TSTP Solution File: ITP128^1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : ITP128^1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n022.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 : 600s
% DateTime : Sat Jul 16 23:44:45 EDT 2022
% Result : Theorem 2.06s 2.23s
% Output : CNFRefutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 509
% Syntax : Number of formulae : 1923 ( 398 unt; 455 typ; 0 def)
% Number of atoms : 8940 (5691 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 25287 (1121 ~;1817 |; 4 &;22248 @)
% ( 0 <=>; 97 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 13 ( 12 usr)
% Number of type conns : 14000 (14000 >; 0 *; 0 +; 0 <<)
% Number of symbols : 446 ( 443 usr; 2 con; 0-7 aty)
% Number of variables : 6736 ( 119 ^6608 !; 9 ?;6736 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_c,type,
c: $tType ).
thf(tp_d,type,
d: $tType ).
thf(tp_fset_a,type,
fset_a: $tType ).
thf(tp_fset_b,type,
fset_b: $tType ).
thf(tp_multiset_a,type,
multiset_a: $tType ).
thf(tp_multiset_b,type,
multiset_b: $tType ).
thf(tp_set_a,type,
set_a: $tType ).
thf(tp_set_b,type,
set_b: $tType ).
thf(tp_set_c,type,
set_c: $tType ).
thf(tp_set_d,type,
set_d: $tType ).
thf(tp_a2,type,
a2: a > b > $o ).
thf(tp_b2,type,
b2: c > d > $o ).
thf(tp_bNF_re1062117919_b_d_d,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(tp_bNF_re1071888283_a_b_o,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(tp_bNF_re1088547499_b_o_o,type,
bNF_re1088547499_b_o_o: ( ( a > b ) > ( a > b ) > $o ) > ( $o > $o > $o ) > ( ( a > b ) > $o ) > ( ( a > b ) > $o ) > $o ).
thf(tp_bNF_re1093913501_a_b_b,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(tp_bNF_re1133483099_a_b_o,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(tp_bNF_re1138812345_b_b_b,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(tp_bNF_re1143700905_c_c_c,type,
bNF_re1143700905_c_c_c: ( a > a > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > ( a > c > c ) > $o ).
thf(tp_bNF_re1145286186_b_d_d,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(tp_bNF_re1160226589_b_d_d,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(tp_bNF_re1164948833_d_d_d,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(tp_bNF_re1165460699_a_b_o,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(tp_bNF_re1177671453_a_a_a,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(tp_bNF_re1209333166_c_b_d,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(tp_bNF_re1217999849_a_b_o,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(tp_bNF_re1222471293_b_b_b,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(tp_bNF_re1238578079_d_d_d,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(tp_bNF_re1256092317_b_o_o,type,
bNF_re1256092317_b_o_o: ( ( a > c > c ) > ( a > b ) > $o ) > ( $o > $o > $o ) > ( ( a > c > c ) > $o ) > ( ( a > b ) > $o ) > $o ).
thf(tp_bNF_re1258259453_a_a_a,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(tp_bNF_re1303182826_d_c_d,type,
bNF_re1303182826_d_c_d: ( ( c > c ) > ( d > d ) > $o ) > ( c > d > $o ) > ( ( c > c ) > c ) > ( ( d > d ) > d ) > $o ).
thf(tp_bNF_re1306877487_o_a_o,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(tp_bNF_re1307884917_a_b_b,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(tp_bNF_re131001756_o_b_o,type,
bNF_re131001756_o_b_o: ( a > a > $o ) > ( ( a > $o ) > ( b > $o ) > $o ) > ( a > a > $o ) > ( a > b > $o ) > $o ).
thf(tp_bNF_re1310167325_a_a_o,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(tp_bNF_re1311853791_b_c_c,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(tp_bNF_re1313098655_d_d_d,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(tp_bNF_re1327926367_d_d_d,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(tp_bNF_re1342462312_a_c_c,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(tp_bNF_re134330537_a_o_o,type,
bNF_re134330537_a_o_o: ( ( a > a ) > ( a > a ) > $o ) > ( $o > $o > $o ) > ( ( a > a ) > $o ) > ( ( a > a ) > $o ) > $o ).
thf(tp_bNF_re1391160029_d_d_d,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(tp_bNF_re1403739741_a_a_o,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(tp_bNF_re1409962461_b_c_c,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(tp_bNF_re1412708073_b_d_d,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(tp_bNF_re141854397_b_d_d,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(tp_bNF_re1424479610_b_d_d,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(tp_bNF_re1424579386_a_a_a,type,
bNF_re1424579386_a_a_a: ( ( c > c ) > a > $o ) > ( a > a > $o ) > ( ( c > c ) > a ) > ( a > a ) > $o ).
thf(tp_bNF_re1450278895_o_a_o,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(tp_bNF_re145798749_a_a_o,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(tp_bNF_re1463366826_b_o_o,type,
bNF_re1463366826_b_o_o: ( ( a > a ) > ( a > b ) > $o ) > ( $o > $o > $o ) > ( ( a > a ) > $o ) > ( ( a > b ) > $o ) > $o ).
thf(tp_bNF_re1482032989_c_c_c,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(tp_bNF_re1501709470_d_o_o,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(tp_bNF_re1503602041_a_a_a,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(tp_bNF_re1507718559_b_d_d,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(tp_bNF_re1509948838_d_d_d,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(tp_bNF_re1514436479_a_a_b,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(tp_bNF_re1565463783_b_c_c,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(tp_bNF_re1573506119_d_b_b,type,
bNF_re1573506119_d_b_b: ( b > ( d > d ) > $o ) > ( b > b > $o ) > ( b > b ) > ( ( d > d ) > b ) > $o ).
thf(tp_bNF_re1573878111_b_d_d,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(tp_bNF_re1591514407_a_c_c,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(tp_bNF_re1606289753_b_d_d,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(tp_bNF_re1620723804_a_o_o,type,
bNF_re1620723804_a_o_o: ( ( a > d > d ) > ( a > a ) > $o ) > ( $o > $o > $o ) > ( ( a > d > d ) > $o ) > ( ( a > a ) > $o ) > $o ).
thf(tp_bNF_re1645058365_a_a_a,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(tp_bNF_re1652452067_a_a_o,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(tp_bNF_re1661760168_b_d_d,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(tp_bNF_re1665173865_b_c_c,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(tp_bNF_re1684125987_a_a_o,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(tp_bNF_re1690123229_o_a_o,type,
bNF_re1690123229_o_a_o: ( a > a > $o ) > ( ( a > $o ) > ( a > $o ) > $o ) > ( a > a > $o ) > ( a > a > $o ) > $o ).
thf(tp_bNF_re1690311157_a_a_a,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(tp_bNF_re1691224489_a_c_c,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(tp_bNF_re1698572662_a_a_b,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(tp_bNF_re1703323451_b_b_b,type,
bNF_re1703323451_b_b_b: ( ( d > d ) > b > $o ) > ( b > b > $o ) > ( ( d > d ) > b ) > ( b > b ) > $o ).
thf(tp_bNF_re1705765981_a_a_a,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(tp_bNF_re1709888353_d_d_d,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(tp_bNF_re1728528361_c_c_c,type,
bNF_re1728528361_c_c_c: ( b > b > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( b > c > c ) > ( b > c > c ) > $o ).
thf(tp_bNF_re1730737055_b_b_b,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(tp_bNF_re1761470250_b_d_d,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(tp_bNF_re1787520874_a_d_d,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(tp_bNF_re1794062813_d_d_b,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(tp_bNF_re1795127658_d_a_b,type,
bNF_re1795127658_d_a_b: ( ( c > c ) > ( d > d ) > $o ) > ( a > b > $o ) > ( ( c > c ) > a ) > ( ( d > d ) > b ) > $o ).
thf(tp_bNF_re1809376028_o_a_o,type,
bNF_re1809376028_o_a_o: ( a > a > $o ) > ( ( b > $o ) > ( a > $o ) > $o ) > ( a > b > $o ) > ( a > a > $o ) > $o ).
thf(tp_bNF_re1812319081_a_b_o,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(tp_bNF_re1844863849_d_d_d,type,
bNF_re1844863849_d_d_d: ( b > b > $o ) > ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > ( b > d > d ) > $o ).
thf(tp_bNF_re1855937521_d_d_o,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(tp_bNF_re1867846365_a_a_o,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(tp_bNF_re1895239662_o_b_o,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(tp_bNF_re1900831913_a_a_o,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(tp_bNF_re1906994858_a_o_o,type,
bNF_re1906994858_a_o_o: ( ( a > b ) > ( a > a ) > $o ) > ( $o > $o > $o ) > ( ( a > b ) > $o ) > ( ( a > a ) > $o ) > $o ).
thf(tp_bNF_re19414301_d_d_o,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(tp_bNF_re1941803873_d_d_d,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(tp_bNF_re1955249705_c_d_d,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(tp_bNF_re1972258794_c_d_d,type,
bNF_re1972258794_c_d_d: ( c > d > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( c > c > c ) > ( d > d > d ) > $o ).
thf(tp_bNF_re1977372894_o_a_o,type,
bNF_re1977372894_o_a_o: ( a > b > $o ) > ( ( a > $o ) > ( a > $o ) > $o ) > ( a > a > $o ) > ( b > a > $o ) > $o ).
thf(tp_bNF_re1979731817_c_d_d,type,
bNF_re1979731817_c_d_d: ( a > a > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( a > c > c ) > ( a > d > d ) > $o ).
thf(tp_bNF_re199323387_b_o_o,type,
bNF_re199323387_b_o_o: ( ( d > d ) > b > $o ) > ( $o > $o > $o ) > ( ( d > d ) > $o ) > ( b > $o ) > $o ).
thf(tp_bNF_re2038021754_d_d_a,type,
bNF_re2038021754_d_d_a: ( a > a > $o ) > ( ( d > d ) > a > $o ) > ( a > d > d ) > ( a > a ) > $o ).
thf(tp_bNF_re2038021755_d_d_b,type,
bNF_re2038021755_d_d_b: ( a > a > $o ) > ( ( d > d ) > b > $o ) > ( a > d > d ) > ( a > b ) > $o ).
thf(tp_bNF_re2038641070_o_b_o,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(tp_bNF_re2074539676_a_o_o,type,
bNF_re2074539676_a_o_o: ( ( a > c > c ) > ( a > a ) > $o ) > ( $o > $o > $o ) > ( ( a > c > c ) > $o ) > ( ( a > a ) > $o ) > $o ).
thf(tp_bNF_re2075418869_b_b_b,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(tp_bNF_re2078100341_c_d_d,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(tp_bNF_re2087760490_b_a_b,type,
bNF_re2087760490_b_a_b: ( ( a > a ) > ( b > b ) > $o ) > ( a > b > $o ) > ( ( a > a ) > a ) > ( ( b > b ) > b ) > $o ).
thf(tp_bNF_re2114056618_c_c_c,type,
bNF_re2114056618_c_c_c: ( a > b > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > ( b > c > c ) > $o ).
thf(tp_bNF_re2120361759_d_d_d,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(tp_bNF_re2129955100_d_d_o,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(tp_bNF_re2141181021_a_b_o,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(tp_bNF_re231976415_a_a_o,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(tp_bNF_re250254555_o_b_o,type,
bNF_re250254555_o_b_o: ( a > a > $o ) > ( ( b > $o ) > ( b > $o ) > $o ) > ( a > b > $o ) > ( a > b > $o ) > $o ).
thf(tp_bNF_re27458217_c_c_c,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(tp_bNF_re27482973_d_d_o,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(tp_bNF_re310361461_b_a_a,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(tp_bNF_re323253981_b_b_b,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(tp_bNF_re332737826_a_b_o,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(tp_bNF_re335372010_d_b_d,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(tp_bNF_re35019871_b_d_d,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(tp_bNF_re364411746_a_b_o,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(tp_bNF_re364486559_b_d_d,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(tp_bNF_re38477224_d_c_c,type,
bNF_re38477224_d_c_c: ( b > a > $o ) > ( ( d > d ) > ( c > c ) > $o ) > ( b > d > d ) > ( a > c > c ) > $o ).
thf(tp_bNF_re387831090_b_d_d,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(tp_bNF_re390230442_a_a_o,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(tp_bNF_re391428377_o_d_o,type,
bNF_re391428377_o_d_o: ( c > d > $o ) > ( ( c > $o ) > ( d > $o ) > $o ) > ( c > c > $o ) > ( d > d > $o ) > $o ).
thf(tp_bNF_re417075625_c_d_d,type,
bNF_re417075625_c_d_d: ( b > b > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( b > c > c ) > ( b > d > d ) > $o ).
thf(tp_bNF_re418251421_o_b_o,type,
bNF_re418251421_o_b_o: ( a > b > $o ) > ( ( a > $o ) > ( b > $o ) > $o ) > ( a > a > $o ) > ( b > b > $o ) > $o ).
thf(tp_bNF_re473406379_b_a_b,type,
bNF_re473406379_b_a_b: ( ( a > a ) > ( a > b ) > $o ) > ( a > b > $o ) > ( ( a > a ) > a ) > ( ( a > b ) > b ) > $o ).
thf(tp_bNF_re539937469_b_a_a,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(tp_bNF_re561231771_a_c_c,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(tp_bNF_re569932906_a_b_b,type,
bNF_re569932906_a_b_b: ( a > b > $o ) > ( ( a > a ) > ( b > b ) > $o ) > ( a > a > a ) > ( b > b > b ) > $o ).
thf(tp_bNF_re571457705_a_a_a,type,
bNF_re571457705_a_a_a: ( ( a > a ) > ( a > a ) > $o ) > ( a > a > $o ) > ( ( a > a ) > a ) > ( ( a > a ) > a ) > $o ).
thf(tp_bNF_re581117672_a_b_o,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(tp_bNF_re588060702_b_b_b,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(tp_bNF_re631104669_a_d_d,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(tp_bNF_re647211934_d_d_d,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(tp_bNF_re668686835_a_b_b,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(tp_bNF_re674980784_d_d_o,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(tp_bNF_re692482399_b_d_d,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(tp_bNF_re708047067_a_b_o,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(tp_bNF_re727696351_d_b_d,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(tp_bNF_re742509149_b_d_d,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(tp_bNF_re758172648_c_c_c,type,
bNF_re758172648_c_c_c: ( b > a > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( b > c > c ) > ( a > c > c ) > $o ).
thf(tp_bNF_re764096061_d_d_d,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(tp_bNF_re764708765_d_d_o,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(tp_bNF_re774352699_b_b_b,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(tp_bNF_re781155241_d_d_o,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(tp_bNF_re796114495_b_a_b,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(tp_bNF_re802276445_b_o_o,type,
bNF_re802276445_b_o_o: ( ( a > d > d ) > ( a > b ) > $o ) > ( $o > $o > $o ) > ( ( a > d > d ) > $o ) > ( ( a > b ) > $o ) > $o ).
thf(tp_bNF_re802603882_c_d_d,type,
bNF_re802603882_c_d_d: ( a > b > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( a > c > c ) > ( b > d > d ) > $o ).
thf(tp_bNF_re822780063_d_d_d,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(tp_bNF_re835672381_b_b_b,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(tp_bNF_re84044842_c_d_d,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(tp_bNF_re857382262_a_a_a,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(tp_bNF_re857878889_d_o_o,type,
bNF_re857878889_d_o_o: ( ( c > c ) > ( d > d ) > $o ) > ( $o > $o > $o ) > ( ( c > c ) > $o ) > ( ( d > d ) > $o ) > $o ).
thf(tp_bNF_re865643767_a_a_b,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(tp_bNF_re865741149_a_a_a,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(tp_bNF_re880840541_a_c_c,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(tp_bNF_re883196986_a_o_o,type,
bNF_re883196986_a_o_o: ( ( c > c ) > a > $o ) > ( $o > $o > $o ) > ( ( c > c ) > $o ) > ( a > $o ) > $o ).
thf(tp_bNF_re888371717_d_d_d,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(tp_bNF_re90976443_b_o_o,type,
bNF_re90976443_b_o_o: ( ( c > c ) > b > $o ) > ( $o > $o > $o ) > ( ( c > c ) > $o ) > ( b > $o ) > $o ).
thf(tp_bNF_re911029929_a_a_a,type,
bNF_re911029929_a_a_a: ( a > a > $o ) > ( ( a > a ) > ( a > a ) > $o ) > ( a > a > a ) > ( a > a > a ) > $o ).
thf(tp_bNF_re921674337_d_d_o,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(tp_bNF_re932551557_b_d_d,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(tp_bNF_re950444090_c_c_a,type,
bNF_re950444090_c_c_a: ( a > a > $o ) > ( ( c > c ) > a > $o ) > ( a > c > c ) > ( a > a ) > $o ).
thf(tp_bNF_re950444091_c_c_b,type,
bNF_re950444091_c_c_b: ( a > a > $o ) > ( ( c > c ) > b > $o ) > ( a > c > c ) > ( a > b ) > $o ).
thf(tp_bNF_re961930425_d_d_b,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(tp_bNF_re978949211_a_c_c,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(tp_bNF_re984549674_a_a_o,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(tp_bNF_re991543930_a_o_o,type,
bNF_re991543930_a_o_o: ( ( d > d ) > a > $o ) > ( $o > $o > $o ) > ( ( d > d ) > $o ) > ( a > $o ) > $o ).
thf(tp_bNF_rel_fun_a_a_a_a,type,
bNF_rel_fun_a_a_a_a: ( a > a > $o ) > ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ).
thf(tp_bNF_rel_fun_a_a_a_b,type,
bNF_rel_fun_a_a_a_b: ( a > a > $o ) > ( a > b > $o ) > ( a > a ) > ( a > b ) > $o ).
thf(tp_bNF_rel_fun_a_a_b_a,type,
bNF_rel_fun_a_a_b_a: ( a > a > $o ) > ( b > a > $o ) > ( a > b ) > ( a > a ) > $o ).
thf(tp_bNF_rel_fun_a_a_b_b,type,
bNF_rel_fun_a_a_b_b: ( a > a > $o ) > ( b > b > $o ) > ( a > b ) > ( a > b ) > $o ).
thf(tp_bNF_rel_fun_a_a_o_o,type,
bNF_rel_fun_a_a_o_o: ( a > a > $o ) > ( $o > $o > $o ) > ( a > $o ) > ( a > $o ) > $o ).
thf(tp_bNF_rel_fun_a_b_a_a,type,
bNF_rel_fun_a_b_a_a: ( a > b > $o ) > ( a > a > $o ) > ( a > a ) > ( b > a ) > $o ).
thf(tp_bNF_rel_fun_a_b_a_b,type,
bNF_rel_fun_a_b_a_b: ( a > b > $o ) > ( a > b > $o ) > ( a > a ) > ( b > b ) > $o ).
thf(tp_bNF_rel_fun_a_b_c_d,type,
bNF_rel_fun_a_b_c_d: ( a > b > $o ) > ( c > d > $o ) > ( a > c ) > ( b > d ) > $o ).
thf(tp_bNF_rel_fun_a_b_o_o,type,
bNF_rel_fun_a_b_o_o: ( a > b > $o ) > ( $o > $o > $o ) > ( a > $o ) > ( b > $o ) > $o ).
thf(tp_bNF_rel_fun_b_a_a_a,type,
bNF_rel_fun_b_a_a_a: ( b > a > $o ) > ( a > a > $o ) > ( b > a ) > ( a > a ) > $o ).
thf(tp_bNF_rel_fun_b_a_b_a,type,
bNF_rel_fun_b_a_b_a: ( b > a > $o ) > ( b > a > $o ) > ( b > b ) > ( a > a ) > $o ).
thf(tp_bNF_rel_fun_b_a_o_o,type,
bNF_rel_fun_b_a_o_o: ( b > a > $o ) > ( $o > $o > $o ) > ( b > $o ) > ( a > $o ) > $o ).
thf(tp_bNF_rel_fun_b_b_a_a,type,
bNF_rel_fun_b_b_a_a: ( b > b > $o ) > ( a > a > $o ) > ( b > a ) > ( b > a ) > $o ).
thf(tp_bNF_rel_fun_b_b_a_b,type,
bNF_rel_fun_b_b_a_b: ( b > b > $o ) > ( a > b > $o ) > ( b > a ) > ( b > b ) > $o ).
thf(tp_bNF_rel_fun_b_b_b_b,type,
bNF_rel_fun_b_b_b_b: ( b > b > $o ) > ( b > b > $o ) > ( b > b ) > ( b > b ) > $o ).
thf(tp_bNF_rel_fun_b_b_o_o,type,
bNF_rel_fun_b_b_o_o: ( b > b > $o ) > ( $o > $o > $o ) > ( b > $o ) > ( b > $o ) > $o ).
thf(tp_bNF_rel_fun_c_c_c_c,type,
bNF_rel_fun_c_c_c_c: ( c > c > $o ) > ( c > c > $o ) > ( c > c ) > ( c > c ) > $o ).
thf(tp_bNF_rel_fun_c_d_a_b,type,
bNF_rel_fun_c_d_a_b: ( c > d > $o ) > ( a > b > $o ) > ( c > a ) > ( d > b ) > $o ).
thf(tp_bNF_rel_fun_c_d_c_d,type,
bNF_rel_fun_c_d_c_d: ( c > d > $o ) > ( c > d > $o ) > ( c > c ) > ( d > d ) > $o ).
thf(tp_bNF_rel_fun_c_d_o_o,type,
bNF_rel_fun_c_d_o_o: ( c > d > $o ) > ( $o > $o > $o ) > ( c > $o ) > ( d > $o ) > $o ).
thf(tp_bNF_rel_fun_d_d_d_d,type,
bNF_rel_fun_d_d_d_d: ( d > d > $o ) > ( d > d > $o ) > ( d > d ) > ( d > d ) > $o ).
thf(tp_bi_total_a_b,type,
bi_total_a_b: ( a > b > $o ) > $o ).
thf(tp_bi_total_a_c_c_b_d_d,type,
bi_total_a_c_c_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
thf(tp_bi_total_c_c_d_d,type,
bi_total_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
thf(tp_bi_total_c_d,type,
bi_total_c_d: ( c > d > $o ) > $o ).
thf(tp_bi_uni844770768_b_d_d,type,
bi_uni844770768_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
thf(tp_bi_unique_a_b,type,
bi_unique_a_b: ( a > b > $o ) > $o ).
thf(tp_bi_unique_c_c_d_d,type,
bi_unique_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
thf(tp_bi_unique_c_d,type,
bi_unique_c_d: ( c > d > $o ) > $o ).
thf(tp_collect_a,type,
collect_a: ( a > $o ) > set_a ).
thf(tp_collect_b,type,
collect_b: ( b > $o ) > set_b ).
thf(tp_collect_c,type,
collect_c: ( c > $o ) > set_c ).
thf(tp_collect_d,type,
collect_d: ( d > $o ) > set_d ).
thf(tp_comp_a_a_a,type,
comp_a_a_a: ( a > a ) > ( a > a ) > a > a ).
thf(tp_comp_a_a_a_c_c_c_c_a,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(tp_comp_a_a_b,type,
comp_a_a_b: ( a > a ) > ( b > a ) > b > a ).
thf(tp_comp_a_a_c_c,type,
comp_a_a_c_c: ( a > a ) > ( ( c > c ) > a ) > ( c > c ) > a ).
thf(tp_comp_a_b_a,type,
comp_a_b_a: ( a > b ) > ( a > a ) > a > b ).
thf(tp_comp_a_b_a_d_d_c_c_b,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(tp_comp_a_b_b,type,
comp_a_b_b: ( a > b ) > ( b > a ) > b > b ).
thf(tp_comp_a_c_c_a,type,
comp_a_c_c_a: ( a > c > c ) > ( a > a ) > a > c > c ).
thf(tp_comp_a_c_c_b,type,
comp_a_c_c_b: ( a > c > c ) > ( b > a ) > b > c > c ).
thf(tp_comp_b_a_a,type,
comp_b_a_a: ( b > a ) > ( a > b ) > a > a ).
thf(tp_comp_b_a_b,type,
comp_b_a_b: ( b > a ) > ( b > b ) > b > a ).
thf(tp_comp_b_a_b_c_c_d_d_a,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(tp_comp_b_b_a,type,
comp_b_b_a: ( b > b ) > ( a > b ) > a > b ).
thf(tp_comp_b_b_b,type,
comp_b_b_b: ( b > b ) > ( b > b ) > b > b ).
thf(tp_comp_b_b_b_d_d_d_d_b,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(tp_comp_b_b_d_d,type,
comp_b_b_d_d: ( b > b ) > ( ( d > d ) > b ) > ( d > d ) > b ).
thf(tp_comp_b_c_c_a,type,
comp_b_c_c_a: ( b > c > c ) > ( a > b ) > a > c > c ).
thf(tp_comp_b_c_c_b,type,
comp_b_c_c_b: ( b > c > c ) > ( b > b ) > b > c > c ).
thf(tp_comp_b_d_d_a,type,
comp_b_d_d_a: ( b > d > d ) > ( a > b ) > a > d > d ).
thf(tp_comp_b_d_d_b,type,
comp_b_d_d_b: ( b > d > d ) > ( b > b ) > b > d > d ).
thf(tp_comp_c_c_a_a,type,
comp_c_c_a_a: ( ( c > c ) > a ) > ( a > c > c ) > a > a ).
thf(tp_comp_c_c_a_c_c,type,
comp_c_c_a_c_c: ( ( c > c ) > a ) > ( ( c > c ) > c > c ) > ( c > c ) > a ).
thf(tp_comp_c_c_b_a,type,
comp_c_c_b_a: ( ( c > c ) > b ) > ( a > c > c ) > a > b ).
thf(tp_comp_c_c_b_b,type,
comp_c_c_b_b: ( ( c > c ) > b ) > ( b > c > c ) > b > b ).
thf(tp_comp_c_c_c,type,
comp_c_c_c: ( c > c ) > ( c > c ) > c > c ).
thf(tp_comp_c_c_c_c_a,type,
comp_c_c_c_c_a: ( ( c > c ) > c > c ) > ( a > c > c ) > a > c > c ).
thf(tp_comp_d_d_b_b,type,
comp_d_d_b_b: ( ( d > d ) > b ) > ( b > d > d ) > b > b ).
thf(tp_comp_d_d_d,type,
comp_d_d_d: ( d > d ) > ( d > d ) > d > d ).
thf(tp_comp_d_d_d_d_b,type,
comp_d_d_d_d_b: ( ( d > d ) > d > d ) > ( b > d > d ) > b > d > d ).
thf(tp_comple1615148455ne_d_d,type,
comple1615148455ne_d_d: ( d > d > $o ) > ( d > d > $o ) > ( d > d ) > $o ).
thf(tp_comple1702356924_a_c_c,type,
comple1702356924_a_c_c: ( a > a > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > $o ).
thf(tp_comple61207421_b_d_d,type,
comple61207421_b_d_d: ( b > b > $o ) > ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > $o ).
thf(tp_comple787379047ne_c_c,type,
comple787379047ne_c_c: ( c > c > $o ) > ( c > c > $o ) > ( c > c ) > $o ).
thf(tp_f1,type,
f1: a > c > c ).
thf(tp_f2,type,
f2: b > d > d ).
thf(tp_ffold_a_c,type,
ffold_a_c: ( a > c > c ) > c > fset_a > c ).
thf(tp_ffold_b_d,type,
ffold_b_d: ( b > d > d ) > d > fset_b > d ).
thf(tp_finite1019684932ph_c_a,type,
finite1019684932ph_c_a: ( c > a > a ) > a > set_c > a > $o ).
thf(tp_finite1019684933ph_c_b,type,
finite1019684933ph_c_b: ( c > b > b ) > b > set_c > b > $o ).
thf(tp_finite1019684934ph_c_c,type,
finite1019684934ph_c_c: ( c > c > c ) > c > set_c > c > $o ).
thf(tp_finite1019684935ph_c_d,type,
finite1019684935ph_c_d: ( c > d > d ) > d > set_c > d > $o ).
thf(tp_finite1511629766ph_a_a,type,
finite1511629766ph_a_a: ( a > a > a ) > a > set_a > a > $o ).
thf(tp_finite1511629767ph_a_b,type,
finite1511629767ph_a_b: ( a > b > b ) > b > set_a > b > $o ).
thf(tp_finite1511629768ph_a_c,type,
finite1511629768ph_a_c: ( a > c > c ) > c > set_a > c > $o ).
thf(tp_finite1511629769ph_a_d,type,
finite1511629769ph_a_d: ( a > d > d ) > d > set_a > d > $o ).
thf(tp_finite1574384658te_b_c,type,
finite1574384658te_b_c: ( b > c > c ) > $o ).
thf(tp_finite1574384659te_b_d,type,
finite1574384659te_b_d: ( b > d > d ) > $o ).
thf(tp_finite191915525ph_b_a,type,
finite191915525ph_b_a: ( b > a > a ) > a > set_b > a > $o ).
thf(tp_finite191915528ph_b_d,type,
finite191915528ph_b_d: ( b > d > d ) > d > set_b > d > $o ).
thf(tp_finite19304177ms_a_c,type,
finite19304177ms_a_c: ( a > c > c ) > $o ).
thf(tp_finite40241358em_a_c,type,
finite40241358em_a_c: ( a > c > c ) > $o ).
thf(tp_finite746615251te_a_c,type,
finite746615251te_a_c: ( a > c > c ) > $o ).
thf(tp_finite847073585ms_b_d,type,
finite847073585ms_b_d: ( b > d > d ) > $o ).
thf(tp_finite868010765em_b_c,type,
finite868010765em_b_c: ( b > c > c ) > $o ).
thf(tp_finite868010766em_b_d,type,
finite868010766em_b_d: ( b > d > d ) > $o ).
thf(tp_fold_mset_a_c,type,
fold_mset_a_c: ( a > c > c ) > c > multiset_a > c ).
thf(tp_fold_mset_b_d,type,
fold_mset_b_d: ( b > d > d ) > d > multiset_b > d ).
thf(tp_fun_upd_a_c_c,type,
fun_upd_a_c_c: ( a > c > c ) > a > ( c > c ) > a > c > c ).
thf(tp_fun_upd_b_d_d,type,
fun_upd_b_d_d: ( b > d > d ) > b > ( d > d ) > b > d > d ).
thf(tp_fun_upd_c_c,type,
fun_upd_c_c: ( c > c ) > c > c > c > c ).
thf(tp_fun_upd_d_d,type,
fun_upd_d_d: ( d > d ) > d > d > d > d ).
thf(tp_if_a,type,
if_a: $o > a > a > a ).
thf(tp_if_b,type,
if_b: $o > b > b > b ).
thf(tp_if_c,type,
if_c: $o > c > c > c ).
thf(tp_if_d,type,
if_d: $o > d > d > d ).
thf(tp_left_t1993719015_b_d_d,type,
left_t1993719015_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
thf(tp_left_total_a_b,type,
left_total_a_b: ( a > b > $o ) > $o ).
thf(tp_left_total_b_b,type,
left_total_b_b: ( b > b > $o ) > $o ).
thf(tp_left_total_c_c_d_d,type,
left_total_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
thf(tp_left_total_c_d,type,
left_total_c_d: ( c > d > $o ) > $o ).
thf(tp_left_total_d_d,type,
left_total_d_d: ( d > d > $o ) > $o ).
thf(tp_left_u1654071760_b_d_d,type,
left_u1654071760_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
thf(tp_left_unique_a_a,type,
left_unique_a_a: ( a > a > $o ) > $o ).
thf(tp_left_unique_a_b,type,
left_unique_a_b: ( a > b > $o ) > $o ).
thf(tp_left_unique_c_c,type,
left_unique_c_c: ( c > c > $o ) > $o ).
thf(tp_left_unique_c_c_d_d,type,
left_unique_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
thf(tp_left_unique_c_d,type,
left_unique_c_d: ( c > d > $o ) > $o ).
thf(tp_left_unique_d_d,type,
left_unique_d_d: ( d > d > $o ) > $o ).
thf(tp_left_unique_d_d_d_d,type,
left_unique_d_d_d_d: ( ( d > d ) > ( d > d ) > $o ) > $o ).
thf(tp_map_fu1569200227_b_d_d,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(tp_map_fu232832790_a_c_c,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(tp_map_fu538233110_b_d_d,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(tp_map_fu676564502_a_c_c,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(tp_map_fu683206690_b_d_d,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(tp_map_fu75729569_a_c_c,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(tp_map_fu961723106_a_c_c,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(tp_map_fu981964822_b_d_d,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(tp_map_fun_a_a_a_a,type,
map_fun_a_a_a_a: ( a > a ) > ( a > a ) > ( a > a ) > a > a ).
thf(tp_map_fun_a_a_a_c_c,type,
map_fun_a_a_a_c_c: ( a > a ) > ( a > c > c ) > ( a > a ) > a > c > c ).
thf(tp_map_fun_a_a_b_d_d,type,
map_fun_a_a_b_d_d: ( a > a ) > ( b > d > d ) > ( a > b ) > a > d > d ).
thf(tp_map_fun_a_a_c_c_c_c,type,
map_fun_a_a_c_c_c_c: ( a > a ) > ( ( c > c ) > c > c ) > ( a > c > c ) > a > c > c ).
thf(tp_map_fun_a_b_b_a,type,
map_fun_a_b_b_a: ( a > b ) > ( b > a ) > ( b > b ) > a > a ).
thf(tp_map_fun_a_b_d_d_c_c,type,
map_fun_a_b_d_d_c_c: ( a > b ) > ( ( d > d ) > c > c ) > ( b > d > d ) > a > c > c ).
thf(tp_map_fun_a_c_c_a_a,type,
map_fun_a_c_c_a_a: ( a > c > c ) > ( a > a ) > ( ( c > c ) > a ) > a > a ).
thf(tp_map_fun_a_c_c_a_c_c,type,
map_fun_a_c_c_a_c_c: ( a > c > c ) > ( a > c > c ) > ( ( c > c ) > a ) > a > c > c ).
thf(tp_map_fun_a_c_c_b_b,type,
map_fun_a_c_c_b_b: ( a > c > c ) > ( b > b ) > ( ( c > c ) > b ) > a > b ).
thf(tp_map_fun_a_c_c_b_d_d,type,
map_fun_a_c_c_b_d_d: ( a > c > c ) > ( b > d > d ) > ( ( c > c ) > b ) > a > d > d ).
thf(tp_map_fun_a_c_c_c_c,type,
map_fun_a_c_c_c_c: ( a > c > c ) > ( c > c ) > ( ( c > c ) > c ) > a > c ).
thf(tp_map_fun_a_c_c_c_c2,type,
map_fun_a_c_c_c_c2: ( a > c ) > ( c > c > c ) > ( c > c ) > a > c > c ).
thf(tp_map_fun_b_a_a_b,type,
map_fun_b_a_a_b: ( b > a ) > ( a > b ) > ( a > a ) > b > b ).
thf(tp_map_fun_b_a_c_c_d_d,type,
map_fun_b_a_c_c_d_d: ( b > a ) > ( ( c > c ) > d > d ) > ( a > c > c ) > b > d > d ).
thf(tp_map_fun_b_b_a_c_c,type,
map_fun_b_b_a_c_c: ( b > b ) > ( a > c > c ) > ( b > a ) > b > c > c ).
thf(tp_map_fun_b_b_b_b,type,
map_fun_b_b_b_b: ( b > b ) > ( b > b ) > ( b > b ) > b > b ).
thf(tp_map_fun_b_b_b_d_d,type,
map_fun_b_b_b_d_d: ( b > b ) > ( b > d > d ) > ( b > b ) > b > d > d ).
thf(tp_map_fun_b_b_d_d_d_d,type,
map_fun_b_b_d_d_d_d: ( b > b ) > ( ( d > d ) > d > d ) > ( b > d > d ) > b > d > d ).
thf(tp_map_fun_b_d_d_a_a,type,
map_fun_b_d_d_a_a: ( b > d > d ) > ( a > a ) > ( ( d > d ) > a ) > b > a ).
thf(tp_map_fun_b_d_d_a_c_c,type,
map_fun_b_d_d_a_c_c: ( b > d > d ) > ( a > c > c ) > ( ( d > d ) > a ) > b > c > c ).
thf(tp_map_fun_b_d_d_b_b,type,
map_fun_b_d_d_b_b: ( b > d > d ) > ( b > b ) > ( ( d > d ) > b ) > b > b ).
thf(tp_map_fun_b_d_d_b_d_d,type,
map_fun_b_d_d_b_d_d: ( b > d > d ) > ( b > d > d ) > ( ( d > d ) > b ) > b > d > d ).
thf(tp_map_fun_b_d_d_d_d,type,
map_fun_b_d_d_d_d: ( b > d > d ) > ( d > d ) > ( ( d > d ) > d ) > b > d ).
thf(tp_map_fun_b_d_d_d_d2,type,
map_fun_b_d_d_d_d2: ( b > d ) > ( d > d > d ) > ( d > d ) > b > d > d ).
thf(tp_map_fun_c_a_c_c_c,type,
map_fun_c_a_c_c_c: ( c > a ) > ( ( c > c ) > c ) > ( a > c > c ) > c > c ).
thf(tp_map_fun_c_c_a_c_c,type,
map_fun_c_c_a_c_c: ( c > c ) > ( a > c > c ) > ( c > a ) > c > c > c ).
thf(tp_map_fun_c_c_c_c,type,
map_fun_c_c_c_c: ( c > c ) > ( c > c ) > ( c > c ) > c > c ).
thf(tp_map_fun_d_b_d_d_d,type,
map_fun_d_b_d_d_d: ( d > b ) > ( ( d > d ) > d ) > ( b > d > d ) > d > d ).
thf(tp_map_fun_d_d_b_d_d,type,
map_fun_d_d_b_d_d: ( d > d ) > ( b > d > d ) > ( d > b ) > d > d > d ).
thf(tp_map_fun_d_d_d_d,type,
map_fun_d_d_d_d: ( d > d ) > ( d > d ) > ( d > d ) > d > d ).
thf(tp_member_a,type,
member_a: a > set_a > $o ).
thf(tp_member_b,type,
member_b: b > set_b > $o ).
thf(tp_member_c,type,
member_c: c > set_c > $o ).
thf(tp_member_d,type,
member_d: d > set_d > $o ).
thf(tp_ord_le1338099484_d_d_o,type,
ord_le1338099484_d_d_o: ( ( c > c ) > ( d > d ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > $o ).
thf(tp_ord_le469275661_d_d_o,type,
ord_le469275661_d_d_o: ( ( a > c > c ) > ( b > d > d ) > $o ) > ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
thf(tp_ord_less_eq_a_b_o,type,
ord_less_eq_a_b_o: ( a > b > $o ) > ( a > b > $o ) > $o ).
thf(tp_ord_less_eq_c_d_o,type,
ord_less_eq_c_d_o: ( c > d > $o ) > ( c > d > $o ) > $o ).
thf(tp_partia1041982257_d_d_d,type,
partia1041982257_d_d_d: ( d > d > $o ) > ( d > d ) > ( d > d ) > $o ).
thf(tp_partia1494029680_c_c_c,type,
partia1494029680_c_c_c: ( c > c > $o ) > ( c > c ) > ( c > c ) > $o ).
thf(tp_partia1709452835_d_d_b,type,
partia1709452835_d_d_b: ( ( d > d ) > ( d > d ) > $o ) > ( b > d > d ) > ( b > d > d ) > $o ).
thf(tp_partia186872226_c_c_a,type,
partia186872226_c_c_a: ( ( c > c ) > ( c > c ) > $o ) > ( a > c > c ) > ( a > c > c ) > $o ).
thf(tp_plus_plus_multiset_a,type,
plus_plus_multiset_a: multiset_a > multiset_a > multiset_a ).
thf(tp_plus_plus_multiset_b,type,
plus_plus_multiset_b: multiset_b > multiset_b > multiset_b ).
thf(tp_quotient3_a_a,type,
quotient3_a_a: ( a > a > $o ) > ( a > a ) > ( a > a ) > $o ).
thf(tp_quotient3_a_b,type,
quotient3_a_b: ( a > a > $o ) > ( a > b ) > ( b > a ) > $o ).
thf(tp_quotient3_a_c_c,type,
quotient3_a_c_c: ( a > a > $o ) > ( a > c > c ) > ( ( c > c ) > a ) > $o ).
thf(tp_quotient3_b_a,type,
quotient3_b_a: ( b > b > $o ) > ( b > a ) > ( a > b ) > $o ).
thf(tp_quotient3_b_b,type,
quotient3_b_b: ( b > b > $o ) > ( b > b ) > ( b > b ) > $o ).
thf(tp_quotient3_b_d_d,type,
quotient3_b_d_d: ( b > b > $o ) > ( b > d > d ) > ( ( d > d ) > b ) > $o ).
thf(tp_quotient3_c_c_a,type,
quotient3_c_c_a: ( ( c > c ) > ( c > c ) > $o ) > ( ( c > c ) > a ) > ( a > c > c ) > $o ).
thf(tp_quotient3_c_c_c_c,type,
quotient3_c_c_c_c: ( ( c > c ) > ( c > c ) > $o ) > ( ( c > c ) > c > c ) > ( ( c > c ) > c > c ) > $o ).
thf(tp_quotient3_c_c_d_d,type,
quotient3_c_c_d_d: ( ( c > c ) > ( c > c ) > $o ) > ( ( c > c ) > d > d ) > ( ( d > d ) > c > c ) > $o ).
thf(tp_quotient3_d_d_b,type,
quotient3_d_d_b: ( ( d > d ) > ( d > d ) > $o ) > ( ( d > d ) > b ) > ( b > d > d ) > $o ).
thf(tp_quotient3_d_d_c_c,type,
quotient3_d_d_c_c: ( ( d > d ) > ( d > d ) > $o ) > ( ( d > d ) > c > c ) > ( ( c > c ) > d > d ) > $o ).
thf(tp_quotient3_d_d_d_d,type,
quotient3_d_d_d_d: ( ( d > d ) > ( d > d ) > $o ) > ( ( d > d ) > d > d ) > ( ( d > d ) > d > d ) > $o ).
thf(tp_relcom1813708708_b_d_d,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(tp_relcom1887247779_b_d_d,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(tp_relcompp_a_a_a,type,
relcompp_a_a_a: ( a > a > $o ) > ( a > a > $o ) > a > a > $o ).
thf(tp_relcompp_a_a_b,type,
relcompp_a_a_b: ( a > a > $o ) > ( a > b > $o ) > a > b > $o ).
thf(tp_relcompp_a_b_b,type,
relcompp_a_b_b: ( a > b > $o ) > ( b > b > $o ) > a > b > $o ).
thf(tp_relcompp_b_b_b,type,
relcompp_b_b_b: ( b > b > $o ) > ( b > b > $o ) > b > b > $o ).
thf(tp_relcompp_c_c_c_c_c_c,type,
relcompp_c_c_c_c_c_c: ( ( c > c ) > ( c > c ) > $o ) > ( ( c > c ) > ( c > c ) > $o ) > ( c > c ) > ( c > c ) > $o ).
thf(tp_relcompp_c_c_c_c_d_d,type,
relcompp_c_c_c_c_d_d: ( ( c > c ) > ( c > c ) > $o ) > ( ( c > c ) > ( d > d ) > $o ) > ( c > c ) > ( d > d ) > $o ).
thf(tp_relcompp_c_c_d,type,
relcompp_c_c_d: ( c > c > $o ) > ( c > d > $o ) > c > d > $o ).
thf(tp_relcompp_c_c_d_d_d_d,type,
relcompp_c_c_d_d_d_d: ( ( c > c ) > ( d > d ) > $o ) > ( ( d > d ) > ( d > d ) > $o ) > ( c > c ) > ( d > d ) > $o ).
thf(tp_relcompp_c_d_d,type,
relcompp_c_d_d: ( c > d > $o ) > ( d > d > $o ) > c > d > $o ).
thf(tp_relcompp_d_d_d_d_d_d,type,
relcompp_d_d_d_d_d_d: ( ( d > d ) > ( d > d ) > $o ) > ( ( d > d ) > ( d > d ) > $o ) > ( d > d ) > ( d > d ) > $o ).
thf(tp_rev_implies,type,
rev_implies: $o > $o > $o ).
thf(tp_right_2142487_b_d_d,type,
right_2142487_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
thf(tp_right_386984928_b_d_d,type,
right_386984928_b_d_d: ( ( a > c > c ) > ( b > d > d ) > $o ) > $o ).
thf(tp_right_total_a_a,type,
right_total_a_a: ( a > a > $o ) > $o ).
thf(tp_right_total_a_b,type,
right_total_a_b: ( a > b > $o ) > $o ).
thf(tp_right_total_c_c,type,
right_total_c_c: ( c > c > $o ) > $o ).
thf(tp_right_total_c_c_d_d,type,
right_total_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
thf(tp_right_total_c_d,type,
right_total_c_d: ( c > d > $o ) > $o ).
thf(tp_right_total_d_d,type,
right_total_d_d: ( d > d > $o ) > $o ).
thf(tp_right_total_d_d_d_d,type,
right_total_d_d_d_d: ( ( d > d ) > ( d > d ) > $o ) > $o ).
thf(tp_right_unique_a_b,type,
right_unique_a_b: ( a > b > $o ) > $o ).
thf(tp_right_unique_b_b,type,
right_unique_b_b: ( b > b > $o ) > $o ).
thf(tp_right_unique_c_c_d_d,type,
right_unique_c_c_d_d: ( ( c > c ) > ( d > d ) > $o ) > $o ).
thf(tp_right_unique_c_d,type,
right_unique_c_d: ( c > d > $o ) > $o ).
thf(tp_right_unique_d_d,type,
right_unique_d_d: ( d > d > $o ) > $o ).
thf(tp_sK10_SV185,type,
sK10_SV185: ( a > a ) > ( a > a ) > ( a > a ) > a ).
thf(tp_sK11_SV186,type,
sK11_SV186: ( a > c > c ) > ( a > a ) > ( a > c > c ) > a ).
thf(tp_sK12_SV187,type,
sK12_SV187: ( a > c > c ) > ( a > a ) > ( a > c > c ) > a ).
thf(tp_sK13_SV188,type,
sK13_SV188: ( a > c > c ) > ( a > c > c ) > ( ( c > c ) > c > c ) > a ).
thf(tp_sK14_SV189,type,
sK14_SV189: ( a > c > c ) > ( a > a ) > ( a > c > c ) > a ).
thf(tp_sK15_SV192,type,
sK15_SV192: ( b > c > c ) > ( b > a ) > ( a > c > c ) > b ).
thf(tp_sK16_SV193,type,
sK16_SV193: ( a > c > c ) > ( a > a ) > ( a > c > c ) > a ).
thf(tp_sK17_SY426,type,
sK17_SY426: ( a > c > c ) > ( a > a ) > a ).
thf(tp_sK18_SY429,type,
sK18_SY429: ( a > c > c ) > ( a > c > c ) > a ).
thf(tp_sK19_SY516,type,
sK19_SY516: ( a > c > c ) > a ).
thf(tp_sK1_X2,type,
sK1_X2: ( a > c > c ) > a ).
thf(tp_sK20_SV203,type,
sK20_SV203: ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ).
thf(tp_sK21_SV204,type,
sK21_SV204: ( a > a ) > ( a > c > c ) > ( a > a ) > ( a > c > c ) > a ).
thf(tp_sK22_SV205,type,
sK22_SV205: ( b > a ) > ( a > a ) > ( b > a ) > ( a > a ) > b ).
thf(tp_sK23_SV206,type,
sK23_SV206: ( a > a ) > ( a > c > c ) > ( a > a ) > ( a > c > c ) > a ).
thf(tp_sK24_SV216,type,
sK24_SV216: ( b > a ) > ( a > c > c ) > ( b > a ) > ( a > c > c ) > b ).
thf(tp_sK25_SV217,type,
sK25_SV217: ( a > a ) > ( a > c > c ) > ( a > a ) > ( a > c > c ) > a ).
thf(tp_sK26_SV218,type,
sK26_SV218: ( b > a ) > ( a > c > c ) > ( b > a ) > ( a > c > c ) > b ).
thf(tp_sK27_SV219,type,
sK27_SV219: ( a > a ) > ( a > c > c ) > ( a > a ) > ( a > c > c ) > a ).
thf(tp_sK28_SY517,type,
sK28_SY517: ( a > c > c ) > ( a > a ) > a ).
thf(tp_sK29_SV227,type,
sK29_SV227: ( a > c > c ) > c ).
thf(tp_sK2_Y2,type,
sK2_Y2: ( a > c > c ) > a ).
thf(tp_sK30_SV234,type,
sK30_SV234: ( a > c > c ) > ( a > a ) > ( a > c > c ) > c ).
thf(tp_sK31_SV236,type,
sK31_SV236: ( a > c > c ) > ( a > a ) > ( a > c > c ) > c ).
thf(tp_sK32_SV238,type,
sK32_SV238: ( a > c > c ) > ( a > c > c ) > ( ( c > c ) > c > c ) > c ).
thf(tp_sK33_SV240,type,
sK33_SV240: ( a > c > c ) > ( a > a ) > ( a > c > c ) > c ).
thf(tp_sK34_SV242,type,
sK34_SV242: ( b > a ) > ( a > c > c ) > b > ( b > a ) > ( a > c > c ) > c ).
thf(tp_sK35_SV243,type,
sK35_SV243: ( a > a ) > ( a > c > c ) > a > ( a > a ) > ( a > c > c ) > c ).
thf(tp_sK36_SV244,type,
sK36_SV244: ( b > c > c ) > ( b > a ) > ( a > c > c ) > c ).
thf(tp_sK37_SV246,type,
sK37_SV246: ( a > c > c ) > ( a > a ) > ( a > c > c ) > c ).
thf(tp_sK38_SV260,type,
sK38_SV260: ( a > c > c ) > c ).
thf(tp_sK39_SV263,type,
sK39_SV263: ( a > c > c ) > ( a > a ) > ( a > a ) > ( a > c > c ) > c ).
thf(tp_sK3_SY195,type,
sK3_SY195: ( a > c > c ) > a ).
thf(tp_sK40_SV267,type,
sK40_SV267: ( a > c > c ) > ( a > a ) > ( a > a ) > ( a > c > c ) > c ).
thf(tp_sK41_SV285,type,
sK41_SV285: ( a > c > c ) > ( b > a ) > ( b > a ) > ( a > c > c ) > c ).
thf(tp_sK42_SV287,type,
sK42_SV287: ( a > c > c ) > ( a > a ) > ( a > a ) > ( a > c > c ) > c ).
thf(tp_sK43_SV289,type,
sK43_SV289: ( a > c > c ) > ( b > a ) > ( b > a ) > ( a > c > c ) > c ).
thf(tp_sK44_SV291,type,
sK44_SV291: ( a > c > c ) > ( a > a ) > ( a > a ) > ( a > c > c ) > c ).
thf(tp_sK45_SV295,type,
sK45_SV295: a > ( a > a ) > ( a > c > c ) > a > ( a > a ) > ( a > c > c ) > c ).
thf(tp_sK46_SV339,type,
sK46_SV339: ( a > a ) > ( a > c > c ) > c ).
thf(tp_sK47_SV340,type,
sK47_SV340: ( a > a ) > ( a > c > c ) > ( a > c > c ) > a ).
thf(tp_sK48_SV341,type,
sK48_SV341: ( a > a ) > ( a > c > c ) > ( a > c > c ) > a ).
thf(tp_sK49_SV379,type,
sK49_SV379: ( a > c > c ) > a > ( a > c > c ) > c ).
thf(tp_sK4_X2,type,
sK4_X2: ( c > c ) > ( a > c > c ) > ( a > c > c ) > a ).
thf(tp_sK50_SV383,type,
sK50_SV383: ( a > a ) > ( a > a ) > ( a > a ) > ( a > c > c ) > ( a > a ) > ( a > c > c ) > a ).
thf(tp_sK51_SV385,type,
sK51_SV385: ( a > a ) > ( a > a ) > ( a > c > c ) > ( a > c > c ) > ( a > c > c ) > ( ( c > c ) > c > c ) > a ).
thf(tp_sK52_SV386,type,
sK52_SV386: ( b > a ) > ( b > a ) > ( a > a ) > ( a > c > c ) > ( a > a ) > ( a > c > c ) > a ).
thf(tp_sK53_SV388,type,
sK53_SV388: ( a > c > c ) > ( a > a ) > ( a > c > c ) > ( a > a ) > ( a > a ) > ( a > a ) > a ).
thf(tp_sK54_SV409,type,
sK54_SV409: ( a > c > c ) > ( a > a ) > ( a > c > c ) > c ).
thf(tp_sK55_SV410,type,
sK55_SV410: ( a > c > c ) > ( a > a ) > ( a > c > c ) > c ).
thf(tp_sK56_SV415,type,
sK56_SV415: ( a > a ) > ( a > a ) > ( a > a ) > ( a > c > c ) > ( a > a ) > ( a > c > c ) > a ).
thf(tp_sK57_SV418,type,
sK57_SV418: ( b > a ) > ( b > a ) > ( a > a ) > ( a > c > c ) > ( a > a ) > ( a > c > c ) > a ).
thf(tp_sK58_SV438,type,
sK58_SV438: ( a > c > c ) > ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > ( a > c > c ) > c ).
thf(tp_sK59_SV440,type,
sK59_SV440: ( a > a ) > ( a > a ) > ( a > c > c ) > ( a > c > c ) > ( a > c > c ) > ( ( c > c ) > c > c ) > a ).
thf(tp_sK5_SY196,type,
sK5_SY196: ( c > c ) > ( a > c > c ) > ( a > c > c ) > c ).
thf(tp_sK60_SV441,type,
sK60_SV441: ( a > c > c ) > ( a > c > c ) > ( a > a ) > ( a > a ) > ( a > c > c ) > ( ( c > c ) > c > c ) > c ).
thf(tp_sK61_SV444,type,
sK61_SV444: ( a > c > c ) > ( a > a ) > ( b > a ) > ( b > a ) > ( a > a ) > ( a > c > c ) > c ).
thf(tp_sK62_SV446,type,
sK62_SV446: ( a > c > c ) > ( a > a ) > ( a > c > c ) > ( a > a ) > ( a > a ) > ( a > a ) > a ).
thf(tp_sK63_SY428,type,
sK63_SY428: ( a > a ) > ( a > c > c ) > a > c > c ).
thf(tp_sK64_SY428,type,
sK64_SY428: ( a > a ) > ( a > c > c ) > a > c > c ).
thf(tp_sK65_SY428,type,
sK65_SY428: ( a > c > c ) > ( a > a ) > ( a > c > c ) > a > c > c ).
thf(tp_sK66_SY431,type,
sK66_SY431: ( a > a ) > ( a > c > c ) > ( a > c > c ) > a > a ).
thf(tp_sK67_SV460,type,
sK67_SV460: ( a > c > c ) > ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > ( a > c > c ) > c ).
thf(tp_sK68_SV464,type,
sK68_SV464: ( a > a ) > ( a > a ) > ( a > c > c ) > ( a > c > c ) > ( a > c > c ) > ( ( c > c ) > c > c ) > a ).
thf(tp_sK69_SV468,type,
sK69_SV468: ( a > c > c ) > ( a > a ) > ( b > a ) > ( b > a ) > ( a > a ) > ( a > c > c ) > c ).
thf(tp_sK6_SV126,type,
sK6_SV126: ( a > c > c ) > c ).
thf(tp_sK70_SV472,type,
sK70_SV472: ( a > c > c ) > ( a > a ) > ( a > c > c ) > ( a > a ) > ( a > a ) > ( a > a ) > a ).
thf(tp_sK71_SY428,type,
sK71_SY428: ( a > a ) > ( a > c > c ) > a > c > c ).
thf(tp_sK72_SY431,type,
sK72_SY431: a > ( a > c > c ) > ( a > c > c ) > a > a ).
thf(tp_sK73_SY536,type,
sK73_SY536: ( a > a ) > a > ( a > c > c ) > ( a > c > c ) > a ).
thf(tp_sK74_SV489,type,
sK74_SV489: ( a > c > c ) > ( a > c > c ) > ( a > a ) > ( a > a ) > ( a > c > c ) > ( ( c > c ) > c > c ) > c ).
thf(tp_sK75_SY428,type,
sK75_SY428: ( a > c > c ) > ( a > a ) > ( a > c > c ) > a > c > c ).
thf(tp_sK76_SY431,type,
sK76_SY431: a > ( a > c > c ) > ( a > c > c ) > a > a ).
thf(tp_sK77_SY538,type,
sK77_SY538: a > a > ( a > c > c ) > ( a > c > c ) > a ).
thf(tp_sK78_SY431,type,
sK78_SY431: ( a > a ) > ( a > c > c ) > ( a > c > c ) > a > a ).
thf(tp_sK79_SV514,type,
sK79_SV514: ( a > c > c ) > ( a > c > c ) > ( a > a ) > ( a > a ) > ( a > c > c ) > ( ( c > c ) > c > c ) > c ).
thf(tp_sK7_SV134,type,
sK7_SV134: ( a > c > c ) > c ).
thf(tp_sK80_SY428,type,
sK80_SY428: ( a > c > c ) > ( a > a ) > ( a > c > c ) > a > c > c ).
thf(tp_sK81_SY540,type,
sK81_SY540: a > a > ( a > c > c ) > ( a > c > c ) > a ).
thf(tp_sK82_SY431,type,
sK82_SY431: ( a > a ) > ( a > c > c ) > ( a > c > c ) > a > a ).
thf(tp_sK83_SY541,type,
sK83_SY541: ( a > a ) > a > ( a > c > c ) > ( a > c > c ) > a ).
thf(tp_sK84_SY543,type,
sK84_SY543: ( a > a ) > a > ( a > c > c ) > ( a > c > c ) > a ).
thf(tp_sK8_SY347,type,
sK8_SY347: ( a > c > c ) > a ).
thf(tp_sK9_SY355,type,
sK9_SY355: ( a > c > c ) > a ).
thf(49,axiom,
( map_fun_a_a_a_c_c
= ( ^ [F2: a > a,G2: a > c > c,H2: a > a] : ( comp_a_c_c_a @ ( comp_a_c_c_a @ G2 @ H2 ) @ F2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_314_map__fun__def) ).
thf(64,axiom,
! [F: a > c > c,S: c,M: multiset_a,N: multiset_a] :
( ( finite746615251te_a_c @ F )
=> ( ( fold_mset_a_c @ F @ S @ ( plus_plus_multiset_a @ M @ N ) )
= ( fold_mset_a_c @ F @ ( fold_mset_a_c @ F @ S @ M ) @ N ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_299_comp__fun__commute_Ofold__mset__union) ).
thf(78,axiom,
! [F: a > c > c,G: a > a,X: a,F3: a > c > c,G3: a > a,X5: a] :
( ( ( F @ ( G @ X ) )
= ( F3 @ ( G3 @ X5 ) ) )
=> ( ( comp_a_c_c_a @ F @ G @ X )
= ( comp_a_c_c_a @ F3 @ G3 @ X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_285_comp__cong) ).
thf(80,axiom,
! [G: a > a,F: a > c > c] :
( ( ! [X3: a,Y3: a] :
( ( ( G @ X3 )
= ( G @ Y3 ) )
=> ( ( F @ X3 )
= ( F @ Y3 ) ) ) )
= ( ? [H2: a > c > c] :
( F
= ( comp_a_c_c_a @ H2 @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_283_function__factors__left) ).
thf(82,axiom,
! [G: a > c > c,F: a > c > c] :
( ( ! [X3: a] :
? [Y3: a] :
( ( G @ Y3 )
= ( F @ X3 ) ) )
= ( ? [H2: a > a] :
( F
= ( comp_a_c_c_a @ G @ H2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_281_function__factors__right) ).
thf(84,axiom,
! [M: a > a,G: a > a,X: a,N: a > a,H: a > a,F: a > c > c] :
( ( ( M @ ( G @ X ) )
= ( N @ ( H @ X ) ) )
=> ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ M ) @ G @ X )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ N ) @ H @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_279_type__copy__map__cong0) ).
thf(90,axiom,
! [M: a > a,G: b > a,X: b,N: a > a,H: b > a,F: a > c > c] :
( ( ( M @ ( G @ X ) )
= ( N @ ( H @ X ) ) )
=> ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ F @ M ) @ G @ X )
= ( comp_a_c_c_b @ ( comp_a_c_c_a @ F @ N ) @ H @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_273_type__copy__map__cong0) ).
thf(98,axiom,
( comp_a_c_c_a
= ( ^ [F2: a > c > c,G2: a > a,X3: a] : ( F2 @ ( G2 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_265_comp__def) ).
thf(102,axiom,
( comp_a_c_c_b
= ( ^ [F2: a > c > c,G2: b > a,X3: b] : ( F2 @ ( G2 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_261_comp__def) ).
thf(111,axiom,
! [F: ( c > c ) > c > c,G: a > c > c,H: a > a] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ F @ G ) @ H )
= ( comp_c_c_c_c_a @ F @ ( comp_a_c_c_a @ G @ H ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_252_comp__assoc) ).
thf(113,axiom,
! [F: a > c > c,G: a > a,H: a > a] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ G ) @ H )
= ( comp_a_c_c_a @ F @ ( comp_a_a_a @ G @ H ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_250_comp__assoc) ).
thf(115,axiom,
! [A3: a > c > c,B3: a > a,C2: a > c > c,D: a > a,V: a] :
( ( ( comp_a_c_c_a @ A3 @ B3 )
= ( comp_a_c_c_a @ C2 @ D ) )
=> ( ( A3 @ ( B3 @ V ) )
= ( C2 @ ( D @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_248_comp__eq__dest) ).
thf(119,axiom,
! [A3: a > c > c,B3: b > a,C2: a > c > c,D: b > a,V: b] :
( ( ( comp_a_c_c_b @ A3 @ B3 )
= ( comp_a_c_c_b @ C2 @ D ) )
=> ( ( A3 @ ( B3 @ V ) )
= ( C2 @ ( D @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_244_comp__eq__dest) ).
thf(122,axiom,
! [A3: a > c > c,B3: a > a,C2: a > c > c,D: a > a] :
( ( ( comp_a_c_c_a @ A3 @ B3 )
= ( comp_a_c_c_a @ C2 @ D ) )
=> ! [V2: a] :
( ( A3 @ ( B3 @ V2 ) )
= ( C2 @ ( D @ V2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_241_comp__eq__elim) ).
thf(126,axiom,
! [A3: a > c > c,B3: b > a,C2: a > c > c,D: b > a] :
( ( ( comp_a_c_c_b @ A3 @ B3 )
= ( comp_a_c_c_b @ C2 @ D ) )
=> ! [V2: b] :
( ( A3 @ ( B3 @ V2 ) )
= ( C2 @ ( D @ V2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_237_comp__eq__elim) ).
thf(129,axiom,
! [A3: a > c > c,B3: a > a,C2: a > c > c,V: a] :
( ( ( comp_a_c_c_a @ A3 @ B3 )
= C2 )
=> ( ( A3 @ ( B3 @ V ) )
= ( C2 @ V ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_234_comp__eq__dest__lhs) ).
thf(133,axiom,
! [A3: a > c > c,B3: b > a,C2: b > c > c,V: b] :
( ( ( comp_a_c_c_b @ A3 @ B3 )
= C2 )
=> ( ( A3 @ ( B3 @ V ) )
= ( C2 @ V ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_230_comp__eq__dest__lhs) ).
thf(144,axiom,
! [F: a > c > c,G: a > a,X: a,H: a > c > c,K: a > a] :
( ( ( F @ ( G @ X ) )
= ( H @ ( K @ X ) ) )
=> ( ( comp_a_c_c_a @ F @ G @ X )
= ( comp_a_c_c_a @ H @ K @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_219_comp__apply__eq) ).
thf(148,axiom,
! [F: a > c > c,G: b > a,X: b,H: a > c > c,K: b > a] :
( ( ( F @ ( G @ X ) )
= ( H @ ( K @ X ) ) )
=> ( ( comp_a_c_c_b @ F @ G @ X )
= ( comp_a_c_c_b @ H @ K @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_215_comp__apply__eq) ).
thf(157,axiom,
! [G: ( c > c ) > c > c,F: a > c > c,V: a > a] :
( ( comp_c_c_c_c_a @ G @ ( comp_a_c_c_a @ F @ V ) )
= ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ G @ F ) @ V ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_206_fun_Omap__comp) ).
thf(159,axiom,
! [G: a > c > c,F: a > a,V: a > a] :
( ( comp_a_c_c_a @ G @ ( comp_a_a_a @ F @ V ) )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ G @ F ) @ V ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_204_fun_Omap__comp) ).
thf(162,axiom,
! [F: a > c > c,G: a > a,L: a > c > c,H: b > a] :
( ( ( comp_a_c_c_a @ F @ G )
= L )
=> ( ( comp_a_c_c_b @ F @ ( comp_a_a_b @ G @ H ) )
= ( comp_a_c_c_b @ L @ H ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_201_rewriteL__comp__comp) ).
thf(167,axiom,
! [F: ( c > c ) > c > c,G: a > c > c,L: a > c > c,H: a > a] :
( ( ( comp_c_c_c_c_a @ F @ G )
= L )
=> ( ( comp_c_c_c_c_a @ F @ ( comp_a_c_c_a @ G @ H ) )
= ( comp_a_c_c_a @ L @ H ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_196_rewriteL__comp__comp) ).
thf(169,axiom,
! [F: a > c > c,G: a > a,L: a > c > c,H: a > a] :
( ( ( comp_a_c_c_a @ F @ G )
= L )
=> ( ( comp_a_c_c_a @ F @ ( comp_a_a_a @ G @ H ) )
= ( comp_a_c_c_a @ L @ H ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_194_rewriteL__comp__comp) ).
thf(177,axiom,
! [G: a > c > c,H: a > a,R4: a > c > c,F: ( c > c ) > c > c] :
( ( ( comp_a_c_c_a @ G @ H )
= R4 )
=> ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ F @ G ) @ H )
= ( comp_c_c_c_c_a @ F @ R4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_186_rewriteR__comp__comp) ).
thf(179,axiom,
! [G: a > a,H: a > a,R4: a > a,F: a > c > c] :
( ( ( comp_a_a_a @ G @ H )
= R4 )
=> ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ G ) @ H )
= ( comp_a_c_c_a @ F @ R4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_184_rewriteR__comp__comp) ).
thf(189,axiom,
! [F: a > c > c,G: a > a,L1: a > c > c,L2: a > a,H: a > a,R4: a > a] :
( ( ( comp_a_c_c_a @ F @ G )
= ( comp_a_c_c_a @ L1 @ L2 ) )
=> ( ( ( comp_a_a_a @ L2 @ H )
= R4 )
=> ( ( comp_a_c_c_a @ F @ ( comp_a_a_a @ G @ H ) )
= ( comp_a_c_c_a @ L1 @ R4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_174_rewriteL__comp__comp2) ).
thf(193,axiom,
! [G: a > a,H: b > a,R12: a > a,R22: b > a,F: a > c > c,L: a > c > c] :
( ( ( comp_a_a_b @ G @ H )
= ( comp_a_a_b @ R12 @ R22 ) )
=> ( ( ( comp_a_c_c_a @ F @ R12 )
= L )
=> ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ F @ G ) @ H )
= ( comp_a_c_c_b @ L @ R22 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_170_rewriteR__comp__comp2) ).
thf(197,axiom,
! [G: a > c > c,H: a > a,R12: a > c > c,R22: a > a,F: ( c > c ) > c > c,L: a > c > c] :
( ( ( comp_a_c_c_a @ G @ H )
= ( comp_a_c_c_a @ R12 @ R22 ) )
=> ( ( ( comp_c_c_c_c_a @ F @ R12 )
= L )
=> ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ F @ G ) @ H )
= ( comp_a_c_c_a @ L @ R22 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_166_rewriteR__comp__comp2) ).
thf(199,axiom,
! [G: a > a,H: a > a,R12: a > a,R22: a > a,F: a > c > c,L: a > c > c] :
( ( ( comp_a_a_a @ G @ H )
= ( comp_a_a_a @ R12 @ R22 ) )
=> ( ( ( comp_a_c_c_a @ F @ R12 )
= L )
=> ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ G ) @ H )
= ( comp_a_c_c_a @ L @ R22 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_164_rewriteR__comp__comp2) ).
thf(243,axiom,
( finite19304177ms_a_c
= ( ^ [F2: a > c > c] :
! [X3: a] :
( ( comp_c_c_c @ ( F2 @ X3 ) @ ( F2 @ X3 ) )
= ( F2 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_120_comp__fun__idem__axioms__def) ).
