%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWW473^3 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 11:01:39 AM UTC 2026
% Result : Theorem 20.07s 4.20s
% Output : CNFRefutation 20.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 72
% Syntax : Number of formulae : 2088 ( 470 unt; 0 typ; 0 def)
% Number of atoms : 20289 (7139 equ; 0 cnn)
% Maximal formula atoms : 6 ( 9 avg)
% Number of connectives : 24664 (3346 ~;5241 |; 18 &;15819 @)
% ( 42 <=>; 198 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 3001 (3001 >; 0 *; 0 +; 0 <<)
% Number of symbols : 196 ( 193 usr; 11 con; 0-4 aty)
% Number of variables : 5365 ( 30 ^;5332 !; 3 ?;5365 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_com,type,
com: $tType ).
thf(tp_int,type,
int: $tType ).
thf(tp_nat,type,
nat: $tType ).
thf(tp_option_com,type,
option_com: $tType ).
thf(tp_pname,type,
pname: $tType ).
thf(tp_x_a,type,
x_a: $tType ).
thf(tp_abs_abs_int,type,
abs_abs_int: int > int ).
thf(tp_bit1,type,
bit1: int > int ).
thf(tp_body,type,
body: pname > option_com ).
thf(tp_bot_bot_a_o,type,
bot_bot_a_o: x_a > $o ).
thf(tp_bot_bot_int_o,type,
bot_bot_int_o: int > $o ).
thf(tp_bot_bot_nat,type,
bot_bot_nat: nat ).
thf(tp_bot_bot_nat_o,type,
bot_bot_nat_o: nat > $o ).
thf(tp_bot_bot_o,type,
bot_bot_o: $o ).
thf(tp_bot_bot_pname_o,type,
bot_bot_pname_o: pname > $o ).
thf(tp_collect_a,type,
collect_a: ( x_a > $o ) > x_a > $o ).
thf(tp_collect_a_o,type,
collect_a_o: ( ( x_a > $o ) > $o ) > ( x_a > $o ) > $o ).
thf(tp_collect_a_o_o,type,
collect_a_o_o: ( ( ( x_a > $o ) > $o ) > $o ) > ( ( x_a > $o ) > $o ) > $o ).
thf(tp_collect_int,type,
collect_int: ( int > $o ) > int > $o ).
thf(tp_collect_int_o,type,
collect_int_o: ( ( int > $o ) > $o ) > ( int > $o ) > $o ).
thf(tp_collect_int_o_o,type,
collect_int_o_o: ( ( ( int > $o ) > $o ) > $o ) > ( ( int > $o ) > $o ) > $o ).
thf(tp_collect_nat,type,
collect_nat: ( nat > $o ) > nat > $o ).
thf(tp_collect_nat_o,type,
collect_nat_o: ( ( nat > $o ) > $o ) > ( nat > $o ) > $o ).
thf(tp_collect_nat_o_o,type,
collect_nat_o_o: ( ( ( nat > $o ) > $o ) > $o ) > ( ( nat > $o ) > $o ) > $o ).
thf(tp_collect_pname,type,
collect_pname: ( pname > $o ) > pname > $o ).
thf(tp_collect_pname_o,type,
collect_pname_o: ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
thf(tp_collect_pname_o_o,type,
collect_pname_o_o: ( ( ( pname > $o ) > $o ) > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(tp_ex,type,
ex: ( int > $o ) > $o ).
thf(tp_fequal_a,type,
fequal_a: x_a > x_a > $o ).
thf(tp_fequal_int,type,
fequal_int: int > int > $o ).
thf(tp_fequal_nat,type,
fequal_nat: nat > nat > $o ).
thf(tp_finite1066544169me_o_o,type,
finite1066544169me_o_o: ( ( ( pname > $o ) > $o ) > $o ) > $o ).
thf(tp_finite1282449217_pname,type,
finite1282449217_pname: ( pname > pname > pname ) > ( ( pname > $o ) > pname ) > $o ).
thf(tp_finite1432773856em_int,type,
finite1432773856em_int: ( int > int > int ) > ( ( int > $o ) > int ) > $o ).
thf(tp_finite1626084323ne_int,type,
finite1626084323ne_int: ( int > int > int ) > ( ( int > $o ) > int ) > $o ).
thf(tp_finite1676163439at_o_o,type,
finite1676163439at_o_o: ( ( ( nat > $o ) > $o ) > $o ) > $o ).
thf(tp_finite1819937229idem_a,type,
finite1819937229idem_a: ( x_a > x_a > x_a ) > ( ( x_a > $o ) > x_a ) > $o ).
thf(tp_finite229719499nt_o_o,type,
finite229719499nt_o_o: ( ( ( int > $o ) > $o ) > $o ) > $o ).
thf(tp_finite297249702name_o,type,
finite297249702name_o: ( ( pname > $o ) > $o ) > $o ).
thf(tp_finite795500164em_nat,type,
finite795500164em_nat: ( nat > nat > nat ) > ( ( nat > $o ) > nat ) > $o ).
thf(tp_finite89670078_pname,type,
finite89670078_pname: ( pname > pname > pname ) > ( ( pname > $o ) > pname ) > $o ).
thf(tp_finite988810631ne_nat,type,
finite988810631ne_nat: ( nat > nat > nat ) > ( ( nat > $o ) > nat ) > $o ).
thf(tp_finite_card_a,type,
finite_card_a: ( x_a > $o ) > nat ).
thf(tp_finite_card_a_o,type,
finite_card_a_o: ( ( x_a > $o ) > $o ) > nat ).
thf(tp_finite_card_int,type,
finite_card_int: ( int > $o ) > nat ).
thf(tp_finite_card_int_o,type,
finite_card_int_o: ( ( int > $o ) > $o ) > nat ).
thf(tp_finite_card_nat,type,
finite_card_nat: ( nat > $o ) > nat ).
thf(tp_finite_card_nat_o,type,
finite_card_nat_o: ( ( nat > $o ) > $o ) > nat ).
thf(tp_finite_card_pname,type,
finite_card_pname: ( pname > $o ) > nat ).
thf(tp_finite_card_pname_o,type,
finite_card_pname_o: ( ( pname > $o ) > $o ) > nat ).
thf(tp_finite_finite_a,type,
finite_finite_a: ( x_a > $o ) > $o ).
thf(tp_finite_finite_a_o,type,
finite_finite_a_o: ( ( x_a > $o ) > $o ) > $o ).
thf(tp_finite_finite_a_o_o,type,
finite_finite_a_o_o: ( ( ( x_a > $o ) > $o ) > $o ) > $o ).
thf(tp_finite_finite_int,type,
finite_finite_int: ( int > $o ) > $o ).
thf(tp_finite_finite_int_o,type,
finite_finite_int_o: ( ( int > $o ) > $o ) > $o ).
thf(tp_finite_finite_nat,type,
finite_finite_nat: ( nat > $o ) > $o ).
thf(tp_finite_finite_nat_o,type,
finite_finite_nat_o: ( ( nat > $o ) > $o ) > $o ).
thf(tp_finite_finite_pname,type,
finite_finite_pname: ( pname > $o ) > $o ).
thf(tp_finite_folding_one_a,type,
finite_folding_one_a: ( x_a > x_a > x_a ) > ( ( x_a > $o ) > x_a ) > $o ).
thf(tp_g,type,
g: x_a > $o ).
thf(tp_if_nat,type,
if_nat: $o > nat > nat > nat ).
thf(tp_image_a_a,type,
image_a_a: ( x_a > x_a ) > ( x_a > $o ) > x_a > $o ).
thf(tp_image_a_a_o,type,
image_a_a_o: ( x_a > x_a > $o ) > ( x_a > $o ) > ( x_a > $o ) > $o ).
thf(tp_image_a_int,type,
image_a_int: ( x_a > int ) > ( x_a > $o ) > int > $o ).
thf(tp_image_a_int_o,type,
image_a_int_o: ( x_a > int > $o ) > ( x_a > $o ) > ( int > $o ) > $o ).
thf(tp_image_a_nat,type,
image_a_nat: ( x_a > nat ) > ( x_a > $o ) > nat > $o ).
thf(tp_image_a_nat_o,type,
image_a_nat_o: ( x_a > nat > $o ) > ( x_a > $o ) > ( nat > $o ) > $o ).
thf(tp_image_a_o_a,type,
image_a_o_a: ( ( x_a > $o ) > x_a ) > ( ( x_a > $o ) > $o ) > x_a > $o ).
thf(tp_image_a_o_int,type,
image_a_o_int: ( ( x_a > $o ) > int ) > ( ( x_a > $o ) > $o ) > int > $o ).
thf(tp_image_a_o_nat,type,
image_a_o_nat: ( ( x_a > $o ) > nat ) > ( ( x_a > $o ) > $o ) > nat > $o ).
thf(tp_image_a_o_pname,type,
image_a_o_pname: ( ( x_a > $o ) > pname ) > ( ( x_a > $o ) > $o ) > pname > $o ).
thf(tp_image_a_pname,type,
image_a_pname: ( x_a > pname ) > ( x_a > $o ) > pname > $o ).
thf(tp_image_a_pname_o,type,
image_a_pname_o: ( x_a > pname > $o ) > ( x_a > $o ) > ( pname > $o ) > $o ).
thf(tp_image_int_a,type,
image_int_a: ( int > x_a ) > ( int > $o ) > x_a > $o ).
thf(tp_image_int_a_o,type,
image_int_a_o: ( int > x_a > $o ) > ( int > $o ) > ( x_a > $o ) > $o ).
thf(tp_image_int_int_o,type,
image_int_int_o: ( int > int > $o ) > ( int > $o ) > ( int > $o ) > $o ).
thf(tp_image_int_nat_o,type,
image_int_nat_o: ( int > nat > $o ) > ( int > $o ) > ( nat > $o ) > $o ).
thf(tp_image_int_o_a,type,
image_int_o_a: ( ( int > $o ) > x_a ) > ( ( int > $o ) > $o ) > x_a > $o ).
thf(tp_image_int_o_int,type,
image_int_o_int: ( ( int > $o ) > int ) > ( ( int > $o ) > $o ) > int > $o ).
thf(tp_image_int_o_nat,type,
image_int_o_nat: ( ( int > $o ) > nat ) > ( ( int > $o ) > $o ) > nat > $o ).
thf(tp_image_int_o_pname,type,
image_int_o_pname: ( ( int > $o ) > pname ) > ( ( int > $o ) > $o ) > pname > $o ).
thf(tp_image_int_pname,type,
image_int_pname: ( int > pname ) > ( int > $o ) > pname > $o ).
thf(tp_image_int_pname_o,type,
image_int_pname_o: ( int > pname > $o ) > ( int > $o ) > ( pname > $o ) > $o ).
thf(tp_image_nat_a,type,
image_nat_a: ( nat > x_a ) > ( nat > $o ) > x_a > $o ).
thf(tp_image_nat_a_o,type,
image_nat_a_o: ( nat > x_a > $o ) > ( nat > $o ) > ( x_a > $o ) > $o ).
thf(tp_image_nat_int,type,
image_nat_int: ( nat > int ) > ( nat > $o ) > int > $o ).
thf(tp_image_nat_int_o,type,
image_nat_int_o: ( nat > int > $o ) > ( nat > $o ) > ( int > $o ) > $o ).
thf(tp_image_nat_nat_o,type,
image_nat_nat_o: ( nat > nat > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).
thf(tp_image_nat_o_a,type,
image_nat_o_a: ( ( nat > $o ) > x_a ) > ( ( nat > $o ) > $o ) > x_a > $o ).
thf(tp_image_nat_o_int,type,
image_nat_o_int: ( ( nat > $o ) > int ) > ( ( nat > $o ) > $o ) > int > $o ).
thf(tp_image_nat_o_nat,type,
image_nat_o_nat: ( ( nat > $o ) > nat ) > ( ( nat > $o ) > $o ) > nat > $o ).
thf(tp_image_nat_o_pname,type,
image_nat_o_pname: ( ( nat > $o ) > pname ) > ( ( nat > $o ) > $o ) > pname > $o ).
thf(tp_image_nat_pname,type,
image_nat_pname: ( nat > pname ) > ( nat > $o ) > pname > $o ).
thf(tp_image_nat_pname_o,type,
image_nat_pname_o: ( nat > pname > $o ) > ( nat > $o ) > ( pname > $o ) > $o ).
thf(tp_image_pname_a,type,
image_pname_a: ( pname > x_a ) > ( pname > $o ) > x_a > $o ).
thf(tp_image_pname_a_o,type,
image_pname_a_o: ( pname > x_a > $o ) > ( pname > $o ) > ( x_a > $o ) > $o ).
thf(tp_image_pname_int,type,
image_pname_int: ( pname > int ) > ( pname > $o ) > int > $o ).
thf(tp_image_pname_int_o,type,
image_pname_int_o: ( pname > int > $o ) > ( pname > $o ) > ( int > $o ) > $o ).
thf(tp_image_pname_nat,type,
image_pname_nat: ( pname > nat ) > ( pname > $o ) > nat > $o ).
thf(tp_image_pname_nat_o,type,
image_pname_nat_o: ( pname > nat > $o ) > ( pname > $o ) > ( nat > $o ) > $o ).
thf(tp_image_pname_o_a,type,
image_pname_o_a: ( ( pname > $o ) > x_a ) > ( ( pname > $o ) > $o ) > x_a > $o ).
thf(tp_image_pname_o_int,type,
image_pname_o_int: ( ( pname > $o ) > int ) > ( ( pname > $o ) > $o ) > int > $o ).
thf(tp_image_pname_o_nat,type,
image_pname_o_nat: ( ( pname > $o ) > nat ) > ( ( pname > $o ) > $o ) > nat > $o ).
thf(tp_image_pname_o_pname,type,
image_pname_o_pname: ( ( pname > $o ) > pname ) > ( ( pname > $o ) > $o ) > pname > $o ).
thf(tp_image_pname_pname,type,
image_pname_pname: ( pname > pname ) > ( pname > $o ) > pname > $o ).
thf(tp_image_pname_pname_o,type,
image_pname_pname_o: ( pname > pname > $o ) > ( pname > $o ) > ( pname > $o ) > $o ).
thf(tp_insert_a,type,
insert_a: x_a > ( x_a > $o ) > x_a > $o ).
thf(tp_insert_a_o,type,
insert_a_o: ( x_a > $o ) > ( ( x_a > $o ) > $o ) > ( x_a > $o ) > $o ).
thf(tp_insert_int,type,
insert_int: int > ( int > $o ) > int > $o ).
thf(tp_insert_int_o,type,
insert_int_o: ( int > $o ) > ( ( int > $o ) > $o ) > ( int > $o ) > $o ).
thf(tp_insert_nat,type,
insert_nat: nat > ( nat > $o ) > nat > $o ).
thf(tp_insert_nat_o,type,
insert_nat_o: ( nat > $o ) > ( ( nat > $o ) > $o ) > ( nat > $o ) > $o ).
thf(tp_insert_pname,type,
insert_pname: pname > ( pname > $o ) > pname > $o ).
thf(tp_insert_pname_o,type,
insert_pname_o: ( pname > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
thf(tp_member_a,type,
member_a: x_a > ( x_a > $o ) > $o ).
thf(tp_member_a_o,type,
member_a_o: ( x_a > $o ) > ( ( x_a > $o ) > $o ) > $o ).
thf(tp_member_int,type,
member_int: int > ( int > $o ) > $o ).
thf(tp_member_int_o,type,
member_int_o: ( int > $o ) > ( ( int > $o ) > $o ) > $o ).
thf(tp_member_nat,type,
member_nat: nat > ( nat > $o ) > $o ).
thf(tp_member_nat_o,type,
member_nat_o: ( nat > $o ) > ( ( nat > $o ) > $o ) > $o ).
thf(tp_member_pname,type,
member_pname: pname > ( pname > $o ) > $o ).
