62 ( ( ( comp_a_a_b @ G @ H )
% 3.04/1.62 = ( comp_a_a_b @ R12 @ R22 ) )
% 3.04/1.62 => ( ( ( comp_a_c_c_a @ F @ R12 )
% 3.04/1.62 = L )
% 3.04/1.62 => ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ F @ G ) @ H )
% 3.04/1.62 = ( comp_a_c_c_b @ L @ R22 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_171_rewriteR__comp__comp2,axiom,
% 3.04/1.62 ! [G: a > a,H: b > a,R12: b > a,R22: b > b,F: a > c > c,L: b > c > c] :
% 3.04/1.62 ( ( ( comp_a_a_b @ G @ H )
% 3.04/1.62 = ( comp_b_a_b @ R12 @ R22 ) )
% 3.04/1.62 => ( ( ( comp_a_c_c_b @ F @ R12 )
% 3.04/1.62 = L )
% 3.04/1.62 => ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ F @ G ) @ H )
% 3.04/1.62 = ( comp_b_c_c_b @ L @ R22 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_172_rewriteR__comp__comp2,axiom,
% 3.04/1.62 ! [G: a > b,H: b > a,R12: b > b,R22: b > b,F: b > c > c,L: b > c > c] :
% 3.04/1.62 ( ( ( comp_a_b_b @ G @ H )
% 3.04/1.62 = ( comp_b_b_b @ R12 @ R22 ) )
% 3.04/1.62 => ( ( ( comp_b_c_c_b @ F @ R12 )
% 3.04/1.62 = L )
% 3.04/1.62 => ( ( comp_a_c_c_b @ ( comp_b_c_c_a @ F @ G ) @ H )
% 3.04/1.62 = ( comp_b_c_c_b @ L @ R22 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_173_rewriteL__comp__comp2,axiom,
% 3.04/1.62 ! [F: b > d > d,G: b > b,L1: b > d > d,L2: b > b,H: b > b,R4: b > b] :
% 3.04/1.62 ( ( ( comp_b_d_d_b @ F @ G )
% 3.04/1.62 = ( comp_b_d_d_b @ L1 @ L2 ) )
% 3.04/1.62 => ( ( ( comp_b_b_b @ L2 @ H )
% 3.04/1.62 = R4 )
% 3.04/1.62 => ( ( comp_b_d_d_b @ F @ ( comp_b_b_b @ G @ H ) )
% 3.04/1.62 = ( comp_b_d_d_b @ L1 @ R4 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_174_rewriteL__comp__comp2,axiom,
% 3.04/1.62 ! [F: a > c > c,G: a > a,L1: a > c > c,L2: a > a,H: a > a,R4: a > a] :
% 3.04/1.62 ( ( ( comp_a_c_c_a @ F @ G )
% 3.04/1.62 = ( comp_a_c_c_a @ L1 @ L2 ) )
% 3.04/1.62 => ( ( ( comp_a_a_a @ L2 @ H )
% 3.04/1.62 = R4 )
% 3.04/1.62 => ( ( comp_a_c_c_a @ F @ ( comp_a_a_a @ G @ H ) )
% 3.04/1.62 = ( comp_a_c_c_a @ L1 @ R4 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_175_rewriteL__comp__comp2,axiom,
% 3.04/1.62 ! [F: ( d > d ) > d > d,G: b > d > d,L1: b > d > d,L2: b > b,H: b > b,R4: b > b] :
% 3.04/1.62 ( ( ( comp_d_d_d_d_b @ F @ G )
% 3.04/1.62 = ( comp_b_d_d_b @ L1 @ L2 ) )
% 3.04/1.62 => ( ( ( comp_b_b_b @ L2 @ H )
% 3.04/1.62 = R4 )
% 3.04/1.62 => ( ( comp_d_d_d_d_b @ F @ ( comp_b_d_d_b @ G @ H ) )
% 3.04/1.62 = ( comp_b_d_d_b @ L1 @ R4 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_176_rewriteL__comp__comp2,axiom,
% 3.04/1.62 ! [F: ( c > c ) > c > c,G: a > c > c,L1: a > c > c,L2: a > a,H: a > a,R4: a > a] :
% 3.04/1.62 ( ( ( comp_c_c_c_c_a @ F @ G )
% 3.04/1.62 = ( comp_a_c_c_a @ L1 @ L2 ) )
% 3.04/1.62 => ( ( ( comp_a_a_a @ L2 @ H )
% 3.04/1.62 = R4 )
% 3.04/1.62 => ( ( comp_c_c_c_c_a @ F @ ( comp_a_c_c_a @ G @ H ) )
% 3.04/1.62 = ( comp_a_c_c_a @ L1 @ R4 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_177_rewriteL__comp__comp2,axiom,
% 3.04/1.62 ! [F: b > d > d,G: b > b,L1: ( d > d ) > d > d,L2: b > d > d,H: b > b,R4: b > d > d] :
% 3.04/1.62 ( ( ( comp_b_d_d_b @ F @ G )
% 3.04/1.62 = ( comp_d_d_d_d_b @ L1 @ L2 ) )
% 3.04/1.62 => ( ( ( comp_b_d_d_b @ L2 @ H )
% 3.04/1.62 = R4 )
% 3.04/1.62 => ( ( comp_b_d_d_b @ F @ ( comp_b_b_b @ G @ H ) )
% 3.04/1.62 = ( comp_d_d_d_d_b @ L1 @ R4 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_178_rewriteL__comp__comp2,axiom,
% 3.04/1.62 ! [F: a > c > c,G: a > a,L1: ( c > c ) > c > c,L2: a > c > c,H: a > a,R4: a > c > c] :
% 3.04/1.62 ( ( ( comp_a_c_c_a @ F @ G )
% 3.04/1.62 = ( comp_c_c_c_c_a @ L1 @ L2 ) )
% 3.04/1.62 => ( ( ( comp_a_c_c_a @ L2 @ H )
% 3.04/1.62 = R4 )
% 3.04/1.62 => ( ( comp_a_c_c_a @ F @ ( comp_a_a_a @ G @ H ) )
% 3.04/1.62 = ( comp_c_c_c_c_a @ L1 @ R4 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_179_rewriteL__comp__comp2,axiom,
% 3.04/1.62 ! [F: b > b,G: b > b,L1: b > b,L2: b > b,H: b > b,R4: b > b] :
% 3.04/1.62 ( ( ( comp_b_b_b @ F @ G )
% 3.04/1.62 = ( comp_b_b_b @ L1 @ L2 ) )
% 3.04/1.62 => ( ( ( comp_b_b_b @ L2 @ H )
% 3.04/1.62 = R4 )
% 3.04/1.62 => ( ( comp_b_b_b @ F @ ( comp_b_b_b @ G @ H ) )
% 3.04/1.62 = ( comp_b_b_b @ L1 @ R4 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_180_rewriteL__comp__comp2,axiom,
% 3.04/1.62 ! [F: a > a,G: a > a,L1: a > a,L2: a > a,H: a > a,R4: a > a] :
% 3.04/1.62 ( ( ( comp_a_a_a @ F @ G )
% 3.04/1.62 = ( comp_a_a_a @ L1 @ L2 ) )
% 3.04/1.62 => ( ( ( comp_a_a_a @ L2 @ H )
% 3.04/1.62 = R4 )
% 3.04/1.62 => ( ( comp_a_a_a @ F @ ( comp_a_a_a @ G @ H ) )
% 3.04/1.62 = ( comp_a_a_a @ L1 @ R4 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_181_rewriteL__comp__comp2,axiom,
% 3.04/1.62 ! [F: ( c > c ) > b,G: a > c > c,L1: b > b,L2: a > b,H: b > a,R4: b > b] :
% 3.04/1.62 ( ( ( comp_c_c_b_a @ F @ G )
% 3.04/1.62 = ( comp_b_b_a @ L1 @ L2 ) )
% 3.04/1.62 => ( ( ( comp_a_b_b @ L2 @ H )
% 3.04/1.62 = R4 )
% 3.04/1.62 => ( ( comp_c_c_b_b @ F @ ( comp_a_c_c_b @ G @ H ) )
% 3.04/1.62 = ( comp_b_b_b @ L1 @ R4 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_182_rewriteL__comp__comp2,axiom,
% 3.04/1.62 ! [F: b > b,G: a > b,L1: ( c > c ) > b,L2: a > c > c,H: b > a,R4: b > c > c] :
% 3.04/1.62 ( ( ( comp_b_b_a @ F @ G )
% 3.04/1.62 = ( comp_c_c_b_a @ L1 @ L2 ) )
% 3.04/1.62 => ( ( ( comp_a_c_c_b @ L2 @ H )
% 3.04/1.62 = R4 )
% 3.04/1.62 => ( ( comp_b_b_b @ F @ ( comp_a_b_b @ G @ H ) )
% 3.04/1.62 = ( comp_c_c_b_b @ L1 @ R4 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_183_rewriteR__comp__comp,axiom,
% 3.04/1.62 ! [G: b > b,H: b > b,R4: b > b,F: b > d > d] :
% 3.04/1.62 ( ( ( comp_b_b_b @ G @ H )
% 3.04/1.62 = R4 )
% 3.04/1.62 => ( ( comp_b_d_d_b @ ( comp_b_d_d_b @ F @ G ) @ H )
% 3.04/1.62 = ( comp_b_d_d_b @ F @ R4 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_184_rewriteR__comp__comp,axiom,
% 3.04/1.62 ! [G: a > a,H: a > a,R4: a > a,F: a > c > c] :
% 3.04/1.62 ( ( ( comp_a_a_a @ G @ H )
% 3.04/1.62 = R4 )
% 3.04/1.62 => ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ G ) @ H )
% 3.04/1.62 = ( comp_a_c_c_a @ F @ R4 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_185_rewriteR__comp__comp,axiom,
% 3.04/1.62 ! [G: b > d > d,H: b > b,R4: b > d > d,F: ( d > d ) > d > d] :
% 3.04/1.62 ( ( ( comp_b_d_d_b @ G @ H )
% 3.04/1.62 = R4 )
% 3.04/1.62 => ( ( comp_b_d_d_b @ ( comp_d_d_d_d_b @ F @ G ) @ H )
% 3.04/1.62 = ( comp_d_d_d_d_b @ F @ R4 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_186_rewriteR__comp__comp,axiom,
% 3.04/1.62 ! [G: a > c > c,H: a > a,R4: a > c > c,F: ( c > c ) > c > c] :
% 3.04/1.62 ( ( ( comp_a_c_c_a @ G @ H )
% 3.04/1.62 = R4 )
% 3.04/1.62 => ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ F @ G ) @ H )
% 3.04/1.62 = ( comp_c_c_c_c_a @ F @ R4 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_187_rewriteR__comp__comp,axiom,
% 3.04/1.62 ! [G: b > b,H: b > b,R4: b > b,F: b > b] :
% 3.04/1.62 ( ( ( comp_b_b_b @ G @ H )
% 3.04/1.62 = R4 )
% 3.04/1.62 => ( ( comp_b_b_b @ ( comp_b_b_b @ F @ G ) @ H )
% 3.04/1.62 = ( comp_b_b_b @ F @ R4 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_188_rewriteR__comp__comp,axiom,
% 3.04/1.62 ! [G: a > a,H: a > a,R4: a > a,F: a > a] :
% 3.04/1.62 ( ( ( comp_a_a_a @ G @ H )
% 3.04/1.62 = R4 )
% 3.04/1.62 => ( ( comp_a_a_a @ ( comp_a_a_a @ F @ G ) @ H )
% 3.04/1.62 = ( comp_a_a_a @ F @ R4 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_189_rewriteR__comp__comp,axiom,
% 3.04/1.62 ! [G: ( d > d ) > b,H: b > d > d,R4: b > b,F: b > b] :
% 3.04/1.62 ( ( ( comp_d_d_b_b @ G @ H )
% 3.04/1.62 = R4 )
% 3.04/1.62 => ( ( comp_d_d_b_b @ ( comp_b_b_d_d @ F @ G ) @ H )
% 3.04/1.62 = ( comp_b_b_b @ F @ R4 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_190_rewriteR__comp__comp,axiom,
% 3.04/1.62 ! [G: b > a,H: a > b,R4: a > a,F: a > c > c] :
% 3.04/1.62 ( ( ( comp_b_a_a @ G @ H )
% 3.04/1.62 = R4 )
% 3.04/1.62 => ( ( comp_b_c_c_a @ ( comp_a_c_c_b @ F @ G ) @ H )
% 3.04/1.62 = ( comp_a_c_c_a @ F @ R4 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_191_rewriteR__comp__comp,axiom,
% 3.04/1.62 ! [G: b > a,H: b > b,R4: b > a,F: a > c > c] :
% 3.04/1.62 ( ( ( comp_b_a_b @ G @ H )
% 3.04/1.62 = R4 )
% 3.04/1.62 => ( ( comp_b_c_c_b @ ( comp_a_c_c_b @ F @ G ) @ H )
% 3.04/1.62 = ( comp_a_c_c_b @ F @ R4 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_192_rewriteR__comp__comp,axiom,
% 3.04/1.62 ! [G: ( c > c ) > a,H: a > c > c,R4: a > a,F: a > a] :
% 3.04/1.62 ( ( ( comp_c_c_a_a @ G @ H )
% 3.04/1.62 = R4 )
% 3.04/1.62 => ( ( comp_c_c_a_a @ ( comp_a_a_c_c @ F @ G ) @ H )
% 3.04/1.62 = ( comp_a_a_a @ F @ R4 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_193_rewriteL__comp__comp,axiom,
% 3.04/1.62 ! [F: b > d > d,G: b > b,L: b > d > d,H: b > b] :
% 3.04/1.62 ( ( ( comp_b_d_d_b @ F @ G )
% 3.04/1.62 = L )
% 3.04/1.62 => ( ( comp_b_d_d_b @ F @ ( comp_b_b_b @ G @ H ) )
% 3.04/1.62 = ( comp_b_d_d_b @ L @ H ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_194_rewriteL__comp__comp,axiom,
% 3.04/1.62 ! [F: a > c > c,G: a > a,L: a > c > c,H: a > a] :
% 3.04/1.62 ( ( ( comp_a_c_c_a @ F @ G )
% 3.04/1.62 = L )
% 3.04/1.62 => ( ( comp_a_c_c_a @ F @ ( comp_a_a_a @ G @ H ) )
% 3.04/1.62 = ( comp_a_c_c_a @ L @ H ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_195_rewriteL__comp__comp,axiom,
% 3.04/1.62 ! [F: ( d > d ) > d > d,G: b > d > d,L: b > d > d,H: b > b] :
% 3.04/1.62 ( ( ( comp_d_d_d_d_b @ F @ G )
% 3.04/1.62 = L )
% 3.04/1.62 => ( ( comp_d_d_d_d_b @ F @ ( comp_b_d_d_b @ G @ H ) )
% 3.04/1.62 = ( comp_b_d_d_b @ L @ H ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_196_rewriteL__comp__comp,axiom,
% 3.04/1.62 ! [F: ( c > c ) > c > c,G: a > c > c,L: a > c > c,H: a > a] :
% 3.04/1.62 ( ( ( comp_c_c_c_c_a @ F @ G )
% 3.04/1.62 = L )
% 3.04/1.62 => ( ( comp_c_c_c_c_a @ F @ ( comp_a_c_c_a @ G @ H ) )
% 3.04/1.62 = ( comp_a_c_c_a @ L @ H ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_197_rewriteL__comp__comp,axiom,
% 3.04/1.62 ! [F: b > b,G: b > b,L: b > b,H: b > b] :
% 3.04/1.62 ( ( ( comp_b_b_b @ F @ G )
% 3.04/1.62 = L )
% 3.04/1.62 => ( ( comp_b_b_b @ F @ ( comp_b_b_b @ G @ H ) )
% 3.04/1.62 = ( comp_b_b_b @ L @ H ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_198_rewriteL__comp__comp,axiom,
% 3.04/1.62 ! [F: a > a,G: a > a,L: a > a,H: a > a] :
% 3.04/1.62 ( ( ( comp_a_a_a @ F @ G )
% 3.04/1.62 = L )
% 3.04/1.62 => ( ( comp_a_a_a @ F @ ( comp_a_a_a @ G @ H ) )
% 3.04/1.62 = ( comp_a_a_a @ L @ H ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_199_rewriteL__comp__comp,axiom,
% 3.04/1.62 ! [F: ( d > d ) > b,G: b > d > d,L: b > b,H: b > b] :
% 3.04/1.62 ( ( ( comp_d_d_b_b @ F @ G )
% 3.04/1.62 = L )
% 3.04/1.62 => ( ( comp_d_d_b_b @ F @ ( comp_b_d_d_b @ G @ H ) )
% 3.04/1.62 = ( comp_b_b_b @ L @ H ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_200_rewriteL__comp__comp,axiom,
% 3.04/1.62 ! [F: ( c > c ) > a,G: a > c > c,L: a > a,H: a > a] :
% 3.04/1.62 ( ( ( comp_c_c_a_a @ F @ G )
% 3.04/1.62 = L )
% 3.04/1.62 => ( ( comp_c_c_a_a @ F @ ( comp_a_c_c_a @ G @ H ) )
% 3.04/1.62 = ( comp_a_a_a @ L @ H ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_201_rewriteL__comp__comp,axiom,
% 3.04/1.62 ! [F: a > c > c,G: a > a,L: a > c > c,H: b > a] :
% 3.04/1.62 ( ( ( comp_a_c_c_a @ F @ G )
% 3.04/1.62 = L )
% 3.04/1.62 => ( ( comp_a_c_c_b @ F @ ( comp_a_a_b @ G @ H ) )
% 3.04/1.62 = ( comp_a_c_c_b @ L @ H ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_202_rewriteL__comp__comp,axiom,
% 3.04/1.62 ! [F: b > b,G: ( d > d ) > b,L: ( d > d ) > b,H: b > d > d] :
% 3.04/1.62 ( ( ( comp_b_b_d_d @ F @ G )
% 3.04/1.62 = L )
% 3.04/1.62 => ( ( comp_b_b_b @ F @ ( comp_d_d_b_b @ G @ H ) )
% 3.04/1.62 = ( comp_d_d_b_b @ L @ H ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_203_fun_Omap__comp,axiom,
% 3.04/1.62 ! [G: b > d > d,F: b > b,V: b > b] :
% 3.04/1.62 ( ( comp_b_d_d_b @ G @ ( comp_b_b_b @ F @ V ) )
% 3.04/1.62 = ( comp_b_d_d_b @ ( comp_b_d_d_b @ G @ F ) @ V ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_204_fun_Omap__comp,axiom,
% 3.04/1.62 ! [G: a > c > c,F: a > a,V: a > a] :
% 3.04/1.62 ( ( comp_a_c_c_a @ G @ ( comp_a_a_a @ F @ V ) )
% 3.04/1.62 = ( comp_a_c_c_a @ ( comp_a_c_c_a @ G @ F ) @ V ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_205_fun_Omap__comp,axiom,
% 3.04/1.62 ! [G: ( d > d ) > d > d,F: b > d > d,V: b > b] :
% 3.04/1.62 ( ( comp_d_d_d_d_b @ G @ ( comp_b_d_d_b @ F @ V ) )
% 3.04/1.62 = ( comp_b_d_d_b @ ( comp_d_d_d_d_b @ G @ F ) @ V ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_206_fun_Omap__comp,axiom,
% 3.04/1.62 ! [G: ( c > c ) > c > c,F: a > c > c,V: a > a] :
% 3.04/1.62 ( ( comp_c_c_c_c_a @ G @ ( comp_a_c_c_a @ F @ V ) )
% 3.04/1.62 = ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ G @ F ) @ V ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_207_fun_Omap__comp,axiom,
% 3.04/1.62 ! [G: b > b,F: b > b,V: b > b] :
% 3.04/1.62 ( ( comp_b_b_b @ G @ ( comp_b_b_b @ F @ V ) )
% 3.04/1.62 = ( comp_b_b_b @ ( comp_b_b_b @ G @ F ) @ V ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_208_fun_Omap__comp,axiom,
% 3.04/1.62 ! [G: a > a,F: a > a,V: a > a] :
% 3.04/1.62 ( ( comp_a_a_a @ G @ ( comp_a_a_a @ F @ V ) )
% 3.04/1.62 = ( comp_a_a_a @ ( comp_a_a_a @ G @ F ) @ V ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_209_fun_Omap__comp,axiom,
% 3.04/1.62 ! [G: ( d > d ) > b,F: b > d > d,V: b > b] :
% 3.04/1.62 ( ( comp_d_d_b_b @ G @ ( comp_b_d_d_b @ F @ V ) )
% 3.04/1.62 = ( comp_b_b_b @ ( comp_d_d_b_b @ G @ F ) @ V ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_210_fun_Omap__comp,axiom,
% 3.04/1.62 ! [G: ( c > c ) > a,F: a > c > c,V: a > a] :
% 3.04/1.62 ( ( comp_c_c_a_a @ G @ ( comp_a_c_c_a @ F @ V ) )
% 3.04/1.62 = ( comp_a_a_a @ ( comp_c_c_a_a @ G @ F ) @ V ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_211_fun_Omap__comp,axiom,
% 3.04/1.62 ! [G: a > c > c,F: b > a,V: a > b] :
% 3.04/1.62 ( ( comp_a_c_c_a @ G @ ( comp_b_a_a @ F @ V ) )
% 3.04/1.62 = ( comp_b_c_c_a @ ( comp_a_c_c_b @ G @ F ) @ V ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_212_fun_Omap__comp,axiom,
% 3.04/1.62 ! [G: b > b,F: b > b,V: ( d > d ) > b] :
% 3.04/1.62 ( ( comp_b_b_d_d @ G @ ( comp_b_b_d_d @ F @ V ) )
% 3.04/1.62 = ( comp_b_b_d_d @ ( comp_b_b_b @ G @ F ) @ V ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_213_comp__apply__eq,axiom,
% 3.04/1.62 ! [F: b > b,G: ( d > d ) > b,X: d > d,H: b > b,K: ( d > d ) > b] :
% 3.04/1.62 ( ( ( F @ ( G @ X ) )
% 3.04/1.62 = ( H @ ( K @ X ) ) )
% 3.04/1.62 => ( ( comp_b_b_d_d @ F @ G @ X )
% 3.04/1.62 = ( comp_b_b_d_d @ H @ K @ X ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_214_comp__apply__eq,axiom,
% 3.04/1.62 ! [F: b > b,G: b > b,X: b,H: b > b,K: b > b] :
% 3.04/1.62 ( ( ( F @ ( G @ X ) )
% 3.04/1.62 = ( H @ ( K @ X ) ) )
% 3.04/1.62 => ( ( comp_b_b_b @ F @ G @ X )
% 3.04/1.62 = ( comp_b_b_b @ H @ K @ X ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_215_comp__apply__eq,axiom,
% 3.04/1.62 ! [F: a > c > c,G: b > a,X: b,H: a > c > c,K: b > a] :
% 3.04/1.62 ( ( ( F @ ( G @ X ) )
% 3.04/1.62 = ( H @ ( K @ X ) ) )
% 3.04/1.62 => ( ( comp_a_c_c_b @ F @ G @ X )
% 3.04/1.62 = ( comp_a_c_c_b @ H @ K @ X ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_216_comp__apply__eq,axiom,