thf(245,axiom,
! [F: a > c > c] :
( ! [X2: a] :
( ( comp_c_c_c @ ( F @ X2 ) @ ( F @ X2 ) )
= ( F @ X2 ) )
=> ( finite19304177ms_a_c @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_118_comp__fun__idem__axioms_Ointro) ).
thf(247,axiom,
! [F: a > c > c] :
( ( finite40241358em_a_c @ F )
=> ( finite19304177ms_a_c @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_116_comp__fun__idem_Oaxioms_I2_J) ).
thf(250,axiom,
( finite40241358em_a_c
= ( ^ [F2: a > c > c] :
( ( finite746615251te_a_c @ F2 )
& ( finite19304177ms_a_c @ F2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_113_comp__fun__idem__def) ).
thf(252,axiom,
! [F: a > c > c] :
( ( finite746615251te_a_c @ F )
=> ( ( finite19304177ms_a_c @ F )
=> ( finite40241358em_a_c @ F ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_111_comp__fun__idem_Ointro) ).
thf(306,axiom,
( comp_a_c_c_a
= ( ^ [F2: a > c > c,G2: a > a,X3: a] : ( F2 @ ( G2 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_comp__apply) ).
thf(310,axiom,
( comp_a_c_c_b
= ( ^ [F2: a > c > c,G2: b > a,X3: b] : ( F2 @ ( G2 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_comp__apply) ).
thf(313,axiom,
! [F: a > c > c,G: a > a] :
( ( finite40241358em_a_c @ F )
=> ( finite40241358em_a_c @ ( comp_a_c_c_a @ F @ G ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_50_comp__fun__idem_Ocomp__comp__fun__idem) ).
thf(315,axiom,
! [F: a > c > c,G: b > a] :
( ( finite40241358em_a_c @ F )
=> ( finite868010765em_b_c @ ( comp_a_c_c_b @ F @ G ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_comp__fun__idem_Ocomp__comp__fun__idem) ).
thf(316,axiom,
! [F: a > c > c,X: a,Z: c] :
( ( finite40241358em_a_c @ F )
=> ( ( F @ X @ ( F @ X @ Z ) )
= ( F @ X @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_comp__fun__idem_Ofun__left__idem) ).
thf(318,axiom,
! [F: a > c > c,X: a] :
( ( finite40241358em_a_c @ F )
=> ( ( comp_c_c_c @ ( F @ X ) @ ( F @ X ) )
= ( F @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_comp__fun__idem_Ocomp__fun__idem) ).
thf(341,axiom,
! [F: a > c > c,Y: a,X: a] :
( ( finite746615251te_a_c @ F )
=> ( ( comp_c_c_c @ ( F @ Y ) @ ( F @ X ) )
= ( comp_c_c_c @ ( F @ X ) @ ( F @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_comp__fun__commute_Ocomp__fun__commute) ).
thf(343,axiom,
! [F: a > c > c] :
( ! [Y2: a,X2: a] :
( ( comp_c_c_c @ ( F @ Y2 ) @ ( F @ X2 ) )
= ( comp_c_c_c @ ( F @ X2 ) @ ( F @ Y2 ) ) )
=> ( finite746615251te_a_c @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_comp__fun__commute_Ointro) ).
thf(345,axiom,
( finite746615251te_a_c
= ( ^ [F2: a > c > c] :
! [Y3: a,X3: a] :
( ( comp_c_c_c @ ( F2 @ Y3 ) @ ( F2 @ X3 ) )
= ( comp_c_c_c @ ( F2 @ X3 ) @ ( F2 @ Y3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_comp__fun__commute__def) ).
thf(347,axiom,
! [F: a > c > c,G: a > a] :
( ( finite746615251te_a_c @ F )
=> ( finite746615251te_a_c @ ( comp_a_c_c_a @ F @ G ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_comp__fun__commute_Ocomp__comp__fun__commute) ).
thf(348,axiom,
! [F: a > c > c,G: b > a] :
( ( finite746615251te_a_c @ F )
=> ( finite1574384658te_b_c @ ( comp_a_c_c_b @ F @ G ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_comp__fun__commute_Ocomp__comp__fun__commute) ).
thf(350,axiom,
! [F: a > c > c,X: a,Z: c,A: fset_a] :
( ( finite746615251te_a_c @ F )
=> ( ( F @ X @ ( ffold_a_c @ F @ Z @ A ) )
= ( ffold_a_c @ F @ ( F @ X @ Z ) @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_comp__fun__commute_Offold__fun__left__comm) ).
thf(352,axiom,
! [F: a > c > c,Z: c,A: set_a,X: c,Y: c] :
( ( finite746615251te_a_c @ F )
=> ( ( finite1511629768ph_a_c @ F @ Z @ A @ X )
=> ( ( finite1511629768ph_a_c @ F @ Z @ A @ Y )
=> ( Y = X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_comp__fun__commute_Ofold__graph__determ) ).
thf(354,axiom,
! [F: a > c > c] :
( ( finite40241358em_a_c @ F )
=> ( finite746615251te_a_c @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_comp__fun__idem_Oaxioms_I1_J) ).
thf(356,axiom,
! [F: a > c > c,X: a,S: c,M: multiset_a] :
( ( finite746615251te_a_c @ F )
=> ( ( F @ X @ ( fold_mset_a_c @ F @ S @ M ) )
= ( fold_mset_a_c @ F @ ( F @ X @ S ) @ M ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_comp__fun__commute_Ofold__mset__fun__left__comm) ).
thf(358,axiom,
! [F: a > c > c,G: a > c > c,H: c > c,W: c,A: multiset_a] :
( ( finite746615251te_a_c @ F )
=> ( ( finite746615251te_a_c @ G )
=> ( ! [X2: a,Y2: c] :
( ( H @ ( G @ X2 @ Y2 ) )
= ( F @ X2 @ ( H @ Y2 ) ) )
=> ( ( H @ ( fold_mset_a_c @ G @ W @ A ) )
= ( fold_mset_a_c @ F @ ( H @ W ) @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_comp__fun__commute_Ofold__mset__fusion) ).
thf(362,axiom,
! [F: a > c > c,Y: a,X: a,Z: c] :
( ( finite746615251te_a_c @ F )
=> ( ( F @ Y @ ( F @ X @ Z ) )
= ( F @ X @ ( F @ Y @ Z ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_comp__fun__commute_Ofun__left__comm) ).
thf(363,axiom,
finite746615251te_a_c @ f1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms_I2_J) ).
thf(364,conjecture,
finite746615251te_a_c @ f1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(365,negated_conjecture,
( ( finite746615251te_a_c @ f1 )
= $false ),
inference(negate_conjecture,[status(cth)],[364]) ).
thf(366,plain,
( ( finite746615251te_a_c @ f1 )
= $false ),
inference(unfold_def,[status(thm)],[365]) ).
thf(367,plain,
( ( map_fun_a_a_a_c_c
= ( ^ [F2: a > a,G2: a > c > c,H2: a > a] : ( comp_a_c_c_a @ ( comp_a_c_c_a @ G2 @ H2 ) @ F2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(368,plain,
( ( ! [F: a > c > c,G: a > a,X: a,F3: a > c > c,G3: a > a,X5: a] :
( ( ( F @ ( G @ X ) )
= ( F3 @ ( G3 @ X5 ) ) )
=> ( ( comp_a_c_c_a @ F @ G @ X )
= ( comp_a_c_c_a @ F3 @ G3 @ X5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(369,plain,
( ( ! [G: a > a,F: a > c > c] :
( ( ! [X3: a,Y3: a] :
( ( ( G @ X3 )
= ( G @ Y3 ) )
=> ( ( F @ X3 )
= ( F @ Y3 ) ) ) )
= ( ? [H2: a > c > c] :
( F
= ( comp_a_c_c_a @ H2 @ G ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(370,plain,
( ( ! [G: a > c > c,F: a > c > c] :
( ( ! [X3: a] :
? [Y3: a] :
( ( G @ Y3 )
= ( F @ X3 ) ) )
= ( ? [H2: a > a] :
( F
= ( comp_a_c_c_a @ G @ H2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(371,plain,
( ( ! [M: a > a,G: a > a,X: a,N: a > a,H: a > a,F: a > c > c] :
( ( ( M @ ( G @ X ) )
= ( N @ ( H @ X ) ) )
=> ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ M ) @ G @ X )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ N ) @ H @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(372,plain,
( ( ! [M: a > a,G: b > a,X: b,N: a > a,H: b > a,F: a > c > c] :
( ( ( M @ ( G @ X ) )
= ( N @ ( H @ X ) ) )
=> ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ F @ M ) @ G @ X )
= ( comp_a_c_c_b @ ( comp_a_c_c_a @ F @ N ) @ H @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(373,plain,
( ( comp_a_c_c_a
= ( ^ [F2: a > c > c,G2: a > a,X3: a] : ( F2 @ ( G2 @ X3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(374,plain,
( ( comp_a_c_c_b
= ( ^ [F2: a > c > c,G2: b > a,X3: b] : ( F2 @ ( G2 @ X3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(375,plain,
( ( ! [F: ( c > c ) > c > c,G: a > c > c,H: a > a] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ F @ G ) @ H )
= ( comp_c_c_c_c_a @ F @ ( comp_a_c_c_a @ G @ H ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(376,plain,
( ( ! [F: a > c > c,G: a > a,H: a > a] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ G ) @ H )
= ( comp_a_c_c_a @ F @ ( comp_a_a_a @ G @ H ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(377,plain,
( ( ! [A3: a > c > c,B3: a > a,C2: a > c > c,D: a > a,V: a] :
( ( ( comp_a_c_c_a @ A3 @ B3 )
= ( comp_a_c_c_a @ C2 @ D ) )
=> ( ( A3 @ ( B3 @ V ) )
= ( C2 @ ( D @ V ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(378,plain,
( ( ! [A3: a > c > c,B3: b > a,C2: a > c > c,D: b > a,V: b] :
( ( ( comp_a_c_c_b @ A3 @ B3 )
= ( comp_a_c_c_b @ C2 @ D ) )
=> ( ( A3 @ ( B3 @ V ) )
= ( C2 @ ( D @ V ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(379,plain,
( ( ! [A3: a > c > c,B3: a > a,C2: a > c > c,D: a > a] :
( ( ( comp_a_c_c_a @ A3 @ B3 )
= ( comp_a_c_c_a @ C2 @ D ) )
=> ! [V2: a] :
( ( A3 @ ( B3 @ V2 ) )
= ( C2 @ ( D @ V2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(380,plain,
( ( ! [A3: a > c > c,B3: b > a,C2: a > c > c,D: b > a] :
( ( ( comp_a_c_c_b @ A3 @ B3 )
= ( comp_a_c_c_b @ C2 @ D ) )
=> ! [V2: b] :
( ( A3 @ ( B3 @ V2 ) )
= ( C2 @ ( D @ V2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(381,plain,
( ( ! [A3: a > c > c,B3: a > a,C2: a > c > c,V: a] :
( ( ( comp_a_c_c_a @ A3 @ B3 )
= C2 )
=> ( ( A3 @ ( B3 @ V ) )
= ( C2 @ V ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(382,plain,
( ( ! [A3: a > c > c,B3: b > a,C2: b > c > c,V: b] :
( ( ( comp_a_c_c_b @ A3 @ B3 )
= C2 )
=> ( ( A3 @ ( B3 @ V ) )
= ( C2 @ V ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(383,plain,
( ( ! [F: a > c > c,G: a > a,X: a,H: a > c > c,K: a > a] :
( ( ( F @ ( G @ X ) )
= ( H @ ( K @ X ) ) )
=> ( ( comp_a_c_c_a @ F @ G @ X )
= ( comp_a_c_c_a @ H @ K @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(384,plain,
( ( ! [F: a > c > c,G: b > a,X: b,H: a > c > c,K: b > a] :
( ( ( F @ ( G @ X ) )
= ( H @ ( K @ X ) ) )
=> ( ( comp_a_c_c_b @ F @ G @ X )
= ( comp_a_c_c_b @ H @ K @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(385,plain,
( ( ! [G: ( c > c ) > c > c,F: a > c > c,V: a > a] :
( ( comp_c_c_c_c_a @ G @ ( comp_a_c_c_a @ F @ V ) )
= ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ G @ F ) @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(386,plain,
( ( ! [G: a > c > c,F: a > a,V: a > a] :
( ( comp_a_c_c_a @ G @ ( comp_a_a_a @ F @ V ) )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ G @ F ) @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(387,plain,
( ( ! [F: a > c > c,G: a > a,L: a > c > c,H: b > a] :
( ( ( comp_a_c_c_a @ F @ G )
= L )
=> ( ( comp_a_c_c_b @ F @ ( comp_a_a_b @ G @ H ) )
= ( comp_a_c_c_b @ L @ H ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(388,plain,
( ( ! [F: ( c > c ) > c > c,G: a > c > c,L: a > c > c,H: a > a] :
( ( ( comp_c_c_c_c_a @ F @ G )
= L )
=> ( ( comp_c_c_c_c_a @ F @ ( comp_a_c_c_a @ G @ H ) )
= ( comp_a_c_c_a @ L @ H ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(389,plain,
( ( ! [F: a > c > c,G: a > a,L: a > c > c,H: a > a] :
( ( ( comp_a_c_c_a @ F @ G )
= L )
=> ( ( comp_a_c_c_a @ F @ ( comp_a_a_a @ G @ H ) )
= ( comp_a_c_c_a @ L @ H ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(390,plain,
( ( ! [G: a > c > c,H: a > a,R4: a > c > c,F: ( c > c ) > c > c] :
( ( ( comp_a_c_c_a @ G @ H )
= R4 )
=> ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ F @ G ) @ H )
= ( comp_c_c_c_c_a @ F @ R4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(391,plain,
( ( ! [G: a > a,H: a > a,R4: a > a,F: a > c > c] :
( ( ( comp_a_a_a @ G @ H )
= R4 )
=> ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ G ) @ H )
= ( comp_a_c_c_a @ F @ R4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(392,plain,
( ( ! [F: a > c > c,G: a > a,L1: a > c > c,L2: a > a,H: a > a,R4: a > a] :
( ( ( comp_a_c_c_a @ F @ G )
= ( comp_a_c_c_a @ L1 @ L2 ) )
=> ( ( ( comp_a_a_a @ L2 @ H )
= R4 )
=> ( ( comp_a_c_c_a @ F @ ( comp_a_a_a @ G @ H ) )
= ( comp_a_c_c_a @ L1 @ R4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(393,plain,
( ( ! [G: a > a,H: b > a,R12: a > a,R22: b > a,F: a > c > c,L: a > c > c] :
( ( ( comp_a_a_b @ G @ H )
= ( comp_a_a_b @ R12 @ R22 ) )
=> ( ( ( comp_a_c_c_a @ F @ R12 )
= L )
=> ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ F @ G ) @ H )
= ( comp_a_c_c_b @ L @ R22 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(394,plain,
( ( ! [G: a > c > c,H: a > a,R12: a > c > c,R22: a > a,F: ( c > c ) > c > c,L: a > c > c] :
( ( ( comp_a_c_c_a @ G @ H )
= ( comp_a_c_c_a @ R12 @ R22 ) )
=> ( ( ( comp_c_c_c_c_a @ F @ R12 )
= L )
=> ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ F @ G ) @ H )
= ( comp_a_c_c_a @ L @ R22 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(395,plain,
( ( ! [G: a > a,H: a > a,R12: a > a,R22: a > a,F: a > c > c,L: a > c > c] :
( ( ( comp_a_a_a @ G @ H )
= ( comp_a_a_a @ R12 @ R22 ) )
=> ( ( ( comp_a_c_c_a @ F @ R12 )
= L )
=> ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ G ) @ H )
= ( comp_a_c_c_a @ L @ R22 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(396,plain,
( ( finite19304177ms_a_c
= ( ^ [F2: a > c > c] :
! [X3: a] :
( ( comp_c_c_c @ ( F2 @ X3 ) @ ( F2 @ X3 ) )
= ( F2 @ X3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[243]) ).
thf(397,plain,
( ( ! [F: a > c > c] :
( ! [X2: a] :
( ( comp_c_c_c @ ( F @ X2 ) @ ( F @ X2 ) )
= ( F @ X2 ) )
=> ( finite19304177ms_a_c @ F ) ) )
= $true ),
inference(unfold_def,[status(thm)],[245]) ).
thf(398,plain,
( ( ! [F: a > c > c] :
( ( finite40241358em_a_c @ F )
=> ( finite19304177ms_a_c @ F ) ) )
= $true ),
inference(unfold_def,[status(thm)],[247]) ).
thf(399,plain,
( ( comp_a_c_c_a
= ( ^ [F2: a > c > c,G2: a > a,X3: a] : ( F2 @ ( G2 @ X3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(400,plain,
( ( comp_a_c_c_b
= ( ^ [F2: a > c > c,G2: b > a,X3: b] : ( F2 @ ( G2 @ X3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[310]) ).
thf(401,plain,
( ( ! [F: a > c > c,G: a > a] :
( ( finite40241358em_a_c @ F )
=> ( finite40241358em_a_c @ ( comp_a_c_c_a @ F @ G ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(402,plain,
( ( ! [F: a > c > c,G: b > a] :
( ( finite40241358em_a_c @ F )
=> ( finite868010765em_b_c @ ( comp_a_c_c_b @ F @ G ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[315]) ).
thf(403,plain,
( ( ! [F: a > c > c,X: a,Z: c] :
( ( finite40241358em_a_c @ F )
=> ( ( F @ X @ ( F @ X @ Z ) )
= ( F @ X @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[316]) ).
thf(404,plain,
( ( ! [F: a > c > c,X: a] :
( ( finite40241358em_a_c @ F )
=> ( ( comp_c_c_c @ ( F @ X ) @ ( F @ X ) )
= ( F @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[318]) ).
thf(405,plain,
( ( ! [F: a > c > c,S: c,M: multiset_a,N: multiset_a] :
( ( finite746615251te_a_c @ F )
=> ( ( fold_mset_a_c @ F @ S @ ( plus_plus_multiset_a @ M @ N ) )
= ( fold_mset_a_c @ F @ ( fold_mset_a_c @ F @ S @ M ) @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(406,plain,
( ( finite40241358em_a_c
= ( ^ [F2: a > c > c] :
( ( finite746615251te_a_c @ F2 )
& ( finite19304177ms_a_c @ F2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[250]) ).
thf(407,plain,
( ( ! [F: a > c > c] :
( ( finite746615251te_a_c @ F )
=> ( ( finite19304177ms_a_c @ F )
=> ( finite40241358em_a_c @ F ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[252]) ).
thf(408,plain,
( ( ! [F: a > c > c,Y: a,X: a] :
( ( finite746615251te_a_c @ F )
=> ( ( comp_c_c_c @ ( F @ Y ) @ ( F @ X ) )
= ( comp_c_c_c @ ( F @ X ) @ ( F @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(409,plain,
( ( ! [F: a > c > c] :
( ! [Y2: a,X2: a] :
( ( comp_c_c_c @ ( F @ Y2 ) @ ( F @ X2 ) )
= ( comp_c_c_c @ ( F @ X2 ) @ ( F @ Y2 ) ) )
=> ( finite746615251te_a_c @ F ) ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(410,plain,
( ( finite746615251te_a_c
= ( ^ [F2: a > c > c] :
! [Y3: a,X3: a] :
( ( comp_c_c_c @ ( F2 @ Y3 ) @ ( F2 @ X3 ) )
= ( comp_c_c_c @ ( F2 @ X3 ) @ ( F2 @ Y3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(411,plain,
( ( ! [F: a > c > c,G: a > a] :
( ( finite746615251te_a_c @ F )
=> ( finite746615251te_a_c @ ( comp_a_c_c_a @ F @ G ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(412,plain,
( ( ! [F: a > c > c,G: b > a] :
( ( finite746615251te_a_c @ F )
=> ( finite1574384658te_b_c @ ( comp_a_c_c_b @ F @ G ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(413,plain,
( ( ! [F: a > c > c,X: a,Z: c,A: fset_a] :
( ( finite746615251te_a_c @ F )
=> ( ( F @ X @ ( ffold_a_c @ F @ Z @ A ) )
= ( ffold_a_c @ F @ ( F @ X @ Z ) @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(414,plain,
( ( ! [F: a > c > c,Z: c,A: set_a,X: c,Y: c] :
( ( finite746615251te_a_c @ F )
=> ( ( finite1511629768ph_a_c @ F @ Z @ A @ X )
=> ( ( finite1511629768ph_a_c @ F @ Z @ A @ Y )
=> ( Y = X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(415,plain,
( ( ! [F: a > c > c] :
( ( finite40241358em_a_c @ F )
=> ( finite746615251te_a_c @ F ) ) )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(416,plain,
( ( ! [F: a > c > c,X: a,S: c,M: multiset_a] :
( ( finite746615251te_a_c @ F )
=> ( ( F @ X @ ( fold_mset_a_c @ F @ S @ M ) )
= ( fold_mset_a_c @ F @ ( F @ X @ S ) @ M ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[356]) ).
thf(417,plain,
( ( ! [F: a > c > c,G: a > c > c,H: c > c,W: c,A: multiset_a] :
( ( finite746615251te_a_c @ F )
=> ( ( finite746615251te_a_c @ G )
=> ( ! [X2: a,Y2: c] :
( ( H @ ( G @ X2 @ Y2 ) )
= ( F @ X2 @ ( H @ Y2 ) ) )
=> ( ( H @ ( fold_mset_a_c @ G @ W @ A ) )
= ( fold_mset_a_c @ F @ ( H @ W ) @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[358]) ).
thf(418,plain,
( ( ! [F: a > c > c,Y: a,X: a,Z: c] :
( ( finite746615251te_a_c @ F )
=> ( ( F @ Y @ ( F @ X @ Z ) )
= ( F @ X @ ( F @ Y @ Z ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[362]) ).
thf(419,plain,
( ( finite746615251te_a_c @ f1 )
= $true ),
inference(unfold_def,[status(thm)],[363]) ).
thf(420,plain,
( ( ~ ( finite746615251te_a_c @ f1 ) )
= $true ),
inference(polarity_switch,[status(thm)],[366]) ).
thf(421,plain,
( ( ! [F: a > c > c,G: a > a,X: a,F3: a > c > c,G3: a > a,X5: a] :
( ( ( F @ ( G @ X ) )
!= ( F3 @ ( G3 @ X5 ) ) )
| ( ( comp_a_c_c_a @ F @ G @ X )
= ( comp_a_c_c_a @ F3 @ G3 @ X5 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[368]) ).
thf(422,plain,
( ( ! [M: a > a,G: a > a,X: a,N: a > a,H: a > a] :
( ( ( M @ ( G @ X ) )
!= ( N @ ( H @ X ) ) )
| ! [F: a > c > c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ M ) @ G @ X )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ N ) @ H @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[371]) ).
thf(423,plain,
( ( ! [M: a > a,G: b > a,X: b,N: a > a,H: b > a] :
( ( ( M @ ( G @ X ) )
!= ( N @ ( H @ X ) ) )
| ! [F: a > c > c] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ F @ M ) @ G @ X )
= ( comp_a_c_c_b @ ( comp_a_c_c_a @ F @ N ) @ H @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[372]) ).
thf(424,plain,
( ( ! [A3: a > c > c,B3: a > a,C2: a > c > c,D: a > a] :
( ( ( comp_a_c_c_a @ A3 @ B3 )
!= ( comp_a_c_c_a @ C2 @ D ) )
| ! [V: a] :
( ( A3 @ ( B3 @ V ) )
= ( C2 @ ( D @ V ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[377]) ).
thf(425,plain,
( ( ! [A3: a > c > c,B3: b > a,C2: a > c > c,D: b > a] :
( ( ( comp_a_c_c_b @ A3 @ B3 )
!= ( comp_a_c_c_b @ C2 @ D ) )
| ! [V: b] :
( ( A3 @ ( B3 @ V ) )
= ( C2 @ ( D @ V ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[378]) ).
thf(426,plain,
( ( ! [A3: a > c > c,B3: a > a,C2: a > c > c,D: a > a] :
( ( ( comp_a_c_c_a @ A3 @ B3 )
!= ( comp_a_c_c_a @ C2 @ D ) )
| ! [V2: a] :
( ( A3 @ ( B3 @ V2 ) )
= ( C2 @ ( D @ V2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[379]) ).
thf(427,plain,
( ( ! [A3: a > c > c,B3: b > a,C2: a > c > c,D: b > a] :
( ( ( comp_a_c_c_b @ A3 @ B3 )
!= ( comp_a_c_c_b @ C2 @ D ) )
| ! [V2: b] :
( ( A3 @ ( B3 @ V2 ) )
= ( C2 @ ( D @ V2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[380]) ).
thf(428,plain,
( ( ! [A3: a > c > c,B3: a > a,C2: a > c > c] :
( ( ( comp_a_c_c_a @ A3 @ B3 )
!= C2 )
| ! [V: a] :
( ( A3 @ ( B3 @ V ) )
= ( C2 @ V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[381]) ).
thf(429,plain,
( ( ! [A3: a > c > c,B3: b > a,C2: b > c > c] :
( ( ( comp_a_c_c_b @ A3 @ B3 )
!= C2 )
| ! [V: b] :
( ( A3 @ ( B3 @ V ) )
= ( C2 @ V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[382]) ).
thf(430,plain,
( ( ! [F: a > c > c,G: a > a,X: a,H: a > c > c,K: a > a] :
( ( ( F @ ( G @ X ) )
!= ( H @ ( K @ X ) ) )
| ( ( comp_a_c_c_a @ F @ G @ X )
= ( comp_a_c_c_a @ H @ K @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[383]) ).
thf(431,plain,
( ( ! [F: a > c > c,G: b > a,X: b,H: a > c > c,K: b > a] :
( ( ( F @ ( G @ X ) )
!= ( H @ ( K @ X ) ) )
| ( ( comp_a_c_c_b @ F @ G @ X )
= ( comp_a_c_c_b @ H @ K @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[384]) ).
thf(432,plain,
( ( ! [F: a > c > c,G: a > a,L: a > c > c] :
( ( ( comp_a_c_c_a @ F @ G )
!= L )
| ! [H: b > a] :
( ( comp_a_c_c_b @ F @ ( comp_a_a_b @ G @ H ) )
= ( comp_a_c_c_b @ L @ H ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[387]) ).
thf(433,plain,
( ( ! [F: ( c > c ) > c > c,G: a > c > c,L: a > c > c] :
( ( ( comp_c_c_c_c_a @ F @ G )
!= L )
| ! [H: a > a] :
( ( comp_c_c_c_c_a @ F @ ( comp_a_c_c_a @ G @ H ) )
= ( comp_a_c_c_a @ L @ H ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[388]) ).
thf(434,plain,
( ( ! [F: a > c > c,G: a > a,L: a > c > c] :
( ( ( comp_a_c_c_a @ F @ G )
!= L )
| ! [H: a > a] :
( ( comp_a_c_c_a @ F @ ( comp_a_a_a @ G @ H ) )
= ( comp_a_c_c_a @ L @ H ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[389]) ).
thf(435,plain,
( ( ! [G: a > c > c,H: a > a,R4: a > c > c] :
( ( ( comp_a_c_c_a @ G @ H )
!= R4 )
| ! [F: ( c > c ) > c > c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ F @ G ) @ H )
= ( comp_c_c_c_c_a @ F @ R4 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[390]) ).
thf(436,plain,
( ( ! [G: a > a,H: a > a,R4: a > a] :
( ( ( comp_a_a_a @ G @ H )
!= R4 )
| ! [F: a > c > c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ G ) @ H )
= ( comp_a_c_c_a @ F @ R4 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[391]) ).
thf(437,plain,
( ( ! [F: a > c > c,G: a > a,L1: a > c > c,L2: a > a] :
( ( ( comp_a_c_c_a @ F @ G )
!= ( comp_a_c_c_a @ L1 @ L2 ) )
| ! [H: a > a,R4: a > a] :
( ( ( comp_a_a_a @ L2 @ H )
!= R4 )
| ( ( comp_a_c_c_a @ F @ ( comp_a_a_a @ G @ H ) )
= ( comp_a_c_c_a @ L1 @ R4 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[392]) ).
thf(438,plain,
( ( ! [G: a > a,H: b > a,R12: a > a,R22: b > a] :
( ( ( comp_a_a_b @ G @ H )
!= ( comp_a_a_b @ R12 @ R22 ) )
| ! [F: a > c > c,L: a > c > c] :
( ( ( comp_a_c_c_a @ F @ R12 )
!= L )
| ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ F @ G ) @ H )
= ( comp_a_c_c_b @ L @ R22 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[393]) ).
thf(439,plain,
( ( ! [G: a > c > c,H: a > a,R12: a > c > c,R22: a > a] :
( ( ( comp_a_c_c_a @ G @ H )
!= ( comp_a_c_c_a @ R12 @ R22 ) )
| ! [F: ( c > c ) > c > c,L: a > c > c] :
( ( ( comp_c_c_c_c_a @ F @ R12 )
!= L )
| ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ F @ G ) @ H )
= ( comp_a_c_c_a @ L @ R22 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[394]) ).
thf(440,plain,
( ( ! [G: a > a,H: a > a,R12: a > a,R22: a > a] :
( ( ( comp_a_a_a @ G @ H )
!= ( comp_a_a_a @ R12 @ R22 ) )
| ! [F: a > c > c,L: a > c > c] :
( ( ( comp_a_c_c_a @ F @ R12 )
!= L )
| ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ G ) @ H )
= ( comp_a_c_c_a @ L @ R22 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[395]) ).
thf(441,plain,
( ( ! [F: a > c > c] :
( ( ( comp_c_c_c @ ( F @ ( sK1_X2 @ F ) ) @ ( F @ ( sK1_X2 @ F ) ) )
!= ( F @ ( sK1_X2 @ F ) ) )
| ( finite19304177ms_a_c @ F ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[397]) ).
thf(442,plain,
( ( ! [F: a > c > c] :
( ~ ( finite40241358em_a_c @ F )
| ( finite19304177ms_a_c @ F ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[398]) ).
thf(443,plain,
( ( ! [F: a > c > c] :
( ~ ( finite40241358em_a_c @ F )
| ! [G: a > a] : ( finite40241358em_a_c @ ( comp_a_c_c_a @ F @ G ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[401]) ).
thf(444,plain,
( ( ! [F: a > c > c] :
( ~ ( finite40241358em_a_c @ F )
| ! [G: b > a] : ( finite868010765em_b_c @ ( comp_a_c_c_b @ F @ G ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[402]) ).
thf(445,plain,
( ( ! [F: a > c > c] :
( ~ ( finite40241358em_a_c @ F )
| ! [X: a,Z: c] :
( ( F @ X @ ( F @ X @ Z ) )
= ( F @ X @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[403]) ).
thf(446,plain,
( ( ! [F: a > c > c] :
( ~ ( finite40241358em_a_c @ F )
| ! [X: a] :
( ( comp_c_c_c @ ( F @ X ) @ ( F @ X ) )
= ( F @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[404]) ).
thf(447,plain,
( ( ! [F: a > c > c,S: c] :
( ~ ( finite746615251te_a_c @ F )
| ! [M: multiset_a,N: multiset_a] :
( ( fold_mset_a_c @ F @ S @ ( plus_plus_multiset_a @ M @ N ) )
= ( fold_mset_a_c @ F @ ( fold_mset_a_c @ F @ S @ M ) @ N ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[405]) ).
thf(448,plain,
( ( finite40241358em_a_c
= ( ^ [F2: a > c > c] :
( ( finite19304177ms_a_c @ F2 )
& ( finite746615251te_a_c @ F2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[406]) ).
thf(449,plain,
( ( ! [F: a > c > c] :
( ~ ( finite746615251te_a_c @ F )
| ~ ( finite19304177ms_a_c @ F )
| ( finite40241358em_a_c @ F ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[407]) ).
thf(450,plain,
( ( ! [F: a > c > c] :
( ~ ( finite746615251te_a_c @ F )
| ! [Y: a,X: a] :
( ( comp_c_c_c @ ( F @ Y ) @ ( F @ X ) )
= ( comp_c_c_c @ ( F @ X ) @ ( F @ Y ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[408]) ).
thf(451,plain,
( ( ! [F: a > c > c] :
( ( ( comp_c_c_c @ ( F @ ( sK2_Y2 @ F ) ) @ ( F @ ( sK3_SY195 @ F ) ) )
!= ( comp_c_c_c @ ( F @ ( sK3_SY195 @ F ) ) @ ( F @ ( sK2_Y2 @ F ) ) ) )
| ( finite746615251te_a_c @ F ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[409]) ).
thf(452,plain,
( ( ! [F: a > c > c] :
( ~ ( finite746615251te_a_c @ F )
| ! [G: a > a] : ( finite746615251te_a_c @ ( comp_a_c_c_a @ F @ G ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[411]) ).
thf(453,plain,
( ( ! [F: a > c > c] :
( ~ ( finite746615251te_a_c @ F )
| ! [G: b > a] : ( finite1574384658te_b_c @ ( comp_a_c_c_b @ F @ G ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[412]) ).
thf(454,plain,
( ( ! [F: a > c > c,X: a] :
( ~ ( finite746615251te_a_c @ F )
| ! [Z: c,A: fset_a] :
( ( F @ X @ ( ffold_a_c @ F @ Z @ A ) )
= ( ffold_a_c @ F @ ( F @ X @ Z ) @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[413]) ).
thf(455,plain,
( ( ! [F: a > c > c,Z: c,A: set_a] :
( ~ ( finite746615251te_a_c @ F )
| ! [X: c] :
( ~ ( finite1511629768ph_a_c @ F @ Z @ A @ X )
| ! [Y: c] :
( ~ ( finite1511629768ph_a_c @ F @ Z @ A @ Y )
| ( Y = X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[414]) ).
thf(456,plain,
( ( ! [F: a > c > c] :
( ~ ( finite40241358em_a_c @ F )
| ( finite746615251te_a_c @ F ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[415]) ).
thf(457,plain,
( ( ! [F: a > c > c,X: a] :
( ~ ( finite746615251te_a_c @ F )
| ! [S: c,M: multiset_a] :
( ( F @ X @ ( fold_mset_a_c @ F @ S @ M ) )
= ( fold_mset_a_c @ F @ ( F @ X @ S ) @ M ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[416]) ).
thf(458,plain,
( ( ! [F: a > c > c,G: a > c > c,H: c > c] :
( ~ ( finite746615251te_a_c @ F )
| ~ ( finite746615251te_a_c @ G )
| ( ( H @ ( G @ ( sK4_X2 @ H @ G @ F ) @ ( sK5_SY196 @ H @ G @ F ) ) )
!= ( F @ ( sK4_X2 @ H @ G @ F ) @ ( H @ ( sK5_SY196 @ H @ G @ F ) ) ) )
| ! [W: c,A: multiset_a] :
( ( H @ ( fold_mset_a_c @ G @ W @ A ) )
= ( fold_mset_a_c @ F @ ( H @ W ) @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[417]) ).
thf(459,plain,
( ( ! [F: a > c > c,Y: a] :
( ~ ( finite746615251te_a_c @ F )
| ! [X: a,Z: c] :
( ( F @ Y @ ( F @ X @ Z ) )
= ( F @ X @ ( F @ Y @ Z ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[418]) ).
thf(460,plain,
( ( finite746615251te_a_c @ f1 )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(461,plain,
( ( ! [F: a > c > c,Y: a] :
( ~ ( finite746615251te_a_c @ F )
| ! [X: a,Z: c] :
( ( F @ Y @ ( F @ X @ Z ) )
= ( F @ X @ ( F @ Y @ Z ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[459]) ).
thf(462,plain,
( ( ! [F: a > c > c,G: a > c > c,H: c > c] :
( ~ ( finite746615251te_a_c @ F )
| ~ ( finite746615251te_a_c @ G )
| ( ( H @ ( G @ ( sK4_X2 @ H @ G @ F ) @ ( sK5_SY196 @ H @ G @ F ) ) )
!= ( F @ ( sK4_X2 @ H @ G @ F ) @ ( H @ ( sK5_SY196 @ H @ G @ F ) ) ) )
| ! [W: c,A: multiset_a] :
( ( H @ ( fold_mset_a_c @ G @ W @ A ) )
= ( fold_mset_a_c @ F @ ( H @ W ) @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[458]) ).
thf(463,plain,
( ( ! [F: a > c > c,X: a] :
( ~ ( finite746615251te_a_c @ F )
| ! [S: c,M: multiset_a] :
( ( F @ X @ ( fold_mset_a_c @ F @ S @ M ) )
= ( fold_mset_a_c @ F @ ( F @ X @ S ) @ M ) ) ) )
= $true ),
inference(copy,[status(thm)],[457]) ).
thf(464,plain,
( ( ! [F: a > c > c] :
( ~ ( finite40241358em_a_c @ F )
| ( finite746615251te_a_c @ F ) ) )
= $true ),
inference(copy,[status(thm)],[456]) ).
thf(465,plain,
( ( ! [F: a > c > c,Z: c,A: set_a] :
( ~ ( finite746615251te_a_c @ F )
| ! [X: c] :
( ~ ( finite1511629768ph_a_c @ F @ Z @ A @ X )
| ! [Y: c] :
( ~ ( finite1511629768ph_a_c @ F @ Z @ A @ Y )
| ( Y = X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[455]) ).
thf(466,plain,
( ( ! [F: a > c > c,X: a] :
( ~ ( finite746615251te_a_c @ F )
| ! [Z: c,A: fset_a] :
( ( F @ X @ ( ffold_a_c @ F @ Z @ A ) )
= ( ffold_a_c @ F @ ( F @ X @ Z ) @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[454]) ).
thf(467,plain,
( ( ! [F: a > c > c] :
( ~ ( finite746615251te_a_c @ F )
| ! [G: b > a] : ( finite1574384658te_b_c @ ( comp_a_c_c_b @ F @ G ) ) ) )
= $true ),
inference(copy,[status(thm)],[453]) ).
thf(468,plain,
( ( ! [F: a > c > c] :
( ~ ( finite746615251te_a_c @ F )
| ! [G: a > a] : ( finite746615251te_a_c @ ( comp_a_c_c_a @ F @ G ) ) ) )
= $true ),
inference(copy,[status(thm)],[452]) ).
thf(469,plain,
( ( finite746615251te_a_c
= ( ^ [F2: a > c > c] :
! [Y3: a,X3: a] :
( ( comp_c_c_c @ ( F2 @ Y3 ) @ ( F2 @ X3 ) )
= ( comp_c_c_c @ ( F2 @ X3 ) @ ( F2 @ Y3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(470,plain,
( ( ! [F: a > c > c] :
( ( ( comp_c_c_c @ ( F @ ( sK2_Y2 @ F ) ) @ ( F @ ( sK3_SY195 @ F ) ) )
!= ( comp_c_c_c @ ( F @ ( sK3_SY195 @ F ) ) @ ( F @ ( sK2_Y2 @ F ) ) ) )
| ( finite746615251te_a_c @ F ) ) )
= $true ),
inference(copy,[status(thm)],[451]) ).
thf(471,plain,
( ( ! [F: a > c > c] :
( ~ ( finite746615251te_a_c @ F )
| ! [Y: a,X: a] :
( ( comp_c_c_c @ ( F @ Y ) @ ( F @ X ) )
= ( comp_c_c_c @ ( F @ X ) @ ( F @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[450]) ).
thf(472,plain,
( ( ! [F: a > c > c] :
( ~ ( finite746615251te_a_c @ F )
| ~ ( finite19304177ms_a_c @ F )
| ( finite40241358em_a_c @ F ) ) )
= $true ),
inference(copy,[status(thm)],[449]) ).
thf(473,plain,
( ( finite40241358em_a_c
= ( ^ [F2: a > c > c] :
( ( finite19304177ms_a_c @ F2 )
& ( finite746615251te_a_c @ F2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[448]) ).
thf(474,plain,
( ( ! [F: a > c > c,S: c] :
( ~ ( finite746615251te_a_c @ F )
| ! [M: multiset_a,N: multiset_a] :
( ( fold_mset_a_c @ F @ S @ ( plus_plus_multiset_a @ M @ N ) )
= ( fold_mset_a_c @ F @ ( fold_mset_a_c @ F @ S @ M ) @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[447]) ).
thf(475,plain,
( ( ! [F: a > c > c] :
( ~ ( finite40241358em_a_c @ F )
| ! [X: a] :
( ( comp_c_c_c @ ( F @ X ) @ ( F @ X ) )
= ( F @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[446]) ).
thf(476,plain,
( ( ! [F: a > c > c] :
( ~ ( finite40241358em_a_c @ F )
| ! [X: a,Z: c] :
( ( F @ X @ ( F @ X @ Z ) )
= ( F @ X @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[445]) ).
thf(477,plain,
( ( ! [F: a > c > c] :
( ~ ( finite40241358em_a_c @ F )
| ! [G: b > a] : ( finite868010765em_b_c @ ( comp_a_c_c_b @ F @ G ) ) ) )
= $true ),
inference(copy,[status(thm)],[444]) ).
thf(478,plain,
( ( ! [F: a > c > c] :
( ~ ( finite40241358em_a_c @ F )
| ! [G: a > a] : ( finite40241358em_a_c @ ( comp_a_c_c_a @ F @ G ) ) ) )
= $true ),
inference(copy,[status(thm)],[443]) ).
thf(479,plain,
( ( comp_a_c_c_b
= ( ^ [F2: a > c > c,G2: b > a,X3: b] : ( F2 @ ( G2 @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(480,plain,
( ( comp_a_c_c_a
= ( ^ [F2: a > c > c,G2: a > a,X3: a] : ( F2 @ ( G2 @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(481,plain,
( ( ! [F: a > c > c] :
( ~ ( finite40241358em_a_c @ F )
| ( finite19304177ms_a_c @ F ) ) )
= $true ),
inference(copy,[status(thm)],[442]) ).
thf(482,plain,
( ( ! [F: a > c > c] :
( ( ( comp_c_c_c @ ( F @ ( sK1_X2 @ F ) ) @ ( F @ ( sK1_X2 @ F ) ) )
!= ( F @ ( sK1_X2 @ F ) ) )
| ( finite19304177ms_a_c @ F ) ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(483,plain,
( ( finite19304177ms_a_c
= ( ^ [F2: a > c > c] :
! [X3: a] :
( ( comp_c_c_c @ ( F2 @ X3 ) @ ( F2 @ X3 ) )
= ( F2 @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(484,plain,
( ( ! [G: a > a,H: a > a,R12: a > a,R22: a > a] :
( ( ( comp_a_a_a @ G @ H )
!= ( comp_a_a_a @ R12 @ R22 ) )
| ! [F: a > c > c,L: a > c > c] :
( ( ( comp_a_c_c_a @ F @ R12 )
!= L )
| ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ G ) @ H )
= ( comp_a_c_c_a @ L @ R22 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(485,plain,
( ( ! [G: a > c > c,H: a > a,R12: a > c > c,R22: a > a] :
( ( ( comp_a_c_c_a @ G @ H )
!= ( comp_a_c_c_a @ R12 @ R22 ) )
| ! [F: ( c > c ) > c > c,L: a > c > c] :
( ( ( comp_c_c_c_c_a @ F @ R12 )
!= L )
| ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ F @ G ) @ H )
= ( comp_a_c_c_a @ L @ R22 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(486,plain,
( ( ! [G: a > a,H: b > a,R12: a > a,R22: b > a] :
( ( ( comp_a_a_b @ G @ H )
!= ( comp_a_a_b @ R12 @ R22 ) )
| ! [F: a > c > c,L: a > c > c] :
( ( ( comp_a_c_c_a @ F @ R12 )
!= L )
| ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ F @ G ) @ H )
= ( comp_a_c_c_b @ L @ R22 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(487,plain,
( ( ! [F: a > c > c,G: a > a,L1: a > c > c,L2: a > a] :
( ( ( comp_a_c_c_a @ F @ G )
!= ( comp_a_c_c_a @ L1 @ L2 ) )
| ! [H: a > a,R4: a > a] :
( ( ( comp_a_a_a @ L2 @ H )
!= R4 )
| ( ( comp_a_c_c_a @ F @ ( comp_a_a_a @ G @ H ) )
= ( comp_a_c_c_a @ L1 @ R4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(488,plain,
( ( ! [G: a > a,H: a > a,R4: a > a] :
( ( ( comp_a_a_a @ G @ H )
!= R4 )
| ! [F: a > c > c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ G ) @ H )
= ( comp_a_c_c_a @ F @ R4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(489,plain,
( ( ! [G: a > c > c,H: a > a,R4: a > c > c] :
( ( ( comp_a_c_c_a @ G @ H )
!= R4 )
| ! [F: ( c > c ) > c > c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ F @ G ) @ H )
= ( comp_c_c_c_c_a @ F @ R4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(490,plain,
( ( ! [F: a > c > c,G: a > a,L: a > c > c] :
( ( ( comp_a_c_c_a @ F @ G )
!= L )
| ! [H: a > a] :
( ( comp_a_c_c_a @ F @ ( comp_a_a_a @ G @ H ) )
= ( comp_a_c_c_a @ L @ H ) ) ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(491,plain,
( ( ! [F: ( c > c ) > c > c,G: a > c > c,L: a > c > c] :
( ( ( comp_c_c_c_c_a @ F @ G )
!= L )
| ! [H: a > a] :
( ( comp_c_c_c_c_a @ F @ ( comp_a_c_c_a @ G @ H ) )
= ( comp_a_c_c_a @ L @ H ) ) ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(492,plain,
( ( ! [F: a > c > c,G: a > a,L: a > c > c] :
( ( ( comp_a_c_c_a @ F @ G )
!= L )
| ! [H: b > a] :
( ( comp_a_c_c_b @ F @ ( comp_a_a_b @ G @ H ) )
= ( comp_a_c_c_b @ L @ H ) ) ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(493,plain,
( ( ! [G: a > c > c,F: a > a,V: a > a] :
( ( comp_a_c_c_a @ G @ ( comp_a_a_a @ F @ V ) )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ G @ F ) @ V ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(494,plain,
( ( ! [G: ( c > c ) > c > c,F: a > c > c,V: a > a] :
( ( comp_c_c_c_c_a @ G @ ( comp_a_c_c_a @ F @ V ) )
= ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ G @ F ) @ V ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(495,plain,
( ( ! [F: a > c > c,G: b > a,X: b,H: a > c > c,K: b > a] :
( ( ( F @ ( G @ X ) )
!= ( H @ ( K @ X ) ) )
| ( ( comp_a_c_c_b @ F @ G @ X )
= ( comp_a_c_c_b @ H @ K @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(496,plain,
( ( ! [F: a > c > c,G: a > a,X: a,H: a > c > c,K: a > a] :
( ( ( F @ ( G @ X ) )
!= ( H @ ( K @ X ) ) )
| ( ( comp_a_c_c_a @ F @ G @ X )
= ( comp_a_c_c_a @ H @ K @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(497,plain,
( ( ! [A3: a > c > c,B3: b > a,C2: b > c > c] :
( ( ( comp_a_c_c_b @ A3 @ B3 )
!= C2 )
| ! [V: b] :
( ( A3 @ ( B3 @ V ) )
= ( C2 @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(498,plain,
( ( ! [A3: a > c > c,B3: a > a,C2: a > c > c] :
( ( ( comp_a_c_c_a @ A3 @ B3 )
!= C2 )
| ! [V: a] :
( ( A3 @ ( B3 @ V ) )
= ( C2 @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(499,plain,
( ( ! [A3: a > c > c,B3: b > a,C2: a > c > c,D: b > a] :
( ( ( comp_a_c_c_b @ A3 @ B3 )
!= ( comp_a_c_c_b @ C2 @ D ) )
| ! [V2: b] :
( ( A3 @ ( B3 @ V2 ) )
= ( C2 @ ( D @ V2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(500,plain,
( ( ! [A3: a > c > c,B3: a > a,C2: a > c > c,D: a > a] :
( ( ( comp_a_c_c_a @ A3 @ B3 )
!= ( comp_a_c_c_a @ C2 @ D ) )
| ! [V2: a] :
( ( A3 @ ( B3 @ V2 ) )
= ( C2 @ ( D @ V2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(501,plain,
( ( ! [A3: a > c > c,B3: b > a,C2: a > c > c,D: b > a] :
( ( ( comp_a_c_c_b @ A3 @ B3 )
!= ( comp_a_c_c_b @ C2 @ D ) )
| ! [V: b] :
( ( A3 @ ( B3 @ V ) )
= ( C2 @ ( D @ V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(502,plain,
( ( ! [A3: a > c > c,B3: a > a,C2: a > c > c,D: a > a] :
( ( ( comp_a_c_c_a @ A3 @ B3 )
!= ( comp_a_c_c_a @ C2 @ D ) )
| ! [V: a] :
( ( A3 @ ( B3 @ V ) )
= ( C2 @ ( D @ V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(503,plain,
( ( ! [F: a > c > c,G: a > a,H: a > a] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ G ) @ H )
= ( comp_a_c_c_a @ F @ ( comp_a_a_a @ G @ H ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(504,plain,
( ( ! [F: ( c > c ) > c > c,G: a > c > c,H: a > a] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ F @ G ) @ H )
= ( comp_c_c_c_c_a @ F @ ( comp_a_c_c_a @ G @ H ) ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(505,plain,
( ( comp_a_c_c_b
= ( ^ [F2: a > c > c,G2: b > a,X3: b] : ( F2 @ ( G2 @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(506,plain,
( ( comp_a_c_c_a
= ( ^ [F2: a > c > c,G2: a > a,X3: a] : ( F2 @ ( G2 @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(507,plain,
( ( ! [M: a > a,G: b > a,X: b,N: a > a,H: b > a] :
( ( ( M @ ( G @ X ) )
!= ( N @ ( H @ X ) ) )
| ! [F: a > c > c] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ F @ M ) @ G @ X )
= ( comp_a_c_c_b @ ( comp_a_c_c_a @ F @ N ) @ H @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(508,plain,
( ( ! [M: a > a,G: a > a,X: a,N: a > a,H: a > a] :
( ( ( M @ ( G @ X ) )
!= ( N @ ( H @ X ) ) )
| ! [F: a > c > c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ M ) @ G @ X )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ F @ N ) @ H @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(509,plain,
( ( ! [G: a > c > c,F: a > c > c] :
( ( ! [X3: a] :
? [Y3: a] :
( ( G @ Y3 )
= ( F @ X3 ) ) )
= ( ? [H2: a > a] :
( F
= ( comp_a_c_c_a @ G @ H2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(510,plain,
( ( ! [G: a > a,F: a > c > c] :
( ( ! [X3: a,Y3: a] :
( ( ( G @ X3 )
= ( G @ Y3 ) )
=> ( ( F @ X3 )
= ( F @ Y3 ) ) ) )
= ( ? [H2: a > c > c] :
( F
= ( comp_a_c_c_a @ H2 @ G ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(511,plain,
( ( ! [F: a > c > c,G: a > a,X: a,F3: a > c > c,G3: a > a,X5: a] :
( ( ( F @ ( G @ X ) )
!= ( F3 @ ( G3 @ X5 ) ) )
| ( ( comp_a_c_c_a @ F @ G @ X )
= ( comp_a_c_c_a @ F3 @ G3 @ X5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(512,plain,
( ( map_fun_a_a_a_c_c
= ( ^ [F2: a > a,G2: a > c > c,H2: a > a] : ( comp_a_c_c_a @ ( comp_a_c_c_a @ G2 @ H2 ) @ F2 ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(513,plain,
( ( ~ ( finite746615251te_a_c @ f1 ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(514,plain,
( ( ! [SX0: a > a,SX1: a > c > c] :
( ( ! [SX2: a,SX3: a] :
( ( ( SX0 @ SX2 )
!= ( SX0 @ SX3 ) )
| ( ( SX1 @ SX2 )
= ( SX1 @ SX3 ) ) ) )
= ( ~ ! [SX2: a > c > c] :
( SX1
!= ( comp_a_c_c_a @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[510]) ).
thf(515,plain,
( ( finite40241358em_a_c
= ( ^ [SX0: a > c > c] :
~ ( ~ ( finite19304177ms_a_c @ SX0 )
| ~ ( finite746615251te_a_c @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[473]) ).
thf(516,plain,
( ( ! [SX0: a > c > c,SX1: a > c > c] :
( ( ! [SX2: a] :
~ ! [SX3: a] :
( ( SX0 @ SX3 )
!= ( SX1 @ SX2 ) ) )
= ( ~ ! [SX2: a > a] :
( SX1
!= ( comp_a_c_c_a @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[509]) ).
thf(517,plain,
! [SV1: a > c > c] :
( ( ! [SY197: a] :
( ~ ( finite746615251te_a_c @ SV1 )
| ! [SY198: a,SY199: c] :
( ( SV1 @ SY197 @ ( SV1 @ SY198 @ SY199 ) )
= ( SV1 @ SY198 @ ( SV1 @ SY197 @ SY199 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(518,plain,
! [SV2: a > c > c] :
( ( ! [SY200: a > c > c,SY201: c > c] :
( ~ ( finite746615251te_a_c @ SV2 )
| ~ ( finite746615251te_a_c @ SY200 )
| ( ( SY201 @ ( SY200 @ ( sK4_X2 @ SY201 @ SY200 @ SV2 ) @ ( sK5_SY196 @ SY201 @ SY200 @ SV2 ) ) )
!= ( SV2 @ ( sK4_X2 @ SY201 @ SY200 @ SV2 ) @ ( SY201 @ ( sK5_SY196 @ SY201 @ SY200 @ SV2 ) ) ) )
| ! [SY202: c,SY203: multiset_a] :
( ( SY201 @ ( fold_mset_a_c @ SY200 @ SY202 @ SY203 ) )
= ( fold_mset_a_c @ SV2 @ ( SY201 @ SY202 ) @ SY203 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(519,plain,
! [SV3: a > c > c] :
( ( ! [SY204: a] :
( ~ ( finite746615251te_a_c @ SV3 )
| ! [SY205: c,SY206: multiset_a] :
( ( SV3 @ SY204 @ ( fold_mset_a_c @ SV3 @ SY205 @ SY206 ) )
= ( fold_mset_a_c @ SV3 @ ( SV3 @ SY204 @ SY205 ) @ SY206 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(520,plain,
! [SV4: a > c > c] :
( ( ~ ( finite40241358em_a_c @ SV4 )
| ( finite746615251te_a_c @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(521,plain,
! [SV5: a > c > c] :
( ( ! [SY207: c,SY208: set_a] :
( ~ ( finite746615251te_a_c @ SV5 )
| ! [SY209: c] :
( ~ ( finite1511629768ph_a_c @ SV5 @ SY207 @ SY208 @ SY209 )
| ! [SY210: c] :
( ~ ( finite1511629768ph_a_c @ SV5 @ SY207 @ SY208 @ SY210 )
| ( SY210 = SY209 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(522,plain,
! [SV6: a > c > c] :
( ( ! [SY211: a] :
( ~ ( finite746615251te_a_c @ SV6 )
| ! [SY212: c,SY213: fset_a] :
( ( SV6 @ SY211 @ ( ffold_a_c @ SV6 @ SY212 @ SY213 ) )
= ( ffold_a_c @ SV6 @ ( SV6 @ SY211 @ SY212 ) @ SY213 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(523,plain,
! [SV7: a > c > c] :
( ( ~ ( finite746615251te_a_c @ SV7 )
| ! [SY214: b > a] : ( finite1574384658te_b_c @ ( comp_a_c_c_b @ SV7 @ SY214 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(524,plain,
! [SV8: a > c > c] :
( ( ~ ( finite746615251te_a_c @ SV8 )
| ! [SY215: a > a] : ( finite746615251te_a_c @ ( comp_a_c_c_a @ SV8 @ SY215 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(525,plain,
( ( ! [SV9: a > c > c] :
( ( finite746615251te_a_c @ SV9 )
= ( ! [SY216: a,SY217: a] :
( ( comp_c_c_c @ ( SV9 @ SY216 ) @ ( SV9 @ SY217 ) )
= ( comp_c_c_c @ ( SV9 @ SY217 ) @ ( SV9 @ SY216 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[469]) ).
thf(526,plain,
( ( finite746615251te_a_c
= ( ^ [F2: a > c > c] :
! [Y3: a,X3: a] :
( ( comp_c_c_c @ ( F2 @ Y3 ) @ ( F2 @ X3 ) )
= ( comp_c_c_c @ ( F2 @ X3 ) @ ( F2 @ Y3 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[469]) ).
thf(527,plain,
! [SV10: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV10 @ ( sK2_Y2 @ SV10 ) ) @ ( SV10 @ ( sK3_SY195 @ SV10 ) ) )
!= ( comp_c_c_c @ ( SV10 @ ( sK3_SY195 @ SV10 ) ) @ ( SV10 @ ( sK2_Y2 @ SV10 ) ) ) )
| ( finite746615251te_a_c @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(528,plain,
! [SV11: a > c > c] :
( ( ~ ( finite746615251te_a_c @ SV11 )
| ! [SY218: a,SY219: a] :
( ( comp_c_c_c @ ( SV11 @ SY218 ) @ ( SV11 @ SY219 ) )
= ( comp_c_c_c @ ( SV11 @ SY219 ) @ ( SV11 @ SY218 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(529,plain,
! [SV12: a > c > c] :
( ( ~ ( finite746615251te_a_c @ SV12 )
| ~ ( finite19304177ms_a_c @ SV12 )
| ( finite40241358em_a_c @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(530,plain,
! [SV13: a > c > c] :
( ( ! [SY220: c] :
( ~ ( finite746615251te_a_c @ SV13 )
| ! [SY221: multiset_a,SY222: multiset_a] :
( ( fold_mset_a_c @ SV13 @ SY220 @ ( plus_plus_multiset_a @ SY221 @ SY222 ) )
= ( fold_mset_a_c @ SV13 @ ( fold_mset_a_c @ SV13 @ SY220 @ SY221 ) @ SY222 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(531,plain,
! [SV14: a > c > c] :
( ( ~ ( finite40241358em_a_c @ SV14 )
| ! [SY223: a] :
( ( comp_c_c_c @ ( SV14 @ SY223 ) @ ( SV14 @ SY223 ) )
= ( SV14 @ SY223 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(532,plain,
! [SV15: a > c > c] :
( ( ~ ( finite40241358em_a_c @ SV15 )
| ! [SY224: a,SY225: c] :
( ( SV15 @ SY224 @ ( SV15 @ SY224 @ SY225 ) )
= ( SV15 @ SY224 @ SY225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(533,plain,
! [SV16: a > c > c] :
( ( ~ ( finite40241358em_a_c @ SV16 )
| ! [SY226: b > a] : ( finite868010765em_b_c @ ( comp_a_c_c_b @ SV16 @ SY226 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(534,plain,
! [SV17: a > c > c] :
( ( ~ ( finite40241358em_a_c @ SV17 )
| ! [SY227: a > a] : ( finite40241358em_a_c @ ( comp_a_c_c_a @ SV17 @ SY227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(535,plain,
( ( ! [SV18: a > c > c] :
( ( comp_a_c_c_b @ SV18 )
= ( ^ [SY228: b > a,SY229: b] : ( SV18 @ ( SY228 @ SY229 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[479]) ).
thf(536,plain,
( ( comp_a_c_c_b
= ( ^ [F2: a > c > c,G2: b > a,X3: b] : ( F2 @ ( G2 @ X3 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[479]) ).
thf(537,plain,
( ( ! [SV19: a > c > c] :
( ( comp_a_c_c_a @ SV19 )
= ( ^ [SY230: a > a,SY231: a] : ( SV19 @ ( SY230 @ SY231 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[480]) ).
thf(538,plain,
( ( comp_a_c_c_a
= ( ^ [F2: a > c > c,G2: a > a,X3: a] : ( F2 @ ( G2 @ X3 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[480]) ).
thf(539,plain,
! [SV20: a > c > c] :
( ( ~ ( finite40241358em_a_c @ SV20 )
| ( finite19304177ms_a_c @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(540,plain,
! [SV21: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV21 @ ( sK1_X2 @ SV21 ) ) @ ( SV21 @ ( sK1_X2 @ SV21 ) ) )
!= ( SV21 @ ( sK1_X2 @ SV21 ) ) )
| ( finite19304177ms_a_c @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(541,plain,
( ( ! [SV22: a > c > c] :
( ( finite19304177ms_a_c @ SV22 )
= ( ! [SY232: a] :
( ( comp_c_c_c @ ( SV22 @ SY232 ) @ ( SV22 @ SY232 ) )
= ( SV22 @ SY232 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[483]) ).
thf(542,plain,
( ( finite19304177ms_a_c
= ( ^ [F2: a > c > c] :
! [X3: a] :
( ( comp_c_c_c @ ( F2 @ X3 ) @ ( F2 @ X3 ) )
= ( F2 @ X3 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[483]) ).
thf(543,plain,
! [SV23: a > a] :
( ( ! [SY233: a > a,SY234: a > a,SY235: a > a] :
( ( ( comp_a_a_a @ SV23 @ SY233 )
!= ( comp_a_a_a @ SY234 @ SY235 ) )
| ! [SY236: a > c > c,SY237: a > c > c] :
( ( ( comp_a_c_c_a @ SY236 @ SY234 )
!= SY237 )
| ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY236 @ SV23 ) @ SY233 )
= ( comp_a_c_c_a @ SY237 @ SY235 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(544,plain,
! [SV24: a > c > c] :
( ( ! [SY238: a > a,SY239: a > c > c,SY240: a > a] :
( ( ( comp_a_c_c_a @ SV24 @ SY238 )
!= ( comp_a_c_c_a @ SY239 @ SY240 ) )
| ! [SY241: ( c > c ) > c > c,SY242: a > c > c] :
( ( ( comp_c_c_c_c_a @ SY241 @ SY239 )
!= SY242 )
| ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY241 @ SV24 ) @ SY238 )
= ( comp_a_c_c_a @ SY242 @ SY240 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(545,plain,
! [SV25: a > a] :
( ( ! [SY243: b > a,SY244: a > a,SY245: b > a] :
( ( ( comp_a_a_b @ SV25 @ SY243 )
!= ( comp_a_a_b @ SY244 @ SY245 ) )
| ! [SY246: a > c > c,SY247: a > c > c] :
( ( ( comp_a_c_c_a @ SY246 @ SY244 )
!= SY247 )
| ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY246 @ SV25 ) @ SY243 )
= ( comp_a_c_c_b @ SY247 @ SY245 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(546,plain,
! [SV26: a > c > c] :
( ( ! [SY248: a > a,SY249: a > c > c,SY250: a > a] :
( ( ( comp_a_c_c_a @ SV26 @ SY248 )
!= ( comp_a_c_c_a @ SY249 @ SY250 ) )
| ! [SY251: a > a,SY252: a > a] :
( ( ( comp_a_a_a @ SY250 @ SY251 )
!= SY252 )
| ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SY248 @ SY251 ) )
= ( comp_a_c_c_a @ SY249 @ SY252 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(547,plain,
! [SV27: a > a] :
( ( ! [SY253: a > a,SY254: a > a] :
( ( ( comp_a_a_a @ SV27 @ SY253 )
!= SY254 )
| ! [SY255: a > c > c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY255 @ SV27 ) @ SY253 )
= ( comp_a_c_c_a @ SY255 @ SY254 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(548,plain,
! [SV28: a > c > c] :
( ( ! [SY256: a > a,SY257: a > c > c] :
( ( ( comp_a_c_c_a @ SV28 @ SY256 )
!= SY257 )
| ! [SY258: ( c > c ) > c > c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY258 @ SV28 ) @ SY256 )
= ( comp_c_c_c_c_a @ SY258 @ SY257 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(549,plain,
! [SV29: a > c > c] :
( ( ! [SY259: a > a,SY260: a > c > c] :
( ( ( comp_a_c_c_a @ SV29 @ SY259 )
!= SY260 )
| ! [SY261: a > a] :
( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SY259 @ SY261 ) )
= ( comp_a_c_c_a @ SY260 @ SY261 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(550,plain,
! [SV30: ( c > c ) > c > c] :
( ( ! [SY262: a > c > c,SY263: a > c > c] :
( ( ( comp_c_c_c_c_a @ SV30 @ SY262 )
!= SY263 )
| ! [SY264: a > a] :
( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SY262 @ SY264 ) )
= ( comp_a_c_c_a @ SY263 @ SY264 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(551,plain,
! [SV31: a > c > c] :
( ( ! [SY265: a > a,SY266: a > c > c] :
( ( ( comp_a_c_c_a @ SV31 @ SY265 )
!= SY266 )
| ! [SY267: b > a] :
( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SY265 @ SY267 ) )
= ( comp_a_c_c_b @ SY266 @ SY267 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(552,plain,
! [SV32: a > c > c] :
( ( ! [SY268: a > a,SY269: a > a] :
( ( comp_a_c_c_a @ SV32 @ ( comp_a_a_a @ SY268 @ SY269 ) )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV32 @ SY268 ) @ SY269 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(553,plain,
! [SV33: ( c > c ) > c > c] :
( ( ! [SY270: a > c > c,SY271: a > a] :
( ( comp_c_c_c_c_a @ SV33 @ ( comp_a_c_c_a @ SY270 @ SY271 ) )
= ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV33 @ SY270 ) @ SY271 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(554,plain,
! [SV34: a > c > c] :
( ( ! [SY272: b > a,SY273: b,SY274: a > c > c,SY275: b > a] :
( ( ( SV34 @ ( SY272 @ SY273 ) )
!= ( SY274 @ ( SY275 @ SY273 ) ) )
| ( ( comp_a_c_c_b @ SV34 @ SY272 @ SY273 )
= ( comp_a_c_c_b @ SY274 @ SY275 @ SY273 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(555,plain,
! [SV35: a > c > c] :
( ( ! [SY276: a > a,SY277: a,SY278: a > c > c,SY279: a > a] :
( ( ( SV35 @ ( SY276 @ SY277 ) )
!= ( SY278 @ ( SY279 @ SY277 ) ) )
| ( ( comp_a_c_c_a @ SV35 @ SY276 @ SY277 )
= ( comp_a_c_c_a @ SY278 @ SY279 @ SY277 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(556,plain,
! [SV36: a > c > c] :
( ( ! [SY280: b > a,SY281: b > c > c] :
( ( ( comp_a_c_c_b @ SV36 @ SY280 )
!= SY281 )
| ! [SY282: b] :
( ( SV36 @ ( SY280 @ SY282 ) )
= ( SY281 @ SY282 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(557,plain,
! [SV37: a > c > c] :
( ( ! [SY283: a > a,SY284: a > c > c] :
( ( ( comp_a_c_c_a @ SV37 @ SY283 )
!= SY284 )
| ! [SY285: a] :
( ( SV37 @ ( SY283 @ SY285 ) )
= ( SY284 @ SY285 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(558,plain,
! [SV38: a > c > c] :
( ( ! [SY286: b > a,SY287: a > c > c,SY288: b > a] :
( ( ( comp_a_c_c_b @ SV38 @ SY286 )
!= ( comp_a_c_c_b @ SY287 @ SY288 ) )
| ! [SY289: b] :
( ( SV38 @ ( SY286 @ SY289 ) )
= ( SY287 @ ( SY288 @ SY289 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(559,plain,
! [SV39: a > c > c] :
( ( ! [SY290: a > a,SY291: a > c > c,SY292: a > a] :
( ( ( comp_a_c_c_a @ SV39 @ SY290 )
!= ( comp_a_c_c_a @ SY291 @ SY292 ) )
| ! [SY293: a] :
( ( SV39 @ ( SY290 @ SY293 ) )
= ( SY291 @ ( SY292 @ SY293 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(560,plain,
! [SV40: a > c > c] :
( ( ! [SY294: b > a,SY295: a > c > c,SY296: b > a] :
( ( ( comp_a_c_c_b @ SV40 @ SY294 )
!= ( comp_a_c_c_b @ SY295 @ SY296 ) )
| ! [SY297: b] :
( ( SV40 @ ( SY294 @ SY297 ) )
= ( SY295 @ ( SY296 @ SY297 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(561,plain,
! [SV41: a > c > c] :
( ( ! [SY298: a > a,SY299: a > c > c,SY300: a > a] :
( ( ( comp_a_c_c_a @ SV41 @ SY298 )
!= ( comp_a_c_c_a @ SY299 @ SY300 ) )
| ! [SY301: a] :
( ( SV41 @ ( SY298 @ SY301 ) )
= ( SY299 @ ( SY300 @ SY301 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(562,plain,
! [SV42: a > c > c] :
( ( ! [SY302: a > a,SY303: a > a] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV42 @ SY302 ) @ SY303 )
= ( comp_a_c_c_a @ SV42 @ ( comp_a_a_a @ SY302 @ SY303 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(563,plain,
! [SV43: ( c > c ) > c > c] :
( ( ! [SY304: a > c > c,SY305: a > a] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV43 @ SY304 ) @ SY305 )
= ( comp_c_c_c_c_a @ SV43 @ ( comp_a_c_c_a @ SY304 @ SY305 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(564,plain,
( ( ! [SV44: a > c > c] :
( ( comp_a_c_c_b @ SV44 )
= ( ^ [SY306: b > a,SY307: b] : ( SV44 @ ( SY306 @ SY307 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[505]) ).