thf(tp_member_pname_o,type,
member_pname_o: ( pname > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(tp_mgt,type,
mgt: com > x_a ).
thf(tp_mgt_call,type,
mgt_call: pname > x_a ).
thf(tp_minus_minus_a_o,type,
minus_minus_a_o: ( x_a > $o ) > ( x_a > $o ) > x_a > $o ).
thf(tp_minus_minus_int,type,
minus_minus_int: int > int > int ).
thf(tp_minus_minus_int_o,type,
minus_minus_int_o: ( int > $o ) > ( int > $o ) > int > $o ).
thf(tp_minus_minus_nat,type,
minus_minus_nat: nat > nat > nat ).
thf(tp_minus_minus_nat_o,type,
minus_minus_nat_o: ( nat > $o ) > ( nat > $o ) > nat > $o ).
thf(tp_minus_minus_pname_o,type,
minus_minus_pname_o: ( pname > $o ) > ( pname > $o ) > pname > $o ).
thf(tp_na,type,
na: nat ).
thf(tp_nat_case_nat,type,
nat_case_nat: nat > ( nat > nat ) > nat > nat ).
thf(tp_nat_case_o,type,
nat_case_o: $o > ( nat > $o ) > nat > $o ).
thf(tp_nat_neg,type,
nat_neg: int > $o ).
thf(tp_nat_tsub,type,
nat_tsub: int > int > int ).
thf(tp_number_number_of_int,type,
number_number_of_int: int > int ).
thf(tp_number_number_of_nat,type,
number_number_of_nat: int > nat ).
thf(tp_one_one_int,type,
one_one_int: int ).
thf(tp_one_one_nat,type,
one_one_nat: nat ).
thf(tp_ord_le1205211808me_o_o,type,
ord_le1205211808me_o_o: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(tp_ord_less_eq_a_o,type,
ord_less_eq_a_o: ( x_a > $o ) > ( x_a > $o ) > $o ).
thf(tp_ord_less_eq_a_o_o,type,
ord_less_eq_a_o_o: ( ( x_a > $o ) > $o ) > ( ( x_a > $o ) > $o ) > $o ).
thf(tp_ord_less_eq_int,type,
ord_less_eq_int: int > int > $o ).
thf(tp_ord_less_eq_int_o,type,
ord_less_eq_int_o: ( int > $o ) > ( int > $o ) > $o ).
thf(tp_ord_less_eq_int_o_o,type,
ord_less_eq_int_o_o: ( ( int > $o ) > $o ) > ( ( int > $o ) > $o ) > $o ).
thf(tp_ord_less_eq_nat,type,
ord_less_eq_nat: nat > nat > $o ).
thf(tp_ord_less_eq_nat_o,type,
ord_less_eq_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(tp_ord_less_eq_nat_o_o,type,
ord_less_eq_nat_o_o: ( ( nat > $o ) > $o ) > ( ( nat > $o ) > $o ) > $o ).
thf(tp_ord_less_eq_o,type,
ord_less_eq_o: $o > $o > $o ).
thf(tp_ord_less_eq_pname_o,type,
ord_less_eq_pname_o: ( pname > $o ) > ( pname > $o ) > $o ).
thf(tp_ord_less_int,type,
ord_less_int: int > int > $o ).
thf(tp_ord_less_int_o,type,
ord_less_int_o: ( int > $o ) > ( int > $o ) > $o ).
thf(tp_ord_less_nat,type,
ord_less_nat: nat > nat > $o ).
thf(tp_ord_less_nat_o,type,
ord_less_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(tp_p,type,
p: ( x_a > $o ) > ( x_a > $o ) > $o ).
thf(tp_pls,type,
pls: int ).
thf(tp_plus_plus_int,type,
plus_plus_int: int > int > int ).
thf(tp_plus_plus_nat,type,
plus_plus_nat: nat > nat > nat ).
thf(tp_pn,type,
pn: pname ).
thf(tp_sK10_SV178,type,
sK10_SV178: ( x_a > $o ) > ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK11_SV181,type,
sK11_SV181: ( x_a > $o ) > ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK12_SV184,type,
sK12_SV184: ( x_a > $o ) > x_a ).
thf(tp_sK13_SV186,type,
sK13_SV186: ( x_a > $o ) > x_a ).
thf(tp_sK14_SY279,type,
sK14_SY279: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK15_SV193,type,
sK15_SV193: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK16_SV196,type,
sK16_SV196: ( x_a > $o ) > ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK17_SV199,type,
sK17_SV199: ( x_a > $o ) > ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK18_SV202,type,
sK18_SV202: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK19_SY306,type,
sK19_SY306: ( pname > x_a ) > ( x_a > $o ) > ( pname > $o ) > pname > $o ).
thf(tp_sK1_SV163,type,
sK1_SV163: ( x_a > $o ) > x_a > x_a ).
thf(tp_sK20_SV207,type,
sK20_SV207: x_a > x_a > x_a > x_a > x_a ).
thf(tp_sK21_SV210,type,
sK21_SV210: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK22_SV217,type,
sK22_SV217: ( x_a > $o ) > ( x_a > $o ) > x_a > x_a ).
thf(tp_sK23_SV218,type,
sK23_SV218: x_a > ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK24_SV235,type,
sK24_SV235: ( pname > $o ) > ( pname > $o ) > ( pname > x_a ) > ( x_a > $o ) > x_a ).
thf(tp_sK2_SY269,type,
sK2_SY269: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK3_SY290,type,
sK3_SY290: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK4_SV168,type,
sK4_SV168: ( x_a > $o ) > x_a > x_a ).
thf(tp_sK5_SV171,type,
sK5_SV171: x_a > x_a > x_a ).
thf(tp_sK6_SV174,type,
sK6_SV174: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK7_SV175,type,
sK7_SV175: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK8_SV176,type,
sK8_SV176: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK9_SV177,type,
sK9_SV177: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_semiri1621563631at_int,type,
semiri1621563631at_int: nat > int ).
thf(tp_suc,type,
suc: nat > nat ).
thf(tp_succ,type,
succ: int > int ).
thf(tp_the_a,type,
the_a: ( x_a > $o ) > x_a ).
thf(tp_the_com,type,
the_com: option_com > com ).
thf(tp_the_elem_a,type,
the_elem_a: ( x_a > $o ) > x_a ).
thf(tp_the_elem_int,type,
the_elem_int: ( int > $o ) > int ).
thf(tp_the_elem_nat,type,
the_elem_nat: ( nat > $o ) > nat ).
thf(tp_the_int,type,
the_int: ( int > $o ) > int ).
thf(tp_the_nat,type,
the_nat: ( nat > $o ) > nat ).
thf(tp_times_times_int,type,
times_times_int: int > int > int ).
thf(tp_times_times_nat,type,
times_times_nat: nat > nat > nat ).
thf(tp_u,type,
u: pname > $o ).
thf(tp_wt,type,
wt: com > $o ).
thf(tp_zero_zero_int,type,
zero_zero_int: int ).
thf(tp_zero_zero_nat,type,
zero_zero_nat: nat ).
thf(5,axiom,
! [P: $o] :
( ( P = $true )
| ( P = $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_000tc__Nat__Onat_T) ).
thf(548,axiom,
! [A_46: x_a > $o,X_15: x_a] :
( ( ord_less_eq_a_o @ A_46 @ ( insert_a @ X_15 @ bot_bot_a_o ) )
=> ( ( A_46 = bot_bot_a_o )
| ( A_46
= ( insert_a @ X_15 @ bot_bot_a_o ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_660_subset__singletonD) ).
thf(579,axiom,
! [A_57: x_a > $o] : ( ord_less_eq_a_o @ bot_bot_a_o @ A_57 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_629_bot__least) ).
thf(583,axiom,
! [A_58: x_a > $o] :
( ( ord_less_eq_a_o @ A_58 @ bot_bot_a_o )
<=> ( A_58 = bot_bot_a_o ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_625_bot__unique) ).
thf(587,axiom,
! [A_59: x_a > $o] :
( ( ord_less_eq_a_o @ A_59 @ bot_bot_a_o )
=> ( A_59 = bot_bot_a_o ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_621_le__bot) ).
thf(597,axiom,
! [A_62: x_a > $o] :
( ( ord_less_eq_a_o @ A_62 @ bot_bot_a_o )
<=> ( A_62 = bot_bot_a_o ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_611_subset__empty) ).
thf(602,axiom,
! [A_64: x_a,A_63: x_a > $o] :
( bot_bot_a_o
!= ( insert_a @ A_64 @ A_63 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_606_empty__not__insert) ).
thf(605,axiom,
! [A_66: x_a,A_65: x_a > $o] :
( ( insert_a @ A_66 @ A_65 )
!= bot_bot_a_o ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_603_insert__not__empty) ).
thf(612,axiom,
! [A_68: x_a,B_33: x_a,C_22: x_a,D_4: x_a] :
( ( ( insert_a @ A_68 @ ( insert_a @ B_33 @ bot_bot_a_o ) )
= ( insert_a @ C_22 @ ( insert_a @ D_4 @ bot_bot_a_o ) ) )
<=> ( ( ( A_68 = C_22 )
& ( B_33 = D_4 ) )
| ( ( A_68 = D_4 )
& ( B_33 = C_22 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_596_doubleton__eq__iff) ).
thf(619,axiom,
! [A_70: x_a,B_35: x_a] :
( ( ( insert_a @ A_70 @ bot_bot_a_o )
= ( insert_a @ B_35 @ bot_bot_a_o ) )
=> ( A_70 = B_35 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_589_singleton__inject) ).
thf(620,axiom,
! [A_71: x_a > $o,B_36: x_a > $o] : ( ord_less_eq_a_o @ ( minus_minus_a_o @ A_71 @ B_36 ) @ A_71 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_588_Diff__subset) ).
thf(623,axiom,
! [D_5: x_a > $o,B_37: x_a > $o,A_72: x_a > $o,C_23: x_a > $o] :
( ( ord_less_eq_a_o @ A_72 @ C_23 )
=> ( ( ord_less_eq_a_o @ D_5 @ B_37 )
=> ( ord_less_eq_a_o @ ( minus_minus_a_o @ A_72 @ B_37 ) @ ( minus_minus_a_o @ C_23 @ D_5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_585_Diff__mono) ).
thf(626,axiom,
! [C_24: x_a > $o,A_73: x_a > $o,B_38: x_a > $o] :
( ( ord_less_eq_a_o @ A_73 @ B_38 )
=> ( ( ord_less_eq_a_o @ B_38 @ C_24 )
=> ( ( minus_minus_a_o @ B_38 @ ( minus_minus_a_o @ C_24 @ A_73 ) )
= A_73 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_582_double__diff) ).
thf(705,axiom,
! [A_95: x_a > $o] : ( ord_less_eq_a_o @ bot_bot_a_o @ A_95 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_503_empty__subsetI) ).
thf(723,axiom,
! [F_23: x_a > $o,G_1: x_a > $o] :
( ! [X_1: x_a] : ( ord_less_eq_o @ ( F_23 @ X_1 ) @ ( G_1 @ X_1 ) )
=> ( ord_less_eq_a_o @ F_23 @ G_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_485_le__funI) ).
thf(729,axiom,
! [B_49: x_a > $o,A_100: x_a > $o] :
( ! [X_1: x_a] :
( ( member_a @ X_1 @ A_100 )
=> ( member_a @ X_1 @ B_49 ) )
=> ( ord_less_eq_a_o @ A_100 @ B_49 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_479_subsetI) ).
thf(734,axiom,
! [F_26: pname > x_a,A_102: pname > $o,B_51: pname > $o] :
( ( ord_less_eq_pname_o @ A_102 @ B_51 )
=> ( ord_less_eq_a_o @ ( image_pname_a @ F_26 @ A_102 ) @ ( image_pname_a @ F_26 @ B_51 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_474_image__mono) ).
thf(736,axiom,
! [B_52: x_a > $o,F_27: pname > x_a,A_103: pname > $o] :
( ( ord_less_eq_a_o @ B_52 @ ( image_pname_a @ F_27 @ A_103 ) )
<=> ? [AA: pname > $o] :
( ( ord_less_eq_pname_o @ AA @ A_103 )
& ( B_52
= ( image_pname_a @ F_27 @ AA ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_472_subset__image__iff) ).
thf(738,axiom,
! [F_28: pname > x_a,X_25: pname,A_104: pname > $o] :
( ( member_pname @ X_25 @ A_104 )
=> ( ( insert_a @ ( F_28 @ X_25 ) @ ( image_pname_a @ F_28 @ A_104 ) )
= ( image_pname_a @ F_28 @ A_104 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_470_insert__image) ).
thf(740,axiom,
! [F_29: pname > x_a,A_105: pname,B_53: pname > $o] :
( ( image_pname_a @ F_29 @ ( insert_pname @ A_105 @ B_53 ) )
= ( insert_a @ ( F_29 @ A_105 ) @ ( image_pname_a @ F_29 @ B_53 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_468_image__insert) ).
thf(744,axiom,
! [A_106: x_a,C_27: x_a > $o,D_7: x_a > $o] :
( ( ord_less_eq_a_o @ C_27 @ D_7 )
=> ( ord_less_eq_a_o @ ( insert_a @ A_106 @ C_27 ) @ ( insert_a @ A_106 @ D_7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_464_insert__mono) ).
thf(747,axiom,
! [B_55: x_a,A_107: x_a > $o,B_54: x_a > $o] :
( ( ord_less_eq_a_o @ A_107 @ B_54 )
=> ( ord_less_eq_a_o @ A_107 @ ( insert_a @ B_55 @ B_54 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_461_subset__insertI2) ).
thf(751,axiom,
! [B_56: x_a > $o,X_26: x_a,A_108: x_a > $o] :
( ~ ( member_a @ X_26 @ A_108 )
=> ( ( ord_less_eq_a_o @ A_108 @ ( insert_a @ X_26 @ B_56 ) )
<=> ( ord_less_eq_a_o @ A_108 @ B_56 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_457_subset__insert) ).
thf(755,axiom,
! [X_27: x_a,A_109: x_a > $o,B_57: x_a > $o] :
( ( ord_less_eq_a_o @ ( insert_a @ X_27 @ A_109 ) @ B_57 )
<=> ( ( member_a @ X_27 @ B_57 )
& ( ord_less_eq_a_o @ A_109 @ B_57 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_453_insert__subset) ).
thf(758,axiom,
! [B_58: x_a > $o,A_110: x_a] : ( ord_less_eq_a_o @ B_58 @ ( insert_a @ A_110 @ B_58 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_450_subset__insertI) ).
thf(759,axiom,
! [X_28: x_a,F_30: x_a > $o,G_2: x_a > $o] :
( ( ord_less_eq_a_o @ F_30 @ G_2 )
=> ( ord_less_eq_o @ ( F_30 @ X_28 ) @ ( G_2 @ X_28 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_449_le__funE) ).
thf(762,axiom,
! [X_29: x_a,F_31: x_a > $o,G_3: x_a > $o] :
( ( ord_less_eq_a_o @ F_31 @ G_3 )
=> ( ord_less_eq_o @ ( F_31 @ X_29 ) @ ( G_3 @ X_29 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_446_le__funD) ).
thf(765,axiom,
! [F_32: x_a > $o,G_4: x_a > $o] :
( ( ord_less_eq_a_o @ F_32 @ G_4 )
<=> ! [X_1: x_a] : ( ord_less_eq_o @ ( F_32 @ X_1 ) @ ( G_4 @ X_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_443_le__fun__def) ).
thf(778,axiom,
! [A_114: x_a > $o,B_60: x_a > $o] :
( ( A_114 = B_60 )
=> ~ ( ( ord_less_eq_a_o @ A_114 @ B_60 )
=> ~ ( ord_less_eq_a_o @ B_60 @ A_114 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_430_equalityE) ).