% 3.04/1.62 ! [F: a > a,G: ( c > c ) > a,X: c > c,H: a > a,K: ( c > c ) > a] :
% 3.04/1.62 ( ( ( F @ ( G @ X ) )
% 3.04/1.62 = ( H @ ( K @ X ) ) )
% 3.04/1.62 => ( ( comp_a_a_c_c @ F @ G @ X )
% 3.04/1.62 = ( comp_a_a_c_c @ H @ K @ X ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_217_comp__apply__eq,axiom,
% 3.04/1.62 ! [F: a > a,G: a > a,X: a,H: a > a,K: a > a] :
% 3.04/1.62 ( ( ( F @ ( G @ X ) )
% 3.04/1.62 = ( H @ ( K @ X ) ) )
% 3.04/1.62 => ( ( comp_a_a_a @ F @ G @ X )
% 3.04/1.62 = ( comp_a_a_a @ H @ K @ X ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_218_comp__apply__eq,axiom,
% 3.04/1.62 ! [F: b > d > d,G: b > b,X: b,H: b > d > d,K: b > b] :
% 3.04/1.62 ( ( ( F @ ( G @ X ) )
% 3.04/1.62 = ( H @ ( K @ X ) ) )
% 3.04/1.62 => ( ( comp_b_d_d_b @ F @ G @ X )
% 3.04/1.62 = ( comp_b_d_d_b @ H @ K @ X ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_219_comp__apply__eq,axiom,
% 3.04/1.62 ! [F: a > c > c,G: a > a,X: a,H: a > c > c,K: a > a] :
% 3.04/1.62 ( ( ( F @ ( G @ X ) )
% 3.04/1.62 = ( H @ ( K @ X ) ) )
% 3.04/1.62 => ( ( comp_a_c_c_a @ F @ G @ X )
% 3.04/1.62 = ( comp_a_c_c_a @ H @ K @ X ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_220_mem__Collect__eq,axiom,
% 3.04/1.62 ! [A3: a,P: a > $o] :
% 3.04/1.62 ( ( member_a @ A3 @ ( collect_a @ P ) )
% 3.04/1.62 = ( P @ A3 ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_221_mem__Collect__eq,axiom,
% 3.04/1.62 ! [A3: c,P: c > $o] :
% 3.04/1.62 ( ( member_c @ A3 @ ( collect_c @ P ) )
% 3.04/1.62 = ( P @ A3 ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_222_mem__Collect__eq,axiom,
% 3.04/1.62 ! [A3: b,P: b > $o] :
% 3.04/1.62 ( ( member_b @ A3 @ ( collect_b @ P ) )
% 3.04/1.62 = ( P @ A3 ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_223_mem__Collect__eq,axiom,
% 3.04/1.62 ! [A3: d,P: d > $o] :
% 3.04/1.62 ( ( member_d @ A3 @ ( collect_d @ P ) )
% 3.04/1.62 = ( P @ A3 ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_224_Collect__mem__eq,axiom,
% 3.04/1.62 ! [A: set_a] :
% 3.04/1.62 ( ( collect_a
% 3.04/1.62 @ ^ [X3: a] : ( member_a @ X3 @ A ) )
% 3.04/1.62 = A ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_225_Collect__mem__eq,axiom,
% 3.04/1.62 ! [A: set_c] :
% 3.04/1.62 ( ( collect_c
% 3.04/1.62 @ ^ [X3: c] : ( member_c @ X3 @ A ) )
% 3.04/1.62 = A ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_226_Collect__mem__eq,axiom,
% 3.04/1.62 ! [A: set_b] :
% 3.04/1.62 ( ( collect_b
% 3.04/1.62 @ ^ [X3: b] : ( member_b @ X3 @ A ) )
% 3.04/1.62 = A ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_227_Collect__mem__eq,axiom,
% 3.04/1.62 ! [A: set_d] :
% 3.04/1.62 ( ( collect_d
% 3.04/1.62 @ ^ [X3: d] : ( member_d @ X3 @ A ) )
% 3.04/1.62 = A ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_228_comp__eq__dest__lhs,axiom,
% 3.04/1.62 ! [A3: b > b,B3: ( d > d ) > b,C2: ( d > d ) > b,V: d > d] :
% 3.04/1.62 ( ( ( comp_b_b_d_d @ A3 @ B3 )
% 3.04/1.62 = C2 )
% 3.04/1.62 => ( ( A3 @ ( B3 @ V ) )
% 3.04/1.62 = ( C2 @ V ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_229_comp__eq__dest__lhs,axiom,
% 3.04/1.62 ! [A3: b > b,B3: b > b,C2: b > b,V: b] :
% 3.04/1.62 ( ( ( comp_b_b_b @ A3 @ B3 )
% 3.04/1.62 = C2 )
% 3.04/1.62 => ( ( A3 @ ( B3 @ V ) )
% 3.04/1.62 = ( C2 @ V ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_230_comp__eq__dest__lhs,axiom,
% 3.04/1.62 ! [A3: a > c > c,B3: b > a,C2: b > c > c,V: b] :
% 3.04/1.62 ( ( ( comp_a_c_c_b @ A3 @ B3 )
% 3.04/1.62 = C2 )
% 3.04/1.62 => ( ( A3 @ ( B3 @ V ) )
% 3.04/1.62 = ( C2 @ V ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_231_comp__eq__dest__lhs,axiom,
% 3.04/1.62 ! [A3: a > a,B3: ( c > c ) > a,C2: ( c > c ) > a,V: c > c] :
% 3.04/1.62 ( ( ( comp_a_a_c_c @ A3 @ B3 )
% 3.04/1.62 = C2 )
% 3.04/1.62 => ( ( A3 @ ( B3 @ V ) )
% 3.04/1.62 = ( C2 @ V ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_232_comp__eq__dest__lhs,axiom,
% 3.04/1.62 ! [A3: a > a,B3: a > a,C2: a > a,V: a] :
% 3.04/1.62 ( ( ( comp_a_a_a @ A3 @ B3 )
% 3.04/1.62 = C2 )
% 3.04/1.62 => ( ( A3 @ ( B3 @ V ) )
% 3.04/1.62 = ( C2 @ V ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_233_comp__eq__dest__lhs,axiom,
% 3.04/1.62 ! [A3: b > d > d,B3: b > b,C2: b > d > d,V: b] :
% 3.04/1.62 ( ( ( comp_b_d_d_b @ A3 @ B3 )
% 3.04/1.62 = C2 )
% 3.04/1.62 => ( ( A3 @ ( B3 @ V ) )
% 3.04/1.62 = ( C2 @ V ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_234_comp__eq__dest__lhs,axiom,
% 3.04/1.62 ! [A3: a > c > c,B3: a > a,C2: a > c > c,V: a] :
% 3.04/1.62 ( ( ( comp_a_c_c_a @ A3 @ B3 )
% 3.04/1.62 = C2 )
% 3.04/1.62 => ( ( A3 @ ( B3 @ V ) )
% 3.04/1.62 = ( C2 @ V ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_235_comp__eq__elim,axiom,
% 3.04/1.62 ! [A3: b > b,B3: ( d > d ) > b,C2: b > b,D: ( d > d ) > b] :
% 3.04/1.62 ( ( ( comp_b_b_d_d @ A3 @ B3 )
% 3.04/1.62 = ( comp_b_b_d_d @ C2 @ D ) )
% 3.04/1.62 => ! [V2: d > d] :
% 3.04/1.62 ( ( A3 @ ( B3 @ V2 ) )
% 3.04/1.62 = ( C2 @ ( D @ V2 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_236_comp__eq__elim,axiom,
% 3.04/1.62 ! [A3: b > b,B3: b > b,C2: b > b,D: b > b] :
% 3.04/1.62 ( ( ( comp_b_b_b @ A3 @ B3 )
% 3.04/1.62 = ( comp_b_b_b @ C2 @ D ) )
% 3.04/1.62 => ! [V2: b] :
% 3.04/1.62 ( ( A3 @ ( B3 @ V2 ) )
% 3.04/1.62 = ( C2 @ ( D @ V2 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_237_comp__eq__elim,axiom,
% 3.04/1.62 ! [A3: a > c > c,B3: b > a,C2: a > c > c,D: b > a] :
% 3.04/1.62 ( ( ( comp_a_c_c_b @ A3 @ B3 )
% 3.04/1.62 = ( comp_a_c_c_b @ C2 @ D ) )
% 3.04/1.62 => ! [V2: b] :
% 3.04/1.62 ( ( A3 @ ( B3 @ V2 ) )
% 3.04/1.62 = ( C2 @ ( D @ V2 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_238_comp__eq__elim,axiom,
% 3.04/1.62 ! [A3: a > a,B3: ( c > c ) > a,C2: a > a,D: ( c > c ) > a] :
% 3.04/1.62 ( ( ( comp_a_a_c_c @ A3 @ B3 )
% 3.04/1.62 = ( comp_a_a_c_c @ C2 @ D ) )
% 3.04/1.62 => ! [V2: c > c] :
% 3.04/1.62 ( ( A3 @ ( B3 @ V2 ) )
% 3.04/1.62 = ( C2 @ ( D @ V2 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_239_comp__eq__elim,axiom,
% 3.04/1.62 ! [A3: a > a,B3: a > a,C2: a > a,D: a > a] :
% 3.04/1.62 ( ( ( comp_a_a_a @ A3 @ B3 )
% 3.04/1.62 = ( comp_a_a_a @ C2 @ D ) )
% 3.04/1.62 => ! [V2: a] :
% 3.04/1.62 ( ( A3 @ ( B3 @ V2 ) )
% 3.04/1.62 = ( C2 @ ( D @ V2 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_240_comp__eq__elim,axiom,
% 3.04/1.62 ! [A3: b > d > d,B3: b > b,C2: b > d > d,D: b > b] :
% 3.04/1.62 ( ( ( comp_b_d_d_b @ A3 @ B3 )
% 3.04/1.62 = ( comp_b_d_d_b @ C2 @ D ) )
% 3.04/1.62 => ! [V2: b] :
% 3.04/1.62 ( ( A3 @ ( B3 @ V2 ) )
% 3.04/1.62 = ( C2 @ ( D @ V2 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_241_comp__eq__elim,axiom,
% 3.04/1.62 ! [A3: a > c > c,B3: a > a,C2: a > c > c,D: a > a] :
% 3.04/1.62 ( ( ( comp_a_c_c_a @ A3 @ B3 )
% 3.04/1.62 = ( comp_a_c_c_a @ C2 @ D ) )
% 3.04/1.62 => ! [V2: a] :
% 3.04/1.62 ( ( A3 @ ( B3 @ V2 ) )
% 3.04/1.62 = ( C2 @ ( D @ V2 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_242_comp__eq__dest,axiom,
% 3.04/1.62 ! [A3: b > b,B3: ( d > d ) > b,C2: b > b,D: ( d > d ) > b,V: d > d] :
% 3.04/1.62 ( ( ( comp_b_b_d_d @ A3 @ B3 )
% 3.04/1.62 = ( comp_b_b_d_d @ C2 @ D ) )
% 3.04/1.62 => ( ( A3 @ ( B3 @ V ) )
% 3.04/1.62 = ( C2 @ ( D @ V ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_243_comp__eq__dest,axiom,
% 3.04/1.62 ! [A3: b > b,B3: b > b,C2: b > b,D: b > b,V: b] :
% 3.04/1.62 ( ( ( comp_b_b_b @ A3 @ B3 )
% 3.04/1.62 = ( comp_b_b_b @ C2 @ D ) )
% 3.04/1.62 => ( ( A3 @ ( B3 @ V ) )
% 3.04/1.62 = ( C2 @ ( D @ V ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_244_comp__eq__dest,axiom,
% 3.04/1.62 ! [A3: a > c > c,B3: b > a,C2: a > c > c,D: b > a,V: b] :
% 3.04/1.62 ( ( ( comp_a_c_c_b @ A3 @ B3 )
% 3.04/1.62 = ( comp_a_c_c_b @ C2 @ D ) )
% 3.04/1.62 => ( ( A3 @ ( B3 @ V ) )
% 3.04/1.62 = ( C2 @ ( D @ V ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_245_comp__eq__dest,axiom,
% 3.04/1.62 ! [A3: a > a,B3: ( c > c ) > a,C2: a > a,D: ( c > c ) > a,V: c > c] :
% 3.04/1.62 ( ( ( comp_a_a_c_c @ A3 @ B3 )
% 3.04/1.62 = ( comp_a_a_c_c @ C2 @ D ) )
% 3.04/1.62 => ( ( A3 @ ( B3 @ V ) )
% 3.04/1.62 = ( C2 @ ( D @ V ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_246_comp__eq__dest,axiom,
% 3.04/1.62 ! [A3: a > a,B3: a > a,C2: a > a,D: a > a,V: a] :
% 3.04/1.62 ( ( ( comp_a_a_a @ A3 @ B3 )
% 3.04/1.62 = ( comp_a_a_a @ C2 @ D ) )
% 3.04/1.62 => ( ( A3 @ ( B3 @ V ) )
% 3.04/1.62 = ( C2 @ ( D @ V ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_247_comp__eq__dest,axiom,
% 3.04/1.62 ! [A3: b > d > d,B3: b > b,C2: b > d > d,D: b > b,V: b] :
% 3.04/1.62 ( ( ( comp_b_d_d_b @ A3 @ B3 )
% 3.04/1.62 = ( comp_b_d_d_b @ C2 @ D ) )
% 3.04/1.62 => ( ( A3 @ ( B3 @ V ) )
% 3.04/1.62 = ( C2 @ ( D @ V ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_248_comp__eq__dest,axiom,
% 3.04/1.62 ! [A3: a > c > c,B3: a > a,C2: a > c > c,D: a > a,V: a] :
% 3.04/1.62 ( ( ( comp_a_c_c_a @ A3 @ B3 )
% 3.04/1.62 = ( comp_a_c_c_a @ C2 @ D ) )
% 3.04/1.62 => ( ( A3 @ ( B3 @ V ) )
% 3.04/1.62 = ( C2 @ ( D @ V ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_249_comp__assoc,axiom,
% 3.04/1.62 ! [F: b > d > d,G: b > b,H: b > b] :
% 3.04/1.62 ( ( comp_b_d_d_b @ ( comp_b_d_d_b @ F @ G ) @ H )
% 3.04/1.62 = ( comp_b_d_d_b @ F @ ( comp_b_b_b @ G @ H ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_250_comp__assoc,axiom,
% 3.04/1.62 ! [F: a > c > c,G: a > a,H: a > a] :
% 3.04/1.62 ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ G ) @ H )
% 3.04/1.62 = ( comp_a_c_c_a @ F @ ( comp_a_a_a @ G @ H ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_251_comp__assoc,axiom,
% 3.04/1.62 ! [F: ( d > d ) > d > d,G: b > d > d,H: b > b] :
% 3.04/1.62 ( ( comp_b_d_d_b @ ( comp_d_d_d_d_b @ F @ G ) @ H )
% 3.04/1.62 = ( comp_d_d_d_d_b @ F @ ( comp_b_d_d_b @ G @ H ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_252_comp__assoc,axiom,
% 3.04/1.62 ! [F: ( c > c ) > c > c,G: a > c > c,H: a > a] :
% 3.04/1.62 ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ F @ G ) @ H )
% 3.04/1.62 = ( comp_c_c_c_c_a @ F @ ( comp_a_c_c_a @ G @ H ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_253_comp__assoc,axiom,
% 3.04/1.62 ! [F: b > b,G: b > b,H: b > b] :
% 3.04/1.62 ( ( comp_b_b_b @ ( comp_b_b_b @ F @ G ) @ H )
% 3.04/1.62 = ( comp_b_b_b @ F @ ( comp_b_b_b @ G @ H ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_254_comp__assoc,axiom,
% 3.04/1.62 ! [F: a > a,G: a > a,H: a > a] :
% 3.04/1.62 ( ( comp_a_a_a @ ( comp_a_a_a @ F @ G ) @ H )
% 3.04/1.62 = ( comp_a_a_a @ F @ ( comp_a_a_a @ G @ H ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_255_comp__assoc,axiom,
% 3.04/1.62 ! [F: b > b,G: ( d > d ) > b,H: b > d > d] :
% 3.04/1.62 ( ( comp_d_d_b_b @ ( comp_b_b_d_d @ F @ G ) @ H )
% 3.04/1.62 = ( comp_b_b_b @ F @ ( comp_d_d_b_b @ G @ H ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_256_comp__assoc,axiom,
% 3.04/1.62 ! [F: a > c > c,G: b > a,H: a > b] :
% 3.04/1.62 ( ( comp_b_c_c_a @ ( comp_a_c_c_b @ F @ G ) @ H )
% 3.04/1.62 = ( comp_a_c_c_a @ F @ ( comp_b_a_a @ G @ H ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_257_comp__assoc,axiom,
% 3.04/1.62 ! [F: a > c > c,G: b > a,H: b > b] :
% 3.04/1.62 ( ( comp_b_c_c_b @ ( comp_a_c_c_b @ F @ G ) @ H )
% 3.04/1.62 = ( comp_a_c_c_b @ F @ ( comp_b_a_b @ G @ H ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_258_comp__assoc,axiom,
% 3.04/1.62 ! [F: a > a,G: ( c > c ) > a,H: a > c > c] :
% 3.04/1.62 ( ( comp_c_c_a_a @ ( comp_a_a_c_c @ F @ G ) @ H )
% 3.04/1.62 = ( comp_a_a_a @ F @ ( comp_c_c_a_a @ G @ H ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_259_comp__def,axiom,
% 3.04/1.62 ( comp_b_b_d_d
% 3.04/1.62 = ( ^ [F2: b > b,G2: ( d > d ) > b,X3: d > d] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_260_comp__def,axiom,
% 3.04/1.62 ( comp_b_b_b
% 3.04/1.62 = ( ^ [F2: b > b,G2: b > b,X3: b] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_261_comp__def,axiom,
% 3.04/1.62 ( comp_a_c_c_b
% 3.04/1.62 = ( ^ [F2: a > c > c,G2: b > a,X3: b] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_262_comp__def,axiom,
% 3.04/1.62 ( comp_a_a_c_c
% 3.04/1.62 = ( ^ [F2: a > a,G2: ( c > c ) > a,X3: c > c] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_263_comp__def,axiom,
% 3.04/1.62 ( comp_a_a_a
% 3.04/1.62 = ( ^ [F2: a > a,G2: a > a,X3: a] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_264_comp__def,axiom,
% 3.04/1.62 ( comp_b_d_d_b
% 3.04/1.62 = ( ^ [F2: b > d > d,G2: b > b,X3: b] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_265_comp__def,axiom,
% 3.04/1.62 ( comp_a_c_c_a
% 3.04/1.62 = ( ^ [F2: a > c > c,G2: a > a,X3: a] : ( F2 @ ( G2 @ X3 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_266_Let__transfer,axiom,
% 3.04/1.62 ! [A: a > b > $o,B: a > b > $o] :
% 3.04/1.62 ( bNF_re1730737055_b_b_b @ A @ ( bNF_re2087760490_b_a_b @ ( bNF_rel_fun_a_b_a_b @ A @ B ) @ B )
% 3.04/1.62 @ ^ [S3: a,F2: a > a] : ( F2 @ S3 )
% 3.04/1.62 @ ^ [S3: b,F2: b > b] : ( F2 @ S3 ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_267_Let__transfer,axiom,
% 3.04/1.62 ! [A: a > a > $o,B: ( c > c ) > ( d > d ) > $o] :
% 3.04/1.62 ( bNF_re1391160029_d_d_d @ A @ ( bNF_re1955249705_c_d_d @ ( bNF_re1979731817_c_d_d @ A @ B ) @ B )
% 3.04/1.62 @ ^ [S3: a,F2: a > c > c] : ( F2 @ S3 )
% 3.04/1.62 @ ^ [S3: a,F2: a > d > d] : ( F2 @ S3 ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_268_Let__transfer,axiom,
% 3.04/1.62 ! [A: a > a > $o,B: ( c > c ) > ( c > c ) > $o] :
% 3.04/1.62 ( bNF_re1482032989_c_c_c @ A @ ( bNF_re27458217_c_c_c @ ( bNF_re1143700905_c_c_c @ A @ B ) @ B )
% 3.04/1.62 @ ^ [S3: a,F2: a > c > c] : ( F2 @ S3 )
% 3.04/1.62 @ ^ [S3: a,F2: a > c > c] : ( F2 @ S3 ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_269_Let__transfer,axiom,
% 3.04/1.62 ! [A: a > a > $o,B: a > b > $o] :
% 3.04/1.62 ( bNF_re1093913501_a_b_b @ A @ ( bNF_re473406379_b_a_b @ ( bNF_rel_fun_a_a_a_b @ A @ B ) @ B )
% 3.04/1.62 @ ^ [S3: a,F2: a > a] : ( F2 @ S3 )
% 3.04/1.62 @ ^ [S3: a,F2: a > b] : ( F2 @ S3 ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_270_Let__transfer,axiom,
% 3.04/1.62 ! [A: a > a > $o,B: a > a > $o] :
% 3.04/1.62 ( bNF_re865741149_a_a_a @ A @ ( bNF_re571457705_a_a_a @ ( bNF_rel_fun_a_a_a_a @ A @ B ) @ B )
% 3.04/1.62 @ ^ [S3: a,F2: a > a] : ( F2 @ S3 )
% 3.04/1.62 @ ^ [S3: a,F2: a > a] : ( F2 @ S3 ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_271_Let__transfer,axiom,
% 3.04/1.62 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o] :
% 3.04/1.62 ( bNF_re1327926367_d_d_d @ A @ ( bNF_re84044842_c_d_d @ ( bNF_re802603882_c_d_d @ A @ B ) @ B )
% 3.04/1.62 @ ^ [S3: a,F2: a > c > c] : ( F2 @ S3 )
% 3.04/1.62 @ ^ [S3: b,F2: b > d > d] : ( F2 @ S3 ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_272_Let__transfer,axiom,
% 3.04/1.62 ! [A: c > d > $o,B: c > d > $o] :
% 3.04/1.62 ( bNF_re1313098655_d_d_d @ A @ ( bNF_re1303182826_d_c_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) @ B )
% 3.04/1.62 @ ^ [S3: c,F2: c > c] : ( F2 @ S3 )
% 3.04/1.62 @ ^ [S3: d,F2: d > d] : ( F2 @ S3 ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_273_type__copy__map__cong0,axiom,