thf(565,plain,
( ( comp_a_c_c_b
= ( ^ [F2: a > c > c,G2: b > a,X3: b] : ( F2 @ ( G2 @ X3 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[505]) ).
thf(566,plain,
( ( ! [SV45: a > c > c] :
( ( comp_a_c_c_a @ SV45 )
= ( ^ [SY308: a > a,SY309: a] : ( SV45 @ ( SY308 @ SY309 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[506]) ).
thf(567,plain,
( ( comp_a_c_c_a
= ( ^ [F2: a > c > c,G2: a > a,X3: a] : ( F2 @ ( G2 @ X3 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[506]) ).
thf(568,plain,
! [SV46: a > a] :
( ( ! [SY310: b > a,SY311: b,SY312: a > a,SY313: b > a] :
( ( ( SV46 @ ( SY310 @ SY311 ) )
!= ( SY312 @ ( SY313 @ SY311 ) ) )
| ! [SY314: a > c > c] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY314 @ SV46 ) @ SY310 @ SY311 )
= ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY314 @ SY312 ) @ SY313 @ SY311 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(569,plain,
! [SV47: a > a] :
( ( ! [SY315: a > a,SY316: a,SY317: a > a,SY318: a > a] :
( ( ( SV47 @ ( SY315 @ SY316 ) )
!= ( SY317 @ ( SY318 @ SY316 ) ) )
| ! [SY319: a > c > c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY319 @ SV47 ) @ SY315 @ SY316 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY319 @ SY317 ) @ SY318 @ SY316 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(570,plain,
! [SV48: a > c > c] :
( ( ! [SY320: a > a,SY321: a,SY322: a > c > c,SY323: a > a,SY324: a] :
( ( ( SV48 @ ( SY320 @ SY321 ) )
!= ( SY322 @ ( SY323 @ SY324 ) ) )
| ( ( comp_a_c_c_a @ SV48 @ SY320 @ SY321 )
= ( comp_a_c_c_a @ SY322 @ SY323 @ SY324 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(571,plain,
( ( ! [SV49: a > a] :
( ( map_fun_a_a_a_c_c @ SV49 )
= ( ^ [SY325: a > c > c,SY326: a > a] : ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY325 @ SY326 ) @ SV49 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[512]) ).
thf(572,plain,
( ( map_fun_a_a_a_c_c
= ( ^ [F2: a > a,G2: a > c > c,H2: a > a] : ( comp_a_c_c_a @ ( comp_a_c_c_a @ G2 @ H2 ) @ F2 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[512]) ).
thf(573,plain,
( ( finite746615251te_a_c @ f1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(574,plain,
! [SV50: a > a] :
( ( ! [SY327: a > c > c] :
( ( ! [SY328: a,SY329: a] :
( ( ( SV50 @ SY328 )
!= ( SV50 @ SY329 ) )
| ( ( SY327 @ SY328 )
= ( SY327 @ SY329 ) ) ) )
= ( ~ ! [SY330: a > c > c] :
( SY327
!= ( comp_a_c_c_a @ SY330 @ SV50 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(575,plain,
( ( ! [SV51: a > c > c] :
( ( finite40241358em_a_c @ SV51 )
= ( ~ ( ~ ( finite19304177ms_a_c @ SV51 )
| ~ ( finite746615251te_a_c @ SV51 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[515]) ).
thf(576,plain,
( ( finite40241358em_a_c
= ( ^ [SX0: a > c > c] :
~ ( ~ ( finite19304177ms_a_c @ SX0 )
| ~ ( finite746615251te_a_c @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[515]) ).
thf(577,plain,
! [SV52: a > c > c] :
( ( ! [SY331: a > c > c] :
( ( ! [SY332: a] :
~ ! [SY333: a] :
( ( SV52 @ SY333 )
!= ( SY331 @ SY332 ) ) )
= ( ~ ! [SY334: a > a] :
( SY331
!= ( comp_a_c_c_a @ SV52 @ SY334 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(578,plain,
! [SV53: a,SV1: a > c > c] :
( ( ~ ( finite746615251te_a_c @ SV1 )
| ! [SY335: a,SY336: c] :
( ( SV1 @ SV53 @ ( SV1 @ SY335 @ SY336 ) )
= ( SV1 @ SY335 @ ( SV1 @ SV53 @ SY336 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(579,plain,
! [SV54: a > c > c,SV2: a > c > c] :
( ( ! [SY337: c > c] :
( ~ ( finite746615251te_a_c @ SV2 )
| ~ ( finite746615251te_a_c @ SV54 )
| ( ( SY337 @ ( SV54 @ ( sK4_X2 @ SY337 @ SV54 @ SV2 ) @ ( sK5_SY196 @ SY337 @ SV54 @ SV2 ) ) )
!= ( SV2 @ ( sK4_X2 @ SY337 @ SV54 @ SV2 ) @ ( SY337 @ ( sK5_SY196 @ SY337 @ SV54 @ SV2 ) ) ) )
| ! [SY338: c,SY339: multiset_a] :
( ( SY337 @ ( fold_mset_a_c @ SV54 @ SY338 @ SY339 ) )
= ( fold_mset_a_c @ SV2 @ ( SY337 @ SY338 ) @ SY339 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(580,plain,
! [SV55: a,SV3: a > c > c] :
( ( ~ ( finite746615251te_a_c @ SV3 )
| ! [SY340: c,SY341: multiset_a] :
( ( SV3 @ SV55 @ ( fold_mset_a_c @ SV3 @ SY340 @ SY341 ) )
= ( fold_mset_a_c @ SV3 @ ( SV3 @ SV55 @ SY340 ) @ SY341 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(581,plain,
! [SV4: a > c > c] :
( ( ( ~ ( finite40241358em_a_c @ SV4 ) )
= $true )
| ( ( finite746615251te_a_c @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(582,plain,
! [SV56: c,SV5: a > c > c] :
( ( ! [SY342: set_a] :
( ~ ( finite746615251te_a_c @ SV5 )
| ! [SY343: c] :
( ~ ( finite1511629768ph_a_c @ SV5 @ SV56 @ SY342 @ SY343 )
| ! [SY344: c] :
( ~ ( finite1511629768ph_a_c @ SV5 @ SV56 @ SY342 @ SY344 )
| ( SY344 = SY343 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(583,plain,
! [SV57: a,SV6: a > c > c] :
( ( ~ ( finite746615251te_a_c @ SV6 )
| ! [SY345: c,SY346: fset_a] :
( ( SV6 @ SV57 @ ( ffold_a_c @ SV6 @ SY345 @ SY346 ) )
= ( ffold_a_c @ SV6 @ ( SV6 @ SV57 @ SY345 ) @ SY346 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(584,plain,
! [SV7: a > c > c] :
( ( ( ~ ( finite746615251te_a_c @ SV7 ) )
= $true )
| ( ( ! [SY214: b > a] : ( finite1574384658te_b_c @ ( comp_a_c_c_b @ SV7 @ SY214 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[523]) ).
thf(585,plain,
! [SV8: a > c > c] :
( ( ( ~ ( finite746615251te_a_c @ SV8 ) )
= $true )
| ( ( ! [SY215: a > a] : ( finite746615251te_a_c @ ( comp_a_c_c_a @ SV8 @ SY215 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[524]) ).
thf(586,plain,
! [SV58: a > c > c] :
( ( ( finite746615251te_a_c @ SV58 )
= ( ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(587,plain,
! [SV10: a > c > c] :
( ( ( ( ( comp_c_c_c @ ( SV10 @ ( sK2_Y2 @ SV10 ) ) @ ( SV10 @ ( sK3_SY195 @ SV10 ) ) )
!= ( comp_c_c_c @ ( SV10 @ ( sK3_SY195 @ SV10 ) ) @ ( SV10 @ ( sK2_Y2 @ SV10 ) ) ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[527]) ).
thf(588,plain,
! [SV11: a > c > c] :
( ( ( ~ ( finite746615251te_a_c @ SV11 ) )
= $true )
| ( ( ! [SY218: a,SY219: a] :
( ( comp_c_c_c @ ( SV11 @ SY218 ) @ ( SV11 @ SY219 ) )
= ( comp_c_c_c @ ( SV11 @ SY219 ) @ ( SV11 @ SY218 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[528]) ).
thf(589,plain,
! [SV12: a > c > c] :
( ( ( ~ ( finite746615251te_a_c @ SV12 ) )
= $true )
| ( ( ~ ( finite19304177ms_a_c @ SV12 )
| ( finite40241358em_a_c @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[529]) ).
thf(590,plain,
! [SV59: c,SV13: a > c > c] :
( ( ~ ( finite746615251te_a_c @ SV13 )
| ! [SY349: multiset_a,SY350: multiset_a] :
( ( fold_mset_a_c @ SV13 @ SV59 @ ( plus_plus_multiset_a @ SY349 @ SY350 ) )
= ( fold_mset_a_c @ SV13 @ ( fold_mset_a_c @ SV13 @ SV59 @ SY349 ) @ SY350 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(591,plain,
! [SV14: a > c > c] :
( ( ( ~ ( finite40241358em_a_c @ SV14 ) )
= $true )
| ( ( ! [SY223: a] :
( ( comp_c_c_c @ ( SV14 @ SY223 ) @ ( SV14 @ SY223 ) )
= ( SV14 @ SY223 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[531]) ).
thf(592,plain,
! [SV15: a > c > c] :
( ( ( ~ ( finite40241358em_a_c @ SV15 ) )
= $true )
| ( ( ! [SY224: a,SY225: c] :
( ( SV15 @ SY224 @ ( SV15 @ SY224 @ SY225 ) )
= ( SV15 @ SY224 @ SY225 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[532]) ).
thf(593,plain,
! [SV16: a > c > c] :
( ( ( ~ ( finite40241358em_a_c @ SV16 ) )
= $true )
| ( ( ! [SY226: b > a] : ( finite868010765em_b_c @ ( comp_a_c_c_b @ SV16 @ SY226 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[533]) ).
thf(594,plain,
! [SV17: a > c > c] :
( ( ( ~ ( finite40241358em_a_c @ SV17 ) )
= $true )
| ( ( ! [SY227: a > a] : ( finite40241358em_a_c @ ( comp_a_c_c_a @ SV17 @ SY227 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(595,plain,
! [SV60: a > c > c] :
( ( ( comp_a_c_c_b @ SV60 )
= ( ^ [SY351: b > a,SY352: b] : ( SV60 @ ( SY351 @ SY352 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(596,plain,
! [SV61: a > c > c] :
( ( ( comp_a_c_c_a @ SV61 )
= ( ^ [SY353: a > a,SY354: a] : ( SV61 @ ( SY353 @ SY354 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(597,plain,
! [SV20: a > c > c] :
( ( ( ~ ( finite40241358em_a_c @ SV20 ) )
= $true )
| ( ( finite19304177ms_a_c @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[539]) ).
thf(598,plain,
! [SV21: a > c > c] :
( ( ( ( ( comp_c_c_c @ ( SV21 @ ( sK1_X2 @ SV21 ) ) @ ( SV21 @ ( sK1_X2 @ SV21 ) ) )
!= ( SV21 @ ( sK1_X2 @ SV21 ) ) ) )
= $true )
| ( ( finite19304177ms_a_c @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(599,plain,
! [SV62: a > c > c] :
( ( ( finite19304177ms_a_c @ SV62 )
= ( ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(600,plain,
! [SV63: a > a,SV23: a > a] :
( ( ! [SY356: a > a,SY357: a > a] :
( ( ( comp_a_a_a @ SV23 @ SV63 )
!= ( comp_a_a_a @ SY356 @ SY357 ) )
| ! [SY358: a > c > c,SY359: a > c > c] :
( ( ( comp_a_c_c_a @ SY358 @ SY356 )
!= SY359 )
| ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY358 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SY359 @ SY357 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(601,plain,
! [SV64: a > a,SV24: a > c > c] :
( ( ! [SY360: a > c > c,SY361: a > a] :
( ( ( comp_a_c_c_a @ SV24 @ SV64 )
!= ( comp_a_c_c_a @ SY360 @ SY361 ) )
| ! [SY362: ( c > c ) > c > c,SY363: a > c > c] :
( ( ( comp_c_c_c_c_a @ SY362 @ SY360 )
!= SY363 )
| ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY362 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SY363 @ SY361 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(602,plain,
! [SV65: b > a,SV25: a > a] :
( ( ! [SY364: a > a,SY365: b > a] :
( ( ( comp_a_a_b @ SV25 @ SV65 )
!= ( comp_a_a_b @ SY364 @ SY365 ) )
| ! [SY366: a > c > c,SY367: a > c > c] :
( ( ( comp_a_c_c_a @ SY366 @ SY364 )
!= SY367 )
| ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY366 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SY367 @ SY365 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(603,plain,
! [SV66: a > a,SV26: a > c > c] :
( ( ! [SY368: a > c > c,SY369: a > a] :
( ( ( comp_a_c_c_a @ SV26 @ SV66 )
!= ( comp_a_c_c_a @ SY368 @ SY369 ) )
| ! [SY370: a > a,SY371: a > a] :
( ( ( comp_a_a_a @ SY369 @ SY370 )
!= SY371 )
| ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SY370 ) )
= ( comp_a_c_c_a @ SY368 @ SY371 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(604,plain,
! [SV67: a > a,SV27: a > a] :
( ( ! [SY372: a > a] :
( ( ( comp_a_a_a @ SV27 @ SV67 )
!= SY372 )
| ! [SY373: a > c > c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY373 @ SV27 ) @ SV67 )
= ( comp_a_c_c_a @ SY373 @ SY372 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(605,plain,
! [SV68: a > a,SV28: a > c > c] :
( ( ! [SY374: a > c > c] :
( ( ( comp_a_c_c_a @ SV28 @ SV68 )
!= SY374 )
| ! [SY375: ( c > c ) > c > c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY375 @ SV28 ) @ SV68 )
= ( comp_c_c_c_c_a @ SY375 @ SY374 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(606,plain,
! [SV69: a > a,SV29: a > c > c] :
( ( ! [SY376: a > c > c] :
( ( ( comp_a_c_c_a @ SV29 @ SV69 )
!= SY376 )
| ! [SY377: a > a] :
( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SY377 ) )
= ( comp_a_c_c_a @ SY376 @ SY377 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(607,plain,
! [SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ! [SY378: a > c > c] :
( ( ( comp_c_c_c_c_a @ SV30 @ SV70 )
!= SY378 )
| ! [SY379: a > a] :
( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SY379 ) )
= ( comp_a_c_c_a @ SY378 @ SY379 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(608,plain,
! [SV71: a > a,SV31: a > c > c] :
( ( ! [SY380: a > c > c] :
( ( ( comp_a_c_c_a @ SV31 @ SV71 )
!= SY380 )
| ! [SY381: b > a] :
( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SY381 ) )
= ( comp_a_c_c_b @ SY380 @ SY381 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(609,plain,
! [SV72: a > a,SV32: a > c > c] :
( ( ! [SY382: a > a] :
( ( comp_a_c_c_a @ SV32 @ ( comp_a_a_a @ SV72 @ SY382 ) )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV32 @ SV72 ) @ SY382 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(610,plain,
! [SV73: a > c > c,SV33: ( c > c ) > c > c] :
( ( ! [SY383: a > a] :
( ( comp_c_c_c_c_a @ SV33 @ ( comp_a_c_c_a @ SV73 @ SY383 ) )
= ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV33 @ SV73 ) @ SY383 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(611,plain,
! [SV74: b > a,SV34: a > c > c] :
( ( ! [SY384: b,SY385: a > c > c,SY386: b > a] :
( ( ( SV34 @ ( SV74 @ SY384 ) )
!= ( SY385 @ ( SY386 @ SY384 ) ) )
| ( ( comp_a_c_c_b @ SV34 @ SV74 @ SY384 )
= ( comp_a_c_c_b @ SY385 @ SY386 @ SY384 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(612,plain,
! [SV75: a > a,SV35: a > c > c] :
( ( ! [SY387: a,SY388: a > c > c,SY389: a > a] :
( ( ( SV35 @ ( SV75 @ SY387 ) )
!= ( SY388 @ ( SY389 @ SY387 ) ) )
| ( ( comp_a_c_c_a @ SV35 @ SV75 @ SY387 )
= ( comp_a_c_c_a @ SY388 @ SY389 @ SY387 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(613,plain,
! [SV76: b > a,SV36: a > c > c] :
( ( ! [SY390: b > c > c] :
( ( ( comp_a_c_c_b @ SV36 @ SV76 )
!= SY390 )
| ! [SY391: b] :
( ( SV36 @ ( SV76 @ SY391 ) )
= ( SY390 @ SY391 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(614,plain,
! [SV77: a > a,SV37: a > c > c] :
( ( ! [SY392: a > c > c] :
( ( ( comp_a_c_c_a @ SV37 @ SV77 )
!= SY392 )
| ! [SY393: a] :
( ( SV37 @ ( SV77 @ SY393 ) )
= ( SY392 @ SY393 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(615,plain,
! [SV78: b > a,SV38: a > c > c] :
( ( ! [SY394: a > c > c,SY395: b > a] :
( ( ( comp_a_c_c_b @ SV38 @ SV78 )
!= ( comp_a_c_c_b @ SY394 @ SY395 ) )
| ! [SY396: b] :
( ( SV38 @ ( SV78 @ SY396 ) )
= ( SY394 @ ( SY395 @ SY396 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(616,plain,
! [SV79: a > a,SV39: a > c > c] :
( ( ! [SY397: a > c > c,SY398: a > a] :
( ( ( comp_a_c_c_a @ SV39 @ SV79 )
!= ( comp_a_c_c_a @ SY397 @ SY398 ) )
| ! [SY399: a] :
( ( SV39 @ ( SV79 @ SY399 ) )
= ( SY397 @ ( SY398 @ SY399 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(617,plain,
! [SV80: b > a,SV40: a > c > c] :
( ( ! [SY400: a > c > c,SY401: b > a] :
( ( ( comp_a_c_c_b @ SV40 @ SV80 )
!= ( comp_a_c_c_b @ SY400 @ SY401 ) )
| ! [SY402: b] :
( ( SV40 @ ( SV80 @ SY402 ) )
= ( SY400 @ ( SY401 @ SY402 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(618,plain,
! [SV81: a > a,SV41: a > c > c] :
( ( ! [SY403: a > c > c,SY404: a > a] :
( ( ( comp_a_c_c_a @ SV41 @ SV81 )
!= ( comp_a_c_c_a @ SY403 @ SY404 ) )
| ! [SY405: a] :
( ( SV41 @ ( SV81 @ SY405 ) )
= ( SY403 @ ( SY404 @ SY405 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(619,plain,
! [SV82: a > a,SV42: a > c > c] :
( ( ! [SY406: a > a] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV42 @ SV82 ) @ SY406 )
= ( comp_a_c_c_a @ SV42 @ ( comp_a_a_a @ SV82 @ SY406 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(620,plain,
! [SV83: a > c > c,SV43: ( c > c ) > c > c] :
( ( ! [SY407: a > a] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV43 @ SV83 ) @ SY407 )
= ( comp_c_c_c_c_a @ SV43 @ ( comp_a_c_c_a @ SV83 @ SY407 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(621,plain,
! [SV84: a > c > c] :
( ( ( comp_a_c_c_b @ SV84 )
= ( ^ [SY408: b > a,SY409: b] : ( SV84 @ ( SY408 @ SY409 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(622,plain,
! [SV85: a > c > c] :
( ( ( comp_a_c_c_a @ SV85 )
= ( ^ [SY410: a > a,SY411: a] : ( SV85 @ ( SY410 @ SY411 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(623,plain,
! [SV86: b > a,SV46: a > a] :
( ( ! [SY412: b,SY413: a > a,SY414: b > a] :
( ( ( SV46 @ ( SV86 @ SY412 ) )
!= ( SY413 @ ( SY414 @ SY412 ) ) )
| ! [SY415: a > c > c] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY415 @ SV46 ) @ SV86 @ SY412 )
= ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY415 @ SY413 ) @ SY414 @ SY412 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(624,plain,
! [SV87: a > a,SV47: a > a] :
( ( ! [SY416: a,SY417: a > a,SY418: a > a] :
( ( ( SV47 @ ( SV87 @ SY416 ) )
!= ( SY417 @ ( SY418 @ SY416 ) ) )
| ! [SY419: a > c > c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY419 @ SV47 ) @ SV87 @ SY416 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY419 @ SY417 ) @ SY418 @ SY416 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(625,plain,
! [SV88: a > a,SV48: a > c > c] :
( ( ! [SY420: a,SY421: a > c > c,SY422: a > a,SY423: a] :
( ( ( SV48 @ ( SV88 @ SY420 ) )
!= ( SY421 @ ( SY422 @ SY423 ) ) )
| ( ( comp_a_c_c_a @ SV48 @ SV88 @ SY420 )
= ( comp_a_c_c_a @ SY421 @ SY422 @ SY423 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(626,plain,
! [SV89: a > a] :
( ( ( map_fun_a_a_a_c_c @ SV89 )
= ( ^ [SY424: a > c > c,SY425: a > a] : ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY424 @ SY425 ) @ SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(627,plain,
! [SV90: a > c > c,SV50: a > a] :
( ( ( ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) ) )
= ( ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(628,plain,
! [SV91: a > c > c] :
( ( ( finite40241358em_a_c @ SV91 )
= ( ~ ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(629,plain,
! [SV92: a > c > c,SV52: a > c > c] :
( ( ( ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) ) )
= ( ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(630,plain,
! [SV53: a,SV1: a > c > c] :
( ( ( ~ ( finite746615251te_a_c @ SV1 ) )
= $true )
| ( ( ! [SY335: a,SY336: c] :
( ( SV1 @ SV53 @ ( SV1 @ SY335 @ SY336 ) )
= ( SV1 @ SY335 @ ( SV1 @ SV53 @ SY336 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(631,plain,
! [SV93: c > c,SV54: a > c > c,SV2: a > c > c] :
( ( ~ ( finite746615251te_a_c @ SV2 )
| ~ ( finite746615251te_a_c @ SV54 )
| ( ( SV93 @ ( SV54 @ ( sK4_X2 @ SV93 @ SV54 @ SV2 ) @ ( sK5_SY196 @ SV93 @ SV54 @ SV2 ) ) )
!= ( SV2 @ ( sK4_X2 @ SV93 @ SV54 @ SV2 ) @ ( SV93 @ ( sK5_SY196 @ SV93 @ SV54 @ SV2 ) ) ) )
| ! [SY432: c,SY433: multiset_a] :
( ( SV93 @ ( fold_mset_a_c @ SV54 @ SY432 @ SY433 ) )
= ( fold_mset_a_c @ SV2 @ ( SV93 @ SY432 ) @ SY433 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(632,plain,
! [SV55: a,SV3: a > c > c] :
( ( ( ~ ( finite746615251te_a_c @ SV3 ) )
= $true )
| ( ( ! [SY340: c,SY341: multiset_a] :
( ( SV3 @ SV55 @ ( fold_mset_a_c @ SV3 @ SY340 @ SY341 ) )
= ( fold_mset_a_c @ SV3 @ ( SV3 @ SV55 @ SY340 ) @ SY341 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(633,plain,
! [SV4: a > c > c] :
( ( ( finite40241358em_a_c @ SV4 )
= $false )
| ( ( finite746615251te_a_c @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(634,plain,
! [SV94: set_a,SV56: c,SV5: a > c > c] :
( ( ~ ( finite746615251te_a_c @ SV5 )
| ! [SY434: c] :
( ~ ( finite1511629768ph_a_c @ SV5 @ SV56 @ SV94 @ SY434 )
| ! [SY435: c] :
( ~ ( finite1511629768ph_a_c @ SV5 @ SV56 @ SV94 @ SY435 )
| ( SY435 = SY434 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(635,plain,
! [SV57: a,SV6: a > c > c] :
( ( ( ~ ( finite746615251te_a_c @ SV6 ) )
= $true )
| ( ( ! [SY345: c,SY346: fset_a] :
( ( SV6 @ SV57 @ ( ffold_a_c @ SV6 @ SY345 @ SY346 ) )
= ( ffold_a_c @ SV6 @ ( SV6 @ SV57 @ SY345 ) @ SY346 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[583]) ).
thf(636,plain,
! [SV7: a > c > c] :
( ( ( finite746615251te_a_c @ SV7 )
= $false )
| ( ( ! [SY214: b > a] : ( finite1574384658te_b_c @ ( comp_a_c_c_b @ SV7 @ SY214 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(637,plain,
! [SV8: a > c > c] :
( ( ( finite746615251te_a_c @ SV8 )
= $false )
| ( ( ! [SY215: a > a] : ( finite746615251te_a_c @ ( comp_a_c_c_a @ SV8 @ SY215 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(638,plain,
! [SV58: a > c > c] :
( ( ~ ( ( finite746615251te_a_c @ SV58 )
| ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) )
| ~ ( ~ ( finite746615251te_a_c @ SV58 )
| ~ ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[586]) ).
thf(639,plain,
! [SV58: a > c > c] :
( ( ( finite746615251te_a_c @ SV58 )
= ( ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[586]) ).
thf(640,plain,
! [SV10: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV10 @ ( sK2_Y2 @ SV10 ) ) @ ( SV10 @ ( sK3_SY195 @ SV10 ) ) )
= ( comp_c_c_c @ ( SV10 @ ( sK3_SY195 @ SV10 ) ) @ ( SV10 @ ( sK2_Y2 @ SV10 ) ) ) )
= $false )
| ( ( finite746615251te_a_c @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(641,plain,
! [SV11: a > c > c] :
( ( ( finite746615251te_a_c @ SV11 )
= $false )
| ( ( ! [SY218: a,SY219: a] :
( ( comp_c_c_c @ ( SV11 @ SY218 ) @ ( SV11 @ SY219 ) )
= ( comp_c_c_c @ ( SV11 @ SY219 ) @ ( SV11 @ SY218 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(642,plain,
! [SV12: a > c > c] :
( ( ( finite746615251te_a_c @ SV12 )
= $false )
| ( ( ~ ( finite19304177ms_a_c @ SV12 )
| ( finite40241358em_a_c @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(643,plain,
! [SV59: c,SV13: a > c > c] :
( ( ( ~ ( finite746615251te_a_c @ SV13 ) )
= $true )
| ( ( ! [SY349: multiset_a,SY350: multiset_a] :
( ( fold_mset_a_c @ SV13 @ SV59 @ ( plus_plus_multiset_a @ SY349 @ SY350 ) )
= ( fold_mset_a_c @ SV13 @ ( fold_mset_a_c @ SV13 @ SV59 @ SY349 ) @ SY350 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[590]) ).
thf(644,plain,
! [SV14: a > c > c] :
( ( ( finite40241358em_a_c @ SV14 )
= $false )
| ( ( ! [SY223: a] :
( ( comp_c_c_c @ ( SV14 @ SY223 ) @ ( SV14 @ SY223 ) )
= ( SV14 @ SY223 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(645,plain,
! [SV15: a > c > c] :
( ( ( finite40241358em_a_c @ SV15 )
= $false )
| ( ( ! [SY224: a,SY225: c] :
( ( SV15 @ SY224 @ ( SV15 @ SY224 @ SY225 ) )
= ( SV15 @ SY224 @ SY225 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(646,plain,
! [SV16: a > c > c] :
( ( ( finite40241358em_a_c @ SV16 )
= $false )
| ( ( ! [SY226: b > a] : ( finite868010765em_b_c @ ( comp_a_c_c_b @ SV16 @ SY226 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(647,plain,
! [SV17: a > c > c] :
( ( ( finite40241358em_a_c @ SV17 )
= $false )
| ( ( ! [SY227: a > a] : ( finite40241358em_a_c @ ( comp_a_c_c_a @ SV17 @ SY227 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(648,plain,
! [SV60: a > c > c] :
( ( ! [SV95: b > a] :
( ( comp_a_c_c_b @ SV60 @ SV95 )
= ( ^ [SY436: b] : ( SV60 @ ( SV95 @ SY436 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[595]) ).
thf(649,plain,
! [SV60: a > c > c] :
( ( ( comp_a_c_c_b @ SV60 )
= ( ^ [SY351: b > a,SY352: b] : ( SV60 @ ( SY351 @ SY352 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[595]) ).
thf(650,plain,
! [SV61: a > c > c] :
( ( ! [SV96: a > a] :
( ( comp_a_c_c_a @ SV61 @ SV96 )
= ( ^ [SY437: a] : ( SV61 @ ( SV96 @ SY437 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[596]) ).
thf(651,plain,
! [SV61: a > c > c] :
( ( ( comp_a_c_c_a @ SV61 )
= ( ^ [SY353: a > a,SY354: a] : ( SV61 @ ( SY353 @ SY354 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[596]) ).
thf(652,plain,
! [SV20: a > c > c] :
( ( ( finite40241358em_a_c @ SV20 )
= $false )
| ( ( finite19304177ms_a_c @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(653,plain,
! [SV21: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV21 @ ( sK1_X2 @ SV21 ) ) @ ( SV21 @ ( sK1_X2 @ SV21 ) ) )
= ( SV21 @ ( sK1_X2 @ SV21 ) ) )
= $false )
| ( ( finite19304177ms_a_c @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(654,plain,
! [SV62: a > c > c] :
( ( ~ ( ( finite19304177ms_a_c @ SV62 )
| ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) )
| ~ ( ~ ( finite19304177ms_a_c @ SV62 )
| ~ ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[599]) ).
thf(655,plain,
! [SV62: a > c > c] :
( ( ( finite19304177ms_a_c @ SV62 )
= ( ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[599]) ).
thf(656,plain,
! [SV97: a > a,SV63: a > a,SV23: a > a] :
( ( ! [SY438: a > a] :
( ( ( comp_a_a_a @ SV23 @ SV63 )
!= ( comp_a_a_a @ SV97 @ SY438 ) )
| ! [SY439: a > c > c,SY440: a > c > c] :
( ( ( comp_a_c_c_a @ SY439 @ SV97 )
!= SY440 )
| ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY439 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SY440 @ SY438 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(657,plain,
! [SV98: a > c > c,SV64: a > a,SV24: a > c > c] :
( ( ! [SY441: a > a] :
( ( ( comp_a_c_c_a @ SV24 @ SV64 )
!= ( comp_a_c_c_a @ SV98 @ SY441 ) )
| ! [SY442: ( c > c ) > c > c,SY443: a > c > c] :
( ( ( comp_c_c_c_c_a @ SY442 @ SV98 )
!= SY443 )
| ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY442 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SY443 @ SY441 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(658,plain,
! [SV99: a > a,SV65: b > a,SV25: a > a] :
( ( ! [SY444: b > a] :
( ( ( comp_a_a_b @ SV25 @ SV65 )
!= ( comp_a_a_b @ SV99 @ SY444 ) )
| ! [SY445: a > c > c,SY446: a > c > c] :
( ( ( comp_a_c_c_a @ SY445 @ SV99 )
!= SY446 )
| ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY445 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SY446 @ SY444 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(659,plain,
! [SV100: a > c > c,SV66: a > a,SV26: a > c > c] :
( ( ! [SY447: a > a] :
( ( ( comp_a_c_c_a @ SV26 @ SV66 )
!= ( comp_a_c_c_a @ SV100 @ SY447 ) )
| ! [SY448: a > a,SY449: a > a] :
( ( ( comp_a_a_a @ SY447 @ SY448 )
!= SY449 )
| ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SY448 ) )
= ( comp_a_c_c_a @ SV100 @ SY449 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(660,plain,
! [SV101: a > a,SV67: a > a,SV27: a > a] :
( ( ( ( comp_a_a_a @ SV27 @ SV67 )
!= SV101 )
| ! [SY450: a > c > c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY450 @ SV27 ) @ SV67 )
= ( comp_a_c_c_a @ SY450 @ SV101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(661,plain,
! [SV102: a > c > c,SV68: a > a,SV28: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV28 @ SV68 )
!= SV102 )
| ! [SY451: ( c > c ) > c > c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY451 @ SV28 ) @ SV68 )
= ( comp_c_c_c_c_a @ SY451 @ SV102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(662,plain,
! [SV103: a > c > c,SV69: a > a,SV29: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV29 @ SV69 )
!= SV103 )
| ! [SY452: a > a] :
( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SY452 ) )
= ( comp_a_c_c_a @ SV103 @ SY452 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(663,plain,
! [SV104: a > c > c,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 )
!= SV104 )
| ! [SY453: a > a] :
( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SY453 ) )
= ( comp_a_c_c_a @ SV104 @ SY453 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(664,plain,
! [SV105: a > c > c,SV71: a > a,SV31: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV31 @ SV71 )
!= SV105 )
| ! [SY454: b > a] :
( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SY454 ) )
= ( comp_a_c_c_b @ SV105 @ SY454 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(665,plain,
! [SV106: a > a,SV72: a > a,SV32: a > c > c] :
( ( ( comp_a_c_c_a @ SV32 @ ( comp_a_a_a @ SV72 @ SV106 ) )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV32 @ SV72 ) @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(666,plain,
! [SV107: a > a,SV73: a > c > c,SV33: ( c > c ) > c > c] :
( ( ( comp_c_c_c_c_a @ SV33 @ ( comp_a_c_c_a @ SV73 @ SV107 ) )
= ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV33 @ SV73 ) @ SV107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(667,plain,
! [SV108: b,SV74: b > a,SV34: a > c > c] :
( ( ! [SY455: a > c > c,SY456: b > a] :
( ( ( SV34 @ ( SV74 @ SV108 ) )
!= ( SY455 @ ( SY456 @ SV108 ) ) )
| ( ( comp_a_c_c_b @ SV34 @ SV74 @ SV108 )
= ( comp_a_c_c_b @ SY455 @ SY456 @ SV108 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(668,plain,
! [SV109: a,SV75: a > a,SV35: a > c > c] :
( ( ! [SY457: a > c > c,SY458: a > a] :
( ( ( SV35 @ ( SV75 @ SV109 ) )
!= ( SY457 @ ( SY458 @ SV109 ) ) )
| ( ( comp_a_c_c_a @ SV35 @ SV75 @ SV109 )
= ( comp_a_c_c_a @ SY457 @ SY458 @ SV109 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(669,plain,
! [SV110: b > c > c,SV76: b > a,SV36: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV36 @ SV76 )
!= SV110 )
| ! [SY459: b] :
( ( SV36 @ ( SV76 @ SY459 ) )
= ( SV110 @ SY459 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(670,plain,
! [SV111: a > c > c,SV77: a > a,SV37: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV37 @ SV77 )
!= SV111 )
| ! [SY460: a] :
( ( SV37 @ ( SV77 @ SY460 ) )
= ( SV111 @ SY460 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(671,plain,
! [SV112: a > c > c,SV78: b > a,SV38: a > c > c] :
( ( ! [SY461: b > a] :
( ( ( comp_a_c_c_b @ SV38 @ SV78 )
!= ( comp_a_c_c_b @ SV112 @ SY461 ) )
| ! [SY462: b] :
( ( SV38 @ ( SV78 @ SY462 ) )
= ( SV112 @ ( SY461 @ SY462 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(672,plain,
! [SV113: a > c > c,SV79: a > a,SV39: a > c > c] :
( ( ! [SY463: a > a] :
( ( ( comp_a_c_c_a @ SV39 @ SV79 )
!= ( comp_a_c_c_a @ SV113 @ SY463 ) )
| ! [SY464: a] :
( ( SV39 @ ( SV79 @ SY464 ) )
= ( SV113 @ ( SY463 @ SY464 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(673,plain,
! [SV114: a > c > c,SV80: b > a,SV40: a > c > c] :
( ( ! [SY465: b > a] :
( ( ( comp_a_c_c_b @ SV40 @ SV80 )
!= ( comp_a_c_c_b @ SV114 @ SY465 ) )
| ! [SY466: b] :
( ( SV40 @ ( SV80 @ SY466 ) )
= ( SV114 @ ( SY465 @ SY466 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(674,plain,
! [SV115: a > c > c,SV81: a > a,SV41: a > c > c] :
( ( ! [SY467: a > a] :
( ( ( comp_a_c_c_a @ SV41 @ SV81 )
!= ( comp_a_c_c_a @ SV115 @ SY467 ) )
| ! [SY468: a] :
( ( SV41 @ ( SV81 @ SY468 ) )
= ( SV115 @ ( SY467 @ SY468 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(675,plain,
! [SV116: a > a,SV82: a > a,SV42: a > c > c] :
( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV42 @ SV82 ) @ SV116 )
= ( comp_a_c_c_a @ SV42 @ ( comp_a_a_a @ SV82 @ SV116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(676,plain,
! [SV117: a > a,SV83: a > c > c,SV43: ( c > c ) > c > c] :
( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV43 @ SV83 ) @ SV117 )
= ( comp_c_c_c_c_a @ SV43 @ ( comp_a_c_c_a @ SV83 @ SV117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(677,plain,
! [SV84: a > c > c] :
( ( ! [SV118: b > a] :
( ( comp_a_c_c_b @ SV84 @ SV118 )
= ( ^ [SY469: b] : ( SV84 @ ( SV118 @ SY469 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[621]) ).
thf(678,plain,
! [SV84: a > c > c] :
( ( ( comp_a_c_c_b @ SV84 )
= ( ^ [SY408: b > a,SY409: b] : ( SV84 @ ( SY408 @ SY409 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[621]) ).
thf(679,plain,
! [SV85: a > c > c] :
( ( ! [SV119: a > a] :
( ( comp_a_c_c_a @ SV85 @ SV119 )
= ( ^ [SY470: a] : ( SV85 @ ( SV119 @ SY470 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[622]) ).
thf(680,plain,
! [SV85: a > c > c] :
( ( ( comp_a_c_c_a @ SV85 )
= ( ^ [SY410: a > a,SY411: a] : ( SV85 @ ( SY410 @ SY411 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[622]) ).
thf(681,plain,
! [SV120: b,SV86: b > a,SV46: a > a] :
( ( ! [SY471: a > a,SY472: b > a] :
( ( ( SV46 @ ( SV86 @ SV120 ) )
!= ( SY471 @ ( SY472 @ SV120 ) ) )
| ! [SY473: a > c > c] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY473 @ SV46 ) @ SV86 @ SV120 )
= ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY473 @ SY471 ) @ SY472 @ SV120 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(682,plain,
! [SV121: a,SV87: a > a,SV47: a > a] :
( ( ! [SY474: a > a,SY475: a > a] :
( ( ( SV47 @ ( SV87 @ SV121 ) )
!= ( SY474 @ ( SY475 @ SV121 ) ) )
| ! [SY476: a > c > c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY476 @ SV47 ) @ SV87 @ SV121 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY476 @ SY474 ) @ SY475 @ SV121 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(683,plain,
! [SV122: a,SV88: a > a,SV48: a > c > c] :
( ( ! [SY477: a > c > c,SY478: a > a,SY479: a] :
( ( ( SV48 @ ( SV88 @ SV122 ) )
!= ( SY477 @ ( SY478 @ SY479 ) ) )
| ( ( comp_a_c_c_a @ SV48 @ SV88 @ SV122 )
= ( comp_a_c_c_a @ SY477 @ SY478 @ SY479 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(684,plain,
! [SV89: a > a] :
( ( ! [SV123: a > c > c] :
( ( map_fun_a_a_a_c_c @ SV89 @ SV123 )
= ( ^ [SY480: a > a] : ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV123 @ SY480 ) @ SV89 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[626]) ).
thf(685,plain,
! [SV89: a > a] :
( ( ( map_fun_a_a_a_c_c @ SV89 )
= ( ^ [SY424: a > c > c,SY425: a > a] : ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY424 @ SY425 ) @ SV89 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[626]) ).
thf(686,plain,
! [SV90: a > c > c,SV50: a > a] :
( ( ~ ( ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
| ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[627]) ).
thf(687,plain,
! [SV90: a > c > c,SV50: a > a] :
( ( ( ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) ) )
= ( ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[627]) ).
thf(688,plain,
! [SV91: a > c > c] :
( ( ~ ( ( finite40241358em_a_c @ SV91 )
| ~ ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) ) )
| ~ ( ~ ( finite40241358em_a_c @ SV91 )
| ~ ~ ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[628]) ).
thf(689,plain,
! [SV91: a > c > c] :
( ( ( finite40241358em_a_c @ SV91 )
= ( ~ ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[628]) ).
thf(690,plain,
! [SV92: a > c > c,SV52: a > c > c] :
( ( ~ ( ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
| ~ ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[629]) ).
thf(691,plain,
! [SV92: a > c > c,SV52: a > c > c] :
( ( ( ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) ) )
= ( ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[629]) ).
thf(692,plain,
! [SV53: a,SV1: a > c > c] :
( ( ( finite746615251te_a_c @ SV1 )
= $false )
| ( ( ! [SY335: a,SY336: c] :
( ( SV1 @ SV53 @ ( SV1 @ SY335 @ SY336 ) )
= ( SV1 @ SY335 @ ( SV1 @ SV53 @ SY336 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(693,plain,
! [SV93: c > c,SV54: a > c > c,SV2: a > c > c] :
( ( ( ~ ( finite746615251te_a_c @ SV2 ) )
= $true )
| ( ( ~ ( finite746615251te_a_c @ SV54 )
| ( ( SV93 @ ( SV54 @ ( sK4_X2 @ SV93 @ SV54 @ SV2 ) @ ( sK5_SY196 @ SV93 @ SV54 @ SV2 ) ) )
!= ( SV2 @ ( sK4_X2 @ SV93 @ SV54 @ SV2 ) @ ( SV93 @ ( sK5_SY196 @ SV93 @ SV54 @ SV2 ) ) ) )
| ! [SY432: c,SY433: multiset_a] :
( ( SV93 @ ( fold_mset_a_c @ SV54 @ SY432 @ SY433 ) )
= ( fold_mset_a_c @ SV2 @ ( SV93 @ SY432 ) @ SY433 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[631]) ).
thf(694,plain,
! [SV55: a,SV3: a > c > c] :
( ( ( finite746615251te_a_c @ SV3 )
= $false )
| ( ( ! [SY340: c,SY341: multiset_a] :
( ( SV3 @ SV55 @ ( fold_mset_a_c @ SV3 @ SY340 @ SY341 ) )
= ( fold_mset_a_c @ SV3 @ ( SV3 @ SV55 @ SY340 ) @ SY341 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(695,plain,
! [SV94: set_a,SV56: c,SV5: a > c > c] :
( ( ( ~ ( finite746615251te_a_c @ SV5 ) )
= $true )
| ( ( ! [SY434: c] :
( ~ ( finite1511629768ph_a_c @ SV5 @ SV56 @ SV94 @ SY434 )
| ! [SY435: c] :
( ~ ( finite1511629768ph_a_c @ SV5 @ SV56 @ SV94 @ SY435 )
| ( SY435 = SY434 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(696,plain,
! [SV57: a,SV6: a > c > c] :
( ( ( finite746615251te_a_c @ SV6 )
= $false )
| ( ( ! [SY345: c,SY346: fset_a] :
( ( SV6 @ SV57 @ ( ffold_a_c @ SV6 @ SY345 @ SY346 ) )
= ( ffold_a_c @ SV6 @ ( SV6 @ SV57 @ SY345 ) @ SY346 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(697,plain,
! [SV124: b > a,SV7: a > c > c] :
( ( ( finite1574384658te_b_c @ ( comp_a_c_c_b @ SV7 @ SV124 ) )
= $true )
| ( ( finite746615251te_a_c @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(698,plain,
! [SV125: a > a,SV8: a > c > c] :
( ( ( finite746615251te_a_c @ ( comp_a_c_c_a @ SV8 @ SV125 ) )
= $true )
| ( ( finite746615251te_a_c @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(699,plain,
! [SV58: a > c > c] :
( ( ( ~ ( ( finite746615251te_a_c @ SV58 )
| ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( finite746615251te_a_c @ SV58 )
| ~ ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[638]) ).
thf(700,plain,
! [SV10: a > c > c] :
( ( ( ! [SV126: c] :
( ( comp_c_c_c @ ( SV10 @ ( sK2_Y2 @ SV10 ) ) @ ( SV10 @ ( sK3_SY195 @ SV10 ) ) @ SV126 )
= ( comp_c_c_c @ ( SV10 @ ( sK3_SY195 @ SV10 ) ) @ ( SV10 @ ( sK2_Y2 @ SV10 ) ) @ SV126 ) ) )
= $false )
| ( ( finite746615251te_a_c @ SV10 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[640]) ).
thf(701,plain,
! [SV10: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV10 @ ( sK2_Y2 @ SV10 ) ) @ ( SV10 @ ( sK3_SY195 @ SV10 ) ) )
= ( comp_c_c_c @ ( SV10 @ ( sK3_SY195 @ SV10 ) ) @ ( SV10 @ ( sK2_Y2 @ SV10 ) ) ) )
= $false )
| ( ( finite746615251te_a_c @ SV10 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[640]) ).
thf(702,plain,
! [SV127: a,SV11: a > c > c] :
( ( ( ! [SY481: a] :
( ( comp_c_c_c @ ( SV11 @ SV127 ) @ ( SV11 @ SY481 ) )
= ( comp_c_c_c @ ( SV11 @ SY481 ) @ ( SV11 @ SV127 ) ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(703,plain,
! [SV12: a > c > c] :
( ( ( ~ ( finite19304177ms_a_c @ SV12 ) )
= $true )
| ( ( finite40241358em_a_c @ SV12 )
= $true )
| ( ( finite746615251te_a_c @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[642]) ).
thf(704,plain,
! [SV59: c,SV13: a > c > c] :
( ( ( finite746615251te_a_c @ SV13 )
= $false )
| ( ( ! [SY349: multiset_a,SY350: multiset_a] :
( ( fold_mset_a_c @ SV13 @ SV59 @ ( plus_plus_multiset_a @ SY349 @ SY350 ) )
= ( fold_mset_a_c @ SV13 @ ( fold_mset_a_c @ SV13 @ SV59 @ SY349 ) @ SY350 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(705,plain,
! [SV128: a,SV14: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV14 @ SV128 ) @ ( SV14 @ SV128 ) )
= ( SV14 @ SV128 ) )
= $true )
| ( ( finite40241358em_a_c @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(706,plain,
! [SV129: a,SV15: a > c > c] :
( ( ( ! [SY482: c] :
( ( SV15 @ SV129 @ ( SV15 @ SV129 @ SY482 ) )
= ( SV15 @ SV129 @ SY482 ) ) )
= $true )
| ( ( finite40241358em_a_c @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(707,plain,
! [SV130: b > a,SV16: a > c > c] :
( ( ( finite868010765em_b_c @ ( comp_a_c_c_b @ SV16 @ SV130 ) )
= $true )
| ( ( finite40241358em_a_c @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(708,plain,
! [SV131: a > a,SV17: a > c > c] :
( ( ( finite40241358em_a_c @ ( comp_a_c_c_a @ SV17 @ SV131 ) )
= $true )
| ( ( finite40241358em_a_c @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(709,plain,
! [SV132: b > a,SV60: a > c > c] :
( ( ( comp_a_c_c_b @ SV60 @ SV132 )
= ( ^ [SY483: b] : ( SV60 @ ( SV132 @ SY483 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(710,plain,
! [SV133: a > a,SV61: a > c > c] :
( ( ( comp_a_c_c_a @ SV61 @ SV133 )
= ( ^ [SY484: a] : ( SV61 @ ( SV133 @ SY484 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(711,plain,
! [SV21: a > c > c] :
( ( ( ! [SV134: c] :
( ( comp_c_c_c @ ( SV21 @ ( sK1_X2 @ SV21 ) ) @ ( SV21 @ ( sK1_X2 @ SV21 ) ) @ SV134 )
= ( SV21 @ ( sK1_X2 @ SV21 ) @ SV134 ) ) )
= $false )
| ( ( finite19304177ms_a_c @ SV21 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[653]) ).
thf(712,plain,
! [SV21: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV21 @ ( sK1_X2 @ SV21 ) ) @ ( SV21 @ ( sK1_X2 @ SV21 ) ) )
= ( SV21 @ ( sK1_X2 @ SV21 ) ) )
= $false )
| ( ( finite19304177ms_a_c @ SV21 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[653]) ).
thf(713,plain,
! [SV62: a > c > c] :
( ( ( ~ ( ( finite19304177ms_a_c @ SV62 )
| ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) ) )
= $true )
| ( ( ~ ( ~ ( finite19304177ms_a_c @ SV62 )
| ~ ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[654]) ).
thf(714,plain,
! [SV135: a > a,SV97: a > a,SV63: a > a,SV23: a > a] :
( ( ( ( comp_a_a_a @ SV23 @ SV63 )
!= ( comp_a_a_a @ SV97 @ SV135 ) )
| ! [SY485: a > c > c,SY486: a > c > c] :
( ( ( comp_a_c_c_a @ SY485 @ SV97 )
!= SY486 )
| ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY485 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SY486 @ SV135 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(715,plain,
! [SV136: a > a,SV98: a > c > c,SV64: a > a,SV24: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
!= ( comp_a_c_c_a @ SV98 @ SV136 ) )
| ! [SY487: ( c > c ) > c > c,SY488: a > c > c] :
( ( ( comp_c_c_c_c_a @ SY487 @ SV98 )
!= SY488 )
| ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY487 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SY488 @ SV136 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(716,plain,
! [SV137: b > a,SV99: a > a,SV65: b > a,SV25: a > a] :
( ( ( ( comp_a_a_b @ SV25 @ SV65 )
!= ( comp_a_a_b @ SV99 @ SV137 ) )
| ! [SY489: a > c > c,SY490: a > c > c] :
( ( ( comp_a_c_c_a @ SY489 @ SV99 )
!= SY490 )
| ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY489 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SY490 @ SV137 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(717,plain,
! [SV138: a > a,SV100: a > c > c,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
!= ( comp_a_c_c_a @ SV100 @ SV138 ) )
| ! [SY491: a > a,SY492: a > a] :
( ( ( comp_a_a_a @ SV138 @ SY491 )
!= SY492 )
| ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SY491 ) )
= ( comp_a_c_c_a @ SV100 @ SY492 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(718,plain,
! [SV101: a > a,SV67: a > a,SV27: a > a] :
( ( ( ( ( comp_a_a_a @ SV27 @ SV67 )
!= SV101 ) )
= $true )
| ( ( ! [SY450: a > c > c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY450 @ SV27 ) @ SV67 )
= ( comp_a_c_c_a @ SY450 @ SV101 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[660]) ).
thf(719,plain,
! [SV102: a > c > c,SV68: a > a,SV28: a > c > c] :
( ( ( ( ( comp_a_c_c_a @ SV28 @ SV68 )
!= SV102 ) )
= $true )
| ( ( ! [SY451: ( c > c ) > c > c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY451 @ SV28 ) @ SV68 )
= ( comp_c_c_c_c_a @ SY451 @ SV102 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[661]) ).
thf(720,plain,
! [SV103: a > c > c,SV69: a > a,SV29: a > c > c] :
( ( ( ( ( comp_a_c_c_a @ SV29 @ SV69 )
!= SV103 ) )
= $true )
| ( ( ! [SY452: a > a] :
( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SY452 ) )
= ( comp_a_c_c_a @ SV103 @ SY452 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(721,plain,
! [SV104: a > c > c,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 )
!= SV104 ) )
= $true )
| ( ( ! [SY453: a > a] :
( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SY453 ) )
= ( comp_a_c_c_a @ SV104 @ SY453 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[663]) ).
thf(722,plain,
! [SV105: a > c > c,SV71: a > a,SV31: a > c > c] :
( ( ( ( ( comp_a_c_c_a @ SV31 @ SV71 )
!= SV105 ) )
= $true )
| ( ( ! [SY454: b > a] :
( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SY454 ) )
= ( comp_a_c_c_b @ SV105 @ SY454 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[664]) ).
thf(723,plain,
! [SV106: a > a,SV72: a > a,SV32: a > c > c] :
( ( ! [SV139: a] :
( ( comp_a_c_c_a @ SV32 @ ( comp_a_a_a @ SV72 @ SV106 ) @ SV139 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV32 @ SV72 ) @ SV106 @ SV139 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[665]) ).
thf(724,plain,
! [SV106: a > a,SV72: a > a,SV32: a > c > c] :
( ( ( comp_a_c_c_a @ SV32 @ ( comp_a_a_a @ SV72 @ SV106 ) )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV32 @ SV72 ) @ SV106 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[665]) ).
thf(725,plain,
! [SV107: a > a,SV73: a > c > c,SV33: ( c > c ) > c > c] :
( ( ! [SV140: a] :
( ( comp_c_c_c_c_a @ SV33 @ ( comp_a_c_c_a @ SV73 @ SV107 ) @ SV140 )
= ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV33 @ SV73 ) @ SV107 @ SV140 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[666]) ).
thf(726,plain,
! [SV107: a > a,SV73: a > c > c,SV33: ( c > c ) > c > c] :
( ( ( comp_c_c_c_c_a @ SV33 @ ( comp_a_c_c_a @ SV73 @ SV107 ) )
= ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV33 @ SV73 ) @ SV107 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[666]) ).
thf(727,plain,
! [SV141: a > c > c,SV108: b,SV74: b > a,SV34: a > c > c] :
( ( ! [SY493: b > a] :
( ( ( SV34 @ ( SV74 @ SV108 ) )
!= ( SV141 @ ( SY493 @ SV108 ) ) )
| ( ( comp_a_c_c_b @ SV34 @ SV74 @ SV108 )
= ( comp_a_c_c_b @ SV141 @ SY493 @ SV108 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(728,plain,
! [SV142: a > c > c,SV109: a,SV75: a > a,SV35: a > c > c] :
( ( ! [SY494: a > a] :
( ( ( SV35 @ ( SV75 @ SV109 ) )
!= ( SV142 @ ( SY494 @ SV109 ) ) )
| ( ( comp_a_c_c_a @ SV35 @ SV75 @ SV109 )
= ( comp_a_c_c_a @ SV142 @ SY494 @ SV109 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(729,plain,
! [SV110: b > c > c,SV76: b > a,SV36: a > c > c] :
( ( ( ( ( comp_a_c_c_b @ SV36 @ SV76 )
!= SV110 ) )
= $true )
| ( ( ! [SY459: b] :
( ( SV36 @ ( SV76 @ SY459 ) )
= ( SV110 @ SY459 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[669]) ).
thf(730,plain,
! [SV111: a > c > c,SV77: a > a,SV37: a > c > c] :
( ( ( ( ( comp_a_c_c_a @ SV37 @ SV77 )
!= SV111 ) )
= $true )
| ( ( ! [SY460: a] :
( ( SV37 @ ( SV77 @ SY460 ) )
= ( SV111 @ SY460 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[670]) ).
thf(731,plain,
! [SV143: b > a,SV112: a > c > c,SV78: b > a,SV38: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV38 @ SV78 )
!= ( comp_a_c_c_b @ SV112 @ SV143 ) )
| ! [SY495: b] :
( ( SV38 @ ( SV78 @ SY495 ) )
= ( SV112 @ ( SV143 @ SY495 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(732,plain,
! [SV144: a > a,SV113: a > c > c,SV79: a > a,SV39: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV39 @ SV79 )
!= ( comp_a_c_c_a @ SV113 @ SV144 ) )
| ! [SY496: a] :
( ( SV39 @ ( SV79 @ SY496 ) )
= ( SV113 @ ( SV144 @ SY496 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(733,plain,
! [SV145: b > a,SV114: a > c > c,SV80: b > a,SV40: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV40 @ SV80 )
!= ( comp_a_c_c_b @ SV114 @ SV145 ) )
| ! [SY497: b] :
( ( SV40 @ ( SV80 @ SY497 ) )
= ( SV114 @ ( SV145 @ SY497 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(734,plain,
! [SV146: a > a,SV115: a > c > c,SV81: a > a,SV41: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV41 @ SV81 )
!= ( comp_a_c_c_a @ SV115 @ SV146 ) )
| ! [SY498: a] :
( ( SV41 @ ( SV81 @ SY498 ) )
= ( SV115 @ ( SV146 @ SY498 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(735,plain,
! [SV116: a > a,SV82: a > a,SV42: a > c > c] :
( ( ! [SV147: a] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV42 @ SV82 ) @ SV116 @ SV147 )
= ( comp_a_c_c_a @ SV42 @ ( comp_a_a_a @ SV82 @ SV116 ) @ SV147 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[675]) ).
thf(736,plain,
! [SV116: a > a,SV82: a > a,SV42: a > c > c] :
( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV42 @ SV82 ) @ SV116 )
= ( comp_a_c_c_a @ SV42 @ ( comp_a_a_a @ SV82 @ SV116 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[675]) ).
thf(737,plain,
! [SV117: a > a,SV83: a > c > c,SV43: ( c > c ) > c > c] :
( ( ! [SV148: a] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV43 @ SV83 ) @ SV117 @ SV148 )
= ( comp_c_c_c_c_a @ SV43 @ ( comp_a_c_c_a @ SV83 @ SV117 ) @ SV148 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[676]) ).
thf(738,plain,
! [SV117: a > a,SV83: a > c > c,SV43: ( c > c ) > c > c] :
( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV43 @ SV83 ) @ SV117 )
= ( comp_c_c_c_c_a @ SV43 @ ( comp_a_c_c_a @ SV83 @ SV117 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[676]) ).
thf(739,plain,
! [SV149: b > a,SV84: a > c > c] :
( ( ( comp_a_c_c_b @ SV84 @ SV149 )
= ( ^ [SY499: b] : ( SV84 @ ( SV149 @ SY499 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(740,plain,
! [SV150: a > a,SV85: a > c > c] :
( ( ( comp_a_c_c_a @ SV85 @ SV150 )
= ( ^ [SY500: a] : ( SV85 @ ( SV150 @ SY500 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(741,plain,
! [SV151: a > a,SV120: b,SV86: b > a,SV46: a > a] :
( ( ! [SY501: b > a] :
( ( ( SV46 @ ( SV86 @ SV120 ) )
!= ( SV151 @ ( SY501 @ SV120 ) ) )
| ! [SY502: a > c > c] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY502 @ SV46 ) @ SV86 @ SV120 )
= ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY502 @ SV151 ) @ SY501 @ SV120 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(742,plain,
! [SV152: a > a,SV121: a,SV87: a > a,SV47: a > a] :
( ( ! [SY503: a > a] :
( ( ( SV47 @ ( SV87 @ SV121 ) )
!= ( SV152 @ ( SY503 @ SV121 ) ) )
| ! [SY504: a > c > c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY504 @ SV47 ) @ SV87 @ SV121 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY504 @ SV152 ) @ SY503 @ SV121 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(743,plain,
! [SV153: a > c > c,SV122: a,SV88: a > a,SV48: a > c > c] :
( ( ! [SY505: a > a,SY506: a] :
( ( ( SV48 @ ( SV88 @ SV122 ) )
!= ( SV153 @ ( SY505 @ SY506 ) ) )
| ( ( comp_a_c_c_a @ SV48 @ SV88 @ SV122 )
= ( comp_a_c_c_a @ SV153 @ SY505 @ SY506 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(744,plain,
! [SV154: a > c > c,SV89: a > a] :
( ( ( map_fun_a_a_a_c_c @ SV89 @ SV154 )
= ( ^ [SY507: a > a] : ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV154 @ SY507 ) @ SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(745,plain,
! [SV90: a > c > c,SV50: a > a] :
( ( ( ~ ( ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[686]) ).
thf(746,plain,
! [SV91: a > c > c] :
( ( ( ~ ( ( finite40241358em_a_c @ SV91 )
| ~ ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) ) ) )
= $true )
| ( ( ~ ( ~ ( finite40241358em_a_c @ SV91 )
| ~ ~ ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[688]) ).
thf(747,plain,
! [SV92: a > c > c,SV52: a > c > c] :
( ( ( ~ ( ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[690]) ).
thf(748,plain,
! [SV155: a,SV53: a,SV1: a > c > c] :
( ( ( ! [SY508: c] :
( ( SV1 @ SV53 @ ( SV1 @ SV155 @ SY508 ) )
= ( SV1 @ SV155 @ ( SV1 @ SV53 @ SY508 ) ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(749,plain,
! [SV93: c > c,SV54: a > c > c,SV2: a > c > c] :
( ( ( finite746615251te_a_c @ SV2 )
= $false )
| ( ( ~ ( finite746615251te_a_c @ SV54 )
| ( ( SV93 @ ( SV54 @ ( sK4_X2 @ SV93 @ SV54 @ SV2 ) @ ( sK5_SY196 @ SV93 @ SV54 @ SV2 ) ) )
!= ( SV2 @ ( sK4_X2 @ SV93 @ SV54 @ SV2 ) @ ( SV93 @ ( sK5_SY196 @ SV93 @ SV54 @ SV2 ) ) ) )
| ! [SY432: c,SY433: multiset_a] :
( ( SV93 @ ( fold_mset_a_c @ SV54 @ SY432 @ SY433 ) )
= ( fold_mset_a_c @ SV2 @ ( SV93 @ SY432 ) @ SY433 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(750,plain,
! [SV156: c,SV55: a,SV3: a > c > c] :
( ( ( ! [SY509: multiset_a] :
( ( SV3 @ SV55 @ ( fold_mset_a_c @ SV3 @ SV156 @ SY509 ) )
= ( fold_mset_a_c @ SV3 @ ( SV3 @ SV55 @ SV156 ) @ SY509 ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(751,plain,
! [SV94: set_a,SV56: c,SV5: a > c > c] :
( ( ( finite746615251te_a_c @ SV5 )
= $false )
| ( ( ! [SY434: c] :
( ~ ( finite1511629768ph_a_c @ SV5 @ SV56 @ SV94 @ SY434 )
| ! [SY435: c] :
( ~ ( finite1511629768ph_a_c @ SV5 @ SV56 @ SV94 @ SY435 )
| ( SY435 = SY434 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(752,plain,
! [SV157: c,SV57: a,SV6: a > c > c] :
( ( ( ! [SY510: fset_a] :
( ( SV6 @ SV57 @ ( ffold_a_c @ SV6 @ SV157 @ SY510 ) )
= ( ffold_a_c @ SV6 @ ( SV6 @ SV57 @ SV157 ) @ SY510 ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(753,plain,
! [SV58: a > c > c] :
( ( ( ( finite746615251te_a_c @ SV58 )
| ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) )
= $false )
| ( ( ~ ( ~ ( finite746615251te_a_c @ SV58 )
| ~ ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[699]) ).
thf(754,plain,
! [SV10: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV10 @ ( sK2_Y2 @ SV10 ) ) @ ( SV10 @ ( sK3_SY195 @ SV10 ) ) @ ( sK6_SV126 @ SV10 ) )
= ( comp_c_c_c @ ( SV10 @ ( sK3_SY195 @ SV10 ) ) @ ( SV10 @ ( sK2_Y2 @ SV10 ) ) @ ( sK6_SV126 @ SV10 ) ) )
= $false )
| ( ( finite746615251te_a_c @ SV10 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[700]) ).
thf(755,plain,
! [SV158: a,SV127: a,SV11: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV11 @ SV127 ) @ ( SV11 @ SV158 ) )
= ( comp_c_c_c @ ( SV11 @ SV158 ) @ ( SV11 @ SV127 ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(756,plain,
! [SV12: a > c > c] :
( ( ( finite19304177ms_a_c @ SV12 )
= $false )
| ( ( finite40241358em_a_c @ SV12 )
= $true )
| ( ( finite746615251te_a_c @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[703]) ).
thf(757,plain,
! [SV159: multiset_a,SV59: c,SV13: a > c > c] :
( ( ( ! [SY511: multiset_a] :
( ( fold_mset_a_c @ SV13 @ SV59 @ ( plus_plus_multiset_a @ SV159 @ SY511 ) )
= ( fold_mset_a_c @ SV13 @ ( fold_mset_a_c @ SV13 @ SV59 @ SV159 ) @ SY511 ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(758,plain,
! [SV128: a,SV14: a > c > c] :
( ( ( ! [SV160: c] :
( ( comp_c_c_c @ ( SV14 @ SV128 ) @ ( SV14 @ SV128 ) @ SV160 )
= ( SV14 @ SV128 @ SV160 ) ) )
= $true )
| ( ( finite40241358em_a_c @ SV14 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[705]) ).
thf(759,plain,
! [SV128: a,SV14: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV14 @ SV128 ) @ ( SV14 @ SV128 ) )
= ( SV14 @ SV128 ) )
= $true )
| ( ( finite40241358em_a_c @ SV14 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[705]) ).
thf(760,plain,
! [SV161: c,SV129: a,SV15: a > c > c] :
( ( ( ( SV15 @ SV129 @ ( SV15 @ SV129 @ SV161 ) )
= ( SV15 @ SV129 @ SV161 ) )
= $true )
| ( ( finite40241358em_a_c @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(761,plain,
! [SV132: b > a,SV60: a > c > c] :
( ( ! [SV162: b] :
( ( comp_a_c_c_b @ SV60 @ SV132 @ SV162 )
= ( SV60 @ ( SV132 @ SV162 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[709]) ).
thf(762,plain,
! [SV132: b > a,SV60: a > c > c] :
( ( ( comp_a_c_c_b @ SV60 @ SV132 )
= ( ^ [SY483: b] : ( SV60 @ ( SV132 @ SY483 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[709]) ).
thf(763,plain,
! [SV133: a > a,SV61: a > c > c] :
( ( ! [SV163: a] :
( ( comp_a_c_c_a @ SV61 @ SV133 @ SV163 )
= ( SV61 @ ( SV133 @ SV163 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[710]) ).
thf(764,plain,
! [SV133: a > a,SV61: a > c > c] :
( ( ( comp_a_c_c_a @ SV61 @ SV133 )
= ( ^ [SY484: a] : ( SV61 @ ( SV133 @ SY484 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[710]) ).
thf(765,plain,
! [SV21: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV21 @ ( sK1_X2 @ SV21 ) ) @ ( SV21 @ ( sK1_X2 @ SV21 ) ) @ ( sK7_SV134 @ SV21 ) )
= ( SV21 @ ( sK1_X2 @ SV21 ) @ ( sK7_SV134 @ SV21 ) ) )
= $false )
| ( ( finite19304177ms_a_c @ SV21 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[711]) ).
thf(766,plain,
! [SV62: a > c > c] :
( ( ( ( finite19304177ms_a_c @ SV62 )
| ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) )
= $false )
| ( ( ~ ( ~ ( finite19304177ms_a_c @ SV62 )
| ~ ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(767,plain,
! [SV135: a > a,SV97: a > a,SV63: a > a,SV23: a > a] :
( ( ( ( ( comp_a_a_a @ SV23 @ SV63 )
!= ( comp_a_a_a @ SV97 @ SV135 ) ) )
= $true )
| ( ( ! [SY485: a > c > c,SY486: a > c > c] :
( ( ( comp_a_c_c_a @ SY485 @ SV97 )
!= SY486 )
| ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY485 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SY486 @ SV135 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[714]) ).
thf(768,plain,
! [SV136: a > a,SV98: a > c > c,SV64: a > a,SV24: a > c > c] :
( ( ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
!= ( comp_a_c_c_a @ SV98 @ SV136 ) ) )
= $true )
| ( ( ! [SY487: ( c > c ) > c > c,SY488: a > c > c] :
( ( ( comp_c_c_c_c_a @ SY487 @ SV98 )
!= SY488 )
| ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY487 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SY488 @ SV136 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(769,plain,
! [SV137: b > a,SV99: a > a,SV65: b > a,SV25: a > a] :
( ( ( ( ( comp_a_a_b @ SV25 @ SV65 )
!= ( comp_a_a_b @ SV99 @ SV137 ) ) )
= $true )
| ( ( ! [SY489: a > c > c,SY490: a > c > c] :
( ( ( comp_a_c_c_a @ SY489 @ SV99 )
!= SY490 )
| ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY489 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SY490 @ SV137 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[716]) ).