thf(781,axiom,
! [C_28: x_a > $o,A_115: x_a > $o,B_61: x_a > $o] :
( ( ord_less_eq_a_o @ A_115 @ B_61 )
=> ( ( ord_less_eq_a_o @ B_61 @ C_28 )
=> ( ord_less_eq_a_o @ A_115 @ C_28 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_427_subset__trans) ).
thf(785,axiom,
! [X_32: x_a,A_116: x_a > $o,B_62: x_a > $o] :
( ( ord_less_eq_a_o @ A_116 @ B_62 )
=> ( ( member_a @ X_32 @ A_116 )
=> ( member_a @ X_32 @ B_62 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_423_set__mp) ).
thf(789,axiom,
! [B_63: x_a > $o,X_33: x_a,A_117: x_a > $o] :
( ( member_a @ X_33 @ A_117 )
=> ( ( ord_less_eq_a_o @ A_117 @ B_63 )
=> ( member_a @ X_33 @ B_63 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_419_set__rev__mp) ).
thf(793,axiom,
! [X_34: x_a,A_118: x_a > $o,B_64: x_a > $o] :
( ( ord_less_eq_a_o @ A_118 @ B_64 )
=> ( ( member_a @ X_34 @ A_118 )
=> ( member_a @ X_34 @ B_64 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_415_in__mono) ).
thf(796,axiom,
! [A_119: x_a > $o,B_65: x_a > $o] :
( ( A_119 = B_65 )
=> ( ord_less_eq_a_o @ B_65 @ A_119 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_412_equalityD2) ).
thf(799,axiom,
! [A_120: x_a > $o,B_66: x_a > $o] :
( ( A_120 = B_66 )
=> ( ord_less_eq_a_o @ A_120 @ B_66 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_409_equalityD1) ).
thf(802,axiom,
! [A_121: x_a > $o,B_67: x_a > $o] :
( ( A_121 = B_67 )
<=> ( ( ord_less_eq_a_o @ A_121 @ B_67 )
& ( ord_less_eq_a_o @ B_67 @ A_121 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_406_set__eq__subset) ).
thf(805,axiom,
! [A_122: x_a > $o] : ( ord_less_eq_a_o @ A_122 @ A_122 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_403_subset__refl) ).
thf(811,axiom,
! [A_124: x_a,A_123: x_a > $o] :
( ( member_a @ A_124 @ A_123 )
=> ( ( insert_a @ A_124 @ A_123 )
= A_123 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_397_insert__absorb) ).
thf(815,axiom,
! [B_69: x_a,A_125: x_a,B_68: x_a > $o] :
( ( member_a @ A_125 @ B_68 )
=> ( member_a @ A_125 @ ( insert_a @ B_69 @ B_68 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_393_insertI2) ).
thf(819,axiom,
! [B_70: x_a > $o,X_35: x_a,A_126: x_a > $o] :
( ~ ( member_a @ X_35 @ A_126 )
=> ( ~ ( member_a @ X_35 @ B_70 )
=> ( ( ( insert_a @ X_35 @ A_126 )
= ( insert_a @ X_35 @ B_70 ) )
<=> ( A_126 = B_70 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_389_insert__ident) ).
thf(820,axiom,
! [Y_2: x_a,A_127: x_a > $o,X_36: x_a] :
( ( insert_a @ Y_2 @ A_127 @ X_36 )
<=> ( ( Y_2 = X_36 )
| ( A_127 @ X_36 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_388_insert__code) ).
thf(824,axiom,
! [A_129: x_a,B_71: x_a,A_128: x_a > $o] :
( ( member_a @ A_129 @ ( insert_a @ B_71 @ A_128 ) )
<=> ( ( A_129 = B_71 )
| ( member_a @ A_129 @ A_128 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_384_insert__iff) ).
thf(825,axiom,
! [X_37: x_a,Y_3: x_a,A_130: x_a > $o] :
( ( insert_a @ X_37 @ ( insert_a @ Y_3 @ A_130 ) )
= ( insert_a @ Y_3 @ ( insert_a @ X_37 @ A_130 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_383_insert__commute) ).
thf(826,axiom,
! [X_38: x_a,A_131: x_a > $o] :
( ( insert_a @ X_38 @ ( insert_a @ X_38 @ A_131 ) )
= ( insert_a @ X_38 @ A_131 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_382_insert__absorb2) ).
thf(835,axiom,
! [A_133: x_a,P_11: x_a > $o] :
( ( insert_a @ A_133 @ ( collect_a @ P_11 ) )
= ( collect_a
@ ^ [U_1: x_a] :
( ( U_1 != A_133 )
=> ( P_11 @ U_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_373_insert__Collect) ).
thf(843,axiom,
! [A_135: x_a,B_73: x_a > $o] : ( member_a @ A_135 @ ( insert_a @ A_135 @ B_73 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_365_insertI1) ).
thf(846,axiom,
! [Z_5: x_a > $o,Y_5: x_a > $o,X_41: x_a > $o] :
( ( ord_less_eq_a_o @ Y_5 @ X_41 )
=> ( ( ord_less_eq_a_o @ Z_5 @ Y_5 )
=> ( ord_less_eq_a_o @ Z_5 @ X_41 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_362_xt1_I6_J) ).
thf(851,axiom,
! [Y_6: x_a > $o,X_42: x_a > $o] :
( ( ord_less_eq_a_o @ Y_6 @ X_42 )
=> ( ( ord_less_eq_a_o @ X_42 @ Y_6 )
=> ( X_42 = Y_6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_357_xt1_I5_J) ).
thf(856,axiom,
! [Z_6: x_a > $o,X_43: x_a > $o,Y_7: x_a > $o] :
( ( ord_less_eq_a_o @ X_43 @ Y_7 )
=> ( ( ord_less_eq_a_o @ Y_7 @ Z_6 )
=> ( ord_less_eq_a_o @ X_43 @ Z_6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_352_order__trans) ).
thf(861,axiom,
! [X_44: x_a > $o,Y_8: x_a > $o] :
( ( ord_less_eq_a_o @ X_44 @ Y_8 )
=> ( ( ord_less_eq_a_o @ Y_8 @ X_44 )
=> ( X_44 = Y_8 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_347_order__antisym) ).
thf(866,axiom,
! [C_29: x_a > $o,B_74: x_a > $o,A_136: x_a > $o] :
( ( ord_less_eq_a_o @ B_74 @ A_136 )
=> ( ( B_74 = C_29 )
=> ( ord_less_eq_a_o @ C_29 @ A_136 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_342_xt1_I4_J) ).
thf(871,axiom,
! [C_30: x_a > $o,A_137: x_a > $o,B_75: x_a > $o] :
( ( ord_less_eq_a_o @ A_137 @ B_75 )
=> ( ( B_75 = C_30 )
=> ( ord_less_eq_a_o @ A_137 @ C_30 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_337_ord__le__eq__trans) ).
thf(876,axiom,
! [C_31: x_a > $o,A_138: x_a > $o,B_76: x_a > $o] :
( ( A_138 = B_76 )
=> ( ( ord_less_eq_a_o @ C_31 @ B_76 )
=> ( ord_less_eq_a_o @ C_31 @ A_138 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_332_xt1_I3_J) ).
thf(881,axiom,
! [C_32: x_a > $o,A_139: x_a > $o,B_77: x_a > $o] :
( ( A_139 = B_77 )
=> ( ( ord_less_eq_a_o @ B_77 @ C_32 )
=> ( ord_less_eq_a_o @ A_139 @ C_32 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_327_ord__eq__le__trans) ).
thf(886,axiom,
! [Y_9: x_a > $o,X_45: x_a > $o] :
( ( ord_less_eq_a_o @ Y_9 @ X_45 )
=> ( ( ord_less_eq_a_o @ X_45 @ Y_9 )
<=> ( X_45 = Y_9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_322_order__antisym__conv) ).
thf(891,axiom,
! [X_46: x_a > $o,Y_10: x_a > $o] :
( ( X_46 = Y_10 )
=> ( ord_less_eq_a_o @ X_46 @ Y_10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_317_order__eq__refl) ).
thf(896,axiom,
! [X_47: x_a > $o,Y_11: x_a > $o] :
( ( X_47 = Y_11 )
<=> ( ( ord_less_eq_a_o @ X_47 @ Y_11 )
& ( ord_less_eq_a_o @ Y_11 @ X_47 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_312_order__eq__iff) ).
thf(903,axiom,
! [X_49: x_a > $o] : ( ord_less_eq_a_o @ X_49 @ X_49 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_305_order__refl) ).
thf(913,axiom,
! [A_141: x_a,B_78: x_a,A_140: x_a > $o] :
( ( member_a @ A_141 @ ( insert_a @ B_78 @ A_140 ) )
=> ( ( A_141 != B_78 )
=> ( member_a @ A_141 @ A_140 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_295_insertE) ).
thf(917,axiom,
! [B_80: x_a,A_142: x_a,B_79: x_a > $o] :
( ( ~ ( member_a @ A_142 @ B_79 )
=> ( A_142 = B_80 ) )
=> ( member_a @ A_142 @ ( insert_a @ B_80 @ B_79 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_291_insertCI) ).
thf(919,axiom,
! [C_33: x_a,A_143: x_a > $o,B_81: x_a > $o] :
( ( ord_less_eq_a_o @ A_143 @ B_81 )
=> ( ( member_a @ C_33 @ A_143 )
=> ( member_a @ C_33 @ B_81 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_289_subsetD) ).
thf(922,axiom,
! [A_144: x_a > $o,B_82: x_a > $o] :
( ( ord_less_eq_a_o @ A_144 @ B_82 )
=> ( ( ord_less_eq_a_o @ B_82 @ A_144 )
=> ( A_144 = B_82 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_286_equalityI) ).
thf(1048,axiom,
! [A_149: x_a > $o,B_86: x_a > $o] :
( ( finite_finite_a @ B_86 )
=> ( ( ord_less_eq_a_o @ A_149 @ B_86 )
=> ( finite_finite_a @ A_149 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_160_rev__finite__subset) ).
thf(1056,axiom,
! [A_150: x_a > $o,B_87: x_a > $o] :
( ( ord_less_eq_a_o @ A_150 @ B_87 )
=> ( ( finite_finite_a @ B_87 )
=> ( finite_finite_a @ A_150 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_152_finite__subset) ).
thf(1061,axiom,
! [A_152: x_a,A_151: x_a > $o] :
( ( finite_finite_a @ ( insert_a @ A_152 @ A_151 ) )
<=> ( finite_finite_a @ A_151 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_147_finite__insert) ).
thf(1161,axiom,
! [A_160: x_a,A_159: x_a > $o] :
( ( finite_finite_a @ A_159 )
=> ( finite_finite_a @ ( insert_a @ A_160 @ A_159 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_finite_OinsertI) ).
thf(1208,axiom,
! [Ts: x_a > $o,G: x_a > $o] :
( ( ord_less_eq_a_o @ Ts @ G )
=> ( p @ G @ Ts ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms_I1_J) ).
thf(1209,axiom,
~ ( member_a @ ( mgt_call @ pn ) @ g ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
thf(1210,axiom,
member_pname @ pn @ u,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
thf(1213,axiom,
ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(1214,axiom,
finite_finite_pname @ u,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(1215,conjecture,
ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).
thf(1216,negated_conjecture,
( ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1215]) ).
thf(1217,plain,
( ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) )
= $false ),
inference(unfold_def,[status(thm)],[1216]) ).
thf(1218,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(1219,plain,
( ( ! [A_46: x_a > $o,X_15: x_a] :
( ( ord_less_eq_a_o @ A_46 @ ( insert_a @ X_15 @ bot_bot_a_o ) )
=> ( ( A_46 = bot_bot_a_o )
| ( A_46
= ( insert_a @ X_15 @ bot_bot_a_o ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[548]) ).
thf(1220,plain,
( ( ! [A_57: x_a > $o] : ( ord_less_eq_a_o @ bot_bot_a_o @ A_57 ) )
= $true ),
inference(unfold_def,[status(thm)],[579]) ).
thf(1221,plain,
( ( ! [A_58: x_a > $o] :
( ( ord_less_eq_a_o @ A_58 @ bot_bot_a_o )
<=> ( A_58 = bot_bot_a_o ) ) )
= $true ),
inference(unfold_def,[status(thm)],[583]) ).
thf(1222,plain,
( ( ! [A_59: x_a > $o] :
( ( ord_less_eq_a_o @ A_59 @ bot_bot_a_o )
=> ( A_59 = bot_bot_a_o ) ) )
= $true ),
inference(unfold_def,[status(thm)],[587]) ).
thf(1223,plain,
( ( ! [A_62: x_a > $o] :
( ( ord_less_eq_a_o @ A_62 @ bot_bot_a_o )
<=> ( A_62 = bot_bot_a_o ) ) )
= $true ),
inference(unfold_def,[status(thm)],[597]) ).
thf(1224,plain,
( ( ! [A_64: x_a,A_63: x_a > $o] :
( bot_bot_a_o
!= ( insert_a @ A_64 @ A_63 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[602]) ).
thf(1225,plain,
( ( ! [A_66: x_a,A_65: x_a > $o] :
( ( insert_a @ A_66 @ A_65 )
!= bot_bot_a_o ) )
= $true ),
inference(unfold_def,[status(thm)],[605]) ).
thf(1226,plain,
( ( ! [A_68: x_a,B_33: x_a,C_22: x_a,D_4: x_a] :
( ( ( insert_a @ A_68 @ ( insert_a @ B_33 @ bot_bot_a_o ) )
= ( insert_a @ C_22 @ ( insert_a @ D_4 @ bot_bot_a_o ) ) )
<=> ( ( ( A_68 = C_22 )
& ( B_33 = D_4 ) )
| ( ( A_68 = D_4 )
& ( B_33 = C_22 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[612]) ).
thf(1227,plain,
( ( ! [A_70: x_a,B_35: x_a] :
( ( ( insert_a @ A_70 @ bot_bot_a_o )
= ( insert_a @ B_35 @ bot_bot_a_o ) )
=> ( A_70 = B_35 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[619]) ).
thf(1228,plain,
( ( ! [A_71: x_a > $o,B_36: x_a > $o] : ( ord_less_eq_a_o @ ( minus_minus_a_o @ A_71 @ B_36 ) @ A_71 ) )
= $true ),
inference(unfold_def,[status(thm)],[620]) ).
thf(1229,plain,
( ( ! [D_5: x_a > $o,B_37: x_a > $o,A_72: x_a > $o,C_23: x_a > $o] :
( ( ord_less_eq_a_o @ A_72 @ C_23 )
=> ( ( ord_less_eq_a_o @ D_5 @ B_37 )
=> ( ord_less_eq_a_o @ ( minus_minus_a_o @ A_72 @ B_37 ) @ ( minus_minus_a_o @ C_23 @ D_5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[623]) ).
thf(1230,plain,
( ( ! [C_24: x_a > $o,A_73: x_a > $o,B_38: x_a > $o] :
( ( ord_less_eq_a_o @ A_73 @ B_38 )
=> ( ( ord_less_eq_a_o @ B_38 @ C_24 )
=> ( ( minus_minus_a_o @ B_38 @ ( minus_minus_a_o @ C_24 @ A_73 ) )
= A_73 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[626]) ).
thf(1231,plain,
( ( ! [A_95: x_a > $o] : ( ord_less_eq_a_o @ bot_bot_a_o @ A_95 ) )
= $true ),
inference(unfold_def,[status(thm)],[705]) ).
thf(1232,plain,
( ( ! [F_23: x_a > $o,G_1: x_a > $o] :
( ! [X_1: x_a] : ( ord_less_eq_o @ ( F_23 @ X_1 ) @ ( G_1 @ X_1 ) )
=> ( ord_less_eq_a_o @ F_23 @ G_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[723]) ).