% 3.04/1.62 ! [M: a > a,G: b > a,X: b,N: a > a,H: b > a,F: a > c > c] :
% 3.04/1.62 ( ( ( M @ ( G @ X ) )
% 3.04/1.62 = ( N @ ( H @ X ) ) )
% 3.04/1.62 => ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ F @ M ) @ G @ X )
% 3.04/1.62 = ( comp_a_c_c_b @ ( comp_a_c_c_a @ F @ N ) @ H @ X ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_274_type__copy__map__cong0,axiom,
% 3.04/1.62 ! [M: a > a,G: ( c > c ) > a,X: c > c,N: ( c > c ) > a,H: ( c > c ) > c > c,F: a > a] :
% 3.04/1.62 ( ( ( M @ ( G @ X ) )
% 3.04/1.62 = ( N @ ( H @ X ) ) )
% 3.04/1.62 => ( ( comp_a_a_c_c @ ( comp_a_a_a @ F @ M ) @ G @ X )
% 3.04/1.62 = ( comp_c_c_a_c_c @ ( comp_a_a_c_c @ F @ N ) @ H @ X ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_275_type__copy__map__cong0,axiom,
% 3.04/1.62 ! [M: a > a,G: ( c > c ) > a,X: c > c,N: a > a,H: ( c > c ) > a,F: a > a] :
% 3.04/1.62 ( ( ( M @ ( G @ X ) )
% 3.04/1.62 = ( N @ ( H @ X ) ) )
% 3.04/1.62 => ( ( comp_a_a_c_c @ ( comp_a_a_a @ F @ M ) @ G @ X )
% 3.04/1.62 = ( comp_a_a_c_c @ ( comp_a_a_a @ F @ N ) @ H @ X ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_276_type__copy__map__cong0,axiom,
% 3.04/1.62 ! [M: a > a,G: a > a,X: a,N: ( c > c ) > a,H: a > c > c,F: a > a] :
% 3.04/1.62 ( ( ( M @ ( G @ X ) )
% 3.04/1.62 = ( N @ ( H @ X ) ) )
% 3.04/1.62 => ( ( comp_a_a_a @ ( comp_a_a_a @ F @ M ) @ G @ X )
% 3.04/1.62 = ( comp_c_c_a_a @ ( comp_a_a_c_c @ F @ N ) @ H @ X ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_277_type__copy__map__cong0,axiom,
% 3.04/1.62 ! [M: a > a,G: a > a,X: a,N: a > a,H: a > a,F: a > a] :
% 3.04/1.62 ( ( ( M @ ( G @ X ) )
% 3.04/1.62 = ( N @ ( H @ X ) ) )
% 3.04/1.62 => ( ( comp_a_a_a @ ( comp_a_a_a @ F @ M ) @ G @ X )
% 3.04/1.62 = ( comp_a_a_a @ ( comp_a_a_a @ F @ N ) @ H @ X ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_278_type__copy__map__cong0,axiom,
% 3.04/1.62 ! [M: b > b,G: b > b,X: b,N: b > b,H: b > b,F: b > d > d] :
% 3.04/1.62 ( ( ( M @ ( G @ X ) )
% 3.04/1.62 = ( N @ ( H @ X ) ) )
% 3.04/1.62 => ( ( comp_b_d_d_b @ ( comp_b_d_d_b @ F @ M ) @ G @ X )
% 3.04/1.62 = ( comp_b_d_d_b @ ( comp_b_d_d_b @ F @ N ) @ H @ X ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_279_type__copy__map__cong0,axiom,
% 3.04/1.62 ! [M: a > a,G: a > a,X: a,N: a > a,H: a > a,F: a > c > c] :
% 3.04/1.62 ( ( ( M @ ( G @ X ) )
% 3.04/1.62 = ( N @ ( H @ X ) ) )
% 3.04/1.62 => ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ M ) @ G @ X )
% 3.04/1.62 = ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ N ) @ H @ X ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_280_function__factors__right,axiom,
% 3.04/1.62 ! [G: b > d > d,F: b > d > d] :
% 3.04/1.62 ( ( ! [X3: b] :
% 3.04/1.62 ? [Y3: b] :
% 3.04/1.62 ( ( G @ Y3 )
% 3.04/1.62 = ( F @ X3 ) ) )
% 3.04/1.62 = ( ? [H2: b > b] :
% 3.04/1.62 ( F
% 3.04/1.62 = ( comp_b_d_d_b @ G @ H2 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_281_function__factors__right,axiom,
% 3.04/1.62 ! [G: a > c > c,F: a > c > c] :
% 3.04/1.62 ( ( ! [X3: a] :
% 3.04/1.62 ? [Y3: a] :
% 3.04/1.62 ( ( G @ Y3 )
% 3.04/1.62 = ( F @ X3 ) ) )
% 3.04/1.62 = ( ? [H2: a > a] :
% 3.04/1.62 ( F
% 3.04/1.62 = ( comp_a_c_c_a @ G @ H2 ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_282_function__factors__left,axiom,
% 3.04/1.62 ! [G: b > b,F: b > d > d] :
% 3.04/1.62 ( ( ! [X3: b,Y3: b] :
% 3.04/1.62 ( ( ( G @ X3 )
% 3.04/1.62 = ( G @ Y3 ) )
% 3.04/1.62 => ( ( F @ X3 )
% 3.04/1.62 = ( F @ Y3 ) ) ) )
% 3.04/1.62 = ( ? [H2: b > d > d] :
% 3.04/1.62 ( F
% 3.04/1.62 = ( comp_b_d_d_b @ H2 @ G ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_283_function__factors__left,axiom,
% 3.04/1.62 ! [G: a > a,F: a > c > c] :
% 3.04/1.62 ( ( ! [X3: a,Y3: a] :
% 3.04/1.62 ( ( ( G @ X3 )
% 3.04/1.62 = ( G @ Y3 ) )
% 3.04/1.62 => ( ( F @ X3 )
% 3.04/1.62 = ( F @ Y3 ) ) ) )
% 3.04/1.62 = ( ? [H2: a > c > c] :
% 3.04/1.62 ( F
% 3.04/1.62 = ( comp_a_c_c_a @ H2 @ G ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_284_comp__cong,axiom,
% 3.04/1.62 ! [F: b > d > d,G: b > b,X: b,F3: b > d > d,G3: b > b,X5: b] :
% 3.04/1.62 ( ( ( F @ ( G @ X ) )
% 3.04/1.62 = ( F3 @ ( G3 @ X5 ) ) )
% 3.04/1.62 => ( ( comp_b_d_d_b @ F @ G @ X )
% 3.04/1.62 = ( comp_b_d_d_b @ F3 @ G3 @ X5 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_285_comp__cong,axiom,
% 3.04/1.62 ! [F: a > c > c,G: a > a,X: a,F3: a > c > c,G3: a > a,X5: a] :
% 3.04/1.62 ( ( ( F @ ( G @ X ) )
% 3.04/1.62 = ( F3 @ ( G3 @ X5 ) ) )
% 3.04/1.62 => ( ( comp_a_c_c_a @ F @ G @ X )
% 3.04/1.62 = ( comp_a_c_c_a @ F3 @ G3 @ X5 ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_286_apply__rsp_H,axiom,
% 3.04/1.62 ! [R1: a > b > $o,R2: ( c > c ) > ( d > d ) > $o,F: a > c > c,G: b > d > d,X: a,Y: b] :
% 3.04/1.62 ( ( bNF_re802603882_c_d_d @ R1 @ R2 @ F @ G )
% 3.04/1.62 => ( ( R1 @ X @ Y )
% 3.04/1.62 => ( R2 @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_287_apply__rsp_H,axiom,
% 3.04/1.62 ! [R1: c > d > $o,R2: c > d > $o,F: c > c,G: d > d,X: c,Y: d] :
% 3.04/1.62 ( ( bNF_rel_fun_c_d_c_d @ R1 @ R2 @ F @ G )
% 3.04/1.62 => ( ( R1 @ X @ Y )
% 3.04/1.62 => ( R2 @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_288_rel__funE,axiom,
% 3.04/1.62 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o,F: a > c > c,G: b > d > d,X: a,Y: b] :
% 3.04/1.62 ( ( bNF_re802603882_c_d_d @ A @ B @ F @ G )
% 3.04/1.62 => ( ( A @ X @ Y )
% 3.04/1.62 => ( B @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_289_rel__funE,axiom,
% 3.04/1.62 ! [A: c > d > $o,B: c > d > $o,F: c > c,G: d > d,X: c,Y: d] :
% 3.04/1.62 ( ( bNF_rel_fun_c_d_c_d @ A @ B @ F @ G )
% 3.04/1.62 => ( ( A @ X @ Y )
% 3.04/1.62 => ( B @ ( F @ X ) @ ( G @ Y ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_290_map__fun__parametric,axiom,
% 3.04/1.62 ! [A: a > b > $o,B: a > b > $o,C: ( c > c ) > ( d > d ) > $o,D2: ( c > c ) > ( d > d ) > $o] : ( bNF_re932551557_b_d_d @ ( bNF_rel_fun_a_b_a_b @ A @ B ) @ ( bNF_re141854397_b_d_d @ ( bNF_re2078100341_c_d_d @ C @ D2 ) @ ( bNF_re692482399_b_d_d @ ( bNF_re802603882_c_d_d @ B @ C ) @ ( bNF_re802603882_c_d_d @ A @ D2 ) ) ) @ map_fun_a_a_c_c_c_c @ map_fun_b_b_d_d_d_d ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_291_map__fun__parametric,axiom,
% 3.04/1.62 ! [A: c > d > $o,B: a > b > $o,C: ( c > c ) > ( d > d ) > $o,D2: c > d > $o] : ( bNF_re1164948833_d_d_d @ ( bNF_rel_fun_c_d_a_b @ A @ B ) @ ( bNF_re1238578079_d_d_d @ ( bNF_re1303182826_d_c_d @ C @ D2 ) @ ( bNF_re84044842_c_d_d @ ( bNF_re802603882_c_d_d @ B @ C ) @ ( bNF_rel_fun_c_d_c_d @ A @ D2 ) ) ) @ map_fun_c_a_c_c_c @ map_fun_d_b_d_d_d ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_292_map__fun__parametric,axiom,
% 3.04/1.62 ! [A: a > b > $o,B: c > d > $o,C: c > d > $o,D2: ( c > c ) > ( d > d ) > $o] : ( bNF_re1606289753_b_d_d @ ( bNF_rel_fun_a_b_c_d @ A @ B ) @ ( bNF_re1507718559_b_d_d @ ( bNF_re1972258794_c_d_d @ C @ D2 ) @ ( bNF_re1145286186_b_d_d @ ( bNF_rel_fun_c_d_c_d @ B @ C ) @ ( bNF_re802603882_c_d_d @ A @ D2 ) ) ) @ map_fun_a_c_c_c_c2 @ map_fun_b_d_d_d_d2 ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_293_map__fun__parametric,axiom,
% 3.04/1.62 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o,C: a > b > $o,D2: ( c > c ) > ( d > d ) > $o] : ( bNF_re364486559_b_d_d @ ( bNF_re802603882_c_d_d @ A @ B ) @ ( bNF_re387831090_b_d_d @ ( bNF_re802603882_c_d_d @ C @ D2 ) @ ( bNF_re35019871_b_d_d @ ( bNF_re1795127658_d_a_b @ B @ C ) @ ( bNF_re802603882_c_d_d @ A @ D2 ) ) ) @ map_fun_a_c_c_a_c_c @ map_fun_b_d_d_b_d_d ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_294_map__fun__parametric,axiom,
% 3.04/1.62 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o,C: c > d > $o,D2: c > d > $o] : ( bNF_re727696351_d_b_d @ ( bNF_re802603882_c_d_d @ A @ B ) @ ( bNF_re335372010_d_b_d @ ( bNF_rel_fun_c_d_c_d @ C @ D2 ) @ ( bNF_re1209333166_c_b_d @ ( bNF_re1303182826_d_c_d @ B @ C ) @ ( bNF_rel_fun_a_b_c_d @ A @ D2 ) ) ) @ map_fun_a_c_c_c_c @ map_fun_b_d_d_d_d ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_295_map__fun__parametric,axiom,
% 3.04/1.62 ! [A: c > d > $o,B: c > d > $o,C: a > b > $o,D2: ( c > c ) > ( d > d ) > $o] : ( bNF_re1709888353_d_d_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) @ ( bNF_re2120361759_d_d_d @ ( bNF_re802603882_c_d_d @ C @ D2 ) @ ( bNF_re1509948838_d_d_d @ ( bNF_rel_fun_c_d_a_b @ B @ C ) @ ( bNF_re1972258794_c_d_d @ A @ D2 ) ) ) @ map_fun_c_c_a_c_c @ map_fun_d_d_b_d_d ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_296_map__fun__parametric,axiom,
% 3.04/1.62 ! [A: c > d > $o,B: c > d > $o,C: c > d > $o,D2: c > d > $o] : ( bNF_re888371717_d_d_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) @ ( bNF_re764096061_d_d_d @ ( bNF_rel_fun_c_d_c_d @ C @ D2 ) @ ( bNF_re2078100341_c_d_d @ ( bNF_rel_fun_c_d_c_d @ B @ C ) @ ( bNF_rel_fun_c_d_c_d @ A @ D2 ) ) ) @ map_fun_c_c_c_c @ map_fun_d_d_d_d ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_297_fun__ord__parametric,axiom,
% 3.04/1.62 ! [C: a > b > $o,A: ( c > c ) > ( d > d ) > $o,B: ( c > c ) > ( d > d ) > $o] :
% 3.04/1.62 ( ( bi_total_a_b @ C )
% 3.04/1.62 => ( bNF_re19414301_d_d_o
% 3.04/1.62 @ ( bNF_re781155241_d_d_o @ A
% 3.04/1.62 @ ( bNF_re857878889_d_o_o @ B
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_re1855937521_d_d_o @ ( bNF_re802603882_c_d_d @ C @ A )
% 3.04/1.62 @ ( bNF_re1501709470_d_o_o @ ( bNF_re802603882_c_d_d @ C @ B )
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ partia186872226_c_c_a
% 3.04/1.62 @ partia1709452835_d_d_b ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_298_fun__ord__parametric,axiom,
% 3.04/1.62 ! [C: c > d > $o,A: c > d > $o,B: c > d > $o] :
% 3.04/1.62 ( ( bi_total_c_d @ C )
% 3.04/1.62 => ( bNF_re764708765_d_d_o
% 3.04/1.62 @ ( bNF_re391428377_o_d_o @ A
% 3.04/1.62 @ ( bNF_rel_fun_c_d_o_o @ B
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ ( bNF_re781155241_d_d_o @ ( bNF_rel_fun_c_d_c_d @ C @ A )
% 3.04/1.62 @ ( bNF_re857878889_d_o_o @ ( bNF_rel_fun_c_d_c_d @ C @ B )
% 3.04/1.62 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.62 @ partia1494029680_c_c_c
% 3.04/1.62 @ partia1041982257_d_d_d ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_299_comp__fun__commute_Ofold__mset__union,axiom,
% 3.04/1.62 ! [F: a > c > c,S: c,M: multiset_a,N: multiset_a] :
% 3.04/1.62 ( ( finite746615251te_a_c @ F )
% 3.04/1.62 => ( ( fold_mset_a_c @ F @ S @ ( plus_plus_multiset_a @ M @ N ) )
% 3.04/1.62 = ( fold_mset_a_c @ F @ ( fold_mset_a_c @ F @ S @ M ) @ N ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_300_comp__fun__commute_Ofold__mset__union,axiom,
% 3.04/1.62 ! [F: b > d > d,S: d,M: multiset_b,N: multiset_b] :
% 3.04/1.62 ( ( finite1574384659te_b_d @ F )
% 3.04/1.62 => ( ( fold_mset_b_d @ F @ S @ ( plus_plus_multiset_b @ M @ N ) )
% 3.04/1.62 = ( fold_mset_b_d @ F @ ( fold_mset_b_d @ F @ S @ M ) @ N ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_301_o__prs_I1_J,axiom,
% 3.04/1.62 ! [R1: b > b > $o,Abs1: b > b,Rep1: b > b,R2: b > b > $o,Abs2: b > b,Rep2: b > b,R3: ( d > d ) > ( d > d ) > $o,Abs3: ( d > d ) > d > d,Rep3: ( d > d ) > d > d] :
% 3.04/1.62 ( ( quotient3_b_b @ R1 @ Abs1 @ Rep1 )
% 3.04/1.62 => ( ( quotient3_b_b @ R2 @ Abs2 @ Rep2 )
% 3.04/1.62 => ( ( quotient3_d_d_d_d @ R3 @ Abs3 @ Rep3 )
% 3.04/1.62 => ( ( map_fu538233110_b_d_d @ ( map_fun_b_b_d_d_d_d @ Abs2 @ Rep3 ) @ ( map_fu683206690_b_d_d @ ( map_fun_b_b_b_b @ Abs1 @ Rep2 ) @ ( map_fun_b_b_d_d_d_d @ Rep1 @ Abs3 ) ) @ comp_b_d_d_b )
% 3.04/1.62 = comp_b_d_d_b ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_302_o__prs_I1_J,axiom,
% 3.04/1.62 ! [R1: b > b > $o,Abs1: b > a,Rep1: a > b,R2: b > b > $o,Abs2: b > a,Rep2: a > b,R3: ( d > d ) > ( d > d ) > $o,Abs3: ( d > d ) > c > c,Rep3: ( c > c ) > d > d] :
% 3.04/1.62 ( ( quotient3_b_a @ R1 @ Abs1 @ Rep1 )
% 3.04/1.62 => ( ( quotient3_b_a @ R2 @ Abs2 @ Rep2 )
% 3.04/1.62 => ( ( quotient3_d_d_c_c @ R3 @ Abs3 @ Rep3 )
% 3.04/1.62 => ( ( map_fu232832790_a_c_c @ ( map_fun_b_a_c_c_d_d @ Abs2 @ Rep3 ) @ ( map_fu75729569_a_c_c @ ( map_fun_b_a_a_b @ Abs1 @ Rep2 ) @ ( map_fun_a_b_d_d_c_c @ Rep1 @ Abs3 ) ) @ comp_b_d_d_b )
% 3.04/1.62 = comp_a_c_c_a ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_303_o__prs_I1_J,axiom,
% 3.04/1.62 ! [R1: a > a > $o,Abs1: a > b,Rep1: b > a,R2: a > a > $o,Abs2: a > b,Rep2: b > a,R3: ( c > c ) > ( c > c ) > $o,Abs3: ( c > c ) > d > d,Rep3: ( d > d ) > c > c] :
% 3.04/1.62 ( ( quotient3_a_b @ R1 @ Abs1 @ Rep1 )
% 3.04/1.62 => ( ( quotient3_a_b @ R2 @ Abs2 @ Rep2 )
% 3.04/1.62 => ( ( quotient3_c_c_d_d @ R3 @ Abs3 @ Rep3 )
% 3.04/1.62 => ( ( map_fu981964822_b_d_d @ ( map_fun_a_b_d_d_c_c @ Abs2 @ Rep3 ) @ ( map_fu1569200227_b_d_d @ ( map_fun_a_b_b_a @ Abs1 @ Rep2 ) @ ( map_fun_b_a_c_c_d_d @ Rep1 @ Abs3 ) ) @ comp_a_c_c_a )
% 3.04/1.62 = comp_b_d_d_b ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_304_o__prs_I1_J,axiom,
% 3.04/1.62 ! [R1: a > a > $o,Abs1: a > a,Rep1: a > a,R2: a > a > $o,Abs2: a > a,Rep2: a > a,R3: ( c > c ) > ( c > c ) > $o,Abs3: ( c > c ) > c > c,Rep3: ( c > c ) > c > c] :
% 3.04/1.62 ( ( quotient3_a_a @ R1 @ Abs1 @ Rep1 )
% 3.04/1.62 => ( ( quotient3_a_a @ R2 @ Abs2 @ Rep2 )
% 3.04/1.62 => ( ( quotient3_c_c_c_c @ R3 @ Abs3 @ Rep3 )
% 3.04/1.62 => ( ( map_fu676564502_a_c_c @ ( map_fun_a_a_c_c_c_c @ Abs2 @ Rep3 ) @ ( map_fu961723106_a_c_c @ ( map_fun_a_a_a_a @ Abs1 @ Rep2 ) @ ( map_fun_a_a_c_c_c_c @ Rep1 @ Abs3 ) ) @ comp_a_c_c_a )
% 3.04/1.62 = comp_a_c_c_a ) ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_305_map__fun_Ocompositionality,axiom,
% 3.04/1.62 ! [F: b > b,G: b > d > d,H: b > d > d,I: b > b,Fun: ( d > d ) > b] :
% 3.04/1.62 ( ( map_fun_b_b_b_d_d @ F @ G @ ( map_fun_b_d_d_b_b @ H @ I @ Fun ) )
% 3.04/1.62 = ( map_fun_b_d_d_b_d_d @ ( comp_b_d_d_b @ H @ F ) @ ( comp_b_d_d_b @ G @ I ) @ Fun ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_306_map__fun_Ocompositionality,axiom,
% 3.04/1.62 ! [F: b > b,G: a > c > c,H: b > d > d,I: a > a,Fun: ( d > d ) > a] :
% 3.04/1.62 ( ( map_fun_b_b_a_c_c @ F @ G @ ( map_fun_b_d_d_a_a @ H @ I @ Fun ) )
% 3.04/1.62 = ( map_fun_b_d_d_a_c_c @ ( comp_b_d_d_b @ H @ F ) @ ( comp_a_c_c_a @ G @ I ) @ Fun ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_307_map__fun_Ocompositionality,axiom,
% 3.04/1.62 ! [F: a > a,G: b > d > d,H: a > c > c,I: b > b,Fun: ( c > c ) > b] :
% 3.04/1.62 ( ( map_fun_a_a_b_d_d @ F @ G @ ( map_fun_a_c_c_b_b @ H @ I @ Fun ) )
% 3.04/1.62 = ( map_fun_a_c_c_b_d_d @ ( comp_a_c_c_a @ H @ F ) @ ( comp_b_d_d_b @ G @ I ) @ Fun ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_308_map__fun_Ocompositionality,axiom,
% 3.04/1.62 ! [F: a > a,G: a > c > c,H: a > c > c,I: a > a,Fun: ( c > c ) > a] :
% 3.04/1.62 ( ( map_fun_a_a_a_c_c @ F @ G @ ( map_fun_a_c_c_a_a @ H @ I @ Fun ) )
% 3.04/1.62 = ( map_fun_a_c_c_a_c_c @ ( comp_a_c_c_a @ H @ F ) @ ( comp_a_c_c_a @ G @ I ) @ Fun ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_309_map__fun_Ocomp,axiom,
% 3.04/1.62 ! [F: b > b,G: b > d > d,H: b > d > d,I: b > b] :
% 3.04/1.62 ( ( comp_b_b_b_d_d_d_d_b @ ( map_fun_b_b_b_d_d @ F @ G ) @ ( map_fun_b_d_d_b_b @ H @ I ) )
% 3.04/1.62 = ( map_fun_b_d_d_b_d_d @ ( comp_b_d_d_b @ H @ F ) @ ( comp_b_d_d_b @ G @ I ) ) ) ).