thf(770,plain,
! [SV138: a > a,SV100: a > c > c,SV66: a > a,SV26: a > c > c] :
( ( ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
!= ( comp_a_c_c_a @ SV100 @ SV138 ) ) )
= $true )
| ( ( ! [SY491: a > a,SY492: a > a] :
( ( ( comp_a_a_a @ SV138 @ SY491 )
!= SY492 )
| ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SY491 ) )
= ( comp_a_c_c_a @ SV100 @ SY492 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(771,plain,
! [SV101: a > a,SV67: a > a,SV27: a > a] :
( ( ( ( comp_a_a_a @ SV27 @ SV67 )
= SV101 )
= $false )
| ( ( ! [SY450: a > c > c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY450 @ SV27 ) @ SV67 )
= ( comp_a_c_c_a @ SY450 @ SV101 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(772,plain,
! [SV102: a > c > c,SV68: a > a,SV28: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV28 @ SV68 )
= SV102 )
= $false )
| ( ( ! [SY451: ( c > c ) > c > c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY451 @ SV28 ) @ SV68 )
= ( comp_c_c_c_c_a @ SY451 @ SV102 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[719]) ).
thf(773,plain,
! [SV103: a > c > c,SV69: a > a,SV29: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV29 @ SV69 )
= SV103 )
= $false )
| ( ( ! [SY452: a > a] :
( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SY452 ) )
= ( comp_a_c_c_a @ SV103 @ SY452 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(774,plain,
! [SV104: a > c > c,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 )
= SV104 )
= $false )
| ( ( ! [SY453: a > a] :
( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SY453 ) )
= ( comp_a_c_c_a @ SV104 @ SY453 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(775,plain,
! [SV105: a > c > c,SV71: a > a,SV31: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV31 @ SV71 )
= SV105 )
= $false )
| ( ( ! [SY454: b > a] :
( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SY454 ) )
= ( comp_a_c_c_b @ SV105 @ SY454 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(776,plain,
! [SV164: a,SV106: a > a,SV72: a > a,SV32: a > c > c] :
( ( ( comp_a_c_c_a @ SV32 @ ( comp_a_a_a @ SV72 @ SV106 ) @ SV164 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV32 @ SV72 ) @ SV106 @ SV164 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(777,plain,
! [SV165: a,SV107: a > a,SV73: a > c > c,SV33: ( c > c ) > c > c] :
( ( ( comp_c_c_c_c_a @ SV33 @ ( comp_a_c_c_a @ SV73 @ SV107 ) @ SV165 )
= ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV33 @ SV73 ) @ SV107 @ SV165 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(778,plain,
! [SV166: b > a,SV141: a > c > c,SV108: b,SV74: b > a,SV34: a > c > c] :
( ( ( ( SV34 @ ( SV74 @ SV108 ) )
!= ( SV141 @ ( SV166 @ SV108 ) ) )
| ( ( comp_a_c_c_b @ SV34 @ SV74 @ SV108 )
= ( comp_a_c_c_b @ SV141 @ SV166 @ SV108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(779,plain,
! [SV167: a > a,SV142: a > c > c,SV109: a,SV75: a > a,SV35: a > c > c] :
( ( ( ( SV35 @ ( SV75 @ SV109 ) )
!= ( SV142 @ ( SV167 @ SV109 ) ) )
| ( ( comp_a_c_c_a @ SV35 @ SV75 @ SV109 )
= ( comp_a_c_c_a @ SV142 @ SV167 @ SV109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(780,plain,
! [SV110: b > c > c,SV76: b > a,SV36: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV36 @ SV76 )
= SV110 )
= $false )
| ( ( ! [SY459: b] :
( ( SV36 @ ( SV76 @ SY459 ) )
= ( SV110 @ SY459 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[729]) ).
thf(781,plain,
! [SV111: a > c > c,SV77: a > a,SV37: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV37 @ SV77 )
= SV111 )
= $false )
| ( ( ! [SY460: a] :
( ( SV37 @ ( SV77 @ SY460 ) )
= ( SV111 @ SY460 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(782,plain,
! [SV143: b > a,SV112: a > c > c,SV78: b > a,SV38: a > c > c] :
( ( ( ( ( comp_a_c_c_b @ SV38 @ SV78 )
!= ( comp_a_c_c_b @ SV112 @ SV143 ) ) )
= $true )
| ( ( ! [SY495: b] :
( ( SV38 @ ( SV78 @ SY495 ) )
= ( SV112 @ ( SV143 @ SY495 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[731]) ).
thf(783,plain,
! [SV144: a > a,SV113: a > c > c,SV79: a > a,SV39: a > c > c] :
( ( ( ( ( comp_a_c_c_a @ SV39 @ SV79 )
!= ( comp_a_c_c_a @ SV113 @ SV144 ) ) )
= $true )
| ( ( ! [SY496: a] :
( ( SV39 @ ( SV79 @ SY496 ) )
= ( SV113 @ ( SV144 @ SY496 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[732]) ).
thf(784,plain,
! [SV145: b > a,SV114: a > c > c,SV80: b > a,SV40: a > c > c] :
( ( ( ( ( comp_a_c_c_b @ SV40 @ SV80 )
!= ( comp_a_c_c_b @ SV114 @ SV145 ) ) )
= $true )
| ( ( ! [SY497: b] :
( ( SV40 @ ( SV80 @ SY497 ) )
= ( SV114 @ ( SV145 @ SY497 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[733]) ).
thf(785,plain,
! [SV146: a > a,SV115: a > c > c,SV81: a > a,SV41: a > c > c] :
( ( ( ( ( comp_a_c_c_a @ SV41 @ SV81 )
!= ( comp_a_c_c_a @ SV115 @ SV146 ) ) )
= $true )
| ( ( ! [SY498: a] :
( ( SV41 @ ( SV81 @ SY498 ) )
= ( SV115 @ ( SV146 @ SY498 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[734]) ).
thf(786,plain,
! [SV168: a,SV116: a > a,SV82: a > a,SV42: a > c > c] :
( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV42 @ SV82 ) @ SV116 @ SV168 )
= ( comp_a_c_c_a @ SV42 @ ( comp_a_a_a @ SV82 @ SV116 ) @ SV168 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(787,plain,
! [SV169: a,SV117: a > a,SV83: a > c > c,SV43: ( c > c ) > c > c] :
( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV43 @ SV83 ) @ SV117 @ SV169 )
= ( comp_c_c_c_c_a @ SV43 @ ( comp_a_c_c_a @ SV83 @ SV117 ) @ SV169 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(788,plain,
! [SV149: b > a,SV84: a > c > c] :
( ( ! [SV170: b] :
( ( comp_a_c_c_b @ SV84 @ SV149 @ SV170 )
= ( SV84 @ ( SV149 @ SV170 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[739]) ).
thf(789,plain,
! [SV149: b > a,SV84: a > c > c] :
( ( ( comp_a_c_c_b @ SV84 @ SV149 )
= ( ^ [SY499: b] : ( SV84 @ ( SV149 @ SY499 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[739]) ).
thf(790,plain,
! [SV150: a > a,SV85: a > c > c] :
( ( ! [SV171: a] :
( ( comp_a_c_c_a @ SV85 @ SV150 @ SV171 )
= ( SV85 @ ( SV150 @ SV171 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[740]) ).
thf(791,plain,
! [SV150: a > a,SV85: a > c > c] :
( ( ( comp_a_c_c_a @ SV85 @ SV150 )
= ( ^ [SY500: a] : ( SV85 @ ( SV150 @ SY500 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[740]) ).
thf(792,plain,
! [SV172: b > a,SV151: a > a,SV120: b,SV86: b > a,SV46: a > a] :
( ( ( ( SV46 @ ( SV86 @ SV120 ) )
!= ( SV151 @ ( SV172 @ SV120 ) ) )
| ! [SY512: a > c > c] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY512 @ SV46 ) @ SV86 @ SV120 )
= ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY512 @ SV151 ) @ SV172 @ SV120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(793,plain,
! [SV173: a > a,SV152: a > a,SV121: a,SV87: a > a,SV47: a > a] :
( ( ( ( SV47 @ ( SV87 @ SV121 ) )
!= ( SV152 @ ( SV173 @ SV121 ) ) )
| ! [SY513: a > c > c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY513 @ SV47 ) @ SV87 @ SV121 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY513 @ SV152 ) @ SV173 @ SV121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[742]) ).
thf(794,plain,
! [SV174: a > a,SV153: a > c > c,SV122: a,SV88: a > a,SV48: a > c > c] :
( ( ! [SY514: a] :
( ( ( SV48 @ ( SV88 @ SV122 ) )
!= ( SV153 @ ( SV174 @ SY514 ) ) )
| ( ( comp_a_c_c_a @ SV48 @ SV88 @ SV122 )
= ( comp_a_c_c_a @ SV153 @ SV174 @ SY514 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(795,plain,
! [SV154: a > c > c,SV89: a > a] :
( ( ! [SV175: a > a] :
( ( map_fun_a_a_a_c_c @ SV89 @ SV154 @ SV175 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV154 @ SV175 ) @ SV89 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[744]) ).
thf(796,plain,
! [SV154: a > c > c,SV89: a > a] :
( ( ( map_fun_a_a_a_c_c @ SV89 @ SV154 )
= ( ^ [SY507: a > a] : ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV154 @ SY507 ) @ SV89 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[744]) ).
thf(797,plain,
! [SV90: a > c > c,SV50: a > a] :
( ( ( ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(798,plain,
! [SV91: a > c > c] :
( ( ( ( finite40241358em_a_c @ SV91 )
| ~ ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) ) )
= $false )
| ( ( ~ ( ~ ( finite40241358em_a_c @ SV91 )
| ~ ~ ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(799,plain,
! [SV92: a > c > c,SV52: a > c > c] :
( ( ( ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(800,plain,
! [SV176: c,SV155: a,SV53: a,SV1: a > c > c] :
( ( ( ( SV1 @ SV53 @ ( SV1 @ SV155 @ SV176 ) )
= ( SV1 @ SV155 @ ( SV1 @ SV53 @ SV176 ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[748]) ).
thf(801,plain,
! [SV2: a > c > c,SV93: c > c,SV54: a > c > c] :
( ( ( ~ ( finite746615251te_a_c @ SV54 ) )
= $true )
| ( ( ( ( SV93 @ ( SV54 @ ( sK4_X2 @ SV93 @ SV54 @ SV2 ) @ ( sK5_SY196 @ SV93 @ SV54 @ SV2 ) ) )
!= ( SV2 @ ( sK4_X2 @ SV93 @ SV54 @ SV2 ) @ ( SV93 @ ( sK5_SY196 @ SV93 @ SV54 @ SV2 ) ) ) )
| ! [SY432: c,SY433: multiset_a] :
( ( SV93 @ ( fold_mset_a_c @ SV54 @ SY432 @ SY433 ) )
= ( fold_mset_a_c @ SV2 @ ( SV93 @ SY432 ) @ SY433 ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[749]) ).
thf(802,plain,
! [SV177: multiset_a,SV156: c,SV55: a,SV3: a > c > c] :
( ( ( ( SV3 @ SV55 @ ( fold_mset_a_c @ SV3 @ SV156 @ SV177 ) )
= ( fold_mset_a_c @ SV3 @ ( SV3 @ SV55 @ SV156 ) @ SV177 ) )
= $true )
| ( ( finite746615251te_a_c @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[750]) ).
thf(803,plain,
! [SV178: c,SV94: set_a,SV56: c,SV5: a > c > c] :
( ( ( ~ ( finite1511629768ph_a_c @ SV5 @ SV56 @ SV94 @ SV178 )
| ! [SY515: c] :
( ~ ( finite1511629768ph_a_c @ SV5 @ SV56 @ SV94 @ SY515 )
| ( SY515 = SV178 ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[751]) ).
thf(804,plain,
! [SV179: fset_a,SV157: c,SV57: a,SV6: a > c > c] :
( ( ( ( SV6 @ SV57 @ ( ffold_a_c @ SV6 @ SV157 @ SV179 ) )
= ( ffold_a_c @ SV6 @ ( SV6 @ SV57 @ SV157 ) @ SV179 ) )
= $true )
| ( ( finite746615251te_a_c @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[752]) ).
thf(805,plain,
! [SV58: a > c > c] :
( ( ( finite746615251te_a_c @ SV58 )
= $false )
| ( ( ~ ( ~ ( finite746615251te_a_c @ SV58 )
| ~ ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[753]) ).
thf(806,plain,
! [SV58: a > c > c] :
( ( ( ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) )
= $false )
| ( ( ~ ( ~ ( finite746615251te_a_c @ SV58 )
| ~ ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[753]) ).
thf(807,plain,
! [SV158: a,SV127: a,SV11: a > c > c] :
( ( ( ! [SV180: c] :
( ( comp_c_c_c @ ( SV11 @ SV127 ) @ ( SV11 @ SV158 ) @ SV180 )
= ( comp_c_c_c @ ( SV11 @ SV158 ) @ ( SV11 @ SV127 ) @ SV180 ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[755]) ).
thf(808,plain,
! [SV158: a,SV127: a,SV11: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV11 @ SV127 ) @ ( SV11 @ SV158 ) )
= ( comp_c_c_c @ ( SV11 @ SV158 ) @ ( SV11 @ SV127 ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[755]) ).
thf(809,plain,
! [SV181: multiset_a,SV159: multiset_a,SV59: c,SV13: a > c > c] :
( ( ( ( fold_mset_a_c @ SV13 @ SV59 @ ( plus_plus_multiset_a @ SV159 @ SV181 ) )
= ( fold_mset_a_c @ SV13 @ ( fold_mset_a_c @ SV13 @ SV59 @ SV159 ) @ SV181 ) )
= $true )
| ( ( finite746615251te_a_c @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[757]) ).
thf(810,plain,
! [SV182: c,SV128: a,SV14: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV14 @ SV128 ) @ ( SV14 @ SV128 ) @ SV182 )
= ( SV14 @ SV128 @ SV182 ) )
= $true )
| ( ( finite40241358em_a_c @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[758]) ).
thf(811,plain,
! [SV183: b,SV132: b > a,SV60: a > c > c] :
( ( ( comp_a_c_c_b @ SV60 @ SV132 @ SV183 )
= ( SV60 @ ( SV132 @ SV183 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[761]) ).
thf(812,plain,
! [SV184: a,SV133: a > a,SV61: a > c > c] :
( ( ( comp_a_c_c_a @ SV61 @ SV133 @ SV184 )
= ( SV61 @ ( SV133 @ SV184 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[763]) ).
thf(813,plain,
! [SV62: a > c > c] :
( ( ( finite19304177ms_a_c @ SV62 )
= $false )
| ( ( ~ ( ~ ( finite19304177ms_a_c @ SV62 )
| ~ ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[766]) ).
thf(814,plain,
! [SV62: a > c > c] :
( ( ( ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) )
= $false )
| ( ( ~ ( ~ ( finite19304177ms_a_c @ SV62 )
| ~ ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[766]) ).
thf(815,plain,
! [SV135: a > a,SV97: a > a,SV63: a > a,SV23: a > a] :
( ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false )
| ( ( ! [SY485: a > c > c,SY486: a > c > c] :
( ( ( comp_a_c_c_a @ SY485 @ SV97 )
!= SY486 )
| ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY485 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SY486 @ SV135 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(816,plain,
! [SV136: a > a,SV98: a > c > c,SV64: a > a,SV24: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false )
| ( ( ! [SY487: ( c > c ) > c > c,SY488: a > c > c] :
( ( ( comp_c_c_c_c_a @ SY487 @ SV98 )
!= SY488 )
| ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY487 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SY488 @ SV136 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(817,plain,
! [SV137: b > a,SV99: a > a,SV65: b > a,SV25: a > a] :
( ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false )
| ( ( ! [SY489: a > c > c,SY490: a > c > c] :
( ( ( comp_a_c_c_a @ SY489 @ SV99 )
!= SY490 )
| ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY489 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SY490 @ SV137 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(818,plain,
! [SV138: a > a,SV100: a > c > c,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
= ( comp_a_c_c_a @ SV100 @ SV138 ) )
= $false )
| ( ( ! [SY491: a > a,SY492: a > a] :
( ( ( comp_a_a_a @ SV138 @ SY491 )
!= SY492 )
| ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SY491 ) )
= ( comp_a_c_c_a @ SV100 @ SY492 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(819,plain,
! [SV101: a > a,SV67: a > a,SV27: a > a] :
( ( ( ! [SV185: a] :
( ( comp_a_a_a @ SV27 @ SV67 @ SV185 )
= ( SV101 @ SV185 ) ) )
= $false )
| ( ( ! [SY450: a > c > c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY450 @ SV27 ) @ SV67 )
= ( comp_a_c_c_a @ SY450 @ SV101 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[771]) ).
thf(820,plain,
! [SV101: a > a,SV67: a > a,SV27: a > a] :
( ( ( ( comp_a_a_a @ SV27 @ SV67 )
= SV101 )
= $false )
| ( ( ! [SY450: a > c > c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY450 @ SV27 ) @ SV67 )
= ( comp_a_c_c_a @ SY450 @ SV101 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[771]) ).
thf(821,plain,
! [SV102: a > c > c,SV68: a > a,SV28: a > c > c] :
( ( ( ! [SV186: a] :
( ( comp_a_c_c_a @ SV28 @ SV68 @ SV186 )
= ( SV102 @ SV186 ) ) )
= $false )
| ( ( ! [SY451: ( c > c ) > c > c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY451 @ SV28 ) @ SV68 )
= ( comp_c_c_c_c_a @ SY451 @ SV102 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[772]) ).
thf(822,plain,
! [SV102: a > c > c,SV68: a > a,SV28: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV28 @ SV68 )
= SV102 )
= $false )
| ( ( ! [SY451: ( c > c ) > c > c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY451 @ SV28 ) @ SV68 )
= ( comp_c_c_c_c_a @ SY451 @ SV102 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[772]) ).
thf(823,plain,
! [SV103: a > c > c,SV69: a > a,SV29: a > c > c] :
( ( ( ! [SV187: a] :
( ( comp_a_c_c_a @ SV29 @ SV69 @ SV187 )
= ( SV103 @ SV187 ) ) )
= $false )
| ( ( ! [SY452: a > a] :
( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SY452 ) )
= ( comp_a_c_c_a @ SV103 @ SY452 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[773]) ).
thf(824,plain,
! [SV103: a > c > c,SV69: a > a,SV29: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV29 @ SV69 )
= SV103 )
= $false )
| ( ( ! [SY452: a > a] :
( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SY452 ) )
= ( comp_a_c_c_a @ SV103 @ SY452 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[773]) ).
thf(825,plain,
! [SV104: a > c > c,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ! [SV188: a] :
( ( comp_c_c_c_c_a @ SV30 @ SV70 @ SV188 )
= ( SV104 @ SV188 ) ) )
= $false )
| ( ( ! [SY453: a > a] :
( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SY453 ) )
= ( comp_a_c_c_a @ SV104 @ SY453 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[774]) ).
thf(826,plain,
! [SV104: a > c > c,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 )
= SV104 )
= $false )
| ( ( ! [SY453: a > a] :
( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SY453 ) )
= ( comp_a_c_c_a @ SV104 @ SY453 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[774]) ).
thf(827,plain,
! [SV105: a > c > c,SV71: a > a,SV31: a > c > c] :
( ( ( ! [SV189: a] :
( ( comp_a_c_c_a @ SV31 @ SV71 @ SV189 )
= ( SV105 @ SV189 ) ) )
= $false )
| ( ( ! [SY454: b > a] :
( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SY454 ) )
= ( comp_a_c_c_b @ SV105 @ SY454 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[775]) ).
thf(828,plain,
! [SV105: a > c > c,SV71: a > a,SV31: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV31 @ SV71 )
= SV105 )
= $false )
| ( ( ! [SY454: b > a] :
( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SY454 ) )
= ( comp_a_c_c_b @ SV105 @ SY454 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[775]) ).
thf(829,plain,
! [SV164: a,SV106: a > a,SV72: a > a,SV32: a > c > c] :
( ( ! [SV190: c] :
( ( comp_a_c_c_a @ SV32 @ ( comp_a_a_a @ SV72 @ SV106 ) @ SV164 @ SV190 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV32 @ SV72 ) @ SV106 @ SV164 @ SV190 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[776]) ).
thf(830,plain,
! [SV164: a,SV106: a > a,SV72: a > a,SV32: a > c > c] :
( ( ( comp_a_c_c_a @ SV32 @ ( comp_a_a_a @ SV72 @ SV106 ) @ SV164 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV32 @ SV72 ) @ SV106 @ SV164 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[776]) ).
thf(831,plain,
! [SV165: a,SV107: a > a,SV73: a > c > c,SV33: ( c > c ) > c > c] :
( ( ! [SV191: c] :
( ( comp_c_c_c_c_a @ SV33 @ ( comp_a_c_c_a @ SV73 @ SV107 ) @ SV165 @ SV191 )
= ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV33 @ SV73 ) @ SV107 @ SV165 @ SV191 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[777]) ).
thf(832,plain,
! [SV165: a,SV107: a > a,SV73: a > c > c,SV33: ( c > c ) > c > c] :
( ( ( comp_c_c_c_c_a @ SV33 @ ( comp_a_c_c_a @ SV73 @ SV107 ) @ SV165 )
= ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV33 @ SV73 ) @ SV107 @ SV165 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[777]) ).
thf(833,plain,
! [SV166: b > a,SV141: a > c > c,SV108: b,SV74: b > a,SV34: a > c > c] :
( ( ( ( ( SV34 @ ( SV74 @ SV108 ) )
!= ( SV141 @ ( SV166 @ SV108 ) ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV34 @ SV74 @ SV108 )
= ( comp_a_c_c_b @ SV141 @ SV166 @ SV108 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[778]) ).
thf(834,plain,
! [SV167: a > a,SV142: a > c > c,SV109: a,SV75: a > a,SV35: a > c > c] :
( ( ( ( ( SV35 @ ( SV75 @ SV109 ) )
!= ( SV142 @ ( SV167 @ SV109 ) ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV35 @ SV75 @ SV109 )
= ( comp_a_c_c_a @ SV142 @ SV167 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[779]) ).
thf(835,plain,
! [SV110: b > c > c,SV76: b > a,SV36: a > c > c] :
( ( ( ! [SV192: b] :
( ( comp_a_c_c_b @ SV36 @ SV76 @ SV192 )
= ( SV110 @ SV192 ) ) )
= $false )
| ( ( ! [SY459: b] :
( ( SV36 @ ( SV76 @ SY459 ) )
= ( SV110 @ SY459 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[780]) ).
thf(836,plain,
! [SV110: b > c > c,SV76: b > a,SV36: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV36 @ SV76 )
= SV110 )
= $false )
| ( ( ! [SY459: b] :
( ( SV36 @ ( SV76 @ SY459 ) )
= ( SV110 @ SY459 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[780]) ).
thf(837,plain,
! [SV111: a > c > c,SV77: a > a,SV37: a > c > c] :
( ( ( ! [SV193: a] :
( ( comp_a_c_c_a @ SV37 @ SV77 @ SV193 )
= ( SV111 @ SV193 ) ) )
= $false )
| ( ( ! [SY460: a] :
( ( SV37 @ ( SV77 @ SY460 ) )
= ( SV111 @ SY460 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[781]) ).
thf(838,plain,
! [SV111: a > c > c,SV77: a > a,SV37: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV37 @ SV77 )
= SV111 )
= $false )
| ( ( ! [SY460: a] :
( ( SV37 @ ( SV77 @ SY460 ) )
= ( SV111 @ SY460 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[781]) ).
thf(839,plain,
! [SV143: b > a,SV112: a > c > c,SV78: b > a,SV38: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV38 @ SV78 )
= ( comp_a_c_c_b @ SV112 @ SV143 ) )
= $false )
| ( ( ! [SY495: b] :
( ( SV38 @ ( SV78 @ SY495 ) )
= ( SV112 @ ( SV143 @ SY495 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(840,plain,
! [SV144: a > a,SV113: a > c > c,SV79: a > a,SV39: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV39 @ SV79 )
= ( comp_a_c_c_a @ SV113 @ SV144 ) )
= $false )
| ( ( ! [SY496: a] :
( ( SV39 @ ( SV79 @ SY496 ) )
= ( SV113 @ ( SV144 @ SY496 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(841,plain,
! [SV145: b > a,SV114: a > c > c,SV80: b > a,SV40: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV40 @ SV80 )
= ( comp_a_c_c_b @ SV114 @ SV145 ) )
= $false )
| ( ( ! [SY497: b] :
( ( SV40 @ ( SV80 @ SY497 ) )
= ( SV114 @ ( SV145 @ SY497 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(842,plain,
! [SV146: a > a,SV115: a > c > c,SV81: a > a,SV41: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV41 @ SV81 )
= ( comp_a_c_c_a @ SV115 @ SV146 ) )
= $false )
| ( ( ! [SY498: a] :
( ( SV41 @ ( SV81 @ SY498 ) )
= ( SV115 @ ( SV146 @ SY498 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(843,plain,
! [SV168: a,SV116: a > a,SV82: a > a,SV42: a > c > c] :
( ( ! [SV194: c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV42 @ SV82 ) @ SV116 @ SV168 @ SV194 )
= ( comp_a_c_c_a @ SV42 @ ( comp_a_a_a @ SV82 @ SV116 ) @ SV168 @ SV194 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[786]) ).
thf(844,plain,
! [SV168: a,SV116: a > a,SV82: a > a,SV42: a > c > c] :
( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV42 @ SV82 ) @ SV116 @ SV168 )
= ( comp_a_c_c_a @ SV42 @ ( comp_a_a_a @ SV82 @ SV116 ) @ SV168 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[786]) ).
thf(845,plain,
! [SV169: a,SV117: a > a,SV83: a > c > c,SV43: ( c > c ) > c > c] :
( ( ! [SV195: c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV43 @ SV83 ) @ SV117 @ SV169 @ SV195 )
= ( comp_c_c_c_c_a @ SV43 @ ( comp_a_c_c_a @ SV83 @ SV117 ) @ SV169 @ SV195 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[787]) ).
thf(846,plain,
! [SV169: a,SV117: a > a,SV83: a > c > c,SV43: ( c > c ) > c > c] :
( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV43 @ SV83 ) @ SV117 @ SV169 )
= ( comp_c_c_c_c_a @ SV43 @ ( comp_a_c_c_a @ SV83 @ SV117 ) @ SV169 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[787]) ).
thf(847,plain,
! [SV196: b,SV149: b > a,SV84: a > c > c] :
( ( ( comp_a_c_c_b @ SV84 @ SV149 @ SV196 )
= ( SV84 @ ( SV149 @ SV196 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(848,plain,
! [SV197: a,SV150: a > a,SV85: a > c > c] :
( ( ( comp_a_c_c_a @ SV85 @ SV150 @ SV197 )
= ( SV85 @ ( SV150 @ SV197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[790]) ).
thf(849,plain,
! [SV172: b > a,SV151: a > a,SV120: b,SV86: b > a,SV46: a > a] :
( ( ( ( ( SV46 @ ( SV86 @ SV120 ) )
!= ( SV151 @ ( SV172 @ SV120 ) ) ) )
= $true )
| ( ( ! [SY512: a > c > c] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY512 @ SV46 ) @ SV86 @ SV120 )
= ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY512 @ SV151 ) @ SV172 @ SV120 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[792]) ).
thf(850,plain,
! [SV173: a > a,SV152: a > a,SV121: a,SV87: a > a,SV47: a > a] :
( ( ( ( ( SV47 @ ( SV87 @ SV121 ) )
!= ( SV152 @ ( SV173 @ SV121 ) ) ) )
= $true )
| ( ( ! [SY513: a > c > c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY513 @ SV47 ) @ SV87 @ SV121 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY513 @ SV152 ) @ SV173 @ SV121 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[793]) ).
thf(851,plain,
! [SV198: a,SV174: a > a,SV153: a > c > c,SV122: a,SV88: a > a,SV48: a > c > c] :
( ( ( ( SV48 @ ( SV88 @ SV122 ) )
!= ( SV153 @ ( SV174 @ SV198 ) ) )
| ( ( comp_a_c_c_a @ SV48 @ SV88 @ SV122 )
= ( comp_a_c_c_a @ SV153 @ SV174 @ SV198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[794]) ).
thf(852,plain,
! [SV199: a > a,SV154: a > c > c,SV89: a > a] :
( ( ( map_fun_a_a_a_c_c @ SV89 @ SV154 @ SV199 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV154 @ SV199 ) @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(853,plain,
! [SV90: a > c > c,SV50: a > a] :
( ( ( ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[797]) ).
thf(854,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[797]) ).
thf(855,plain,
! [SV91: a > c > c] :
( ( ( finite40241358em_a_c @ SV91 )
= $false )
| ( ( ~ ( ~ ( finite40241358em_a_c @ SV91 )
| ~ ~ ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[798]) ).
thf(856,plain,
! [SV91: a > c > c] :
( ( ( ~ ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) ) )
= $false )
| ( ( ~ ( ~ ( finite40241358em_a_c @ SV91 )
| ~ ~ ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[798]) ).
thf(857,plain,
! [SV92: a > c > c,SV52: a > c > c] :
( ( ( ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[799]) ).
thf(858,plain,
! [SV52: a > c > c,SV92: a > c > c] :
( ( ( ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[799]) ).
thf(859,plain,
! [SV2: a > c > c,SV93: c > c,SV54: a > c > c] :
( ( ( finite746615251te_a_c @ SV54 )
= $false )
| ( ( ( ( SV93 @ ( SV54 @ ( sK4_X2 @ SV93 @ SV54 @ SV2 ) @ ( sK5_SY196 @ SV93 @ SV54 @ SV2 ) ) )
!= ( SV2 @ ( sK4_X2 @ SV93 @ SV54 @ SV2 ) @ ( SV93 @ ( sK5_SY196 @ SV93 @ SV54 @ SV2 ) ) ) )
| ! [SY432: c,SY433: multiset_a] :
( ( SV93 @ ( fold_mset_a_c @ SV54 @ SY432 @ SY433 ) )
= ( fold_mset_a_c @ SV2 @ ( SV93 @ SY432 ) @ SY433 ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(860,plain,
! [SV178: c,SV94: set_a,SV56: c,SV5: a > c > c] :
( ( ( ~ ( finite1511629768ph_a_c @ SV5 @ SV56 @ SV94 @ SV178 ) )
= $true )
| ( ( ! [SY515: c] :
( ~ ( finite1511629768ph_a_c @ SV5 @ SV56 @ SV94 @ SY515 )
| ( SY515 = SV178 ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[803]) ).
thf(861,plain,
! [SV58: a > c > c] :
( ( ( ~ ( finite746615251te_a_c @ SV58 )
| ~ ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) )
= $false )
| ( ( finite746615251te_a_c @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[805]) ).
thf(862,plain,
! [SV58: a > c > c] :
( ( ( ! [SY516: a] :
( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ SY516 ) )
= ( comp_c_c_c @ ( SV58 @ SY516 ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( finite746615251te_a_c @ SV58 )
| ~ ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[806]) ).
thf(863,plain,
! [SV200: c,SV158: a,SV127: a,SV11: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV11 @ SV127 ) @ ( SV11 @ SV158 ) @ SV200 )
= ( comp_c_c_c @ ( SV11 @ SV158 ) @ ( SV11 @ SV127 ) @ SV200 ) )
= $true )
| ( ( finite746615251te_a_c @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[807]) ).
thf(864,plain,
! [SV183: b,SV132: b > a,SV60: a > c > c] :
( ( ! [SV201: c] :
( ( comp_a_c_c_b @ SV60 @ SV132 @ SV183 @ SV201 )
= ( SV60 @ ( SV132 @ SV183 ) @ SV201 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[811]) ).
thf(865,plain,
! [SV183: b,SV132: b > a,SV60: a > c > c] :
( ( ( comp_a_c_c_b @ SV60 @ SV132 @ SV183 )
= ( SV60 @ ( SV132 @ SV183 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[811]) ).
thf(866,plain,
! [SV184: a,SV133: a > a,SV61: a > c > c] :
( ( ! [SV202: c] :
( ( comp_a_c_c_a @ SV61 @ SV133 @ SV184 @ SV202 )
= ( SV61 @ ( SV133 @ SV184 ) @ SV202 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[812]) ).
thf(867,plain,
! [SV184: a,SV133: a > a,SV61: a > c > c] :
( ( ( comp_a_c_c_a @ SV61 @ SV133 @ SV184 )
= ( SV61 @ ( SV133 @ SV184 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[812]) ).
thf(868,plain,
! [SV62: a > c > c] :
( ( ( ~ ( finite19304177ms_a_c @ SV62 )
| ~ ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) )
= $false )
| ( ( finite19304177ms_a_c @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[813]) ).
thf(869,plain,
! [SV62: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= $false )
| ( ( ~ ( ~ ( finite19304177ms_a_c @ SV62 )
| ~ ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[814]) ).
thf(870,plain,
! [SV135: a > a,SV97: a > a,SV63: a > a,SV23: a > a] :
( ( ( ! [SV203: a] :
( ( comp_a_a_a @ SV23 @ SV63 @ SV203 )
= ( comp_a_a_a @ SV97 @ SV135 @ SV203 ) ) )
= $false )
| ( ( ! [SY485: a > c > c,SY486: a > c > c] :
( ( ( comp_a_c_c_a @ SY485 @ SV97 )
!= SY486 )
| ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY485 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SY486 @ SV135 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[815]) ).
thf(871,plain,
! [SV135: a > a,SV97: a > a,SV63: a > a,SV23: a > a] :
( ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false )
| ( ( ! [SY485: a > c > c,SY486: a > c > c] :
( ( ( comp_a_c_c_a @ SY485 @ SV97 )
!= SY486 )
| ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY485 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SY486 @ SV135 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[815]) ).
thf(872,plain,
! [SV136: a > a,SV98: a > c > c,SV64: a > a,SV24: a > c > c] :
( ( ( ! [SV204: a] :
( ( comp_a_c_c_a @ SV24 @ SV64 @ SV204 )
= ( comp_a_c_c_a @ SV98 @ SV136 @ SV204 ) ) )
= $false )
| ( ( ! [SY487: ( c > c ) > c > c,SY488: a > c > c] :
( ( ( comp_c_c_c_c_a @ SY487 @ SV98 )
!= SY488 )
| ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY487 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SY488 @ SV136 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[816]) ).
thf(873,plain,
! [SV136: a > a,SV98: a > c > c,SV64: a > a,SV24: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false )
| ( ( ! [SY487: ( c > c ) > c > c,SY488: a > c > c] :
( ( ( comp_c_c_c_c_a @ SY487 @ SV98 )
!= SY488 )
| ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY487 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SY488 @ SV136 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[816]) ).
thf(874,plain,
! [SV137: b > a,SV99: a > a,SV65: b > a,SV25: a > a] :
( ( ( ! [SV205: b] :
( ( comp_a_a_b @ SV25 @ SV65 @ SV205 )
= ( comp_a_a_b @ SV99 @ SV137 @ SV205 ) ) )
= $false )
| ( ( ! [SY489: a > c > c,SY490: a > c > c] :
( ( ( comp_a_c_c_a @ SY489 @ SV99 )
!= SY490 )
| ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY489 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SY490 @ SV137 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[817]) ).
thf(875,plain,
! [SV137: b > a,SV99: a > a,SV65: b > a,SV25: a > a] :
( ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false )
| ( ( ! [SY489: a > c > c,SY490: a > c > c] :
( ( ( comp_a_c_c_a @ SY489 @ SV99 )
!= SY490 )
| ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY489 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SY490 @ SV137 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[817]) ).
thf(876,plain,
! [SV138: a > a,SV100: a > c > c,SV66: a > a,SV26: a > c > c] :
( ( ( ! [SV206: a] :
( ( comp_a_c_c_a @ SV26 @ SV66 @ SV206 )
= ( comp_a_c_c_a @ SV100 @ SV138 @ SV206 ) ) )
= $false )
| ( ( ! [SY491: a > a,SY492: a > a] :
( ( ( comp_a_a_a @ SV138 @ SY491 )
!= SY492 )
| ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SY491 ) )
= ( comp_a_c_c_a @ SV100 @ SY492 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[818]) ).
thf(877,plain,
! [SV138: a > a,SV100: a > c > c,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
= ( comp_a_c_c_a @ SV100 @ SV138 ) )
= $false )
| ( ( ! [SY491: a > a,SY492: a > a] :
( ( ( comp_a_a_a @ SV138 @ SY491 )
!= SY492 )
| ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SY491 ) )
= ( comp_a_c_c_a @ SV100 @ SY492 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[818]) ).
thf(878,plain,
! [SV101: a > a,SV67: a > a,SV27: a > a] :
( ( ( ( comp_a_a_a @ SV27 @ SV67 @ ( sK10_SV185 @ SV101 @ SV67 @ SV27 ) )
= ( SV101 @ ( sK10_SV185 @ SV101 @ SV67 @ SV27 ) ) )
= $false )
| ( ( ! [SY450: a > c > c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY450 @ SV27 ) @ SV67 )
= ( comp_a_c_c_a @ SY450 @ SV101 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[819]) ).
thf(879,plain,
! [SV101: a > a,SV67: a > a,SV27: a > a,SV207: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV207 @ SV27 ) @ SV67 )
= ( comp_a_c_c_a @ SV207 @ SV101 ) )
= $true )
| ( ( ( comp_a_a_a @ SV27 @ SV67 )
= SV101 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[820]) ).
thf(880,plain,
! [SV102: a > c > c,SV68: a > a,SV28: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV28 @ SV68 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) )
= ( SV102 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) ) )
= $false )
| ( ( ! [SY451: ( c > c ) > c > c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY451 @ SV28 ) @ SV68 )
= ( comp_c_c_c_c_a @ SY451 @ SV102 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[821]) ).
thf(881,plain,
! [SV102: a > c > c,SV68: a > a,SV28: a > c > c,SV208: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV208 @ SV28 ) @ SV68 )
= ( comp_c_c_c_c_a @ SV208 @ SV102 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV28 @ SV68 )
= SV102 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[822]) ).
thf(882,plain,
! [SV103: a > c > c,SV69: a > a,SV29: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV29 @ SV69 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) )
= ( SV103 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) ) )
= $false )
| ( ( ! [SY452: a > a] :
( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SY452 ) )
= ( comp_a_c_c_a @ SV103 @ SY452 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[823]) ).
thf(883,plain,
! [SV103: a > c > c,SV209: a > a,SV69: a > a,SV29: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SV209 ) )
= ( comp_a_c_c_a @ SV103 @ SV209 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV29 @ SV69 )
= SV103 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[824]) ).
thf(884,plain,
! [SV104: a > c > c,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) )
= ( SV104 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) ) )
= $false )
| ( ( ! [SY453: a > a] :
( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SY453 ) )
= ( comp_a_c_c_a @ SV104 @ SY453 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[825]) ).
thf(885,plain,
! [SV104: a > c > c,SV210: a > a,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SV210 ) )
= ( comp_a_c_c_a @ SV104 @ SV210 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 )
= SV104 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[826]) ).
thf(886,plain,
! [SV105: a > c > c,SV71: a > a,SV31: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV31 @ SV71 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) )
= ( SV105 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) ) )
= $false )
| ( ( ! [SY454: b > a] :
( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SY454 ) )
= ( comp_a_c_c_b @ SV105 @ SY454 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[827]) ).
thf(887,plain,
! [SV105: a > c > c,SV211: b > a,SV71: a > a,SV31: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SV211 ) )
= ( comp_a_c_c_b @ SV105 @ SV211 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV31 @ SV71 )
= SV105 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[828]) ).
thf(888,plain,
! [SV212: c,SV164: a,SV106: a > a,SV72: a > a,SV32: a > c > c] :
( ( ( comp_a_c_c_a @ SV32 @ ( comp_a_a_a @ SV72 @ SV106 ) @ SV164 @ SV212 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV32 @ SV72 ) @ SV106 @ SV164 @ SV212 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[829]) ).
thf(889,plain,
! [SV213: c,SV165: a,SV107: a > a,SV73: a > c > c,SV33: ( c > c ) > c > c] :
( ( ( comp_c_c_c_c_a @ SV33 @ ( comp_a_c_c_a @ SV73 @ SV107 ) @ SV165 @ SV213 )
= ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV33 @ SV73 ) @ SV107 @ SV165 @ SV213 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[831]) ).
thf(890,plain,
! [SV166: b > a,SV141: a > c > c,SV108: b,SV74: b > a,SV34: a > c > c] :
( ( ( ( SV34 @ ( SV74 @ SV108 ) )
= ( SV141 @ ( SV166 @ SV108 ) ) )
= $false )
| ( ( ( comp_a_c_c_b @ SV34 @ SV74 @ SV108 )
= ( comp_a_c_c_b @ SV141 @ SV166 @ SV108 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(891,plain,
! [SV167: a > a,SV142: a > c > c,SV109: a,SV75: a > a,SV35: a > c > c] :
( ( ( ( SV35 @ ( SV75 @ SV109 ) )
= ( SV142 @ ( SV167 @ SV109 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV35 @ SV75 @ SV109 )
= ( comp_a_c_c_a @ SV142 @ SV167 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(892,plain,
! [SV110: b > c > c,SV76: b > a,SV36: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV36 @ SV76 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) )
= ( SV110 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) ) )
= $false )
| ( ( ! [SY459: b] :
( ( SV36 @ ( SV76 @ SY459 ) )
= ( SV110 @ SY459 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[835]) ).
thf(893,plain,
! [SV110: b > c > c,SV214: b,SV76: b > a,SV36: a > c > c] :
( ( ( ( SV36 @ ( SV76 @ SV214 ) )
= ( SV110 @ SV214 ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV36 @ SV76 )
= SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(894,plain,
! [SV111: a > c > c,SV77: a > a,SV37: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV37 @ SV77 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) )
= ( SV111 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) ) )
= $false )
| ( ( ! [SY460: a] :
( ( SV37 @ ( SV77 @ SY460 ) )
= ( SV111 @ SY460 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[837]) ).
thf(895,plain,
! [SV111: a > c > c,SV215: a,SV77: a > a,SV37: a > c > c] :
( ( ( ( SV37 @ ( SV77 @ SV215 ) )
= ( SV111 @ SV215 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV37 @ SV77 )
= SV111 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(896,plain,
! [SV143: b > a,SV112: a > c > c,SV78: b > a,SV38: a > c > c] :
( ( ( ! [SV216: b] :
( ( comp_a_c_c_b @ SV38 @ SV78 @ SV216 )
= ( comp_a_c_c_b @ SV112 @ SV143 @ SV216 ) ) )
= $false )
| ( ( ! [SY495: b] :
( ( SV38 @ ( SV78 @ SY495 ) )
= ( SV112 @ ( SV143 @ SY495 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[839]) ).
thf(897,plain,
! [SV143: b > a,SV112: a > c > c,SV78: b > a,SV38: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV38 @ SV78 )
= ( comp_a_c_c_b @ SV112 @ SV143 ) )
= $false )
| ( ( ! [SY495: b] :
( ( SV38 @ ( SV78 @ SY495 ) )
= ( SV112 @ ( SV143 @ SY495 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[839]) ).
thf(898,plain,
! [SV144: a > a,SV113: a > c > c,SV79: a > a,SV39: a > c > c] :
( ( ( ! [SV217: a] :
( ( comp_a_c_c_a @ SV39 @ SV79 @ SV217 )
= ( comp_a_c_c_a @ SV113 @ SV144 @ SV217 ) ) )
= $false )
| ( ( ! [SY496: a] :
( ( SV39 @ ( SV79 @ SY496 ) )
= ( SV113 @ ( SV144 @ SY496 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[840]) ).
thf(899,plain,
! [SV144: a > a,SV113: a > c > c,SV79: a > a,SV39: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV39 @ SV79 )
= ( comp_a_c_c_a @ SV113 @ SV144 ) )
= $false )
| ( ( ! [SY496: a] :
( ( SV39 @ ( SV79 @ SY496 ) )
= ( SV113 @ ( SV144 @ SY496 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[840]) ).
thf(900,plain,
! [SV145: b > a,SV114: a > c > c,SV80: b > a,SV40: a > c > c] :
( ( ( ! [SV218: b] :
( ( comp_a_c_c_b @ SV40 @ SV80 @ SV218 )
= ( comp_a_c_c_b @ SV114 @ SV145 @ SV218 ) ) )
= $false )
| ( ( ! [SY497: b] :
( ( SV40 @ ( SV80 @ SY497 ) )
= ( SV114 @ ( SV145 @ SY497 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[841]) ).
thf(901,plain,
! [SV145: b > a,SV114: a > c > c,SV80: b > a,SV40: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV40 @ SV80 )
= ( comp_a_c_c_b @ SV114 @ SV145 ) )
= $false )
| ( ( ! [SY497: b] :
( ( SV40 @ ( SV80 @ SY497 ) )
= ( SV114 @ ( SV145 @ SY497 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[841]) ).
thf(902,plain,
! [SV146: a > a,SV115: a > c > c,SV81: a > a,SV41: a > c > c] :
( ( ( ! [SV219: a] :
( ( comp_a_c_c_a @ SV41 @ SV81 @ SV219 )
= ( comp_a_c_c_a @ SV115 @ SV146 @ SV219 ) ) )
= $false )
| ( ( ! [SY498: a] :
( ( SV41 @ ( SV81 @ SY498 ) )
= ( SV115 @ ( SV146 @ SY498 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[842]) ).
thf(903,plain,
! [SV146: a > a,SV115: a > c > c,SV81: a > a,SV41: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV41 @ SV81 )
= ( comp_a_c_c_a @ SV115 @ SV146 ) )
= $false )
| ( ( ! [SY498: a] :
( ( SV41 @ ( SV81 @ SY498 ) )
= ( SV115 @ ( SV146 @ SY498 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[842]) ).
thf(904,plain,
! [SV220: c,SV168: a,SV116: a > a,SV82: a > a,SV42: a > c > c] :
( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV42 @ SV82 ) @ SV116 @ SV168 @ SV220 )
= ( comp_a_c_c_a @ SV42 @ ( comp_a_a_a @ SV82 @ SV116 ) @ SV168 @ SV220 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[843]) ).
thf(905,plain,
! [SV221: c,SV169: a,SV117: a > a,SV83: a > c > c,SV43: ( c > c ) > c > c] :
( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV43 @ SV83 ) @ SV117 @ SV169 @ SV221 )
= ( comp_c_c_c_c_a @ SV43 @ ( comp_a_c_c_a @ SV83 @ SV117 ) @ SV169 @ SV221 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[845]) ).
thf(906,plain,
! [SV196: b,SV149: b > a,SV84: a > c > c] :
( ( ! [SV222: c] :
( ( comp_a_c_c_b @ SV84 @ SV149 @ SV196 @ SV222 )
= ( SV84 @ ( SV149 @ SV196 ) @ SV222 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[847]) ).
thf(907,plain,
! [SV196: b,SV149: b > a,SV84: a > c > c] :
( ( ( comp_a_c_c_b @ SV84 @ SV149 @ SV196 )
= ( SV84 @ ( SV149 @ SV196 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[847]) ).
thf(908,plain,
! [SV197: a,SV150: a > a,SV85: a > c > c] :
( ( ! [SV223: c] :
( ( comp_a_c_c_a @ SV85 @ SV150 @ SV197 @ SV223 )
= ( SV85 @ ( SV150 @ SV197 ) @ SV223 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[848]) ).
thf(909,plain,
! [SV197: a,SV150: a > a,SV85: a > c > c] :
( ( ( comp_a_c_c_a @ SV85 @ SV150 @ SV197 )
= ( SV85 @ ( SV150 @ SV197 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[848]) ).
thf(910,plain,
! [SV172: b > a,SV151: a > a,SV120: b,SV86: b > a,SV46: a > a] :
( ( ( ( SV46 @ ( SV86 @ SV120 ) )
= ( SV151 @ ( SV172 @ SV120 ) ) )
= $false )
| ( ( ! [SY512: a > c > c] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY512 @ SV46 ) @ SV86 @ SV120 )
= ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY512 @ SV151 ) @ SV172 @ SV120 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(911,plain,
! [SV173: a > a,SV152: a > a,SV121: a,SV87: a > a,SV47: a > a] :
( ( ( ( SV47 @ ( SV87 @ SV121 ) )
= ( SV152 @ ( SV173 @ SV121 ) ) )
= $false )
| ( ( ! [SY513: a > c > c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY513 @ SV47 ) @ SV87 @ SV121 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY513 @ SV152 ) @ SV173 @ SV121 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(912,plain,
! [SV198: a,SV174: a > a,SV153: a > c > c,SV122: a,SV88: a > a,SV48: a > c > c] :
( ( ( ( ( SV48 @ ( SV88 @ SV122 ) )
!= ( SV153 @ ( SV174 @ SV198 ) ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV48 @ SV88 @ SV122 )
= ( comp_a_c_c_a @ SV153 @ SV174 @ SV198 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[851]) ).
thf(913,plain,
! [SV199: a > a,SV154: a > c > c,SV89: a > a] :
( ( ! [SV224: a] :
( ( map_fun_a_a_a_c_c @ SV89 @ SV154 @ SV199 @ SV224 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV154 @ SV199 ) @ SV89 @ SV224 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[852]) ).
thf(914,plain,
! [SV199: a > a,SV154: a > c > c,SV89: a > a] :
( ( ( map_fun_a_a_a_c_c @ SV89 @ SV154 @ SV199 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV154 @ SV199 ) @ SV89 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[852]) ).
thf(915,plain,
! [SV90: a > c > c,SV50: a > a] :
( ( ( ! [SY517: a] :
( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
!= ( SV50 @ SY517 ) )
| ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ SY517 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[853]) ).
thf(916,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[854]) ).
thf(917,plain,
! [SV91: a > c > c] :
( ( ( ~ ( finite40241358em_a_c @ SV91 )
| ~ ~ ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) ) )
= $false )
| ( ( finite40241358em_a_c @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(918,plain,
! [SV91: a > c > c] :
( ( ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) )
= $true )
| ( ( ~ ( ~ ( finite40241358em_a_c @ SV91 )
| ~ ~ ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[856]) ).
thf(919,plain,
! [SV92: a > c > c,SV52: a > c > c] :
( ( ( ~ ! [SY518: a] :
( ( SV52 @ SY518 )
!= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[857]) ).
thf(920,plain,
! [SV52: a > c > c,SV92: a > c > c] :
( ( ( ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[858]) ).
thf(921,plain,
! [SV2: a > c > c,SV54: a > c > c,SV93: c > c] :
( ( ( ( ( SV93 @ ( SV54 @ ( sK4_X2 @ SV93 @ SV54 @ SV2 ) @ ( sK5_SY196 @ SV93 @ SV54 @ SV2 ) ) )
!= ( SV2 @ ( sK4_X2 @ SV93 @ SV54 @ SV2 ) @ ( SV93 @ ( sK5_SY196 @ SV93 @ SV54 @ SV2 ) ) ) ) )
= $true )
| ( ( ! [SY432: c,SY433: multiset_a] :
( ( SV93 @ ( fold_mset_a_c @ SV54 @ SY432 @ SY433 ) )
= ( fold_mset_a_c @ SV2 @ ( SV93 @ SY432 ) @ SY433 ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV54 )
= $false )
| ( ( finite746615251te_a_c @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[859]) ).
thf(922,plain,
! [SV178: c,SV94: set_a,SV56: c,SV5: a > c > c] :
( ( ( finite1511629768ph_a_c @ SV5 @ SV56 @ SV94 @ SV178 )
= $false )
| ( ( ! [SY515: c] :
( ~ ( finite1511629768ph_a_c @ SV5 @ SV56 @ SV94 @ SY515 )
| ( SY515 = SV178 ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[860]) ).
thf(923,plain,
! [SV58: a > c > c] :
( ( ( ~ ( finite746615251te_a_c @ SV58 ) )
= $false )
| ( ( finite746615251te_a_c @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[861]) ).
thf(924,plain,
! [SV58: a > c > c] :
( ( ( ~ ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) )
= $false )
| ( ( finite746615251te_a_c @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[861]) ).
thf(925,plain,
! [SV58: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) ) )
= $false )
| ( ( ~ ( ~ ( finite746615251te_a_c @ SV58 )
| ~ ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[862]) ).
thf(926,plain,
! [SV225: c,SV183: b,SV132: b > a,SV60: a > c > c] :
( ( ( comp_a_c_c_b @ SV60 @ SV132 @ SV183 @ SV225 )
= ( SV60 @ ( SV132 @ SV183 ) @ SV225 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(927,plain,
! [SV226: c,SV184: a,SV133: a > a,SV61: a > c > c] :
( ( ( comp_a_c_c_a @ SV61 @ SV133 @ SV184 @ SV226 )
= ( SV61 @ ( SV133 @ SV184 ) @ SV226 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[866]) ).
thf(928,plain,
! [SV62: a > c > c] :
( ( ( ~ ( finite19304177ms_a_c @ SV62 ) )
= $false )
| ( ( finite19304177ms_a_c @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[868]) ).
thf(929,plain,
! [SV62: a > c > c] :
( ( ( ~ ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) )
= $false )
| ( ( finite19304177ms_a_c @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[868]) ).
thf(930,plain,
! [SV62: a > c > c] :
( ( ( ! [SV227: c] :
( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ SV227 )
= ( SV62 @ ( sK9_SY355 @ SV62 ) @ SV227 ) ) )
= $false )
| ( ( ~ ( ~ ( finite19304177ms_a_c @ SV62 )
| ~ ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[869]) ).
thf(931,plain,
! [SV62: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= $false )
| ( ( ~ ( ~ ( finite19304177ms_a_c @ SV62 )
| ~ ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[869]) ).
thf(932,plain,
! [SV97: a > a,SV135: a > a,SV63: a > a,SV23: a > a] :
( ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false )
| ( ( ! [SY485: a > c > c,SY486: a > c > c] :
( ( ( comp_a_c_c_a @ SY485 @ SV97 )
!= SY486 )
| ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SY485 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SY486 @ SV135 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[870]) ).
thf(933,plain,
! [SV135: a > a,SV63: a > a,SV23: a > a,SV97: a > a,SV228: a > c > c] :
( ( ( ! [SY519: a > c > c] :
( ( ( comp_a_c_c_a @ SV228 @ SV97 )
!= SY519 )
| ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SY519 @ SV135 ) ) ) )
= $true )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[871]) ).
thf(934,plain,
! [SV98: a > c > c,SV136: a > a,SV64: a > a,SV24: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false )
| ( ( ! [SY487: ( c > c ) > c > c,SY488: a > c > c] :
( ( ( comp_c_c_c_c_a @ SY487 @ SV98 )
!= SY488 )
| ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY487 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SY488 @ SV136 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[872]) ).
thf(935,plain,
! [SV136: a > a,SV64: a > a,SV24: a > c > c,SV98: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ! [SY520: a > c > c] :
( ( ( comp_c_c_c_c_a @ SV229 @ SV98 )
!= SY520 )
| ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SY520 @ SV136 ) ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[873]) ).
thf(936,plain,
! [SV99: a > a,SV137: b > a,SV65: b > a,SV25: a > a] :
( ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false )
| ( ( ! [SY489: a > c > c,SY490: a > c > c] :
( ( ( comp_a_c_c_a @ SY489 @ SV99 )
!= SY490 )
| ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SY489 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SY490 @ SV137 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[874]) ).
thf(937,plain,
! [SV137: b > a,SV65: b > a,SV25: a > a,SV99: a > a,SV230: a > c > c] :
( ( ( ! [SY521: a > c > c] :
( ( ( comp_a_c_c_a @ SV230 @ SV99 )
!= SY521 )
| ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SY521 @ SV137 ) ) ) )
= $true )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(938,plain,
! [SV100: a > c > c,SV138: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) ) )
= $false )
| ( ( ! [SY491: a > a,SY492: a > a] :
( ( ( comp_a_a_a @ SV138 @ SY491 )
!= SY492 )
| ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SY491 ) )
= ( comp_a_c_c_a @ SV100 @ SY492 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[876]) ).
thf(939,plain,
! [SV100: a > c > c,SV66: a > a,SV26: a > c > c,SV231: a > a,SV138: a > a] :
( ( ( ! [SY522: a > a] :
( ( ( comp_a_a_a @ SV138 @ SV231 )
!= SY522 )
| ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV231 ) )
= ( comp_a_c_c_a @ SV100 @ SY522 ) ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
= ( comp_a_c_c_a @ SV100 @ SV138 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[877]) ).
thf(940,plain,
! [SV101: a > a,SV67: a > a,SV27: a > a,SV232: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV232 @ SV27 ) @ SV67 )
= ( comp_a_c_c_a @ SV232 @ SV101 ) )
= $true )
| ( ( ( comp_a_a_a @ SV27 @ SV67 @ ( sK10_SV185 @ SV101 @ SV67 @ SV27 ) )
= ( SV101 @ ( sK10_SV185 @ SV101 @ SV67 @ SV27 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[878]) ).
thf(941,plain,
! [SV101: a > a,SV67: a > a,SV27: a > a,SV207: a > c > c] :
( ( ( ! [SV233: a] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV207 @ SV27 ) @ SV67 @ SV233 )
= ( comp_a_c_c_a @ SV207 @ SV101 @ SV233 ) ) )
= $true )
| ( ( ( comp_a_a_a @ SV27 @ SV67 )
= SV101 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[879]) ).
thf(942,plain,
! [SV101: a > a,SV67: a > a,SV27: a > a,SV207: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV207 @ SV27 ) @ SV67 )
= ( comp_a_c_c_a @ SV207 @ SV101 ) )
= $true )
| ( ( ( comp_a_a_a @ SV27 @ SV67 )
= SV101 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[879]) ).
thf(943,plain,
! [SV102: a > c > c,SV68: a > a,SV28: a > c > c] :
( ( ( ! [SV234: c] :
( ( comp_a_c_c_a @ SV28 @ SV68 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) @ SV234 )
= ( SV102 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) @ SV234 ) ) )
= $false )
| ( ( ! [SY451: ( c > c ) > c > c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY451 @ SV28 ) @ SV68 )
= ( comp_c_c_c_c_a @ SY451 @ SV102 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[880]) ).
thf(944,plain,
! [SV102: a > c > c,SV68: a > a,SV28: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV28 @ SV68 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) )
= ( SV102 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) ) )
= $false )
| ( ( ! [SY451: ( c > c ) > c > c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY451 @ SV28 ) @ SV68 )
= ( comp_c_c_c_c_a @ SY451 @ SV102 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[880]) ).
thf(945,plain,
! [SV102: a > c > c,SV68: a > a,SV28: a > c > c,SV208: ( c > c ) > c > c] :
( ( ( ! [SV235: a] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV208 @ SV28 ) @ SV68 @ SV235 )
= ( comp_c_c_c_c_a @ SV208 @ SV102 @ SV235 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV28 @ SV68 )
= SV102 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[881]) ).
thf(946,plain,
! [SV102: a > c > c,SV68: a > a,SV28: a > c > c,SV208: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV208 @ SV28 ) @ SV68 )
= ( comp_c_c_c_c_a @ SV208 @ SV102 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV28 @ SV68 )
= SV102 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[881]) ).
thf(947,plain,
! [SV103: a > c > c,SV69: a > a,SV29: a > c > c] :
( ( ( ! [SV236: c] :
( ( comp_a_c_c_a @ SV29 @ SV69 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) @ SV236 )
= ( SV103 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) @ SV236 ) ) )
= $false )
| ( ( ! [SY452: a > a] :
( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SY452 ) )
= ( comp_a_c_c_a @ SV103 @ SY452 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[882]) ).
thf(948,plain,
! [SV103: a > c > c,SV69: a > a,SV29: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV29 @ SV69 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) )
= ( SV103 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) ) )
= $false )
| ( ( ! [SY452: a > a] :
( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SY452 ) )
= ( comp_a_c_c_a @ SV103 @ SY452 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[882]) ).
thf(949,plain,
! [SV103: a > c > c,SV209: a > a,SV69: a > a,SV29: a > c > c] :
( ( ( ! [SV237: a] :
( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SV209 ) @ SV237 )
= ( comp_a_c_c_a @ SV103 @ SV209 @ SV237 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV29 @ SV69 )
= SV103 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[883]) ).
thf(950,plain,
! [SV103: a > c > c,SV209: a > a,SV69: a > a,SV29: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SV209 ) )
= ( comp_a_c_c_a @ SV103 @ SV209 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV29 @ SV69 )
= SV103 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[883]) ).
thf(951,plain,
! [SV104: a > c > c,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ! [SV238: c] :
( ( comp_c_c_c_c_a @ SV30 @ SV70 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) @ SV238 )
= ( SV104 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) @ SV238 ) ) )
= $false )
| ( ( ! [SY453: a > a] :
( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SY453 ) )
= ( comp_a_c_c_a @ SV104 @ SY453 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[884]) ).
thf(952,plain,
! [SV104: a > c > c,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) )
= ( SV104 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) ) )
= $false )
| ( ( ! [SY453: a > a] :
( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SY453 ) )
= ( comp_a_c_c_a @ SV104 @ SY453 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[884]) ).
thf(953,plain,
! [SV104: a > c > c,SV210: a > a,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ! [SV239: a] :
( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SV210 ) @ SV239 )
= ( comp_a_c_c_a @ SV104 @ SV210 @ SV239 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 )
= SV104 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[885]) ).
thf(954,plain,
! [SV104: a > c > c,SV210: a > a,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SV210 ) )
= ( comp_a_c_c_a @ SV104 @ SV210 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 )
= SV104 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[885]) ).
thf(955,plain,
! [SV105: a > c > c,SV71: a > a,SV31: a > c > c] :
( ( ( ! [SV240: c] :
( ( comp_a_c_c_a @ SV31 @ SV71 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) @ SV240 )
= ( SV105 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) @ SV240 ) ) )
= $false )
| ( ( ! [SY454: b > a] :
( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SY454 ) )
= ( comp_a_c_c_b @ SV105 @ SY454 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[886]) ).
thf(956,plain,
! [SV105: a > c > c,SV71: a > a,SV31: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV31 @ SV71 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) )
= ( SV105 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) ) )
= $false )
| ( ( ! [SY454: b > a] :
( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SY454 ) )
= ( comp_a_c_c_b @ SV105 @ SY454 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[886]) ).
thf(957,plain,
! [SV105: a > c > c,SV211: b > a,SV71: a > a,SV31: a > c > c] :
( ( ( ! [SV241: b] :
( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SV211 ) @ SV241 )
= ( comp_a_c_c_b @ SV105 @ SV211 @ SV241 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV31 @ SV71 )
= SV105 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[887]) ).
thf(958,plain,
! [SV105: a > c > c,SV211: b > a,SV71: a > a,SV31: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SV211 ) )
= ( comp_a_c_c_b @ SV105 @ SV211 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV31 @ SV71 )
= SV105 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[887]) ).
thf(959,plain,
! [SV166: b > a,SV141: a > c > c,SV108: b,SV74: b > a,SV34: a > c > c] :
( ( ( ! [SV242: c] :
( ( SV34 @ ( SV74 @ SV108 ) @ SV242 )
= ( SV141 @ ( SV166 @ SV108 ) @ SV242 ) ) )
= $false )
| ( ( ( comp_a_c_c_b @ SV34 @ SV74 @ SV108 )
= ( comp_a_c_c_b @ SV141 @ SV166 @ SV108 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[890]) ).
thf(960,plain,
! [SV166: b > a,SV141: a > c > c,SV108: b,SV74: b > a,SV34: a > c > c] :
( ( ( ( SV34 @ ( SV74 @ SV108 ) )
= ( SV141 @ ( SV166 @ SV108 ) ) )
= $false )
| ( ( ( comp_a_c_c_b @ SV34 @ SV74 @ SV108 )
= ( comp_a_c_c_b @ SV141 @ SV166 @ SV108 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[890]) ).
thf(961,plain,
! [SV167: a > a,SV142: a > c > c,SV109: a,SV75: a > a,SV35: a > c > c] :
( ( ( ! [SV243: c] :
( ( SV35 @ ( SV75 @ SV109 ) @ SV243 )
= ( SV142 @ ( SV167 @ SV109 ) @ SV243 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV35 @ SV75 @ SV109 )
= ( comp_a_c_c_a @ SV142 @ SV167 @ SV109 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[891]) ).
thf(962,plain,
! [SV167: a > a,SV142: a > c > c,SV109: a,SV75: a > a,SV35: a > c > c] :
( ( ( ( SV35 @ ( SV75 @ SV109 ) )
= ( SV142 @ ( SV167 @ SV109 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV35 @ SV75 @ SV109 )
= ( comp_a_c_c_a @ SV142 @ SV167 @ SV109 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[891]) ).
thf(963,plain,
! [SV110: b > c > c,SV76: b > a,SV36: a > c > c] :
( ( ( ! [SV244: c] :
( ( comp_a_c_c_b @ SV36 @ SV76 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) @ SV244 )
= ( SV110 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) @ SV244 ) ) )
= $false )
| ( ( ! [SY459: b] :
( ( SV36 @ ( SV76 @ SY459 ) )
= ( SV110 @ SY459 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[892]) ).
thf(964,plain,
! [SV110: b > c > c,SV76: b > a,SV36: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV36 @ SV76 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) )
= ( SV110 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) ) )
= $false )
| ( ( ! [SY459: b] :
( ( SV36 @ ( SV76 @ SY459 ) )
= ( SV110 @ SY459 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[892]) ).
thf(965,plain,
! [SV110: b > c > c,SV214: b,SV76: b > a,SV36: a > c > c] :
( ( ( ! [SV245: c] :
( ( SV36 @ ( SV76 @ SV214 ) @ SV245 )
= ( SV110 @ SV214 @ SV245 ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV36 @ SV76 )
= SV110 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[893]) ).
thf(966,plain,
! [SV110: b > c > c,SV214: b,SV76: b > a,SV36: a > c > c] :
( ( ( ( SV36 @ ( SV76 @ SV214 ) )
= ( SV110 @ SV214 ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV36 @ SV76 )
= SV110 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[893]) ).
thf(967,plain,
! [SV111: a > c > c,SV77: a > a,SV37: a > c > c] :
( ( ( ! [SV246: c] :
( ( comp_a_c_c_a @ SV37 @ SV77 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) @ SV246 )
= ( SV111 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) @ SV246 ) ) )
= $false )
| ( ( ! [SY460: a] :
( ( SV37 @ ( SV77 @ SY460 ) )
= ( SV111 @ SY460 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[894]) ).
thf(968,plain,
! [SV111: a > c > c,SV77: a > a,SV37: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV37 @ SV77 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) )
= ( SV111 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) ) )
= $false )
| ( ( ! [SY460: a] :
( ( SV37 @ ( SV77 @ SY460 ) )
= ( SV111 @ SY460 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[894]) ).
thf(969,plain,
! [SV111: a > c > c,SV215: a,SV77: a > a,SV37: a > c > c] :
( ( ( ! [SV247: c] :
( ( SV37 @ ( SV77 @ SV215 ) @ SV247 )
= ( SV111 @ SV215 @ SV247 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV37 @ SV77 )
= SV111 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[895]) ).
thf(970,plain,
! [SV111: a > c > c,SV215: a,SV77: a > a,SV37: a > c > c] :
( ( ( ( SV37 @ ( SV77 @ SV215 ) )
= ( SV111 @ SV215 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV37 @ SV77 )
= SV111 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[895]) ).
thf(971,plain,
! [SV112: a > c > c,SV143: b > a,SV78: b > a,SV38: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV38 @ SV78 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) )
= ( comp_a_c_c_b @ SV112 @ SV143 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) ) )
= $false )
| ( ( ! [SY495: b] :
( ( SV38 @ ( SV78 @ SY495 ) )
= ( SV112 @ ( SV143 @ SY495 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[896]) ).
thf(972,plain,
! [SV143: b > a,SV112: a > c > c,SV248: b,SV78: b > a,SV38: a > c > c] :
( ( ( ( SV38 @ ( SV78 @ SV248 ) )
= ( SV112 @ ( SV143 @ SV248 ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV38 @ SV78 )
= ( comp_a_c_c_b @ SV112 @ SV143 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[897]) ).
thf(973,plain,
! [SV113: a > c > c,SV144: a > a,SV79: a > a,SV39: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV39 @ SV79 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) )
= ( comp_a_c_c_a @ SV113 @ SV144 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) ) )
= $false )
| ( ( ! [SY496: a] :
( ( SV39 @ ( SV79 @ SY496 ) )
= ( SV113 @ ( SV144 @ SY496 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[898]) ).
thf(974,plain,
! [SV144: a > a,SV113: a > c > c,SV249: a,SV79: a > a,SV39: a > c > c] :
( ( ( ( SV39 @ ( SV79 @ SV249 ) )
= ( SV113 @ ( SV144 @ SV249 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV39 @ SV79 )
= ( comp_a_c_c_a @ SV113 @ SV144 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[899]) ).