thf(1233,plain,
( ( ! [B_49: x_a > $o,A_100: x_a > $o] :
( ! [X_1: x_a] :
( ( member_a @ X_1 @ A_100 )
=> ( member_a @ X_1 @ B_49 ) )
=> ( ord_less_eq_a_o @ A_100 @ B_49 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[729]) ).
thf(1234,plain,
( ( ! [F_26: pname > x_a,A_102: pname > $o,B_51: pname > $o] :
( ( ord_less_eq_pname_o @ A_102 @ B_51 )
=> ( ord_less_eq_a_o @ ( image_pname_a @ F_26 @ A_102 ) @ ( image_pname_a @ F_26 @ B_51 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[734]) ).
thf(1235,plain,
( ( ! [B_52: x_a > $o,F_27: pname > x_a,A_103: pname > $o] :
( ( ord_less_eq_a_o @ B_52 @ ( image_pname_a @ F_27 @ A_103 ) )
<=> ? [AA: pname > $o] :
( ( ord_less_eq_pname_o @ AA @ A_103 )
& ( B_52
= ( image_pname_a @ F_27 @ AA ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[736]) ).
thf(1236,plain,
( ( ! [F_28: pname > x_a,X_25: pname,A_104: pname > $o] :
( ( member_pname @ X_25 @ A_104 )
=> ( ( insert_a @ ( F_28 @ X_25 ) @ ( image_pname_a @ F_28 @ A_104 ) )
= ( image_pname_a @ F_28 @ A_104 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[738]) ).
thf(1237,plain,
( ( ! [F_29: pname > x_a,A_105: pname,B_53: pname > $o] :
( ( image_pname_a @ F_29 @ ( insert_pname @ A_105 @ B_53 ) )
= ( insert_a @ ( F_29 @ A_105 ) @ ( image_pname_a @ F_29 @ B_53 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[740]) ).
thf(1238,plain,
( ( ! [A_106: x_a,C_27: x_a > $o,D_7: x_a > $o] :
( ( ord_less_eq_a_o @ C_27 @ D_7 )
=> ( ord_less_eq_a_o @ ( insert_a @ A_106 @ C_27 ) @ ( insert_a @ A_106 @ D_7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[744]) ).
thf(1239,plain,
( ( ! [B_55: x_a,A_107: x_a > $o,B_54: x_a > $o] :
( ( ord_less_eq_a_o @ A_107 @ B_54 )
=> ( ord_less_eq_a_o @ A_107 @ ( insert_a @ B_55 @ B_54 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[747]) ).
thf(1240,plain,
( ( ! [B_56: x_a > $o,X_26: x_a,A_108: x_a > $o] :
( ~ ( member_a @ X_26 @ A_108 )
=> ( ( ord_less_eq_a_o @ A_108 @ ( insert_a @ X_26 @ B_56 ) )
<=> ( ord_less_eq_a_o @ A_108 @ B_56 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[751]) ).
thf(1241,plain,
( ( ! [X_27: x_a,A_109: x_a > $o,B_57: x_a > $o] :
( ( ord_less_eq_a_o @ ( insert_a @ X_27 @ A_109 ) @ B_57 )
<=> ( ( member_a @ X_27 @ B_57 )
& ( ord_less_eq_a_o @ A_109 @ B_57 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[755]) ).
thf(1242,plain,
( ( ! [B_58: x_a > $o,A_110: x_a] : ( ord_less_eq_a_o @ B_58 @ ( insert_a @ A_110 @ B_58 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[758]) ).
thf(1243,plain,
( ( ! [X_28: x_a,F_30: x_a > $o,G_2: x_a > $o] :
( ( ord_less_eq_a_o @ F_30 @ G_2 )
=> ( ord_less_eq_o @ ( F_30 @ X_28 ) @ ( G_2 @ X_28 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[759]) ).
thf(1244,plain,
( ( ! [X_29: x_a,F_31: x_a > $o,G_3: x_a > $o] :
( ( ord_less_eq_a_o @ F_31 @ G_3 )
=> ( ord_less_eq_o @ ( F_31 @ X_29 ) @ ( G_3 @ X_29 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[762]) ).
thf(1245,plain,
( ( ! [F_32: x_a > $o,G_4: x_a > $o] :
( ( ord_less_eq_a_o @ F_32 @ G_4 )
<=> ! [X_1: x_a] : ( ord_less_eq_o @ ( F_32 @ X_1 ) @ ( G_4 @ X_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[765]) ).
thf(1246,plain,
( ( ! [A_114: x_a > $o,B_60: x_a > $o] :
( ( A_114 = B_60 )
=> ~ ( ( ord_less_eq_a_o @ A_114 @ B_60 )
=> ~ ( ord_less_eq_a_o @ B_60 @ A_114 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[778]) ).
thf(1247,plain,
( ( ! [C_28: x_a > $o,A_115: x_a > $o,B_61: x_a > $o] :
( ( ord_less_eq_a_o @ A_115 @ B_61 )
=> ( ( ord_less_eq_a_o @ B_61 @ C_28 )
=> ( ord_less_eq_a_o @ A_115 @ C_28 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[781]) ).
thf(1248,plain,
( ( ! [X_32: x_a,A_116: x_a > $o,B_62: x_a > $o] :
( ( ord_less_eq_a_o @ A_116 @ B_62 )
=> ( ( member_a @ X_32 @ A_116 )
=> ( member_a @ X_32 @ B_62 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[785]) ).
thf(1249,plain,
( ( ! [B_63: x_a > $o,X_33: x_a,A_117: x_a > $o] :
( ( member_a @ X_33 @ A_117 )
=> ( ( ord_less_eq_a_o @ A_117 @ B_63 )
=> ( member_a @ X_33 @ B_63 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[789]) ).
thf(1250,plain,
( ( ! [X_34: x_a,A_118: x_a > $o,B_64: x_a > $o] :
( ( ord_less_eq_a_o @ A_118 @ B_64 )
=> ( ( member_a @ X_34 @ A_118 )
=> ( member_a @ X_34 @ B_64 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[793]) ).
thf(1251,plain,
( ( ! [A_119: x_a > $o,B_65: x_a > $o] :
( ( A_119 = B_65 )
=> ( ord_less_eq_a_o @ B_65 @ A_119 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[796]) ).
thf(1252,plain,
( ( ! [A_120: x_a > $o,B_66: x_a > $o] :
( ( A_120 = B_66 )
=> ( ord_less_eq_a_o @ A_120 @ B_66 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[799]) ).
thf(1253,plain,
( ( ! [A_121: x_a > $o,B_67: x_a > $o] :
( ( A_121 = B_67 )
<=> ( ( ord_less_eq_a_o @ A_121 @ B_67 )
& ( ord_less_eq_a_o @ B_67 @ A_121 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[802]) ).
thf(1254,plain,
( ( ! [A_122: x_a > $o] : ( ord_less_eq_a_o @ A_122 @ A_122 ) )
= $true ),
inference(unfold_def,[status(thm)],[805]) ).
thf(1255,plain,
( ( ! [A_124: x_a,A_123: x_a > $o] :
( ( member_a @ A_124 @ A_123 )
=> ( ( insert_a @ A_124 @ A_123 )
= A_123 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[811]) ).
thf(1256,plain,
( ( ! [B_69: x_a,A_125: x_a,B_68: x_a > $o] :
( ( member_a @ A_125 @ B_68 )
=> ( member_a @ A_125 @ ( insert_a @ B_69 @ B_68 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[815]) ).
thf(1257,plain,
( ( ! [B_70: x_a > $o,X_35: x_a,A_126: x_a > $o] :
( ~ ( member_a @ X_35 @ A_126 )
=> ( ~ ( member_a @ X_35 @ B_70 )
=> ( ( ( insert_a @ X_35 @ A_126 )
= ( insert_a @ X_35 @ B_70 ) )
<=> ( A_126 = B_70 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[819]) ).
thf(1258,plain,
( ( ! [Y_2: x_a,A_127: x_a > $o,X_36: x_a] :
( ( insert_a @ Y_2 @ A_127 @ X_36 )
<=> ( ( Y_2 = X_36 )
| ( A_127 @ X_36 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[820]) ).
thf(1259,plain,
( ( ! [A_129: x_a,B_71: x_a,A_128: x_a > $o] :
( ( member_a @ A_129 @ ( insert_a @ B_71 @ A_128 ) )
<=> ( ( A_129 = B_71 )
| ( member_a @ A_129 @ A_128 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[824]) ).
thf(1260,plain,
( ( ! [X_37: x_a,Y_3: x_a,A_130: x_a > $o] :
( ( insert_a @ X_37 @ ( insert_a @ Y_3 @ A_130 ) )
= ( insert_a @ Y_3 @ ( insert_a @ X_37 @ A_130 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[825]) ).
thf(1261,plain,
( ( ! [X_38: x_a,A_131: x_a > $o] :
( ( insert_a @ X_38 @ ( insert_a @ X_38 @ A_131 ) )
= ( insert_a @ X_38 @ A_131 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[826]) ).
thf(1262,plain,
( ( ! [A_133: x_a,P_11: x_a > $o] :
( ( insert_a @ A_133 @ ( collect_a @ P_11 ) )
= ( collect_a
@ ^ [U_1: x_a] :
( ( U_1 != A_133 )
=> ( P_11 @ U_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[835]) ).
thf(1263,plain,
( ( ! [A_135: x_a,B_73: x_a > $o] : ( member_a @ A_135 @ ( insert_a @ A_135 @ B_73 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[843]) ).
thf(1264,plain,
( ( ! [Z_5: x_a > $o,Y_5: x_a > $o,X_41: x_a > $o] :
( ( ord_less_eq_a_o @ Y_5 @ X_41 )
=> ( ( ord_less_eq_a_o @ Z_5 @ Y_5 )
=> ( ord_less_eq_a_o @ Z_5 @ X_41 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[846]) ).
thf(1265,plain,
( ( ! [Y_6: x_a > $o,X_42: x_a > $o] :
( ( ord_less_eq_a_o @ Y_6 @ X_42 )
=> ( ( ord_less_eq_a_o @ X_42 @ Y_6 )
=> ( X_42 = Y_6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[851]) ).
thf(1266,plain,
( ( ! [Z_6: x_a > $o,X_43: x_a > $o,Y_7: x_a > $o] :
( ( ord_less_eq_a_o @ X_43 @ Y_7 )
=> ( ( ord_less_eq_a_o @ Y_7 @ Z_6 )
=> ( ord_less_eq_a_o @ X_43 @ Z_6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[856]) ).
thf(1267,plain,
( ( ! [X_44: x_a > $o,Y_8: x_a > $o] :
( ( ord_less_eq_a_o @ X_44 @ Y_8 )
=> ( ( ord_less_eq_a_o @ Y_8 @ X_44 )
=> ( X_44 = Y_8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[861]) ).
thf(1268,plain,
( ( ! [C_29: x_a > $o,B_74: x_a > $o,A_136: x_a > $o] :
( ( ord_less_eq_a_o @ B_74 @ A_136 )
=> ( ( B_74 = C_29 )
=> ( ord_less_eq_a_o @ C_29 @ A_136 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[866]) ).
thf(1269,plain,
( ( ! [C_30: x_a > $o,A_137: x_a > $o,B_75: x_a > $o] :
( ( ord_less_eq_a_o @ A_137 @ B_75 )
=> ( ( B_75 = C_30 )
=> ( ord_less_eq_a_o @ A_137 @ C_30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[871]) ).
thf(1270,plain,
( ( ! [C_31: x_a > $o,A_138: x_a > $o,B_76: x_a > $o] :
( ( A_138 = B_76 )
=> ( ( ord_less_eq_a_o @ C_31 @ B_76 )
=> ( ord_less_eq_a_o @ C_31 @ A_138 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[876]) ).
thf(1271,plain,
( ( ! [C_32: x_a > $o,A_139: x_a > $o,B_77: x_a > $o] :
( ( A_139 = B_77 )
=> ( ( ord_less_eq_a_o @ B_77 @ C_32 )
=> ( ord_less_eq_a_o @ A_139 @ C_32 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[881]) ).
thf(1272,plain,
( ( ! [Y_9: x_a > $o,X_45: x_a > $o] :
( ( ord_less_eq_a_o @ Y_9 @ X_45 )
=> ( ( ord_less_eq_a_o @ X_45 @ Y_9 )
<=> ( X_45 = Y_9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[886]) ).
thf(1273,plain,
( ( ! [X_46: x_a > $o,Y_10: x_a > $o] :
( ( X_46 = Y_10 )
=> ( ord_less_eq_a_o @ X_46 @ Y_10 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[891]) ).
thf(1274,plain,
( ( ! [X_47: x_a > $o,Y_11: x_a > $o] :
( ( X_47 = Y_11 )
<=> ( ( ord_less_eq_a_o @ X_47 @ Y_11 )
& ( ord_less_eq_a_o @ Y_11 @ X_47 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[896]) ).
thf(1275,plain,
( ( ! [X_49: x_a > $o] : ( ord_less_eq_a_o @ X_49 @ X_49 ) )
= $true ),
inference(unfold_def,[status(thm)],[903]) ).
thf(1276,plain,
( ( ! [A_141: x_a,B_78: x_a,A_140: x_a > $o] :
( ( member_a @ A_141 @ ( insert_a @ B_78 @ A_140 ) )
=> ( ( A_141 != B_78 )
=> ( member_a @ A_141 @ A_140 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[913]) ).
thf(1277,plain,
( ( ! [B_80: x_a,A_142: x_a,B_79: x_a > $o] :
( ( ~ ( member_a @ A_142 @ B_79 )
=> ( A_142 = B_80 ) )
=> ( member_a @ A_142 @ ( insert_a @ B_80 @ B_79 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[917]) ).
thf(1278,plain,
( ( ! [C_33: x_a,A_143: x_a > $o,B_81: x_a > $o] :
( ( ord_less_eq_a_o @ A_143 @ B_81 )
=> ( ( member_a @ C_33 @ A_143 )
=> ( member_a @ C_33 @ B_81 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[919]) ).
thf(1279,plain,
( ( ! [A_144: x_a > $o,B_82: x_a > $o] :
( ( ord_less_eq_a_o @ A_144 @ B_82 )
=> ( ( ord_less_eq_a_o @ B_82 @ A_144 )
=> ( A_144 = B_82 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[922]) ).
thf(1280,plain,
( ( ! [A_149: x_a > $o,B_86: x_a > $o] :
( ( finite_finite_a @ B_86 )
=> ( ( ord_less_eq_a_o @ A_149 @ B_86 )
=> ( finite_finite_a @ A_149 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1048]) ).
thf(1281,plain,
( ( ! [A_150: x_a > $o,B_87: x_a > $o] :
( ( ord_less_eq_a_o @ A_150 @ B_87 )
=> ( ( finite_finite_a @ B_87 )
=> ( finite_finite_a @ A_150 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1056]) ).
thf(1282,plain,
( ( ! [A_152: x_a,A_151: x_a > $o] :
( ( finite_finite_a @ ( insert_a @ A_152 @ A_151 ) )
<=> ( finite_finite_a @ A_151 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1061]) ).
thf(1283,plain,
( ( ! [A_160: x_a,A_159: x_a > $o] :
( ( finite_finite_a @ A_159 )
=> ( finite_finite_a @ ( insert_a @ A_160 @ A_159 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1161]) ).
thf(1284,plain,
( ( ! [Ts: x_a > $o,G: x_a > $o] :
( ( ord_less_eq_a_o @ Ts @ G )
=> ( p @ G @ Ts ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1208]) ).
thf(1285,plain,
( ( ~ ( member_a @ ( mgt_call @ pn ) @ g ) )
= $true ),
inference(unfold_def,[status(thm)],[1209]) ).
thf(1286,plain,
( ( member_pname @ pn @ u )
= $true ),
inference(unfold_def,[status(thm)],[1210]) ).
thf(1287,plain,
( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
= $true ),
inference(unfold_def,[status(thm)],[1213]) ).