% 3.04/1.62
% 3.04/1.62 thf(fact_310_map__fun_Ocomp,axiom,
% 3.04/1.63 ! [F: b > b,G: a > c > c,H: b > d > d,I: a > a] :
% 3.04/1.63 ( ( comp_b_a_b_c_c_d_d_a @ ( map_fun_b_b_a_c_c @ F @ G ) @ ( map_fun_b_d_d_a_a @ H @ I ) )
% 3.04/1.63 = ( map_fun_b_d_d_a_c_c @ ( comp_b_d_d_b @ H @ F ) @ ( comp_a_c_c_a @ G @ I ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_311_map__fun_Ocomp,axiom,
% 3.04/1.63 ! [F: a > a,G: b > d > d,H: a > c > c,I: b > b] :
% 3.04/1.63 ( ( comp_a_b_a_d_d_c_c_b @ ( map_fun_a_a_b_d_d @ F @ G ) @ ( map_fun_a_c_c_b_b @ H @ I ) )
% 3.04/1.63 = ( map_fun_a_c_c_b_d_d @ ( comp_a_c_c_a @ H @ F ) @ ( comp_b_d_d_b @ G @ I ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_312_map__fun_Ocomp,axiom,
% 3.04/1.63 ! [F: a > a,G: a > c > c,H: a > c > c,I: a > a] :
% 3.04/1.63 ( ( comp_a_a_a_c_c_c_c_a @ ( map_fun_a_a_a_c_c @ F @ G ) @ ( map_fun_a_c_c_a_a @ H @ I ) )
% 3.04/1.63 = ( map_fun_a_c_c_a_c_c @ ( comp_a_c_c_a @ H @ F ) @ ( comp_a_c_c_a @ G @ I ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_313_map__fun__def,axiom,
% 3.04/1.63 ( map_fun_b_b_b_d_d
% 3.04/1.63 = ( ^ [F2: b > b,G2: b > d > d,H2: b > b] : ( comp_b_d_d_b @ ( comp_b_d_d_b @ G2 @ H2 ) @ F2 ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_314_map__fun__def,axiom,
% 3.04/1.63 ( map_fun_a_a_a_c_c
% 3.04/1.63 = ( ^ [F2: a > a,G2: a > c > c,H2: a > a] : ( comp_a_c_c_a @ ( comp_a_c_c_a @ G2 @ H2 ) @ F2 ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_315_monotone__parametric,axiom,
% 3.04/1.63 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o] :
% 3.04/1.63 ( ( bi_total_a_b @ A )
% 3.04/1.63 => ( bNF_re2129955100_d_d_o
% 3.04/1.63 @ ( bNF_re418251421_o_b_o @ A
% 3.04/1.63 @ ( bNF_rel_fun_a_b_o_o @ A
% 3.04/1.63 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.63 @ ( bNF_re674980784_d_d_o
% 3.04/1.63 @ ( bNF_re781155241_d_d_o @ B
% 3.04/1.63 @ ( bNF_re857878889_d_o_o @ B
% 3.04/1.63 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.63 @ ( bNF_re1501709470_d_o_o @ ( bNF_re802603882_c_d_d @ A @ B )
% 3.04/1.63 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.63 @ comple1702356924_a_c_c
% 3.04/1.63 @ comple61207421_b_d_d ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_316_monotone__parametric,axiom,
% 3.04/1.63 ! [A: c > d > $o,B: c > d > $o] :
% 3.04/1.63 ( ( bi_total_c_d @ A )
% 3.04/1.63 => ( bNF_re921674337_d_d_o
% 3.04/1.63 @ ( bNF_re391428377_o_d_o @ A
% 3.04/1.63 @ ( bNF_rel_fun_c_d_o_o @ A
% 3.04/1.63 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.63 @ ( bNF_re27482973_d_d_o
% 3.04/1.63 @ ( bNF_re391428377_o_d_o @ B
% 3.04/1.63 @ ( bNF_rel_fun_c_d_o_o @ B
% 3.04/1.63 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.63 @ ( bNF_re857878889_d_o_o @ ( bNF_rel_fun_c_d_c_d @ A @ B )
% 3.04/1.63 @ ^ [Y4: $o,Z2: $o] : ( Y4 = Z2 ) ) )
% 3.04/1.63 @ comple787379047ne_c_c
% 3.04/1.63 @ comple1615148455ne_d_d ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_317_OOO__quotient3,axiom,
% 3.04/1.63 ! [R1: ( d > d ) > ( d > d ) > $o,Abs1: ( d > d ) > b,Rep1: b > d > d,R2: b > b > $o,Abs2: b > b,Rep2: b > b,R23: ( d > d ) > ( d > d ) > $o] :
% 3.04/1.63 ( ( quotient3_d_d_b @ R1 @ Abs1 @ Rep1 )
% 3.04/1.63 => ( ( quotient3_b_b @ R2 @ Abs2 @ Rep2 )
% 3.04/1.63 => ( ! [X2: d > d,Y2: d > d] :
% 3.04/1.63 ( ( R23 @ X2 @ Y2 )
% 3.04/1.63 => ( ( R1 @ X2 @ X2 )
% 3.04/1.63 => ( ( R1 @ Y2 @ Y2 )
% 3.04/1.63 => ( R2 @ ( Abs1 @ X2 ) @ ( Abs1 @ Y2 ) ) ) ) )
% 3.04/1.63 => ( ! [X2: b,Y2: b] :
% 3.04/1.63 ( ( R2 @ X2 @ Y2 )
% 3.04/1.63 => ( R23 @ ( Rep1 @ X2 ) @ ( Rep1 @ Y2 ) ) )
% 3.04/1.63 => ( quotient3_d_d_b @ ( relcompp_d_d_d_d_d_d @ R1 @ ( relcompp_d_d_d_d_d_d @ R23 @ R1 ) ) @ ( comp_b_b_d_d @ Abs2 @ Abs1 ) @ ( comp_b_d_d_b @ Rep1 @ Rep2 ) ) ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_318_OOO__quotient3,axiom,
% 3.04/1.63 ! [R1: ( c > c ) > ( c > c ) > $o,Abs1: ( c > c ) > a,Rep1: a > c > c,R2: a > a > $o,Abs2: a > a,Rep2: a > a,R23: ( c > c ) > ( c > c ) > $o] :
% 3.04/1.63 ( ( quotient3_c_c_a @ R1 @ Abs1 @ Rep1 )
% 3.04/1.63 => ( ( quotient3_a_a @ R2 @ Abs2 @ Rep2 )
% 3.04/1.63 => ( ! [X2: c > c,Y2: c > c] :
% 3.04/1.63 ( ( R23 @ X2 @ Y2 )
% 3.04/1.63 => ( ( R1 @ X2 @ X2 )
% 3.04/1.63 => ( ( R1 @ Y2 @ Y2 )
% 3.04/1.63 => ( R2 @ ( Abs1 @ X2 ) @ ( Abs1 @ Y2 ) ) ) ) )
% 3.04/1.63 => ( ! [X2: a,Y2: a] :
% 3.04/1.63 ( ( R2 @ X2 @ Y2 )
% 3.04/1.63 => ( R23 @ ( Rep1 @ X2 ) @ ( Rep1 @ Y2 ) ) )
% 3.04/1.63 => ( quotient3_c_c_a @ ( relcompp_c_c_c_c_c_c @ R1 @ ( relcompp_c_c_c_c_c_c @ R23 @ R1 ) ) @ ( comp_a_a_c_c @ Abs2 @ Abs1 ) @ ( comp_a_c_c_a @ Rep1 @ Rep2 ) ) ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_319_OOO__quotient3,axiom,
% 3.04/1.63 ! [R1: b > b > $o,Abs1: b > b,Rep1: b > b,R2: b > b > $o,Abs2: b > d > d,Rep2: ( d > d ) > b,R23: b > b > $o] :
% 3.04/1.63 ( ( quotient3_b_b @ R1 @ Abs1 @ Rep1 )
% 3.04/1.63 => ( ( quotient3_b_d_d @ R2 @ Abs2 @ Rep2 )
% 3.04/1.63 => ( ! [X2: b,Y2: b] :
% 3.04/1.63 ( ( R23 @ X2 @ Y2 )
% 3.04/1.63 => ( ( R1 @ X2 @ X2 )
% 3.04/1.63 => ( ( R1 @ Y2 @ Y2 )
% 3.04/1.63 => ( R2 @ ( Abs1 @ X2 ) @ ( Abs1 @ Y2 ) ) ) ) )
% 3.04/1.63 => ( ! [X2: b,Y2: b] :
% 3.04/1.63 ( ( R2 @ X2 @ Y2 )
% 3.04/1.63 => ( R23 @ ( Rep1 @ X2 ) @ ( Rep1 @ Y2 ) ) )
% 3.04/1.63 => ( quotient3_b_d_d @ ( relcompp_b_b_b @ R1 @ ( relcompp_b_b_b @ R23 @ R1 ) ) @ ( comp_b_d_d_b @ Abs2 @ Abs1 ) @ ( comp_b_b_d_d @ Rep1 @ Rep2 ) ) ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_320_OOO__quotient3,axiom,
% 3.04/1.63 ! [R1: a > a > $o,Abs1: a > a,Rep1: a > a,R2: a > a > $o,Abs2: a > c > c,Rep2: ( c > c ) > a,R23: a > a > $o] :
% 3.04/1.63 ( ( quotient3_a_a @ R1 @ Abs1 @ Rep1 )
% 3.04/1.63 => ( ( quotient3_a_c_c @ R2 @ Abs2 @ Rep2 )
% 3.04/1.63 => ( ! [X2: a,Y2: a] :
% 3.04/1.63 ( ( R23 @ X2 @ Y2 )
% 3.04/1.63 => ( ( R1 @ X2 @ X2 )
% 3.04/1.63 => ( ( R1 @ Y2 @ Y2 )
% 3.04/1.63 => ( R2 @ ( Abs1 @ X2 ) @ ( Abs1 @ Y2 ) ) ) ) )
% 3.04/1.63 => ( ! [X2: a,Y2: a] :
% 3.04/1.63 ( ( R2 @ X2 @ Y2 )
% 3.04/1.63 => ( R23 @ ( Rep1 @ X2 ) @ ( Rep1 @ Y2 ) ) )
% 3.04/1.63 => ( quotient3_a_c_c @ ( relcompp_a_a_a @ R1 @ ( relcompp_a_a_a @ R23 @ R1 ) ) @ ( comp_a_c_c_a @ Abs2 @ Abs1 ) @ ( comp_a_a_c_c @ Rep1 @ Rep2 ) ) ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_321_OOO__eq__quotient3,axiom,
% 3.04/1.63 ! [R1: ( d > d ) > ( d > d ) > $o,Abs1: ( d > d ) > b,Rep1: b > d > d,Abs2: b > b,Rep2: b > b] :
% 3.04/1.63 ( ( quotient3_d_d_b @ R1 @ Abs1 @ Rep1 )
% 3.04/1.63 => ( ( quotient3_b_b
% 3.04/1.63 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 3.04/1.63 @ Abs2
% 3.04/1.63 @ Rep2 )
% 3.04/1.63 => ( quotient3_d_d_b
% 3.04/1.63 @ ( relcompp_d_d_d_d_d_d @ R1
% 3.04/1.63 @ ( relcompp_d_d_d_d_d_d
% 3.04/1.63 @ ^ [Y4: d > d,Z2: d > d] : ( Y4 = Z2 )
% 3.04/1.63 @ R1 ) )
% 3.04/1.63 @ ( comp_b_b_d_d @ Abs2 @ Abs1 )
% 3.04/1.63 @ ( comp_b_d_d_b @ Rep1 @ Rep2 ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_322_OOO__eq__quotient3,axiom,
% 3.04/1.63 ! [R1: ( c > c ) > ( c > c ) > $o,Abs1: ( c > c ) > a,Rep1: a > c > c,Abs2: a > a,Rep2: a > a] :
% 3.04/1.63 ( ( quotient3_c_c_a @ R1 @ Abs1 @ Rep1 )
% 3.04/1.63 => ( ( quotient3_a_a
% 3.04/1.63 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.63 @ Abs2
% 3.04/1.63 @ Rep2 )
% 3.04/1.63 => ( quotient3_c_c_a
% 3.04/1.63 @ ( relcompp_c_c_c_c_c_c @ R1
% 3.04/1.63 @ ( relcompp_c_c_c_c_c_c
% 3.04/1.63 @ ^ [Y4: c > c,Z2: c > c] : ( Y4 = Z2 )
% 3.04/1.63 @ R1 ) )
% 3.04/1.63 @ ( comp_a_a_c_c @ Abs2 @ Abs1 )
% 3.04/1.63 @ ( comp_a_c_c_a @ Rep1 @ Rep2 ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_323_OOO__eq__quotient3,axiom,
% 3.04/1.63 ! [R1: b > b > $o,Abs1: b > b,Rep1: b > b,Abs2: b > d > d,Rep2: ( d > d ) > b] :
% 3.04/1.63 ( ( quotient3_b_b @ R1 @ Abs1 @ Rep1 )
% 3.04/1.63 => ( ( quotient3_b_d_d
% 3.04/1.63 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 3.04/1.63 @ Abs2
% 3.04/1.63 @ Rep2 )
% 3.04/1.63 => ( quotient3_b_d_d
% 3.04/1.63 @ ( relcompp_b_b_b @ R1
% 3.04/1.63 @ ( relcompp_b_b_b
% 3.04/1.63 @ ^ [Y4: b,Z2: b] : ( Y4 = Z2 )
% 3.04/1.63 @ R1 ) )
% 3.04/1.63 @ ( comp_b_d_d_b @ Abs2 @ Abs1 )
% 3.04/1.63 @ ( comp_b_b_d_d @ Rep1 @ Rep2 ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_324_OOO__eq__quotient3,axiom,
% 3.04/1.63 ! [R1: a > a > $o,Abs1: a > a,Rep1: a > a,Abs2: a > c > c,Rep2: ( c > c ) > a] :
% 3.04/1.63 ( ( quotient3_a_a @ R1 @ Abs1 @ Rep1 )
% 3.04/1.63 => ( ( quotient3_a_c_c
% 3.04/1.63 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.63 @ Abs2
% 3.04/1.63 @ Rep2 )
% 3.04/1.63 => ( quotient3_a_c_c
% 3.04/1.63 @ ( relcompp_a_a_a @ R1
% 3.04/1.63 @ ( relcompp_a_a_a
% 3.04/1.63 @ ^ [Y4: a,Z2: a] : ( Y4 = Z2 )
% 3.04/1.63 @ R1 ) )
% 3.04/1.63 @ ( comp_a_c_c_a @ Abs2 @ Abs1 )
% 3.04/1.63 @ ( comp_a_a_c_c @ Rep1 @ Rep2 ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_325_rev__implies__def,axiom,
% 3.04/1.63 ( rev_implies
% 3.04/1.63 = ( ^ [X3: $o,Y3: $o] :
% 3.04/1.63 ( Y3
% 3.04/1.63 => X3 ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_326_pos__fun__distr,axiom,
% 3.04/1.63 ! [R: a > a > $o,S2: ( c > c ) > ( c > c ) > $o,R5: a > b > $o,S4: ( c > c ) > ( d > d ) > $o] : ( ord_le469275661_d_d_o @ ( relcom1813708708_b_d_d @ ( bNF_re1143700905_c_c_c @ R @ S2 ) @ ( bNF_re802603882_c_d_d @ R5 @ S4 ) ) @ ( bNF_re802603882_c_d_d @ ( relcompp_a_a_b @ R @ R5 ) @ ( relcompp_c_c_c_c_d_d @ S2 @ S4 ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_327_pos__fun__distr,axiom,
% 3.04/1.63 ! [R: c > c > $o,S2: c > c > $o,R5: c > d > $o,S4: c > d > $o] : ( ord_le1338099484_d_d_o @ ( relcompp_c_c_c_c_d_d @ ( bNF_rel_fun_c_c_c_c @ R @ S2 ) @ ( bNF_rel_fun_c_d_c_d @ R5 @ S4 ) ) @ ( bNF_rel_fun_c_d_c_d @ ( relcompp_c_c_d @ R @ R5 ) @ ( relcompp_c_c_d @ S2 @ S4 ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_328_pos__fun__distr,axiom,
% 3.04/1.63 ! [R: a > b > $o,S2: ( c > c ) > ( d > d ) > $o,R5: b > b > $o,S4: ( d > d ) > ( d > d ) > $o] : ( ord_le469275661_d_d_o @ ( relcom1887247779_b_d_d @ ( bNF_re802603882_c_d_d @ R @ S2 ) @ ( bNF_re1844863849_d_d_d @ R5 @ S4 ) ) @ ( bNF_re802603882_c_d_d @ ( relcompp_a_b_b @ R @ R5 ) @ ( relcompp_c_c_d_d_d_d @ S2 @ S4 ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_329_pos__fun__distr,axiom,
% 3.04/1.63 ! [R: c > d > $o,S2: c > d > $o,R5: d > d > $o,S4: d > d > $o] : ( ord_le1338099484_d_d_o @ ( relcompp_c_c_d_d_d_d @ ( bNF_rel_fun_c_d_c_d @ R @ S2 ) @ ( bNF_rel_fun_d_d_d_d @ R5 @ S4 ) ) @ ( bNF_rel_fun_c_d_c_d @ ( relcompp_c_d_d @ R @ R5 ) @ ( relcompp_c_d_d @ S2 @ S4 ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_330_fun__mono,axiom,
% 3.04/1.63 ! [C: a > b > $o,A: a > b > $o,B: ( c > c ) > ( d > d ) > $o,D2: ( c > c ) > ( d > d ) > $o] :
% 3.04/1.63 ( ( ord_less_eq_a_b_o @ C @ A )
% 3.04/1.63 => ( ( ord_le1338099484_d_d_o @ B @ D2 )
% 3.04/1.63 => ( ord_le469275661_d_d_o @ ( bNF_re802603882_c_d_d @ A @ B ) @ ( bNF_re802603882_c_d_d @ C @ D2 ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_331_fun__mono,axiom,
% 3.04/1.63 ! [C: c > d > $o,A: c > d > $o,B: c > d > $o,D2: c > d > $o] :
% 3.04/1.63 ( ( ord_less_eq_c_d_o @ C @ A )
% 3.04/1.63 => ( ( ord_less_eq_c_d_o @ B @ D2 )
% 3.04/1.63 => ( ord_le1338099484_d_d_o @ ( bNF_rel_fun_c_d_c_d @ A @ B ) @ ( bNF_rel_fun_c_d_c_d @ C @ D2 ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_332_neg__fun__distr1,axiom,
% 3.04/1.63 ! [R: a > a > $o,R5: a > b > $o,S2: ( c > c ) > ( c > c ) > $o,S4: ( c > c ) > ( d > d ) > $o] :
% 3.04/1.63 ( ( left_unique_a_a @ R )
% 3.04/1.63 => ( ( right_total_a_a @ R )
% 3.04/1.63 => ( ( right_unique_a_b @ R5 )
% 3.04/1.63 => ( ( left_total_a_b @ R5 )
% 3.04/1.63 => ( ord_le469275661_d_d_o @ ( bNF_re802603882_c_d_d @ ( relcompp_a_a_b @ R @ R5 ) @ ( relcompp_c_c_c_c_d_d @ S2 @ S4 ) ) @ ( relcom1813708708_b_d_d @ ( bNF_re1143700905_c_c_c @ R @ S2 ) @ ( bNF_re802603882_c_d_d @ R5 @ S4 ) ) ) ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_333_neg__fun__distr1,axiom,
% 3.04/1.63 ! [R: a > b > $o,R5: b > b > $o,S2: ( c > c ) > ( d > d ) > $o,S4: ( d > d ) > ( d > d ) > $o] :
% 3.04/1.63 ( ( left_unique_a_b @ R )
% 3.04/1.63 => ( ( right_total_a_b @ R )
% 3.04/1.63 => ( ( right_unique_b_b @ R5 )
% 3.04/1.63 => ( ( left_total_b_b @ R5 )
% 3.04/1.63 => ( ord_le469275661_d_d_o @ ( bNF_re802603882_c_d_d @ ( relcompp_a_b_b @ R @ R5 ) @ ( relcompp_c_c_d_d_d_d @ S2 @ S4 ) ) @ ( relcom1887247779_b_d_d @ ( bNF_re802603882_c_d_d @ R @ S2 ) @ ( bNF_re1844863849_d_d_d @ R5 @ S4 ) ) ) ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_334_neg__fun__distr1,axiom,
% 3.04/1.63 ! [R: c > c > $o,R5: c > d > $o,S2: c > c > $o,S4: c > d > $o] :
% 3.04/1.63 ( ( left_unique_c_c @ R )
% 3.04/1.63 => ( ( right_total_c_c @ R )
% 3.04/1.63 => ( ( right_unique_c_d @ R5 )
% 3.04/1.63 => ( ( left_total_c_d @ R5 )
% 3.04/1.63 => ( ord_le1338099484_d_d_o @ ( bNF_rel_fun_c_d_c_d @ ( relcompp_c_c_d @ R @ R5 ) @ ( relcompp_c_c_d @ S2 @ S4 ) ) @ ( relcompp_c_c_c_c_d_d @ ( bNF_rel_fun_c_c_c_c @ R @ S2 ) @ ( bNF_rel_fun_c_d_c_d @ R5 @ S4 ) ) ) ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_335_neg__fun__distr1,axiom,
% 3.04/1.63 ! [R: c > d > $o,R5: d > d > $o,S2: c > d > $o,S4: d > d > $o] :
% 3.04/1.63 ( ( left_unique_c_d @ R )
% 3.04/1.63 => ( ( right_total_c_d @ R )
% 3.04/1.63 => ( ( right_unique_d_d @ R5 )
% 3.04/1.63 => ( ( left_total_d_d @ R5 )
% 3.04/1.63 => ( ord_le1338099484_d_d_o @ ( bNF_rel_fun_c_d_c_d @ ( relcompp_c_d_d @ R @ R5 ) @ ( relcompp_c_d_d @ S2 @ S4 ) ) @ ( relcompp_c_c_d_d_d_d @ ( bNF_rel_fun_c_d_c_d @ R @ S2 ) @ ( bNF_rel_fun_d_d_d_d @ R5 @ S4 ) ) ) ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_336_right__unique__fun,axiom,
% 3.04/1.63 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o] :
% 3.04/1.63 ( ( right_total_a_b @ A )
% 3.04/1.63 => ( ( right_unique_c_c_d_d @ B )
% 3.04/1.63 => ( right_2142487_b_d_d @ ( bNF_re802603882_c_d_d @ A @ B ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_337_right__unique__fun,axiom,
% 3.04/1.63 ! [A: c > d > $o,B: c > d > $o] :
% 3.04/1.63 ( ( right_total_c_d @ A )
% 3.04/1.63 => ( ( right_unique_c_d @ B )
% 3.04/1.63 => ( right_unique_c_c_d_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_338_left__unique__fun,axiom,
% 3.04/1.63 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o] :
% 3.04/1.63 ( ( left_total_a_b @ A )
% 3.04/1.63 => ( ( left_unique_c_c_d_d @ B )
% 3.04/1.63 => ( left_u1654071760_b_d_d @ ( bNF_re802603882_c_d_d @ A @ B ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_339_left__unique__fun,axiom,
% 3.04/1.63 ! [A: c > d > $o,B: c > d > $o] :
% 3.04/1.63 ( ( left_total_c_d @ A )
% 3.04/1.63 => ( ( left_unique_c_d @ B )
% 3.04/1.63 => ( left_unique_c_c_d_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_340_right__total__fun,axiom,
% 3.04/1.63 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o] :
% 3.04/1.63 ( ( right_unique_a_b @ A )
% 3.04/1.63 => ( ( right_total_c_c_d_d @ B )
% 3.04/1.63 => ( right_386984928_b_d_d @ ( bNF_re802603882_c_d_d @ A @ B ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_341_right__total__fun,axiom,
% 3.04/1.63 ! [A: c > d > $o,B: c > d > $o] :
% 3.04/1.63 ( ( right_unique_c_d @ A )
% 3.04/1.63 => ( ( right_total_c_d @ B )
% 3.04/1.63 => ( right_total_c_c_d_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_342_left__total__fun,axiom,
% 3.04/1.63 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o] :
% 3.04/1.63 ( ( left_unique_a_b @ A )
% 3.04/1.63 => ( ( left_total_c_c_d_d @ B )
% 3.04/1.63 => ( left_t1993719015_b_d_d @ ( bNF_re802603882_c_d_d @ A @ B ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_343_left__total__fun,axiom,
% 3.04/1.63 ! [A: c > d > $o,B: c > d > $o] :
% 3.04/1.63 ( ( left_unique_c_d @ A )
% 3.04/1.63 => ( ( left_total_c_d @ B )
% 3.04/1.63 => ( left_total_c_c_d_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_344_neg__fun__distr2,axiom,
% 3.04/1.63 ! [R5: a > b > $o,S4: ( c > c ) > ( d > d ) > $o,R: a > a > $o,S2: ( c > c ) > ( c > c ) > $o] :
% 3.04/1.63 ( ( right_unique_a_b @ R5 )
% 3.04/1.63 => ( ( left_total_a_b @ R5 )
% 3.04/1.63 => ( ( left_unique_c_c_d_d @ S4 )
% 3.04/1.63 => ( ( right_total_c_c_d_d @ S4 )
% 3.04/1.63 => ( ord_le469275661_d_d_o @ ( bNF_re802603882_c_d_d @ ( relcompp_a_a_b @ R @ R5 ) @ ( relcompp_c_c_c_c_d_d @ S2 @ S4 ) ) @ ( relcom1813708708_b_d_d @ ( bNF_re1143700905_c_c_c @ R @ S2 ) @ ( bNF_re802603882_c_d_d @ R5 @ S4 ) ) ) ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_345_neg__fun__distr2,axiom,
% 3.04/1.63 ! [R5: b > b > $o,S4: ( d > d ) > ( d > d ) > $o,R: a > b > $o,S2: ( c > c ) > ( d > d ) > $o] :
% 3.04/1.63 ( ( right_unique_b_b @ R5 )
% 3.04/1.63 => ( ( left_total_b_b @ R5 )
% 3.04/1.63 => ( ( left_unique_d_d_d_d @ S4 )
% 3.04/1.63 => ( ( right_total_d_d_d_d @ S4 )
% 3.04/1.63 => ( ord_le469275661_d_d_o @ ( bNF_re802603882_c_d_d @ ( relcompp_a_b_b @ R @ R5 ) @ ( relcompp_c_c_d_d_d_d @ S2 @ S4 ) ) @ ( relcom1887247779_b_d_d @ ( bNF_re802603882_c_d_d @ R @ S2 ) @ ( bNF_re1844863849_d_d_d @ R5 @ S4 ) ) ) ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_346_neg__fun__distr2,axiom,
% 3.04/1.63 ! [R5: c > d > $o,S4: c > d > $o,R: c > c > $o,S2: c > c > $o] :
% 3.04/1.63 ( ( right_unique_c_d @ R5 )
% 3.04/1.63 => ( ( left_total_c_d @ R5 )
% 3.04/1.63 => ( ( left_unique_c_d @ S4 )
% 3.04/1.63 => ( ( right_total_c_d @ S4 )
% 3.04/1.63 => ( ord_le1338099484_d_d_o @ ( bNF_rel_fun_c_d_c_d @ ( relcompp_c_c_d @ R @ R5 ) @ ( relcompp_c_c_d @ S2 @ S4 ) ) @ ( relcompp_c_c_c_c_d_d @ ( bNF_rel_fun_c_c_c_c @ R @ S2 ) @ ( bNF_rel_fun_c_d_c_d @ R5 @ S4 ) ) ) ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_347_neg__fun__distr2,axiom,
% 3.04/1.63 ! [R5: d > d > $o,S4: d > d > $o,R: c > d > $o,S2: c > d > $o] :
% 3.04/1.63 ( ( right_unique_d_d @ R5 )
% 3.04/1.63 => ( ( left_total_d_d @ R5 )
% 3.04/1.63 => ( ( left_unique_d_d @ S4 )
% 3.04/1.63 => ( ( right_total_d_d @ S4 )
% 3.04/1.63 => ( ord_le1338099484_d_d_o @ ( bNF_rel_fun_c_d_c_d @ ( relcompp_c_d_d @ R @ R5 ) @ ( relcompp_c_d_d @ S2 @ S4 ) ) @ ( relcompp_c_c_d_d_d_d @ ( bNF_rel_fun_c_d_c_d @ R @ S2 ) @ ( bNF_rel_fun_d_d_d_d @ R5 @ S4 ) ) ) ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_348_bi__unique__fun,axiom,
% 3.04/1.63 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o] :
% 3.04/1.63 ( ( bi_total_a_b @ A )
% 3.04/1.63 => ( ( bi_unique_c_c_d_d @ B )
% 3.04/1.63 => ( bi_uni844770768_b_d_d @ ( bNF_re802603882_c_d_d @ A @ B ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_349_bi__unique__fun,axiom,
% 3.04/1.63 ! [A: c > d > $o,B: c > d > $o] :
% 3.04/1.63 ( ( bi_total_c_d @ A )
% 3.04/1.63 => ( ( bi_unique_c_d @ B )
% 3.04/1.63 => ( bi_unique_c_c_d_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_350_bi__total__fun,axiom,
% 3.04/1.63 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o] :
% 3.04/1.63 ( ( bi_unique_a_b @ A )
% 3.04/1.63 => ( ( bi_total_c_c_d_d @ B )
% 3.04/1.63 => ( bi_total_a_c_c_b_d_d @ ( bNF_re802603882_c_d_d @ A @ B ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_351_bi__total__fun,axiom,
% 3.04/1.63 ! [A: c > d > $o,B: c > d > $o] :
% 3.04/1.63 ( ( bi_unique_c_d @ A )
% 3.04/1.63 => ( ( bi_total_c_d @ B )
% 3.04/1.63 => ( bi_total_c_c_d_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) ) ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_352_fun__upd__transfer,axiom,
% 3.04/1.63 ! [A: a > b > $o,B: ( c > c ) > ( d > d ) > $o] :
% 3.04/1.63 ( ( bi_unique_a_b @ A )
% 3.04/1.63 => ( bNF_re1424479610_b_d_d @ ( bNF_re802603882_c_d_d @ A @ B ) @ ( bNF_re1573878111_b_d_d @ A @ ( bNF_re1145286186_b_d_d @ B @ ( bNF_re802603882_c_d_d @ A @ B ) ) ) @ fun_upd_a_c_c @ fun_upd_b_d_d ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(fact_353_fun__upd__transfer,axiom,
% 3.04/1.63 ! [A: c > d > $o,B: c > d > $o] :
% 3.04/1.63 ( ( bi_unique_c_d @ A )
% 3.04/1.63 => ( bNF_re1941803873_d_d_d @ ( bNF_rel_fun_c_d_c_d @ A @ B ) @ ( bNF_re822780063_d_d_d @ A @ ( bNF_re1972258794_c_d_d @ B @ ( bNF_rel_fun_c_d_c_d @ A @ B ) ) ) @ fun_upd_c_c @ fun_upd_d_d ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(help_If_2_1_If_001tf__a_T,axiom,
% 3.04/1.63 ! [X: a,Y: a] :
% 3.04/1.63 ( ( if_a @ $false @ X @ Y )
% 3.04/1.63 = Y ) ).