thf(975,plain,
! [SV114: a > c > c,SV145: b > a,SV80: b > a,SV40: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV40 @ SV80 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) )
= ( comp_a_c_c_b @ SV114 @ SV145 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) ) )
= $false )
| ( ( ! [SY497: b] :
( ( SV40 @ ( SV80 @ SY497 ) )
= ( SV114 @ ( SV145 @ SY497 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[900]) ).
thf(976,plain,
! [SV145: b > a,SV114: a > c > c,SV250: b,SV80: b > a,SV40: a > c > c] :
( ( ( ( SV40 @ ( SV80 @ SV250 ) )
= ( SV114 @ ( SV145 @ SV250 ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV40 @ SV80 )
= ( comp_a_c_c_b @ SV114 @ SV145 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[901]) ).
thf(977,plain,
! [SV115: a > c > c,SV146: a > a,SV81: a > a,SV41: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV41 @ SV81 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) )
= ( comp_a_c_c_a @ SV115 @ SV146 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) ) )
= $false )
| ( ( ! [SY498: a] :
( ( SV41 @ ( SV81 @ SY498 ) )
= ( SV115 @ ( SV146 @ SY498 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[902]) ).
thf(978,plain,
! [SV146: a > a,SV115: a > c > c,SV251: a,SV81: a > a,SV41: a > c > c] :
( ( ( ( SV41 @ ( SV81 @ SV251 ) )
= ( SV115 @ ( SV146 @ SV251 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV41 @ SV81 )
= ( comp_a_c_c_a @ SV115 @ SV146 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[903]) ).
thf(979,plain,
! [SV252: c,SV196: b,SV149: b > a,SV84: a > c > c] :
( ( ( comp_a_c_c_b @ SV84 @ SV149 @ SV196 @ SV252 )
= ( SV84 @ ( SV149 @ SV196 ) @ SV252 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[906]) ).
thf(980,plain,
! [SV253: c,SV197: a,SV150: a > a,SV85: a > c > c] :
( ( ( comp_a_c_c_a @ SV85 @ SV150 @ SV197 @ SV253 )
= ( SV85 @ ( SV150 @ SV197 ) @ SV253 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[908]) ).
thf(981,plain,
! [SV172: b > a,SV151: a > a,SV120: b,SV86: b > a,SV46: a > a,SV254: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV254 @ SV46 ) @ SV86 @ SV120 )
= ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV254 @ SV151 ) @ SV172 @ SV120 ) )
= $true )
| ( ( ( SV46 @ ( SV86 @ SV120 ) )
= ( SV151 @ ( SV172 @ SV120 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[910]) ).
thf(982,plain,
! [SV173: a > a,SV152: a > a,SV121: a,SV87: a > a,SV47: a > a,SV255: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV255 @ SV47 ) @ SV87 @ SV121 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV255 @ SV152 ) @ SV173 @ SV121 ) )
= $true )
| ( ( ( SV47 @ ( SV87 @ SV121 ) )
= ( SV152 @ ( SV173 @ SV121 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[911]) ).
thf(983,plain,
! [SV198: a,SV174: a > a,SV153: a > c > c,SV122: a,SV88: a > a,SV48: a > c > c] :
( ( ( ( SV48 @ ( SV88 @ SV122 ) )
= ( SV153 @ ( SV174 @ SV198 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV48 @ SV88 @ SV122 )
= ( comp_a_c_c_a @ SV153 @ SV174 @ SV198 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(984,plain,
! [SV256: a,SV199: a > a,SV154: a > c > c,SV89: a > a] :
( ( ( map_fun_a_a_a_c_c @ SV89 @ SV154 @ SV199 @ SV256 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV154 @ SV199 ) @ SV89 @ SV256 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[913]) ).
thf(985,plain,
! [SV90: a > c > c,SV50: a > a] :
( ( ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
!= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
| ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[915]) ).
thf(986,plain,
! [SV50: a > a,SV257: a > c > c,SV90: a > c > c] :
( ( ( ( SV90
!= ( comp_a_c_c_a @ SV257 @ SV50 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[916]) ).
thf(987,plain,
! [SV91: a > c > c] :
( ( ( ~ ( finite40241358em_a_c @ SV91 ) )
= $false )
| ( ( finite40241358em_a_c @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[917]) ).
thf(988,plain,
! [SV91: a > c > c] :
( ( ( ~ ~ ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) ) )
= $false )
| ( ( finite40241358em_a_c @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[917]) ).
thf(989,plain,
! [SV91: a > c > c] :
( ( ( ~ ( finite19304177ms_a_c @ SV91 ) )
= $true )
| ( ( ~ ( finite746615251te_a_c @ SV91 ) )
= $true )
| ( ( ~ ( ~ ( finite40241358em_a_c @ SV91 )
| ~ ~ ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[918]) ).
thf(990,plain,
! [SV92: a > c > c,SV52: a > c > c] :
( ( ( ! [SY518: a] :
( ( SV52 @ SY518 )
!= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[919]) ).
thf(991,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ( SV92
!= ( comp_a_c_c_a @ SV52 @ SV258 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[920]) ).
thf(992,plain,
! [SV2: a > c > c,SV54: a > c > c,SV93: c > c] :
( ( ( ( SV93 @ ( SV54 @ ( sK4_X2 @ SV93 @ SV54 @ SV2 ) @ ( sK5_SY196 @ SV93 @ SV54 @ SV2 ) ) )
= ( SV2 @ ( sK4_X2 @ SV93 @ SV54 @ SV2 ) @ ( SV93 @ ( sK5_SY196 @ SV93 @ SV54 @ SV2 ) ) ) )
= $false )
| ( ( ! [SY432: c,SY433: multiset_a] :
( ( SV93 @ ( fold_mset_a_c @ SV54 @ SY432 @ SY433 ) )
= ( fold_mset_a_c @ SV2 @ ( SV93 @ SY432 ) @ SY433 ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV54 )
= $false )
| ( ( finite746615251te_a_c @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(993,plain,
! [SV178: c,SV259: c,SV94: set_a,SV56: c,SV5: a > c > c] :
( ( ( ~ ( finite1511629768ph_a_c @ SV5 @ SV56 @ SV94 @ SV259 )
| ( SV259 = SV178 ) )
= $true )
| ( ( finite1511629768ph_a_c @ SV5 @ SV56 @ SV94 @ SV178 )
= $false )
| ( ( finite746615251te_a_c @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[922]) ).
thf(994,plain,
! [SV58: a > c > c] :
( ( ( finite746615251te_a_c @ SV58 )
= $true )
| ( ( finite746615251te_a_c @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[923]) ).
thf(995,plain,
! [SV58: a > c > c] :
( ( ( ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[924]) ).
thf(996,plain,
! [SV58: a > c > c] :
( ( ( ! [SV260: c] :
( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ SV260 )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ SV260 ) ) )
= $false )
| ( ( ~ ( ~ ( finite746615251te_a_c @ SV58 )
| ~ ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[925]) ).
thf(997,plain,
! [SV58: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) ) )
= $false )
| ( ( ~ ( ~ ( finite746615251te_a_c @ SV58 )
| ~ ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[925]) ).
thf(998,plain,
! [SV62: a > c > c] :
( ( ( finite19304177ms_a_c @ SV62 )
= $true )
| ( ( finite19304177ms_a_c @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[928]) ).
thf(999,plain,
! [SV62: a > c > c] :
( ( ( ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) )
= $true )
| ( ( finite19304177ms_a_c @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[929]) ).
thf(1000,plain,
! [SV62: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( sK29_SV227 @ SV62 ) )
= ( SV62 @ ( sK9_SY355 @ SV62 ) @ ( sK29_SV227 @ SV62 ) ) )
= $false )
| ( ( ~ ( ~ ( finite19304177ms_a_c @ SV62 )
| ~ ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[930]) ).
thf(1001,plain,
! [SV62: a > c > c] :
( ( ( ~ ( finite19304177ms_a_c @ SV62 )
| ~ ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) )
= $false )
| ( ( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[931]) ).
thf(1002,plain,
! [SV135: a > a,SV63: a > a,SV23: a > a,SV97: a > a,SV261: a > c > c] :
( ( ( ! [SY523: a > c > c] :
( ( ( comp_a_c_c_a @ SV261 @ SV97 )
!= SY523 )
| ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SY523 @ SV135 ) ) ) )
= $true )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[932]) ).
thf(1003,plain,
! [SV135: a > a,SV63: a > a,SV23: a > a,SV262: a > c > c,SV97: a > a,SV228: a > c > c] :
( ( ( ( ( comp_a_c_c_a @ SV228 @ SV97 )
!= SV262 )
| ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV262 @ SV135 ) ) )
= $true )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(1004,plain,
! [SV98: a > c > c,SV136: a > a,SV64: a > a,SV24: a > c > c] :
( ( ( ! [SV263: c] :
( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ SV263 )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ SV263 ) ) )
= $false )
| ( ( ! [SY487: ( c > c ) > c > c,SY488: a > c > c] :
( ( ( comp_c_c_c_c_a @ SY487 @ SV98 )
!= SY488 )
| ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY487 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SY488 @ SV136 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[934]) ).
thf(1005,plain,
! [SV98: a > c > c,SV136: a > a,SV64: a > a,SV24: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false )
| ( ( ! [SY487: ( c > c ) > c > c,SY488: a > c > c] :
( ( ( comp_c_c_c_c_a @ SY487 @ SV98 )
!= SY488 )
| ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY487 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SY488 @ SV136 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[934]) ).
thf(1006,plain,
! [SV136: a > a,SV64: a > a,SV24: a > c > c,SV264: a > c > c,SV98: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 )
!= SV264 )
| ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV264 @ SV136 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[935]) ).
thf(1007,plain,
! [SV137: b > a,SV65: b > a,SV25: a > a,SV99: a > a,SV265: a > c > c] :
( ( ( ! [SY524: a > c > c] :
( ( ( comp_a_c_c_a @ SV265 @ SV99 )
!= SY524 )
| ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SY524 @ SV137 ) ) ) )
= $true )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(1008,plain,
! [SV137: b > a,SV65: b > a,SV25: a > a,SV266: a > c > c,SV99: a > a,SV230: a > c > c] :
( ( ( ( ( comp_a_c_c_a @ SV230 @ SV99 )
!= SV266 )
| ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV266 @ SV137 ) ) )
= $true )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[937]) ).
thf(1009,plain,
! [SV100: a > c > c,SV138: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ! [SV267: c] :
( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ SV267 )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ SV267 ) ) )
= $false )
| ( ( ! [SY491: a > a,SY492: a > a] :
( ( ( comp_a_a_a @ SV138 @ SY491 )
!= SY492 )
| ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SY491 ) )
= ( comp_a_c_c_a @ SV100 @ SY492 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[938]) ).
thf(1010,plain,
! [SV100: a > c > c,SV138: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) ) )
= $false )
| ( ( ! [SY491: a > a,SY492: a > a] :
( ( ( comp_a_a_a @ SV138 @ SY491 )
!= SY492 )
| ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SY491 ) )
= ( comp_a_c_c_a @ SV100 @ SY492 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[938]) ).
thf(1011,plain,
! [SV100: a > c > c,SV66: a > a,SV26: a > c > c,SV268: a > a,SV231: a > a,SV138: a > a] :
( ( ( ( ( comp_a_a_a @ SV138 @ SV231 )
!= SV268 )
| ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV231 ) )
= ( comp_a_c_c_a @ SV100 @ SV268 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
= ( comp_a_c_c_a @ SV100 @ SV138 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[939]) ).
thf(1012,plain,
! [SV101: a > a,SV67: a > a,SV27: a > a,SV232: a > c > c] :
( ( ( ! [SV269: a] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV232 @ SV27 ) @ SV67 @ SV269 )
= ( comp_a_c_c_a @ SV232 @ SV101 @ SV269 ) ) )
= $true )
| ( ( ( comp_a_a_a @ SV27 @ SV67 @ ( sK10_SV185 @ SV101 @ SV67 @ SV27 ) )
= ( SV101 @ ( sK10_SV185 @ SV101 @ SV67 @ SV27 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[940]) ).
thf(1013,plain,
! [SV101: a > a,SV67: a > a,SV27: a > a,SV232: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV232 @ SV27 ) @ SV67 )
= ( comp_a_c_c_a @ SV232 @ SV101 ) )
= $true )
| ( ( ( comp_a_a_a @ SV27 @ SV67 @ ( sK10_SV185 @ SV101 @ SV67 @ SV27 ) )
= ( SV101 @ ( sK10_SV185 @ SV101 @ SV67 @ SV27 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[940]) ).
thf(1014,plain,
! [SV101: a > a,SV270: a,SV67: a > a,SV27: a > a,SV207: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV207 @ SV27 ) @ SV67 @ SV270 )
= ( comp_a_c_c_a @ SV207 @ SV101 @ SV270 ) )
= $true )
| ( ( ( comp_a_a_a @ SV27 @ SV67 )
= SV101 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[941]) ).
thf(1015,plain,
! [SV102: a > c > c,SV68: a > a,SV28: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV28 @ SV68 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) @ ( sK30_SV234 @ SV102 @ SV68 @ SV28 ) )
= ( SV102 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) @ ( sK30_SV234 @ SV102 @ SV68 @ SV28 ) ) )
= $false )
| ( ( ! [SY451: ( c > c ) > c > c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY451 @ SV28 ) @ SV68 )
= ( comp_c_c_c_c_a @ SY451 @ SV102 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[943]) ).
thf(1016,plain,
! [SV102: a > c > c,SV68: a > a,SV28: a > c > c,SV271: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV271 @ SV28 ) @ SV68 )
= ( comp_c_c_c_c_a @ SV271 @ SV102 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV28 @ SV68 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) )
= ( SV102 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[944]) ).
thf(1017,plain,
! [SV102: a > c > c,SV272: a,SV68: a > a,SV28: a > c > c,SV208: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV208 @ SV28 ) @ SV68 @ SV272 )
= ( comp_c_c_c_c_a @ SV208 @ SV102 @ SV272 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV28 @ SV68 )
= SV102 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(1018,plain,
! [SV103: a > c > c,SV69: a > a,SV29: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV29 @ SV69 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) @ ( sK31_SV236 @ SV103 @ SV69 @ SV29 ) )
= ( SV103 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) @ ( sK31_SV236 @ SV103 @ SV69 @ SV29 ) ) )
= $false )
| ( ( ! [SY452: a > a] :
( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SY452 ) )
= ( comp_a_c_c_a @ SV103 @ SY452 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[947]) ).
thf(1019,plain,
! [SV103: a > c > c,SV273: a > a,SV69: a > a,SV29: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SV273 ) )
= ( comp_a_c_c_a @ SV103 @ SV273 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV29 @ SV69 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) )
= ( SV103 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[948]) ).
thf(1020,plain,
! [SV103: a > c > c,SV274: a,SV209: a > a,SV69: a > a,SV29: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SV209 ) @ SV274 )
= ( comp_a_c_c_a @ SV103 @ SV209 @ SV274 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV29 @ SV69 )
= SV103 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[949]) ).
thf(1021,plain,
! [SV104: a > c > c,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) @ ( sK32_SV238 @ SV104 @ SV70 @ SV30 ) )
= ( SV104 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) @ ( sK32_SV238 @ SV104 @ SV70 @ SV30 ) ) )
= $false )
| ( ( ! [SY453: a > a] :
( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SY453 ) )
= ( comp_a_c_c_a @ SV104 @ SY453 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[951]) ).
thf(1022,plain,
! [SV104: a > c > c,SV275: a > a,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SV275 ) )
= ( comp_a_c_c_a @ SV104 @ SV275 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) )
= ( SV104 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[952]) ).
thf(1023,plain,
! [SV104: a > c > c,SV276: a,SV210: a > a,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SV210 ) @ SV276 )
= ( comp_a_c_c_a @ SV104 @ SV210 @ SV276 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 )
= SV104 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[953]) ).
thf(1024,plain,
! [SV105: a > c > c,SV71: a > a,SV31: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV31 @ SV71 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) @ ( sK33_SV240 @ SV105 @ SV71 @ SV31 ) )
= ( SV105 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) @ ( sK33_SV240 @ SV105 @ SV71 @ SV31 ) ) )
= $false )
| ( ( ! [SY454: b > a] :
( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SY454 ) )
= ( comp_a_c_c_b @ SV105 @ SY454 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[955]) ).
thf(1025,plain,
! [SV105: a > c > c,SV277: b > a,SV71: a > a,SV31: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SV277 ) )
= ( comp_a_c_c_b @ SV105 @ SV277 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV31 @ SV71 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) )
= ( SV105 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[956]) ).
thf(1026,plain,
! [SV105: a > c > c,SV278: b,SV211: b > a,SV71: a > a,SV31: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SV211 ) @ SV278 )
= ( comp_a_c_c_b @ SV105 @ SV211 @ SV278 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV31 @ SV71 )
= SV105 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(1027,plain,
! [SV141: a > c > c,SV166: b > a,SV108: b,SV74: b > a,SV34: a > c > c] :
( ( ( ( SV34 @ ( SV74 @ SV108 ) @ ( sK34_SV242 @ SV166 @ SV141 @ SV108 @ SV74 @ SV34 ) )
= ( SV141 @ ( SV166 @ SV108 ) @ ( sK34_SV242 @ SV166 @ SV141 @ SV108 @ SV74 @ SV34 ) ) )
= $false )
| ( ( ( comp_a_c_c_b @ SV34 @ SV74 @ SV108 )
= ( comp_a_c_c_b @ SV141 @ SV166 @ SV108 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[959]) ).
thf(1028,plain,
! [SV166: b > a,SV141: a > c > c,SV108: b,SV74: b > a,SV34: a > c > c] :
( ( ( ! [SV279: c] :
( ( comp_a_c_c_b @ SV34 @ SV74 @ SV108 @ SV279 )
= ( comp_a_c_c_b @ SV141 @ SV166 @ SV108 @ SV279 ) ) )
= $true )
| ( ( ( SV34 @ ( SV74 @ SV108 ) )
= ( SV141 @ ( SV166 @ SV108 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[960]) ).
thf(1029,plain,
! [SV166: b > a,SV141: a > c > c,SV108: b,SV74: b > a,SV34: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV34 @ SV74 @ SV108 )
= ( comp_a_c_c_b @ SV141 @ SV166 @ SV108 ) )
= $true )
| ( ( ( SV34 @ ( SV74 @ SV108 ) )
= ( SV141 @ ( SV166 @ SV108 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[960]) ).
thf(1030,plain,
! [SV142: a > c > c,SV167: a > a,SV109: a,SV75: a > a,SV35: a > c > c] :
( ( ( ( SV35 @ ( SV75 @ SV109 ) @ ( sK35_SV243 @ SV167 @ SV142 @ SV109 @ SV75 @ SV35 ) )
= ( SV142 @ ( SV167 @ SV109 ) @ ( sK35_SV243 @ SV167 @ SV142 @ SV109 @ SV75 @ SV35 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV35 @ SV75 @ SV109 )
= ( comp_a_c_c_a @ SV142 @ SV167 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[961]) ).
thf(1031,plain,
! [SV167: a > a,SV142: a > c > c,SV109: a,SV75: a > a,SV35: a > c > c] :
( ( ( ! [SV280: c] :
( ( comp_a_c_c_a @ SV35 @ SV75 @ SV109 @ SV280 )
= ( comp_a_c_c_a @ SV142 @ SV167 @ SV109 @ SV280 ) ) )
= $true )
| ( ( ( SV35 @ ( SV75 @ SV109 ) )
= ( SV142 @ ( SV167 @ SV109 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[962]) ).
thf(1032,plain,
! [SV167: a > a,SV142: a > c > c,SV109: a,SV75: a > a,SV35: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV35 @ SV75 @ SV109 )
= ( comp_a_c_c_a @ SV142 @ SV167 @ SV109 ) )
= $true )
| ( ( ( SV35 @ ( SV75 @ SV109 ) )
= ( SV142 @ ( SV167 @ SV109 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[962]) ).
thf(1033,plain,
! [SV110: b > c > c,SV76: b > a,SV36: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV36 @ SV76 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) @ ( sK36_SV244 @ SV110 @ SV76 @ SV36 ) )
= ( SV110 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) @ ( sK36_SV244 @ SV110 @ SV76 @ SV36 ) ) )
= $false )
| ( ( ! [SY459: b] :
( ( SV36 @ ( SV76 @ SY459 ) )
= ( SV110 @ SY459 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[963]) ).
thf(1034,plain,
! [SV110: b > c > c,SV281: b,SV76: b > a,SV36: a > c > c] :
( ( ( ( SV36 @ ( SV76 @ SV281 ) )
= ( SV110 @ SV281 ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV36 @ SV76 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) )
= ( SV110 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[964]) ).
thf(1035,plain,
! [SV110: b > c > c,SV282: c,SV214: b,SV76: b > a,SV36: a > c > c] :
( ( ( ( SV36 @ ( SV76 @ SV214 ) @ SV282 )
= ( SV110 @ SV214 @ SV282 ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV36 @ SV76 )
= SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[965]) ).
thf(1036,plain,
! [SV111: a > c > c,SV77: a > a,SV37: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV37 @ SV77 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) @ ( sK37_SV246 @ SV111 @ SV77 @ SV37 ) )
= ( SV111 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) @ ( sK37_SV246 @ SV111 @ SV77 @ SV37 ) ) )
= $false )
| ( ( ! [SY460: a] :
( ( SV37 @ ( SV77 @ SY460 ) )
= ( SV111 @ SY460 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[967]) ).
thf(1037,plain,
! [SV111: a > c > c,SV283: a,SV77: a > a,SV37: a > c > c] :
( ( ( ( SV37 @ ( SV77 @ SV283 ) )
= ( SV111 @ SV283 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV37 @ SV77 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) )
= ( SV111 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[968]) ).
thf(1038,plain,
! [SV111: a > c > c,SV284: c,SV215: a,SV77: a > a,SV37: a > c > c] :
( ( ( ( SV37 @ ( SV77 @ SV215 ) @ SV284 )
= ( SV111 @ SV215 @ SV284 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV37 @ SV77 )
= SV111 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[969]) ).
thf(1039,plain,
! [SV112: a > c > c,SV143: b > a,SV78: b > a,SV38: a > c > c] :
( ( ( ! [SV285: c] :
( ( comp_a_c_c_b @ SV38 @ SV78 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) @ SV285 )
= ( comp_a_c_c_b @ SV112 @ SV143 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) @ SV285 ) ) )
= $false )
| ( ( ! [SY495: b] :
( ( SV38 @ ( SV78 @ SY495 ) )
= ( SV112 @ ( SV143 @ SY495 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[971]) ).
thf(1040,plain,
! [SV112: a > c > c,SV143: b > a,SV78: b > a,SV38: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV38 @ SV78 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) )
= ( comp_a_c_c_b @ SV112 @ SV143 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) ) )
= $false )
| ( ( ! [SY495: b] :
( ( SV38 @ ( SV78 @ SY495 ) )
= ( SV112 @ ( SV143 @ SY495 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[971]) ).
thf(1041,plain,
! [SV143: b > a,SV112: a > c > c,SV248: b,SV78: b > a,SV38: a > c > c] :
( ( ( ! [SV286: c] :
( ( SV38 @ ( SV78 @ SV248 ) @ SV286 )
= ( SV112 @ ( SV143 @ SV248 ) @ SV286 ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV38 @ SV78 )
= ( comp_a_c_c_b @ SV112 @ SV143 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[972]) ).
thf(1042,plain,
! [SV143: b > a,SV112: a > c > c,SV248: b,SV78: b > a,SV38: a > c > c] :
( ( ( ( SV38 @ ( SV78 @ SV248 ) )
= ( SV112 @ ( SV143 @ SV248 ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV38 @ SV78 )
= ( comp_a_c_c_b @ SV112 @ SV143 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[972]) ).
thf(1043,plain,
! [SV113: a > c > c,SV144: a > a,SV79: a > a,SV39: a > c > c] :
( ( ( ! [SV287: c] :
( ( comp_a_c_c_a @ SV39 @ SV79 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) @ SV287 )
= ( comp_a_c_c_a @ SV113 @ SV144 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) @ SV287 ) ) )
= $false )
| ( ( ! [SY496: a] :
( ( SV39 @ ( SV79 @ SY496 ) )
= ( SV113 @ ( SV144 @ SY496 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[973]) ).
thf(1044,plain,
! [SV113: a > c > c,SV144: a > a,SV79: a > a,SV39: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV39 @ SV79 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) )
= ( comp_a_c_c_a @ SV113 @ SV144 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) ) )
= $false )
| ( ( ! [SY496: a] :
( ( SV39 @ ( SV79 @ SY496 ) )
= ( SV113 @ ( SV144 @ SY496 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[973]) ).
thf(1045,plain,
! [SV144: a > a,SV113: a > c > c,SV249: a,SV79: a > a,SV39: a > c > c] :
( ( ( ! [SV288: c] :
( ( SV39 @ ( SV79 @ SV249 ) @ SV288 )
= ( SV113 @ ( SV144 @ SV249 ) @ SV288 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV39 @ SV79 )
= ( comp_a_c_c_a @ SV113 @ SV144 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[974]) ).
thf(1046,plain,
! [SV144: a > a,SV113: a > c > c,SV249: a,SV79: a > a,SV39: a > c > c] :
( ( ( ( SV39 @ ( SV79 @ SV249 ) )
= ( SV113 @ ( SV144 @ SV249 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV39 @ SV79 )
= ( comp_a_c_c_a @ SV113 @ SV144 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[974]) ).
thf(1047,plain,
! [SV114: a > c > c,SV145: b > a,SV80: b > a,SV40: a > c > c] :
( ( ( ! [SV289: c] :
( ( comp_a_c_c_b @ SV40 @ SV80 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) @ SV289 )
= ( comp_a_c_c_b @ SV114 @ SV145 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) @ SV289 ) ) )
= $false )
| ( ( ! [SY497: b] :
( ( SV40 @ ( SV80 @ SY497 ) )
= ( SV114 @ ( SV145 @ SY497 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[975]) ).
thf(1048,plain,
! [SV114: a > c > c,SV145: b > a,SV80: b > a,SV40: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV40 @ SV80 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) )
= ( comp_a_c_c_b @ SV114 @ SV145 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) ) )
= $false )
| ( ( ! [SY497: b] :
( ( SV40 @ ( SV80 @ SY497 ) )
= ( SV114 @ ( SV145 @ SY497 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[975]) ).
thf(1049,plain,
! [SV145: b > a,SV114: a > c > c,SV250: b,SV80: b > a,SV40: a > c > c] :
( ( ( ! [SV290: c] :
( ( SV40 @ ( SV80 @ SV250 ) @ SV290 )
= ( SV114 @ ( SV145 @ SV250 ) @ SV290 ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV40 @ SV80 )
= ( comp_a_c_c_b @ SV114 @ SV145 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[976]) ).
thf(1050,plain,
! [SV145: b > a,SV114: a > c > c,SV250: b,SV80: b > a,SV40: a > c > c] :
( ( ( ( SV40 @ ( SV80 @ SV250 ) )
= ( SV114 @ ( SV145 @ SV250 ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV40 @ SV80 )
= ( comp_a_c_c_b @ SV114 @ SV145 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[976]) ).
thf(1051,plain,
! [SV115: a > c > c,SV146: a > a,SV81: a > a,SV41: a > c > c] :
( ( ( ! [SV291: c] :
( ( comp_a_c_c_a @ SV41 @ SV81 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) @ SV291 )
= ( comp_a_c_c_a @ SV115 @ SV146 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) @ SV291 ) ) )
= $false )
| ( ( ! [SY498: a] :
( ( SV41 @ ( SV81 @ SY498 ) )
= ( SV115 @ ( SV146 @ SY498 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[977]) ).
thf(1052,plain,
! [SV115: a > c > c,SV146: a > a,SV81: a > a,SV41: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV41 @ SV81 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) )
= ( comp_a_c_c_a @ SV115 @ SV146 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) ) )
= $false )
| ( ( ! [SY498: a] :
( ( SV41 @ ( SV81 @ SY498 ) )
= ( SV115 @ ( SV146 @ SY498 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[977]) ).
thf(1053,plain,
! [SV146: a > a,SV115: a > c > c,SV251: a,SV81: a > a,SV41: a > c > c] :
( ( ( ! [SV292: c] :
( ( SV41 @ ( SV81 @ SV251 ) @ SV292 )
= ( SV115 @ ( SV146 @ SV251 ) @ SV292 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV41 @ SV81 )
= ( comp_a_c_c_a @ SV115 @ SV146 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[978]) ).
thf(1054,plain,
! [SV146: a > a,SV115: a > c > c,SV251: a,SV81: a > a,SV41: a > c > c] :
( ( ( ( SV41 @ ( SV81 @ SV251 ) )
= ( SV115 @ ( SV146 @ SV251 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV41 @ SV81 )
= ( comp_a_c_c_a @ SV115 @ SV146 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[978]) ).
thf(1055,plain,
! [SV172: b > a,SV151: a > a,SV120: b,SV86: b > a,SV46: a > a,SV254: a > c > c] :
( ( ( ! [SV293: c] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV254 @ SV46 ) @ SV86 @ SV120 @ SV293 )
= ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV254 @ SV151 ) @ SV172 @ SV120 @ SV293 ) ) )
= $true )
| ( ( ( SV46 @ ( SV86 @ SV120 ) )
= ( SV151 @ ( SV172 @ SV120 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[981]) ).
thf(1056,plain,
! [SV172: b > a,SV151: a > a,SV120: b,SV86: b > a,SV46: a > a,SV254: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV254 @ SV46 ) @ SV86 @ SV120 )
= ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV254 @ SV151 ) @ SV172 @ SV120 ) )
= $true )
| ( ( ( SV46 @ ( SV86 @ SV120 ) )
= ( SV151 @ ( SV172 @ SV120 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[981]) ).
thf(1057,plain,
! [SV173: a > a,SV152: a > a,SV121: a,SV87: a > a,SV47: a > a,SV255: a > c > c] :
( ( ( ! [SV294: c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV255 @ SV47 ) @ SV87 @ SV121 @ SV294 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV255 @ SV152 ) @ SV173 @ SV121 @ SV294 ) ) )
= $true )
| ( ( ( SV47 @ ( SV87 @ SV121 ) )
= ( SV152 @ ( SV173 @ SV121 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[982]) ).
thf(1058,plain,
! [SV173: a > a,SV152: a > a,SV121: a,SV87: a > a,SV47: a > a,SV255: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV255 @ SV47 ) @ SV87 @ SV121 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV255 @ SV152 ) @ SV173 @ SV121 ) )
= $true )
| ( ( ( SV47 @ ( SV87 @ SV121 ) )
= ( SV152 @ ( SV173 @ SV121 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[982]) ).
thf(1059,plain,
! [SV198: a,SV174: a > a,SV153: a > c > c,SV122: a,SV88: a > a,SV48: a > c > c] :
( ( ( ! [SV295: c] :
( ( SV48 @ ( SV88 @ SV122 ) @ SV295 )
= ( SV153 @ ( SV174 @ SV198 ) @ SV295 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV48 @ SV88 @ SV122 )
= ( comp_a_c_c_a @ SV153 @ SV174 @ SV198 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[983]) ).
thf(1060,plain,
! [SV198: a,SV174: a > a,SV153: a > c > c,SV122: a,SV88: a > a,SV48: a > c > c] :
( ( ( ( SV48 @ ( SV88 @ SV122 ) )
= ( SV153 @ ( SV174 @ SV198 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV48 @ SV88 @ SV122 )
= ( comp_a_c_c_a @ SV153 @ SV174 @ SV198 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[983]) ).
thf(1061,plain,
! [SV256: a,SV199: a > a,SV154: a > c > c,SV89: a > a] :
( ( ! [SV296: c] :
( ( map_fun_a_a_a_c_c @ SV89 @ SV154 @ SV199 @ SV256 @ SV296 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV154 @ SV199 ) @ SV89 @ SV256 @ SV296 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[984]) ).
thf(1062,plain,
! [SV256: a,SV199: a > a,SV154: a > c > c,SV89: a > a] :
( ( ( map_fun_a_a_a_c_c @ SV89 @ SV154 @ SV199 @ SV256 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV154 @ SV199 ) @ SV89 @ SV256 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[984]) ).
thf(1063,plain,
! [SV90: a > c > c,SV50: a > a] :
( ( ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
!= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[985]) ).
thf(1064,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[985]) ).
thf(1065,plain,
! [SV50: a > a,SV257: a > c > c,SV90: a > c > c] :
( ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false )
| ( ( ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1066,plain,
! [SV91: a > c > c] :
( ( ( finite40241358em_a_c @ SV91 )
= $true )
| ( ( finite40241358em_a_c @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[987]) ).
thf(1067,plain,
! [SV91: a > c > c] :
( ( ( ~ ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) ) )
= $true )
| ( ( finite40241358em_a_c @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[988]) ).
thf(1068,plain,
! [SV91: a > c > c] :
( ( ( finite19304177ms_a_c @ SV91 )
= $false )
| ( ( ~ ( finite746615251te_a_c @ SV91 ) )
= $true )
| ( ( ~ ( ~ ( finite40241358em_a_c @ SV91 )
| ~ ~ ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(1069,plain,
! [SV92: a > c > c,SV297: a,SV52: a > c > c] :
( ( ( ( ( SV52 @ SV297 )
!= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[990]) ).
thf(1070,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false )
| ( ( ~ ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[991]) ).
thf(1071,plain,
! [SV2: a > c > c,SV298: c,SV54: a > c > c,SV93: c > c] :
( ( ( ! [SY525: multiset_a] :
( ( SV93 @ ( fold_mset_a_c @ SV54 @ SV298 @ SY525 ) )
= ( fold_mset_a_c @ SV2 @ ( SV93 @ SV298 ) @ SY525 ) ) )
= $true )
| ( ( ( SV93 @ ( SV54 @ ( sK4_X2 @ SV93 @ SV54 @ SV2 ) @ ( sK5_SY196 @ SV93 @ SV54 @ SV2 ) ) )
= ( SV2 @ ( sK4_X2 @ SV93 @ SV54 @ SV2 ) @ ( SV93 @ ( sK5_SY196 @ SV93 @ SV54 @ SV2 ) ) ) )
= $false )
| ( ( finite746615251te_a_c @ SV54 )
= $false )
| ( ( finite746615251te_a_c @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[992]) ).
thf(1072,plain,
! [SV178: c,SV259: c,SV94: set_a,SV56: c,SV5: a > c > c] :
( ( ( ~ ( finite1511629768ph_a_c @ SV5 @ SV56 @ SV94 @ SV259 ) )
= $true )
| ( ( SV259 = SV178 )
= $true )
| ( ( finite1511629768ph_a_c @ SV5 @ SV56 @ SV94 @ SV178 )
= $false )
| ( ( finite746615251te_a_c @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[993]) ).
thf(1073,plain,
! [SV299: a,SV58: a > c > c] :
( ( ( ! [SY526: a] :
( ( comp_c_c_c @ ( SV58 @ SV299 ) @ ( SV58 @ SY526 ) )
= ( comp_c_c_c @ ( SV58 @ SY526 ) @ ( SV58 @ SV299 ) ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[995]) ).
thf(1074,plain,
! [SV58: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) ) )
= $false )
| ( ( ~ ( ~ ( finite746615251te_a_c @ SV58 )
| ~ ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[996]) ).
thf(1075,plain,
! [SV58: a > c > c] :
( ( ( ~ ( finite746615251te_a_c @ SV58 )
| ~ ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) )
= $false )
| ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1076,plain,
! [SV300: a,SV62: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV62 @ SV300 ) @ ( SV62 @ SV300 ) )
= ( SV62 @ SV300 ) )
= $true )
| ( ( finite19304177ms_a_c @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[999]) ).
thf(1077,plain,
! [SV62: a > c > c] :
( ( ( ~ ( finite19304177ms_a_c @ SV62 )
| ~ ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) )
= $false )
| ( ( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( sK29_SV227 @ SV62 ) )
= ( SV62 @ ( sK9_SY355 @ SV62 ) @ ( sK29_SV227 @ SV62 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1078,plain,
! [SV62: a > c > c] :
( ( ( ~ ( finite19304177ms_a_c @ SV62 ) )
= $false )
| ( ( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1001]) ).
thf(1079,plain,
! [SV62: a > c > c] :
( ( ( ~ ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) )
= $false )
| ( ( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1001]) ).
thf(1080,plain,
! [SV135: a > a,SV63: a > a,SV23: a > a,SV301: a > c > c,SV97: a > a,SV261: a > c > c] :
( ( ( ( ( comp_a_c_c_a @ SV261 @ SV97 )
!= SV301 )
| ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV301 @ SV135 ) ) )
= $true )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1002]) ).
thf(1081,plain,
! [SV135: a > a,SV63: a > a,SV23: a > a,SV262: a > c > c,SV97: a > a,SV228: a > c > c] :
( ( ( ( ( comp_a_c_c_a @ SV228 @ SV97 )
!= SV262 ) )
= $true )
| ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV262 @ SV135 ) )
= $true )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1003]) ).
thf(1082,plain,
! [SV98: a > c > c,SV136: a > a,SV64: a > a,SV24: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false )
| ( ( ! [SY487: ( c > c ) > c > c,SY488: a > c > c] :
( ( ( comp_c_c_c_c_a @ SY487 @ SV98 )
!= SY488 )
| ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SY487 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SY488 @ SV136 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1004]) ).
thf(1083,plain,
! [SV136: a > a,SV64: a > a,SV24: a > c > c,SV98: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ! [SY527: a > c > c] :
( ( ( comp_c_c_c_c_a @ SV302 @ SV98 )
!= SY527 )
| ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SY527 @ SV136 ) ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1005]) ).
thf(1084,plain,
! [SV136: a > a,SV64: a > a,SV24: a > c > c,SV264: a > c > c,SV98: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 )
!= SV264 ) )
= $true )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV264 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1006]) ).
thf(1085,plain,
! [SV137: b > a,SV65: b > a,SV25: a > a,SV303: a > c > c,SV99: a > a,SV265: a > c > c] :
( ( ( ( ( comp_a_c_c_a @ SV265 @ SV99 )
!= SV303 )
| ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV303 @ SV137 ) ) )
= $true )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1007]) ).
thf(1086,plain,
! [SV137: b > a,SV65: b > a,SV25: a > a,SV266: a > c > c,SV99: a > a,SV230: a > c > c] :
( ( ( ( ( comp_a_c_c_a @ SV230 @ SV99 )
!= SV266 ) )
= $true )
| ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV266 @ SV137 ) )
= $true )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1008]) ).
thf(1087,plain,
! [SV100: a > c > c,SV138: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) ) )
= $false )
| ( ( ! [SY491: a > a,SY492: a > a] :
( ( ( comp_a_a_a @ SV138 @ SY491 )
!= SY492 )
| ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SY491 ) )
= ( comp_a_c_c_a @ SV100 @ SY492 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1009]) ).
thf(1088,plain,
! [SV100: a > c > c,SV66: a > a,SV26: a > c > c,SV304: a > a,SV138: a > a] :
( ( ( ! [SY528: a > a] :
( ( ( comp_a_a_a @ SV138 @ SV304 )
!= SY528 )
| ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV304 ) )
= ( comp_a_c_c_a @ SV100 @ SY528 ) ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1010]) ).
thf(1089,plain,
! [SV100: a > c > c,SV66: a > a,SV26: a > c > c,SV268: a > a,SV231: a > a,SV138: a > a] :
( ( ( ( ( comp_a_a_a @ SV138 @ SV231 )
!= SV268 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV231 ) )
= ( comp_a_c_c_a @ SV100 @ SV268 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
= ( comp_a_c_c_a @ SV100 @ SV138 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1011]) ).
thf(1090,plain,
! [SV101: a > a,SV305: a,SV67: a > a,SV27: a > a,SV232: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV232 @ SV27 ) @ SV67 @ SV305 )
= ( comp_a_c_c_a @ SV232 @ SV101 @ SV305 ) )
= $true )
| ( ( ( comp_a_a_a @ SV27 @ SV67 @ ( sK10_SV185 @ SV101 @ SV67 @ SV27 ) )
= ( SV101 @ ( sK10_SV185 @ SV101 @ SV67 @ SV27 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1012]) ).
thf(1091,plain,
! [SV101: a > a,SV270: a,SV67: a > a,SV27: a > a,SV207: a > c > c] :
( ( ( ! [SV306: c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV207 @ SV27 ) @ SV67 @ SV270 @ SV306 )
= ( comp_a_c_c_a @ SV207 @ SV101 @ SV270 @ SV306 ) ) )
= $true )
| ( ( ( comp_a_a_a @ SV27 @ SV67 )
= SV101 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1014]) ).
thf(1092,plain,
! [SV101: a > a,SV270: a,SV67: a > a,SV27: a > a,SV207: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV207 @ SV27 ) @ SV67 @ SV270 )
= ( comp_a_c_c_a @ SV207 @ SV101 @ SV270 ) )
= $true )
| ( ( ( comp_a_a_a @ SV27 @ SV67 )
= SV101 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1014]) ).
thf(1093,plain,
! [SV102: a > c > c,SV68: a > a,SV28: a > c > c,SV307: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV307 @ SV28 ) @ SV68 )
= ( comp_c_c_c_c_a @ SV307 @ SV102 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV28 @ SV68 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) @ ( sK30_SV234 @ SV102 @ SV68 @ SV28 ) )
= ( SV102 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) @ ( sK30_SV234 @ SV102 @ SV68 @ SV28 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1015]) ).
thf(1094,plain,
! [SV102: a > c > c,SV68: a > a,SV28: a > c > c,SV271: ( c > c ) > c > c] :
( ( ( ! [SV308: a] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV271 @ SV28 ) @ SV68 @ SV308 )
= ( comp_c_c_c_c_a @ SV271 @ SV102 @ SV308 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV28 @ SV68 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) )
= ( SV102 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1016]) ).
thf(1095,plain,
! [SV102: a > c > c,SV68: a > a,SV28: a > c > c,SV271: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV271 @ SV28 ) @ SV68 )
= ( comp_c_c_c_c_a @ SV271 @ SV102 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV28 @ SV68 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) )
= ( SV102 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1016]) ).
thf(1096,plain,
! [SV102: a > c > c,SV272: a,SV68: a > a,SV28: a > c > c,SV208: ( c > c ) > c > c] :
( ( ( ! [SV309: c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV208 @ SV28 ) @ SV68 @ SV272 @ SV309 )
= ( comp_c_c_c_c_a @ SV208 @ SV102 @ SV272 @ SV309 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV28 @ SV68 )
= SV102 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1017]) ).
thf(1097,plain,
! [SV102: a > c > c,SV272: a,SV68: a > a,SV28: a > c > c,SV208: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV208 @ SV28 ) @ SV68 @ SV272 )
= ( comp_c_c_c_c_a @ SV208 @ SV102 @ SV272 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV28 @ SV68 )
= SV102 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1017]) ).
thf(1098,plain,
! [SV103: a > c > c,SV310: a > a,SV69: a > a,SV29: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SV310 ) )
= ( comp_a_c_c_a @ SV103 @ SV310 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV29 @ SV69 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) @ ( sK31_SV236 @ SV103 @ SV69 @ SV29 ) )
= ( SV103 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) @ ( sK31_SV236 @ SV103 @ SV69 @ SV29 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1018]) ).
thf(1099,plain,
! [SV103: a > c > c,SV273: a > a,SV69: a > a,SV29: a > c > c] :
( ( ( ! [SV311: a] :
( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SV273 ) @ SV311 )
= ( comp_a_c_c_a @ SV103 @ SV273 @ SV311 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV29 @ SV69 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) )
= ( SV103 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1019]) ).
thf(1100,plain,
! [SV103: a > c > c,SV273: a > a,SV69: a > a,SV29: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SV273 ) )
= ( comp_a_c_c_a @ SV103 @ SV273 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV29 @ SV69 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) )
= ( SV103 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1019]) ).
thf(1101,plain,
! [SV103: a > c > c,SV274: a,SV209: a > a,SV69: a > a,SV29: a > c > c] :
( ( ( ! [SV312: c] :
( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SV209 ) @ SV274 @ SV312 )
= ( comp_a_c_c_a @ SV103 @ SV209 @ SV274 @ SV312 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV29 @ SV69 )
= SV103 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1020]) ).
thf(1102,plain,
! [SV103: a > c > c,SV274: a,SV209: a > a,SV69: a > a,SV29: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SV209 ) @ SV274 )
= ( comp_a_c_c_a @ SV103 @ SV209 @ SV274 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV29 @ SV69 )
= SV103 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1020]) ).
thf(1103,plain,
! [SV104: a > c > c,SV313: a > a,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SV313 ) )
= ( comp_a_c_c_a @ SV104 @ SV313 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) @ ( sK32_SV238 @ SV104 @ SV70 @ SV30 ) )
= ( SV104 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) @ ( sK32_SV238 @ SV104 @ SV70 @ SV30 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1021]) ).
thf(1104,plain,
! [SV104: a > c > c,SV275: a > a,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ! [SV314: a] :
( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SV275 ) @ SV314 )
= ( comp_a_c_c_a @ SV104 @ SV275 @ SV314 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) )
= ( SV104 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1022]) ).
thf(1105,plain,
! [SV104: a > c > c,SV275: a > a,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SV275 ) )
= ( comp_a_c_c_a @ SV104 @ SV275 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) )
= ( SV104 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1022]) ).
thf(1106,plain,
! [SV104: a > c > c,SV276: a,SV210: a > a,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ! [SV315: c] :
( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SV210 ) @ SV276 @ SV315 )
= ( comp_a_c_c_a @ SV104 @ SV210 @ SV276 @ SV315 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 )
= SV104 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1023]) ).
thf(1107,plain,
! [SV104: a > c > c,SV276: a,SV210: a > a,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SV210 ) @ SV276 )
= ( comp_a_c_c_a @ SV104 @ SV210 @ SV276 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 )
= SV104 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1023]) ).
thf(1108,plain,
! [SV105: a > c > c,SV316: b > a,SV71: a > a,SV31: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SV316 ) )
= ( comp_a_c_c_b @ SV105 @ SV316 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV31 @ SV71 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) @ ( sK33_SV240 @ SV105 @ SV71 @ SV31 ) )
= ( SV105 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) @ ( sK33_SV240 @ SV105 @ SV71 @ SV31 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1024]) ).
thf(1109,plain,
! [SV105: a > c > c,SV277: b > a,SV71: a > a,SV31: a > c > c] :
( ( ( ! [SV317: b] :
( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SV277 ) @ SV317 )
= ( comp_a_c_c_b @ SV105 @ SV277 @ SV317 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV31 @ SV71 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) )
= ( SV105 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1025]) ).
thf(1110,plain,
! [SV105: a > c > c,SV277: b > a,SV71: a > a,SV31: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SV277 ) )
= ( comp_a_c_c_b @ SV105 @ SV277 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV31 @ SV71 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) )
= ( SV105 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1025]) ).
thf(1111,plain,
! [SV105: a > c > c,SV278: b,SV211: b > a,SV71: a > a,SV31: a > c > c] :
( ( ( ! [SV318: c] :
( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SV211 ) @ SV278 @ SV318 )
= ( comp_a_c_c_b @ SV105 @ SV211 @ SV278 @ SV318 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV31 @ SV71 )
= SV105 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1026]) ).
thf(1112,plain,
! [SV105: a > c > c,SV278: b,SV211: b > a,SV71: a > a,SV31: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SV211 ) @ SV278 )
= ( comp_a_c_c_b @ SV105 @ SV211 @ SV278 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV31 @ SV71 )
= SV105 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1026]) ).
thf(1113,plain,
! [SV166: b > a,SV141: a > c > c,SV108: b,SV74: b > a,SV34: a > c > c] :
( ( ( ! [SV319: c] :
( ( comp_a_c_c_b @ SV34 @ SV74 @ SV108 @ SV319 )
= ( comp_a_c_c_b @ SV141 @ SV166 @ SV108 @ SV319 ) ) )
= $true )
| ( ( ( SV34 @ ( SV74 @ SV108 ) @ ( sK34_SV242 @ SV166 @ SV141 @ SV108 @ SV74 @ SV34 ) )
= ( SV141 @ ( SV166 @ SV108 ) @ ( sK34_SV242 @ SV166 @ SV141 @ SV108 @ SV74 @ SV34 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1027]) ).
thf(1114,plain,
! [SV166: b > a,SV141: a > c > c,SV108: b,SV74: b > a,SV34: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV34 @ SV74 @ SV108 )
= ( comp_a_c_c_b @ SV141 @ SV166 @ SV108 ) )
= $true )
| ( ( ( SV34 @ ( SV74 @ SV108 ) @ ( sK34_SV242 @ SV166 @ SV141 @ SV108 @ SV74 @ SV34 ) )
= ( SV141 @ ( SV166 @ SV108 ) @ ( sK34_SV242 @ SV166 @ SV141 @ SV108 @ SV74 @ SV34 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1027]) ).
thf(1115,plain,
! [SV166: b > a,SV141: a > c > c,SV320: c,SV108: b,SV74: b > a,SV34: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV34 @ SV74 @ SV108 @ SV320 )
= ( comp_a_c_c_b @ SV141 @ SV166 @ SV108 @ SV320 ) )
= $true )
| ( ( ( SV34 @ ( SV74 @ SV108 ) )
= ( SV141 @ ( SV166 @ SV108 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1028]) ).
thf(1116,plain,
! [SV167: a > a,SV142: a > c > c,SV109: a,SV75: a > a,SV35: a > c > c] :
( ( ( ! [SV321: c] :
( ( comp_a_c_c_a @ SV35 @ SV75 @ SV109 @ SV321 )
= ( comp_a_c_c_a @ SV142 @ SV167 @ SV109 @ SV321 ) ) )
= $true )
| ( ( ( SV35 @ ( SV75 @ SV109 ) @ ( sK35_SV243 @ SV167 @ SV142 @ SV109 @ SV75 @ SV35 ) )
= ( SV142 @ ( SV167 @ SV109 ) @ ( sK35_SV243 @ SV167 @ SV142 @ SV109 @ SV75 @ SV35 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1030]) ).
thf(1117,plain,
! [SV167: a > a,SV142: a > c > c,SV109: a,SV75: a > a,SV35: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV35 @ SV75 @ SV109 )
= ( comp_a_c_c_a @ SV142 @ SV167 @ SV109 ) )
= $true )
| ( ( ( SV35 @ ( SV75 @ SV109 ) @ ( sK35_SV243 @ SV167 @ SV142 @ SV109 @ SV75 @ SV35 ) )
= ( SV142 @ ( SV167 @ SV109 ) @ ( sK35_SV243 @ SV167 @ SV142 @ SV109 @ SV75 @ SV35 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1030]) ).
thf(1118,plain,
! [SV167: a > a,SV142: a > c > c,SV322: c,SV109: a,SV75: a > a,SV35: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV35 @ SV75 @ SV109 @ SV322 )
= ( comp_a_c_c_a @ SV142 @ SV167 @ SV109 @ SV322 ) )
= $true )
| ( ( ( SV35 @ ( SV75 @ SV109 ) )
= ( SV142 @ ( SV167 @ SV109 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1031]) ).
thf(1119,plain,
! [SV110: b > c > c,SV323: b,SV76: b > a,SV36: a > c > c] :
( ( ( ( SV36 @ ( SV76 @ SV323 ) )
= ( SV110 @ SV323 ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV36 @ SV76 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) @ ( sK36_SV244 @ SV110 @ SV76 @ SV36 ) )
= ( SV110 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) @ ( sK36_SV244 @ SV110 @ SV76 @ SV36 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1033]) ).
thf(1120,plain,
! [SV110: b > c > c,SV281: b,SV76: b > a,SV36: a > c > c] :
( ( ( ! [SV324: c] :
( ( SV36 @ ( SV76 @ SV281 ) @ SV324 )
= ( SV110 @ SV281 @ SV324 ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV36 @ SV76 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) )
= ( SV110 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1034]) ).
thf(1121,plain,
! [SV110: b > c > c,SV281: b,SV76: b > a,SV36: a > c > c] :
( ( ( ( SV36 @ ( SV76 @ SV281 ) )
= ( SV110 @ SV281 ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV36 @ SV76 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) )
= ( SV110 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1034]) ).
thf(1122,plain,
! [SV111: a > c > c,SV325: a,SV77: a > a,SV37: a > c > c] :
( ( ( ( SV37 @ ( SV77 @ SV325 ) )
= ( SV111 @ SV325 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV37 @ SV77 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) @ ( sK37_SV246 @ SV111 @ SV77 @ SV37 ) )
= ( SV111 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) @ ( sK37_SV246 @ SV111 @ SV77 @ SV37 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1036]) ).
thf(1123,plain,
! [SV111: a > c > c,SV283: a,SV77: a > a,SV37: a > c > c] :
( ( ( ! [SV326: c] :
( ( SV37 @ ( SV77 @ SV283 ) @ SV326 )
= ( SV111 @ SV283 @ SV326 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV37 @ SV77 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) )
= ( SV111 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1037]) ).
thf(1124,plain,
! [SV111: a > c > c,SV283: a,SV77: a > a,SV37: a > c > c] :
( ( ( ( SV37 @ ( SV77 @ SV283 ) )
= ( SV111 @ SV283 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV37 @ SV77 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) )
= ( SV111 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1037]) ).
thf(1125,plain,
! [SV112: a > c > c,SV143: b > a,SV78: b > a,SV38: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV38 @ SV78 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) @ ( sK41_SV285 @ SV112 @ SV143 @ SV78 @ SV38 ) )
= ( comp_a_c_c_b @ SV112 @ SV143 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) @ ( sK41_SV285 @ SV112 @ SV143 @ SV78 @ SV38 ) ) )
= $false )
| ( ( ! [SY495: b] :
( ( SV38 @ ( SV78 @ SY495 ) )
= ( SV112 @ ( SV143 @ SY495 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1039]) ).
thf(1126,plain,
! [SV143: b > a,SV112: a > c > c,SV327: b,SV78: b > a,SV38: a > c > c] :
( ( ( ( SV38 @ ( SV78 @ SV327 ) )
= ( SV112 @ ( SV143 @ SV327 ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV38 @ SV78 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) )
= ( comp_a_c_c_b @ SV112 @ SV143 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1040]) ).
thf(1127,plain,
! [SV143: b > a,SV112: a > c > c,SV328: c,SV248: b,SV78: b > a,SV38: a > c > c] :
( ( ( ( SV38 @ ( SV78 @ SV248 ) @ SV328 )
= ( SV112 @ ( SV143 @ SV248 ) @ SV328 ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV38 @ SV78 )
= ( comp_a_c_c_b @ SV112 @ SV143 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1041]) ).
thf(1128,plain,
! [SV113: a > c > c,SV144: a > a,SV79: a > a,SV39: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV39 @ SV79 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) @ ( sK42_SV287 @ SV113 @ SV144 @ SV79 @ SV39 ) )
= ( comp_a_c_c_a @ SV113 @ SV144 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) @ ( sK42_SV287 @ SV113 @ SV144 @ SV79 @ SV39 ) ) )
= $false )
| ( ( ! [SY496: a] :
( ( SV39 @ ( SV79 @ SY496 ) )
= ( SV113 @ ( SV144 @ SY496 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1043]) ).
thf(1129,plain,
! [SV144: a > a,SV113: a > c > c,SV329: a,SV79: a > a,SV39: a > c > c] :
( ( ( ( SV39 @ ( SV79 @ SV329 ) )
= ( SV113 @ ( SV144 @ SV329 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV39 @ SV79 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) )
= ( comp_a_c_c_a @ SV113 @ SV144 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1044]) ).
thf(1130,plain,
! [SV144: a > a,SV113: a > c > c,SV330: c,SV249: a,SV79: a > a,SV39: a > c > c] :
( ( ( ( SV39 @ ( SV79 @ SV249 ) @ SV330 )
= ( SV113 @ ( SV144 @ SV249 ) @ SV330 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV39 @ SV79 )
= ( comp_a_c_c_a @ SV113 @ SV144 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1045]) ).
thf(1131,plain,
! [SV114: a > c > c,SV145: b > a,SV80: b > a,SV40: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV40 @ SV80 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) @ ( sK43_SV289 @ SV114 @ SV145 @ SV80 @ SV40 ) )
= ( comp_a_c_c_b @ SV114 @ SV145 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) @ ( sK43_SV289 @ SV114 @ SV145 @ SV80 @ SV40 ) ) )
= $false )
| ( ( ! [SY497: b] :
( ( SV40 @ ( SV80 @ SY497 ) )
= ( SV114 @ ( SV145 @ SY497 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1047]) ).
thf(1132,plain,
! [SV145: b > a,SV114: a > c > c,SV331: b,SV80: b > a,SV40: a > c > c] :
( ( ( ( SV40 @ ( SV80 @ SV331 ) )
= ( SV114 @ ( SV145 @ SV331 ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV40 @ SV80 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) )
= ( comp_a_c_c_b @ SV114 @ SV145 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1048]) ).
thf(1133,plain,
! [SV145: b > a,SV114: a > c > c,SV332: c,SV250: b,SV80: b > a,SV40: a > c > c] :
( ( ( ( SV40 @ ( SV80 @ SV250 ) @ SV332 )
= ( SV114 @ ( SV145 @ SV250 ) @ SV332 ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV40 @ SV80 )
= ( comp_a_c_c_b @ SV114 @ SV145 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1049]) ).
thf(1134,plain,
! [SV115: a > c > c,SV146: a > a,SV81: a > a,SV41: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV41 @ SV81 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) @ ( sK44_SV291 @ SV115 @ SV146 @ SV81 @ SV41 ) )
= ( comp_a_c_c_a @ SV115 @ SV146 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) @ ( sK44_SV291 @ SV115 @ SV146 @ SV81 @ SV41 ) ) )
= $false )
| ( ( ! [SY498: a] :
( ( SV41 @ ( SV81 @ SY498 ) )
= ( SV115 @ ( SV146 @ SY498 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1051]) ).
thf(1135,plain,
! [SV146: a > a,SV115: a > c > c,SV333: a,SV81: a > a,SV41: a > c > c] :
( ( ( ( SV41 @ ( SV81 @ SV333 ) )
= ( SV115 @ ( SV146 @ SV333 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV41 @ SV81 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) )
= ( comp_a_c_c_a @ SV115 @ SV146 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1052]) ).
thf(1136,plain,
! [SV146: a > a,SV115: a > c > c,SV334: c,SV251: a,SV81: a > a,SV41: a > c > c] :
( ( ( ( SV41 @ ( SV81 @ SV251 ) @ SV334 )
= ( SV115 @ ( SV146 @ SV251 ) @ SV334 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV41 @ SV81 )
= ( comp_a_c_c_a @ SV115 @ SV146 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1053]) ).
thf(1137,plain,
! [SV172: b > a,SV151: a > a,SV335: c,SV120: b,SV86: b > a,SV46: a > a,SV254: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV254 @ SV46 ) @ SV86 @ SV120 @ SV335 )
= ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV254 @ SV151 ) @ SV172 @ SV120 @ SV335 ) )
= $true )
| ( ( ( SV46 @ ( SV86 @ SV120 ) )
= ( SV151 @ ( SV172 @ SV120 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1055]) ).
thf(1138,plain,
! [SV173: a > a,SV152: a > a,SV336: c,SV121: a,SV87: a > a,SV47: a > a,SV255: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV255 @ SV47 ) @ SV87 @ SV121 @ SV336 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV255 @ SV152 ) @ SV173 @ SV121 @ SV336 ) )
= $true )
| ( ( ( SV47 @ ( SV87 @ SV121 ) )
= ( SV152 @ ( SV173 @ SV121 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1057]) ).
thf(1139,plain,
! [SV153: a > c > c,SV174: a > a,SV198: a,SV122: a,SV88: a > a,SV48: a > c > c] :
( ( ( ( SV48 @ ( SV88 @ SV122 ) @ ( sK45_SV295 @ SV198 @ SV174 @ SV153 @ SV122 @ SV88 @ SV48 ) )
= ( SV153 @ ( SV174 @ SV198 ) @ ( sK45_SV295 @ SV198 @ SV174 @ SV153 @ SV122 @ SV88 @ SV48 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV48 @ SV88 @ SV122 )
= ( comp_a_c_c_a @ SV153 @ SV174 @ SV198 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1059]) ).
thf(1140,plain,
! [SV198: a,SV174: a > a,SV153: a > c > c,SV122: a,SV88: a > a,SV48: a > c > c] :
( ( ( ! [SV337: c] :
( ( comp_a_c_c_a @ SV48 @ SV88 @ SV122 @ SV337 )
= ( comp_a_c_c_a @ SV153 @ SV174 @ SV198 @ SV337 ) ) )
= $true )
| ( ( ( SV48 @ ( SV88 @ SV122 ) )
= ( SV153 @ ( SV174 @ SV198 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1060]) ).
thf(1141,plain,
! [SV198: a,SV174: a > a,SV153: a > c > c,SV122: a,SV88: a > a,SV48: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV48 @ SV88 @ SV122 )
= ( comp_a_c_c_a @ SV153 @ SV174 @ SV198 ) )
= $true )
| ( ( ( SV48 @ ( SV88 @ SV122 ) )
= ( SV153 @ ( SV174 @ SV198 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1060]) ).
thf(1142,plain,
! [SV338: c,SV256: a,SV199: a > a,SV154: a > c > c,SV89: a > a] :
( ( ( map_fun_a_a_a_c_c @ SV89 @ SV154 @ SV199 @ SV256 @ SV338 )
= ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV154 @ SV199 ) @ SV89 @ SV256 @ SV338 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1061]) ).
thf(1143,plain,
! [SV90: a > c > c,SV50: a > a] :
( ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1063]) ).
thf(1144,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( ! [SV339: c] :
( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ SV339 )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ SV339 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1064]) ).
thf(1145,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1064]) ).
thf(1146,plain,
! [SV50: a > a,SV257: a > c > c,SV90: a > c > c] :
( ( ( ! [SV340: a] :
( ( SV90 @ SV340 )
= ( comp_a_c_c_a @ SV257 @ SV50 @ SV340 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1065]) ).
thf(1147,plain,
! [SV50: a > a,SV257: a > c > c,SV90: a > c > c] :
( ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false )
| ( ( ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1065]) ).
thf(1148,plain,
! [SV91: a > c > c] :
( ( ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) )
= $false )
| ( ( finite40241358em_a_c @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1067]) ).
thf(1149,plain,
! [SV91: a > c > c] :
( ( ( finite746615251te_a_c @ SV91 )
= $false )
| ( ( finite19304177ms_a_c @ SV91 )
= $false )
| ( ( ~ ( ~ ( finite40241358em_a_c @ SV91 )
| ~ ~ ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1068]) ).
thf(1150,plain,
! [SV92: a > c > c,SV297: a,SV52: a > c > c] :
( ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1069]) ).
thf(1151,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ! [SV341: a] :
( ( SV92 @ SV341 )
= ( comp_a_c_c_a @ SV52 @ SV258 @ SV341 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1070]) ).
thf(1152,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false )
| ( ( ~ ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1070]) ).
thf(1153,plain,
! [SV2: a > c > c,SV342: multiset_a,SV298: c,SV54: a > c > c,SV93: c > c] :
( ( ( ( SV93 @ ( fold_mset_a_c @ SV54 @ SV298 @ SV342 ) )
= ( fold_mset_a_c @ SV2 @ ( SV93 @ SV298 ) @ SV342 ) )
= $true )
| ( ( ( SV93 @ ( SV54 @ ( sK4_X2 @ SV93 @ SV54 @ SV2 ) @ ( sK5_SY196 @ SV93 @ SV54 @ SV2 ) ) )
= ( SV2 @ ( sK4_X2 @ SV93 @ SV54 @ SV2 ) @ ( SV93 @ ( sK5_SY196 @ SV93 @ SV54 @ SV2 ) ) ) )
= $false )
| ( ( finite746615251te_a_c @ SV54 )
= $false )
| ( ( finite746615251te_a_c @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1071]) ).
thf(1154,plain,
! [SV178: c,SV259: c,SV94: set_a,SV56: c,SV5: a > c > c] :
( ( ( finite1511629768ph_a_c @ SV5 @ SV56 @ SV94 @ SV259 )
= $false )
| ( ( SV259 = SV178 )
= $true )
| ( ( finite1511629768ph_a_c @ SV5 @ SV56 @ SV94 @ SV178 )
= $false )
| ( ( finite746615251te_a_c @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1072]) ).
thf(1155,plain,
! [SV343: a,SV299: a,SV58: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV58 @ SV299 ) @ ( SV58 @ SV343 ) )
= ( comp_c_c_c @ ( SV58 @ SV343 ) @ ( SV58 @ SV299 ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1073]) ).
thf(1156,plain,
! [SV58: a > c > c] :
( ( ( ~ ( finite746615251te_a_c @ SV58 )
| ~ ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) )
= $false )
| ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1074]) ).
thf(1157,plain,
! [SV58: a > c > c] :
( ( ( ~ ( finite746615251te_a_c @ SV58 ) )
= $false )
| ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1075]) ).
thf(1158,plain,
! [SV58: a > c > c] :
( ( ( ~ ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) )
= $false )
| ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1075]) ).
thf(1159,plain,
! [SV300: a,SV62: a > c > c] :
( ( ( ! [SV344: c] :
( ( comp_c_c_c @ ( SV62 @ SV300 ) @ ( SV62 @ SV300 ) @ SV344 )
= ( SV62 @ SV300 @ SV344 ) ) )
= $true )
| ( ( finite19304177ms_a_c @ SV62 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1076]) ).
thf(1160,plain,
! [SV300: a,SV62: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV62 @ SV300 ) @ ( SV62 @ SV300 ) )
= ( SV62 @ SV300 ) )
= $true )
| ( ( finite19304177ms_a_c @ SV62 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1076]) ).
thf(1161,plain,
! [SV62: a > c > c] :
( ( ( ~ ( finite19304177ms_a_c @ SV62 ) )
= $false )
| ( ( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( sK29_SV227 @ SV62 ) )
= ( SV62 @ ( sK9_SY355 @ SV62 ) @ ( sK29_SV227 @ SV62 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1077]) ).
thf(1162,plain,
! [SV62: a > c > c] :
( ( ( ~ ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) )
= $false )
| ( ( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( sK29_SV227 @ SV62 ) )
= ( SV62 @ ( sK9_SY355 @ SV62 ) @ ( sK29_SV227 @ SV62 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1077]) ).
thf(1163,plain,
! [SV62: a > c > c] :
( ( ( finite19304177ms_a_c @ SV62 )
= $true )
| ( ( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1078]) ).
thf(1164,plain,
! [SV62: a > c > c] :
( ( ( ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1079]) ).
thf(1165,plain,
! [SV135: a > a,SV63: a > a,SV23: a > a,SV301: a > c > c,SV97: a > a,SV261: a > c > c] :
( ( ( ( ( comp_a_c_c_a @ SV261 @ SV97 )
!= SV301 ) )
= $true )
| ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV301 @ SV135 ) )
= $true )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1080]) ).
thf(1166,plain,
! [SV135: a > a,SV63: a > a,SV23: a > a,SV262: a > c > c,SV97: a > a,SV228: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV228 @ SV97 )
= SV262 )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV262 @ SV135 ) )
= $true )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1081]) ).
thf(1167,plain,
! [SV136: a > a,SV64: a > a,SV24: a > c > c,SV98: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ! [SY529: a > c > c] :
( ( ( comp_c_c_c_c_a @ SV345 @ SV98 )
!= SY529 )
| ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SY529 @ SV136 ) ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1082]) ).
thf(1168,plain,
! [SV136: a > a,SV64: a > a,SV24: a > c > c,SV346: a > c > c,SV98: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 )
!= SV346 )
| ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV346 @ SV136 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1083]) ).
thf(1169,plain,
! [SV136: a > a,SV64: a > a,SV24: a > c > c,SV264: a > c > c,SV98: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 )
= SV264 )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV264 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1084]) ).
thf(1170,plain,
! [SV137: b > a,SV65: b > a,SV25: a > a,SV303: a > c > c,SV99: a > a,SV265: a > c > c] :
( ( ( ( ( comp_a_c_c_a @ SV265 @ SV99 )
!= SV303 ) )
= $true )
| ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV303 @ SV137 ) )
= $true )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1085]) ).
thf(1171,plain,
! [SV137: b > a,SV65: b > a,SV25: a > a,SV266: a > c > c,SV99: a > a,SV230: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV230 @ SV99 )
= SV266 )
= $false )
| ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV266 @ SV137 ) )
= $true )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1086]) ).