thf(1288,plain,
( ( finite_finite_pname @ u )
= $true ),
inference(unfold_def,[status(thm)],[1214]) ).
thf(1289,plain,
( ( ~ ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[1217]) ).
thf(1290,plain,
( ( finite_finite_pname @ u )
= $true ),
inference(copy,[status(thm)],[1288]) ).
thf(1291,plain,
( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
= $true ),
inference(copy,[status(thm)],[1287]) ).
thf(1292,plain,
( ( member_pname @ pn @ u )
= $true ),
inference(copy,[status(thm)],[1286]) ).
thf(1293,plain,
( ( ~ ( member_a @ ( mgt_call @ pn ) @ g ) )
= $true ),
inference(copy,[status(thm)],[1285]) ).
thf(1294,plain,
( ( ! [Ts: x_a > $o,G: x_a > $o] :
( ( ord_less_eq_a_o @ Ts @ G )
=> ( p @ G @ Ts ) ) )
= $true ),
inference(copy,[status(thm)],[1284]) ).
thf(1295,plain,
( ( ! [A_160: x_a,A_159: x_a > $o] :
( ( finite_finite_a @ A_159 )
=> ( finite_finite_a @ ( insert_a @ A_160 @ A_159 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1283]) ).
thf(1296,plain,
( ( ! [A_152: x_a,A_151: x_a > $o] :
( ( finite_finite_a @ ( insert_a @ A_152 @ A_151 ) )
<=> ( finite_finite_a @ A_151 ) ) )
= $true ),
inference(copy,[status(thm)],[1282]) ).
thf(1297,plain,
( ( ! [A_150: x_a > $o,B_87: x_a > $o] :
( ( ord_less_eq_a_o @ A_150 @ B_87 )
=> ( ( finite_finite_a @ B_87 )
=> ( finite_finite_a @ A_150 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1281]) ).
thf(1298,plain,
( ( ! [A_149: x_a > $o,B_86: x_a > $o] :
( ( finite_finite_a @ B_86 )
=> ( ( ord_less_eq_a_o @ A_149 @ B_86 )
=> ( finite_finite_a @ A_149 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1280]) ).
thf(1299,plain,
( ( ! [A_144: x_a > $o,B_82: x_a > $o] :
( ( ord_less_eq_a_o @ A_144 @ B_82 )
=> ( ( ord_less_eq_a_o @ B_82 @ A_144 )
=> ( A_144 = B_82 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1279]) ).
thf(1300,plain,
( ( ! [C_33: x_a,A_143: x_a > $o,B_81: x_a > $o] :
( ( ord_less_eq_a_o @ A_143 @ B_81 )
=> ( ( member_a @ C_33 @ A_143 )
=> ( member_a @ C_33 @ B_81 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1278]) ).
thf(1301,plain,
( ( ! [B_80: x_a,A_142: x_a,B_79: x_a > $o] :
( ( ~ ( member_a @ A_142 @ B_79 )
=> ( A_142 = B_80 ) )
=> ( member_a @ A_142 @ ( insert_a @ B_80 @ B_79 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1277]) ).
thf(1302,plain,
( ( ! [A_141: x_a,B_78: x_a,A_140: x_a > $o] :
( ( member_a @ A_141 @ ( insert_a @ B_78 @ A_140 ) )
=> ( ( A_141 != B_78 )
=> ( member_a @ A_141 @ A_140 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1276]) ).
thf(1303,plain,
( ( ! [X_49: x_a > $o] : ( ord_less_eq_a_o @ X_49 @ X_49 ) )
= $true ),
inference(copy,[status(thm)],[1275]) ).
thf(1304,plain,
( ( ! [X_47: x_a > $o,Y_11: x_a > $o] :
( ( X_47 = Y_11 )
<=> ( ( ord_less_eq_a_o @ X_47 @ Y_11 )
& ( ord_less_eq_a_o @ Y_11 @ X_47 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1274]) ).
thf(1305,plain,
( ( ! [X_46: x_a > $o,Y_10: x_a > $o] :
( ( X_46 = Y_10 )
=> ( ord_less_eq_a_o @ X_46 @ Y_10 ) ) )
= $true ),
inference(copy,[status(thm)],[1273]) ).
thf(1306,plain,
( ( ! [Y_9: x_a > $o,X_45: x_a > $o] :
( ( ord_less_eq_a_o @ Y_9 @ X_45 )
=> ( ( ord_less_eq_a_o @ X_45 @ Y_9 )
<=> ( X_45 = Y_9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1272]) ).
thf(1307,plain,
( ( ! [C_32: x_a > $o,A_139: x_a > $o,B_77: x_a > $o] :
( ( A_139 = B_77 )
=> ( ( ord_less_eq_a_o @ B_77 @ C_32 )
=> ( ord_less_eq_a_o @ A_139 @ C_32 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1271]) ).
thf(1308,plain,
( ( ! [C_31: x_a > $o,A_138: x_a > $o,B_76: x_a > $o] :
( ( A_138 = B_76 )
=> ( ( ord_less_eq_a_o @ C_31 @ B_76 )
=> ( ord_less_eq_a_o @ C_31 @ A_138 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1270]) ).
thf(1309,plain,
( ( ! [C_30: x_a > $o,A_137: x_a > $o,B_75: x_a > $o] :
( ( ord_less_eq_a_o @ A_137 @ B_75 )
=> ( ( B_75 = C_30 )
=> ( ord_less_eq_a_o @ A_137 @ C_30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1269]) ).
thf(1310,plain,
( ( ! [C_29: x_a > $o,B_74: x_a > $o,A_136: x_a > $o] :
( ( ord_less_eq_a_o @ B_74 @ A_136 )
=> ( ( B_74 = C_29 )
=> ( ord_less_eq_a_o @ C_29 @ A_136 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1268]) ).
thf(1311,plain,
( ( ! [X_44: x_a > $o,Y_8: x_a > $o] :
( ( ord_less_eq_a_o @ X_44 @ Y_8 )
=> ( ( ord_less_eq_a_o @ Y_8 @ X_44 )
=> ( X_44 = Y_8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1267]) ).
thf(1312,plain,
( ( ! [Z_6: x_a > $o,X_43: x_a > $o,Y_7: x_a > $o] :
( ( ord_less_eq_a_o @ X_43 @ Y_7 )
=> ( ( ord_less_eq_a_o @ Y_7 @ Z_6 )
=> ( ord_less_eq_a_o @ X_43 @ Z_6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1266]) ).
thf(1313,plain,
( ( ! [Y_6: x_a > $o,X_42: x_a > $o] :
( ( ord_less_eq_a_o @ Y_6 @ X_42 )
=> ( ( ord_less_eq_a_o @ X_42 @ Y_6 )
=> ( X_42 = Y_6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1265]) ).
thf(1314,plain,
( ( ! [Z_5: x_a > $o,Y_5: x_a > $o,X_41: x_a > $o] :
( ( ord_less_eq_a_o @ Y_5 @ X_41 )
=> ( ( ord_less_eq_a_o @ Z_5 @ Y_5 )
=> ( ord_less_eq_a_o @ Z_5 @ X_41 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1264]) ).
thf(1315,plain,
( ( ! [A_135: x_a,B_73: x_a > $o] : ( member_a @ A_135 @ ( insert_a @ A_135 @ B_73 ) ) )
= $true ),
inference(copy,[status(thm)],[1263]) ).
thf(1316,plain,
( ( ! [A_133: x_a,P_11: x_a > $o] :
( ( insert_a @ A_133 @ ( collect_a @ P_11 ) )
= ( collect_a
@ ^ [U_1: x_a] :
( ( U_1 != A_133 )
=> ( P_11 @ U_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1262]) ).
thf(1317,plain,
( ( ! [X_38: x_a,A_131: x_a > $o] :
( ( insert_a @ X_38 @ ( insert_a @ X_38 @ A_131 ) )
= ( insert_a @ X_38 @ A_131 ) ) )
= $true ),
inference(copy,[status(thm)],[1261]) ).
thf(1318,plain,
( ( ! [X_37: x_a,Y_3: x_a,A_130: x_a > $o] :
( ( insert_a @ X_37 @ ( insert_a @ Y_3 @ A_130 ) )
= ( insert_a @ Y_3 @ ( insert_a @ X_37 @ A_130 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1260]) ).
thf(1319,plain,
( ( ! [A_129: x_a,B_71: x_a,A_128: x_a > $o] :
( ( member_a @ A_129 @ ( insert_a @ B_71 @ A_128 ) )
<=> ( ( A_129 = B_71 )
| ( member_a @ A_129 @ A_128 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1259]) ).
thf(1320,plain,
( ( ! [Y_2: x_a,A_127: x_a > $o,X_36: x_a] :
( ( insert_a @ Y_2 @ A_127 @ X_36 )
<=> ( ( Y_2 = X_36 )
| ( A_127 @ X_36 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1258]) ).
thf(1321,plain,
( ( ! [B_70: x_a > $o,X_35: x_a,A_126: x_a > $o] :
( ~ ( member_a @ X_35 @ A_126 )
=> ( ~ ( member_a @ X_35 @ B_70 )
=> ( ( ( insert_a @ X_35 @ A_126 )
= ( insert_a @ X_35 @ B_70 ) )
<=> ( A_126 = B_70 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1257]) ).
thf(1322,plain,
( ( ! [B_69: x_a,A_125: x_a,B_68: x_a > $o] :
( ( member_a @ A_125 @ B_68 )
=> ( member_a @ A_125 @ ( insert_a @ B_69 @ B_68 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1256]) ).
thf(1323,plain,
( ( ! [A_124: x_a,A_123: x_a > $o] :
( ( member_a @ A_124 @ A_123 )
=> ( ( insert_a @ A_124 @ A_123 )
= A_123 ) ) )
= $true ),
inference(copy,[status(thm)],[1255]) ).
thf(1324,plain,
( ( ! [A_122: x_a > $o] : ( ord_less_eq_a_o @ A_122 @ A_122 ) )
= $true ),
inference(copy,[status(thm)],[1254]) ).
thf(1325,plain,
( ( ! [A_121: x_a > $o,B_67: x_a > $o] :
( ( A_121 = B_67 )
<=> ( ( ord_less_eq_a_o @ A_121 @ B_67 )
& ( ord_less_eq_a_o @ B_67 @ A_121 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1253]) ).
thf(1326,plain,
( ( ! [A_120: x_a > $o,B_66: x_a > $o] :
( ( A_120 = B_66 )
=> ( ord_less_eq_a_o @ A_120 @ B_66 ) ) )
= $true ),
inference(copy,[status(thm)],[1252]) ).
thf(1327,plain,
( ( ! [A_119: x_a > $o,B_65: x_a > $o] :
( ( A_119 = B_65 )
=> ( ord_less_eq_a_o @ B_65 @ A_119 ) ) )
= $true ),
inference(copy,[status(thm)],[1251]) ).
thf(1328,plain,
( ( ! [X_34: x_a,A_118: x_a > $o,B_64: x_a > $o] :
( ( ord_less_eq_a_o @ A_118 @ B_64 )
=> ( ( member_a @ X_34 @ A_118 )
=> ( member_a @ X_34 @ B_64 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1250]) ).
thf(1329,plain,
( ( ! [B_63: x_a > $o,X_33: x_a,A_117: x_a > $o] :
( ( member_a @ X_33 @ A_117 )
=> ( ( ord_less_eq_a_o @ A_117 @ B_63 )
=> ( member_a @ X_33 @ B_63 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1249]) ).
thf(1330,plain,
( ( ! [X_32: x_a,A_116: x_a > $o,B_62: x_a > $o] :
( ( ord_less_eq_a_o @ A_116 @ B_62 )
=> ( ( member_a @ X_32 @ A_116 )
=> ( member_a @ X_32 @ B_62 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1248]) ).
thf(1331,plain,
( ( ! [C_28: x_a > $o,A_115: x_a > $o,B_61: x_a > $o] :
( ( ord_less_eq_a_o @ A_115 @ B_61 )
=> ( ( ord_less_eq_a_o @ B_61 @ C_28 )
=> ( ord_less_eq_a_o @ A_115 @ C_28 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1247]) ).
thf(1332,plain,
( ( ! [A_114: x_a > $o,B_60: x_a > $o] :
( ( A_114 = B_60 )
=> ~ ( ( ord_less_eq_a_o @ A_114 @ B_60 )
=> ~ ( ord_less_eq_a_o @ B_60 @ A_114 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1246]) ).
thf(1333,plain,
( ( ! [F_32: x_a > $o,G_4: x_a > $o] :
( ( ord_less_eq_a_o @ F_32 @ G_4 )
<=> ! [X_1: x_a] : ( ord_less_eq_o @ ( F_32 @ X_1 ) @ ( G_4 @ X_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1245]) ).
thf(1334,plain,
( ( ! [X_29: x_a,F_31: x_a > $o,G_3: x_a > $o] :
( ( ord_less_eq_a_o @ F_31 @ G_3 )
=> ( ord_less_eq_o @ ( F_31 @ X_29 ) @ ( G_3 @ X_29 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1244]) ).
thf(1335,plain,
( ( ! [X_28: x_a,F_30: x_a > $o,G_2: x_a > $o] :
( ( ord_less_eq_a_o @ F_30 @ G_2 )
=> ( ord_less_eq_o @ ( F_30 @ X_28 ) @ ( G_2 @ X_28 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1243]) ).
thf(1336,plain,
( ( ! [B_58: x_a > $o,A_110: x_a] : ( ord_less_eq_a_o @ B_58 @ ( insert_a @ A_110 @ B_58 ) ) )
= $true ),
inference(copy,[status(thm)],[1242]) ).
thf(1337,plain,
( ( ! [X_27: x_a,A_109: x_a > $o,B_57: x_a > $o] :
( ( ord_less_eq_a_o @ ( insert_a @ X_27 @ A_109 ) @ B_57 )
<=> ( ( member_a @ X_27 @ B_57 )
& ( ord_less_eq_a_o @ A_109 @ B_57 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1241]) ).
thf(1338,plain,
( ( ! [B_56: x_a > $o,X_26: x_a,A_108: x_a > $o] :
( ~ ( member_a @ X_26 @ A_108 )
=> ( ( ord_less_eq_a_o @ A_108 @ ( insert_a @ X_26 @ B_56 ) )
<=> ( ord_less_eq_a_o @ A_108 @ B_56 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1240]) ).
thf(1339,plain,
( ( ! [B_55: x_a,A_107: x_a > $o,B_54: x_a > $o] :
( ( ord_less_eq_a_o @ A_107 @ B_54 )
=> ( ord_less_eq_a_o @ A_107 @ ( insert_a @ B_55 @ B_54 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1239]) ).
thf(1340,plain,
( ( ! [A_106: x_a,C_27: x_a > $o,D_7: x_a > $o] :
( ( ord_less_eq_a_o @ C_27 @ D_7 )
=> ( ord_less_eq_a_o @ ( insert_a @ A_106 @ C_27 ) @ ( insert_a @ A_106 @ D_7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1238]) ).
thf(1341,plain,
( ( ! [F_29: pname > x_a,A_105: pname,B_53: pname > $o] :
( ( image_pname_a @ F_29 @ ( insert_pname @ A_105 @ B_53 ) )
= ( insert_a @ ( F_29 @ A_105 ) @ ( image_pname_a @ F_29 @ B_53 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1237]) ).
thf(1342,plain,
( ( ! [F_28: pname > x_a,X_25: pname,A_104: pname > $o] :
( ( member_pname @ X_25 @ A_104 )
=> ( ( insert_a @ ( F_28 @ X_25 ) @ ( image_pname_a @ F_28 @ A_104 ) )
= ( image_pname_a @ F_28 @ A_104 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1236]) ).