% 3.04/1.63
% 3.04/1.63 thf(help_If_1_1_If_001tf__a_T,axiom,
% 3.04/1.63 ! [X: a,Y: a] :
% 3.04/1.63 ( ( if_a @ $true @ X @ Y )
% 3.04/1.63 = X ) ).
% 3.04/1.63
% 3.04/1.63 thf(help_If_2_1_If_001tf__b_T,axiom,
% 3.04/1.63 ! [X: b,Y: b] :
% 3.04/1.63 ( ( if_b @ $false @ X @ Y )
% 3.04/1.63 = Y ) ).
% 3.04/1.63
% 3.04/1.63 thf(help_If_1_1_If_001tf__b_T,axiom,
% 3.04/1.63 ! [X: b,Y: b] :
% 3.04/1.63 ( ( if_b @ $true @ X @ Y )
% 3.04/1.63 = X ) ).
% 3.04/1.63
% 3.04/1.63 thf(help_If_2_1_If_001tf__c_T,axiom,
% 3.04/1.63 ! [X: c,Y: c] :
% 3.04/1.63 ( ( if_c @ $false @ X @ Y )
% 3.04/1.63 = Y ) ).
% 3.04/1.63
% 3.04/1.63 thf(help_If_1_1_If_001tf__c_T,axiom,
% 3.04/1.63 ! [X: c,Y: c] :
% 3.04/1.63 ( ( if_c @ $true @ X @ Y )
% 3.04/1.63 = X ) ).
% 3.04/1.63
% 3.04/1.63 thf(help_If_3_1_If_001tf__d_T,axiom,
% 3.04/1.63 ! [P: $o] :
% 3.04/1.63 ( ( P = $true )
% 3.04/1.63 | ( P = $false ) ) ).
% 3.04/1.63
% 3.04/1.63 thf(help_If_2_1_If_001tf__d_T,axiom,
% 3.04/1.63 ! [X: d,Y: d] :
% 3.04/1.63 ( ( if_d @ $false @ X @ Y )
% 3.04/1.63 = Y ) ).
% 3.04/1.63
% 3.04/1.63 thf(help_If_1_1_If_001tf__d_T,axiom,
% 3.04/1.63 ! [X: d,Y: d] :
% 3.04/1.63 ( ( if_d @ $true @ X @ Y )
% 3.04/1.63 = X ) ).
% 3.04/1.63
% 3.04/1.63 thf(conj_0,conjecture,
% 3.04/1.63 finite746615251te_a_c @ f1 ).
% 3.04/1.63 ------------------------
% 3.04/1.66 % (17173)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/183Mi)
% 3.04/1.66 % (17174)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/4Mi)
% 3.04/1.66 % (17175)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/27Mi)
% 3.04/1.66 % (17176)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/2Mi)
% 3.04/1.66 % (17177)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/2Mi)
% 3.04/1.66 % (17178)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/275Mi)
% 3.04/1.66 % (17179)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/18Mi)
% 3.04/1.67 % (17176)Instruction limit reached!
% 3.04/1.67 % (17176)------------------------------
% 3.04/1.67 % (17176)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.04/1.67 % (17176)Termination reason: Unknown
% 3.04/1.67 % (17176)Termination phase: shuffling
% 3.04/1.67
% 3.04/1.67 % (17176)Memory used [KB]: 1918
% 3.04/1.67 % (17176)Time elapsed: 0.004 s
% 3.04/1.67 % (17176)Instructions burned: 2 (million)
% 3.04/1.67 % (17176)------------------------------
% 3.04/1.67 % (17176)------------------------------
% 3.04/1.67 % (17177)Instruction limit reached!
% 3.04/1.67 % (17177)------------------------------
% 3.04/1.67 % (17177)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.04/1.67 % (17177)Termination reason: Unknown
% 3.04/1.67 % (17177)Termination phase: shuffling
% 3.04/1.67
% 3.04/1.67 % (17177)Memory used [KB]: 1918
% 3.04/1.67 % (17177)Time elapsed: 0.004 s
% 3.04/1.67 % (17177)Instructions burned: 2 (million)
% 3.04/1.67 % (17177)------------------------------
% 3.04/1.67 % (17177)------------------------------
% 3.04/1.67 % (17174)Instruction limit reached!
% 3.04/1.67 % (17174)------------------------------
% 3.04/1.67 % (17174)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.04/1.67 % (17174)Termination reason: Unknown
% 3.04/1.67 % (17174)Termination phase: shuffling
% 3.04/1.67
% 3.04/1.67 % (17174)Memory used [KB]: 1918
% 3.04/1.67 % (17174)Time elapsed: 0.005 s
% 3.04/1.67 % (17174)Instructions burned: 4 (million)
% 3.04/1.67 % (17174)------------------------------
% 3.04/1.67 % (17174)------------------------------
% 3.04/1.68 % (17179)Instruction limit reached!
% 3.04/1.68 % (17179)------------------------------
% 3.04/1.68 % (17179)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.04/1.68 % (17179)Termination reason: Unknown
% 3.04/1.68 % (17179)Termination phase: shuffling
% 3.04/1.68
% 3.04/1.68 % (17179)Memory used [KB]: 2046
% 3.04/1.68 % (17179)Time elapsed: 0.014 s
% 3.04/1.68 % (17179)Instructions burned: 19 (million)
% 3.04/1.68 % (17179)------------------------------
% 3.04/1.68 % (17179)------------------------------
% 3.04/1.68 % (17175)Instruction limit reached!
% 3.04/1.68 % (17175)------------------------------
% 3.04/1.68 % (17175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.04/1.68 % (17175)Termination reason: Unknown
% 3.04/1.68 % (17175)Termination phase: shuffling
% 3.04/1.68
% 3.04/1.68 % (17175)Memory used [KB]: 2046
% 3.04/1.68 % (17175)Time elapsed: 0.019 s
% 3.04/1.68 % (17175)Instructions burned: 27 (million)
% 3.04/1.68 % (17175)------------------------------
% 3.04/1.68 % (17175)------------------------------
% 3.04/1.68 % (17182)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/15Mi)
% 3.04/1.68 % (17180)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/3Mi)
% 3.04/1.68 % (17181)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/37Mi)
% 3.04/1.69 % (17180)Instruction limit reached!
% 3.04/1.69 % (17180)------------------------------
% 3.04/1.69 % (17180)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.04/1.69 % (17180)Termination reason: Unknown
% 3.04/1.69 % (17180)Termination phase: shuffling
% 3.04/1.69
% 3.04/1.69 % (17180)Memory used [KB]: 1918
% 3.04/1.69 % (17180)Time elapsed: 0.005 s
% 3.04/1.69 % (17180)Instructions burned: 4 (million)
% 3.04/1.69 % (17180)------------------------------
% 3.04/1.69 % (17180)------------------------------
% 3.04/1.69 % (17182)Instruction limit reached!
% 3.04/1.69 % (17182)------------------------------
% 3.04/1.69 % (17182)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.04/1.69 % (17182)Termination reason: Unknown
% 3.04/1.69 % (17182)Termination phase: shuffling
% 3.04/1.69
% 3.04/1.69 % (17182)Memory used [KB]: 1918
% 3.04/1.69 % (17182)Time elapsed: 0.008 s
% 3.04/1.69 % (17182)Instructions burned: 15 (million)
% 3.04/1.69 % (17182)------------------------------
% 3.04/1.69 % (17182)------------------------------
% 3.04/1.69 % (17183)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/3Mi)
% 3.04/1.70 % (17183)Instruction limit reached!
% 3.04/1.70 % (17183)------------------------------
% 3.04/1.70 % (17183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.04/1.70 % (17183)Termination reason: Unknown
% 3.04/1.70 % (17183)Termination phase: shuffling
% 3.04/1.70
% 3.04/1.70 % (17183)Memory used [KB]: 1918
% 3.04/1.70 % (17183)Time elapsed: 0.004 s
% 3.04/1.70 % (17183)Instructions burned: 3 (million)
% 3.04/1.70 % (17183)------------------------------
% 3.04/1.70 % (17183)------------------------------
% 3.10/1.70 % (17184)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/1041Mi)
% 3.10/1.70 % (17186)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/16Mi)
% 3.10/1.70 % (17181)Instruction limit reached!
% 3.10/1.70 % (17181)------------------------------
% 3.10/1.70 % (17181)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.10/1.70 % (17181)Termination reason: Unknown
% 3.10/1.70 % (17181)Termination phase: shuffling
% 3.10/1.70
% 3.10/1.70 % (17181)Memory used [KB]: 2558
% 3.10/1.70 % (17181)Time elapsed: 0.021 s
% 3.10/1.70 % (17181)Instructions burned: 37 (million)
% 3.10/1.70 % (17181)------------------------------
% 3.10/1.70 % (17181)------------------------------
% 3.10/1.70 % (17185)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/7Mi)
% 3.10/1.71 % (17186)Instruction limit reached!
% 3.10/1.71 % (17186)------------------------------
% 3.10/1.71 % (17186)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.10/1.71 % (17186)Termination reason: Unknown
% 3.10/1.71 % (17186)Termination phase: shuffling
% 3.10/1.71
% 3.10/1.71 % (17186)Memory used [KB]: 1918
% 3.10/1.71 % (17186)Time elapsed: 0.008 s
% 3.10/1.71 % (17186)Instructions burned: 18 (million)
% 3.10/1.71 % (17186)------------------------------
% 3.10/1.71 % (17186)------------------------------
% 3.10/1.71 % (17185)Instruction limit reached!
% 3.10/1.71 % (17185)------------------------------
% 3.10/1.71 % (17185)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.10/1.71 % (17185)Termination reason: Unknown
% 3.10/1.71 % (17185)Termination phase: shuffling
% 3.10/1.71
% 3.10/1.71 % (17185)Memory used [KB]: 1918
% 3.10/1.71 % (17185)Time elapsed: 0.007 s
% 3.10/1.71 % (17185)Instructions burned: 8 (million)
% 3.10/1.71 % (17185)------------------------------
% 3.10/1.71 % (17185)------------------------------
% 3.10/1.71 % (17173)Instruction limit reached!
% 3.10/1.71 % (17173)------------------------------
% 3.10/1.71 % (17173)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.10/1.71 % (17173)Termination reason: Unknown
% 3.10/1.71 % (17173)Termination phase: Property scanning
% 3.10/1.71
% 3.10/1.71 % (17173)Memory used [KB]: 3454
% 3.10/1.71 % (17173)Time elapsed: 0.055 s
% 3.10/1.71 % (17173)Instructions burned: 183 (million)
% 3.10/1.71 % (17173)------------------------------
% 3.10/1.71 % (17173)------------------------------
% 3.10/1.71 % (17187)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/3Mi)
% 3.10/1.72 % (17187)Instruction limit reached!
% 3.10/1.72 % (17187)------------------------------
% 3.10/1.72 % (17187)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.10/1.72 % (17187)Termination reason: Unknown
% 3.10/1.72 % (17187)Termination phase: shuffling
% 3.10/1.72
% 3.10/1.72 % (17187)Memory used [KB]: 1918
% 3.10/1.72 % (17187)Time elapsed: 0.004 s
% 3.10/1.72 % (17187)Instructions burned: 4 (million)
% 3.10/1.72 % (17187)------------------------------
% 3.10/1.72 % (17187)------------------------------
% 3.10/1.72 % (17189)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/7Mi)
% 3.10/1.72 % (17190)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/3Mi)
% 3.10/1.72 % (17191)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/4Mi)
% 3.10/1.72 % (17189)Instruction limit reached!
% 3.10/1.72 % (17189)------------------------------
% 3.10/1.72 % (17189)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.10/1.72 % (17189)Termination reason: Unknown
% 3.10/1.72 % (17189)Termination phase: shuffling
% 3.10/1.72
% 3.10/1.72 % (17189)Memory used [KB]: 1918
% 3.10/1.72 % (17189)Time elapsed: 0.004 s
% 3.10/1.72 % (17189)Instructions burned: 9 (million)
% 3.10/1.72 % (17189)------------------------------
% 3.10/1.72 % (17189)------------------------------
% 3.10/1.72 % (17188)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/3Mi)
% 3.10/1.72 % (17190)Instruction limit reached!
% 3.10/1.72 % (17190)------------------------------
% 3.10/1.72 % (17190)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.10/1.72 % (17190)Termination reason: Unknown
% 3.10/1.72 % (17190)Termination phase: shuffling
% 3.10/1.72
% 3.10/1.72 % (17190)Memory used [KB]: 1918
% 3.10/1.72 % (17190)Time elapsed: 0.003 s
% 3.10/1.72 % (17190)Instructions burned: 5 (million)
% 3.10/1.72 % (17190)------------------------------
% 3.10/1.72 % (17190)------------------------------
% 3.10/1.72 % (17191)Instruction limit reached!
% 3.10/1.72 % (17191)------------------------------
% 3.10/1.72 % (17191)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.10/1.72 % (17191)Termination reason: Unknown
% 3.10/1.72 % (17191)Termination phase: shuffling
% 3.10/1.72
% 3.10/1.72 % (17191)Memory used [KB]: 1918
% 3.10/1.72 % (17191)Time elapsed: 0.003 s
% 3.10/1.72 % (17191)Instructions burned: 5 (million)
% 3.10/1.72 % (17191)------------------------------
% 3.10/1.72 % (17191)------------------------------
% 3.10/1.72 % (17188)Instruction limit reached!
% 3.10/1.72 % (17188)------------------------------
% 3.10/1.72 % (17188)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.10/1.72 % (17188)Termination reason: Unknown
% 3.10/1.72 % (17188)Termination phase: shuffling
% 3.10/1.72
% 3.10/1.72 % (17188)Memory used [KB]: 1918
% 3.10/1.72 % (17188)Time elapsed: 0.005 s
% 3.10/1.72 % (17188)Instructions burned: 4 (million)
% 3.10/1.72 % (17188)------------------------------
% 3.10/1.72 % (17188)------------------------------
% 3.10/1.73 % (17192)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/18Mi)
% 3.10/1.73 % (17194)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/6Mi)
% 3.10/1.73 % (17193)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/710Mi)
% 3.10/1.73 % (17195)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/902Mi)
% 3.10/1.73 % (17194)Instruction limit reached!
% 3.10/1.73 % (17194)------------------------------
% 3.10/1.73 % (17194)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.10/1.73 % (17194)Termination reason: Unknown
% 3.10/1.73 % (17194)Termination phase: shuffling
% 3.10/1.73
% 3.10/1.73 % (17194)Memory used [KB]: 1918
% 3.10/1.73 % (17194)Time elapsed: 0.004 s
% 3.10/1.73 % (17194)Instructions burned: 9 (million)
% 3.10/1.73 % (17194)------------------------------
% 3.10/1.73 % (17194)------------------------------
% 3.10/1.74 % (17192)Instruction limit reached!
% 3.10/1.74 % (17192)------------------------------
% 3.10/1.74 % (17192)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.10/1.74 % (17192)Termination reason: Unknown
% 3.10/1.74 % (17192)Termination phase: shuffling
% 3.10/1.74
% 3.10/1.74 % (17192)Memory used [KB]: 2046
% 3.10/1.74 % (17192)Time elapsed: 0.009 s
% 3.10/1.74 % (17192)Instructions burned: 19 (million)
% 3.10/1.74 % (17192)------------------------------
% 3.10/1.74 % (17192)------------------------------
% 3.10/1.74 % (17196)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/21Mi)
% 3.10/1.74 % (17197)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/5Mi)
% 3.10/1.74 % (17197)Instruction limit reached!
% 3.10/1.74 % (17197)------------------------------
% 3.10/1.74 % (17197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.10/1.74 % (17197)Termination reason: Unknown
% 3.10/1.74 % (17197)Termination phase: shuffling
% 3.10/1.74
% 3.10/1.74 % (17197)Memory used [KB]: 1918
% 3.10/1.74 % (17197)Time elapsed: 0.003 s
% 3.10/1.74 % (17197)Instructions burned: 6 (million)
% 3.10/1.74 % (17197)------------------------------
% 3.10/1.74 % (17197)------------------------------
% 3.10/1.75 % (17198)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_16955 for (2999ds/6Mi)
% 3.10/1.75 % (17198)Instruction limit reached!
% 3.10/1.75 % (17198)------------------------------
% 3.10/1.75 % (17198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.10/1.75 % (17198)Termination reason: Unknown
% 3.10/1.75 % (17198)Termination phase: shuffling
% 3.10/1.75
% 3.10/1.75 % (17198)Memory used [KB]: 1918
% 3.10/1.75 % (17198)Time elapsed: 0.003 s
% 3.10/1.75 % (17198)Instructions burned: 6 (million)
% 3.10/1.75 % (17198)------------------------------
% 3.10/1.75 % (17198)------------------------------
% 3.10/1.75 % (17178)First to succeed.
% 3.10/1.75 % (17178)Refutation found. Thanks to Tanya!
% 3.10/1.75 % SZS status Theorem for DTF2THF_16955
% 3.10/1.75 % SZS output start Proof for DTF2THF_16955
% 3.10/1.75 thf(type_def_5, type, c: $tType).
% 3.10/1.75 thf(type_def_7, type, d: $tType).
% 3.10/1.75 thf(type_def_8, type, a: $tType).
% 3.10/1.75 thf(type_def_9, type, b: $tType).
% 3.10/1.75 thf(type_def_10, type, fset_a: $tType).
% 3.10/1.75 thf(type_def_11, type, fset_b: $tType).
% 3.10/1.75 thf(type_def_12, type, set_a: $tType).
% 3.10/1.75 thf(type_def_13, type, set_b: $tType).
% 3.10/1.75 thf(type_def_14, type, set_c: $tType).
% 3.10/1.75 thf(type_def_15, type, multiset_a: $tType).
% 3.10/1.75 thf(type_def_16, type, multiset_b: $tType).
% 3.10/1.75 thf(type_def_17, type, set_d: $tType).
% 3.10/1.75 thf(func_def_0, type, multiset_b: $tType).
% 3.10/1.75 thf(func_def_1, type, multiset_a: $tType).
% 3.10/1.75 thf(func_def_2, type, fset_b: $tType).
% 3.10/1.75 thf(func_def_3, type, fset_a: $tType).
% 3.10/1.75 thf(func_def_4, type, set_d: $tType).
% 3.10/1.75 thf(func_def_5, type, set_c: $tType).
% 3.10/1.75 thf(func_def_6, type, set_b: $tType).
% 3.10/1.75 thf(func_def_7, type, set_a: $tType).
% 3.10/1.75 thf(func_def_8, type, d: $tType).
% 3.10/1.75 thf(func_def_9, type, c: $tType).
% 3.10/1.75 thf(func_def_10, type, b: $tType).
% 3.10/1.75 thf(func_def_11, type, a: $tType).
% 3.10/1.75 thf(func_def_12, type, bNF_re19414301_d_d_o: (((c > c) > (c > c) > $o) > ((d > d) > (d > d) > $o) > $o) > (((a > c > c) > (a > c > c) > $o) > ((b > d > d) > (b > d > d) > $o) > $o) > (((c > c) > (c > c) > $o) > (a > c > c) > (a > c > c) > $o) > (((d > d) > (d > d) > $o) > (b > d > d) > (b > d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_13, type, bNF_re674980784_d_d_o: (((c > c) > (c > c) > $o) > ((d > d) > (d > d) > $o) > $o) > (((a > c > c) > $o) > ((b > d > d) > $o) > $o) > (((c > c) > (c > c) > $o) > (a > c > c) > $o) > (((d > d) > (d > d) > $o) > (b > d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_14, type, bNF_re1867846365_a_a_o: (((c > c) > (c > c) > $o) > (a > a > $o) > $o) > (((a > c > c) > (a > c > c) > $o) > ((a > a) > (a > a) > $o) > $o) > (((c > c) > (c > c) > $o) > (a > c > c) > (a > c > c) > $o) > ((a > a > $o) > (a > a) > (a > a) > $o) > $o).
% 3.10/1.75 thf(func_def_15, type, bNF_re708047067_a_b_o: (((c > c) > (c > c) > $o) > (a > b > $o) > $o) > (((a > c > c) > (a > c > c) > $o) > ((a > a) > (a > b) > $o) > $o) > (((c > c) > (c > c) > $o) > (a > c > c) > (a > c > c) > $o) > ((a > b > $o) > (a > a) > (a > b) > $o) > $o).
% 3.10/1.75 thf(func_def_16, type, bNF_re145798749_a_a_o: (((c > c) > (d > d) > $o) > (a > a > $o) > $o) > (((a > c > c) > (a > d > d) > $o) > ((a > a) > (a > a) > $o) > $o) > (((c > c) > (d > d) > $o) > (a > c > c) > (a > d > d) > $o) > ((a > a > $o) > (a > a) > (a > a) > $o) > $o).