thf(1172,plain,
! [SV100: a > c > c,SV66: a > a,SV26: a > c > c,SV347: a > a,SV138: a > a] :
( ( ( ! [SY530: a > a] :
( ( ( comp_a_a_a @ SV138 @ SV347 )
!= SY530 )
| ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV347 ) )
= ( comp_a_c_c_a @ SV100 @ SY530 ) ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1087]) ).
thf(1173,plain,
! [SV100: a > c > c,SV66: a > a,SV26: a > c > c,SV348: a > a,SV304: a > a,SV138: a > a] :
( ( ( ( ( comp_a_a_a @ SV138 @ SV304 )
!= SV348 )
| ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV304 ) )
= ( comp_a_c_c_a @ SV100 @ SV348 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1088]) ).
thf(1174,plain,
! [SV100: a > c > c,SV66: a > a,SV26: a > c > c,SV268: a > a,SV231: a > a,SV138: a > a] :
( ( ( ( comp_a_a_a @ SV138 @ SV231 )
= SV268 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV231 ) )
= ( comp_a_c_c_a @ SV100 @ SV268 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
= ( comp_a_c_c_a @ SV100 @ SV138 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1089]) ).
thf(1175,plain,
! [SV101: a > a,SV305: a,SV67: a > a,SV27: a > a,SV232: a > c > c] :
( ( ( ! [SV349: c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV232 @ SV27 ) @ SV67 @ SV305 @ SV349 )
= ( comp_a_c_c_a @ SV232 @ SV101 @ SV305 @ SV349 ) ) )
= $true )
| ( ( ( comp_a_a_a @ SV27 @ SV67 @ ( sK10_SV185 @ SV101 @ SV67 @ SV27 ) )
= ( SV101 @ ( sK10_SV185 @ SV101 @ SV67 @ SV27 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1090]) ).
thf(1176,plain,
! [SV101: a > a,SV305: a,SV67: a > a,SV27: a > a,SV232: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV232 @ SV27 ) @ SV67 @ SV305 )
= ( comp_a_c_c_a @ SV232 @ SV101 @ SV305 ) )
= $true )
| ( ( ( comp_a_a_a @ SV27 @ SV67 @ ( sK10_SV185 @ SV101 @ SV67 @ SV27 ) )
= ( SV101 @ ( sK10_SV185 @ SV101 @ SV67 @ SV27 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1090]) ).
thf(1177,plain,
! [SV101: a > a,SV350: c,SV270: a,SV67: a > a,SV27: a > a,SV207: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV207 @ SV27 ) @ SV67 @ SV270 @ SV350 )
= ( comp_a_c_c_a @ SV207 @ SV101 @ SV270 @ SV350 ) )
= $true )
| ( ( ( comp_a_a_a @ SV27 @ SV67 )
= SV101 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1091]) ).
thf(1178,plain,
! [SV102: a > c > c,SV68: a > a,SV28: a > c > c,SV307: ( c > c ) > c > c] :
( ( ( ! [SV351: a] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV307 @ SV28 ) @ SV68 @ SV351 )
= ( comp_c_c_c_c_a @ SV307 @ SV102 @ SV351 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV28 @ SV68 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) @ ( sK30_SV234 @ SV102 @ SV68 @ SV28 ) )
= ( SV102 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) @ ( sK30_SV234 @ SV102 @ SV68 @ SV28 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1093]) ).
thf(1179,plain,
! [SV102: a > c > c,SV68: a > a,SV28: a > c > c,SV307: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV307 @ SV28 ) @ SV68 )
= ( comp_c_c_c_c_a @ SV307 @ SV102 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV28 @ SV68 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) @ ( sK30_SV234 @ SV102 @ SV68 @ SV28 ) )
= ( SV102 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) @ ( sK30_SV234 @ SV102 @ SV68 @ SV28 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1093]) ).
thf(1180,plain,
! [SV102: a > c > c,SV352: a,SV68: a > a,SV28: a > c > c,SV271: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV271 @ SV28 ) @ SV68 @ SV352 )
= ( comp_c_c_c_c_a @ SV271 @ SV102 @ SV352 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV28 @ SV68 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) )
= ( SV102 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1094]) ).
thf(1181,plain,
! [SV102: a > c > c,SV353: c,SV272: a,SV68: a > a,SV28: a > c > c,SV208: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV208 @ SV28 ) @ SV68 @ SV272 @ SV353 )
= ( comp_c_c_c_c_a @ SV208 @ SV102 @ SV272 @ SV353 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV28 @ SV68 )
= SV102 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1096]) ).
thf(1182,plain,
! [SV103: a > c > c,SV310: a > a,SV69: a > a,SV29: a > c > c] :
( ( ( ! [SV354: a] :
( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SV310 ) @ SV354 )
= ( comp_a_c_c_a @ SV103 @ SV310 @ SV354 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV29 @ SV69 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) @ ( sK31_SV236 @ SV103 @ SV69 @ SV29 ) )
= ( SV103 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) @ ( sK31_SV236 @ SV103 @ SV69 @ SV29 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1098]) ).
thf(1183,plain,
! [SV103: a > c > c,SV310: a > a,SV69: a > a,SV29: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SV310 ) )
= ( comp_a_c_c_a @ SV103 @ SV310 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV29 @ SV69 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) @ ( sK31_SV236 @ SV103 @ SV69 @ SV29 ) )
= ( SV103 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) @ ( sK31_SV236 @ SV103 @ SV69 @ SV29 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1098]) ).
thf(1184,plain,
! [SV103: a > c > c,SV355: a,SV273: a > a,SV69: a > a,SV29: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SV273 ) @ SV355 )
= ( comp_a_c_c_a @ SV103 @ SV273 @ SV355 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV29 @ SV69 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) )
= ( SV103 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1099]) ).
thf(1185,plain,
! [SV103: a > c > c,SV356: c,SV274: a,SV209: a > a,SV69: a > a,SV29: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SV209 ) @ SV274 @ SV356 )
= ( comp_a_c_c_a @ SV103 @ SV209 @ SV274 @ SV356 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV29 @ SV69 )
= SV103 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1101]) ).
thf(1186,plain,
! [SV104: a > c > c,SV313: a > a,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ! [SV357: a] :
( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SV313 ) @ SV357 )
= ( comp_a_c_c_a @ SV104 @ SV313 @ SV357 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) @ ( sK32_SV238 @ SV104 @ SV70 @ SV30 ) )
= ( SV104 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) @ ( sK32_SV238 @ SV104 @ SV70 @ SV30 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1103]) ).
thf(1187,plain,
! [SV104: a > c > c,SV313: a > a,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SV313 ) )
= ( comp_a_c_c_a @ SV104 @ SV313 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) @ ( sK32_SV238 @ SV104 @ SV70 @ SV30 ) )
= ( SV104 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) @ ( sK32_SV238 @ SV104 @ SV70 @ SV30 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1103]) ).
thf(1188,plain,
! [SV104: a > c > c,SV358: a,SV275: a > a,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SV275 ) @ SV358 )
= ( comp_a_c_c_a @ SV104 @ SV275 @ SV358 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) )
= ( SV104 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1104]) ).
thf(1189,plain,
! [SV104: a > c > c,SV359: c,SV276: a,SV210: a > a,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SV210 ) @ SV276 @ SV359 )
= ( comp_a_c_c_a @ SV104 @ SV210 @ SV276 @ SV359 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 )
= SV104 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1106]) ).
thf(1190,plain,
! [SV105: a > c > c,SV316: b > a,SV71: a > a,SV31: a > c > c] :
( ( ( ! [SV360: b] :
( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SV316 ) @ SV360 )
= ( comp_a_c_c_b @ SV105 @ SV316 @ SV360 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV31 @ SV71 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) @ ( sK33_SV240 @ SV105 @ SV71 @ SV31 ) )
= ( SV105 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) @ ( sK33_SV240 @ SV105 @ SV71 @ SV31 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1108]) ).
thf(1191,plain,
! [SV105: a > c > c,SV316: b > a,SV71: a > a,SV31: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SV316 ) )
= ( comp_a_c_c_b @ SV105 @ SV316 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV31 @ SV71 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) @ ( sK33_SV240 @ SV105 @ SV71 @ SV31 ) )
= ( SV105 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) @ ( sK33_SV240 @ SV105 @ SV71 @ SV31 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1108]) ).
thf(1192,plain,
! [SV105: a > c > c,SV361: b,SV277: b > a,SV71: a > a,SV31: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SV277 ) @ SV361 )
= ( comp_a_c_c_b @ SV105 @ SV277 @ SV361 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV31 @ SV71 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) )
= ( SV105 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1109]) ).
thf(1193,plain,
! [SV105: a > c > c,SV362: c,SV278: b,SV211: b > a,SV71: a > a,SV31: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SV211 ) @ SV278 @ SV362 )
= ( comp_a_c_c_b @ SV105 @ SV211 @ SV278 @ SV362 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV31 @ SV71 )
= SV105 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1111]) ).
thf(1194,plain,
! [SV166: b > a,SV141: a > c > c,SV363: c,SV108: b,SV74: b > a,SV34: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV34 @ SV74 @ SV108 @ SV363 )
= ( comp_a_c_c_b @ SV141 @ SV166 @ SV108 @ SV363 ) )
= $true )
| ( ( ( SV34 @ ( SV74 @ SV108 ) @ ( sK34_SV242 @ SV166 @ SV141 @ SV108 @ SV74 @ SV34 ) )
= ( SV141 @ ( SV166 @ SV108 ) @ ( sK34_SV242 @ SV166 @ SV141 @ SV108 @ SV74 @ SV34 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1113]) ).
thf(1195,plain,
! [SV167: a > a,SV142: a > c > c,SV364: c,SV109: a,SV75: a > a,SV35: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV35 @ SV75 @ SV109 @ SV364 )
= ( comp_a_c_c_a @ SV142 @ SV167 @ SV109 @ SV364 ) )
= $true )
| ( ( ( SV35 @ ( SV75 @ SV109 ) @ ( sK35_SV243 @ SV167 @ SV142 @ SV109 @ SV75 @ SV35 ) )
= ( SV142 @ ( SV167 @ SV109 ) @ ( sK35_SV243 @ SV167 @ SV142 @ SV109 @ SV75 @ SV35 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1116]) ).
thf(1196,plain,
! [SV110: b > c > c,SV323: b,SV76: b > a,SV36: a > c > c] :
( ( ( ! [SV365: c] :
( ( SV36 @ ( SV76 @ SV323 ) @ SV365 )
= ( SV110 @ SV323 @ SV365 ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV36 @ SV76 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) @ ( sK36_SV244 @ SV110 @ SV76 @ SV36 ) )
= ( SV110 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) @ ( sK36_SV244 @ SV110 @ SV76 @ SV36 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1119]) ).
thf(1197,plain,
! [SV110: b > c > c,SV323: b,SV76: b > a,SV36: a > c > c] :
( ( ( ( SV36 @ ( SV76 @ SV323 ) )
= ( SV110 @ SV323 ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV36 @ SV76 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) @ ( sK36_SV244 @ SV110 @ SV76 @ SV36 ) )
= ( SV110 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) @ ( sK36_SV244 @ SV110 @ SV76 @ SV36 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1119]) ).
thf(1198,plain,
! [SV110: b > c > c,SV366: c,SV281: b,SV76: b > a,SV36: a > c > c] :
( ( ( ( SV36 @ ( SV76 @ SV281 ) @ SV366 )
= ( SV110 @ SV281 @ SV366 ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV36 @ SV76 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) )
= ( SV110 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1120]) ).
thf(1199,plain,
! [SV111: a > c > c,SV325: a,SV77: a > a,SV37: a > c > c] :
( ( ( ! [SV367: c] :
( ( SV37 @ ( SV77 @ SV325 ) @ SV367 )
= ( SV111 @ SV325 @ SV367 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV37 @ SV77 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) @ ( sK37_SV246 @ SV111 @ SV77 @ SV37 ) )
= ( SV111 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) @ ( sK37_SV246 @ SV111 @ SV77 @ SV37 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1122]) ).
thf(1200,plain,
! [SV111: a > c > c,SV325: a,SV77: a > a,SV37: a > c > c] :
( ( ( ( SV37 @ ( SV77 @ SV325 ) )
= ( SV111 @ SV325 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV37 @ SV77 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) @ ( sK37_SV246 @ SV111 @ SV77 @ SV37 ) )
= ( SV111 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) @ ( sK37_SV246 @ SV111 @ SV77 @ SV37 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1122]) ).
thf(1201,plain,
! [SV111: a > c > c,SV368: c,SV283: a,SV77: a > a,SV37: a > c > c] :
( ( ( ( SV37 @ ( SV77 @ SV283 ) @ SV368 )
= ( SV111 @ SV283 @ SV368 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV37 @ SV77 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) )
= ( SV111 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1123]) ).
thf(1202,plain,
! [SV143: b > a,SV112: a > c > c,SV369: b,SV78: b > a,SV38: a > c > c] :
( ( ( ( SV38 @ ( SV78 @ SV369 ) )
= ( SV112 @ ( SV143 @ SV369 ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV38 @ SV78 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) @ ( sK41_SV285 @ SV112 @ SV143 @ SV78 @ SV38 ) )
= ( comp_a_c_c_b @ SV112 @ SV143 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) @ ( sK41_SV285 @ SV112 @ SV143 @ SV78 @ SV38 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1125]) ).
thf(1203,plain,
! [SV143: b > a,SV112: a > c > c,SV327: b,SV78: b > a,SV38: a > c > c] :
( ( ( ! [SV370: c] :
( ( SV38 @ ( SV78 @ SV327 ) @ SV370 )
= ( SV112 @ ( SV143 @ SV327 ) @ SV370 ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV38 @ SV78 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) )
= ( comp_a_c_c_b @ SV112 @ SV143 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1126]) ).
thf(1204,plain,
! [SV143: b > a,SV112: a > c > c,SV327: b,SV78: b > a,SV38: a > c > c] :
( ( ( ( SV38 @ ( SV78 @ SV327 ) )
= ( SV112 @ ( SV143 @ SV327 ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV38 @ SV78 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) )
= ( comp_a_c_c_b @ SV112 @ SV143 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1126]) ).
thf(1205,plain,
! [SV144: a > a,SV113: a > c > c,SV371: a,SV79: a > a,SV39: a > c > c] :
( ( ( ( SV39 @ ( SV79 @ SV371 ) )
= ( SV113 @ ( SV144 @ SV371 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV39 @ SV79 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) @ ( sK42_SV287 @ SV113 @ SV144 @ SV79 @ SV39 ) )
= ( comp_a_c_c_a @ SV113 @ SV144 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) @ ( sK42_SV287 @ SV113 @ SV144 @ SV79 @ SV39 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1128]) ).
thf(1206,plain,
! [SV144: a > a,SV113: a > c > c,SV329: a,SV79: a > a,SV39: a > c > c] :
( ( ( ! [SV372: c] :
( ( SV39 @ ( SV79 @ SV329 ) @ SV372 )
= ( SV113 @ ( SV144 @ SV329 ) @ SV372 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV39 @ SV79 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) )
= ( comp_a_c_c_a @ SV113 @ SV144 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1129]) ).
thf(1207,plain,
! [SV144: a > a,SV113: a > c > c,SV329: a,SV79: a > a,SV39: a > c > c] :
( ( ( ( SV39 @ ( SV79 @ SV329 ) )
= ( SV113 @ ( SV144 @ SV329 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV39 @ SV79 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) )
= ( comp_a_c_c_a @ SV113 @ SV144 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1129]) ).
thf(1208,plain,
! [SV145: b > a,SV114: a > c > c,SV373: b,SV80: b > a,SV40: a > c > c] :
( ( ( ( SV40 @ ( SV80 @ SV373 ) )
= ( SV114 @ ( SV145 @ SV373 ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV40 @ SV80 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) @ ( sK43_SV289 @ SV114 @ SV145 @ SV80 @ SV40 ) )
= ( comp_a_c_c_b @ SV114 @ SV145 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) @ ( sK43_SV289 @ SV114 @ SV145 @ SV80 @ SV40 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1131]) ).
thf(1209,plain,
! [SV145: b > a,SV114: a > c > c,SV331: b,SV80: b > a,SV40: a > c > c] :
( ( ( ! [SV374: c] :
( ( SV40 @ ( SV80 @ SV331 ) @ SV374 )
= ( SV114 @ ( SV145 @ SV331 ) @ SV374 ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV40 @ SV80 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) )
= ( comp_a_c_c_b @ SV114 @ SV145 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1132]) ).
thf(1210,plain,
! [SV145: b > a,SV114: a > c > c,SV331: b,SV80: b > a,SV40: a > c > c] :
( ( ( ( SV40 @ ( SV80 @ SV331 ) )
= ( SV114 @ ( SV145 @ SV331 ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV40 @ SV80 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) )
= ( comp_a_c_c_b @ SV114 @ SV145 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1132]) ).
thf(1211,plain,
! [SV146: a > a,SV115: a > c > c,SV375: a,SV81: a > a,SV41: a > c > c] :
( ( ( ( SV41 @ ( SV81 @ SV375 ) )
= ( SV115 @ ( SV146 @ SV375 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV41 @ SV81 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) @ ( sK44_SV291 @ SV115 @ SV146 @ SV81 @ SV41 ) )
= ( comp_a_c_c_a @ SV115 @ SV146 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) @ ( sK44_SV291 @ SV115 @ SV146 @ SV81 @ SV41 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1134]) ).
thf(1212,plain,
! [SV146: a > a,SV115: a > c > c,SV333: a,SV81: a > a,SV41: a > c > c] :
( ( ( ! [SV376: c] :
( ( SV41 @ ( SV81 @ SV333 ) @ SV376 )
= ( SV115 @ ( SV146 @ SV333 ) @ SV376 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV41 @ SV81 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) )
= ( comp_a_c_c_a @ SV115 @ SV146 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1135]) ).
thf(1213,plain,
! [SV146: a > a,SV115: a > c > c,SV333: a,SV81: a > a,SV41: a > c > c] :
( ( ( ( SV41 @ ( SV81 @ SV333 ) )
= ( SV115 @ ( SV146 @ SV333 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV41 @ SV81 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) )
= ( comp_a_c_c_a @ SV115 @ SV146 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1135]) ).
thf(1214,plain,
! [SV198: a,SV174: a > a,SV153: a > c > c,SV122: a,SV88: a > a,SV48: a > c > c] :
( ( ( ! [SV377: c] :
( ( comp_a_c_c_a @ SV48 @ SV88 @ SV122 @ SV377 )
= ( comp_a_c_c_a @ SV153 @ SV174 @ SV198 @ SV377 ) ) )
= $true )
| ( ( ( SV48 @ ( SV88 @ SV122 ) @ ( sK45_SV295 @ SV198 @ SV174 @ SV153 @ SV122 @ SV88 @ SV48 ) )
= ( SV153 @ ( SV174 @ SV198 ) @ ( sK45_SV295 @ SV198 @ SV174 @ SV153 @ SV122 @ SV88 @ SV48 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1139]) ).
thf(1215,plain,
! [SV198: a,SV174: a > a,SV153: a > c > c,SV122: a,SV88: a > a,SV48: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV48 @ SV88 @ SV122 )
= ( comp_a_c_c_a @ SV153 @ SV174 @ SV198 ) )
= $true )
| ( ( ( SV48 @ ( SV88 @ SV122 ) @ ( sK45_SV295 @ SV198 @ SV174 @ SV153 @ SV122 @ SV88 @ SV48 ) )
= ( SV153 @ ( SV174 @ SV198 ) @ ( sK45_SV295 @ SV198 @ SV174 @ SV153 @ SV122 @ SV88 @ SV48 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1139]) ).
thf(1216,plain,
! [SV198: a,SV174: a > a,SV153: a > c > c,SV378: c,SV122: a,SV88: a > a,SV48: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV48 @ SV88 @ SV122 @ SV378 )
= ( comp_a_c_c_a @ SV153 @ SV174 @ SV198 @ SV378 ) )
= $true )
| ( ( ( SV48 @ ( SV88 @ SV122 ) )
= ( SV153 @ ( SV174 @ SV198 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1140]) ).
thf(1217,plain,
! [SV90: a > c > c,SV50: a > a] :
( ( ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $false )
| ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1143]) ).
thf(1218,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1144]) ).
thf(1219,plain,
! [SV90: a > c > c,SV50: a > a] :
( ( ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $false )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1145]) ).
thf(1220,plain,
! [SV257: a > c > c,SV50: a > a,SV90: a > c > c] :
( ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1146]) ).
thf(1221,plain,
! [SV257: a > c > c,SV90: a > c > c,SV50: a > a] :
( ( ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $false )
| ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1147]) ).
thf(1222,plain,
! [SV91: a > c > c] :
( ( ( ~ ( finite19304177ms_a_c @ SV91 ) )
= $false )
| ( ( finite40241358em_a_c @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1148]) ).
thf(1223,plain,
! [SV91: a > c > c] :
( ( ( ~ ( finite746615251te_a_c @ SV91 ) )
= $false )
| ( ( finite40241358em_a_c @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1148]) ).
thf(1224,plain,
! [SV91: a > c > c] :
( ( ( ~ ( finite40241358em_a_c @ SV91 )
| ~ ~ ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) ) )
= $false )
| ( ( finite19304177ms_a_c @ SV91 )
= $false )
| ( ( finite746615251te_a_c @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1149]) ).
thf(1225,plain,
! [SV92: a > c > c,SV297: a,SV52: a > c > c] :
( ( ( ! [SV379: c] :
( ( SV52 @ SV297 @ SV379 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ SV379 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1150]) ).
thf(1226,plain,
! [SV92: a > c > c,SV297: a,SV52: a > c > c] :
( ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1150]) ).
thf(1227,plain,
! [SV52: a > c > c,SV258: a > a,SV92: a > c > c] :
( ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1151]) ).
thf(1228,plain,
! [SV258: a > a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $false )
| ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1152]) ).
thf(1229,plain,
! [SV343: a,SV299: a,SV58: a > c > c] :
( ( ( ! [SV380: c] :
( ( comp_c_c_c @ ( SV58 @ SV299 ) @ ( SV58 @ SV343 ) @ SV380 )
= ( comp_c_c_c @ ( SV58 @ SV343 ) @ ( SV58 @ SV299 ) @ SV380 ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV58 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1155]) ).
thf(1230,plain,
! [SV343: a,SV299: a,SV58: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV58 @ SV299 ) @ ( SV58 @ SV343 ) )
= ( comp_c_c_c @ ( SV58 @ SV343 ) @ ( SV58 @ SV299 ) ) )
= $true )
| ( ( finite746615251te_a_c @ SV58 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1155]) ).
thf(1231,plain,
! [SV58: a > c > c] :
( ( ( ~ ( finite746615251te_a_c @ SV58 ) )
= $false )
| ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1156]) ).
thf(1232,plain,
! [SV58: a > c > c] :
( ( ( ~ ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) )
= $false )
| ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1156]) ).
thf(1233,plain,
! [SV58: a > c > c] :
( ( ( finite746615251te_a_c @ SV58 )
= $true )
| ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1157]) ).
thf(1234,plain,
! [SV58: a > c > c] :
( ( ( ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1158]) ).
thf(1235,plain,
! [SV381: c,SV300: a,SV62: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV62 @ SV300 ) @ ( SV62 @ SV300 ) @ SV381 )
= ( SV62 @ SV300 @ SV381 ) )
= $true )
| ( ( finite19304177ms_a_c @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1159]) ).
thf(1236,plain,
! [SV62: a > c > c] :
( ( ( finite19304177ms_a_c @ SV62 )
= $true )
| ( ( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( sK29_SV227 @ SV62 ) )
= ( SV62 @ ( sK9_SY355 @ SV62 ) @ ( sK29_SV227 @ SV62 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1161]) ).
thf(1237,plain,
! [SV62: a > c > c] :
( ( ( ! [SY355: a] :
( ( comp_c_c_c @ ( SV62 @ SY355 ) @ ( SV62 @ SY355 ) )
= ( SV62 @ SY355 ) ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( sK29_SV227 @ SV62 ) )
= ( SV62 @ ( sK9_SY355 @ SV62 ) @ ( sK29_SV227 @ SV62 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1162]) ).
thf(1238,plain,
! [SV382: a,SV62: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV62 @ SV382 ) @ ( SV62 @ SV382 ) )
= ( SV62 @ SV382 ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1164]) ).
thf(1239,plain,
! [SV135: a > a,SV63: a > a,SV23: a > a,SV301: a > c > c,SV97: a > a,SV261: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV261 @ SV97 )
= SV301 )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV301 @ SV135 ) )
= $true )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1240,plain,
! [SV135: a > a,SV63: a > a,SV23: a > a,SV262: a > c > c,SV97: a > a,SV228: a > c > c] :
( ( ( ! [SV383: a] :
( ( comp_a_c_c_a @ SV228 @ SV97 @ SV383 )
= ( SV262 @ SV383 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV262 @ SV135 ) )
= $true )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1166]) ).
thf(1241,plain,
! [SV135: a > a,SV63: a > a,SV23: a > a,SV262: a > c > c,SV97: a > a,SV228: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV228 @ SV97 )
= SV262 )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV262 @ SV135 ) )
= $true )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1166]) ).
thf(1242,plain,
! [SV136: a > a,SV64: a > a,SV24: a > c > c,SV384: a > c > c,SV98: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 )
!= SV384 )
| ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV384 @ SV136 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1167]) ).
thf(1243,plain,
! [SV136: a > a,SV64: a > a,SV24: a > c > c,SV346: a > c > c,SV98: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 )
!= SV346 ) )
= $true )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV346 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1168]) ).
thf(1244,plain,
! [SV136: a > a,SV64: a > a,SV24: a > c > c,SV264: a > c > c,SV98: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ! [SV385: a] :
( ( comp_c_c_c_c_a @ SV229 @ SV98 @ SV385 )
= ( SV264 @ SV385 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV264 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1169]) ).
thf(1245,plain,
! [SV136: a > a,SV64: a > a,SV24: a > c > c,SV264: a > c > c,SV98: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 )
= SV264 )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV264 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1169]) ).
thf(1246,plain,
! [SV137: b > a,SV65: b > a,SV25: a > a,SV303: a > c > c,SV99: a > a,SV265: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV265 @ SV99 )
= SV303 )
= $false )
| ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV303 @ SV137 ) )
= $true )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1170]) ).
thf(1247,plain,
! [SV137: b > a,SV65: b > a,SV25: a > a,SV266: a > c > c,SV99: a > a,SV230: a > c > c] :
( ( ( ! [SV386: a] :
( ( comp_a_c_c_a @ SV230 @ SV99 @ SV386 )
= ( SV266 @ SV386 ) ) )
= $false )
| ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV266 @ SV137 ) )
= $true )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1171]) ).
thf(1248,plain,
! [SV137: b > a,SV65: b > a,SV25: a > a,SV266: a > c > c,SV99: a > a,SV230: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV230 @ SV99 )
= SV266 )
= $false )
| ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV266 @ SV137 ) )
= $true )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1171]) ).
thf(1249,plain,
! [SV100: a > c > c,SV66: a > a,SV26: a > c > c,SV387: a > a,SV347: a > a,SV138: a > a] :
( ( ( ( ( comp_a_a_a @ SV138 @ SV347 )
!= SV387 )
| ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV347 ) )
= ( comp_a_c_c_a @ SV100 @ SV387 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1172]) ).
thf(1250,plain,
! [SV100: a > c > c,SV66: a > a,SV26: a > c > c,SV348: a > a,SV304: a > a,SV138: a > a] :
( ( ( ( ( comp_a_a_a @ SV138 @ SV304 )
!= SV348 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV304 ) )
= ( comp_a_c_c_a @ SV100 @ SV348 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1173]) ).
thf(1251,plain,
! [SV100: a > c > c,SV66: a > a,SV26: a > c > c,SV268: a > a,SV231: a > a,SV138: a > a] :
( ( ( ! [SV388: a] :
( ( comp_a_a_a @ SV138 @ SV231 @ SV388 )
= ( SV268 @ SV388 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV231 ) )
= ( comp_a_c_c_a @ SV100 @ SV268 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
= ( comp_a_c_c_a @ SV100 @ SV138 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1174]) ).
thf(1252,plain,
! [SV100: a > c > c,SV66: a > a,SV26: a > c > c,SV268: a > a,SV231: a > a,SV138: a > a] :
( ( ( ( comp_a_a_a @ SV138 @ SV231 )
= SV268 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV231 ) )
= ( comp_a_c_c_a @ SV100 @ SV268 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
= ( comp_a_c_c_a @ SV100 @ SV138 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1174]) ).
thf(1253,plain,
! [SV101: a > a,SV389: c,SV305: a,SV67: a > a,SV27: a > a,SV232: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV232 @ SV27 ) @ SV67 @ SV305 @ SV389 )
= ( comp_a_c_c_a @ SV232 @ SV101 @ SV305 @ SV389 ) )
= $true )
| ( ( ( comp_a_a_a @ SV27 @ SV67 @ ( sK10_SV185 @ SV101 @ SV67 @ SV27 ) )
= ( SV101 @ ( sK10_SV185 @ SV101 @ SV67 @ SV27 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1175]) ).
thf(1254,plain,
! [SV102: a > c > c,SV390: a,SV68: a > a,SV28: a > c > c,SV307: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV307 @ SV28 ) @ SV68 @ SV390 )
= ( comp_c_c_c_c_a @ SV307 @ SV102 @ SV390 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV28 @ SV68 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) @ ( sK30_SV234 @ SV102 @ SV68 @ SV28 ) )
= ( SV102 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) @ ( sK30_SV234 @ SV102 @ SV68 @ SV28 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1178]) ).
thf(1255,plain,
! [SV102: a > c > c,SV352: a,SV68: a > a,SV28: a > c > c,SV271: ( c > c ) > c > c] :
( ( ( ! [SV391: c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV271 @ SV28 ) @ SV68 @ SV352 @ SV391 )
= ( comp_c_c_c_c_a @ SV271 @ SV102 @ SV352 @ SV391 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV28 @ SV68 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) )
= ( SV102 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1180]) ).
thf(1256,plain,
! [SV102: a > c > c,SV352: a,SV68: a > a,SV28: a > c > c,SV271: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV271 @ SV28 ) @ SV68 @ SV352 )
= ( comp_c_c_c_c_a @ SV271 @ SV102 @ SV352 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV28 @ SV68 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) )
= ( SV102 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1180]) ).
thf(1257,plain,
! [SV103: a > c > c,SV392: a,SV310: a > a,SV69: a > a,SV29: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SV310 ) @ SV392 )
= ( comp_a_c_c_a @ SV103 @ SV310 @ SV392 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV29 @ SV69 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) @ ( sK31_SV236 @ SV103 @ SV69 @ SV29 ) )
= ( SV103 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) @ ( sK31_SV236 @ SV103 @ SV69 @ SV29 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1182]) ).
thf(1258,plain,
! [SV103: a > c > c,SV355: a,SV273: a > a,SV69: a > a,SV29: a > c > c] :
( ( ( ! [SV393: c] :
( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SV273 ) @ SV355 @ SV393 )
= ( comp_a_c_c_a @ SV103 @ SV273 @ SV355 @ SV393 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV29 @ SV69 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) )
= ( SV103 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1184]) ).
thf(1259,plain,
! [SV103: a > c > c,SV355: a,SV273: a > a,SV69: a > a,SV29: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SV273 ) @ SV355 )
= ( comp_a_c_c_a @ SV103 @ SV273 @ SV355 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV29 @ SV69 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) )
= ( SV103 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1184]) ).
thf(1260,plain,
! [SV104: a > c > c,SV394: a,SV313: a > a,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SV313 ) @ SV394 )
= ( comp_a_c_c_a @ SV104 @ SV313 @ SV394 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) @ ( sK32_SV238 @ SV104 @ SV70 @ SV30 ) )
= ( SV104 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) @ ( sK32_SV238 @ SV104 @ SV70 @ SV30 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1186]) ).
thf(1261,plain,
! [SV104: a > c > c,SV358: a,SV275: a > a,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ! [SV395: c] :
( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SV275 ) @ SV358 @ SV395 )
= ( comp_a_c_c_a @ SV104 @ SV275 @ SV358 @ SV395 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) )
= ( SV104 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1188]) ).
thf(1262,plain,
! [SV104: a > c > c,SV358: a,SV275: a > a,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SV275 ) @ SV358 )
= ( comp_a_c_c_a @ SV104 @ SV275 @ SV358 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) )
= ( SV104 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1188]) ).
thf(1263,plain,
! [SV105: a > c > c,SV396: b,SV316: b > a,SV71: a > a,SV31: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SV316 ) @ SV396 )
= ( comp_a_c_c_b @ SV105 @ SV316 @ SV396 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV31 @ SV71 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) @ ( sK33_SV240 @ SV105 @ SV71 @ SV31 ) )
= ( SV105 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) @ ( sK33_SV240 @ SV105 @ SV71 @ SV31 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1190]) ).
thf(1264,plain,
! [SV105: a > c > c,SV361: b,SV277: b > a,SV71: a > a,SV31: a > c > c] :
( ( ( ! [SV397: c] :
( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SV277 ) @ SV361 @ SV397 )
= ( comp_a_c_c_b @ SV105 @ SV277 @ SV361 @ SV397 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV31 @ SV71 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) )
= ( SV105 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1192]) ).
thf(1265,plain,
! [SV105: a > c > c,SV361: b,SV277: b > a,SV71: a > a,SV31: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SV277 ) @ SV361 )
= ( comp_a_c_c_b @ SV105 @ SV277 @ SV361 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV31 @ SV71 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) )
= ( SV105 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1192]) ).
thf(1266,plain,
! [SV110: b > c > c,SV398: c,SV323: b,SV76: b > a,SV36: a > c > c] :
( ( ( ( SV36 @ ( SV76 @ SV323 ) @ SV398 )
= ( SV110 @ SV323 @ SV398 ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV36 @ SV76 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) @ ( sK36_SV244 @ SV110 @ SV76 @ SV36 ) )
= ( SV110 @ ( sK15_SV192 @ SV110 @ SV76 @ SV36 ) @ ( sK36_SV244 @ SV110 @ SV76 @ SV36 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1196]) ).
thf(1267,plain,
! [SV111: a > c > c,SV399: c,SV325: a,SV77: a > a,SV37: a > c > c] :
( ( ( ( SV37 @ ( SV77 @ SV325 ) @ SV399 )
= ( SV111 @ SV325 @ SV399 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV37 @ SV77 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) @ ( sK37_SV246 @ SV111 @ SV77 @ SV37 ) )
= ( SV111 @ ( sK16_SV193 @ SV111 @ SV77 @ SV37 ) @ ( sK37_SV246 @ SV111 @ SV77 @ SV37 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1199]) ).
thf(1268,plain,
! [SV143: b > a,SV112: a > c > c,SV369: b,SV78: b > a,SV38: a > c > c] :
( ( ( ! [SV400: c] :
( ( SV38 @ ( SV78 @ SV369 ) @ SV400 )
= ( SV112 @ ( SV143 @ SV369 ) @ SV400 ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV38 @ SV78 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) @ ( sK41_SV285 @ SV112 @ SV143 @ SV78 @ SV38 ) )
= ( comp_a_c_c_b @ SV112 @ SV143 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) @ ( sK41_SV285 @ SV112 @ SV143 @ SV78 @ SV38 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1202]) ).
thf(1269,plain,
! [SV143: b > a,SV112: a > c > c,SV369: b,SV78: b > a,SV38: a > c > c] :
( ( ( ( SV38 @ ( SV78 @ SV369 ) )
= ( SV112 @ ( SV143 @ SV369 ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV38 @ SV78 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) @ ( sK41_SV285 @ SV112 @ SV143 @ SV78 @ SV38 ) )
= ( comp_a_c_c_b @ SV112 @ SV143 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) @ ( sK41_SV285 @ SV112 @ SV143 @ SV78 @ SV38 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1202]) ).
thf(1270,plain,
! [SV143: b > a,SV112: a > c > c,SV401: c,SV327: b,SV78: b > a,SV38: a > c > c] :
( ( ( ( SV38 @ ( SV78 @ SV327 ) @ SV401 )
= ( SV112 @ ( SV143 @ SV327 ) @ SV401 ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV38 @ SV78 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) )
= ( comp_a_c_c_b @ SV112 @ SV143 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1203]) ).
thf(1271,plain,
! [SV144: a > a,SV113: a > c > c,SV371: a,SV79: a > a,SV39: a > c > c] :
( ( ( ! [SV402: c] :
( ( SV39 @ ( SV79 @ SV371 ) @ SV402 )
= ( SV113 @ ( SV144 @ SV371 ) @ SV402 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV39 @ SV79 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) @ ( sK42_SV287 @ SV113 @ SV144 @ SV79 @ SV39 ) )
= ( comp_a_c_c_a @ SV113 @ SV144 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) @ ( sK42_SV287 @ SV113 @ SV144 @ SV79 @ SV39 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1205]) ).
thf(1272,plain,
! [SV144: a > a,SV113: a > c > c,SV371: a,SV79: a > a,SV39: a > c > c] :
( ( ( ( SV39 @ ( SV79 @ SV371 ) )
= ( SV113 @ ( SV144 @ SV371 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV39 @ SV79 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) @ ( sK42_SV287 @ SV113 @ SV144 @ SV79 @ SV39 ) )
= ( comp_a_c_c_a @ SV113 @ SV144 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) @ ( sK42_SV287 @ SV113 @ SV144 @ SV79 @ SV39 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1205]) ).
thf(1273,plain,
! [SV144: a > a,SV113: a > c > c,SV403: c,SV329: a,SV79: a > a,SV39: a > c > c] :
( ( ( ( SV39 @ ( SV79 @ SV329 ) @ SV403 )
= ( SV113 @ ( SV144 @ SV329 ) @ SV403 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV39 @ SV79 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) )
= ( comp_a_c_c_a @ SV113 @ SV144 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1206]) ).
thf(1274,plain,
! [SV145: b > a,SV114: a > c > c,SV373: b,SV80: b > a,SV40: a > c > c] :
( ( ( ! [SV404: c] :
( ( SV40 @ ( SV80 @ SV373 ) @ SV404 )
= ( SV114 @ ( SV145 @ SV373 ) @ SV404 ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV40 @ SV80 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) @ ( sK43_SV289 @ SV114 @ SV145 @ SV80 @ SV40 ) )
= ( comp_a_c_c_b @ SV114 @ SV145 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) @ ( sK43_SV289 @ SV114 @ SV145 @ SV80 @ SV40 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1208]) ).
thf(1275,plain,
! [SV145: b > a,SV114: a > c > c,SV373: b,SV80: b > a,SV40: a > c > c] :
( ( ( ( SV40 @ ( SV80 @ SV373 ) )
= ( SV114 @ ( SV145 @ SV373 ) ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV40 @ SV80 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) @ ( sK43_SV289 @ SV114 @ SV145 @ SV80 @ SV40 ) )
= ( comp_a_c_c_b @ SV114 @ SV145 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) @ ( sK43_SV289 @ SV114 @ SV145 @ SV80 @ SV40 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1208]) ).
thf(1276,plain,
! [SV145: b > a,SV114: a > c > c,SV405: c,SV331: b,SV80: b > a,SV40: a > c > c] :
( ( ( ( SV40 @ ( SV80 @ SV331 ) @ SV405 )
= ( SV114 @ ( SV145 @ SV331 ) @ SV405 ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV40 @ SV80 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) )
= ( comp_a_c_c_b @ SV114 @ SV145 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1209]) ).
thf(1277,plain,
! [SV146: a > a,SV115: a > c > c,SV375: a,SV81: a > a,SV41: a > c > c] :
( ( ( ! [SV406: c] :
( ( SV41 @ ( SV81 @ SV375 ) @ SV406 )
= ( SV115 @ ( SV146 @ SV375 ) @ SV406 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV41 @ SV81 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) @ ( sK44_SV291 @ SV115 @ SV146 @ SV81 @ SV41 ) )
= ( comp_a_c_c_a @ SV115 @ SV146 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) @ ( sK44_SV291 @ SV115 @ SV146 @ SV81 @ SV41 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1211]) ).
thf(1278,plain,
! [SV146: a > a,SV115: a > c > c,SV375: a,SV81: a > a,SV41: a > c > c] :
( ( ( ( SV41 @ ( SV81 @ SV375 ) )
= ( SV115 @ ( SV146 @ SV375 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV41 @ SV81 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) @ ( sK44_SV291 @ SV115 @ SV146 @ SV81 @ SV41 ) )
= ( comp_a_c_c_a @ SV115 @ SV146 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) @ ( sK44_SV291 @ SV115 @ SV146 @ SV81 @ SV41 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1211]) ).
thf(1279,plain,
! [SV146: a > a,SV115: a > c > c,SV407: c,SV333: a,SV81: a > a,SV41: a > c > c] :
( ( ( ( SV41 @ ( SV81 @ SV333 ) @ SV407 )
= ( SV115 @ ( SV146 @ SV333 ) @ SV407 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV41 @ SV81 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) )
= ( comp_a_c_c_a @ SV115 @ SV146 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1212]) ).
thf(1280,plain,
! [SV198: a,SV174: a > a,SV153: a > c > c,SV408: c,SV122: a,SV88: a > a,SV48: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV48 @ SV88 @ SV122 @ SV408 )
= ( comp_a_c_c_a @ SV153 @ SV174 @ SV198 @ SV408 ) )
= $true )
| ( ( ( SV48 @ ( SV88 @ SV122 ) @ ( sK45_SV295 @ SV198 @ SV174 @ SV153 @ SV122 @ SV88 @ SV48 ) )
= ( SV153 @ ( SV174 @ SV198 ) @ ( sK45_SV295 @ SV198 @ SV174 @ SV153 @ SV122 @ SV88 @ SV48 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1214]) ).
thf(1281,plain,
! [SV90: a > c > c,SV50: a > a] :
( ( ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) ) )
= $false )
| ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1217]) ).
thf(1282,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $false )
| ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1217]) ).
thf(1283,plain,
! [SV90: a > c > c,SV50: a > a] :
( ( ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $false )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1218]) ).
thf(1284,plain,
! [SV90: a > c > c,SV50: a > a] :
( ( ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) ) )
= $false )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1219]) ).
thf(1285,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $false )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1219]) ).
thf(1286,plain,
! [SV257: a > c > c,SV50: a > a,SV90: a > c > c] :
( ( ( ! [SV409: c] :
( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ SV409 )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ SV409 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1220]) ).
thf(1287,plain,
! [SV257: a > c > c,SV50: a > a,SV90: a > c > c] :
( ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1220]) ).
thf(1288,plain,
! [SV257: a > c > c,SV90: a > c > c,SV50: a > a] :
( ( ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) ) )
= $false )
| ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1221]) ).
thf(1289,plain,
! [SV257: a > c > c,SV50: a > a,SV90: a > c > c] :
( ( ( ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $false )
| ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1221]) ).
thf(1290,plain,
! [SV91: a > c > c] :
( ( ( finite19304177ms_a_c @ SV91 )
= $true )
| ( ( finite40241358em_a_c @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1222]) ).
thf(1291,plain,
! [SV91: a > c > c] :
( ( ( finite746615251te_a_c @ SV91 )
= $true )
| ( ( finite40241358em_a_c @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1223]) ).
thf(1292,plain,
! [SV91: a > c > c] :
( ( ( ~ ( finite40241358em_a_c @ SV91 ) )
= $false )
| ( ( finite19304177ms_a_c @ SV91 )
= $false )
| ( ( finite746615251te_a_c @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1224]) ).
thf(1293,plain,
! [SV91: a > c > c] :
( ( ( ~ ~ ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) ) )
= $false )
| ( ( finite19304177ms_a_c @ SV91 )
= $false )
| ( ( finite746615251te_a_c @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1224]) ).
thf(1294,plain,
! [SV92: a > c > c,SV297: a,SV52: a > c > c] :
( ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1225]) ).
thf(1295,plain,
! [SV297: a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $false )
| ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1226]) ).
thf(1296,plain,
! [SV52: a > c > c,SV258: a > a,SV92: a > c > c] :
( ( ( ! [SV410: c] :
( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ SV410 )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ SV410 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1227]) ).
thf(1297,plain,
! [SV52: a > c > c,SV258: a > a,SV92: a > c > c] :
( ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1227]) ).
thf(1298,plain,
! [SV258: a > a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) ) )
= $false )
| ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1299,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $false )
| ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1300,plain,
! [SV411: c,SV343: a,SV299: a,SV58: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV58 @ SV299 ) @ ( SV58 @ SV343 ) @ SV411 )
= ( comp_c_c_c @ ( SV58 @ SV343 ) @ ( SV58 @ SV299 ) @ SV411 ) )
= $true )
| ( ( finite746615251te_a_c @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1229]) ).
thf(1301,plain,
! [SV58: a > c > c] :
( ( ( finite746615251te_a_c @ SV58 )
= $true )
| ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1231]) ).
thf(1302,plain,
! [SV58: a > c > c] :
( ( ( ! [SY347: a,SY348: a] :
( ( comp_c_c_c @ ( SV58 @ SY347 ) @ ( SV58 @ SY348 ) )
= ( comp_c_c_c @ ( SV58 @ SY348 ) @ ( SV58 @ SY347 ) ) ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1232]) ).
thf(1303,plain,
! [SV412: a,SV58: a > c > c] :
( ( ( ! [SY531: a] :
( ( comp_c_c_c @ ( SV58 @ SV412 ) @ ( SV58 @ SY531 ) )
= ( comp_c_c_c @ ( SV58 @ SY531 ) @ ( SV58 @ SV412 ) ) ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1234]) ).
thf(1304,plain,
! [SV413: a,SV62: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV62 @ SV413 ) @ ( SV62 @ SV413 ) )
= ( SV62 @ SV413 ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( sK29_SV227 @ SV62 ) )
= ( SV62 @ ( sK9_SY355 @ SV62 ) @ ( sK29_SV227 @ SV62 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1237]) ).
thf(1305,plain,
! [SV382: a,SV62: a > c > c] :
( ( ( ! [SV414: c] :
( ( comp_c_c_c @ ( SV62 @ SV382 ) @ ( SV62 @ SV382 ) @ SV414 )
= ( SV62 @ SV382 @ SV414 ) ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1238]) ).
thf(1306,plain,
! [SV382: a,SV62: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV62 @ SV382 ) @ ( SV62 @ SV382 ) )
= ( SV62 @ SV382 ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1238]) ).
thf(1307,plain,
! [SV135: a > a,SV63: a > a,SV23: a > a,SV301: a > c > c,SV97: a > a,SV261: a > c > c] :
( ( ( ! [SV415: a] :
( ( comp_a_c_c_a @ SV261 @ SV97 @ SV415 )
= ( SV301 @ SV415 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV301 @ SV135 ) )
= $true )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1239]) ).
thf(1308,plain,
! [SV135: a > a,SV63: a > a,SV23: a > a,SV301: a > c > c,SV97: a > a,SV261: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV261 @ SV97 )
= SV301 )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV301 @ SV135 ) )
= $true )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1239]) ).
thf(1309,plain,
! [SV262: a > c > c,SV23: a > a,SV63: a > a,SV135: a > a,SV97: a > a,SV228: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV228 @ SV97 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) )
= ( SV262 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV262 @ SV135 ) )
= $true )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1240]) ).
thf(1310,plain,
! [SV97: a > a,SV135: a > a,SV262: a > c > c,SV63: a > a,SV23: a > a,SV228: a > c > c] :
( ( ( ! [SV416: a] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 @ SV416 )
= ( comp_a_c_c_a @ SV262 @ SV135 @ SV416 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV228 @ SV97 )
= SV262 )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1241]) ).
thf(1311,plain,
! [SV97: a > a,SV135: a > a,SV262: a > c > c,SV63: a > a,SV23: a > a,SV228: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV262 @ SV135 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV228 @ SV97 )
= SV262 )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1241]) ).
thf(1312,plain,
! [SV136: a > a,SV64: a > a,SV24: a > c > c,SV384: a > c > c,SV98: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 )
!= SV384 ) )
= $true )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV384 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1242]) ).
thf(1313,plain,
! [SV136: a > a,SV64: a > a,SV24: a > c > c,SV346: a > c > c,SV98: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 )
= SV346 )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV346 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1243]) ).
thf(1314,plain,
! [SV264: a > c > c,SV24: a > c > c,SV64: a > a,SV136: a > a,SV98: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) )
= ( SV264 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV264 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1244]) ).
thf(1315,plain,
! [SV98: a > c > c,SV136: a > a,SV264: a > c > c,SV64: a > a,SV24: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ! [SV417: a] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 @ SV417 )
= ( comp_a_c_c_a @ SV264 @ SV136 @ SV417 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 )
= SV264 )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1245]) ).
thf(1316,plain,
! [SV98: a > c > c,SV136: a > a,SV264: a > c > c,SV64: a > a,SV24: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV264 @ SV136 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 )
= SV264 )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1245]) ).
thf(1317,plain,
! [SV137: b > a,SV65: b > a,SV25: a > a,SV303: a > c > c,SV99: a > a,SV265: a > c > c] :
( ( ( ! [SV418: a] :
( ( comp_a_c_c_a @ SV265 @ SV99 @ SV418 )
= ( SV303 @ SV418 ) ) )
= $false )
| ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV303 @ SV137 ) )
= $true )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1246]) ).
thf(1318,plain,
! [SV137: b > a,SV65: b > a,SV25: a > a,SV303: a > c > c,SV99: a > a,SV265: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV265 @ SV99 )
= SV303 )
= $false )
| ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV303 @ SV137 ) )
= $true )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1246]) ).
thf(1319,plain,
! [SV266: a > c > c,SV25: a > a,SV65: b > a,SV137: b > a,SV99: a > a,SV230: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV230 @ SV99 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) )
= ( SV266 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) ) )
= $false )
| ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV266 @ SV137 ) )
= $true )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1247]) ).
thf(1320,plain,
! [SV99: a > a,SV137: b > a,SV266: a > c > c,SV65: b > a,SV25: a > a,SV230: a > c > c] :
( ( ( ! [SV419: b] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 @ SV419 )
= ( comp_a_c_c_b @ SV266 @ SV137 @ SV419 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV230 @ SV99 )
= SV266 )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1248]) ).
thf(1321,plain,
! [SV99: a > a,SV137: b > a,SV266: a > c > c,SV65: b > a,SV25: a > a,SV230: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV266 @ SV137 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV230 @ SV99 )
= SV266 )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1248]) ).
thf(1322,plain,
! [SV100: a > c > c,SV66: a > a,SV26: a > c > c,SV387: a > a,SV347: a > a,SV138: a > a] :
( ( ( ( ( comp_a_a_a @ SV138 @ SV347 )
!= SV387 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV347 ) )
= ( comp_a_c_c_a @ SV100 @ SV387 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1249]) ).
thf(1323,plain,
! [SV100: a > c > c,SV66: a > a,SV26: a > c > c,SV348: a > a,SV304: a > a,SV138: a > a] :
( ( ( ( comp_a_a_a @ SV138 @ SV304 )
= SV348 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV304 ) )
= ( comp_a_c_c_a @ SV100 @ SV348 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1250]) ).
thf(1324,plain,
! [SV268: a > a,SV26: a > c > c,SV66: a > a,SV100: a > c > c,SV231: a > a,SV138: a > a] :
( ( ( ( comp_a_a_a @ SV138 @ SV231 @ ( sK53_SV388 @ SV100 @ SV66 @ SV26 @ SV268 @ SV231 @ SV138 ) )
= ( SV268 @ ( sK53_SV388 @ SV100 @ SV66 @ SV26 @ SV268 @ SV231 @ SV138 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV231 ) )
= ( comp_a_c_c_a @ SV100 @ SV268 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
= ( comp_a_c_c_a @ SV100 @ SV138 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1251]) ).
thf(1325,plain,
! [SV138: a > a,SV268: a > a,SV100: a > c > c,SV231: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ! [SV420: a] :
( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV231 ) @ SV420 )
= ( comp_a_c_c_a @ SV100 @ SV268 @ SV420 ) ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV231 )
= SV268 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
= ( comp_a_c_c_a @ SV100 @ SV138 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1252]) ).
thf(1326,plain,
! [SV138: a > a,SV268: a > a,SV100: a > c > c,SV231: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV231 ) )
= ( comp_a_c_c_a @ SV100 @ SV268 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV231 )
= SV268 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
= ( comp_a_c_c_a @ SV100 @ SV138 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1252]) ).
thf(1327,plain,
! [SV102: a > c > c,SV390: a,SV68: a > a,SV28: a > c > c,SV307: ( c > c ) > c > c] :
( ( ( ! [SV421: c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV307 @ SV28 ) @ SV68 @ SV390 @ SV421 )
= ( comp_c_c_c_c_a @ SV307 @ SV102 @ SV390 @ SV421 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV28 @ SV68 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) @ ( sK30_SV234 @ SV102 @ SV68 @ SV28 ) )
= ( SV102 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) @ ( sK30_SV234 @ SV102 @ SV68 @ SV28 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1254]) ).
thf(1328,plain,
! [SV102: a > c > c,SV390: a,SV68: a > a,SV28: a > c > c,SV307: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV307 @ SV28 ) @ SV68 @ SV390 )
= ( comp_c_c_c_c_a @ SV307 @ SV102 @ SV390 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV28 @ SV68 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) @ ( sK30_SV234 @ SV102 @ SV68 @ SV28 ) )
= ( SV102 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) @ ( sK30_SV234 @ SV102 @ SV68 @ SV28 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1254]) ).
thf(1329,plain,
! [SV102: a > c > c,SV422: c,SV352: a,SV68: a > a,SV28: a > c > c,SV271: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV271 @ SV28 ) @ SV68 @ SV352 @ SV422 )
= ( comp_c_c_c_c_a @ SV271 @ SV102 @ SV352 @ SV422 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV28 @ SV68 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) )
= ( SV102 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1255]) ).
thf(1330,plain,
! [SV103: a > c > c,SV392: a,SV310: a > a,SV69: a > a,SV29: a > c > c] :
( ( ( ! [SV423: c] :
( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SV310 ) @ SV392 @ SV423 )
= ( comp_a_c_c_a @ SV103 @ SV310 @ SV392 @ SV423 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV29 @ SV69 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) @ ( sK31_SV236 @ SV103 @ SV69 @ SV29 ) )
= ( SV103 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) @ ( sK31_SV236 @ SV103 @ SV69 @ SV29 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1257]) ).
thf(1331,plain,
! [SV103: a > c > c,SV392: a,SV310: a > a,SV69: a > a,SV29: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SV310 ) @ SV392 )
= ( comp_a_c_c_a @ SV103 @ SV310 @ SV392 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV29 @ SV69 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) @ ( sK31_SV236 @ SV103 @ SV69 @ SV29 ) )
= ( SV103 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) @ ( sK31_SV236 @ SV103 @ SV69 @ SV29 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1257]) ).
thf(1332,plain,
! [SV103: a > c > c,SV424: c,SV355: a,SV273: a > a,SV69: a > a,SV29: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SV273 ) @ SV355 @ SV424 )
= ( comp_a_c_c_a @ SV103 @ SV273 @ SV355 @ SV424 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV29 @ SV69 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) )
= ( SV103 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1258]) ).
thf(1333,plain,
! [SV104: a > c > c,SV394: a,SV313: a > a,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ! [SV425: c] :
( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SV313 ) @ SV394 @ SV425 )
= ( comp_a_c_c_a @ SV104 @ SV313 @ SV394 @ SV425 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) @ ( sK32_SV238 @ SV104 @ SV70 @ SV30 ) )
= ( SV104 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) @ ( sK32_SV238 @ SV104 @ SV70 @ SV30 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1260]) ).
thf(1334,plain,
! [SV104: a > c > c,SV394: a,SV313: a > a,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SV313 ) @ SV394 )
= ( comp_a_c_c_a @ SV104 @ SV313 @ SV394 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) @ ( sK32_SV238 @ SV104 @ SV70 @ SV30 ) )
= ( SV104 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) @ ( sK32_SV238 @ SV104 @ SV70 @ SV30 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1260]) ).
thf(1335,plain,
! [SV104: a > c > c,SV426: c,SV358: a,SV275: a > a,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SV275 ) @ SV358 @ SV426 )
= ( comp_a_c_c_a @ SV104 @ SV275 @ SV358 @ SV426 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) )
= ( SV104 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1261]) ).
thf(1336,plain,
! [SV105: a > c > c,SV396: b,SV316: b > a,SV71: a > a,SV31: a > c > c] :
( ( ( ! [SV427: c] :
( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SV316 ) @ SV396 @ SV427 )
= ( comp_a_c_c_b @ SV105 @ SV316 @ SV396 @ SV427 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV31 @ SV71 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) @ ( sK33_SV240 @ SV105 @ SV71 @ SV31 ) )
= ( SV105 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) @ ( sK33_SV240 @ SV105 @ SV71 @ SV31 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1263]) ).
thf(1337,plain,
! [SV105: a > c > c,SV396: b,SV316: b > a,SV71: a > a,SV31: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SV316 ) @ SV396 )
= ( comp_a_c_c_b @ SV105 @ SV316 @ SV396 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV31 @ SV71 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) @ ( sK33_SV240 @ SV105 @ SV71 @ SV31 ) )
= ( SV105 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) @ ( sK33_SV240 @ SV105 @ SV71 @ SV31 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1263]) ).
thf(1338,plain,
! [SV105: a > c > c,SV428: c,SV361: b,SV277: b > a,SV71: a > a,SV31: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SV277 ) @ SV361 @ SV428 )
= ( comp_a_c_c_b @ SV105 @ SV277 @ SV361 @ SV428 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV31 @ SV71 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) )
= ( SV105 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1264]) ).
thf(1339,plain,
! [SV143: b > a,SV112: a > c > c,SV429: c,SV369: b,SV78: b > a,SV38: a > c > c] :
( ( ( ( SV38 @ ( SV78 @ SV369 ) @ SV429 )
= ( SV112 @ ( SV143 @ SV369 ) @ SV429 ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV38 @ SV78 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) @ ( sK41_SV285 @ SV112 @ SV143 @ SV78 @ SV38 ) )
= ( comp_a_c_c_b @ SV112 @ SV143 @ ( sK24_SV216 @ SV143 @ SV112 @ SV78 @ SV38 ) @ ( sK41_SV285 @ SV112 @ SV143 @ SV78 @ SV38 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1268]) ).
thf(1340,plain,
! [SV144: a > a,SV113: a > c > c,SV430: c,SV371: a,SV79: a > a,SV39: a > c > c] :
( ( ( ( SV39 @ ( SV79 @ SV371 ) @ SV430 )
= ( SV113 @ ( SV144 @ SV371 ) @ SV430 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV39 @ SV79 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) @ ( sK42_SV287 @ SV113 @ SV144 @ SV79 @ SV39 ) )
= ( comp_a_c_c_a @ SV113 @ SV144 @ ( sK25_SV217 @ SV144 @ SV113 @ SV79 @ SV39 ) @ ( sK42_SV287 @ SV113 @ SV144 @ SV79 @ SV39 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1271]) ).
thf(1341,plain,
! [SV145: b > a,SV114: a > c > c,SV431: c,SV373: b,SV80: b > a,SV40: a > c > c] :
( ( ( ( SV40 @ ( SV80 @ SV373 ) @ SV431 )
= ( SV114 @ ( SV145 @ SV373 ) @ SV431 ) )
= $true )
| ( ( ( comp_a_c_c_b @ SV40 @ SV80 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) @ ( sK43_SV289 @ SV114 @ SV145 @ SV80 @ SV40 ) )
= ( comp_a_c_c_b @ SV114 @ SV145 @ ( sK26_SV218 @ SV145 @ SV114 @ SV80 @ SV40 ) @ ( sK43_SV289 @ SV114 @ SV145 @ SV80 @ SV40 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1274]) ).
thf(1342,plain,
! [SV146: a > a,SV115: a > c > c,SV432: c,SV375: a,SV81: a > a,SV41: a > c > c] :
( ( ( ( SV41 @ ( SV81 @ SV375 ) @ SV432 )
= ( SV115 @ ( SV146 @ SV375 ) @ SV432 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV41 @ SV81 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) @ ( sK44_SV291 @ SV115 @ SV146 @ SV81 @ SV41 ) )
= ( comp_a_c_c_a @ SV115 @ SV146 @ ( sK27_SV219 @ SV146 @ SV115 @ SV81 @ SV41 ) @ ( sK44_SV291 @ SV115 @ SV146 @ SV81 @ SV41 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1277]) ).
thf(1343,plain,
! [SV90: a > c > c,SV50: a > a] :
( ( ( ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) ) )
= $true )
| ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1281]) ).
thf(1344,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $true )
| ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1282]) ).
thf(1345,plain,
! [SV90: a > c > c,SV50: a > a] :
( ( ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) ) )
= $false )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1283]) ).
thf(1346,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $false )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1283]) ).
thf(1347,plain,
! [SV90: a > c > c,SV50: a > a] :
( ( ( ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1284]) ).
thf(1348,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1285]) ).
thf(1349,plain,
! [SV257: a > c > c,SV50: a > a,SV90: a > c > c] :
( ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1286]) ).
thf(1350,plain,
! [SV257: a > c > c,SV90: a > c > c,SV50: a > a] :
( ( ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $false )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1287]) ).
thf(1351,plain,
! [SV257: a > c > c,SV90: a > c > c,SV50: a > a] :
( ( ( ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) ) )
= $true )
| ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1288]) ).
thf(1352,plain,
! [SV257: a > c > c,SV50: a > a,SV90: a > c > c] :
( ( ( ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $true )
| ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1289]) ).
thf(1353,plain,
! [SV91: a > c > c] :
( ( ( finite40241358em_a_c @ SV91 )
= $true )
| ( ( finite19304177ms_a_c @ SV91 )
= $false )
| ( ( finite746615251te_a_c @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1292]) ).
thf(1354,plain,
! [SV91: a > c > c] :
( ( ( ~ ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) ) )
= $true )
| ( ( finite19304177ms_a_c @ SV91 )
= $false )
| ( ( finite746615251te_a_c @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1293]) ).
thf(1355,plain,
! [SV297: a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $false )
| ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1294]) ).
thf(1356,plain,
! [SV297: a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) ) )
= $false )
| ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1295]) ).
thf(1357,plain,
! [SV297: a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $false )
| ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1295]) ).
thf(1358,plain,
! [SV52: a > c > c,SV258: a > a,SV92: a > c > c] :
( ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1296]) ).
thf(1359,plain,
! [SV258: a > a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $false )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1297]) ).
thf(1360,plain,
! [SV258: a > a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) ) )
= $true )
| ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1298]) ).
thf(1361,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $true )
| ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1299]) ).
thf(1362,plain,
! [SV433: a,SV58: a > c > c] :
( ( ( ! [SY532: a] :
( ( comp_c_c_c @ ( SV58 @ SV433 ) @ ( SV58 @ SY532 ) )
= ( comp_c_c_c @ ( SV58 @ SY532 ) @ ( SV58 @ SV433 ) ) ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1302]) ).
thf(1363,plain,
! [SV434: a,SV412: a,SV58: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV58 @ SV412 ) @ ( SV58 @ SV434 ) )
= ( comp_c_c_c @ ( SV58 @ SV434 ) @ ( SV58 @ SV412 ) ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1303]) ).
thf(1364,plain,
! [SV413: a,SV62: a > c > c] :
( ( ( ! [SV435: c] :
( ( comp_c_c_c @ ( SV62 @ SV413 ) @ ( SV62 @ SV413 ) @ SV435 )
= ( SV62 @ SV413 @ SV435 ) ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( sK29_SV227 @ SV62 ) )
= ( SV62 @ ( sK9_SY355 @ SV62 ) @ ( sK29_SV227 @ SV62 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1304]) ).
thf(1365,plain,
! [SV413: a,SV62: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV62 @ SV413 ) @ ( SV62 @ SV413 ) )
= ( SV62 @ SV413 ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( sK29_SV227 @ SV62 ) )
= ( SV62 @ ( sK9_SY355 @ SV62 ) @ ( sK29_SV227 @ SV62 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1304]) ).
thf(1366,plain,
! [SV436: c,SV382: a,SV62: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV62 @ SV382 ) @ ( SV62 @ SV382 ) @ SV436 )
= ( SV62 @ SV382 @ SV436 ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= ( SV62 @ ( sK9_SY355 @ SV62 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1305]) ).
thf(1367,plain,
! [SV301: a > c > c,SV23: a > a,SV63: a > a,SV135: a > a,SV97: a > a,SV261: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV261 @ SV97 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) )
= ( SV301 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV301 @ SV135 ) )
= $true )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1307]) ).
thf(1368,plain,
! [SV97: a > a,SV135: a > a,SV301: a > c > c,SV63: a > a,SV23: a > a,SV261: a > c > c] :
( ( ( ! [SV437: a] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 @ SV437 )
= ( comp_a_c_c_a @ SV301 @ SV135 @ SV437 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV261 @ SV97 )
= SV301 )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1308]) ).
thf(1369,plain,
! [SV97: a > a,SV135: a > a,SV301: a > c > c,SV63: a > a,SV23: a > a,SV261: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV301 @ SV135 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV261 @ SV97 )
= SV301 )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1308]) ).
thf(1370,plain,
! [SV262: a > c > c,SV23: a > a,SV63: a > a,SV135: a > a,SV97: a > a,SV228: a > c > c] :
( ( ( ! [SV438: c] :
( ( comp_a_c_c_a @ SV228 @ SV97 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) @ SV438 )
= ( SV262 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) @ SV438 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV262 @ SV135 ) )
= $true )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1309]) ).
thf(1371,plain,
! [SV262: a > c > c,SV23: a > a,SV63: a > a,SV135: a > a,SV97: a > a,SV228: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV228 @ SV97 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) )
= ( SV262 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV262 @ SV135 ) )
= $true )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1309]) ).
thf(1372,plain,
! [SV97: a > a,SV135: a > a,SV262: a > c > c,SV439: a,SV63: a > a,SV23: a > a,SV228: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 @ SV439 )
= ( comp_a_c_c_a @ SV262 @ SV135 @ SV439 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV228 @ SV97 )
= SV262 )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1310]) ).
thf(1373,plain,
! [SV136: a > a,SV64: a > a,SV24: a > c > c,SV384: a > c > c,SV98: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 )
= SV384 )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV384 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1312]) ).
thf(1374,plain,
! [SV136: a > a,SV64: a > a,SV24: a > c > c,SV346: a > c > c,SV98: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ! [SV440: a] :
( ( comp_c_c_c_c_a @ SV302 @ SV98 @ SV440 )
= ( SV346 @ SV440 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV346 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1313]) ).
thf(1375,plain,
! [SV136: a > a,SV64: a > a,SV24: a > c > c,SV346: a > c > c,SV98: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 )
= SV346 )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV346 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1313]) ).
thf(1376,plain,
! [SV264: a > c > c,SV24: a > c > c,SV64: a > a,SV136: a > a,SV98: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ! [SV441: c] :
( ( comp_c_c_c_c_a @ SV229 @ SV98 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) @ SV441 )
= ( SV264 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) @ SV441 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV264 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1314]) ).
thf(1377,plain,
! [SV264: a > c > c,SV24: a > c > c,SV64: a > a,SV136: a > a,SV98: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) )
= ( SV264 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV264 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1314]) ).
thf(1378,plain,
! [SV98: a > c > c,SV136: a > a,SV264: a > c > c,SV442: a,SV64: a > a,SV24: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 @ SV442 )
= ( comp_a_c_c_a @ SV264 @ SV136 @ SV442 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 )
= SV264 )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1315]) ).
thf(1379,plain,
! [SV303: a > c > c,SV25: a > a,SV65: b > a,SV137: b > a,SV99: a > a,SV265: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV265 @ SV99 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) )
= ( SV303 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) ) )
= $false )
| ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV303 @ SV137 ) )
= $true )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1317]) ).
thf(1380,plain,
! [SV99: a > a,SV137: b > a,SV303: a > c > c,SV65: b > a,SV25: a > a,SV265: a > c > c] :
( ( ( ! [SV443: b] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 @ SV443 )
= ( comp_a_c_c_b @ SV303 @ SV137 @ SV443 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV265 @ SV99 )
= SV303 )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1318]) ).
thf(1381,plain,
! [SV99: a > a,SV137: b > a,SV303: a > c > c,SV65: b > a,SV25: a > a,SV265: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV303 @ SV137 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV265 @ SV99 )
= SV303 )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1318]) ).
thf(1382,plain,
! [SV266: a > c > c,SV25: a > a,SV65: b > a,SV137: b > a,SV99: a > a,SV230: a > c > c] :
( ( ( ! [SV444: c] :
( ( comp_a_c_c_a @ SV230 @ SV99 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) @ SV444 )
= ( SV266 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) @ SV444 ) ) )
= $false )
| ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV266 @ SV137 ) )
= $true )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1319]) ).