thf(1343,plain,
( ( ! [B_52: x_a > $o,F_27: pname > x_a,A_103: pname > $o] :
( ( ord_less_eq_a_o @ B_52 @ ( image_pname_a @ F_27 @ A_103 ) )
<=> ? [AA: pname > $o] :
( ( ord_less_eq_pname_o @ AA @ A_103 )
& ( B_52
= ( image_pname_a @ F_27 @ AA ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1235]) ).
thf(1344,plain,
( ( ! [F_26: pname > x_a,A_102: pname > $o,B_51: pname > $o] :
( ( ord_less_eq_pname_o @ A_102 @ B_51 )
=> ( ord_less_eq_a_o @ ( image_pname_a @ F_26 @ A_102 ) @ ( image_pname_a @ F_26 @ B_51 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1234]) ).
thf(1345,plain,
( ( ! [B_49: x_a > $o,A_100: x_a > $o] :
( ! [X_1: x_a] :
( ( member_a @ X_1 @ A_100 )
=> ( member_a @ X_1 @ B_49 ) )
=> ( ord_less_eq_a_o @ A_100 @ B_49 ) ) )
= $true ),
inference(copy,[status(thm)],[1233]) ).
thf(1346,plain,
( ( ! [F_23: x_a > $o,G_1: x_a > $o] :
( ! [X_1: x_a] : ( ord_less_eq_o @ ( F_23 @ X_1 ) @ ( G_1 @ X_1 ) )
=> ( ord_less_eq_a_o @ F_23 @ G_1 ) ) )
= $true ),
inference(copy,[status(thm)],[1232]) ).
thf(1347,plain,
( ( ! [A_95: x_a > $o] : ( ord_less_eq_a_o @ bot_bot_a_o @ A_95 ) )
= $true ),
inference(copy,[status(thm)],[1231]) ).
thf(1348,plain,
( ( ! [C_24: x_a > $o,A_73: x_a > $o,B_38: x_a > $o] :
( ( ord_less_eq_a_o @ A_73 @ B_38 )
=> ( ( ord_less_eq_a_o @ B_38 @ C_24 )
=> ( ( minus_minus_a_o @ B_38 @ ( minus_minus_a_o @ C_24 @ A_73 ) )
= A_73 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1230]) ).
thf(1349,plain,
( ( ! [D_5: x_a > $o,B_37: x_a > $o,A_72: x_a > $o,C_23: x_a > $o] :
( ( ord_less_eq_a_o @ A_72 @ C_23 )
=> ( ( ord_less_eq_a_o @ D_5 @ B_37 )
=> ( ord_less_eq_a_o @ ( minus_minus_a_o @ A_72 @ B_37 ) @ ( minus_minus_a_o @ C_23 @ D_5 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1229]) ).
thf(1350,plain,
( ( ! [A_71: x_a > $o,B_36: x_a > $o] : ( ord_less_eq_a_o @ ( minus_minus_a_o @ A_71 @ B_36 ) @ A_71 ) )
= $true ),
inference(copy,[status(thm)],[1228]) ).
thf(1351,plain,
( ( ! [A_70: x_a,B_35: x_a] :
( ( ( insert_a @ A_70 @ bot_bot_a_o )
= ( insert_a @ B_35 @ bot_bot_a_o ) )
=> ( A_70 = B_35 ) ) )
= $true ),
inference(copy,[status(thm)],[1227]) ).
thf(1352,plain,
( ( ! [A_68: x_a,B_33: x_a,C_22: x_a,D_4: x_a] :
( ( ( insert_a @ A_68 @ ( insert_a @ B_33 @ bot_bot_a_o ) )
= ( insert_a @ C_22 @ ( insert_a @ D_4 @ bot_bot_a_o ) ) )
<=> ( ( ( A_68 = C_22 )
& ( B_33 = D_4 ) )
| ( ( A_68 = D_4 )
& ( B_33 = C_22 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1226]) ).
thf(1353,plain,
( ( ! [A_66: x_a,A_65: x_a > $o] :
( ( insert_a @ A_66 @ A_65 )
!= bot_bot_a_o ) )
= $true ),
inference(copy,[status(thm)],[1225]) ).
thf(1354,plain,
( ( ! [A_64: x_a,A_63: x_a > $o] :
( bot_bot_a_o
!= ( insert_a @ A_64 @ A_63 ) ) )
= $true ),
inference(copy,[status(thm)],[1224]) ).
thf(1355,plain,
( ( ! [A_62: x_a > $o] :
( ( ord_less_eq_a_o @ A_62 @ bot_bot_a_o )
<=> ( A_62 = bot_bot_a_o ) ) )
= $true ),
inference(copy,[status(thm)],[1223]) ).
thf(1356,plain,
( ( ! [A_59: x_a > $o] :
( ( ord_less_eq_a_o @ A_59 @ bot_bot_a_o )
=> ( A_59 = bot_bot_a_o ) ) )
= $true ),
inference(copy,[status(thm)],[1222]) ).
thf(1357,plain,
( ( ! [A_58: x_a > $o] :
( ( ord_less_eq_a_o @ A_58 @ bot_bot_a_o )
<=> ( A_58 = bot_bot_a_o ) ) )
= $true ),
inference(copy,[status(thm)],[1221]) ).
thf(1358,plain,
( ( ! [A_57: x_a > $o] : ( ord_less_eq_a_o @ bot_bot_a_o @ A_57 ) )
= $true ),
inference(copy,[status(thm)],[1220]) ).
thf(1359,plain,
( ( ! [A_46: x_a > $o,X_15: x_a] :
( ( ord_less_eq_a_o @ A_46 @ ( insert_a @ X_15 @ bot_bot_a_o ) )
=> ( ( A_46 = bot_bot_a_o )
| ( A_46
= ( insert_a @ X_15 @ bot_bot_a_o ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1219]) ).
thf(1360,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[1218]) ).
thf(1361,plain,
( ( ~ ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) ) )
= $true ),
inference(copy,[status(thm)],[1289]) ).
thf(1362,plain,
( ( ! [SX0: x_a,SX1: x_a > $o] :
( ( insert_a @ SX0 @ SX1 )
!= bot_bot_a_o ) )
= $true ),
inference(unfold_def,[status(thm)],[1353]) ).
thf(1363,plain,
( ( ! [SX0: x_a > $o,SX1: x_a,SX2: x_a > $o] :
( ~ ( member_a @ SX1 @ SX2 )
| ~ ( ord_less_eq_a_o @ SX2 @ SX0 )
| ( member_a @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1329]) ).
thf(1364,plain,
( ( ! [SX0: x_a > $o,SX1: x_a,SX2: x_a > $o] :
( ~ ~ ( member_a @ SX1 @ SX2 )
| ~ ~ ( member_a @ SX1 @ SX0 )
| ~ ( ~ ( ( ( insert_a @ SX1 @ SX2 )
!= ( insert_a @ SX1 @ SX0 ) )
| ( SX2 = SX0 ) )
| ~ ( ( SX2 != SX0 )
| ( ( insert_a @ SX1 @ SX2 )
= ( insert_a @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1321]) ).
thf(1365,plain,
( ( ! [SX0: x_a,SX1: x_a,SX2: x_a > $o] :
( ~ ( ~ ~ ( member_a @ SX1 @ SX2 )
| ( SX1 = SX0 ) )
| ( member_a @ SX1 @ ( insert_a @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1301]) ).
thf(1366,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o,SX2: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SX1 @ SX2 )
| ~ ( ord_less_eq_a_o @ SX2 @ SX0 )
| ( ord_less_eq_a_o @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1331]) ).
thf(1367,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o] :
~ ( ~ ( ( SX0 != SX1 )
| ~ ( ~ ( ord_less_eq_a_o @ SX0 @ SX1 )
| ~ ( ord_less_eq_a_o @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SX0 @ SX1 )
| ~ ( ord_less_eq_a_o @ SX1 @ SX0 ) )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1304]) ).
thf(1368,plain,
( ( ! [SX0: x_a,SX1: x_a] :
( ( ( insert_a @ SX0 @ bot_bot_a_o )
!= ( insert_a @ SX1 @ bot_bot_a_o ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1351]) ).
thf(1369,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o] :
( ~ ! [SX2: x_a] :
( ~ ( member_a @ SX2 @ SX1 )
| ( member_a @ SX2 @ SX0 ) )
| ( ord_less_eq_a_o @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1345]) ).
thf(1370,plain,
( ( ! [SX0: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SX0 @ bot_bot_a_o )
| ( SX0 = bot_bot_a_o ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1356]) ).
thf(1371,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SX0 @ SX1 )
| ( p @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1294]) ).
thf(1372,plain,
( ( ! [SX0: x_a > $o] :
~ ( ~ ( ~ ( ord_less_eq_a_o @ SX0 @ bot_bot_a_o )
| ( SX0 = bot_bot_a_o ) )
| ~ ( ( SX0 != bot_bot_a_o )
| ( ord_less_eq_a_o @ SX0 @ bot_bot_a_o ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1357]) ).
thf(1373,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o,SX2: x_a > $o] :
( ( SX1 != SX2 )
| ~ ( ord_less_eq_a_o @ SX2 @ SX0 )
| ( ord_less_eq_a_o @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1307]) ).
thf(1374,plain,
( ( ! [SX0: x_a,SX1: x_a,SX2: x_a > $o] :
( ~ ( member_a @ SX1 @ SX2 )
| ( member_a @ SX1 @ ( insert_a @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1322]) ).
thf(1375,plain,
( ( ! [SX0: x_a > $o] :
~ ( ~ ( ~ ( ord_less_eq_a_o @ SX0 @ bot_bot_a_o )
| ( SX0 = bot_bot_a_o ) )
| ~ ( ( SX0 != bot_bot_a_o )
| ( ord_less_eq_a_o @ SX0 @ bot_bot_a_o ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1355]) ).
thf(1376,plain,
( ( ! [SX0: x_a,SX1: x_a,SX2: x_a > $o] :
( ~ ( member_a @ SX0 @ ( insert_a @ SX1 @ SX2 ) )
| ~ ( ( SX0 != SX1 ) )
| ( member_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1302]) ).
thf(1377,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o,SX2: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SX1 @ SX2 )
| ~ ( ord_less_eq_a_o @ SX0 @ SX1 )
| ( ord_less_eq_a_o @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1314]) ).
thf(1378,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o,SX2: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SX1 @ SX2 )
| ( SX1 != SX0 )
| ( ord_less_eq_a_o @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1310]) ).
thf(1379,plain,
( ( ! [SX0: x_a,SX1: x_a > $o] :
( ( insert_a @ SX0 @ ( collect_a @ SX1 ) )
= ( collect_a
@ ^ [SX2: x_a] :
( ~ ( ( SX2 != SX0 ) )
| ( SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1316]) ).
thf(1380,plain,
( ( ! [SX0: x_a,SX1: x_a,SX2: x_a,SX3: x_a] :
~ ( ~ ( ( ( insert_a @ SX0 @ ( insert_a @ SX1 @ bot_bot_a_o ) )
!= ( insert_a @ SX2 @ ( insert_a @ SX3 @ bot_bot_a_o ) ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) )
| ~ ( ( SX0 != SX3 )
| ( SX1 != SX2 ) ) )
| ~ ( ~ ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) )
| ~ ( ( SX0 != SX3 )
| ( SX1 != SX2 ) ) )
| ( ( insert_a @ SX0 @ ( insert_a @ SX1 @ bot_bot_a_o ) )
= ( insert_a @ SX2 @ ( insert_a @ SX3 @ bot_bot_a_o ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1352]) ).
thf(1381,plain,
( ( ! [SX0: x_a,SX1: x_a > $o] :
~ ( ~ ( ~ ( finite_finite_a @ ( insert_a @ SX0 @ SX1 ) )
| ( finite_finite_a @ SX1 ) )
| ~ ( ~ ( finite_finite_a @ SX1 )
| ( finite_finite_a @ ( insert_a @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1296]) ).
thf(1382,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o] :
~ ( ~ ( ~ ( ord_less_eq_a_o @ SX0 @ SX1 )
| ! [SX2: x_a] : ( ord_less_eq_o @ ( SX0 @ SX2 ) @ ( SX1 @ SX2 ) ) )
| ~ ( ~ ! [SX2: x_a] : ( ord_less_eq_o @ ( SX0 @ SX2 ) @ ( SX1 @ SX2 ) )
| ( ord_less_eq_a_o @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1333]) ).
thf(1383,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SX0 @ SX1 )
| ~ ( ord_less_eq_a_o @ SX1 @ SX0 )
| ( SX1 = SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1313]) ).
thf(1384,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o,SX2: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SX1 @ SX2 )
| ~ ( ord_less_eq_a_o @ SX2 @ SX0 )
| ( ord_less_eq_a_o @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1312]) ).
thf(1385,plain,
( ( ! [SX0: x_a,SX1: x_a > $o,SX2: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SX1 @ SX2 )
| ( ord_less_eq_o @ ( SX1 @ SX0 ) @ ( SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1334]) ).
thf(1386,plain,
( ( ! [SX0: x_a,SX1: x_a > $o,SX2: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SX1 @ SX2 )
| ~ ( member_a @ SX0 @ SX1 )
| ( member_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1330]) ).
thf(1387,plain,
( ( ! [SX0: x_a,SX1: x_a > $o,SX2: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SX1 @ SX2 )
| ( ord_less_eq_a_o @ ( insert_a @ SX0 @ SX1 ) @ ( insert_a @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1340]) ).
thf(1388,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o,SX2: x_a > $o,SX3: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SX2 @ SX3 )
| ~ ( ord_less_eq_a_o @ SX0 @ SX1 )
| ( ord_less_eq_a_o @ ( minus_minus_a_o @ SX2 @ SX1 ) @ ( minus_minus_a_o @ SX3 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1349]) ).
thf(1389,plain,
( ( ! [SX0: x_a > $o,SX1: x_a,SX2: x_a > $o] :
( ~ ~ ( member_a @ SX1 @ SX2 )
| ~ ( ~ ( ~ ( ord_less_eq_a_o @ SX2 @ ( insert_a @ SX1 @ SX0 ) )
| ( ord_less_eq_a_o @ SX2 @ SX0 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SX2 @ SX0 )
| ( ord_less_eq_a_o @ SX2 @ ( insert_a @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1338]) ).
thf(1390,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o,SX2: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SX1 @ SX2 )
| ( SX2 != SX0 )
| ( ord_less_eq_a_o @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1309]) ).
thf(1391,plain,
( ( ! [SX0: x_a,SX1: x_a > $o] :
( ~ ( member_a @ SX0 @ SX1 )
| ( ( insert_a @ SX0 @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1323]) ).
thf(1392,plain,
( ( ! [SX0: pname > x_a,SX1: pname > $o,SX2: pname > $o] :
( ~ ( ord_less_eq_pname_o @ SX1 @ SX2 )
| ( ord_less_eq_a_o @ ( image_pname_a @ SX0 @ SX1 ) @ ( image_pname_a @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1344]) ).
thf(1393,plain,
( ( ! [SX0: x_a > $o,SX1: x_a] :
( ~ ( ord_less_eq_a_o @ SX0 @ ( insert_a @ SX1 @ bot_bot_a_o ) )
| ( SX0 = bot_bot_a_o )
| ( SX0
= ( insert_a @ SX1 @ bot_bot_a_o ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1359]) ).
thf(1394,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o,SX2: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SX1 @ SX2 )
| ~ ( ord_less_eq_a_o @ SX2 @ SX0 )
| ( ( minus_minus_a_o @ SX2 @ ( minus_minus_a_o @ SX0 @ SX1 ) )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1348]) ).
thf(1395,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o] :
( ( SX0 != SX1 )
| ( ord_less_eq_a_o @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1327]) ).
thf(1396,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o] :
( ~ ! [SX2: x_a] : ( ord_less_eq_o @ ( SX0 @ SX2 ) @ ( SX1 @ SX2 ) )
| ( ord_less_eq_a_o @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1346]) ).