% 3.10/1.75 thf(func_def_17, type, bNF_re1133483099_a_b_o: (((c > c) > (d > d) > $o) > (a > b > $o) > $o) > (((a > c > c) > (a > d > d) > $o) > ((a > a) > (a > b) > $o) > $o) > (((c > c) > (d > d) > $o) > (a > c > c) > (a > d > d) > $o) > ((a > b > $o) > (a > a) > (a > b) > $o) > $o).
% 3.10/1.75 thf(func_def_18, type, bNF_re141854397_b_d_d: (((c > c) > c > c) > ((d > d) > d > d) > $o) > (((a > c > c) > a > c > c) > ((b > d > d) > b > d > d) > $o) > (((c > c) > c > c) > (a > c > c) > a > c > c) > (((d > d) > d > d) > (b > d > d) > b > d > d) > $o).
% 3.10/1.75 thf(func_def_19, type, bNF_re35019871_b_d_d: (((c > c) > a) > ((d > d) > b) > $o) > ((a > c > c) > (b > d > d) > $o) > (((c > c) > a) > a > c > c) > (((d > d) > b) > b > d > d) > $o).
% 3.10/1.75 thf(func_def_20, type, bNF_re1177671453_a_a_a: (((c > c) > a) > (a > a) > $o) > (((c > c) > a) > (a > a) > $o) > (((c > c) > a) > (c > c) > a) > ((a > a) > a > a) > $o).
% 3.10/1.75 thf(func_def_21, type, bNF_re1238578079_d_d_d: (((c > c) > c) > ((d > d) > d) > $o) > (((a > c > c) > c > c) > ((b > d > d) > d > d) > $o) > (((c > c) > c) > (a > c > c) > c > c) > (((d > d) > d) > (b > d > d) > d > d) > $o).
% 3.10/1.75 thf(func_def_22, type, bNF_re1209333166_c_b_d: (((c > c) > c) > ((d > d) > d) > $o) > ((a > c) > (b > d) > $o) > (((c > c) > c) > a > c) > (((d > d) > d) > b > d) > $o).
% 3.10/1.75 thf(func_def_23, type, bNF_re323253981_b_b_b: (((d > d) > b) > (b > b) > $o) > (((d > d) > b) > (b > b) > $o) > (((d > d) > b) > (d > d) > b) > ((b > b) > b > b) > $o).
% 3.10/1.75 thf(func_def_24, type, bNF_re1403739741_a_a_o: ((a > a > $o) > (a > a > $o) > $o) > (((a > a) > (a > a) > $o) > ((a > a) > (a > a) > $o) > $o) > ((a > a > $o) > (a > a) > (a > a) > $o) > ((a > a > $o) > (a > a) > (a > a) > $o) > $o).
% 3.10/1.75 thf(func_def_25, type, bNF_re1165460699_a_b_o: ((a > a > $o) > (a > b > $o) > $o) > (((a > a) > (a > a) > $o) > ((a > a) > (a > b) > $o) > $o) > ((a > a > $o) > (a > a) > (a > a) > $o) > ((a > b > $o) > (a > a) > (a > b) > $o) > $o).
% 3.10/1.75 thf(func_def_26, type, bNF_re1310167325_a_a_o: ((a > a > $o) > (b > a > $o) > $o) > (((a > a) > (a > a) > $o) > ((a > b) > (a > a) > $o) > $o) > ((a > a > $o) > (a > a) > (a > a) > $o) > ((b > a > $o) > (a > b) > (a > a) > $o) > $o).
% 3.10/1.75 thf(func_def_27, type, bNF_re2129955100_d_d_o: ((a > a > $o) > (b > b > $o) > $o) > ((((c > c) > (c > c) > $o) > (a > c > c) > $o) > (((d > d) > (d > d) > $o) > (b > d > d) > $o) > $o) > ((a > a > $o) > ((c > c) > (c > c) > $o) > (a > c > c) > $o) > ((b > b > $o) > ((d > d) > (d > d) > $o) > (b > d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_28, type, bNF_re1071888283_a_b_o: ((a > a > $o) > (b > b > $o) > $o) > (((a > a) > (a > a) > $o) > ((a > b) > (a > b) > $o) > $o) > ((a > a > $o) > (a > a) > (a > a) > $o) > ((b > b > $o) > (a > b) > (a > b) > $o) > $o).
% 3.10/1.75 thf(func_def_29, type, bNF_re231976415_a_a_o: ((a > b > $o) > (a > a > $o) > $o) > (((a > a) > (a > b) > $o) > ((a > a) > (a > a) > $o) > $o) > ((a > b > $o) > (a > a) > (a > b) > $o) > ((a > a > $o) > (a > a) > (a > a) > $o) > $o).
% 3.10/1.75 thf(func_def_30, type, bNF_re2141181021_a_b_o: ((a > b > $o) > (a > b > $o) > $o) > (((a > a) > (a > b) > $o) > ((a > a) > (a > b) > $o) > $o) > ((a > b > $o) > (a > a) > (a > b) > $o) > ((a > b > $o) > (a > a) > (a > b) > $o) > $o).
% 3.10/1.75 thf(func_def_31, type, bNF_re880840541_a_c_c: ((a > c > c) > (a > c > c) > $o) > (((a > a) > a > c > c) > ((a > a) > a > c > c) > $o) > ((a > c > c) > (a > a) > a > c > c) > ((a > c > c) > (a > a) > a > c > c) > $o).
% 3.10/1.75 thf(func_def_32, type, bNF_re1311853791_b_c_c: ((a > c > c) > (a > c > c) > $o) > (((a > a) > a > c > c) > ((b > a) > b > c > c) > $o) > ((a > c > c) > (a > a) > a > c > c) > ((a > c > c) > (b > a) > b > c > c) > $o).
% 3.10/1.75 thf(func_def_33, type, bNF_re978949211_a_c_c: ((a > c > c) > (a > c > c) > $o) > (((b > a) > b > c > c) > ((a > a) > a > c > c) > $o) > ((a > c > c) > (b > a) > b > c > c) > ((a > c > c) > (a > a) > a > c > c) > $o).
% 3.10/1.75 thf(func_def_34, type, bNF_re1409962461_b_c_c: ((a > c > c) > (a > c > c) > $o) > (((b > a) > b > c > c) > ((b > a) > b > c > c) > $o) > ((a > c > c) > (b > a) > b > c > c) > ((a > c > c) > (b > a) > b > c > c) > $o).
% 3.10/1.75 thf(func_def_35, type, bNF_re27458217_c_c_c: ((a > c > c) > (a > c > c) > $o) > ((c > c) > (c > c) > $o) > ((a > c > c) > c > c) > ((a > c > c) > c > c) > $o).
% 3.10/1.75 thf(func_def_36, type, bNF_re1955249705_c_d_d: ((a > c > c) > (a > d > d) > $o) > ((c > c) > (d > d) > $o) > ((a > c > c) > c > c) > ((a > d > d) > d > d) > $o).
% 3.10/1.75 thf(func_def_37, type, bNF_re1684125987_a_a_o: ((a > c > c) > (a > a) > $o) > (((a > c > c) > $o) > ((a > a) > $o) > $o) > ((a > c > c) > (a > c > c) > $o) > ((a > a) > (a > a) > $o) > $o).
% 3.10/1.75 thf(func_def_38, type, bNF_re364411746_a_b_o: ((a > c > c) > (a > a) > $o) > (((a > c > c) > $o) > ((a > b) > $o) > $o) > ((a > c > c) > (a > c > c) > $o) > ((a > a) > (a > b) > $o) > $o).
% 3.10/1.75 thf(func_def_39, type, bNF_re1652452067_a_a_o: ((a > c > c) > (a > a) > $o) > (((a > d > d) > $o) > ((a > a) > $o) > $o) > ((a > c > c) > (a > d > d) > $o) > ((a > a) > (a > a) > $o) > $o).
% 3.10/1.75 thf(func_def_40, type, bNF_re332737826_a_b_o: ((a > c > c) > (a > a) > $o) > (((a > d > d) > $o) > ((a > b) > $o) > $o) > ((a > c > c) > (a > d > d) > $o) > ((a > a) > (a > b) > $o) > $o).
% 3.10/1.75 thf(func_def_41, type, bNF_re2074539676_a_o_o: ((a > c > c) > (a > a) > $o) > ($o > $o > $o) > ((a > c > c) > $o) > ((a > a) > $o) > $o).
% 3.10/1.75 thf(func_def_42, type, bNF_re1256092317_b_o_o: ((a > c > c) > (a > b) > $o) > ($o > $o > $o) > ((a > c > c) > $o) > ((a > b) > $o) > $o).
% 3.10/1.75 thf(func_def_43, type, bNF_re387831090_b_d_d: ((a > c > c) > (b > d > d) > $o) > ((((c > c) > a) > a > c > c) > (((d > d) > b) > b > d > d) > $o) > ((a > c > c) > ((c > c) > a) > a > c > c) > ((b > d > d) > ((d > d) > b) > b > d > d) > $o).
% 3.10/1.75 thf(func_def_44, type, bNF_re364486559_b_d_d: ((a > c > c) > (b > d > d) > $o) > (((a > c > c) > ((c > c) > a) > a > c > c) > ((b > d > d) > ((d > d) > b) > b > d > d) > $o) > ((a > c > c) > (a > c > c) > ((c > c) > a) > a > c > c) > ((b > d > d) > (b > d > d) > ((d > d) > b) > b > d > d) > $o).
% 3.10/1.75 thf(func_def_45, type, bNF_re1855937521_d_d_o: ((a > c > c) > (b > d > d) > $o) > (((a > c > c) > $o) > ((b > d > d) > $o) > $o) > ((a > c > c) > (a > c > c) > $o) > ((b > d > d) > (b > d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_46, type, bNF_re631104669_a_d_d: ((a > c > c) > (b > d > d) > $o) > (((a > a) > a > c > c) > ((a > b) > a > d > d) > $o) > ((a > c > c) > (a > a) > a > c > c) > ((b > d > d) > (a > b) > a > d > d) > $o).
% 3.10/1.75 thf(func_def_47, type, bNF_re1062117919_b_d_d: ((a > c > c) > (b > d > d) > $o) > (((a > a) > a > c > c) > ((b > b) > b > d > d) > $o) > ((a > c > c) > (a > a) > a > c > c) > ((b > d > d) > (b > b) > b > d > d) > $o).
% 3.10/1.75 thf(func_def_48, type, bNF_re1160226589_b_d_d: ((a > c > c) > (b > d > d) > $o) > (((b > a) > b > c > c) > ((b > b) > b > d > d) > $o) > ((a > c > c) > (b > a) > b > c > c) > ((b > d > d) > (b > b) > b > d > d) > $o).
% 3.10/1.75 thf(func_def_49, type, bNF_re2120361759_d_d_d: ((a > c > c) > (b > d > d) > $o) > (((c > a) > c > c > c) > ((d > b) > d > d > d) > $o) > ((a > c > c) > (c > a) > c > c > c) > ((b > d > d) > (d > b) > d > d > d) > $o).
% 3.10/1.75 thf(func_def_50, type, bNF_re727696351_d_b_d: ((a > c > c) > (b > d > d) > $o) > (((c > c) > ((c > c) > c) > a > c) > ((d > d) > ((d > d) > d) > b > d) > $o) > ((a > c > c) > (c > c) > ((c > c) > c) > a > c) > ((b > d > d) > (d > d) > ((d > d) > d) > b > d) > $o).
% 3.10/1.75 thf(func_def_51, type, bNF_re1424479610_b_d_d: ((a > c > c) > (b > d > d) > $o) > ((a > (c > c) > a > c > c) > (b > (d > d) > b > d > d) > $o) > ((a > c > c) > a > (c > c) > a > c > c) > ((b > d > d) > b > (d > d) > b > d > d) > $o).
% 3.10/1.75 thf(func_def_52, type, bNF_re692482399_b_d_d: ((a > c > c) > (b > d > d) > $o) > ((a > c > c) > (b > d > d) > $o) > ((a > c > c) > a > c > c) > ((b > d > d) > b > d > d) > $o).
% 3.10/1.75 thf(func_def_53, type, bNF_re84044842_c_d_d: ((a > c > c) > (b > d > d) > $o) > ((c > c) > (d > d) > $o) > ((a > c > c) > c > c) > ((b > d > d) > d > d) > $o).
% 3.10/1.75 thf(func_def_54, type, bNF_re1501709470_d_o_o: ((a > c > c) > (b > d > d) > $o) > ($o > $o > $o) > ((a > c > c) > $o) > ((b > d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_55, type, bNF_re1620723804_a_o_o: ((a > d > d) > (a > a) > $o) > ($o > $o > $o) > ((a > d > d) > $o) > ((a > a) > $o) > $o).
% 3.10/1.75 thf(func_def_56, type, bNF_re802276445_b_o_o: ((a > d > d) > (a > b) > $o) > ($o > $o > $o) > ((a > d > d) > $o) > ((a > b) > $o) > $o).
% 3.10/1.75 thf(func_def_57, type, bNF_re1503602041_a_a_a: ((a > a) > (a > a) > $o) > ((((c > c) > a) > (c > c) > a) > ((a > a) > a > a) > $o) > ((a > a) > ((c > c) > a) > (c > c) > a) > ((a > a) > (a > a) > a > a) > $o).
% 3.10/1.75 thf(func_def_58, type, bNF_re1258259453_a_a_a: ((a > a) > (a > a) > $o) > (((a > a) > a > a) > ((a > a) > a > a) > $o) > ((a > a) > (a > a) > a > a) > ((a > a) > (a > a) > a > a) > $o).
% 3.10/1.75 thf(func_def_59, type, bNF_re1900831913_a_a_o: ((a > a) > (a > a) > $o) > (((a > a) > $o) > ((a > a) > $o) > $o) > ((a > a) > (a > a) > $o) > ((a > a) > (a > a) > $o) > $o).
% 3.10/1.75 thf(func_def_60, type, bNF_re581117672_a_b_o: ((a > a) > (a > a) > $o) > (((a > a) > $o) > ((a > b) > $o) > $o) > ((a > a) > (a > a) > $o) > ((a > a) > (a > b) > $o) > $o).
% 3.10/1.75 thf(func_def_61, type, bNF_re984549674_a_a_o: ((a > a) > (a > a) > $o) > (((a > b) > $o) > ((a > a) > $o) > $o) > ((a > a) > (a > b) > $o) > ((a > a) > (a > a) > $o) > $o).
% 3.10/1.75 thf(func_def_62, type, bNF_re1812319081_a_b_o: ((a > a) > (a > a) > $o) > (((a > b) > $o) > ((a > b) > $o) > $o) > ((a > a) > (a > b) > $o) > ((a > a) > (a > b) > $o) > $o).
% 3.10/1.75 thf(func_def_63, type, bNF_re1691224489_a_c_c: ((a > a) > (a > a) > $o) > ((a > c > c) > (a > c > c) > $o) > ((a > a) > a > c > c) > ((a > a) > a > c > c) > $o).
% 3.10/1.75 thf(func_def_64, type, bNF_re1690311157_a_a_a: ((a > a) > (a > a) > $o) > ((a > a) > (a > a) > $o) > ((a > a) > a > a) > ((a > a) > a > a) > $o).
% 3.10/1.75 thf(func_def_65, type, bNF_re1698572662_a_a_b: ((a > a) > (a > a) > $o) > ((a > a) > (a > b) > $o) > ((a > a) > a > a) > ((a > a) > a > b) > $o).
% 3.10/1.75 thf(func_def_66, type, bNF_re134330537_a_o_o: ((a > a) > (a > a) > $o) > ($o > $o > $o) > ((a > a) > $o) > ((a > a) > $o) > $o).
% 3.10/1.75 thf(func_def_67, type, bNF_re571457705_a_a_a: ((a > a) > (a > a) > $o) > (a > a > $o) > ((a > a) > a) > ((a > a) > a) > $o).
% 3.10/1.75 thf(func_def_68, type, bNF_re1514436479_a_a_b: ((a > a) > (a > b) > $o) > (((a > a) > a > a) > ((a > a) > a > b) > $o) > ((a > a) > (a > a) > a > a) > ((a > b) > (a > a) > a > b) > $o).
% 3.10/1.75 thf(func_def_69, type, bNF_re390230442_a_a_o: ((a > a) > (a > b) > $o) > (((a > a) > $o) > ((a > a) > $o) > $o) > ((a > a) > (a > a) > $o) > ((a > b) > (a > a) > $o) > $o).
% 3.10/1.75 thf(func_def_70, type, bNF_re1217999849_a_b_o: ((a > a) > (a > b) > $o) > (((a > a) > $o) > ((a > b) > $o) > $o) > ((a > a) > (a > a) > $o) > ((a > b) > (a > b) > $o) > $o).
% 3.10/1.75 thf(func_def_71, type, bNF_re1787520874_a_d_d: ((a > a) > (a > b) > $o) > ((a > c > c) > (a > d > d) > $o) > ((a > a) > a > c > c) > ((a > b) > a > d > d) > $o).
% 3.10/1.75 thf(func_def_72, type, bNF_re857382262_a_a_a: ((a > a) > (a > b) > $o) > ((a > a) > (a > a) > $o) > ((a > a) > a > a) > ((a > b) > a > a) > $o).
% 3.10/1.75 thf(func_def_73, type, bNF_re865643767_a_a_b: ((a > a) > (a > b) > $o) > ((a > a) > (a > b) > $o) > ((a > a) > a > a) > ((a > b) > a > b) > $o).
% 3.10/1.75 thf(func_def_74, type, bNF_re1463366826_b_o_o: ((a > a) > (a > b) > $o) > ($o > $o > $o) > ((a > a) > $o) > ((a > b) > $o) > $o).
% 3.10/1.75 thf(func_def_75, type, bNF_re473406379_b_a_b: ((a > a) > (a > b) > $o) > (a > b > $o) > ((a > a) > a) > ((a > b) > b) > $o).
% 3.10/1.75 thf(func_def_76, type, bNF_re539937469_b_a_a: ((a > a) > (b > a) > $o) > (((a > a) > a > a) > ((a > b) > a > a) > $o) > ((a > a) > (a > a) > a > a) > ((b > a) > (a > b) > a > a) > $o).
% 3.10/1.75 thf(func_def_77, type, bNF_re1665173865_b_c_c: ((a > a) > (b > a) > $o) > ((a > c > c) > (b > c > c) > $o) > ((a > a) > a > c > c) > ((b > a) > b > c > c) > $o).
% 3.10/1.75 thf(func_def_78, type, bNF_re932551557_b_d_d: ((a > a) > (b > b) > $o) > ((((c > c) > c > c) > (a > c > c) > a > c > c) > (((d > d) > d > d) > (b > d > d) > b > d > d) > $o) > ((a > a) > ((c > c) > c > c) > (a > c > c) > a > c > c) > ((b > b) > ((d > d) > d > d) > (b > d > d) > b > d > d) > $o).
% 3.10/1.75 thf(func_def_79, type, bNF_re796114495_b_a_b: ((a > a) > (b > b) > $o) > (((a > a) > a > a) > ((a > b) > a > b) > $o) > ((a > a) > (a > a) > a > a) > ((b > b) > (a > b) > a > b) > $o).
% 3.10/1.75 thf(func_def_80, type, bNF_re835672381_b_b_b: ((a > a) > (b > b) > $o) > (((a > a) > a > a) > ((b > b) > b > b) > $o) > ((a > a) > (a > a) > a > a) > ((b > b) > (b > b) > b > b) > $o).
% 3.10/1.75 thf(func_def_81, type, bNF_re774352699_b_b_b: ((a > a) > (b > b) > $o) > (((b > a) > b > a) > ((b > b) > b > b) > $o) > ((a > a) > (b > a) > b > a) > ((b > b) > (b > b) > b > b) > $o).
% 3.10/1.75 thf(func_def_82, type, bNF_re1761470250_b_d_d: ((a > a) > (b > b) > $o) > ((a > c > c) > (b > d > d) > $o) > ((a > a) > a > c > c) > ((b > b) > b > d > d) > $o).
% 3.10/1.75 thf(func_def_83, type, bNF_re1307884917_a_b_b: ((a > a) > (b > b) > $o) > ((a > a) > (b > b) > $o) > ((a > a) > a > a) > ((b > b) > b > b) > $o).
% 3.10/1.75 thf(func_def_84, type, bNF_re2087760490_b_a_b: ((a > a) > (b > b) > $o) > (a > b > $o) > ((a > a) > a) > ((b > b) > b) > $o).
% 3.10/1.75 thf(func_def_85, type, bNF_re1906994858_a_o_o: ((a > b) > (a > a) > $o) > ($o > $o > $o) > ((a > b) > $o) > ((a > a) > $o) > $o).
% 3.10/1.75 thf(func_def_86, type, bNF_re1088547499_b_o_o: ((a > b) > (a > b) > $o) > ($o > $o > $o) > ((a > b) > $o) > ((a > b) > $o) > $o).
% 3.10/1.75 thf(func_def_87, type, bNF_re1606289753_b_d_d: ((a > c) > (b > d) > $o) > (((c > c > c) > (c > c) > a > c > c) > ((d > d > d) > (d > d) > b > d > d) > $o) > ((a > c) > (c > c > c) > (c > c) > a > c > c) > ((b > d) > (d > d > d) > (d > d) > b > d > d) > $o).
% 3.10/1.75 thf(func_def_88, type, bNF_re561231771_a_c_c: ((b > d > d) > (a > c > c) > $o) > (((b > b) > b > d > d) > ((a > a) > a > c > c) > $o) > ((b > d > d) > (b > b) > b > d > d) > ((a > c > c) > (a > a) > a > c > c) > $o).
% 3.10/1.75 thf(func_def_89, type, bNF_re742509149_b_d_d: ((b > d > d) > (b > d > d) > $o) > (((b > b) > b > d > d) > ((b > b) > b > d > d) > $o) > ((b > d > d) > (b > b) > b > d > d) > ((b > d > d) > (b > b) > b > d > d) > $o).
% 3.10/1.75 thf(func_def_90, type, bNF_re1591514407_a_c_c: ((b > a) > (a > a) > $o) > ((b > c > c) > (a > c > c) > $o) > ((b > a) > b > c > c) > ((a > a) > a > c > c) > $o).
% 3.10/1.75 thf(func_def_91, type, bNF_re1565463783_b_c_c: ((b > a) > (b > a) > $o) > ((b > c > c) > (b > c > c) > $o) > ((b > a) > b > c > c) > ((b > a) > b > c > c) > $o).
% 3.10/1.75 thf(func_def_92, type, bNF_re1661760168_b_d_d: ((b > a) > (b > b) > $o) > ((b > c > c) > (b > d > d) > $o) > ((b > a) > b > c > c) > ((b > b) > b > d > d) > $o).
% 3.10/1.75 thf(func_def_93, type, bNF_re668686835_a_b_b: ((b > a) > (b > b) > $o) > ((b > a) > (b > b) > $o) > ((b > a) > b > a) > ((b > b) > b > b) > $o).
% 3.10/1.75 thf(func_def_94, type, bNF_re1794062813_d_d_b: ((b > b) > ((d > d) > b) > $o) > ((b > b) > ((d > d) > b) > $o) > ((b > b) > b > b) > (((d > d) > b) > (d > d) > b) > $o).
% 3.10/1.75 thf(func_def_95, type, bNF_re1645058365_a_a_a: ((b > b) > (a > a) > $o) > (((b > b) > b > b) > ((a > a) > a > a) > $o) > ((b > b) > (b > b) > b > b) > ((a > a) > (a > a) > a > a) > $o).
% 3.10/1.75 thf(func_def_96, type, bNF_re1342462312_a_c_c: ((b > b) > (a > a) > $o) > ((b > d > d) > (a > c > c) > $o) > ((b > b) > b > d > d) > ((a > a) > a > c > c) > $o).
% 3.10/1.75 thf(func_def_97, type, bNF_re310361461_b_a_a: ((b > b) > (a > a) > $o) > ((b > b) > (a > a) > $o) > ((b > b) > b > b) > ((a > a) > a > a) > $o).
% 3.10/1.75 thf(func_def_98, type, bNF_re1138812345_b_b_b: ((b > b) > (b > b) > $o) > ((((d > d) > b) > (d > d) > b) > ((b > b) > b > b) > $o) > ((b > b) > ((d > d) > b) > (d > d) > b) > ((b > b) > (b > b) > b > b) > $o).