thf(1383,plain,
! [SV266: a > c > c,SV25: a > a,SV65: b > a,SV137: b > a,SV99: a > a,SV230: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV230 @ SV99 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) )
= ( SV266 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) ) )
= $false )
| ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV266 @ SV137 ) )
= $true )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1319]) ).
thf(1384,plain,
! [SV99: a > a,SV137: b > a,SV266: a > c > c,SV445: b,SV65: b > a,SV25: a > a,SV230: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 @ SV445 )
= ( comp_a_c_c_b @ SV266 @ SV137 @ SV445 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV230 @ SV99 )
= SV266 )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1320]) ).
thf(1385,plain,
! [SV100: a > c > c,SV66: a > a,SV26: a > c > c,SV387: a > a,SV347: a > a,SV138: a > a] :
( ( ( ( comp_a_a_a @ SV138 @ SV347 )
= SV387 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV347 ) )
= ( comp_a_c_c_a @ SV100 @ SV387 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1322]) ).
thf(1386,plain,
! [SV100: a > c > c,SV66: a > a,SV26: a > c > c,SV348: a > a,SV304: a > a,SV138: a > a] :
( ( ( ! [SV446: a] :
( ( comp_a_a_a @ SV138 @ SV304 @ SV446 )
= ( SV348 @ SV446 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV304 ) )
= ( comp_a_c_c_a @ SV100 @ SV348 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1323]) ).
thf(1387,plain,
! [SV100: a > c > c,SV66: a > a,SV26: a > c > c,SV348: a > a,SV304: a > a,SV138: a > a] :
( ( ( ( comp_a_a_a @ SV138 @ SV304 )
= SV348 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV304 ) )
= ( comp_a_c_c_a @ SV100 @ SV348 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1323]) ).
thf(1388,plain,
! [SV138: a > a,SV268: a > a,SV100: a > c > c,SV231: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ! [SV447: a] :
( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV231 ) @ SV447 )
= ( comp_a_c_c_a @ SV100 @ SV268 @ SV447 ) ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV231 @ ( sK53_SV388 @ SV100 @ SV66 @ SV26 @ SV268 @ SV231 @ SV138 ) )
= ( SV268 @ ( sK53_SV388 @ SV100 @ SV66 @ SV26 @ SV268 @ SV231 @ SV138 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
= ( comp_a_c_c_a @ SV100 @ SV138 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1324]) ).
thf(1389,plain,
! [SV138: a > a,SV268: a > a,SV100: a > c > c,SV231: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV231 ) )
= ( comp_a_c_c_a @ SV100 @ SV268 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV231 @ ( sK53_SV388 @ SV100 @ SV66 @ SV26 @ SV268 @ SV231 @ SV138 ) )
= ( SV268 @ ( sK53_SV388 @ SV100 @ SV66 @ SV26 @ SV268 @ SV231 @ SV138 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
= ( comp_a_c_c_a @ SV100 @ SV138 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1324]) ).
thf(1390,plain,
! [SV138: a > a,SV268: a > a,SV100: a > c > c,SV448: a,SV231: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV231 ) @ SV448 )
= ( comp_a_c_c_a @ SV100 @ SV268 @ SV448 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV231 )
= SV268 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
= ( comp_a_c_c_a @ SV100 @ SV138 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1325]) ).
thf(1391,plain,
! [SV102: a > c > c,SV449: c,SV390: a,SV68: a > a,SV28: a > c > c,SV307: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV307 @ SV28 ) @ SV68 @ SV390 @ SV449 )
= ( comp_c_c_c_c_a @ SV307 @ SV102 @ SV390 @ SV449 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV28 @ SV68 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) @ ( sK30_SV234 @ SV102 @ SV68 @ SV28 ) )
= ( SV102 @ ( sK11_SV186 @ SV102 @ SV68 @ SV28 ) @ ( sK30_SV234 @ SV102 @ SV68 @ SV28 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1327]) ).
thf(1392,plain,
! [SV103: a > c > c,SV450: c,SV392: a,SV310: a > a,SV69: a > a,SV29: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV29 @ ( comp_a_a_a @ SV69 @ SV310 ) @ SV392 @ SV450 )
= ( comp_a_c_c_a @ SV103 @ SV310 @ SV392 @ SV450 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV29 @ SV69 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) @ ( sK31_SV236 @ SV103 @ SV69 @ SV29 ) )
= ( SV103 @ ( sK12_SV187 @ SV103 @ SV69 @ SV29 ) @ ( sK31_SV236 @ SV103 @ SV69 @ SV29 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1330]) ).
thf(1393,plain,
! [SV104: a > c > c,SV451: c,SV394: a,SV313: a > a,SV70: a > c > c,SV30: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV30 @ ( comp_a_c_c_a @ SV70 @ SV313 ) @ SV394 @ SV451 )
= ( comp_a_c_c_a @ SV104 @ SV313 @ SV394 @ SV451 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV30 @ SV70 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) @ ( sK32_SV238 @ SV104 @ SV70 @ SV30 ) )
= ( SV104 @ ( sK13_SV188 @ SV104 @ SV70 @ SV30 ) @ ( sK32_SV238 @ SV104 @ SV70 @ SV30 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1333]) ).
thf(1394,plain,
! [SV105: a > c > c,SV452: c,SV396: b,SV316: b > a,SV71: a > a,SV31: a > c > c] :
( ( ( ( comp_a_c_c_b @ SV31 @ ( comp_a_a_b @ SV71 @ SV316 ) @ SV396 @ SV452 )
= ( comp_a_c_c_b @ SV105 @ SV316 @ SV396 @ SV452 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV31 @ SV71 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) @ ( sK33_SV240 @ SV105 @ SV71 @ SV31 ) )
= ( SV105 @ ( sK14_SV189 @ SV105 @ SV71 @ SV31 ) @ ( sK33_SV240 @ SV105 @ SV71 @ SV31 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1336]) ).
thf(1395,plain,
! [SV90: a > c > c,SV453: a,SV50: a > a] :
( ( ( ! [SY533: a] :
( ( ( SV50 @ SV453 )
!= ( SV50 @ SY533 ) )
| ( ( SV90 @ SV453 )
= ( SV90 @ SY533 ) ) ) )
= $true )
| ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1343]) ).
thf(1396,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $false )
| ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1344]) ).
thf(1397,plain,
! [SV90: a > c > c,SV50: a > a] :
( ( ( ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1345]) ).
thf(1398,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1346]) ).
thf(1399,plain,
! [SV90: a > c > c,SV454: a,SV50: a > a] :
( ( ( ! [SY534: a] :
( ( ( SV50 @ SV454 )
!= ( SV50 @ SY534 ) )
| ( ( SV90 @ SV454 )
= ( SV90 @ SY534 ) ) ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1347]) ).
thf(1400,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $false )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1348]) ).
thf(1401,plain,
! [SV257: a > c > c,SV90: a > c > c,SV50: a > a] :
( ( ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) )
| ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $false )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1349]) ).
thf(1402,plain,
! [SV257: a > c > c,SV90: a > c > c,SV50: a > a] :
( ( ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) ) )
= $false )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1350]) ).
thf(1403,plain,
! [SV257: a > c > c,SV50: a > a,SV90: a > c > c] :
( ( ( ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $false )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1350]) ).
thf(1404,plain,
! [SV257: a > c > c,SV90: a > c > c,SV455: a,SV50: a > a] :
( ( ( ! [SY535: a] :
( ( ( SV50 @ SV455 )
!= ( SV50 @ SY535 ) )
| ( ( SV90 @ SV455 )
= ( SV90 @ SY535 ) ) ) )
= $true )
| ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1351]) ).
thf(1405,plain,
! [SV257: a > c > c,SV50: a > a,SV90: a > c > c] :
( ( ( ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $false )
| ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1352]) ).
thf(1406,plain,
! [SV91: a > c > c] :
( ( ( ~ ( finite19304177ms_a_c @ SV91 )
| ~ ( finite746615251te_a_c @ SV91 ) )
= $false )
| ( ( finite19304177ms_a_c @ SV91 )
= $false )
| ( ( finite746615251te_a_c @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1354]) ).
thf(1407,plain,
! [SV297: a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) ) )
= $false )
| ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1355]) ).
thf(1408,plain,
! [SV297: a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $false )
| ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1355]) ).
thf(1409,plain,
! [SV297: a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) ) )
= $true )
| ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1356]) ).
thf(1410,plain,
! [SV297: a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $true )
| ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1357]) ).
thf(1411,plain,
! [SV258: a > a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) )
| ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $false )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1358]) ).
thf(1412,plain,
! [SV258: a > a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) ) )
= $false )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1359]) ).
thf(1413,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $false )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1359]) ).
thf(1414,plain,
! [SV258: a > a,SV456: a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ~ ! [SY536: a] :
( ( SV52 @ SY536 )
!= ( SV92 @ SV456 ) ) )
= $true )
| ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1360]) ).
thf(1415,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $false )
| ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1361]) ).
thf(1416,plain,
! [SV457: a,SV433: a,SV58: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV58 @ SV433 ) @ ( SV58 @ SV457 ) )
= ( comp_c_c_c @ ( SV58 @ SV457 ) @ ( SV58 @ SV433 ) ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1362]) ).
thf(1417,plain,
! [SV434: a,SV412: a,SV58: a > c > c] :
( ( ( ! [SV458: c] :
( ( comp_c_c_c @ ( SV58 @ SV412 ) @ ( SV58 @ SV434 ) @ SV458 )
= ( comp_c_c_c @ ( SV58 @ SV434 ) @ ( SV58 @ SV412 ) @ SV458 ) ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1363]) ).
thf(1418,plain,
! [SV434: a,SV412: a,SV58: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV58 @ SV412 ) @ ( SV58 @ SV434 ) )
= ( comp_c_c_c @ ( SV58 @ SV434 ) @ ( SV58 @ SV412 ) ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1363]) ).
thf(1419,plain,
! [SV459: c,SV413: a,SV62: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV62 @ SV413 ) @ ( SV62 @ SV413 ) @ SV459 )
= ( SV62 @ SV413 @ SV459 ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( SV62 @ ( sK9_SY355 @ SV62 ) ) @ ( sK29_SV227 @ SV62 ) )
= ( SV62 @ ( sK9_SY355 @ SV62 ) @ ( sK29_SV227 @ SV62 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1364]) ).
thf(1420,plain,
! [SV301: a > c > c,SV23: a > a,SV63: a > a,SV135: a > a,SV97: a > a,SV261: a > c > c] :
( ( ( ! [SV460: c] :
( ( comp_a_c_c_a @ SV261 @ SV97 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) @ SV460 )
= ( SV301 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) @ SV460 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV301 @ SV135 ) )
= $true )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1367]) ).
thf(1421,plain,
! [SV301: a > c > c,SV23: a > a,SV63: a > a,SV135: a > a,SV97: a > a,SV261: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV261 @ SV97 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) )
= ( SV301 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV301 @ SV135 ) )
= $true )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1367]) ).
thf(1422,plain,
! [SV97: a > a,SV135: a > a,SV301: a > c > c,SV461: a,SV63: a > a,SV23: a > a,SV261: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 @ SV461 )
= ( comp_a_c_c_a @ SV301 @ SV135 @ SV461 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV261 @ SV97 )
= SV301 )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1368]) ).
thf(1423,plain,
! [SV262: a > c > c,SV23: a > a,SV63: a > a,SV135: a > a,SV97: a > a,SV228: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV228 @ SV97 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) @ ( sK58_SV438 @ SV262 @ SV23 @ SV63 @ SV135 @ SV97 @ SV228 ) )
= ( SV262 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) @ ( sK58_SV438 @ SV262 @ SV23 @ SV63 @ SV135 @ SV97 @ SV228 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV262 @ SV135 ) )
= $true )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1370]) ).
thf(1424,plain,
! [SV97: a > a,SV135: a > a,SV262: a > c > c,SV63: a > a,SV23: a > a,SV228: a > c > c] :
( ( ( ! [SV462: a] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 @ SV462 )
= ( comp_a_c_c_a @ SV262 @ SV135 @ SV462 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV228 @ SV97 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) )
= ( SV262 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1371]) ).
thf(1425,plain,
! [SV97: a > a,SV135: a > a,SV262: a > c > c,SV63: a > a,SV23: a > a,SV228: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV262 @ SV135 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV228 @ SV97 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) )
= ( SV262 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1371]) ).
thf(1426,plain,
! [SV97: a > a,SV135: a > a,SV262: a > c > c,SV439: a,SV63: a > a,SV23: a > a,SV228: a > c > c] :
( ( ( ! [SV463: c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 @ SV439 @ SV463 )
= ( comp_a_c_c_a @ SV262 @ SV135 @ SV439 @ SV463 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV228 @ SV97 )
= SV262 )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1372]) ).
thf(1427,plain,
! [SV97: a > a,SV135: a > a,SV262: a > c > c,SV439: a,SV63: a > a,SV23: a > a,SV228: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 @ SV439 )
= ( comp_a_c_c_a @ SV262 @ SV135 @ SV439 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV228 @ SV97 )
= SV262 )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1372]) ).
thf(1428,plain,
! [SV136: a > a,SV64: a > a,SV24: a > c > c,SV384: a > c > c,SV98: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ! [SV464: a] :
( ( comp_c_c_c_c_a @ SV345 @ SV98 @ SV464 )
= ( SV384 @ SV464 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV384 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1373]) ).
thf(1429,plain,
! [SV136: a > a,SV64: a > a,SV24: a > c > c,SV384: a > c > c,SV98: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 )
= SV384 )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV384 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1373]) ).
thf(1430,plain,
! [SV346: a > c > c,SV24: a > c > c,SV64: a > a,SV136: a > a,SV98: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) )
= ( SV346 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV346 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1374]) ).
thf(1431,plain,
! [SV98: a > c > c,SV136: a > a,SV346: a > c > c,SV64: a > a,SV24: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ! [SV465: a] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 @ SV465 )
= ( comp_a_c_c_a @ SV346 @ SV136 @ SV465 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 )
= SV346 )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1375]) ).
thf(1432,plain,
! [SV98: a > c > c,SV136: a > a,SV346: a > c > c,SV64: a > a,SV24: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV346 @ SV136 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 )
= SV346 )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1375]) ).
thf(1433,plain,
! [SV264: a > c > c,SV24: a > c > c,SV64: a > a,SV136: a > a,SV98: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) @ ( sK60_SV441 @ SV264 @ SV24 @ SV64 @ SV136 @ SV98 @ SV229 ) )
= ( SV264 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) @ ( sK60_SV441 @ SV264 @ SV24 @ SV64 @ SV136 @ SV98 @ SV229 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV264 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1376]) ).
thf(1434,plain,
! [SV98: a > c > c,SV136: a > a,SV264: a > c > c,SV64: a > a,SV24: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ! [SV466: a] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 @ SV466 )
= ( comp_a_c_c_a @ SV264 @ SV136 @ SV466 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) )
= ( SV264 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1377]) ).
thf(1435,plain,
! [SV98: a > c > c,SV136: a > a,SV264: a > c > c,SV64: a > a,SV24: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV264 @ SV136 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) )
= ( SV264 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1377]) ).
thf(1436,plain,
! [SV98: a > c > c,SV136: a > a,SV264: a > c > c,SV442: a,SV64: a > a,SV24: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ! [SV467: c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 @ SV442 @ SV467 )
= ( comp_a_c_c_a @ SV264 @ SV136 @ SV442 @ SV467 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 )
= SV264 )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1378]) ).
thf(1437,plain,
! [SV98: a > c > c,SV136: a > a,SV264: a > c > c,SV442: a,SV64: a > a,SV24: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 @ SV442 )
= ( comp_a_c_c_a @ SV264 @ SV136 @ SV442 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 )
= SV264 )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1378]) ).
thf(1438,plain,
! [SV303: a > c > c,SV25: a > a,SV65: b > a,SV137: b > a,SV99: a > a,SV265: a > c > c] :
( ( ( ! [SV468: c] :
( ( comp_a_c_c_a @ SV265 @ SV99 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) @ SV468 )
= ( SV303 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) @ SV468 ) ) )
= $false )
| ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV303 @ SV137 ) )
= $true )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1379]) ).
thf(1439,plain,
! [SV303: a > c > c,SV25: a > a,SV65: b > a,SV137: b > a,SV99: a > a,SV265: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV265 @ SV99 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) )
= ( SV303 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) ) )
= $false )
| ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV303 @ SV137 ) )
= $true )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1379]) ).
thf(1440,plain,
! [SV99: a > a,SV137: b > a,SV303: a > c > c,SV469: b,SV65: b > a,SV25: a > a,SV265: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 @ SV469 )
= ( comp_a_c_c_b @ SV303 @ SV137 @ SV469 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV265 @ SV99 )
= SV303 )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1380]) ).
thf(1441,plain,
! [SV266: a > c > c,SV25: a > a,SV65: b > a,SV137: b > a,SV99: a > a,SV230: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV230 @ SV99 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) @ ( sK61_SV444 @ SV266 @ SV25 @ SV65 @ SV137 @ SV99 @ SV230 ) )
= ( SV266 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) @ ( sK61_SV444 @ SV266 @ SV25 @ SV65 @ SV137 @ SV99 @ SV230 ) ) )
= $false )
| ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV266 @ SV137 ) )
= $true )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1382]) ).
thf(1442,plain,
! [SV99: a > a,SV137: b > a,SV266: a > c > c,SV65: b > a,SV25: a > a,SV230: a > c > c] :
( ( ( ! [SV470: b] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 @ SV470 )
= ( comp_a_c_c_b @ SV266 @ SV137 @ SV470 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV230 @ SV99 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) )
= ( SV266 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1383]) ).
thf(1443,plain,
! [SV99: a > a,SV137: b > a,SV266: a > c > c,SV65: b > a,SV25: a > a,SV230: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV266 @ SV137 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV230 @ SV99 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) )
= ( SV266 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1383]) ).
thf(1444,plain,
! [SV99: a > a,SV137: b > a,SV266: a > c > c,SV445: b,SV65: b > a,SV25: a > a,SV230: a > c > c] :
( ( ( ! [SV471: c] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 @ SV445 @ SV471 )
= ( comp_a_c_c_b @ SV266 @ SV137 @ SV445 @ SV471 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV230 @ SV99 )
= SV266 )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1384]) ).
thf(1445,plain,
! [SV99: a > a,SV137: b > a,SV266: a > c > c,SV445: b,SV65: b > a,SV25: a > a,SV230: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 @ SV445 )
= ( comp_a_c_c_b @ SV266 @ SV137 @ SV445 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV230 @ SV99 )
= SV266 )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1384]) ).
thf(1446,plain,
! [SV100: a > c > c,SV66: a > a,SV26: a > c > c,SV387: a > a,SV347: a > a,SV138: a > a] :
( ( ( ! [SV472: a] :
( ( comp_a_a_a @ SV138 @ SV347 @ SV472 )
= ( SV387 @ SV472 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV347 ) )
= ( comp_a_c_c_a @ SV100 @ SV387 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1385]) ).
thf(1447,plain,
! [SV100: a > c > c,SV66: a > a,SV26: a > c > c,SV387: a > a,SV347: a > a,SV138: a > a] :
( ( ( ( comp_a_a_a @ SV138 @ SV347 )
= SV387 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV347 ) )
= ( comp_a_c_c_a @ SV100 @ SV387 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1385]) ).
thf(1448,plain,
! [SV348: a > a,SV26: a > c > c,SV66: a > a,SV100: a > c > c,SV304: a > a,SV138: a > a] :
( ( ( ( comp_a_a_a @ SV138 @ SV304 @ ( sK62_SV446 @ SV100 @ SV66 @ SV26 @ SV348 @ SV304 @ SV138 ) )
= ( SV348 @ ( sK62_SV446 @ SV100 @ SV66 @ SV26 @ SV348 @ SV304 @ SV138 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV304 ) )
= ( comp_a_c_c_a @ SV100 @ SV348 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1386]) ).
thf(1449,plain,
! [SV138: a > a,SV348: a > a,SV100: a > c > c,SV304: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ! [SV473: a] :
( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV304 ) @ SV473 )
= ( comp_a_c_c_a @ SV100 @ SV348 @ SV473 ) ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV304 )
= SV348 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1387]) ).
thf(1450,plain,
! [SV138: a > a,SV348: a > a,SV100: a > c > c,SV304: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV304 ) )
= ( comp_a_c_c_a @ SV100 @ SV348 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV304 )
= SV348 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1387]) ).
thf(1451,plain,
! [SV138: a > a,SV268: a > a,SV100: a > c > c,SV474: a,SV231: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV231 ) @ SV474 )
= ( comp_a_c_c_a @ SV100 @ SV268 @ SV474 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV231 @ ( sK53_SV388 @ SV100 @ SV66 @ SV26 @ SV268 @ SV231 @ SV138 ) )
= ( SV268 @ ( sK53_SV388 @ SV100 @ SV66 @ SV26 @ SV268 @ SV231 @ SV138 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
= ( comp_a_c_c_a @ SV100 @ SV138 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1388]) ).
thf(1452,plain,
! [SV138: a > a,SV268: a > a,SV100: a > c > c,SV448: a,SV231: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ! [SV475: c] :
( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV231 ) @ SV448 @ SV475 )
= ( comp_a_c_c_a @ SV100 @ SV268 @ SV448 @ SV475 ) ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV231 )
= SV268 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
= ( comp_a_c_c_a @ SV100 @ SV138 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1390]) ).
thf(1453,plain,
! [SV138: a > a,SV268: a > a,SV100: a > c > c,SV448: a,SV231: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV231 ) @ SV448 )
= ( comp_a_c_c_a @ SV100 @ SV268 @ SV448 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV231 )
= SV268 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
= ( comp_a_c_c_a @ SV100 @ SV138 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1390]) ).
thf(1454,plain,
! [SV90: a > c > c,SV476: a,SV453: a,SV50: a > a] :
( ( ( ( ( SV50 @ SV453 )
!= ( SV50 @ SV476 ) )
| ( ( SV90 @ SV453 )
= ( SV90 @ SV476 ) ) )
= $true )
| ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1395]) ).
thf(1455,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( ( SV90
!= ( comp_a_c_c_a @ ( sK63_SY428 @ SV50 @ SV90 ) @ SV50 ) ) )
= $false )
| ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1396]) ).
thf(1456,plain,
! [SV90: a > c > c,SV477: a,SV50: a > a] :
( ( ( ! [SY537: a] :
( ( ( SV50 @ SV477 )
!= ( SV50 @ SY537 ) )
| ( ( SV90 @ SV477 )
= ( SV90 @ SY537 ) ) ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1397]) ).
thf(1457,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $false )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1398]) ).
thf(1458,plain,
! [SV90: a > c > c,SV478: a,SV454: a,SV50: a > a] :
( ( ( ( ( SV50 @ SV454 )
!= ( SV50 @ SV478 ) )
| ( ( SV90 @ SV454 )
= ( SV90 @ SV478 ) ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1399]) ).
thf(1459,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( ( SV90
!= ( comp_a_c_c_a @ ( sK64_SY428 @ SV50 @ SV90 ) @ SV50 ) ) )
= $false )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1400]) ).
thf(1460,plain,
! [SV257: a > c > c,SV90: a > c > c,SV50: a > a] :
( ( ( ~ ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) ) )
= $false )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1401]) ).
thf(1461,plain,
! [SV257: a > c > c,SV50: a > a,SV90: a > c > c] :
( ( ( ~ ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $false )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1401]) ).
thf(1462,plain,
! [SV257: a > c > c,SV90: a > c > c,SV50: a > a] :
( ( ( ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1402]) ).
thf(1463,plain,
! [SV257: a > c > c,SV50: a > a,SV90: a > c > c] :
( ( ( ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1403]) ).
thf(1464,plain,
! [SV257: a > c > c,SV90: a > c > c,SV479: a,SV455: a,SV50: a > a] :
( ( ( ( ( SV50 @ SV455 )
!= ( SV50 @ SV479 ) )
| ( ( SV90 @ SV455 )
= ( SV90 @ SV479 ) ) )
= $true )
| ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1404]) ).
thf(1465,plain,
! [SV50: a > a,SV257: a > c > c,SV90: a > c > c] :
( ( ( ( SV90
!= ( comp_a_c_c_a @ ( sK65_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 ) ) )
= $false )
| ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1405]) ).
thf(1466,plain,
! [SV91: a > c > c] :
( ( ( ~ ( finite19304177ms_a_c @ SV91 ) )
= $false )
| ( ( finite19304177ms_a_c @ SV91 )
= $false )
| ( ( finite746615251te_a_c @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1406]) ).
thf(1467,plain,
! [SV91: a > c > c] :
( ( ( ~ ( finite746615251te_a_c @ SV91 ) )
= $false )
| ( ( finite19304177ms_a_c @ SV91 )
= $false )
| ( ( finite746615251te_a_c @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1406]) ).
thf(1468,plain,
! [SV297: a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) ) )
= $true )
| ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1407]) ).
thf(1469,plain,
! [SV297: a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $true )
| ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1408]) ).
thf(1470,plain,
! [SV297: a,SV480: a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ~ ! [SY538: a] :
( ( SV52 @ SY538 )
!= ( SV92 @ SV480 ) ) )
= $true )
| ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1409]) ).
thf(1471,plain,
! [SV297: a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $false )
| ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1410]) ).
thf(1472,plain,
! [SV258: a > a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ~ ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) ) )
= $false )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1411]) ).
thf(1473,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ~ ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $false )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1411]) ).
thf(1474,plain,
! [SV258: a > a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1412]) ).
thf(1475,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1413]) ).
thf(1476,plain,
! [SV258: a > a,SV456: a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ! [SY536: a] :
( ( SV52 @ SY536 )
!= ( SV92 @ SV456 ) ) )
= $false )
| ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1414]) ).
thf(1477,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ( SV92
!= ( comp_a_c_c_a @ SV52 @ ( sK66_SY431 @ SV258 @ SV52 @ SV92 ) ) ) )
= $false )
| ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1415]) ).
thf(1478,plain,
! [SV457: a,SV433: a,SV58: a > c > c] :
( ( ( ! [SV481: c] :
( ( comp_c_c_c @ ( SV58 @ SV433 ) @ ( SV58 @ SV457 ) @ SV481 )
= ( comp_c_c_c @ ( SV58 @ SV457 ) @ ( SV58 @ SV433 ) @ SV481 ) ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1416]) ).
thf(1479,plain,
! [SV457: a,SV433: a,SV58: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV58 @ SV433 ) @ ( SV58 @ SV457 ) )
= ( comp_c_c_c @ ( SV58 @ SV457 ) @ ( SV58 @ SV433 ) ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1416]) ).
thf(1480,plain,
! [SV482: c,SV434: a,SV412: a,SV58: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV58 @ SV412 ) @ ( SV58 @ SV434 ) @ SV482 )
= ( comp_c_c_c @ ( SV58 @ SV434 ) @ ( SV58 @ SV412 ) @ SV482 ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1417]) ).
thf(1481,plain,
! [SV301: a > c > c,SV23: a > a,SV63: a > a,SV135: a > a,SV97: a > a,SV261: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV261 @ SV97 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) @ ( sK67_SV460 @ SV301 @ SV23 @ SV63 @ SV135 @ SV97 @ SV261 ) )
= ( SV301 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) @ ( sK67_SV460 @ SV301 @ SV23 @ SV63 @ SV135 @ SV97 @ SV261 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV301 @ SV135 ) )
= $true )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1420]) ).
thf(1482,plain,
! [SV97: a > a,SV135: a > a,SV301: a > c > c,SV63: a > a,SV23: a > a,SV261: a > c > c] :
( ( ( ! [SV483: a] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 @ SV483 )
= ( comp_a_c_c_a @ SV301 @ SV135 @ SV483 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV261 @ SV97 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) )
= ( SV301 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1421]) ).
thf(1483,plain,
! [SV97: a > a,SV135: a > a,SV301: a > c > c,SV63: a > a,SV23: a > a,SV261: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV301 @ SV135 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV261 @ SV97 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) )
= ( SV301 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1421]) ).
thf(1484,plain,
! [SV97: a > a,SV135: a > a,SV301: a > c > c,SV461: a,SV63: a > a,SV23: a > a,SV261: a > c > c] :
( ( ( ! [SV484: c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 @ SV461 @ SV484 )
= ( comp_a_c_c_a @ SV301 @ SV135 @ SV461 @ SV484 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV261 @ SV97 )
= SV301 )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1422]) ).
thf(1485,plain,
! [SV97: a > a,SV135: a > a,SV301: a > c > c,SV461: a,SV63: a > a,SV23: a > a,SV261: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 @ SV461 )
= ( comp_a_c_c_a @ SV301 @ SV135 @ SV461 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV261 @ SV97 )
= SV301 )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1422]) ).
thf(1486,plain,
! [SV97: a > a,SV135: a > a,SV262: a > c > c,SV63: a > a,SV23: a > a,SV228: a > c > c] :
( ( ( ! [SV485: a] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 @ SV485 )
= ( comp_a_c_c_a @ SV262 @ SV135 @ SV485 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV228 @ SV97 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) @ ( sK58_SV438 @ SV262 @ SV23 @ SV63 @ SV135 @ SV97 @ SV228 ) )
= ( SV262 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) @ ( sK58_SV438 @ SV262 @ SV23 @ SV63 @ SV135 @ SV97 @ SV228 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1423]) ).
thf(1487,plain,
! [SV97: a > a,SV135: a > a,SV262: a > c > c,SV63: a > a,SV23: a > a,SV228: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV262 @ SV135 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV228 @ SV97 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) @ ( sK58_SV438 @ SV262 @ SV23 @ SV63 @ SV135 @ SV97 @ SV228 ) )
= ( SV262 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) @ ( sK58_SV438 @ SV262 @ SV23 @ SV63 @ SV135 @ SV97 @ SV228 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1423]) ).
thf(1488,plain,
! [SV97: a > a,SV135: a > a,SV262: a > c > c,SV486: a,SV63: a > a,SV23: a > a,SV228: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 @ SV486 )
= ( comp_a_c_c_a @ SV262 @ SV135 @ SV486 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV228 @ SV97 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) )
= ( SV262 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1424]) ).
thf(1489,plain,
! [SV97: a > a,SV135: a > a,SV262: a > c > c,SV487: c,SV439: a,SV63: a > a,SV23: a > a,SV228: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 @ SV439 @ SV487 )
= ( comp_a_c_c_a @ SV262 @ SV135 @ SV439 @ SV487 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV228 @ SV97 )
= SV262 )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1426]) ).
thf(1490,plain,
! [SV384: a > c > c,SV24: a > c > c,SV64: a > a,SV136: a > a,SV98: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) )
= ( SV384 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV384 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1428]) ).
thf(1491,plain,
! [SV98: a > c > c,SV136: a > a,SV384: a > c > c,SV64: a > a,SV24: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ! [SV488: a] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 @ SV488 )
= ( comp_a_c_c_a @ SV384 @ SV136 @ SV488 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 )
= SV384 )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1429]) ).
thf(1492,plain,
! [SV98: a > c > c,SV136: a > a,SV384: a > c > c,SV64: a > a,SV24: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV384 @ SV136 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 )
= SV384 )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1429]) ).
thf(1493,plain,
! [SV346: a > c > c,SV24: a > c > c,SV64: a > a,SV136: a > a,SV98: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ! [SV489: c] :
( ( comp_c_c_c_c_a @ SV302 @ SV98 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) @ SV489 )
= ( SV346 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) @ SV489 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV346 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1430]) ).
thf(1494,plain,
! [SV346: a > c > c,SV24: a > c > c,SV64: a > a,SV136: a > a,SV98: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) )
= ( SV346 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV346 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1430]) ).
thf(1495,plain,
! [SV98: a > c > c,SV136: a > a,SV346: a > c > c,SV490: a,SV64: a > a,SV24: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 @ SV490 )
= ( comp_a_c_c_a @ SV346 @ SV136 @ SV490 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 )
= SV346 )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1431]) ).
thf(1496,plain,
! [SV98: a > c > c,SV136: a > a,SV264: a > c > c,SV64: a > a,SV24: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ! [SV491: a] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 @ SV491 )
= ( comp_a_c_c_a @ SV264 @ SV136 @ SV491 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) @ ( sK60_SV441 @ SV264 @ SV24 @ SV64 @ SV136 @ SV98 @ SV229 ) )
= ( SV264 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) @ ( sK60_SV441 @ SV264 @ SV24 @ SV64 @ SV136 @ SV98 @ SV229 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1433]) ).
thf(1497,plain,
! [SV98: a > c > c,SV136: a > a,SV264: a > c > c,SV64: a > a,SV24: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV264 @ SV136 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) @ ( sK60_SV441 @ SV264 @ SV24 @ SV64 @ SV136 @ SV98 @ SV229 ) )
= ( SV264 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) @ ( sK60_SV441 @ SV264 @ SV24 @ SV64 @ SV136 @ SV98 @ SV229 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1433]) ).
thf(1498,plain,
! [SV98: a > c > c,SV136: a > a,SV264: a > c > c,SV492: a,SV64: a > a,SV24: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 @ SV492 )
= ( comp_a_c_c_a @ SV264 @ SV136 @ SV492 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) )
= ( SV264 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1434]) ).
thf(1499,plain,
! [SV98: a > c > c,SV136: a > a,SV264: a > c > c,SV493: c,SV442: a,SV64: a > a,SV24: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 @ SV442 @ SV493 )
= ( comp_a_c_c_a @ SV264 @ SV136 @ SV442 @ SV493 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 )
= SV264 )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1436]) ).
thf(1500,plain,
! [SV303: a > c > c,SV25: a > a,SV65: b > a,SV137: b > a,SV99: a > a,SV265: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV265 @ SV99 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) @ ( sK69_SV468 @ SV303 @ SV25 @ SV65 @ SV137 @ SV99 @ SV265 ) )
= ( SV303 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) @ ( sK69_SV468 @ SV303 @ SV25 @ SV65 @ SV137 @ SV99 @ SV265 ) ) )
= $false )
| ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV303 @ SV137 ) )
= $true )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1438]) ).
thf(1501,plain,
! [SV99: a > a,SV137: b > a,SV303: a > c > c,SV65: b > a,SV25: a > a,SV265: a > c > c] :
( ( ( ! [SV494: b] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 @ SV494 )
= ( comp_a_c_c_b @ SV303 @ SV137 @ SV494 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV265 @ SV99 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) )
= ( SV303 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1439]) ).
thf(1502,plain,
! [SV99: a > a,SV137: b > a,SV303: a > c > c,SV65: b > a,SV25: a > a,SV265: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV303 @ SV137 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV265 @ SV99 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) )
= ( SV303 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1439]) ).
thf(1503,plain,
! [SV99: a > a,SV137: b > a,SV303: a > c > c,SV469: b,SV65: b > a,SV25: a > a,SV265: a > c > c] :
( ( ( ! [SV495: c] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 @ SV469 @ SV495 )
= ( comp_a_c_c_b @ SV303 @ SV137 @ SV469 @ SV495 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV265 @ SV99 )
= SV303 )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1440]) ).
thf(1504,plain,
! [SV99: a > a,SV137: b > a,SV303: a > c > c,SV469: b,SV65: b > a,SV25: a > a,SV265: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 @ SV469 )
= ( comp_a_c_c_b @ SV303 @ SV137 @ SV469 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV265 @ SV99 )
= SV303 )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1440]) ).
thf(1505,plain,
! [SV99: a > a,SV137: b > a,SV266: a > c > c,SV65: b > a,SV25: a > a,SV230: a > c > c] :
( ( ( ! [SV496: b] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 @ SV496 )
= ( comp_a_c_c_b @ SV266 @ SV137 @ SV496 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV230 @ SV99 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) @ ( sK61_SV444 @ SV266 @ SV25 @ SV65 @ SV137 @ SV99 @ SV230 ) )
= ( SV266 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) @ ( sK61_SV444 @ SV266 @ SV25 @ SV65 @ SV137 @ SV99 @ SV230 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1441]) ).
thf(1506,plain,
! [SV99: a > a,SV137: b > a,SV266: a > c > c,SV65: b > a,SV25: a > a,SV230: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV266 @ SV137 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV230 @ SV99 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) @ ( sK61_SV444 @ SV266 @ SV25 @ SV65 @ SV137 @ SV99 @ SV230 ) )
= ( SV266 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) @ ( sK61_SV444 @ SV266 @ SV25 @ SV65 @ SV137 @ SV99 @ SV230 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1441]) ).
thf(1507,plain,
! [SV99: a > a,SV137: b > a,SV266: a > c > c,SV497: b,SV65: b > a,SV25: a > a,SV230: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 @ SV497 )
= ( comp_a_c_c_b @ SV266 @ SV137 @ SV497 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV230 @ SV99 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) )
= ( SV266 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1442]) ).
thf(1508,plain,
! [SV99: a > a,SV137: b > a,SV266: a > c > c,SV498: c,SV445: b,SV65: b > a,SV25: a > a,SV230: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 @ SV445 @ SV498 )
= ( comp_a_c_c_b @ SV266 @ SV137 @ SV445 @ SV498 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV230 @ SV99 )
= SV266 )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1444]) ).
thf(1509,plain,
! [SV387: a > a,SV26: a > c > c,SV66: a > a,SV100: a > c > c,SV347: a > a,SV138: a > a] :
( ( ( ( comp_a_a_a @ SV138 @ SV347 @ ( sK70_SV472 @ SV100 @ SV66 @ SV26 @ SV387 @ SV347 @ SV138 ) )
= ( SV387 @ ( sK70_SV472 @ SV100 @ SV66 @ SV26 @ SV387 @ SV347 @ SV138 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV347 ) )
= ( comp_a_c_c_a @ SV100 @ SV387 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1446]) ).
thf(1510,plain,
! [SV138: a > a,SV387: a > a,SV100: a > c > c,SV347: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ! [SV499: a] :
( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV347 ) @ SV499 )
= ( comp_a_c_c_a @ SV100 @ SV387 @ SV499 ) ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV347 )
= SV387 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1447]) ).
thf(1511,plain,
! [SV138: a > a,SV387: a > a,SV100: a > c > c,SV347: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV347 ) )
= ( comp_a_c_c_a @ SV100 @ SV387 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV347 )
= SV387 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1447]) ).
thf(1512,plain,
! [SV138: a > a,SV348: a > a,SV100: a > c > c,SV304: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ! [SV500: a] :
( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV304 ) @ SV500 )
= ( comp_a_c_c_a @ SV100 @ SV348 @ SV500 ) ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV304 @ ( sK62_SV446 @ SV100 @ SV66 @ SV26 @ SV348 @ SV304 @ SV138 ) )
= ( SV348 @ ( sK62_SV446 @ SV100 @ SV66 @ SV26 @ SV348 @ SV304 @ SV138 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1448]) ).
thf(1513,plain,
! [SV138: a > a,SV348: a > a,SV100: a > c > c,SV304: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV304 ) )
= ( comp_a_c_c_a @ SV100 @ SV348 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV304 @ ( sK62_SV446 @ SV100 @ SV66 @ SV26 @ SV348 @ SV304 @ SV138 ) )
= ( SV348 @ ( sK62_SV446 @ SV100 @ SV66 @ SV26 @ SV348 @ SV304 @ SV138 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1448]) ).
thf(1514,plain,
! [SV138: a > a,SV348: a > a,SV100: a > c > c,SV501: a,SV304: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV304 ) @ SV501 )
= ( comp_a_c_c_a @ SV100 @ SV348 @ SV501 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV304 )
= SV348 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1449]) ).
thf(1515,plain,
! [SV138: a > a,SV268: a > a,SV100: a > c > c,SV474: a,SV231: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ! [SV502: c] :
( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV231 ) @ SV474 @ SV502 )
= ( comp_a_c_c_a @ SV100 @ SV268 @ SV474 @ SV502 ) ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV231 @ ( sK53_SV388 @ SV100 @ SV66 @ SV26 @ SV268 @ SV231 @ SV138 ) )
= ( SV268 @ ( sK53_SV388 @ SV100 @ SV66 @ SV26 @ SV268 @ SV231 @ SV138 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
= ( comp_a_c_c_a @ SV100 @ SV138 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1451]) ).
thf(1516,plain,
! [SV138: a > a,SV268: a > a,SV100: a > c > c,SV474: a,SV231: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV231 ) @ SV474 )
= ( comp_a_c_c_a @ SV100 @ SV268 @ SV474 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV231 @ ( sK53_SV388 @ SV100 @ SV66 @ SV26 @ SV268 @ SV231 @ SV138 ) )
= ( SV268 @ ( sK53_SV388 @ SV100 @ SV66 @ SV26 @ SV268 @ SV231 @ SV138 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
= ( comp_a_c_c_a @ SV100 @ SV138 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1451]) ).
thf(1517,plain,
! [SV138: a > a,SV268: a > a,SV100: a > c > c,SV503: c,SV448: a,SV231: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV231 ) @ SV448 @ SV503 )
= ( comp_a_c_c_a @ SV100 @ SV268 @ SV448 @ SV503 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV231 )
= SV268 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
= ( comp_a_c_c_a @ SV100 @ SV138 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1452]) ).
thf(1518,plain,
! [SV90: a > c > c,SV476: a,SV453: a,SV50: a > a] :
( ( ( ( ( SV50 @ SV453 )
!= ( SV50 @ SV476 ) ) )
= $true )
| ( ( ( SV90 @ SV453 )
= ( SV90 @ SV476 ) )
= $true )
| ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1454]) ).
thf(1519,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( SV90
= ( comp_a_c_c_a @ ( sK63_SY428 @ SV50 @ SV90 ) @ SV50 ) )
= $true )
| ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1455]) ).
thf(1520,plain,
! [SV90: a > c > c,SV504: a,SV477: a,SV50: a > a] :
( ( ( ( ( SV50 @ SV477 )
!= ( SV50 @ SV504 ) )
| ( ( SV90 @ SV477 )
= ( SV90 @ SV504 ) ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1456]) ).
thf(1521,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( ( SV90
!= ( comp_a_c_c_a @ ( sK71_SY428 @ SV50 @ SV90 ) @ SV50 ) ) )
= $false )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1457]) ).
thf(1522,plain,
! [SV90: a > c > c,SV478: a,SV454: a,SV50: a > a] :
( ( ( ( ( SV50 @ SV454 )
!= ( SV50 @ SV478 ) ) )
= $true )
| ( ( ( SV90 @ SV454 )
= ( SV90 @ SV478 ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1458]) ).
thf(1523,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( SV90
= ( comp_a_c_c_a @ ( sK64_SY428 @ SV50 @ SV90 ) @ SV50 ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1459]) ).
thf(1524,plain,
! [SV257: a > c > c,SV90: a > c > c,SV50: a > a] :
( ( ( ! [SY426: a,SY427: a] :
( ( ( SV50 @ SY426 )
!= ( SV50 @ SY427 ) )
| ( ( SV90 @ SY426 )
= ( SV90 @ SY427 ) ) ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1460]) ).
thf(1525,plain,
! [SV257: a > c > c,SV50: a > a,SV90: a > c > c] :
( ( ( ~ ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1461]) ).
thf(1526,plain,
! [SV257: a > c > c,SV90: a > c > c,SV505: a,SV50: a > a] :
( ( ( ! [SY539: a] :
( ( ( SV50 @ SV505 )
!= ( SV50 @ SY539 ) )
| ( ( SV90 @ SV505 )
= ( SV90 @ SY539 ) ) ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1462]) ).
thf(1527,plain,
! [SV257: a > c > c,SV50: a > a,SV90: a > c > c] :
( ( ( ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $false )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1463]) ).
thf(1528,plain,
! [SV257: a > c > c,SV90: a > c > c,SV479: a,SV455: a,SV50: a > a] :
( ( ( ( ( SV50 @ SV455 )
!= ( SV50 @ SV479 ) ) )
= $true )
| ( ( ( SV90 @ SV455 )
= ( SV90 @ SV479 ) )
= $true )
| ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1464]) ).
thf(1529,plain,
! [SV50: a > a,SV257: a > c > c,SV90: a > c > c] :
( ( ( SV90
= ( comp_a_c_c_a @ ( sK65_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 ) )
= $true )
| ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1465]) ).
thf(1530,plain,
! [SV91: a > c > c] :
( ( ( finite19304177ms_a_c @ SV91 )
= $true )
| ( ( finite19304177ms_a_c @ SV91 )
= $false )
| ( ( finite746615251te_a_c @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1466]) ).
thf(1531,plain,
! [SV91: a > c > c] :
( ( ( finite746615251te_a_c @ SV91 )
= $true )
| ( ( finite19304177ms_a_c @ SV91 )
= $false )
| ( ( finite746615251te_a_c @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1467]) ).
thf(1532,plain,
! [SV297: a,SV506: a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ~ ! [SY540: a] :
( ( SV52 @ SY540 )
!= ( SV92 @ SV506 ) ) )
= $true )
| ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1468]) ).
thf(1533,plain,
! [SV297: a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $false )
| ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1469]) ).
thf(1534,plain,
! [SV297: a,SV480: a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ! [SY538: a] :
( ( SV52 @ SY538 )
!= ( SV92 @ SV480 ) ) )
= $false )
| ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1470]) ).
thf(1535,plain,
! [SV297: a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ( SV92
!= ( comp_a_c_c_a @ SV52 @ ( sK72_SY431 @ SV297 @ SV52 @ SV92 ) ) ) )
= $false )
| ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1471]) ).
thf(1536,plain,
! [SV258: a > a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ! [SY429: a] :
~ ! [SY430: a] :
( ( SV52 @ SY430 )
!= ( SV92 @ SY429 ) ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1472]) ).
thf(1537,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ~ ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1473]) ).
thf(1538,plain,
! [SV258: a > a,SV507: a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ~ ! [SY541: a] :
( ( SV52 @ SY541 )
!= ( SV92 @ SV507 ) ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1474]) ).
thf(1539,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $false )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1475]) ).
thf(1540,plain,
! [SV92: a > c > c,SV456: a,SV258: a > a,SV52: a > c > c] :
( ( ( ( ( SV52 @ ( sK73_SY536 @ SV258 @ SV456 @ SV92 @ SV52 ) )
!= ( SV92 @ SV456 ) ) )
= $false )
| ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1476]) ).
thf(1541,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( SV92
= ( comp_a_c_c_a @ SV52 @ ( sK66_SY431 @ SV258 @ SV52 @ SV92 ) ) )
= $true )
| ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1477]) ).
thf(1542,plain,
! [SV508: c,SV457: a,SV433: a,SV58: a > c > c] :
( ( ( ( comp_c_c_c @ ( SV58 @ SV433 ) @ ( SV58 @ SV457 ) @ SV508 )
= ( comp_c_c_c @ ( SV58 @ SV457 ) @ ( SV58 @ SV433 ) @ SV508 ) )
= $true )
| ( ( ( comp_c_c_c @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) )
= ( comp_c_c_c @ ( SV58 @ ( sK19_SY516 @ SV58 ) ) @ ( SV58 @ ( sK8_SY347 @ SV58 ) ) @ ( sK38_SV260 @ SV58 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1478]) ).
thf(1543,plain,
! [SV97: a > a,SV135: a > a,SV301: a > c > c,SV63: a > a,SV23: a > a,SV261: a > c > c] :
( ( ( ! [SV509: a] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 @ SV509 )
= ( comp_a_c_c_a @ SV301 @ SV135 @ SV509 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV261 @ SV97 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) @ ( sK67_SV460 @ SV301 @ SV23 @ SV63 @ SV135 @ SV97 @ SV261 ) )
= ( SV301 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) @ ( sK67_SV460 @ SV301 @ SV23 @ SV63 @ SV135 @ SV97 @ SV261 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1481]) ).
thf(1544,plain,
! [SV97: a > a,SV135: a > a,SV301: a > c > c,SV63: a > a,SV23: a > a,SV261: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 )
= ( comp_a_c_c_a @ SV301 @ SV135 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV261 @ SV97 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) @ ( sK67_SV460 @ SV301 @ SV23 @ SV63 @ SV135 @ SV97 @ SV261 ) )
= ( SV301 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) @ ( sK67_SV460 @ SV301 @ SV23 @ SV63 @ SV135 @ SV97 @ SV261 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1481]) ).
thf(1545,plain,
! [SV97: a > a,SV135: a > a,SV301: a > c > c,SV510: a,SV63: a > a,SV23: a > a,SV261: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 @ SV510 )
= ( comp_a_c_c_a @ SV301 @ SV135 @ SV510 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV261 @ SV97 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) )
= ( SV301 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1482]) ).
thf(1546,plain,
! [SV97: a > a,SV135: a > a,SV301: a > c > c,SV511: c,SV461: a,SV63: a > a,SV23: a > a,SV261: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 @ SV461 @ SV511 )
= ( comp_a_c_c_a @ SV301 @ SV135 @ SV461 @ SV511 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV261 @ SV97 )
= SV301 )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1484]) ).
thf(1547,plain,
! [SV97: a > a,SV135: a > a,SV262: a > c > c,SV512: a,SV63: a > a,SV23: a > a,SV228: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 @ SV512 )
= ( comp_a_c_c_a @ SV262 @ SV135 @ SV512 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV228 @ SV97 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) @ ( sK58_SV438 @ SV262 @ SV23 @ SV63 @ SV135 @ SV97 @ SV228 ) )
= ( SV262 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) @ ( sK58_SV438 @ SV262 @ SV23 @ SV63 @ SV135 @ SV97 @ SV228 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1486]) ).
thf(1548,plain,
! [SV97: a > a,SV135: a > a,SV262: a > c > c,SV486: a,SV63: a > a,SV23: a > a,SV228: a > c > c] :
( ( ( ! [SV513: c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 @ SV486 @ SV513 )
= ( comp_a_c_c_a @ SV262 @ SV135 @ SV486 @ SV513 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV228 @ SV97 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) )
= ( SV262 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1488]) ).
thf(1549,plain,
! [SV97: a > a,SV135: a > a,SV262: a > c > c,SV486: a,SV63: a > a,SV23: a > a,SV228: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 @ SV486 )
= ( comp_a_c_c_a @ SV262 @ SV135 @ SV486 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV228 @ SV97 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) )
= ( SV262 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1488]) ).
thf(1550,plain,
! [SV384: a > c > c,SV24: a > c > c,SV64: a > a,SV136: a > a,SV98: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ! [SV514: c] :
( ( comp_c_c_c_c_a @ SV345 @ SV98 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) @ SV514 )
= ( SV384 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) @ SV514 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV384 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1490]) ).
thf(1551,plain,
! [SV384: a > c > c,SV24: a > c > c,SV64: a > a,SV136: a > a,SV98: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) )
= ( SV384 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV384 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1490]) ).
thf(1552,plain,
! [SV98: a > c > c,SV136: a > a,SV384: a > c > c,SV515: a,SV64: a > a,SV24: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 @ SV515 )
= ( comp_a_c_c_a @ SV384 @ SV136 @ SV515 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 )
= SV384 )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1491]) ).
thf(1553,plain,
! [SV346: a > c > c,SV24: a > c > c,SV64: a > a,SV136: a > a,SV98: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) @ ( sK74_SV489 @ SV346 @ SV24 @ SV64 @ SV136 @ SV98 @ SV302 ) )
= ( SV346 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) @ ( sK74_SV489 @ SV346 @ SV24 @ SV64 @ SV136 @ SV98 @ SV302 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV346 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1493]) ).
thf(1554,plain,
! [SV98: a > c > c,SV136: a > a,SV346: a > c > c,SV64: a > a,SV24: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ! [SV516: a] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 @ SV516 )
= ( comp_a_c_c_a @ SV346 @ SV136 @ SV516 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) )
= ( SV346 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1494]) ).
thf(1555,plain,
! [SV98: a > c > c,SV136: a > a,SV346: a > c > c,SV64: a > a,SV24: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV346 @ SV136 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) )
= ( SV346 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1494]) ).
thf(1556,plain,
! [SV98: a > c > c,SV136: a > a,SV346: a > c > c,SV490: a,SV64: a > a,SV24: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ! [SV517: c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 @ SV490 @ SV517 )
= ( comp_a_c_c_a @ SV346 @ SV136 @ SV490 @ SV517 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 )
= SV346 )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1495]) ).
thf(1557,plain,
! [SV98: a > c > c,SV136: a > a,SV346: a > c > c,SV490: a,SV64: a > a,SV24: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 @ SV490 )
= ( comp_a_c_c_a @ SV346 @ SV136 @ SV490 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 )
= SV346 )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1495]) ).
thf(1558,plain,
! [SV98: a > c > c,SV136: a > a,SV264: a > c > c,SV518: a,SV64: a > a,SV24: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 @ SV518 )
= ( comp_a_c_c_a @ SV264 @ SV136 @ SV518 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) @ ( sK60_SV441 @ SV264 @ SV24 @ SV64 @ SV136 @ SV98 @ SV229 ) )
= ( SV264 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) @ ( sK60_SV441 @ SV264 @ SV24 @ SV64 @ SV136 @ SV98 @ SV229 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1496]) ).
thf(1559,plain,
! [SV98: a > c > c,SV136: a > a,SV264: a > c > c,SV492: a,SV64: a > a,SV24: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ! [SV519: c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 @ SV492 @ SV519 )
= ( comp_a_c_c_a @ SV264 @ SV136 @ SV492 @ SV519 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) )
= ( SV264 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1498]) ).
thf(1560,plain,
! [SV98: a > c > c,SV136: a > a,SV264: a > c > c,SV492: a,SV64: a > a,SV24: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 @ SV492 )
= ( comp_a_c_c_a @ SV264 @ SV136 @ SV492 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) )
= ( SV264 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1498]) ).
thf(1561,plain,
! [SV99: a > a,SV137: b > a,SV303: a > c > c,SV65: b > a,SV25: a > a,SV265: a > c > c] :
( ( ( ! [SV520: b] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 @ SV520 )
= ( comp_a_c_c_b @ SV303 @ SV137 @ SV520 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV265 @ SV99 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) @ ( sK69_SV468 @ SV303 @ SV25 @ SV65 @ SV137 @ SV99 @ SV265 ) )
= ( SV303 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) @ ( sK69_SV468 @ SV303 @ SV25 @ SV65 @ SV137 @ SV99 @ SV265 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1500]) ).
thf(1562,plain,
! [SV99: a > a,SV137: b > a,SV303: a > c > c,SV65: b > a,SV25: a > a,SV265: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 )
= ( comp_a_c_c_b @ SV303 @ SV137 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV265 @ SV99 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) @ ( sK69_SV468 @ SV303 @ SV25 @ SV65 @ SV137 @ SV99 @ SV265 ) )
= ( SV303 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) @ ( sK69_SV468 @ SV303 @ SV25 @ SV65 @ SV137 @ SV99 @ SV265 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1500]) ).
thf(1563,plain,
! [SV99: a > a,SV137: b > a,SV303: a > c > c,SV521: b,SV65: b > a,SV25: a > a,SV265: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 @ SV521 )
= ( comp_a_c_c_b @ SV303 @ SV137 @ SV521 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV265 @ SV99 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) )
= ( SV303 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1501]) ).
thf(1564,plain,
! [SV99: a > a,SV137: b > a,SV303: a > c > c,SV522: c,SV469: b,SV65: b > a,SV25: a > a,SV265: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 @ SV469 @ SV522 )
= ( comp_a_c_c_b @ SV303 @ SV137 @ SV469 @ SV522 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV265 @ SV99 )
= SV303 )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1503]) ).
thf(1565,plain,
! [SV99: a > a,SV137: b > a,SV266: a > c > c,SV523: b,SV65: b > a,SV25: a > a,SV230: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 @ SV523 )
= ( comp_a_c_c_b @ SV266 @ SV137 @ SV523 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV230 @ SV99 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) @ ( sK61_SV444 @ SV266 @ SV25 @ SV65 @ SV137 @ SV99 @ SV230 ) )
= ( SV266 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) @ ( sK61_SV444 @ SV266 @ SV25 @ SV65 @ SV137 @ SV99 @ SV230 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1505]) ).
thf(1566,plain,
! [SV99: a > a,SV137: b > a,SV266: a > c > c,SV497: b,SV65: b > a,SV25: a > a,SV230: a > c > c] :
( ( ( ! [SV524: c] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 @ SV497 @ SV524 )
= ( comp_a_c_c_b @ SV266 @ SV137 @ SV497 @ SV524 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV230 @ SV99 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) )
= ( SV266 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1507]) ).
thf(1567,plain,
! [SV99: a > a,SV137: b > a,SV266: a > c > c,SV497: b,SV65: b > a,SV25: a > a,SV230: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 @ SV497 )
= ( comp_a_c_c_b @ SV266 @ SV137 @ SV497 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV230 @ SV99 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) )
= ( SV266 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1507]) ).
thf(1568,plain,
! [SV138: a > a,SV387: a > a,SV100: a > c > c,SV347: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ! [SV525: a] :
( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV347 ) @ SV525 )
= ( comp_a_c_c_a @ SV100 @ SV387 @ SV525 ) ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV347 @ ( sK70_SV472 @ SV100 @ SV66 @ SV26 @ SV387 @ SV347 @ SV138 ) )
= ( SV387 @ ( sK70_SV472 @ SV100 @ SV66 @ SV26 @ SV387 @ SV347 @ SV138 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1509]) ).
thf(1569,plain,
! [SV138: a > a,SV387: a > a,SV100: a > c > c,SV347: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV347 ) )
= ( comp_a_c_c_a @ SV100 @ SV387 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV347 @ ( sK70_SV472 @ SV100 @ SV66 @ SV26 @ SV387 @ SV347 @ SV138 ) )
= ( SV387 @ ( sK70_SV472 @ SV100 @ SV66 @ SV26 @ SV387 @ SV347 @ SV138 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1509]) ).
thf(1570,plain,
! [SV138: a > a,SV387: a > a,SV100: a > c > c,SV526: a,SV347: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV347 ) @ SV526 )
= ( comp_a_c_c_a @ SV100 @ SV387 @ SV526 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV347 )
= SV387 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1510]) ).
thf(1571,plain,
! [SV138: a > a,SV348: a > a,SV100: a > c > c,SV527: a,SV304: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV304 ) @ SV527 )
= ( comp_a_c_c_a @ SV100 @ SV348 @ SV527 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV304 @ ( sK62_SV446 @ SV100 @ SV66 @ SV26 @ SV348 @ SV304 @ SV138 ) )
= ( SV348 @ ( sK62_SV446 @ SV100 @ SV66 @ SV26 @ SV348 @ SV304 @ SV138 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1512]) ).
thf(1572,plain,
! [SV138: a > a,SV348: a > a,SV100: a > c > c,SV501: a,SV304: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ! [SV528: c] :
( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV304 ) @ SV501 @ SV528 )
= ( comp_a_c_c_a @ SV100 @ SV348 @ SV501 @ SV528 ) ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV304 )
= SV348 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1514]) ).
thf(1573,plain,
! [SV138: a > a,SV348: a > a,SV100: a > c > c,SV501: a,SV304: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV304 ) @ SV501 )
= ( comp_a_c_c_a @ SV100 @ SV348 @ SV501 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV304 )
= SV348 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1514]) ).
thf(1574,plain,
! [SV138: a > a,SV268: a > a,SV100: a > c > c,SV529: c,SV474: a,SV231: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV231 ) @ SV474 @ SV529 )
= ( comp_a_c_c_a @ SV100 @ SV268 @ SV474 @ SV529 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV231 @ ( sK53_SV388 @ SV100 @ SV66 @ SV26 @ SV268 @ SV231 @ SV138 ) )
= ( SV268 @ ( sK53_SV388 @ SV100 @ SV66 @ SV26 @ SV268 @ SV231 @ SV138 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 )
= ( comp_a_c_c_a @ SV100 @ SV138 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1515]) ).
thf(1575,plain,
! [SV90: a > c > c,SV476: a,SV453: a,SV50: a > a] :
( ( ( ( SV50 @ SV453 )
= ( SV50 @ SV476 ) )
= $false )
| ( ( ( SV90 @ SV453 )
= ( SV90 @ SV476 ) )
= $true )
| ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1518]) ).
thf(1576,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( ! [SV530: a] :
( ( SV90 @ SV530 )
= ( comp_a_c_c_a @ ( sK63_SY428 @ SV50 @ SV90 ) @ SV50 @ SV530 ) ) )
= $true )
| ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1519]) ).
thf(1577,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( SV90
= ( comp_a_c_c_a @ ( sK63_SY428 @ SV50 @ SV90 ) @ SV50 ) )
= $true )
| ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1519]) ).
thf(1578,plain,
! [SV90: a > c > c,SV504: a,SV477: a,SV50: a > a] :
( ( ( ( ( SV50 @ SV477 )
!= ( SV50 @ SV504 ) ) )
= $true )
| ( ( ( SV90 @ SV477 )
= ( SV90 @ SV504 ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1520]) ).
thf(1579,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( SV90
= ( comp_a_c_c_a @ ( sK71_SY428 @ SV50 @ SV90 ) @ SV50 ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1521]) ).
thf(1580,plain,
! [SV90: a > c > c,SV478: a,SV454: a,SV50: a > a] :
( ( ( ( SV50 @ SV454 )
= ( SV50 @ SV478 ) )
= $false )
| ( ( ( SV90 @ SV454 )
= ( SV90 @ SV478 ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1522]) ).
thf(1581,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( ! [SV531: a] :
( ( SV90 @ SV531 )
= ( comp_a_c_c_a @ ( sK64_SY428 @ SV50 @ SV90 ) @ SV50 @ SV531 ) ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1523]) ).
thf(1582,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( SV90
= ( comp_a_c_c_a @ ( sK64_SY428 @ SV50 @ SV90 ) @ SV50 ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1523]) ).
thf(1583,plain,
! [SV257: a > c > c,SV90: a > c > c,SV532: a,SV50: a > a] :
( ( ( ! [SY542: a] :
( ( ( SV50 @ SV532 )
!= ( SV50 @ SY542 ) )
| ( ( SV90 @ SV532 )
= ( SV90 @ SY542 ) ) ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1524]) ).
thf(1584,plain,
! [SV257: a > c > c,SV50: a > a,SV90: a > c > c] :
( ( ( ! [SY428: a > c > c] :
( SV90
!= ( comp_a_c_c_a @ SY428 @ SV50 ) ) )
= $false )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1525]) ).
thf(1585,plain,
! [SV257: a > c > c,SV90: a > c > c,SV533: a,SV505: a,SV50: a > a] :
( ( ( ( ( SV50 @ SV505 )
!= ( SV50 @ SV533 ) )
| ( ( SV90 @ SV505 )
= ( SV90 @ SV533 ) ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1526]) ).
thf(1586,plain,
! [SV50: a > a,SV257: a > c > c,SV90: a > c > c] :
( ( ( ( SV90
!= ( comp_a_c_c_a @ ( sK75_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 ) ) )
= $false )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1527]) ).
thf(1587,plain,
! [SV257: a > c > c,SV90: a > c > c,SV479: a,SV455: a,SV50: a > a] :
( ( ( ( SV50 @ SV455 )
= ( SV50 @ SV479 ) )
= $false )
| ( ( ( SV90 @ SV455 )
= ( SV90 @ SV479 ) )
= $true )
| ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1528]) ).
thf(1588,plain,
! [SV50: a > a,SV257: a > c > c,SV90: a > c > c] :
( ( ( ! [SV534: a] :
( ( SV90 @ SV534 )
= ( comp_a_c_c_a @ ( sK65_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 @ SV534 ) ) )
= $true )
| ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1529]) ).
thf(1589,plain,
! [SV50: a > a,SV257: a > c > c,SV90: a > c > c] :
( ( ( SV90
= ( comp_a_c_c_a @ ( sK65_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 ) )
= $true )
| ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1529]) ).
thf(1590,plain,
! [SV297: a,SV506: a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ! [SY540: a] :
( ( SV52 @ SY540 )
!= ( SV92 @ SV506 ) ) )
= $false )
| ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1532]) ).
thf(1591,plain,
! [SV297: a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ( SV92
!= ( comp_a_c_c_a @ SV52 @ ( sK76_SY431 @ SV297 @ SV52 @ SV92 ) ) ) )
= $false )
| ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1533]) ).
thf(1592,plain,
! [SV92: a > c > c,SV480: a,SV297: a,SV52: a > c > c] :
( ( ( ( ( SV52 @ ( sK77_SY538 @ SV297 @ SV480 @ SV92 @ SV52 ) )
!= ( SV92 @ SV480 ) ) )
= $false )
| ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1534]) ).
thf(1593,plain,
! [SV297: a,SV52: a > c > c,SV92: a > c > c] :
( ( ( SV92
= ( comp_a_c_c_a @ SV52 @ ( sK72_SY431 @ SV297 @ SV52 @ SV92 ) ) )
= $true )
| ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1535]) ).
thf(1594,plain,
! [SV258: a > a,SV535: a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ~ ! [SY543: a] :
( ( SV52 @ SY543 )
!= ( SV92 @ SV535 ) ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1536]) ).
thf(1595,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ! [SY431: a > a] :
( SV92
!= ( comp_a_c_c_a @ SV52 @ SY431 ) ) )
= $false )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1537]) ).
thf(1596,plain,
! [SV258: a > a,SV507: a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ! [SY541: a] :
( ( SV52 @ SY541 )
!= ( SV92 @ SV507 ) ) )
= $false )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1538]) ).
thf(1597,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ( SV92
!= ( comp_a_c_c_a @ SV52 @ ( sK78_SY431 @ SV258 @ SV52 @ SV92 ) ) ) )
= $false )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1539]) ).
thf(1598,plain,
! [SV92: a > c > c,SV456: a,SV258: a > a,SV52: a > c > c] :
( ( ( ( SV52 @ ( sK73_SY536 @ SV258 @ SV456 @ SV92 @ SV52 ) )
= ( SV92 @ SV456 ) )
= $true )
| ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1540]) ).
thf(1599,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ! [SV536: a] :
( ( SV92 @ SV536 )
= ( comp_a_c_c_a @ SV52 @ ( sK66_SY431 @ SV258 @ SV52 @ SV92 ) @ SV536 ) ) )
= $true )
| ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1541]) ).
thf(1600,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( SV92
= ( comp_a_c_c_a @ SV52 @ ( sK66_SY431 @ SV258 @ SV52 @ SV92 ) ) )
= $true )
| ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1541]) ).
thf(1601,plain,
! [SV97: a > a,SV135: a > a,SV301: a > c > c,SV537: a,SV63: a > a,SV23: a > a,SV261: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 @ SV537 )
= ( comp_a_c_c_a @ SV301 @ SV135 @ SV537 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV261 @ SV97 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) @ ( sK67_SV460 @ SV301 @ SV23 @ SV63 @ SV135 @ SV97 @ SV261 ) )
= ( SV301 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) @ ( sK67_SV460 @ SV301 @ SV23 @ SV63 @ SV135 @ SV97 @ SV261 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1543]) ).
thf(1602,plain,
! [SV97: a > a,SV135: a > a,SV301: a > c > c,SV510: a,SV63: a > a,SV23: a > a,SV261: a > c > c] :
( ( ( ! [SV538: c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 @ SV510 @ SV538 )
= ( comp_a_c_c_a @ SV301 @ SV135 @ SV510 @ SV538 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV261 @ SV97 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) )
= ( SV301 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1545]) ).
thf(1603,plain,
! [SV97: a > a,SV135: a > a,SV301: a > c > c,SV510: a,SV63: a > a,SV23: a > a,SV261: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 @ SV510 )
= ( comp_a_c_c_a @ SV301 @ SV135 @ SV510 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV261 @ SV97 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) )
= ( SV301 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1545]) ).
thf(1604,plain,
! [SV97: a > a,SV135: a > a,SV262: a > c > c,SV512: a,SV63: a > a,SV23: a > a,SV228: a > c > c] :
( ( ( ! [SV539: c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 @ SV512 @ SV539 )
= ( comp_a_c_c_a @ SV262 @ SV135 @ SV512 @ SV539 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV228 @ SV97 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) @ ( sK58_SV438 @ SV262 @ SV23 @ SV63 @ SV135 @ SV97 @ SV228 ) )
= ( SV262 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) @ ( sK58_SV438 @ SV262 @ SV23 @ SV63 @ SV135 @ SV97 @ SV228 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1547]) ).
thf(1605,plain,
! [SV97: a > a,SV135: a > a,SV262: a > c > c,SV512: a,SV63: a > a,SV23: a > a,SV228: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 @ SV512 )
= ( comp_a_c_c_a @ SV262 @ SV135 @ SV512 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV228 @ SV97 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) @ ( sK58_SV438 @ SV262 @ SV23 @ SV63 @ SV135 @ SV97 @ SV228 ) )
= ( SV262 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) @ ( sK58_SV438 @ SV262 @ SV23 @ SV63 @ SV135 @ SV97 @ SV228 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1547]) ).