thf(1397,plain,
( ( ! [SX0: x_a,SX1: x_a > $o] :
( bot_bot_a_o
!= ( insert_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1354]) ).
thf(1398,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o] :
( ~ ( finite_finite_a @ SX1 )
| ~ ( ord_less_eq_a_o @ SX0 @ SX1 )
| ( finite_finite_a @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1298]) ).
thf(1399,plain,
( ( ! [SX0: x_a,SX1: x_a > $o,SX2: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SX1 @ SX2 )
| ~ ( member_a @ SX0 @ SX1 )
| ( member_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1328]) ).
thf(1400,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o,SX2: x_a > $o] :
( ( SX1 != SX2 )
| ~ ( ord_less_eq_a_o @ SX0 @ SX2 )
| ( ord_less_eq_a_o @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1308]) ).
thf(1401,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o] :
( ( SX0 != SX1 )
| ( ord_less_eq_a_o @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1326]) ).
thf(1402,plain,
( ( ! [SX0: x_a,SX1: x_a > $o,SX2: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SX1 @ SX2 )
| ~ ( member_a @ SX0 @ SX1 )
| ( member_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1300]) ).
thf(1403,plain,
( ( ! [SX0: x_a,SX1: x_a,SX2: x_a > $o] :
~ ( ~ ( ~ ( member_a @ SX0 @ ( insert_a @ SX1 @ SX2 ) )
| ( SX0 = SX1 )
| ( member_a @ SX0 @ SX2 ) )
| ~ ( ~ ( ( SX0 = SX1 )
| ( member_a @ SX0 @ SX2 ) )
| ( member_a @ SX0 @ ( insert_a @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1319]) ).
thf(1404,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SX0 @ SX1 )
| ~ ( finite_finite_a @ SX1 )
| ( finite_finite_a @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1297]) ).
thf(1405,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o] :
~ ( ~ ( ( SX0 != SX1 )
| ~ ( ~ ( ord_less_eq_a_o @ SX0 @ SX1 )
| ~ ( ord_less_eq_a_o @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SX0 @ SX1 )
| ~ ( ord_less_eq_a_o @ SX1 @ SX0 ) )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1325]) ).
thf(1406,plain,
( ( ! [SX0: x_a,SX1: x_a > $o] :
( ~ ( finite_finite_a @ SX1 )
| ( finite_finite_a @ ( insert_a @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1295]) ).
thf(1407,plain,
( ( ! [SX0: pname > x_a,SX1: pname,SX2: pname > $o] :
( ~ ( member_pname @ SX1 @ SX2 )
| ( ( insert_a @ ( SX0 @ SX1 ) @ ( image_pname_a @ SX0 @ SX2 ) )
= ( image_pname_a @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1342]) ).
thf(1408,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o] :
( ( SX0 != SX1 )
| ( ord_less_eq_a_o @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1305]) ).
thf(1409,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SX0 @ SX1 )
| ~ ( ~ ( ~ ( ord_less_eq_a_o @ SX1 @ SX0 )
| ( SX1 = SX0 ) )
| ~ ( ( SX1 != SX0 )
| ( ord_less_eq_a_o @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1306]) ).
thf(1410,plain,
( ( ! [SX0: x_a,SX1: x_a > $o,SX2: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SX1 @ SX2 )
| ( ord_less_eq_o @ ( SX1 @ SX0 ) @ ( SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1335]) ).
thf(1411,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SX0 @ SX1 )
| ~ ( ord_less_eq_a_o @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1299]) ).
thf(1412,plain,
( ( ! [SX0: x_a,SX1: x_a > $o,SX2: x_a] :
~ ( ~ ( ~ ( insert_a @ SX0 @ SX1 @ SX2 )
| ( SX0 = SX2 )
| ( SX1 @ SX2 ) )
| ~ ( ~ ( ( SX0 = SX2 )
| ( SX1 @ SX2 ) )
| ( insert_a @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1320]) ).
thf(1413,plain,
( ( ! [SX0: x_a > $o,SX1: pname > x_a,SX2: pname > $o] :
~ ( ~ ( ~ ( ord_less_eq_a_o @ SX0 @ ( image_pname_a @ SX1 @ SX2 ) )
| ~ ! [SX3: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SX3 @ SX2 )
| ( SX0
!= ( image_pname_a @ SX1 @ SX3 ) ) ) )
| ~ ( ~ ~ ! [SX3: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SX3 @ SX2 )
| ( SX0
!= ( image_pname_a @ SX1 @ SX3 ) ) )
| ( ord_less_eq_a_o @ SX0 @ ( image_pname_a @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1343]) ).
thf(1414,plain,
( ( ! [SX0: x_a,SX1: x_a > $o,SX2: x_a > $o] :
~ ( ~ ( ~ ( ord_less_eq_a_o @ ( insert_a @ SX0 @ SX1 ) @ SX2 )
| ~ ( ~ ( member_a @ SX0 @ SX2 )
| ~ ( ord_less_eq_a_o @ SX1 @ SX2 ) ) )
| ~ ( ~ ~ ( ~ ( member_a @ SX0 @ SX2 )
| ~ ( ord_less_eq_a_o @ SX1 @ SX2 ) )
| ( ord_less_eq_a_o @ ( insert_a @ SX0 @ SX1 ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1337]) ).
thf(1415,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o] :
( ( SX0 != SX1 )
| ~ ( ~ ( ord_less_eq_a_o @ SX0 @ SX1 )
| ~ ( ord_less_eq_a_o @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1332]) ).
thf(1416,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SX0 @ SX1 )
| ~ ( ord_less_eq_a_o @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1311]) ).
thf(1417,plain,
( ( ! [SX0: x_a,SX1: x_a > $o,SX2: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SX1 @ SX2 )
| ( ord_less_eq_a_o @ SX1 @ ( insert_a @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1339]) ).
thf(1418,plain,
( ( member_a @ ( mgt_call @ pn ) @ g )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1293]) ).
thf(1419,plain,
! [SV1: x_a > $o] :
( ( ord_less_eq_a_o @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1303]) ).
thf(1420,plain,
! [SV2: x_a] :
( ( ! [SY164: x_a > $o] : ( member_a @ SV2 @ ( insert_a @ SV2 @ SY164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1315]) ).
thf(1421,plain,
! [SV3: x_a] :
( ( ! [SY165: x_a > $o] :
( ( insert_a @ SV3 @ ( insert_a @ SV3 @ SY165 ) )
= ( insert_a @ SV3 @ SY165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1317]) ).
thf(1422,plain,
! [SV4: x_a] :
( ( ! [SY166: x_a,SY167: x_a > $o] :
( ( insert_a @ SV4 @ ( insert_a @ SY166 @ SY167 ) )
= ( insert_a @ SY166 @ ( insert_a @ SV4 @ SY167 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1318]) ).
thf(1423,plain,
! [SV5: x_a > $o] :
( ( ord_less_eq_a_o @ SV5 @ SV5 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1324]) ).
thf(1424,plain,
! [SV6: x_a > $o] :
( ( ! [SY168: x_a] : ( ord_less_eq_a_o @ SV6 @ ( insert_a @ SY168 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1336]) ).
thf(1425,plain,
! [SV7: pname > x_a] :
( ( ! [SY169: pname,SY170: pname > $o] :
( ( image_pname_a @ SV7 @ ( insert_pname @ SY169 @ SY170 ) )
= ( insert_a @ ( SV7 @ SY169 ) @ ( image_pname_a @ SV7 @ SY170 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1341]) ).
thf(1426,plain,
! [SV8: x_a > $o] :
( ( ord_less_eq_a_o @ bot_bot_a_o @ SV8 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1347]) ).
thf(1427,plain,
! [SV9: x_a > $o] :
( ( ! [SY171: x_a > $o] : ( ord_less_eq_a_o @ ( minus_minus_a_o @ SV9 @ SY171 ) @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1350]) ).
thf(1428,plain,
! [SV10: x_a > $o] :
( ( ord_less_eq_a_o @ bot_bot_a_o @ SV10 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1358]) ).
thf(1429,plain,
! [SV11: $o] :
( ( ( SV11 = $true )
| ( SV11 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[1360]) ).
thf(1430,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[1360]) ).
thf(1431,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[1360]) ).
thf(1432,plain,
( ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1361]) ).
thf(1433,plain,
! [SV12: x_a] :
( ( ! [SY172: x_a > $o] :
( ( insert_a @ SV12 @ SY172 )
!= bot_bot_a_o ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1362]) ).
thf(1434,plain,
! [SV13: x_a > $o] :
( ( ! [SY173: x_a,SY174: x_a > $o] :
( ~ ( member_a @ SY173 @ SY174 )
| ~ ( ord_less_eq_a_o @ SY174 @ SV13 )
| ( member_a @ SY173 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1363]) ).
thf(1435,plain,
! [SV14: x_a > $o] :
( ( ! [SY175: x_a,SY176: x_a > $o] :
( ~ ~ ( member_a @ SY175 @ SY176 )
| ~ ~ ( member_a @ SY175 @ SV14 )
| ~ ( ~ ( ( ( insert_a @ SY175 @ SY176 )
!= ( insert_a @ SY175 @ SV14 ) )
| ( SY176 = SV14 ) )
| ~ ( ( SY176 != SV14 )
| ( ( insert_a @ SY175 @ SY176 )
= ( insert_a @ SY175 @ SV14 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1364]) ).
thf(1436,plain,
! [SV15: x_a] :
( ( ! [SY177: x_a,SY178: x_a > $o] :
( ~ ( ~ ~ ( member_a @ SY177 @ SY178 )
| ( SY177 = SV15 ) )
| ( member_a @ SY177 @ ( insert_a @ SV15 @ SY178 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1365]) ).
thf(1437,plain,
! [SV16: x_a > $o] :
( ( ! [SY179: x_a > $o,SY180: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY179 @ SY180 )
| ~ ( ord_less_eq_a_o @ SY180 @ SV16 )
| ( ord_less_eq_a_o @ SY179 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1366]) ).
thf(1438,plain,
! [SV17: x_a > $o] :
( ( ! [SY181: x_a > $o] :
~ ( ~ ( ( SV17 != SY181 )
| ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SY181 )
| ~ ( ord_less_eq_a_o @ SY181 @ SV17 ) ) )
| ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SY181 )
| ~ ( ord_less_eq_a_o @ SY181 @ SV17 ) )
| ( SV17 = SY181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1367]) ).
thf(1439,plain,
! [SV18: x_a] :
( ( ! [SY182: x_a] :
( ( ( insert_a @ SV18 @ bot_bot_a_o )
!= ( insert_a @ SY182 @ bot_bot_a_o ) )
| ( SV18 = SY182 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1368]) ).
thf(1440,plain,
! [SV19: x_a > $o] :
( ( ! [SY183: x_a > $o] :
( ~ ! [SY184: x_a] :
( ~ ( member_a @ SY184 @ SY183 )
| ( member_a @ SY184 @ SV19 ) )
| ( ord_less_eq_a_o @ SY183 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1369]) ).
thf(1441,plain,
! [SV20: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o )
| ( SV20 = bot_bot_a_o ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1370]) ).
thf(1442,plain,
! [SV21: x_a > $o] :
( ( ! [SY185: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV21 @ SY185 )
| ( p @ SY185 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1371]) ).
thf(1443,plain,
! [SV22: x_a > $o] :
( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
| ( SV22 = bot_bot_a_o ) )
| ~ ( ( SV22 != bot_bot_a_o )
| ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1372]) ).
thf(1444,plain,
! [SV23: x_a > $o] :
( ( ! [SY186: x_a > $o,SY187: x_a > $o] :
( ( SY186 != SY187 )
| ~ ( ord_less_eq_a_o @ SY187 @ SV23 )
| ( ord_less_eq_a_o @ SY186 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1373]) ).
thf(1445,plain,
! [SV24: x_a] :
( ( ! [SY188: x_a,SY189: x_a > $o] :
( ~ ( member_a @ SY188 @ SY189 )
| ( member_a @ SY188 @ ( insert_a @ SV24 @ SY189 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1374]) ).
thf(1446,plain,
! [SV25: x_a > $o] :
( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
| ( SV25 = bot_bot_a_o ) )
| ~ ( ( SV25 != bot_bot_a_o )
| ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1375]) ).
thf(1447,plain,
! [SV26: x_a] :
( ( ! [SY190: x_a,SY191: x_a > $o] :
( ~ ( member_a @ SV26 @ ( insert_a @ SY190 @ SY191 ) )
| ~ ( ( SV26 != SY190 ) )
| ( member_a @ SV26 @ SY191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1376]) ).
thf(1448,plain,
! [SV27: x_a > $o] :
( ( ! [SY192: x_a > $o,SY193: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY192 @ SY193 )
| ~ ( ord_less_eq_a_o @ SV27 @ SY192 )
| ( ord_less_eq_a_o @ SV27 @ SY193 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1377]) ).
thf(1449,plain,
! [SV28: x_a > $o] :
( ( ! [SY194: x_a > $o,SY195: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY194 @ SY195 )
| ( SY194 != SV28 )
| ( ord_less_eq_a_o @ SV28 @ SY195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1378]) ).
thf(1450,plain,
! [SV29: x_a] :
( ( ! [SY196: x_a > $o] :
( ( insert_a @ SV29 @ ( collect_a @ SY196 ) )
= ( collect_a
@ ^ [SY197: x_a] :
( ~ ( ( SY197 != SV29 ) )
| ( SY196 @ SY197 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1379]) ).
thf(1451,plain,
! [SV30: x_a] :
( ( ! [SY198: x_a,SY199: x_a,SY200: x_a] :
~ ( ~ ( ( ( insert_a @ SV30 @ ( insert_a @ SY198 @ bot_bot_a_o ) )
!= ( insert_a @ SY199 @ ( insert_a @ SY200 @ bot_bot_a_o ) ) )
| ~ ( ( SV30 != SY199 )
| ( SY198 != SY200 ) )
| ~ ( ( SV30 != SY200 )
| ( SY198 != SY199 ) ) )
| ~ ( ~ ( ~ ( ( SV30 != SY199 )
| ( SY198 != SY200 ) )
| ~ ( ( SV30 != SY200 )
| ( SY198 != SY199 ) ) )
| ( ( insert_a @ SV30 @ ( insert_a @ SY198 @ bot_bot_a_o ) )
= ( insert_a @ SY199 @ ( insert_a @ SY200 @ bot_bot_a_o ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1380]) ).
thf(1452,plain,
! [SV31: x_a] :
( ( ! [SY201: x_a > $o] :
~ ( ~ ( ~ ( finite_finite_a @ ( insert_a @ SV31 @ SY201 ) )
| ( finite_finite_a @ SY201 ) )
| ~ ( ~ ( finite_finite_a @ SY201 )
| ( finite_finite_a @ ( insert_a @ SV31 @ SY201 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1381]) ).
thf(1453,plain,
! [SV32: x_a > $o] :
( ( ! [SY202: x_a > $o] :
~ ( ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SY202 )
| ! [SY203: x_a] : ( ord_less_eq_o @ ( SV32 @ SY203 ) @ ( SY202 @ SY203 ) ) )
| ~ ( ~ ! [SY204: x_a] : ( ord_less_eq_o @ ( SV32 @ SY204 ) @ ( SY202 @ SY204 ) )
| ( ord_less_eq_a_o @ SV32 @ SY202 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1382]) ).
thf(1454,plain,
! [SV33: x_a > $o] :
( ( ! [SY205: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV33 @ SY205 )
| ~ ( ord_less_eq_a_o @ SY205 @ SV33 )
| ( SY205 = SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1383]) ).
thf(1455,plain,
! [SV34: x_a > $o] :
( ( ! [SY206: x_a > $o,SY207: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY206 @ SY207 )
| ~ ( ord_less_eq_a_o @ SY207 @ SV34 )
| ( ord_less_eq_a_o @ SY206 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1384]) ).