% 3.10/1.75 thf(func_def_99, type, bNF_re961930425_d_d_b: ((b > b) > (b > b) > $o) > (((b > b) > b > b) > (((d > d) > b) > (d > d) > b) > $o) > ((b > b) > (b > b) > b > b) > ((b > b) > ((d > d) > b) > (d > d) > b) > $o).
% 3.10/1.75 thf(func_def_100, type, bNF_re1222471293_b_b_b: ((b > b) > (b > b) > $o) > (((b > b) > b > b) > ((b > b) > b > b) > $o) > ((b > b) > (b > b) > b > b) > ((b > b) > (b > b) > b > b) > $o).
% 3.10/1.75 thf(func_def_101, type, bNF_re1412708073_b_d_d: ((b > b) > (b > b) > $o) > ((b > d > d) > (b > d > d) > $o) > ((b > b) > b > d > d) > ((b > b) > b > d > d) > $o).
% 3.10/1.75 thf(func_def_102, type, bNF_re2075418869_b_b_b: ((b > b) > (b > b) > $o) > ((b > b) > (b > b) > $o) > ((b > b) > b > b) > ((b > b) > b > b) > $o).
% 3.10/1.75 thf(func_def_103, type, bNF_re921674337_d_d_o: ((c > c > $o) > (d > d > $o) > $o) > (((c > c > $o) > (c > c) > $o) > ((d > d > $o) > (d > d) > $o) > $o) > ((c > c > $o) > (c > c > $o) > (c > c) > $o) > ((d > d > $o) > (d > d > $o) > (d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_104, type, bNF_re764708765_d_d_o: ((c > c > $o) > (d > d > $o) > $o) > (((c > c) > (c > c) > $o) > ((d > d) > (d > d) > $o) > $o) > ((c > c > $o) > (c > c) > (c > c) > $o) > ((d > d > $o) > (d > d) > (d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_105, type, bNF_re27482973_d_d_o: ((c > c > $o) > (d > d > $o) > $o) > (((c > c) > $o) > ((d > d) > $o) > $o) > ((c > c > $o) > (c > c) > $o) > ((d > d > $o) > (d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_106, type, bNF_re1507718559_b_d_d: ((c > c > c) > (d > d > d) > $o) > (((c > c) > a > c > c) > ((d > d) > b > d > d) > $o) > ((c > c > c) > (c > c) > a > c > c) > ((d > d > d) > (d > d) > b > d > d) > $o).
% 3.10/1.75 thf(func_def_107, type, bNF_re1164948833_d_d_d: ((c > a) > (d > b) > $o) > ((((c > c) > c) > (a > c > c) > c > c) > (((d > d) > d) > (b > d > d) > d > d) > $o) > ((c > a) > ((c > c) > c) > (a > c > c) > c > c) > ((d > b) > ((d > d) > d) > (b > d > d) > d > d) > $o).
% 3.10/1.75 thf(func_def_108, type, bNF_re1509948838_d_d_d: ((c > a) > (d > b) > $o) > ((c > c > c) > (d > d > d) > $o) > ((c > a) > c > c > c) > ((d > b) > d > d > d) > $o).
% 3.10/1.75 thf(func_def_109, type, bNF_re335372010_d_b_d: ((c > c) > (d > d) > $o) > ((((c > c) > c) > a > c) > (((d > d) > d) > b > d) > $o) > ((c > c) > ((c > c) > c) > a > c) > ((d > d) > ((d > d) > d) > b > d) > $o).
% 3.10/1.75 thf(func_def_110, type, bNF_re1709888353_d_d_d: ((c > c) > (d > d) > $o) > (((a > c > c) > (c > a) > c > c > c) > ((b > d > d) > (d > b) > d > d > d) > $o) > ((c > c) > (a > c > c) > (c > a) > c > c > c) > ((d > d) > (b > d > d) > (d > b) > d > d > d) > $o).
% 3.10/1.75 thf(func_def_111, type, bNF_re888371717_d_d_d: ((c > c) > (d > d) > $o) > (((c > c) > (c > c) > c > c) > ((d > d) > (d > d) > d > d) > $o) > ((c > c) > (c > c) > (c > c) > c > c) > ((d > d) > (d > d) > (d > d) > d > d) > $o).
% 3.10/1.75 thf(func_def_112, type, bNF_re764096061_d_d_d: ((c > c) > (d > d) > $o) > (((c > c) > c > c) > ((d > d) > d > d) > $o) > ((c > c) > (c > c) > c > c) > ((d > d) > (d > d) > d > d) > $o).
% 3.10/1.75 thf(func_def_113, type, bNF_re781155241_d_d_o: ((c > c) > (d > d) > $o) > (((c > c) > $o) > ((d > d) > $o) > $o) > ((c > c) > (c > c) > $o) > ((d > d) > (d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_114, type, bNF_re1145286186_b_d_d: ((c > c) > (d > d) > $o) > ((a > c > c) > (b > d > d) > $o) > ((c > c) > a > c > c) > ((d > d) > b > d > d) > $o).
% 3.10/1.75 thf(func_def_115, type, bNF_re1941803873_d_d_d: ((c > c) > (d > d) > $o) > ((c > c > c > c) > (d > d > d > d) > $o) > ((c > c) > c > c > c > c) > ((d > d) > d > d > d > d) > $o).
% 3.10/1.75 thf(func_def_116, type, bNF_re2078100341_c_d_d: ((c > c) > (d > d) > $o) > ((c > c) > (d > d) > $o) > ((c > c) > c > c) > ((d > d) > d > d) > $o).
% 3.10/1.75 thf(func_def_117, type, bNF_re857878889_d_o_o: ((c > c) > (d > d) > $o) > ($o > $o > $o) > ((c > c) > $o) > ((d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_118, type, bNF_re1795127658_d_a_b: ((c > c) > (d > d) > $o) > (a > b > $o) > ((c > c) > a) > ((d > d) > b) > $o).
% 3.10/1.75 thf(func_def_119, type, bNF_re1303182826_d_c_d: ((c > c) > (d > d) > $o) > (c > d > $o) > ((c > c) > c) > ((d > d) > d) > $o).
% 3.10/1.75 thf(func_def_120, type, bNF_re1450278895_o_a_o: ((c > c) > a > $o) > (((c > c) > $o) > (a > $o) > $o) > ((c > c) > (c > c) > $o) > (a > a > $o) > $o).
% 3.10/1.75 thf(func_def_121, type, bNF_re2038641070_o_b_o: ((c > c) > a > $o) > (((c > c) > $o) > (b > $o) > $o) > ((c > c) > (c > c) > $o) > (a > b > $o) > $o).
% 3.10/1.75 thf(func_def_122, type, bNF_re1306877487_o_a_o: ((c > c) > a > $o) > (((d > d) > $o) > (a > $o) > $o) > ((c > c) > (d > d) > $o) > (a > a > $o) > $o).
% 3.10/1.75 thf(func_def_123, type, bNF_re1895239662_o_b_o: ((c > c) > a > $o) > (((d > d) > $o) > (b > $o) > $o) > ((c > c) > (d > d) > $o) > (a > b > $o) > $o).
% 3.10/1.75 thf(func_def_124, type, bNF_re883196986_a_o_o: ((c > c) > a > $o) > ($o > $o > $o) > ((c > c) > $o) > (a > $o) > $o).
% 3.10/1.75 thf(func_def_125, type, bNF_re1424579386_a_a_a: ((c > c) > a > $o) > (a > a > $o) > ((c > c) > a) > (a > a) > $o).
% 3.10/1.75 thf(func_def_126, type, bNF_re90976443_b_o_o: ((c > c) > b > $o) > ($o > $o > $o) > ((c > c) > $o) > (b > $o) > $o).
% 3.10/1.75 thf(func_def_127, type, bNF_re991543930_a_o_o: ((d > d) > a > $o) > ($o > $o > $o) > ((d > d) > $o) > (a > $o) > $o).
% 3.10/1.75 thf(func_def_128, type, bNF_re199323387_b_o_o: ((d > d) > b > $o) > ($o > $o > $o) > ((d > d) > $o) > (b > $o) > $o).
% 3.10/1.75 thf(func_def_129, type, bNF_re1703323451_b_b_b: ((d > d) > b > $o) > (b > b > $o) > ((d > d) > b) > (b > b) > $o).
% 3.10/1.75 thf(func_def_130, type, bNF_re1705765981_a_a_a: ($o > $o > $o) > ((a > a > a) > (a > a > a) > $o) > ($o > a > a > a) > ($o > a > a > a) > $o).
% 3.10/1.75 thf(func_def_131, type, bNF_re588060702_b_b_b: ($o > $o > $o) > ((a > a > a) > (b > b > b) > $o) > ($o > a > a > a) > ($o > b > b > b) > $o).
% 3.10/1.75 thf(func_def_132, type, bNF_re647211934_d_d_d: ($o > $o > $o) > ((c > c > c) > (d > d > d) > $o) > ($o > c > c > c) > ($o > d > d > d) > $o).
% 3.10/1.75 thf(func_def_133, type, bNF_re1482032989_c_c_c: (a > a > $o) > (((a > c > c) > c > c) > ((a > c > c) > c > c) > $o) > (a > (a > c > c) > c > c) > (a > (a > c > c) > c > c) > $o).
% 3.10/1.75 thf(func_def_134, type, bNF_re1391160029_d_d_d: (a > a > $o) > (((a > c > c) > c > c) > ((a > d > d) > d > d) > $o) > (a > (a > c > c) > c > c) > (a > (a > d > d) > d > d) > $o).
% 3.10/1.75 thf(func_def_135, type, bNF_re865741149_a_a_a: (a > a > $o) > (((a > a) > a) > ((a > a) > a) > $o) > (a > (a > a) > a) > (a > (a > a) > a) > $o).
% 3.10/1.75 thf(func_def_136, type, bNF_re1093913501_a_b_b: (a > a > $o) > (((a > a) > a) > ((a > b) > b) > $o) > (a > (a > a) > a) > (a > (a > b) > b) > $o).
% 3.10/1.75 thf(func_def_137, type, bNF_re1690123229_o_a_o: (a > a > $o) > ((a > $o) > (a > $o) > $o) > (a > a > $o) > (a > a > $o) > $o).
% 3.10/1.75 thf(func_def_138, type, bNF_re131001756_o_b_o: (a > a > $o) > ((a > $o) > (b > $o) > $o) > (a > a > $o) > (a > b > $o) > $o).
% 3.10/1.75 thf(func_def_139, type, bNF_re911029929_a_a_a: (a > a > $o) > ((a > a) > (a > a) > $o) > (a > a > a) > (a > a > a) > $o).
% 3.10/1.75 thf(func_def_140, type, bNF_re1809376028_o_a_o: (a > a > $o) > ((b > $o) > (a > $o) > $o) > (a > b > $o) > (a > a > $o) > $o).
% 3.10/1.75 thf(func_def_141, type, bNF_re250254555_o_b_o: (a > a > $o) > ((b > $o) > (b > $o) > $o) > (a > b > $o) > (a > b > $o) > $o).
% 3.10/1.75 thf(func_def_142, type, bNF_re1143700905_c_c_c: (a > a > $o) > ((c > c) > (c > c) > $o) > (a > c > c) > (a > c > c) > $o).
% 3.10/1.75 thf(func_def_143, type, bNF_re1979731817_c_d_d: (a > a > $o) > ((c > c) > (d > d) > $o) > (a > c > c) > (a > d > d) > $o).
% 3.10/1.75 thf(func_def_144, type, bNF_re950444090_c_c_a: (a > a > $o) > ((c > c) > a > $o) > (a > c > c) > (a > a) > $o).
% 3.10/1.75 thf(func_def_145, type, bNF_re950444091_c_c_b: (a > a > $o) > ((c > c) > b > $o) > (a > c > c) > (a > b) > $o).
% 3.10/1.75 thf(func_def_146, type, bNF_re2038021754_d_d_a: (a > a > $o) > ((d > d) > a > $o) > (a > d > d) > (a > a) > $o).
% 3.10/1.75 thf(func_def_147, type, bNF_re2038021755_d_d_b: (a > a > $o) > ((d > d) > b > $o) > (a > d > d) > (a > b) > $o).
% 3.10/1.75 thf(func_def_148, type, bNF_rel_fun_a_a_o_o: (a > a > $o) > ($o > $o > $o) > (a > $o) > (a > $o) > $o).
% 3.10/1.75 thf(func_def_149, type, bNF_rel_fun_a_a_a_a: (a > a > $o) > (a > a > $o) > (a > a) > (a > a) > $o).
% 3.10/1.75 thf(func_def_150, type, bNF_rel_fun_a_a_a_b: (a > a > $o) > (a > b > $o) > (a > a) > (a > b) > $o).
% 3.10/1.75 thf(func_def_151, type, bNF_rel_fun_a_a_b_a: (a > a > $o) > (b > a > $o) > (a > b) > (a > a) > $o).
% 3.10/1.75 thf(func_def_152, type, bNF_rel_fun_a_a_b_b: (a > a > $o) > (b > b > $o) > (a > b) > (a > b) > $o).
% 3.10/1.75 thf(func_def_153, type, bNF_re1327926367_d_d_d: (a > b > $o) > (((a > c > c) > c > c) > ((b > d > d) > d > d) > $o) > (a > (a > c > c) > c > c) > (b > (b > d > d) > d > d) > $o).
% 3.10/1.75 thf(func_def_154, type, bNF_re1730737055_b_b_b: (a > b > $o) > (((a > a) > a) > ((b > b) > b) > $o) > (a > (a > a) > a) > (b > (b > b) > b) > $o).
% 3.10/1.75 thf(func_def_155, type, bNF_re1573878111_b_d_d: (a > b > $o) > (((c > c) > a > c > c) > ((d > d) > b > d > d) > $o) > (a > (c > c) > a > c > c) > (b > (d > d) > b > d > d) > $o).
% 3.10/1.75 thf(func_def_156, type, bNF_re1977372894_o_a_o: (a > b > $o) > ((a > $o) > (a > $o) > $o) > (a > a > $o) > (b > a > $o) > $o).
% 3.10/1.75 thf(func_def_157, type, bNF_re418251421_o_b_o: (a > b > $o) > ((a > $o) > (b > $o) > $o) > (a > a > $o) > (b > b > $o) > $o).
% 3.10/1.75 thf(func_def_158, type, bNF_re569932906_a_b_b: (a > b > $o) > ((a > a) > (b > b) > $o) > (a > a > a) > (b > b > b) > $o).
% 3.10/1.75 thf(func_def_159, type, bNF_re2114056618_c_c_c: (a > b > $o) > ((c > c) > (c > c) > $o) > (a > c > c) > (b > c > c) > $o).
% 3.10/1.75 thf(func_def_160, type, bNF_re802603882_c_d_d: (a > b > $o) > ((c > c) > (d > d) > $o) > (a > c > c) > (b > d > d) > $o).
% 3.10/1.75 thf(func_def_161, type, bNF_rel_fun_a_b_o_o: (a > b > $o) > ($o > $o > $o) > (a > $o) > (b > $o) > $o).
% 3.10/1.75 thf(func_def_162, type, bNF_rel_fun_a_b_a_a: (a > b > $o) > (a > a > $o) > (a > a) > (b > a) > $o).
% 3.10/1.75 thf(func_def_163, type, bNF_rel_fun_a_b_a_b: (a > b > $o) > (a > b > $o) > (a > a) > (b > b) > $o).
% 3.10/1.75 thf(func_def_164, type, bNF_rel_fun_a_b_c_d: (a > b > $o) > (c > d > $o) > (a > c) > (b > d) > $o).
% 3.10/1.75 thf(func_def_165, type, bNF_re1573506119_d_b_b: (b > (d > d) > $o) > (b > b > $o) > (b > b) > ((d > d) > b) > $o).
% 3.10/1.75 thf(func_def_166, type, bNF_re758172648_c_c_c: (b > a > $o) > ((c > c) > (c > c) > $o) > (b > c > c) > (a > c > c) > $o).
% 3.10/1.75 thf(func_def_167, type, bNF_re38477224_d_c_c: (b > a > $o) > ((d > d) > (c > c) > $o) > (b > d > d) > (a > c > c) > $o).
% 3.10/1.75 thf(func_def_168, type, bNF_rel_fun_b_a_o_o: (b > a > $o) > ($o > $o > $o) > (b > $o) > (a > $o) > $o).
% 3.10/1.75 thf(func_def_169, type, bNF_rel_fun_b_a_a_a: (b > a > $o) > (a > a > $o) > (b > a) > (a > a) > $o).
% 3.10/1.75 thf(func_def_170, type, bNF_rel_fun_b_a_b_a: (b > a > $o) > (b > a > $o) > (b > b) > (a > a) > $o).
% 3.10/1.75 thf(func_def_171, type, bNF_re1728528361_c_c_c: (b > b > $o) > ((c > c) > (c > c) > $o) > (b > c > c) > (b > c > c) > $o).
% 3.10/1.75 thf(func_def_172, type, bNF_re417075625_c_d_d: (b > b > $o) > ((c > c) > (d > d) > $o) > (b > c > c) > (b > d > d) > $o).
% 3.10/1.75 thf(func_def_173, type, bNF_re1844863849_d_d_d: (b > b > $o) > ((d > d) > (d > d) > $o) > (b > d > d) > (b > d > d) > $o).
% 3.10/1.75 thf(func_def_174, type, bNF_rel_fun_b_b_o_o: (b > b > $o) > ($o > $o > $o) > (b > $o) > (b > $o) > $o).
% 3.10/1.75 thf(func_def_175, type, bNF_rel_fun_b_b_a_a: (b > b > $o) > (a > a > $o) > (b > a) > (b > a) > $o).
% 3.10/1.75 thf(func_def_176, type, bNF_rel_fun_b_b_a_b: (b > b > $o) > (a > b > $o) > (b > a) > (b > b) > $o).
% 3.10/1.75 thf(func_def_177, type, bNF_rel_fun_b_b_b_b: (b > b > $o) > (b > b > $o) > (b > b) > (b > b) > $o).
% 3.10/1.75 thf(func_def_178, type, bNF_rel_fun_c_c_c_c: (c > c > $o) > (c > c > $o) > (c > c) > (c > c) > $o).
% 3.10/1.75 thf(func_def_179, type, bNF_re1313098655_d_d_d: (c > d > $o) > (((c > c) > c) > ((d > d) > d) > $o) > (c > (c > c) > c) > (d > (d > d) > d) > $o).
% 3.10/1.75 thf(func_def_180, type, bNF_re822780063_d_d_d: (c > d > $o) > ((c > c > c) > (d > d > d) > $o) > (c > c > c > c) > (d > d > d > d) > $o).
% 3.10/1.75 thf(func_def_181, type, bNF_re391428377_o_d_o: (c > d > $o) > ((c > $o) > (d > $o) > $o) > (c > c > $o) > (d > d > $o) > $o).
% 3.10/1.75 thf(func_def_182, type, bNF_re1972258794_c_d_d: (c > d > $o) > ((c > c) > (d > d) > $o) > (c > c > c) > (d > d > d) > $o).
% 3.10/1.75 thf(func_def_183, type, bNF_rel_fun_c_d_o_o: (c > d > $o) > ($o > $o > $o) > (c > $o) > (d > $o) > $o).
% 3.10/1.75 thf(func_def_184, type, bNF_rel_fun_c_d_a_b: (c > d > $o) > (a > b > $o) > (c > a) > (d > b) > $o).
% 3.10/1.75 thf(func_def_185, type, bNF_rel_fun_c_d_c_d: (c > d > $o) > (c > d > $o) > (c > c) > (d > d) > $o).
% 3.10/1.75 thf(func_def_186, type, bNF_rel_fun_d_d_d_d: (d > d > $o) > (d > d > $o) > (d > d) > (d > d) > $o).
% 3.10/1.75 thf(func_def_187, type, comple1702356924_a_c_c: (a > a > $o) > ((c > c) > (c > c) > $o) > (a > c > c) > $o).
% 3.10/1.75 thf(func_def_188, type, comple61207421_b_d_d: (b > b > $o) > ((d > d) > (d > d) > $o) > (b > d > d) > $o).
% 3.10/1.75 thf(func_def_189, type, comple787379047ne_c_c: (c > c > $o) > (c > c > $o) > (c > c) > $o).
% 3.10/1.75 thf(func_def_190, type, comple1615148455ne_d_d: (d > d > $o) > (d > d > $o) > (d > d) > $o).
% 3.10/1.75 thf(func_def_191, type, ffold_a_c: (a > c > c) > c > fset_a > c).
% 3.10/1.75 thf(func_def_192, type, ffold_b_d: (b > d > d) > d > fset_b > d).
% 3.10/1.75 thf(func_def_193, type, finite746615251te_a_c: (a > c > c) > $o).
% 3.10/1.75 thf(func_def_194, type, finite1574384658te_b_c: (b > c > c) > $o).
% 3.10/1.75 thf(func_def_195, type, finite1574384659te_b_d: (b > d > d) > $o).
% 3.10/1.75 thf(func_def_196, type, finite40241358em_a_c: (a > c > c) > $o).
% 3.10/1.75 thf(func_def_197, type, finite868010765em_b_c: (b > c > c) > $o).
% 3.10/1.75 thf(func_def_198, type, finite868010766em_b_d: (b > d > d) > $o).
% 3.10/1.75 thf(func_def_199, type, finite19304177ms_a_c: (a > c > c) > $o).
% 3.10/1.75 thf(func_def_200, type, finite847073585ms_b_d: (b > d > d) > $o).
% 3.10/1.75 thf(func_def_201, type, finite1511629766ph_a_a: (a > a > a) > a > set_a > a > $o).
% 3.10/1.75 thf(func_def_202, type, finite1511629767ph_a_b: (a > b > b) > b > set_a > b > $o).
% 3.10/1.75 thf(func_def_203, type, finite1511629768ph_a_c: (a > c > c) > c > set_a > c > $o).
% 3.10/1.75 thf(func_def_204, type, finite1511629769ph_a_d: (a > d > d) > d > set_a > d > $o).
% 3.10/1.75 thf(func_def_205, type, finite191915525ph_b_a: (b > a > a) > a > set_b > a > $o).
% 3.10/1.75 thf(func_def_206, type, finite191915528ph_b_d: (b > d > d) > d > set_b > d > $o).
% 3.10/1.75 thf(func_def_207, type, finite1019684932ph_c_a: (c > a > a) > a > set_c > a > $o).
% 3.10/1.75 thf(func_def_208, type, finite1019684933ph_c_b: (c > b > b) > b > set_c > b > $o).
% 3.10/1.75 thf(func_def_209, type, finite1019684934ph_c_c: (c > c > c) > c > set_c > c > $o).
% 3.10/1.75 thf(func_def_210, type, finite1019684935ph_c_d: (c > d > d) > d > set_c > d > $o).
% 3.10/1.75 thf(func_def_211, type, comp_a_a_a_c_c_c_c_a: ((a > a) > a > c > c) > (((c > c) > a) > a > a) > ((c > c) > a) > a > c > c).
% 3.10/1.75 thf(func_def_212, type, comp_a_b_a_d_d_c_c_b: ((a > b) > a > d > d) > (((c > c) > b) > a > b) > ((c > c) > b) > a > d > d).
% 3.10/1.75 thf(func_def_213, type, comp_b_a_b_c_c_d_d_a: ((b > a) > b > c > c) > (((d > d) > a) > b > a) > ((d > d) > a) > b > c > c).
% 3.10/1.75 thf(func_def_214, type, comp_b_b_b_d_d_d_d_b: ((b > b) > b > d > d) > (((d > d) > b) > b > b) > ((d > d) > b) > b > d > d).
% 3.10/1.75 thf(func_def_215, type, comp_c_c_c_c_a: ((c > c) > c > c) > (a > c > c) > a > c > c).
% 3.10/1.75 thf(func_def_216, type, comp_c_c_a_c_c: ((c > c) > a) > ((c > c) > c > c) > (c > c) > a).
% 3.10/1.75 thf(func_def_217, type, comp_c_c_a_a: ((c > c) > a) > (a > c > c) > a > a).
% 3.10/1.75 thf(func_def_218, type, comp_c_c_b_a: ((c > c) > b) > (a > c > c) > a > b).
% 3.10/1.75 thf(func_def_219, type, comp_c_c_b_b: ((c > c) > b) > (b > c > c) > b > b).