thf(1606,plain,
! [SV97: a > a,SV135: a > a,SV262: a > c > c,SV540: c,SV486: a,SV63: a > a,SV23: a > a,SV228: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 @ SV486 @ SV540 )
= ( comp_a_c_c_a @ SV262 @ SV135 @ SV486 @ SV540 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV228 @ SV97 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) )
= ( SV262 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1548]) ).
thf(1607,plain,
! [SV384: a > c > c,SV24: a > c > c,SV64: a > a,SV136: a > a,SV98: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) @ ( sK79_SV514 @ SV384 @ SV24 @ SV64 @ SV136 @ SV98 @ SV345 ) )
= ( SV384 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) @ ( sK79_SV514 @ SV384 @ SV24 @ SV64 @ SV136 @ SV98 @ SV345 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV384 @ SV136 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1550]) ).
thf(1608,plain,
! [SV98: a > c > c,SV136: a > a,SV384: a > c > c,SV64: a > a,SV24: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ! [SV541: a] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 @ SV541 )
= ( comp_a_c_c_a @ SV384 @ SV136 @ SV541 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) )
= ( SV384 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1551]) ).
thf(1609,plain,
! [SV98: a > c > c,SV136: a > a,SV384: a > c > c,SV64: a > a,SV24: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV384 @ SV136 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) )
= ( SV384 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1551]) ).
thf(1610,plain,
! [SV98: a > c > c,SV136: a > a,SV384: a > c > c,SV515: a,SV64: a > a,SV24: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ! [SV542: c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 @ SV515 @ SV542 )
= ( comp_a_c_c_a @ SV384 @ SV136 @ SV515 @ SV542 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 )
= SV384 )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1552]) ).
thf(1611,plain,
! [SV98: a > c > c,SV136: a > a,SV384: a > c > c,SV515: a,SV64: a > a,SV24: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 @ SV515 )
= ( comp_a_c_c_a @ SV384 @ SV136 @ SV515 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 )
= SV384 )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1552]) ).
thf(1612,plain,
! [SV98: a > c > c,SV136: a > a,SV346: a > c > c,SV64: a > a,SV24: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ! [SV543: a] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 @ SV543 )
= ( comp_a_c_c_a @ SV346 @ SV136 @ SV543 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) @ ( sK74_SV489 @ SV346 @ SV24 @ SV64 @ SV136 @ SV98 @ SV302 ) )
= ( SV346 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) @ ( sK74_SV489 @ SV346 @ SV24 @ SV64 @ SV136 @ SV98 @ SV302 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1553]) ).
thf(1613,plain,
! [SV98: a > c > c,SV136: a > a,SV346: a > c > c,SV64: a > a,SV24: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV346 @ SV136 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) @ ( sK74_SV489 @ SV346 @ SV24 @ SV64 @ SV136 @ SV98 @ SV302 ) )
= ( SV346 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) @ ( sK74_SV489 @ SV346 @ SV24 @ SV64 @ SV136 @ SV98 @ SV302 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1553]) ).
thf(1614,plain,
! [SV98: a > c > c,SV136: a > a,SV346: a > c > c,SV544: a,SV64: a > a,SV24: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 @ SV544 )
= ( comp_a_c_c_a @ SV346 @ SV136 @ SV544 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) )
= ( SV346 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1554]) ).
thf(1615,plain,
! [SV98: a > c > c,SV136: a > a,SV346: a > c > c,SV545: c,SV490: a,SV64: a > a,SV24: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 @ SV490 @ SV545 )
= ( comp_a_c_c_a @ SV346 @ SV136 @ SV490 @ SV545 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 )
= SV346 )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1556]) ).
thf(1616,plain,
! [SV98: a > c > c,SV136: a > a,SV264: a > c > c,SV518: a,SV64: a > a,SV24: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ! [SV546: c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 @ SV518 @ SV546 )
= ( comp_a_c_c_a @ SV264 @ SV136 @ SV518 @ SV546 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) @ ( sK60_SV441 @ SV264 @ SV24 @ SV64 @ SV136 @ SV98 @ SV229 ) )
= ( SV264 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) @ ( sK60_SV441 @ SV264 @ SV24 @ SV64 @ SV136 @ SV98 @ SV229 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1558]) ).
thf(1617,plain,
! [SV98: a > c > c,SV136: a > a,SV264: a > c > c,SV518: a,SV64: a > a,SV24: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 @ SV518 )
= ( comp_a_c_c_a @ SV264 @ SV136 @ SV518 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) @ ( sK60_SV441 @ SV264 @ SV24 @ SV64 @ SV136 @ SV98 @ SV229 ) )
= ( SV264 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) @ ( sK60_SV441 @ SV264 @ SV24 @ SV64 @ SV136 @ SV98 @ SV229 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1558]) ).
thf(1618,plain,
! [SV98: a > c > c,SV136: a > a,SV264: a > c > c,SV547: c,SV492: a,SV64: a > a,SV24: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 @ SV492 @ SV547 )
= ( comp_a_c_c_a @ SV264 @ SV136 @ SV492 @ SV547 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) )
= ( SV264 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1559]) ).
thf(1619,plain,
! [SV99: a > a,SV137: b > a,SV303: a > c > c,SV548: b,SV65: b > a,SV25: a > a,SV265: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 @ SV548 )
= ( comp_a_c_c_b @ SV303 @ SV137 @ SV548 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV265 @ SV99 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) @ ( sK69_SV468 @ SV303 @ SV25 @ SV65 @ SV137 @ SV99 @ SV265 ) )
= ( SV303 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) @ ( sK69_SV468 @ SV303 @ SV25 @ SV65 @ SV137 @ SV99 @ SV265 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1561]) ).
thf(1620,plain,
! [SV99: a > a,SV137: b > a,SV303: a > c > c,SV521: b,SV65: b > a,SV25: a > a,SV265: a > c > c] :
( ( ( ! [SV549: c] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 @ SV521 @ SV549 )
= ( comp_a_c_c_b @ SV303 @ SV137 @ SV521 @ SV549 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV265 @ SV99 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) )
= ( SV303 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1563]) ).
thf(1621,plain,
! [SV99: a > a,SV137: b > a,SV303: a > c > c,SV521: b,SV65: b > a,SV25: a > a,SV265: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 @ SV521 )
= ( comp_a_c_c_b @ SV303 @ SV137 @ SV521 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV265 @ SV99 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) )
= ( SV303 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1563]) ).
thf(1622,plain,
! [SV99: a > a,SV137: b > a,SV266: a > c > c,SV523: b,SV65: b > a,SV25: a > a,SV230: a > c > c] :
( ( ( ! [SV550: c] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 @ SV523 @ SV550 )
= ( comp_a_c_c_b @ SV266 @ SV137 @ SV523 @ SV550 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV230 @ SV99 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) @ ( sK61_SV444 @ SV266 @ SV25 @ SV65 @ SV137 @ SV99 @ SV230 ) )
= ( SV266 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) @ ( sK61_SV444 @ SV266 @ SV25 @ SV65 @ SV137 @ SV99 @ SV230 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1565]) ).
thf(1623,plain,
! [SV99: a > a,SV137: b > a,SV266: a > c > c,SV523: b,SV65: b > a,SV25: a > a,SV230: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 @ SV523 )
= ( comp_a_c_c_b @ SV266 @ SV137 @ SV523 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV230 @ SV99 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) @ ( sK61_SV444 @ SV266 @ SV25 @ SV65 @ SV137 @ SV99 @ SV230 ) )
= ( SV266 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) @ ( sK61_SV444 @ SV266 @ SV25 @ SV65 @ SV137 @ SV99 @ SV230 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1565]) ).
thf(1624,plain,
! [SV99: a > a,SV137: b > a,SV266: a > c > c,SV551: c,SV497: b,SV65: b > a,SV25: a > a,SV230: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 @ SV497 @ SV551 )
= ( comp_a_c_c_b @ SV266 @ SV137 @ SV497 @ SV551 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV230 @ SV99 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) )
= ( SV266 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1566]) ).
thf(1625,plain,
! [SV138: a > a,SV387: a > a,SV100: a > c > c,SV552: a,SV347: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV347 ) @ SV552 )
= ( comp_a_c_c_a @ SV100 @ SV387 @ SV552 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV347 @ ( sK70_SV472 @ SV100 @ SV66 @ SV26 @ SV387 @ SV347 @ SV138 ) )
= ( SV387 @ ( sK70_SV472 @ SV100 @ SV66 @ SV26 @ SV387 @ SV347 @ SV138 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1568]) ).
thf(1626,plain,
! [SV138: a > a,SV387: a > a,SV100: a > c > c,SV526: a,SV347: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ! [SV553: c] :
( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV347 ) @ SV526 @ SV553 )
= ( comp_a_c_c_a @ SV100 @ SV387 @ SV526 @ SV553 ) ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV347 )
= SV387 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1570]) ).
thf(1627,plain,
! [SV138: a > a,SV387: a > a,SV100: a > c > c,SV526: a,SV347: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV347 ) @ SV526 )
= ( comp_a_c_c_a @ SV100 @ SV387 @ SV526 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV347 )
= SV387 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1570]) ).
thf(1628,plain,
! [SV138: a > a,SV348: a > a,SV100: a > c > c,SV527: a,SV304: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ! [SV554: c] :
( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV304 ) @ SV527 @ SV554 )
= ( comp_a_c_c_a @ SV100 @ SV348 @ SV527 @ SV554 ) ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV304 @ ( sK62_SV446 @ SV100 @ SV66 @ SV26 @ SV348 @ SV304 @ SV138 ) )
= ( SV348 @ ( sK62_SV446 @ SV100 @ SV66 @ SV26 @ SV348 @ SV304 @ SV138 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1571]) ).
thf(1629,plain,
! [SV138: a > a,SV348: a > a,SV100: a > c > c,SV527: a,SV304: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV304 ) @ SV527 )
= ( comp_a_c_c_a @ SV100 @ SV348 @ SV527 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV304 @ ( sK62_SV446 @ SV100 @ SV66 @ SV26 @ SV348 @ SV304 @ SV138 ) )
= ( SV348 @ ( sK62_SV446 @ SV100 @ SV66 @ SV26 @ SV348 @ SV304 @ SV138 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1571]) ).
thf(1630,plain,
! [SV138: a > a,SV348: a > a,SV100: a > c > c,SV555: c,SV501: a,SV304: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV304 ) @ SV501 @ SV555 )
= ( comp_a_c_c_a @ SV100 @ SV348 @ SV501 @ SV555 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV304 )
= SV348 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1572]) ).
thf(1631,plain,
! [SV50: a > a,SV476: a,SV453: a,SV90: a > c > c] :
( ( ( ! [SV556: c] :
( ( SV90 @ SV453 @ SV556 )
= ( SV90 @ SV476 @ SV556 ) ) )
= $true )
| ( ( ( SV50 @ SV453 )
= ( SV50 @ SV476 ) )
= $false )
| ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1575]) ).
thf(1632,plain,
! [SV50: a > a,SV476: a,SV453: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV453 )
= ( SV90 @ SV476 ) )
= $true )
| ( ( ( SV50 @ SV453 )
= ( SV50 @ SV476 ) )
= $false )
| ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1575]) ).
thf(1633,plain,
! [SV50: a > a,SV557: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV557 )
= ( comp_a_c_c_a @ ( sK63_SY428 @ SV50 @ SV90 ) @ SV50 @ SV557 ) )
= $true )
| ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1576]) ).
thf(1634,plain,
! [SV90: a > c > c,SV504: a,SV477: a,SV50: a > a] :
( ( ( ( SV50 @ SV477 )
= ( SV50 @ SV504 ) )
= $false )
| ( ( ( SV90 @ SV477 )
= ( SV90 @ SV504 ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1578]) ).
thf(1635,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( ! [SV558: a] :
( ( SV90 @ SV558 )
= ( comp_a_c_c_a @ ( sK71_SY428 @ SV50 @ SV90 ) @ SV50 @ SV558 ) ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1579]) ).
thf(1636,plain,
! [SV50: a > a,SV90: a > c > c] :
( ( ( SV90
= ( comp_a_c_c_a @ ( sK71_SY428 @ SV50 @ SV90 ) @ SV50 ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1579]) ).
thf(1637,plain,
! [SV50: a > a,SV478: a,SV454: a,SV90: a > c > c] :
( ( ( ! [SV559: c] :
( ( SV90 @ SV454 @ SV559 )
= ( SV90 @ SV478 @ SV559 ) ) )
= $true )
| ( ( ( SV50 @ SV454 )
= ( SV50 @ SV478 ) )
= $false )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1580]) ).
thf(1638,plain,
! [SV50: a > a,SV478: a,SV454: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV454 )
= ( SV90 @ SV478 ) )
= $true )
| ( ( ( SV50 @ SV454 )
= ( SV50 @ SV478 ) )
= $false )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1580]) ).
thf(1639,plain,
! [SV50: a > a,SV560: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV560 )
= ( comp_a_c_c_a @ ( sK64_SY428 @ SV50 @ SV90 ) @ SV50 @ SV560 ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1581]) ).
thf(1640,plain,
! [SV257: a > c > c,SV90: a > c > c,SV561: a,SV532: a,SV50: a > a] :
( ( ( ( ( SV50 @ SV532 )
!= ( SV50 @ SV561 ) )
| ( ( SV90 @ SV532 )
= ( SV90 @ SV561 ) ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1583]) ).
thf(1641,plain,
! [SV50: a > a,SV257: a > c > c,SV90: a > c > c] :
( ( ( ( SV90
!= ( comp_a_c_c_a @ ( sK80_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 ) ) )
= $false )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1584]) ).
thf(1642,plain,
! [SV257: a > c > c,SV90: a > c > c,SV533: a,SV505: a,SV50: a > a] :
( ( ( ( ( SV50 @ SV505 )
!= ( SV50 @ SV533 ) ) )
= $true )
| ( ( ( SV90 @ SV505 )
= ( SV90 @ SV533 ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1585]) ).
thf(1643,plain,
! [SV50: a > a,SV257: a > c > c,SV90: a > c > c] :
( ( ( SV90
= ( comp_a_c_c_a @ ( sK75_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1586]) ).
thf(1644,plain,
! [SV257: a > c > c,SV50: a > a,SV479: a,SV455: a,SV90: a > c > c] :
( ( ( ! [SV562: c] :
( ( SV90 @ SV455 @ SV562 )
= ( SV90 @ SV479 @ SV562 ) ) )
= $true )
| ( ( ( SV50 @ SV455 )
= ( SV50 @ SV479 ) )
= $false )
| ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1587]) ).
thf(1645,plain,
! [SV257: a > c > c,SV50: a > a,SV479: a,SV455: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV455 )
= ( SV90 @ SV479 ) )
= $true )
| ( ( ( SV50 @ SV455 )
= ( SV50 @ SV479 ) )
= $false )
| ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1587]) ).
thf(1646,plain,
! [SV50: a > a,SV257: a > c > c,SV563: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV563 )
= ( comp_a_c_c_a @ ( sK65_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 @ SV563 ) )
= $true )
| ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1588]) ).
thf(1647,plain,
! [SV92: a > c > c,SV506: a,SV297: a,SV52: a > c > c] :
( ( ( ( ( SV52 @ ( sK81_SY540 @ SV297 @ SV506 @ SV92 @ SV52 ) )
!= ( SV92 @ SV506 ) ) )
= $false )
| ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1590]) ).
thf(1648,plain,
! [SV297: a,SV52: a > c > c,SV92: a > c > c] :
( ( ( SV92
= ( comp_a_c_c_a @ SV52 @ ( sK76_SY431 @ SV297 @ SV52 @ SV92 ) ) )
= $true )
| ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1591]) ).
thf(1649,plain,
! [SV92: a > c > c,SV480: a,SV297: a,SV52: a > c > c] :
( ( ( ( SV52 @ ( sK77_SY538 @ SV297 @ SV480 @ SV92 @ SV52 ) )
= ( SV92 @ SV480 ) )
= $true )
| ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1592]) ).
thf(1650,plain,
! [SV297: a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ! [SV564: a] :
( ( SV92 @ SV564 )
= ( comp_a_c_c_a @ SV52 @ ( sK72_SY431 @ SV297 @ SV52 @ SV92 ) @ SV564 ) ) )
= $true )
| ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1593]) ).
thf(1651,plain,
! [SV297: a,SV52: a > c > c,SV92: a > c > c] :
( ( ( SV92
= ( comp_a_c_c_a @ SV52 @ ( sK72_SY431 @ SV297 @ SV52 @ SV92 ) ) )
= $true )
| ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1593]) ).
thf(1652,plain,
! [SV258: a > a,SV535: a,SV92: a > c > c,SV52: a > c > c] :
( ( ( ! [SY543: a] :
( ( SV52 @ SY543 )
!= ( SV92 @ SV535 ) ) )
= $false )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1594]) ).
thf(1653,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ( SV92
!= ( comp_a_c_c_a @ SV52 @ ( sK82_SY431 @ SV258 @ SV52 @ SV92 ) ) ) )
= $false )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1595]) ).
thf(1654,plain,
! [SV92: a > c > c,SV507: a,SV258: a > a,SV52: a > c > c] :
( ( ( ( ( SV52 @ ( sK83_SY541 @ SV258 @ SV507 @ SV92 @ SV52 ) )
!= ( SV92 @ SV507 ) ) )
= $false )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1596]) ).
thf(1655,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( SV92
= ( comp_a_c_c_a @ SV52 @ ( sK78_SY431 @ SV258 @ SV52 @ SV92 ) ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1597]) ).
thf(1656,plain,
! [SV92: a > c > c,SV456: a,SV258: a > a,SV52: a > c > c] :
( ( ( ! [SV565: c] :
( ( SV52 @ ( sK73_SY536 @ SV258 @ SV456 @ SV92 @ SV52 ) @ SV565 )
= ( SV92 @ SV456 @ SV565 ) ) )
= $true )
| ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1598]) ).
thf(1657,plain,
! [SV92: a > c > c,SV456: a,SV258: a > a,SV52: a > c > c] :
( ( ( ( SV52 @ ( sK73_SY536 @ SV258 @ SV456 @ SV92 @ SV52 ) )
= ( SV92 @ SV456 ) )
= $true )
| ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1598]) ).
thf(1658,plain,
! [SV258: a > a,SV52: a > c > c,SV566: a,SV92: a > c > c] :
( ( ( ( SV92 @ SV566 )
= ( comp_a_c_c_a @ SV52 @ ( sK66_SY431 @ SV258 @ SV52 @ SV92 ) @ SV566 ) )
= $true )
| ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1599]) ).
thf(1659,plain,
! [SV97: a > a,SV135: a > a,SV301: a > c > c,SV537: a,SV63: a > a,SV23: a > a,SV261: a > c > c] :
( ( ( ! [SV567: c] :
( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 @ SV537 @ SV567 )
= ( comp_a_c_c_a @ SV301 @ SV135 @ SV537 @ SV567 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV261 @ SV97 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) @ ( sK67_SV460 @ SV301 @ SV23 @ SV63 @ SV135 @ SV97 @ SV261 ) )
= ( SV301 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) @ ( sK67_SV460 @ SV301 @ SV23 @ SV63 @ SV135 @ SV97 @ SV261 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1601]) ).
thf(1660,plain,
! [SV97: a > a,SV135: a > a,SV301: a > c > c,SV537: a,SV63: a > a,SV23: a > a,SV261: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 @ SV537 )
= ( comp_a_c_c_a @ SV301 @ SV135 @ SV537 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV261 @ SV97 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) @ ( sK67_SV460 @ SV301 @ SV23 @ SV63 @ SV135 @ SV97 @ SV261 ) )
= ( SV301 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) @ ( sK67_SV460 @ SV301 @ SV23 @ SV63 @ SV135 @ SV97 @ SV261 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1601]) ).
thf(1661,plain,
! [SV97: a > a,SV135: a > a,SV301: a > c > c,SV568: c,SV510: a,SV63: a > a,SV23: a > a,SV261: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 @ SV510 @ SV568 )
= ( comp_a_c_c_a @ SV301 @ SV135 @ SV510 @ SV568 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV261 @ SV97 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) )
= ( SV301 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1602]) ).
thf(1662,plain,
! [SV97: a > a,SV135: a > a,SV262: a > c > c,SV569: c,SV512: a,SV63: a > a,SV23: a > a,SV228: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV228 @ SV23 ) @ SV63 @ SV512 @ SV569 )
= ( comp_a_c_c_a @ SV262 @ SV135 @ SV512 @ SV569 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV228 @ SV97 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) @ ( sK58_SV438 @ SV262 @ SV23 @ SV63 @ SV135 @ SV97 @ SV228 ) )
= ( SV262 @ ( sK50_SV383 @ SV135 @ SV63 @ SV23 @ SV262 @ SV97 @ SV228 ) @ ( sK58_SV438 @ SV262 @ SV23 @ SV63 @ SV135 @ SV97 @ SV228 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 )
= ( comp_a_a_a @ SV97 @ SV135 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1604]) ).
thf(1663,plain,
! [SV98: a > c > c,SV136: a > a,SV384: a > c > c,SV64: a > a,SV24: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ! [SV570: a] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 @ SV570 )
= ( comp_a_c_c_a @ SV384 @ SV136 @ SV570 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) @ ( sK79_SV514 @ SV384 @ SV24 @ SV64 @ SV136 @ SV98 @ SV345 ) )
= ( SV384 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) @ ( sK79_SV514 @ SV384 @ SV24 @ SV64 @ SV136 @ SV98 @ SV345 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1607]) ).
thf(1664,plain,
! [SV98: a > c > c,SV136: a > a,SV384: a > c > c,SV64: a > a,SV24: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 )
= ( comp_a_c_c_a @ SV384 @ SV136 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) @ ( sK79_SV514 @ SV384 @ SV24 @ SV64 @ SV136 @ SV98 @ SV345 ) )
= ( SV384 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) @ ( sK79_SV514 @ SV384 @ SV24 @ SV64 @ SV136 @ SV98 @ SV345 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1607]) ).
thf(1665,plain,
! [SV98: a > c > c,SV136: a > a,SV384: a > c > c,SV571: a,SV64: a > a,SV24: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 @ SV571 )
= ( comp_a_c_c_a @ SV384 @ SV136 @ SV571 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) )
= ( SV384 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1608]) ).
thf(1666,plain,
! [SV98: a > c > c,SV136: a > a,SV384: a > c > c,SV572: c,SV515: a,SV64: a > a,SV24: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 @ SV515 @ SV572 )
= ( comp_a_c_c_a @ SV384 @ SV136 @ SV515 @ SV572 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 )
= SV384 )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1610]) ).
thf(1667,plain,
! [SV98: a > c > c,SV136: a > a,SV346: a > c > c,SV573: a,SV64: a > a,SV24: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 @ SV573 )
= ( comp_a_c_c_a @ SV346 @ SV136 @ SV573 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) @ ( sK74_SV489 @ SV346 @ SV24 @ SV64 @ SV136 @ SV98 @ SV302 ) )
= ( SV346 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) @ ( sK74_SV489 @ SV346 @ SV24 @ SV64 @ SV136 @ SV98 @ SV302 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1612]) ).
thf(1668,plain,
! [SV98: a > c > c,SV136: a > a,SV346: a > c > c,SV544: a,SV64: a > a,SV24: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ! [SV574: c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 @ SV544 @ SV574 )
= ( comp_a_c_c_a @ SV346 @ SV136 @ SV544 @ SV574 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) )
= ( SV346 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1614]) ).
thf(1669,plain,
! [SV98: a > c > c,SV136: a > a,SV346: a > c > c,SV544: a,SV64: a > a,SV24: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 @ SV544 )
= ( comp_a_c_c_a @ SV346 @ SV136 @ SV544 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) )
= ( SV346 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1614]) ).
thf(1670,plain,
! [SV98: a > c > c,SV136: a > a,SV264: a > c > c,SV575: c,SV518: a,SV64: a > a,SV24: a > c > c,SV229: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV229 @ SV24 ) @ SV64 @ SV518 @ SV575 )
= ( comp_a_c_c_a @ SV264 @ SV136 @ SV518 @ SV575 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV229 @ SV98 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) @ ( sK60_SV441 @ SV264 @ SV24 @ SV64 @ SV136 @ SV98 @ SV229 ) )
= ( SV264 @ ( sK51_SV385 @ SV136 @ SV64 @ SV24 @ SV264 @ SV98 @ SV229 ) @ ( sK60_SV441 @ SV264 @ SV24 @ SV64 @ SV136 @ SV98 @ SV229 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 )
= ( comp_a_c_c_a @ SV98 @ SV136 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1616]) ).
thf(1671,plain,
! [SV99: a > a,SV137: b > a,SV303: a > c > c,SV548: b,SV65: b > a,SV25: a > a,SV265: a > c > c] :
( ( ( ! [SV576: c] :
( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 @ SV548 @ SV576 )
= ( comp_a_c_c_b @ SV303 @ SV137 @ SV548 @ SV576 ) ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV265 @ SV99 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) @ ( sK69_SV468 @ SV303 @ SV25 @ SV65 @ SV137 @ SV99 @ SV265 ) )
= ( SV303 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) @ ( sK69_SV468 @ SV303 @ SV25 @ SV65 @ SV137 @ SV99 @ SV265 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1619]) ).
thf(1672,plain,
! [SV99: a > a,SV137: b > a,SV303: a > c > c,SV548: b,SV65: b > a,SV25: a > a,SV265: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 @ SV548 )
= ( comp_a_c_c_b @ SV303 @ SV137 @ SV548 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV265 @ SV99 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) @ ( sK69_SV468 @ SV303 @ SV25 @ SV65 @ SV137 @ SV99 @ SV265 ) )
= ( SV303 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) @ ( sK69_SV468 @ SV303 @ SV25 @ SV65 @ SV137 @ SV99 @ SV265 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1619]) ).
thf(1673,plain,
! [SV99: a > a,SV137: b > a,SV303: a > c > c,SV577: c,SV521: b,SV65: b > a,SV25: a > a,SV265: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 @ SV521 @ SV577 )
= ( comp_a_c_c_b @ SV303 @ SV137 @ SV521 @ SV577 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV265 @ SV99 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) )
= ( SV303 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1620]) ).
thf(1674,plain,
! [SV99: a > a,SV137: b > a,SV266: a > c > c,SV578: c,SV523: b,SV65: b > a,SV25: a > a,SV230: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV230 @ SV25 ) @ SV65 @ SV523 @ SV578 )
= ( comp_a_c_c_b @ SV266 @ SV137 @ SV523 @ SV578 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV230 @ SV99 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) @ ( sK61_SV444 @ SV266 @ SV25 @ SV65 @ SV137 @ SV99 @ SV230 ) )
= ( SV266 @ ( sK52_SV386 @ SV137 @ SV65 @ SV25 @ SV266 @ SV99 @ SV230 ) @ ( sK61_SV444 @ SV266 @ SV25 @ SV65 @ SV137 @ SV99 @ SV230 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 )
= ( comp_a_a_b @ SV99 @ SV137 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1622]) ).
thf(1675,plain,
! [SV138: a > a,SV387: a > a,SV100: a > c > c,SV552: a,SV347: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ! [SV579: c] :
( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV347 ) @ SV552 @ SV579 )
= ( comp_a_c_c_a @ SV100 @ SV387 @ SV552 @ SV579 ) ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV347 @ ( sK70_SV472 @ SV100 @ SV66 @ SV26 @ SV387 @ SV347 @ SV138 ) )
= ( SV387 @ ( sK70_SV472 @ SV100 @ SV66 @ SV26 @ SV387 @ SV347 @ SV138 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1625]) ).
thf(1676,plain,
! [SV138: a > a,SV387: a > a,SV100: a > c > c,SV552: a,SV347: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV347 ) @ SV552 )
= ( comp_a_c_c_a @ SV100 @ SV387 @ SV552 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV347 @ ( sK70_SV472 @ SV100 @ SV66 @ SV26 @ SV387 @ SV347 @ SV138 ) )
= ( SV387 @ ( sK70_SV472 @ SV100 @ SV66 @ SV26 @ SV387 @ SV347 @ SV138 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1625]) ).
thf(1677,plain,
! [SV138: a > a,SV387: a > a,SV100: a > c > c,SV580: c,SV526: a,SV347: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV347 ) @ SV526 @ SV580 )
= ( comp_a_c_c_a @ SV100 @ SV387 @ SV526 @ SV580 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV347 )
= SV387 )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1626]) ).
thf(1678,plain,
! [SV138: a > a,SV348: a > a,SV100: a > c > c,SV581: c,SV527: a,SV304: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV304 ) @ SV527 @ SV581 )
= ( comp_a_c_c_a @ SV100 @ SV348 @ SV527 @ SV581 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV304 @ ( sK62_SV446 @ SV100 @ SV66 @ SV26 @ SV348 @ SV304 @ SV138 ) )
= ( SV348 @ ( sK62_SV446 @ SV100 @ SV66 @ SV26 @ SV348 @ SV304 @ SV138 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1628]) ).
thf(1679,plain,
! [SV50: a > a,SV476: a,SV582: c,SV453: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV453 @ SV582 )
= ( SV90 @ SV476 @ SV582 ) )
= $true )
| ( ( ( SV50 @ SV453 )
= ( SV50 @ SV476 ) )
= $false )
| ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1631]) ).
thf(1680,plain,
! [SV50: a > a,SV557: a,SV90: a > c > c] :
( ( ( ! [SV583: c] :
( ( SV90 @ SV557 @ SV583 )
= ( comp_a_c_c_a @ ( sK63_SY428 @ SV50 @ SV90 ) @ SV50 @ SV557 @ SV583 ) ) )
= $true )
| ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1633]) ).
thf(1681,plain,
! [SV50: a > a,SV557: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV557 )
= ( comp_a_c_c_a @ ( sK63_SY428 @ SV50 @ SV90 ) @ SV50 @ SV557 ) )
= $true )
| ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1633]) ).
thf(1682,plain,
! [SV50: a > a,SV504: a,SV477: a,SV90: a > c > c] :
( ( ( ! [SV584: c] :
( ( SV90 @ SV477 @ SV584 )
= ( SV90 @ SV504 @ SV584 ) ) )
= $true )
| ( ( ( SV50 @ SV477 )
= ( SV50 @ SV504 ) )
= $false )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1634]) ).
thf(1683,plain,
! [SV50: a > a,SV504: a,SV477: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV477 )
= ( SV90 @ SV504 ) )
= $true )
| ( ( ( SV50 @ SV477 )
= ( SV50 @ SV504 ) )
= $false )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1634]) ).
thf(1684,plain,
! [SV50: a > a,SV585: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV585 )
= ( comp_a_c_c_a @ ( sK71_SY428 @ SV50 @ SV90 ) @ SV50 @ SV585 ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1635]) ).
thf(1685,plain,
! [SV50: a > a,SV478: a,SV586: c,SV454: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV454 @ SV586 )
= ( SV90 @ SV478 @ SV586 ) )
= $true )
| ( ( ( SV50 @ SV454 )
= ( SV50 @ SV478 ) )
= $false )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1637]) ).
thf(1686,plain,
! [SV50: a > a,SV560: a,SV90: a > c > c] :
( ( ( ! [SV587: c] :
( ( SV90 @ SV560 @ SV587 )
= ( comp_a_c_c_a @ ( sK64_SY428 @ SV50 @ SV90 ) @ SV50 @ SV560 @ SV587 ) ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1639]) ).
thf(1687,plain,
! [SV50: a > a,SV560: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV560 )
= ( comp_a_c_c_a @ ( sK64_SY428 @ SV50 @ SV90 ) @ SV50 @ SV560 ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1639]) ).
thf(1688,plain,
! [SV257: a > c > c,SV90: a > c > c,SV561: a,SV532: a,SV50: a > a] :
( ( ( ( ( SV50 @ SV532 )
!= ( SV50 @ SV561 ) ) )
= $true )
| ( ( ( SV90 @ SV532 )
= ( SV90 @ SV561 ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1640]) ).
thf(1689,plain,
! [SV50: a > a,SV257: a > c > c,SV90: a > c > c] :
( ( ( SV90
= ( comp_a_c_c_a @ ( sK80_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1641]) ).
thf(1690,plain,
! [SV257: a > c > c,SV90: a > c > c,SV533: a,SV505: a,SV50: a > a] :
( ( ( ( SV50 @ SV505 )
= ( SV50 @ SV533 ) )
= $false )
| ( ( ( SV90 @ SV505 )
= ( SV90 @ SV533 ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1642]) ).
thf(1691,plain,
! [SV50: a > a,SV257: a > c > c,SV90: a > c > c] :
( ( ( ! [SV588: a] :
( ( SV90 @ SV588 )
= ( comp_a_c_c_a @ ( sK75_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 @ SV588 ) ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1643]) ).
thf(1692,plain,
! [SV50: a > a,SV257: a > c > c,SV90: a > c > c] :
( ( ( SV90
= ( comp_a_c_c_a @ ( sK75_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1643]) ).
thf(1693,plain,
! [SV257: a > c > c,SV50: a > a,SV479: a,SV589: c,SV455: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV455 @ SV589 )
= ( SV90 @ SV479 @ SV589 ) )
= $true )
| ( ( ( SV50 @ SV455 )
= ( SV50 @ SV479 ) )
= $false )
| ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1644]) ).
thf(1694,plain,
! [SV50: a > a,SV257: a > c > c,SV563: a,SV90: a > c > c] :
( ( ( ! [SV590: c] :
( ( SV90 @ SV563 @ SV590 )
= ( comp_a_c_c_a @ ( sK65_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 @ SV563 @ SV590 ) ) )
= $true )
| ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1646]) ).
thf(1695,plain,
! [SV50: a > a,SV257: a > c > c,SV563: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV563 )
= ( comp_a_c_c_a @ ( sK65_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 @ SV563 ) )
= $true )
| ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1646]) ).
thf(1696,plain,
! [SV92: a > c > c,SV506: a,SV297: a,SV52: a > c > c] :
( ( ( ( SV52 @ ( sK81_SY540 @ SV297 @ SV506 @ SV92 @ SV52 ) )
= ( SV92 @ SV506 ) )
= $true )
| ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1647]) ).
thf(1697,plain,
! [SV297: a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ! [SV591: a] :
( ( SV92 @ SV591 )
= ( comp_a_c_c_a @ SV52 @ ( sK76_SY431 @ SV297 @ SV52 @ SV92 ) @ SV591 ) ) )
= $true )
| ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1648]) ).
thf(1698,plain,
! [SV297: a,SV52: a > c > c,SV92: a > c > c] :
( ( ( SV92
= ( comp_a_c_c_a @ SV52 @ ( sK76_SY431 @ SV297 @ SV52 @ SV92 ) ) )
= $true )
| ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1648]) ).
thf(1699,plain,
! [SV92: a > c > c,SV480: a,SV297: a,SV52: a > c > c] :
( ( ( ! [SV592: c] :
( ( SV52 @ ( sK77_SY538 @ SV297 @ SV480 @ SV92 @ SV52 ) @ SV592 )
= ( SV92 @ SV480 @ SV592 ) ) )
= $true )
| ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1649]) ).
thf(1700,plain,
! [SV92: a > c > c,SV480: a,SV297: a,SV52: a > c > c] :
( ( ( ( SV52 @ ( sK77_SY538 @ SV297 @ SV480 @ SV92 @ SV52 ) )
= ( SV92 @ SV480 ) )
= $true )
| ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1649]) ).
thf(1701,plain,
! [SV297: a,SV52: a > c > c,SV593: a,SV92: a > c > c] :
( ( ( ( SV92 @ SV593 )
= ( comp_a_c_c_a @ SV52 @ ( sK72_SY431 @ SV297 @ SV52 @ SV92 ) @ SV593 ) )
= $true )
| ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1650]) ).
thf(1702,plain,
! [SV92: a > c > c,SV535: a,SV258: a > a,SV52: a > c > c] :
( ( ( ( ( SV52 @ ( sK84_SY543 @ SV258 @ SV535 @ SV92 @ SV52 ) )
!= ( SV92 @ SV535 ) ) )
= $false )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1652]) ).
thf(1703,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( SV92
= ( comp_a_c_c_a @ SV52 @ ( sK82_SY431 @ SV258 @ SV52 @ SV92 ) ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1653]) ).
thf(1704,plain,
! [SV92: a > c > c,SV507: a,SV258: a > a,SV52: a > c > c] :
( ( ( ( SV52 @ ( sK83_SY541 @ SV258 @ SV507 @ SV92 @ SV52 ) )
= ( SV92 @ SV507 ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1654]) ).
thf(1705,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ! [SV594: a] :
( ( SV92 @ SV594 )
= ( comp_a_c_c_a @ SV52 @ ( sK78_SY431 @ SV258 @ SV52 @ SV92 ) @ SV594 ) ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1655]) ).
thf(1706,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( SV92
= ( comp_a_c_c_a @ SV52 @ ( sK78_SY431 @ SV258 @ SV52 @ SV92 ) ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1655]) ).
thf(1707,plain,
! [SV595: c,SV92: a > c > c,SV456: a,SV258: a > a,SV52: a > c > c] :
( ( ( ( SV52 @ ( sK73_SY536 @ SV258 @ SV456 @ SV92 @ SV52 ) @ SV595 )
= ( SV92 @ SV456 @ SV595 ) )
= $true )
| ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1656]) ).
thf(1708,plain,
! [SV258: a > a,SV52: a > c > c,SV566: a,SV92: a > c > c] :
( ( ( ! [SV596: c] :
( ( SV92 @ SV566 @ SV596 )
= ( comp_a_c_c_a @ SV52 @ ( sK66_SY431 @ SV258 @ SV52 @ SV92 ) @ SV566 @ SV596 ) ) )
= $true )
| ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1658]) ).
thf(1709,plain,
! [SV258: a > a,SV52: a > c > c,SV566: a,SV92: a > c > c] :
( ( ( ( SV92 @ SV566 )
= ( comp_a_c_c_a @ SV52 @ ( sK66_SY431 @ SV258 @ SV52 @ SV92 ) @ SV566 ) )
= $true )
| ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1658]) ).
thf(1710,plain,
! [SV97: a > a,SV135: a > a,SV301: a > c > c,SV597: c,SV537: a,SV63: a > a,SV23: a > a,SV261: a > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_a_c_c_a @ SV261 @ SV23 ) @ SV63 @ SV537 @ SV597 )
= ( comp_a_c_c_a @ SV301 @ SV135 @ SV537 @ SV597 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV261 @ SV97 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) @ ( sK67_SV460 @ SV301 @ SV23 @ SV63 @ SV135 @ SV97 @ SV261 ) )
= ( SV301 @ ( sK56_SV415 @ SV135 @ SV63 @ SV23 @ SV301 @ SV97 @ SV261 ) @ ( sK67_SV460 @ SV301 @ SV23 @ SV63 @ SV135 @ SV97 @ SV261 ) ) )
= $false )
| ( ( ( comp_a_a_a @ SV23 @ SV63 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) )
= ( comp_a_a_a @ SV97 @ SV135 @ ( sK20_SV203 @ SV135 @ SV97 @ SV63 @ SV23 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1659]) ).
thf(1711,plain,
! [SV98: a > c > c,SV136: a > a,SV384: a > c > c,SV598: a,SV64: a > a,SV24: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 @ SV598 )
= ( comp_a_c_c_a @ SV384 @ SV136 @ SV598 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) @ ( sK79_SV514 @ SV384 @ SV24 @ SV64 @ SV136 @ SV98 @ SV345 ) )
= ( SV384 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) @ ( sK79_SV514 @ SV384 @ SV24 @ SV64 @ SV136 @ SV98 @ SV345 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1663]) ).
thf(1712,plain,
! [SV98: a > c > c,SV136: a > a,SV384: a > c > c,SV571: a,SV64: a > a,SV24: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ! [SV599: c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 @ SV571 @ SV599 )
= ( comp_a_c_c_a @ SV384 @ SV136 @ SV571 @ SV599 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) )
= ( SV384 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1665]) ).
thf(1713,plain,
! [SV98: a > c > c,SV136: a > a,SV384: a > c > c,SV571: a,SV64: a > a,SV24: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 @ SV571 )
= ( comp_a_c_c_a @ SV384 @ SV136 @ SV571 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) )
= ( SV384 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1665]) ).
thf(1714,plain,
! [SV98: a > c > c,SV136: a > a,SV346: a > c > c,SV573: a,SV64: a > a,SV24: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ! [SV600: c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 @ SV573 @ SV600 )
= ( comp_a_c_c_a @ SV346 @ SV136 @ SV573 @ SV600 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) @ ( sK74_SV489 @ SV346 @ SV24 @ SV64 @ SV136 @ SV98 @ SV302 ) )
= ( SV346 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) @ ( sK74_SV489 @ SV346 @ SV24 @ SV64 @ SV136 @ SV98 @ SV302 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1667]) ).
thf(1715,plain,
! [SV98: a > c > c,SV136: a > a,SV346: a > c > c,SV573: a,SV64: a > a,SV24: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 @ SV573 )
= ( comp_a_c_c_a @ SV346 @ SV136 @ SV573 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) @ ( sK74_SV489 @ SV346 @ SV24 @ SV64 @ SV136 @ SV98 @ SV302 ) )
= ( SV346 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) @ ( sK74_SV489 @ SV346 @ SV24 @ SV64 @ SV136 @ SV98 @ SV302 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1667]) ).
thf(1716,plain,
! [SV98: a > c > c,SV136: a > a,SV346: a > c > c,SV601: c,SV544: a,SV64: a > a,SV24: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 @ SV544 @ SV601 )
= ( comp_a_c_c_a @ SV346 @ SV136 @ SV544 @ SV601 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) )
= ( SV346 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1668]) ).
thf(1717,plain,
! [SV99: a > a,SV137: b > a,SV303: a > c > c,SV602: c,SV548: b,SV65: b > a,SV25: a > a,SV265: a > c > c] :
( ( ( ( comp_a_c_c_b @ ( comp_a_c_c_a @ SV265 @ SV25 ) @ SV65 @ SV548 @ SV602 )
= ( comp_a_c_c_b @ SV303 @ SV137 @ SV548 @ SV602 ) )
= $true )
| ( ( ( comp_a_c_c_a @ SV265 @ SV99 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) @ ( sK69_SV468 @ SV303 @ SV25 @ SV65 @ SV137 @ SV99 @ SV265 ) )
= ( SV303 @ ( sK57_SV418 @ SV137 @ SV65 @ SV25 @ SV303 @ SV99 @ SV265 ) @ ( sK69_SV468 @ SV303 @ SV25 @ SV65 @ SV137 @ SV99 @ SV265 ) ) )
= $false )
| ( ( ( comp_a_a_b @ SV25 @ SV65 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) )
= ( comp_a_a_b @ SV99 @ SV137 @ ( sK22_SV205 @ SV137 @ SV99 @ SV65 @ SV25 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1671]) ).
thf(1718,plain,
! [SV138: a > a,SV387: a > a,SV100: a > c > c,SV603: c,SV552: a,SV347: a > a,SV66: a > a,SV26: a > c > c] :
( ( ( ( comp_a_c_c_a @ SV26 @ ( comp_a_a_a @ SV66 @ SV347 ) @ SV552 @ SV603 )
= ( comp_a_c_c_a @ SV100 @ SV387 @ SV552 @ SV603 ) )
= $true )
| ( ( ( comp_a_a_a @ SV138 @ SV347 @ ( sK70_SV472 @ SV100 @ SV66 @ SV26 @ SV387 @ SV347 @ SV138 ) )
= ( SV387 @ ( sK70_SV472 @ SV100 @ SV66 @ SV26 @ SV387 @ SV347 @ SV138 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV26 @ SV66 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) )
= ( comp_a_c_c_a @ SV100 @ SV138 @ ( sK23_SV206 @ SV138 @ SV100 @ SV66 @ SV26 ) @ ( sK40_SV267 @ SV100 @ SV138 @ SV66 @ SV26 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1675]) ).
thf(1719,plain,
! [SV50: a > a,SV604: c,SV557: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV557 @ SV604 )
= ( comp_a_c_c_a @ ( sK63_SY428 @ SV50 @ SV90 ) @ SV50 @ SV557 @ SV604 ) )
= $true )
| ( ( ( SV50 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV50 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1680]) ).
thf(1720,plain,
! [SV50: a > a,SV504: a,SV605: c,SV477: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV477 @ SV605 )
= ( SV90 @ SV504 @ SV605 ) )
= $true )
| ( ( ( SV50 @ SV477 )
= ( SV50 @ SV504 ) )
= $false )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1682]) ).
thf(1721,plain,
! [SV50: a > a,SV585: a,SV90: a > c > c] :
( ( ( ! [SV606: c] :
( ( SV90 @ SV585 @ SV606 )
= ( comp_a_c_c_a @ ( sK71_SY428 @ SV50 @ SV90 ) @ SV50 @ SV585 @ SV606 ) ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1684]) ).
thf(1722,plain,
! [SV50: a > a,SV585: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV585 )
= ( comp_a_c_c_a @ ( sK71_SY428 @ SV50 @ SV90 ) @ SV50 @ SV585 ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1684]) ).
thf(1723,plain,
! [SV50: a > a,SV607: c,SV560: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV560 @ SV607 )
= ( comp_a_c_c_a @ ( sK64_SY428 @ SV50 @ SV90 ) @ SV50 @ SV560 @ SV607 ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1686]) ).
thf(1724,plain,
! [SV257: a > c > c,SV90: a > c > c,SV561: a,SV532: a,SV50: a > a] :
( ( ( ( SV50 @ SV532 )
= ( SV50 @ SV561 ) )
= $false )
| ( ( ( SV90 @ SV532 )
= ( SV90 @ SV561 ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1688]) ).
thf(1725,plain,
! [SV50: a > a,SV257: a > c > c,SV90: a > c > c] :
( ( ( ! [SV608: a] :
( ( SV90 @ SV608 )
= ( comp_a_c_c_a @ ( sK80_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 @ SV608 ) ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1689]) ).
thf(1726,plain,
! [SV50: a > a,SV257: a > c > c,SV90: a > c > c] :
( ( ( SV90
= ( comp_a_c_c_a @ ( sK80_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1689]) ).
thf(1727,plain,
! [SV257: a > c > c,SV50: a > a,SV533: a,SV505: a,SV90: a > c > c] :
( ( ( ! [SV609: c] :
( ( SV90 @ SV505 @ SV609 )
= ( SV90 @ SV533 @ SV609 ) ) )
= $true )
| ( ( ( SV50 @ SV505 )
= ( SV50 @ SV533 ) )
= $false )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1690]) ).
thf(1728,plain,
! [SV257: a > c > c,SV50: a > a,SV533: a,SV505: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV505 )
= ( SV90 @ SV533 ) )
= $true )
| ( ( ( SV50 @ SV505 )
= ( SV50 @ SV533 ) )
= $false )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1690]) ).
thf(1729,plain,
! [SV50: a > a,SV257: a > c > c,SV610: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV610 )
= ( comp_a_c_c_a @ ( sK75_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 @ SV610 ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1691]) ).
thf(1730,plain,
! [SV50: a > a,SV257: a > c > c,SV611: c,SV563: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV563 @ SV611 )
= ( comp_a_c_c_a @ ( sK65_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 @ SV563 @ SV611 ) )
= $true )
| ( ( SV90
= ( comp_a_c_c_a @ SV257 @ SV50 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1694]) ).
thf(1731,plain,
! [SV92: a > c > c,SV506: a,SV297: a,SV52: a > c > c] :
( ( ( ! [SV612: c] :
( ( SV52 @ ( sK81_SY540 @ SV297 @ SV506 @ SV92 @ SV52 ) @ SV612 )
= ( SV92 @ SV506 @ SV612 ) ) )
= $true )
| ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1696]) ).
thf(1732,plain,
! [SV92: a > c > c,SV506: a,SV297: a,SV52: a > c > c] :
( ( ( ( SV52 @ ( sK81_SY540 @ SV297 @ SV506 @ SV92 @ SV52 ) )
= ( SV92 @ SV506 ) )
= $true )
| ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1696]) ).
thf(1733,plain,
! [SV297: a,SV52: a > c > c,SV613: a,SV92: a > c > c] :
( ( ( ( SV92 @ SV613 )
= ( comp_a_c_c_a @ SV52 @ ( sK76_SY431 @ SV297 @ SV52 @ SV92 ) @ SV613 ) )
= $true )
| ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1697]) ).
thf(1734,plain,
! [SV614: c,SV92: a > c > c,SV480: a,SV297: a,SV52: a > c > c] :
( ( ( ( SV52 @ ( sK77_SY538 @ SV297 @ SV480 @ SV92 @ SV52 ) @ SV614 )
= ( SV92 @ SV480 @ SV614 ) )
= $true )
| ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1699]) ).
thf(1735,plain,
! [SV297: a,SV52: a > c > c,SV593: a,SV92: a > c > c] :
( ( ( ! [SV615: c] :
( ( SV92 @ SV593 @ SV615 )
= ( comp_a_c_c_a @ SV52 @ ( sK72_SY431 @ SV297 @ SV52 @ SV92 ) @ SV593 @ SV615 ) ) )
= $true )
| ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1701]) ).
thf(1736,plain,
! [SV297: a,SV52: a > c > c,SV593: a,SV92: a > c > c] :
( ( ( ( SV92 @ SV593 )
= ( comp_a_c_c_a @ SV52 @ ( sK72_SY431 @ SV297 @ SV52 @ SV92 ) @ SV593 ) )
= $true )
| ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1701]) ).
thf(1737,plain,
! [SV92: a > c > c,SV535: a,SV258: a > a,SV52: a > c > c] :
( ( ( ( SV52 @ ( sK84_SY543 @ SV258 @ SV535 @ SV92 @ SV52 ) )
= ( SV92 @ SV535 ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1702]) ).
thf(1738,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( ! [SV616: a] :
( ( SV92 @ SV616 )
= ( comp_a_c_c_a @ SV52 @ ( sK82_SY431 @ SV258 @ SV52 @ SV92 ) @ SV616 ) ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1703]) ).
thf(1739,plain,
! [SV258: a > a,SV52: a > c > c,SV92: a > c > c] :
( ( ( SV92
= ( comp_a_c_c_a @ SV52 @ ( sK82_SY431 @ SV258 @ SV52 @ SV92 ) ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1703]) ).
thf(1740,plain,
! [SV92: a > c > c,SV507: a,SV258: a > a,SV52: a > c > c] :
( ( ( ! [SV617: c] :
( ( SV52 @ ( sK83_SY541 @ SV258 @ SV507 @ SV92 @ SV52 ) @ SV617 )
= ( SV92 @ SV507 @ SV617 ) ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1704]) ).
thf(1741,plain,
! [SV92: a > c > c,SV507: a,SV258: a > a,SV52: a > c > c] :
( ( ( ( SV52 @ ( sK83_SY541 @ SV258 @ SV507 @ SV92 @ SV52 ) )
= ( SV92 @ SV507 ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1704]) ).
thf(1742,plain,
! [SV258: a > a,SV52: a > c > c,SV618: a,SV92: a > c > c] :
( ( ( ( SV92 @ SV618 )
= ( comp_a_c_c_a @ SV52 @ ( sK78_SY431 @ SV258 @ SV52 @ SV92 ) @ SV618 ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1705]) ).
thf(1743,plain,
! [SV258: a > a,SV52: a > c > c,SV619: c,SV566: a,SV92: a > c > c] :
( ( ( ( SV92 @ SV566 @ SV619 )
= ( comp_a_c_c_a @ SV52 @ ( sK66_SY431 @ SV258 @ SV52 @ SV92 ) @ SV566 @ SV619 ) )
= $true )
| ( ( SV92
= ( comp_a_c_c_a @ SV52 @ SV258 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1708]) ).
thf(1744,plain,
! [SV98: a > c > c,SV136: a > a,SV384: a > c > c,SV598: a,SV64: a > a,SV24: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ! [SV620: c] :
( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 @ SV598 @ SV620 )
= ( comp_a_c_c_a @ SV384 @ SV136 @ SV598 @ SV620 ) ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) @ ( sK79_SV514 @ SV384 @ SV24 @ SV64 @ SV136 @ SV98 @ SV345 ) )
= ( SV384 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) @ ( sK79_SV514 @ SV384 @ SV24 @ SV64 @ SV136 @ SV98 @ SV345 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1711]) ).
thf(1745,plain,
! [SV98: a > c > c,SV136: a > a,SV384: a > c > c,SV598: a,SV64: a > a,SV24: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 @ SV598 )
= ( comp_a_c_c_a @ SV384 @ SV136 @ SV598 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) @ ( sK79_SV514 @ SV384 @ SV24 @ SV64 @ SV136 @ SV98 @ SV345 ) )
= ( SV384 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) @ ( sK79_SV514 @ SV384 @ SV24 @ SV64 @ SV136 @ SV98 @ SV345 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1711]) ).
thf(1746,plain,
! [SV98: a > c > c,SV136: a > a,SV384: a > c > c,SV621: c,SV571: a,SV64: a > a,SV24: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 @ SV571 @ SV621 )
= ( comp_a_c_c_a @ SV384 @ SV136 @ SV571 @ SV621 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) )
= ( SV384 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1712]) ).
thf(1747,plain,
! [SV98: a > c > c,SV136: a > a,SV346: a > c > c,SV622: c,SV573: a,SV64: a > a,SV24: a > c > c,SV302: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV302 @ SV24 ) @ SV64 @ SV573 @ SV622 )
= ( comp_a_c_c_a @ SV346 @ SV136 @ SV573 @ SV622 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV302 @ SV98 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) @ ( sK74_SV489 @ SV346 @ SV24 @ SV64 @ SV136 @ SV98 @ SV302 ) )
= ( SV346 @ ( sK59_SV440 @ SV136 @ SV64 @ SV24 @ SV346 @ SV98 @ SV302 ) @ ( sK74_SV489 @ SV346 @ SV24 @ SV64 @ SV136 @ SV98 @ SV302 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1714]) ).
thf(1748,plain,
! [SV50: a > a,SV623: c,SV585: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV585 @ SV623 )
= ( comp_a_c_c_a @ ( sK71_SY428 @ SV50 @ SV90 ) @ SV50 @ SV585 @ SV623 ) )
= $true )
| ( ( ( SV90 @ ( sK17_SY426 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) )
= ( SV90 @ ( sK28_SY517 @ SV90 @ SV50 ) @ ( sK46_SV339 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1721]) ).
thf(1749,plain,
! [SV257: a > c > c,SV50: a > a,SV561: a,SV532: a,SV90: a > c > c] :
( ( ( ! [SV624: c] :
( ( SV90 @ SV532 @ SV624 )
= ( SV90 @ SV561 @ SV624 ) ) )
= $true )
| ( ( ( SV50 @ SV532 )
= ( SV50 @ SV561 ) )
= $false )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1724]) ).
thf(1750,plain,
! [SV257: a > c > c,SV50: a > a,SV561: a,SV532: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV532 )
= ( SV90 @ SV561 ) )
= $true )
| ( ( ( SV50 @ SV532 )
= ( SV50 @ SV561 ) )
= $false )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1724]) ).
thf(1751,plain,
! [SV50: a > a,SV257: a > c > c,SV625: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV625 )
= ( comp_a_c_c_a @ ( sK80_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 @ SV625 ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1725]) ).
thf(1752,plain,
! [SV257: a > c > c,SV50: a > a,SV533: a,SV626: c,SV505: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV505 @ SV626 )
= ( SV90 @ SV533 @ SV626 ) )
= $true )
| ( ( ( SV50 @ SV505 )
= ( SV50 @ SV533 ) )
= $false )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1727]) ).
thf(1753,plain,
! [SV50: a > a,SV257: a > c > c,SV610: a,SV90: a > c > c] :
( ( ( ! [SV627: c] :
( ( SV90 @ SV610 @ SV627 )
= ( comp_a_c_c_a @ ( sK75_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 @ SV610 @ SV627 ) ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1729]) ).
thf(1754,plain,
! [SV50: a > a,SV257: a > c > c,SV610: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV610 )
= ( comp_a_c_c_a @ ( sK75_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 @ SV610 ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1729]) ).
thf(1755,plain,
! [SV628: c,SV92: a > c > c,SV506: a,SV297: a,SV52: a > c > c] :
( ( ( ( SV52 @ ( sK81_SY540 @ SV297 @ SV506 @ SV92 @ SV52 ) @ SV628 )
= ( SV92 @ SV506 @ SV628 ) )
= $true )
| ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1731]) ).
thf(1756,plain,
! [SV297: a,SV52: a > c > c,SV613: a,SV92: a > c > c] :
( ( ( ! [SV629: c] :
( ( SV92 @ SV613 @ SV629 )
= ( comp_a_c_c_a @ SV52 @ ( sK76_SY431 @ SV297 @ SV52 @ SV92 ) @ SV613 @ SV629 ) ) )
= $true )
| ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1733]) ).
thf(1757,plain,
! [SV297: a,SV52: a > c > c,SV613: a,SV92: a > c > c] :
( ( ( ( SV92 @ SV613 )
= ( comp_a_c_c_a @ SV52 @ ( sK76_SY431 @ SV297 @ SV52 @ SV92 ) @ SV613 ) )
= $true )
| ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1733]) ).
thf(1758,plain,
! [SV297: a,SV52: a > c > c,SV630: c,SV593: a,SV92: a > c > c] :
( ( ( ( SV92 @ SV593 @ SV630 )
= ( comp_a_c_c_a @ SV52 @ ( sK72_SY431 @ SV297 @ SV52 @ SV92 ) @ SV593 @ SV630 ) )
= $true )
| ( ( ( SV52 @ SV297 )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1735]) ).
thf(1759,plain,
! [SV92: a > c > c,SV535: a,SV258: a > a,SV52: a > c > c] :
( ( ( ! [SV631: c] :
( ( SV52 @ ( sK84_SY543 @ SV258 @ SV535 @ SV92 @ SV52 ) @ SV631 )
= ( SV92 @ SV535 @ SV631 ) ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1737]) ).
thf(1760,plain,
! [SV92: a > c > c,SV535: a,SV258: a > a,SV52: a > c > c] :
( ( ( ( SV52 @ ( sK84_SY543 @ SV258 @ SV535 @ SV92 @ SV52 ) )
= ( SV92 @ SV535 ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1737]) ).
thf(1761,plain,
! [SV258: a > a,SV52: a > c > c,SV632: a,SV92: a > c > c] :
( ( ( ( SV92 @ SV632 )
= ( comp_a_c_c_a @ SV52 @ ( sK82_SY431 @ SV258 @ SV52 @ SV92 ) @ SV632 ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1738]) ).
thf(1762,plain,
! [SV633: c,SV92: a > c > c,SV507: a,SV258: a > a,SV52: a > c > c] :
( ( ( ( SV52 @ ( sK83_SY541 @ SV258 @ SV507 @ SV92 @ SV52 ) @ SV633 )
= ( SV92 @ SV507 @ SV633 ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1740]) ).
thf(1763,plain,
! [SV258: a > a,SV52: a > c > c,SV618: a,SV92: a > c > c] :
( ( ( ! [SV634: c] :
( ( SV92 @ SV618 @ SV634 )
= ( comp_a_c_c_a @ SV52 @ ( sK78_SY431 @ SV258 @ SV52 @ SV92 ) @ SV618 @ SV634 ) ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1742]) ).
thf(1764,plain,
! [SV258: a > a,SV52: a > c > c,SV618: a,SV92: a > c > c] :
( ( ( ( SV92 @ SV618 )
= ( comp_a_c_c_a @ SV52 @ ( sK78_SY431 @ SV258 @ SV52 @ SV92 ) @ SV618 ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1742]) ).
thf(1765,plain,
! [SV98: a > c > c,SV136: a > a,SV384: a > c > c,SV635: c,SV598: a,SV64: a > a,SV24: a > c > c,SV345: ( c > c ) > c > c] :
( ( ( ( comp_a_c_c_a @ ( comp_c_c_c_c_a @ SV345 @ SV24 ) @ SV64 @ SV598 @ SV635 )
= ( comp_a_c_c_a @ SV384 @ SV136 @ SV598 @ SV635 ) )
= $true )
| ( ( ( comp_c_c_c_c_a @ SV345 @ SV98 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) @ ( sK79_SV514 @ SV384 @ SV24 @ SV64 @ SV136 @ SV98 @ SV345 ) )
= ( SV384 @ ( sK68_SV464 @ SV136 @ SV64 @ SV24 @ SV384 @ SV98 @ SV345 ) @ ( sK79_SV514 @ SV384 @ SV24 @ SV64 @ SV136 @ SV98 @ SV345 ) ) )
= $false )
| ( ( ( comp_a_c_c_a @ SV24 @ SV64 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) )
= ( comp_a_c_c_a @ SV98 @ SV136 @ ( sK21_SV204 @ SV136 @ SV98 @ SV64 @ SV24 ) @ ( sK39_SV263 @ SV98 @ SV136 @ SV64 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1744]) ).
thf(1766,plain,
! [SV257: a > c > c,SV50: a > a,SV561: a,SV636: c,SV532: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV532 @ SV636 )
= ( SV90 @ SV561 @ SV636 ) )
= $true )
| ( ( ( SV50 @ SV532 )
= ( SV50 @ SV561 ) )
= $false )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1749]) ).
thf(1767,plain,
! [SV50: a > a,SV257: a > c > c,SV625: a,SV90: a > c > c] :
( ( ( ! [SV637: c] :
( ( SV90 @ SV625 @ SV637 )
= ( comp_a_c_c_a @ ( sK80_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 @ SV625 @ SV637 ) ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1751]) ).
thf(1768,plain,
! [SV50: a > a,SV257: a > c > c,SV625: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV625 )
= ( comp_a_c_c_a @ ( sK80_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 @ SV625 ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1751]) ).
thf(1769,plain,
! [SV50: a > a,SV257: a > c > c,SV638: c,SV610: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV610 @ SV638 )
= ( comp_a_c_c_a @ ( sK75_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 @ SV610 @ SV638 ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1753]) ).
thf(1770,plain,
! [SV297: a,SV52: a > c > c,SV639: c,SV613: a,SV92: a > c > c] :
( ( ( ( SV92 @ SV613 @ SV639 )
= ( comp_a_c_c_a @ SV52 @ ( sK76_SY431 @ SV297 @ SV52 @ SV92 ) @ SV613 @ SV639 ) )
= $true )
| ( ( ( SV52 @ SV297 @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) )
= ( SV92 @ ( sK18_SY429 @ SV92 @ SV52 ) @ ( sK49_SV379 @ SV92 @ SV297 @ SV52 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1756]) ).
thf(1771,plain,
! [SV640: c,SV92: a > c > c,SV535: a,SV258: a > a,SV52: a > c > c] :
( ( ( ( SV52 @ ( sK84_SY543 @ SV258 @ SV535 @ SV92 @ SV52 ) @ SV640 )
= ( SV92 @ SV535 @ SV640 ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1759]) ).
thf(1772,plain,
! [SV258: a > a,SV52: a > c > c,SV632: a,SV92: a > c > c] :
( ( ( ! [SV641: c] :
( ( SV92 @ SV632 @ SV641 )
= ( comp_a_c_c_a @ SV52 @ ( sK82_SY431 @ SV258 @ SV52 @ SV92 ) @ SV632 @ SV641 ) ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1761]) ).
thf(1773,plain,
! [SV258: a > a,SV52: a > c > c,SV632: a,SV92: a > c > c] :
( ( ( ( SV92 @ SV632 )
= ( comp_a_c_c_a @ SV52 @ ( sK82_SY431 @ SV258 @ SV52 @ SV92 ) @ SV632 ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1761]) ).
thf(1774,plain,
! [SV258: a > a,SV52: a > c > c,SV642: c,SV618: a,SV92: a > c > c] :
( ( ( ( SV92 @ SV618 @ SV642 )
= ( comp_a_c_c_a @ SV52 @ ( sK78_SY431 @ SV258 @ SV52 @ SV92 ) @ SV618 @ SV642 ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1763]) ).
thf(1775,plain,
! [SV50: a > a,SV257: a > c > c,SV643: c,SV625: a,SV90: a > c > c] :
( ( ( ( SV90 @ SV625 @ SV643 )
= ( comp_a_c_c_a @ ( sK80_SY428 @ SV257 @ SV50 @ SV90 ) @ SV50 @ SV625 @ SV643 ) )
= $true )
| ( ( ( SV90 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) )
= ( comp_a_c_c_a @ SV257 @ SV50 @ ( sK47_SV340 @ SV50 @ SV257 @ SV90 ) @ ( sK54_SV409 @ SV257 @ SV50 @ SV90 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1767]) ).
thf(1776,plain,
! [SV258: a > a,SV52: a > c > c,SV644: c,SV632: a,SV92: a > c > c] :
( ( ( ( SV92 @ SV632 @ SV644 )
= ( comp_a_c_c_a @ SV52 @ ( sK82_SY431 @ SV258 @ SV52 @ SV92 ) @ SV632 @ SV644 ) )
= $true )
| ( ( ( SV92 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) )
= ( comp_a_c_c_a @ SV52 @ SV258 @ ( sK48_SV341 @ SV258 @ SV52 @ SV92 ) @ ( sK55_SV410 @ SV52 @ SV258 @ SV92 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1772]) ).
thf(1777,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[460,1776,1775,1774,1773,1771,1770,1769,1768,1766,1765,1764,1762,1760,1758,1757,1755,1754,1752,1750,1748,1747,1746,1745,1743,1741,1739,1736,1734,1732,1730,1728,1726,1723,1722,1720,1719,1718,1717,1716,1715,1713,1710,1709,1707,1706,1700,1698,1695,1693,1692,1687,1685,1683,1681,1679,1678,1677,1676,1674,1673,1672,1670,1669,1666,1664,1662,1661,1660,1657,1651,1645,1638,1636,1632,1630,1629,1627,1624,1623,1621,1618,1617,1615,1613,1611,1609,1606,1605,1603,1600,1589,1582,1577,1574,1573,1569,1567,1564,1562,1560,1557,1555,1549,1546,1544,1542,1531,1530,1517,1516,1513,1511,1508,1506,1504,1502,1499,1497,1492,1489,1487,1485,1483,1480,1479,1453,1450,1445,1443,1437,1435,1432,1427,1425,1419,1418,1394,1393,1392,1391,1389,1381,1369,1366,1365,1353,1342,1341,1340,1339,1338,1337,1335,1334,1332,1331,1329,1328,1326,1321,1316,1311,1306,1301,1300,1291,1290,1280,1279,1278,1276,1275,1273,1272,1270,1269,1267,1266,1265,1262,1259,1256,1253,1236,1235,1233,1230,1216,1215,1213,1210,1207,1204,1201,1200,1198,1197,1195,1194,1193,1191,1189,1187,1185,1183,1181,1179,1177,1176,1163,1160,1154,1153,1142,1141,1138,1137,1136,1133,1130,1127,1124,1121,1118,1117,1115,1114,1112,1110,1107,1105,1102,1100,1097,1095,1092,1066,1062,1058,1056,1054,1050,1046,1042,1038,1035,1032,1029,1013,998,994,980,979,970,966,958,954,950,946,942,927,926,914,909,907,905,904,889,888,867,865,863,846,844,832,830,810,809,808,804,802,800,796,791,789,765,764,762,760,759,756,754,738,736,726,724,712,708,707,701,698,697,691,689,687,685,680,678,655,652,651,649,639,633,576,573,572,567,565,542,538,536,526]) ).
thf(1778,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1777]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ITP128^1 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 2 16:09:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.42/0.60 ..........
% 1.04/1.22
% 1.04/1.22 No.of.Axioms: 363
% 1.04/1.22
% 1.04/1.22 Length.of.Defs: 0
% 1.04/1.22
% 1.04/1.22 Contains.Choice.Funs: false
% 1.20/1.38 ..................
% 1.20/1.45 (rf:2,axioms:53,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:365,loop_count:0,foatp_calls:0,translation:fof_full)......................................................................
% 2.06/2.23
% 2.06/2.23 ********************************
% 2.06/2.23 * All subproblems solved! *
% 2.06/2.23 ********************************
% 2.06/2.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:53,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1777,loop_count:0,foatp_calls:1,translation:fof_full)
% 2.80/2.96
% 2.80/2.96 %**** Beginning of derivation protocol ****
% 2.80/2.96 % SZS output start CNFRefutation
% See solution above
% 2.80/2.97
% 2.80/2.97 %**** End of derivation protocol ****
% 2.80/2.97 %**** no. of clauses in derivation: 1468 ****
% 2.80/2.97 %**** clause counter: 1777 ****
% 2.80/2.97
% 2.80/2.97 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:53,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1777,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------