% 3.10/1.75 thf(func_def_220, type, comp_d_d_d_d_b: ((d > d) > d > d) > (b > d > d) > b > d > d).
% 3.10/1.75 thf(func_def_221, type, comp_d_d_b_b: ((d > d) > b) > (b > d > d) > b > b).
% 3.10/1.75 thf(func_def_222, type, comp_a_c_c_a: (a > c > c) > (a > a) > a > c > c).
% 3.10/1.75 thf(func_def_223, type, comp_a_c_c_b: (a > c > c) > (b > a) > b > c > c).
% 3.10/1.75 thf(func_def_224, type, comp_a_a_c_c: (a > a) > ((c > c) > a) > (c > c) > a).
% 3.10/1.75 thf(func_def_225, type, comp_a_a_a: (a > a) > (a > a) > a > a).
% 3.10/1.75 thf(func_def_226, type, comp_a_a_b: (a > a) > (b > a) > b > a).
% 3.10/1.75 thf(func_def_227, type, comp_a_b_a: (a > b) > (a > a) > a > b).
% 3.10/1.75 thf(func_def_228, type, comp_a_b_b: (a > b) > (b > a) > b > b).
% 3.10/1.75 thf(func_def_229, type, comp_b_c_c_a: (b > c > c) > (a > b) > a > c > c).
% 3.10/1.75 thf(func_def_230, type, comp_b_c_c_b: (b > c > c) > (b > b) > b > c > c).
% 3.10/1.75 thf(func_def_231, type, comp_b_d_d_a: (b > d > d) > (a > b) > a > d > d).
% 3.10/1.75 thf(func_def_232, type, comp_b_d_d_b: (b > d > d) > (b > b) > b > d > d).
% 3.10/1.75 thf(func_def_233, type, comp_b_a_a: (b > a) > (a > b) > a > a).
% 3.10/1.75 thf(func_def_234, type, comp_b_a_b: (b > a) > (b > b) > b > a).
% 3.10/1.75 thf(func_def_235, type, comp_b_b_d_d: (b > b) > ((d > d) > b) > (d > d) > b).
% 3.10/1.75 thf(func_def_236, type, comp_b_b_a: (b > b) > (a > b) > a > b).
% 3.10/1.75 thf(func_def_237, type, comp_b_b_b: (b > b) > (b > b) > b > b).
% 3.10/1.75 thf(func_def_238, type, comp_c_c_c: (c > c) > (c > c) > c > c).
% 3.10/1.75 thf(func_def_239, type, comp_d_d_d: (d > d) > (d > d) > d > d).
% 3.10/1.75 thf(func_def_240, type, fun_upd_a_c_c: (a > c > c) > a > (c > c) > a > c > c).
% 3.10/1.75 thf(func_def_241, type, fun_upd_b_d_d: (b > d > d) > b > (d > d) > b > d > d).
% 3.10/1.75 thf(func_def_242, type, fun_upd_c_c: (c > c) > c > c > c > c).
% 3.10/1.75 thf(func_def_243, type, fun_upd_d_d: (d > d) > d > d > d > d).
% 3.10/1.75 thf(func_def_244, type, map_fu676564502_a_c_c: ((a > c > c) > a > c > c) > (((a > a) > a > c > c) > (a > a) > a > c > c) > ((a > c > c) > (a > a) > a > c > c) > (a > c > c) > (a > a) > a > c > c).
% 3.10/1.75 thf(func_def_245, type, map_fu232832790_a_c_c: ((a > c > c) > b > d > d) > (((b > b) > b > d > d) > (a > a) > a > c > c) > ((b > d > d) > (b > b) > b > d > d) > (a > c > c) > (a > a) > a > c > c).
% 3.10/1.75 thf(func_def_246, type, map_fu961723106_a_c_c: ((a > a) > a > a) > ((a > c > c) > a > c > c) > ((a > a) > a > c > c) > (a > a) > a > c > c).
% 3.10/1.75 thf(func_def_247, type, map_fu75729569_a_c_c: ((a > a) > b > b) > ((b > d > d) > a > c > c) > ((b > b) > b > d > d) > (a > a) > a > c > c).
% 3.10/1.75 thf(func_def_248, type, map_fu981964822_b_d_d: ((b > d > d) > a > c > c) > (((a > a) > a > c > c) > (b > b) > b > d > d) > ((a > c > c) > (a > a) > a > c > c) > (b > d > d) > (b > b) > b > d > d).
% 3.10/1.75 thf(func_def_249, type, map_fu538233110_b_d_d: ((b > d > d) > b > d > d) > (((b > b) > b > d > d) > (b > b) > b > d > d) > ((b > d > d) > (b > b) > b > d > d) > (b > d > d) > (b > b) > b > d > d).
% 3.10/1.75 thf(func_def_250, type, map_fu1569200227_b_d_d: ((b > b) > a > a) > ((a > c > c) > b > d > d) > ((a > a) > a > c > c) > (b > b) > b > d > d).
% 3.10/1.75 thf(func_def_251, type, map_fu683206690_b_d_d: ((b > b) > b > b) > ((b > d > d) > b > d > d) > ((b > b) > b > d > d) > (b > b) > b > d > d).
% 3.10/1.75 thf(func_def_252, type, map_fun_a_c_c_a_c_c: (a > c > c) > (a > c > c) > ((c > c) > a) > a > c > c).
% 3.10/1.75 thf(func_def_253, type, map_fun_a_c_c_a_a: (a > c > c) > (a > a) > ((c > c) > a) > a > a).
% 3.10/1.75 thf(func_def_254, type, map_fun_a_c_c_b_d_d: (a > c > c) > (b > d > d) > ((c > c) > b) > a > d > d).
% 3.10/1.75 thf(func_def_255, type, map_fun_a_c_c_b_b: (a > c > c) > (b > b) > ((c > c) > b) > a > b).
% 3.10/1.75 thf(func_def_256, type, map_fun_a_c_c_c_c: (a > c > c) > (c > c) > ((c > c) > c) > a > c).
% 3.10/1.75 thf(func_def_257, type, map_fun_a_a_c_c_c_c: (a > a) > ((c > c) > c > c) > (a > c > c) > a > c > c).
% 3.10/1.75 thf(func_def_258, type, map_fun_a_a_a_c_c: (a > a) > (a > c > c) > (a > a) > a > c > c).
% 3.10/1.75 thf(func_def_259, type, map_fun_a_a_a_a: (a > a) > (a > a) > (a > a) > a > a).
% 3.10/1.75 thf(func_def_260, type, map_fun_a_a_b_d_d: (a > a) > (b > d > d) > (a > b) > a > d > d).
% 3.10/1.75 thf(func_def_261, type, map_fun_a_b_d_d_c_c: (a > b) > ((d > d) > c > c) > (b > d > d) > a > c > c).
% 3.10/1.75 thf(func_def_262, type, map_fun_a_b_b_a: (a > b) > (b > a) > (b > b) > a > a).
% 3.10/1.75 thf(func_def_263, type, map_fun_a_c_c_c_c2: (a > c) > (c > c > c) > (c > c) > a > c > c).
% 3.10/1.75 thf(func_def_264, type, map_fun_b_d_d_a_c_c: (b > d > d) > (a > c > c) > ((d > d) > a) > b > c > c).
% 3.10/1.75 thf(func_def_265, type, map_fun_b_d_d_a_a: (b > d > d) > (a > a) > ((d > d) > a) > b > a).
% 3.10/1.75 thf(func_def_266, type, map_fun_b_d_d_b_d_d: (b > d > d) > (b > d > d) > ((d > d) > b) > b > d > d).
% 3.10/1.75 thf(func_def_267, type, map_fun_b_d_d_b_b: (b > d > d) > (b > b) > ((d > d) > b) > b > b).
% 3.10/1.75 thf(func_def_268, type, map_fun_b_d_d_d_d: (b > d > d) > (d > d) > ((d > d) > d) > b > d).
% 3.10/1.75 thf(func_def_269, type, map_fun_b_a_c_c_d_d: (b > a) > ((c > c) > d > d) > (a > c > c) > b > d > d).
% 3.10/1.75 thf(func_def_270, type, map_fun_b_a_a_b: (b > a) > (a > b) > (a > a) > b > b).
% 3.10/1.75 thf(func_def_271, type, map_fun_b_b_d_d_d_d: (b > b) > ((d > d) > d > d) > (b > d > d) > b > d > d).
% 3.10/1.75 thf(func_def_272, type, map_fun_b_b_a_c_c: (b > b) > (a > c > c) > (b > a) > b > c > c).
% 3.10/1.75 thf(func_def_273, type, map_fun_b_b_b_d_d: (b > b) > (b > d > d) > (b > b) > b > d > d).
% 3.10/1.75 thf(func_def_274, type, map_fun_b_b_b_b: (b > b) > (b > b) > (b > b) > b > b).
% 3.10/1.75 thf(func_def_275, type, map_fun_b_d_d_d_d2: (b > d) > (d > d > d) > (d > d) > b > d > d).
% 3.10/1.75 thf(func_def_276, type, map_fun_c_a_c_c_c: (c > a) > ((c > c) > c) > (a > c > c) > c > c).
% 3.10/1.75 thf(func_def_277, type, map_fun_c_c_a_c_c: (c > c) > (a > c > c) > (c > a) > c > c > c).
% 3.10/1.75 thf(func_def_278, type, map_fun_c_c_c_c: (c > c) > (c > c) > (c > c) > c > c).
% 3.10/1.75 thf(func_def_279, type, map_fun_d_b_d_d_d: (d > b) > ((d > d) > d) > (b > d > d) > d > d).
% 3.10/1.75 thf(func_def_280, type, map_fun_d_d_b_d_d: (d > d) > (b > d > d) > (d > b) > d > d > d).
% 3.10/1.75 thf(func_def_281, type, map_fun_d_d_d_d: (d > d) > (d > d) > (d > d) > d > d).
% 3.10/1.75 thf(func_def_282, type, plus_plus_multiset_a: multiset_a > multiset_a > multiset_a).
% 3.10/1.75 thf(func_def_283, type, plus_plus_multiset_b: multiset_b > multiset_b > multiset_b).
% 3.10/1.75 thf(func_def_284, type, if_a: $o > a > a > a).
% 3.10/1.75 thf(func_def_285, type, if_b: $o > b > b > b).
% 3.10/1.75 thf(func_def_286, type, if_c: $o > c > c > c).
% 3.10/1.75 thf(func_def_287, type, if_d: $o > d > d > d).
% 3.10/1.75 thf(func_def_288, type, fold_mset_a_c: (a > c > c) > c > multiset_a > c).
% 3.10/1.75 thf(func_def_289, type, fold_mset_b_d: (b > d > d) > d > multiset_b > d).
% 3.10/1.75 thf(func_def_290, type, ord_le469275661_d_d_o: ((a > c > c) > (b > d > d) > $o) > ((a > c > c) > (b > d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_291, type, ord_le1338099484_d_d_o: ((c > c) > (d > d) > $o) > ((c > c) > (d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_292, type, ord_less_eq_a_b_o: (a > b > $o) > (a > b > $o) > $o).
% 3.10/1.75 thf(func_def_293, type, ord_less_eq_c_d_o: (c > d > $o) > (c > d > $o) > $o).
% 3.10/1.75 thf(func_def_294, type, partia186872226_c_c_a: ((c > c) > (c > c) > $o) > (a > c > c) > (a > c > c) > $o).
% 3.10/1.75 thf(func_def_295, type, partia1709452835_d_d_b: ((d > d) > (d > d) > $o) > (b > d > d) > (b > d > d) > $o).
% 3.10/1.75 thf(func_def_296, type, partia1494029680_c_c_c: (c > c > $o) > (c > c) > (c > c) > $o).
% 3.10/1.75 thf(func_def_297, type, partia1041982257_d_d_d: (d > d > $o) > (d > d) > (d > d) > $o).
% 3.10/1.75 thf(func_def_298, type, quotient3_c_c_c_c: ((c > c) > (c > c) > $o) > ((c > c) > c > c) > ((c > c) > c > c) > $o).
% 3.10/1.75 thf(func_def_299, type, quotient3_c_c_d_d: ((c > c) > (c > c) > $o) > ((c > c) > d > d) > ((d > d) > c > c) > $o).
% 3.10/1.75 thf(func_def_300, type, quotient3_c_c_a: ((c > c) > (c > c) > $o) > ((c > c) > a) > (a > c > c) > $o).
% 3.10/1.75 thf(func_def_301, type, quotient3_d_d_c_c: ((d > d) > (d > d) > $o) > ((d > d) > c > c) > ((c > c) > d > d) > $o).
% 3.10/1.75 thf(func_def_302, type, quotient3_d_d_d_d: ((d > d) > (d > d) > $o) > ((d > d) > d > d) > ((d > d) > d > d) > $o).
% 3.10/1.75 thf(func_def_303, type, quotient3_d_d_b: ((d > d) > (d > d) > $o) > ((d > d) > b) > (b > d > d) > $o).
% 3.10/1.75 thf(func_def_304, type, quotient3_a_c_c: (a > a > $o) > (a > c > c) > ((c > c) > a) > $o).
% 3.10/1.75 thf(func_def_305, type, quotient3_a_a: (a > a > $o) > (a > a) > (a > a) > $o).
% 3.10/1.75 thf(func_def_306, type, quotient3_a_b: (a > a > $o) > (a > b) > (b > a) > $o).
% 3.10/1.75 thf(func_def_307, type, quotient3_b_d_d: (b > b > $o) > (b > d > d) > ((d > d) > b) > $o).
% 3.10/1.75 thf(func_def_308, type, quotient3_b_a: (b > b > $o) > (b > a) > (a > b) > $o).
% 3.10/1.75 thf(func_def_309, type, quotient3_b_b: (b > b > $o) > (b > b) > (b > b) > $o).
% 3.10/1.75 thf(func_def_310, type, relcom1813708708_b_d_d: ((a > c > c) > (a > c > c) > $o) > ((a > c > c) > (b > d > d) > $o) > (a > c > c) > (b > d > d) > $o).
% 3.10/1.75 thf(func_def_311, type, relcom1887247779_b_d_d: ((a > c > c) > (b > d > d) > $o) > ((b > d > d) > (b > d > d) > $o) > (a > c > c) > (b > d > d) > $o).
% 3.10/1.75 thf(func_def_312, type, relcompp_c_c_c_c_c_c: ((c > c) > (c > c) > $o) > ((c > c) > (c > c) > $o) > (c > c) > (c > c) > $o).
% 3.10/1.75 thf(func_def_313, type, relcompp_c_c_c_c_d_d: ((c > c) > (c > c) > $o) > ((c > c) > (d > d) > $o) > (c > c) > (d > d) > $o).
% 3.10/1.75 thf(func_def_314, type, relcompp_c_c_d_d_d_d: ((c > c) > (d > d) > $o) > ((d > d) > (d > d) > $o) > (c > c) > (d > d) > $o).
% 3.10/1.75 thf(func_def_315, type, relcompp_d_d_d_d_d_d: ((d > d) > (d > d) > $o) > ((d > d) > (d > d) > $o) > (d > d) > (d > d) > $o).
% 3.10/1.75 thf(func_def_316, type, relcompp_a_a_a: (a > a > $o) > (a > a > $o) > a > a > $o).
% 3.10/1.75 thf(func_def_317, type, relcompp_a_a_b: (a > a > $o) > (a > b > $o) > a > b > $o).
% 3.10/1.75 thf(func_def_318, type, relcompp_a_b_b: (a > b > $o) > (b > b > $o) > a > b > $o).
% 3.10/1.75 thf(func_def_319, type, relcompp_b_b_b: (b > b > $o) > (b > b > $o) > b > b > $o).
% 3.10/1.75 thf(func_def_320, type, relcompp_c_c_d: (c > c > $o) > (c > d > $o) > c > d > $o).
% 3.10/1.75 thf(func_def_321, type, relcompp_c_d_d: (c > d > $o) > (d > d > $o) > c > d > $o).
% 3.10/1.75 thf(func_def_322, type, collect_a: (a > $o) > set_a).
% 3.10/1.75 thf(func_def_323, type, collect_b: (b > $o) > set_b).
% 3.10/1.75 thf(func_def_324, type, collect_c: (c > $o) > set_c).
% 3.10/1.75 thf(func_def_325, type, collect_d: (d > $o) > set_d).
% 3.10/1.75 thf(func_def_326, type, bi_total_a_c_c_b_d_d: ((a > c > c) > (b > d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_327, type, bi_total_c_c_d_d: ((c > c) > (d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_328, type, bi_total_a_b: (a > b > $o) > $o).
% 3.10/1.75 thf(func_def_329, type, bi_total_c_d: (c > d > $o) > $o).
% 3.10/1.75 thf(func_def_330, type, bi_uni844770768_b_d_d: ((a > c > c) > (b > d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_331, type, bi_unique_c_c_d_d: ((c > c) > (d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_332, type, bi_unique_a_b: (a > b > $o) > $o).
% 3.10/1.75 thf(func_def_333, type, bi_unique_c_d: (c > d > $o) > $o).
% 3.10/1.75 thf(func_def_334, type, left_t1993719015_b_d_d: ((a > c > c) > (b > d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_335, type, left_total_c_c_d_d: ((c > c) > (d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_336, type, left_total_a_b: (a > b > $o) > $o).
% 3.10/1.75 thf(func_def_337, type, left_total_b_b: (b > b > $o) > $o).
% 3.10/1.75 thf(func_def_338, type, left_total_c_d: (c > d > $o) > $o).
% 3.10/1.75 thf(func_def_339, type, left_total_d_d: (d > d > $o) > $o).
% 3.10/1.75 thf(func_def_340, type, left_u1654071760_b_d_d: ((a > c > c) > (b > d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_341, type, left_unique_c_c_d_d: ((c > c) > (d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_342, type, left_unique_d_d_d_d: ((d > d) > (d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_343, type, left_unique_a_a: (a > a > $o) > $o).
% 3.10/1.75 thf(func_def_344, type, left_unique_a_b: (a > b > $o) > $o).
% 3.10/1.75 thf(func_def_345, type, left_unique_c_c: (c > c > $o) > $o).
% 3.10/1.75 thf(func_def_346, type, left_unique_c_d: (c > d > $o) > $o).
% 3.10/1.75 thf(func_def_347, type, left_unique_d_d: (d > d > $o) > $o).
% 3.10/1.75 thf(func_def_348, type, rev_implies: $o > $o > $o).
% 3.10/1.75 thf(func_def_349, type, right_386984928_b_d_d: ((a > c > c) > (b > d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_350, type, right_total_c_c_d_d: ((c > c) > (d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_351, type, right_total_d_d_d_d: ((d > d) > (d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_352, type, right_total_a_a: (a > a > $o) > $o).
% 3.10/1.75 thf(func_def_353, type, right_total_a_b: (a > b > $o) > $o).
% 3.10/1.75 thf(func_def_354, type, right_total_c_c: (c > c > $o) > $o).
% 3.10/1.75 thf(func_def_355, type, right_total_c_d: (c > d > $o) > $o).
% 3.10/1.75 thf(func_def_356, type, right_total_d_d: (d > d > $o) > $o).
% 3.10/1.75 thf(func_def_357, type, right_2142487_b_d_d: ((a > c > c) > (b > d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_358, type, right_unique_c_c_d_d: ((c > c) > (d > d) > $o) > $o).
% 3.10/1.75 thf(func_def_359, type, right_unique_a_b: (a > b > $o) > $o).
% 3.10/1.75 thf(func_def_360, type, right_unique_b_b: (b > b > $o) > $o).
% 3.10/1.75 thf(func_def_361, type, right_unique_c_d: (c > d > $o) > $o).
% 3.10/1.75 thf(func_def_362, type, right_unique_d_d: (d > d > $o) > $o).
% 3.10/1.75 thf(func_def_363, type, member_a: a > set_a > $o).
% 3.10/1.75 thf(func_def_364, type, member_b: b > set_b > $o).
% 3.10/1.75 thf(func_def_365, type, member_c: c > set_c > $o).
% 3.10/1.75 thf(func_def_366, type, member_d: d > set_d > $o).
% 3.10/1.75 thf(func_def_367, type, a2: a > b > $o).
% 3.10/1.75 thf(func_def_368, type, b2: c > d > $o).
% 3.10/1.75 thf(func_def_369, type, f1: a > c > c).
% 3.10/1.75 thf(func_def_370, type, f2: b > d > d).
% 3.10/1.75 thf(func_def_382, type, sK0: a > (a > c > c) > (a > c > c) > a).
% 3.10/1.75 thf(func_def_383, type, sK1: (a > c > c) > (a > c > c) > a > a).
% 3.10/1.75 thf(func_def_384, type, sK2: (a > c > c) > (a > c > c) > a).
% 3.10/1.75 thf(func_def_385, type, sK3: (a > a) > (a > c > c) > a > c > c).
% 3.10/1.75 thf(func_def_386, type, sK4: (a > a) > (a > c > c) > a).
% 3.10/1.75 thf(func_def_387, type, sK5: (a > a) > (a > c > c) > a).
% 3.10/1.75 thf(func_def_389, type, ph7: !>[X0: $tType]:(X0)).
% 3.10/1.75 thf(f926,plain,(
% 3.10/1.75 $false),
% 3.10/1.75 inference(subsumption_resolution,[status(thm)],[f906,f919])).
% 3.10/1.75 thf(f919,plain,(
% 3.10/1.75 ((finite746615251te_a_c @ f1) = $true)),
% 3.10/1.75 inference(cnf_transformation,[status(thm)],[f422])).
% 3.10/1.75 thf(f422,plain,(
% 3.10/1.75 ((finite746615251te_a_c @ f1) = $true)),
% 3.10/1.75 inference(fool_elimination,[status(thm)],[f421])).
% 3.10/1.75 thf(f421,plain,(
% 3.10/1.75 (finite746615251te_a_c @ f1)),
% 3.10/1.75 inference(rectify,[status(thm)],[f1])).
% 3.10/1.75 thf(f1,axiom,(
% 3.10/1.75 (finite746615251te_a_c @ f1)),
% 3.10/1.75 file('/export/starexec/sandbox2/tmp/tmp.wLx8bn5BWO/DTF2THF_16955.p',fact_0_assms_I2_J)).
% 3.10/1.75 thf(f906,plain,(
% 3.10/1.75 ((finite746615251te_a_c @ f1) != $true)),
% 3.10/1.75 inference(cnf_transformation,[status(thm)],[f877])).
% 3.10/1.75 thf(f877,plain,(
% 3.10/1.75 ((finite746615251te_a_c @ f1) != $true)),
% 3.10/1.75 inference(flattening,[status(thm)],[f616])).
% 3.10/1.75 thf(f616,plain,(
% 3.10/1.75 ~((finite746615251te_a_c @ f1) = $true)),
% 3.10/1.75 inference(fool_elimination,[status(thm)],[f615])).
% 3.10/1.75 thf(f615,plain,(
% 3.10/1.75 ~(finite746615251te_a_c @ f1)),
% 3.10/1.75 inference(rectify,[status(thm)],[f365])).
% 3.10/1.75 thf(f365,negated_conjecture,(
% 3.10/1.75 ~(finite746615251te_a_c @ f1)),
% 3.10/1.75 inference(negated_conjecture,[status(cth)],[f364])).
% 3.10/1.75 thf(f364,conjecture,(
% 3.10/1.75 (finite746615251te_a_c @ f1)),
% 3.10/1.75 file('/export/starexec/sandbox2/tmp/tmp.wLx8bn5BWO/DTF2THF_16955.p',conj_0)).
% 3.10/1.75 % SZS output end Proof for DTF2THF_16955
% 3.10/1.75 % (17178)------------------------------
% 3.10/1.75 % (17178)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.10/1.75 % (17178)Termination reason: Refutation
% 3.10/1.75
% 3.10/1.75 % (17178)Memory used [KB]: 7164
% 3.10/1.75 % (17178)Time elapsed: 0.088 s
% 3.10/1.75 % (17178)Instructions burned: 148 (million)
% 3.10/1.75 % (17178)------------------------------
% 3.10/1.75 % (17178)------------------------------
% 3.10/1.75 % (17172)Success in time 0.115 s
%------------------------------------------------------------------------------