thf(1456,plain,
! [SV35: x_a] :
( ( ! [SY208: x_a > $o,SY209: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY208 @ SY209 )
| ( ord_less_eq_o @ ( SY208 @ SV35 ) @ ( SY209 @ SV35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1385]) ).
thf(1457,plain,
! [SV36: x_a] :
( ( ! [SY210: x_a > $o,SY211: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY210 @ SY211 )
| ~ ( member_a @ SV36 @ SY210 )
| ( member_a @ SV36 @ SY211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1386]) ).
thf(1458,plain,
! [SV37: x_a] :
( ( ! [SY212: x_a > $o,SY213: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY212 @ SY213 )
| ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SY212 ) @ ( insert_a @ SV37 @ SY213 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1387]) ).
thf(1459,plain,
! [SV38: x_a > $o] :
( ( ! [SY214: x_a > $o,SY215: x_a > $o,SY216: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY215 @ SY216 )
| ~ ( ord_less_eq_a_o @ SV38 @ SY214 )
| ( ord_less_eq_a_o @ ( minus_minus_a_o @ SY215 @ SY214 ) @ ( minus_minus_a_o @ SY216 @ SV38 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1388]) ).
thf(1460,plain,
! [SV39: x_a > $o] :
( ( ! [SY217: x_a,SY218: x_a > $o] :
( ~ ~ ( member_a @ SY217 @ SY218 )
| ~ ( ~ ( ~ ( ord_less_eq_a_o @ SY218 @ ( insert_a @ SY217 @ SV39 ) )
| ( ord_less_eq_a_o @ SY218 @ SV39 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SY218 @ SV39 )
| ( ord_less_eq_a_o @ SY218 @ ( insert_a @ SY217 @ SV39 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1389]) ).
thf(1461,plain,
! [SV40: x_a > $o] :
( ( ! [SY219: x_a > $o,SY220: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY219 @ SY220 )
| ( SY220 != SV40 )
| ( ord_less_eq_a_o @ SY219 @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1390]) ).
thf(1462,plain,
! [SV41: x_a] :
( ( ! [SY221: x_a > $o] :
( ~ ( member_a @ SV41 @ SY221 )
| ( ( insert_a @ SV41 @ SY221 )
= SY221 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1391]) ).
thf(1463,plain,
! [SV42: pname > x_a] :
( ( ! [SY222: pname > $o,SY223: pname > $o] :
( ~ ( ord_less_eq_pname_o @ SY222 @ SY223 )
| ( ord_less_eq_a_o @ ( image_pname_a @ SV42 @ SY222 ) @ ( image_pname_a @ SV42 @ SY223 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1392]) ).
thf(1464,plain,
! [SV43: x_a > $o] :
( ( ! [SY224: x_a] :
( ~ ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SY224 @ bot_bot_a_o ) )
| ( SV43 = bot_bot_a_o )
| ( SV43
= ( insert_a @ SY224 @ bot_bot_a_o ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1393]) ).
thf(1465,plain,
! [SV44: x_a > $o] :
( ( ! [SY225: x_a > $o,SY226: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY225 @ SY226 )
| ~ ( ord_less_eq_a_o @ SY226 @ SV44 )
| ( ( minus_minus_a_o @ SY226 @ ( minus_minus_a_o @ SV44 @ SY225 ) )
= SY225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1394]) ).
thf(1466,plain,
! [SV45: x_a > $o] :
( ( ! [SY227: x_a > $o] :
( ( SV45 != SY227 )
| ( ord_less_eq_a_o @ SY227 @ SV45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1395]) ).
thf(1467,plain,
! [SV46: x_a > $o] :
( ( ! [SY228: x_a > $o] :
( ~ ! [SY229: x_a] : ( ord_less_eq_o @ ( SV46 @ SY229 ) @ ( SY228 @ SY229 ) )
| ( ord_less_eq_a_o @ SV46 @ SY228 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1396]) ).
thf(1468,plain,
! [SV47: x_a] :
( ( ! [SY230: x_a > $o] :
( bot_bot_a_o
!= ( insert_a @ SV47 @ SY230 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1397]) ).
thf(1469,plain,
! [SV48: x_a > $o] :
( ( ! [SY231: x_a > $o] :
( ~ ( finite_finite_a @ SY231 )
| ~ ( ord_less_eq_a_o @ SV48 @ SY231 )
| ( finite_finite_a @ SV48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1398]) ).
thf(1470,plain,
! [SV49: x_a] :
( ( ! [SY232: x_a > $o,SY233: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY232 @ SY233 )
| ~ ( member_a @ SV49 @ SY232 )
| ( member_a @ SV49 @ SY233 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1399]) ).
thf(1471,plain,
! [SV50: x_a > $o] :
( ( ! [SY234: x_a > $o,SY235: x_a > $o] :
( ( SY234 != SY235 )
| ~ ( ord_less_eq_a_o @ SV50 @ SY235 )
| ( ord_less_eq_a_o @ SV50 @ SY234 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1400]) ).
thf(1472,plain,
! [SV51: x_a > $o] :
( ( ! [SY236: x_a > $o] :
( ( SV51 != SY236 )
| ( ord_less_eq_a_o @ SV51 @ SY236 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1401]) ).
thf(1473,plain,
! [SV52: x_a] :
( ( ! [SY237: x_a > $o,SY238: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY237 @ SY238 )
| ~ ( member_a @ SV52 @ SY237 )
| ( member_a @ SV52 @ SY238 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1402]) ).
thf(1474,plain,
! [SV53: x_a] :
( ( ! [SY239: x_a,SY240: x_a > $o] :
~ ( ~ ( ~ ( member_a @ SV53 @ ( insert_a @ SY239 @ SY240 ) )
| ( SV53 = SY239 )
| ( member_a @ SV53 @ SY240 ) )
| ~ ( ~ ( ( SV53 = SY239 )
| ( member_a @ SV53 @ SY240 ) )
| ( member_a @ SV53 @ ( insert_a @ SY239 @ SY240 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1403]) ).
thf(1475,plain,
! [SV54: x_a > $o] :
( ( ! [SY241: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV54 @ SY241 )
| ~ ( finite_finite_a @ SY241 )
| ( finite_finite_a @ SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1404]) ).
thf(1476,plain,
! [SV55: x_a > $o] :
( ( ! [SY242: x_a > $o] :
~ ( ~ ( ( SV55 != SY242 )
| ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SY242 )
| ~ ( ord_less_eq_a_o @ SY242 @ SV55 ) ) )
| ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SY242 )
| ~ ( ord_less_eq_a_o @ SY242 @ SV55 ) )
| ( SV55 = SY242 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1405]) ).
thf(1477,plain,
! [SV56: x_a] :
( ( ! [SY243: x_a > $o] :
( ~ ( finite_finite_a @ SY243 )
| ( finite_finite_a @ ( insert_a @ SV56 @ SY243 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1406]) ).
thf(1478,plain,
! [SV57: pname > x_a] :
( ( ! [SY244: pname,SY245: pname > $o] :
( ~ ( member_pname @ SY244 @ SY245 )
| ( ( insert_a @ ( SV57 @ SY244 ) @ ( image_pname_a @ SV57 @ SY245 ) )
= ( image_pname_a @ SV57 @ SY245 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1407]) ).
thf(1479,plain,
! [SV58: x_a > $o] :
( ( ! [SY246: x_a > $o] :
( ( SV58 != SY246 )
| ( ord_less_eq_a_o @ SV58 @ SY246 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1408]) ).
thf(1480,plain,
! [SV59: x_a > $o] :
( ( ! [SY247: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV59 @ SY247 )
| ~ ( ~ ( ~ ( ord_less_eq_a_o @ SY247 @ SV59 )
| ( SY247 = SV59 ) )
| ~ ( ( SY247 != SV59 )
| ( ord_less_eq_a_o @ SY247 @ SV59 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1409]) ).
thf(1481,plain,
! [SV60: x_a] :
( ( ! [SY248: x_a > $o,SY249: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY248 @ SY249 )
| ( ord_less_eq_o @ ( SY248 @ SV60 ) @ ( SY249 @ SV60 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1410]) ).
thf(1482,plain,
! [SV61: x_a > $o] :
( ( ! [SY250: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV61 @ SY250 )
| ~ ( ord_less_eq_a_o @ SY250 @ SV61 )
| ( SV61 = SY250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1411]) ).
thf(1483,plain,
! [SV62: x_a] :
( ( ! [SY251: x_a > $o,SY252: x_a] :
~ ( ~ ( ~ ( insert_a @ SV62 @ SY251 @ SY252 )
| ( SV62 = SY252 )
| ( SY251 @ SY252 ) )
| ~ ( ~ ( ( SV62 = SY252 )
| ( SY251 @ SY252 ) )
| ( insert_a @ SV62 @ SY251 @ SY252 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1412]) ).
thf(1484,plain,
! [SV63: x_a > $o] :
( ( ! [SY253: pname > x_a,SY254: pname > $o] :
~ ( ~ ( ~ ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SY253 @ SY254 ) )
| ~ ! [SY255: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY255 @ SY254 )
| ( SV63
!= ( image_pname_a @ SY253 @ SY255 ) ) ) )
| ~ ( ~ ~ ! [SY256: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY256 @ SY254 )
| ( SV63
!= ( image_pname_a @ SY253 @ SY256 ) ) )
| ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SY253 @ SY254 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1413]) ).
thf(1485,plain,
! [SV64: x_a] :
( ( ! [SY257: x_a > $o,SY258: x_a > $o] :
~ ( ~ ( ~ ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SY257 ) @ SY258 )
| ~ ( ~ ( member_a @ SV64 @ SY258 )
| ~ ( ord_less_eq_a_o @ SY257 @ SY258 ) ) )
| ~ ( ~ ~ ( ~ ( member_a @ SV64 @ SY258 )
| ~ ( ord_less_eq_a_o @ SY257 @ SY258 ) )
| ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SY257 ) @ SY258 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1414]) ).
thf(1486,plain,
! [SV65: x_a > $o] :
( ( ! [SY259: x_a > $o] :
( ( SV65 != SY259 )
| ~ ( ~ ( ord_less_eq_a_o @ SV65 @ SY259 )
| ~ ( ord_less_eq_a_o @ SY259 @ SV65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1415]) ).
thf(1487,plain,
! [SV66: x_a > $o] :
( ( ! [SY260: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV66 @ SY260 )
| ~ ( ord_less_eq_a_o @ SY260 @ SV66 )
| ( SV66 = SY260 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1416]) ).
thf(1488,plain,
! [SV67: x_a] :
( ( ! [SY261: x_a > $o,SY262: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY261 @ SY262 )
| ( ord_less_eq_a_o @ SY261 @ ( insert_a @ SV67 @ SY262 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1417]) ).
thf(1489,plain,
! [SV68: x_a > $o,SV2: x_a] :
( ( member_a @ SV2 @ ( insert_a @ SV2 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1420]) ).
thf(1490,plain,
! [SV69: x_a > $o,SV3: x_a] :
( ( ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) )
= ( insert_a @ SV3 @ SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1421]) ).
thf(1491,plain,
! [SV70: x_a,SV4: x_a] :
( ( ! [SY263: x_a > $o] :
( ( insert_a @ SV4 @ ( insert_a @ SV70 @ SY263 ) )
= ( insert_a @ SV70 @ ( insert_a @ SV4 @ SY263 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1422]) ).
thf(1492,plain,
! [SV71: x_a,SV6: x_a > $o] :
( ( ord_less_eq_a_o @ SV6 @ ( insert_a @ SV71 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1424]) ).
thf(1493,plain,
! [SV72: pname,SV7: pname > x_a] :
( ( ! [SY264: pname > $o] :
( ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SY264 ) )
= ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SY264 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1425]) ).
thf(1494,plain,
! [SV73: x_a > $o,SV9: x_a > $o] :
( ( ord_less_eq_a_o @ ( minus_minus_a_o @ SV9 @ SV73 ) @ SV9 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1427]) ).
thf(1495,plain,
! [SV11: $o] :
( ( ( SV11 = $true )
= $true )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1429]) ).
thf(1496,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1430]) ).
thf(1497,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1431]) ).
thf(1498,plain,
! [SV74: x_a > $o,SV12: x_a] :
( ( ( insert_a @ SV12 @ SV74 )
!= bot_bot_a_o )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1433]) ).
thf(1499,plain,
! [SV13: x_a > $o,SV75: x_a] :
( ( ! [SY265: x_a > $o] :
( ~ ( member_a @ SV75 @ SY265 )
| ~ ( ord_less_eq_a_o @ SY265 @ SV13 )
| ( member_a @ SV75 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1434]) ).
thf(1500,plain,
! [SV14: x_a > $o,SV76: x_a] :
( ( ! [SY266: x_a > $o] :
( ~ ~ ( member_a @ SV76 @ SY266 )
| ~ ~ ( member_a @ SV76 @ SV14 )
| ~ ( ~ ( ( ( insert_a @ SV76 @ SY266 )
!= ( insert_a @ SV76 @ SV14 ) )
| ( SY266 = SV14 ) )
| ~ ( ( SY266 != SV14 )
| ( ( insert_a @ SV76 @ SY266 )
= ( insert_a @ SV76 @ SV14 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1435]) ).
thf(1501,plain,
! [SV15: x_a,SV77: x_a] :
( ( ! [SY267: x_a > $o] :
( ~ ( ~ ~ ( member_a @ SV77 @ SY267 )
| ( SV77 = SV15 ) )
| ( member_a @ SV77 @ ( insert_a @ SV15 @ SY267 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1436]) ).
thf(1502,plain,
! [SV16: x_a > $o,SV78: x_a > $o] :
( ( ! [SY268: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV78 @ SY268 )
| ~ ( ord_less_eq_a_o @ SY268 @ SV16 )
| ( ord_less_eq_a_o @ SV78 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1437]) ).
thf(1503,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ~ ( ~ ( ( SV17 != SV79 )
| ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) ) )
| ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) )
| ( SV17 = SV79 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1438]) ).
thf(1504,plain,
! [SV80: x_a,SV18: x_a] :
( ( ( ( insert_a @ SV18 @ bot_bot_a_o )
!= ( insert_a @ SV80 @ bot_bot_a_o ) )
| ( SV18 = SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1439]) ).
thf(1505,plain,
! [SV19: x_a > $o,SV81: x_a > $o] :
( ( ~ ! [SY269: x_a] :
( ~ ( member_a @ SY269 @ SV81 )
| ( member_a @ SY269 @ SV19 ) )
| ( ord_less_eq_a_o @ SV81 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1440]) ).
thf(1506,plain,
! [SV20: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o ) )
= $true )
| ( ( SV20 = bot_bot_a_o )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1441]) ).
thf(1507,plain,
! [SV82: x_a > $o,SV21: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV21 @ SV82 )
| ( p @ SV82 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1442]) ).
thf(1508,plain,
! [SV22: x_a > $o] :
( ( ~ ( ~ ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
| ( SV22 = bot_bot_a_o ) )
| ~ ( ( SV22 != bot_bot_a_o )
| ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1443]) ).
thf(1509,plain,
! [SV23: x_a > $o,SV83: x_a > $o] :
( ( ! [SY270: x_a > $o] :
( ( SV83 != SY270 )
| ~ ( ord_less_eq_a_o @ SY270 @ SV23 )
| ( ord_less_eq_a_o @ SV83 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1444]) ).
thf(1510,plain,
! [SV24: x_a,SV84: x_a] :
( ( ! [SY271: x_a > $o] :
( ~ ( member_a @ SV84 @ SY271 )
| ( member_a @ SV84 @ ( insert_a @ SV24 @ SY271 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1445]) ).
thf(1511,plain,
! [SV25: x_a > $o] :
( ( ~ ( ~ ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
| ( SV25 = bot_bot_a_o ) )
| ~ ( ( SV25 != bot_bot_a_o )
| ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1446]) ).
thf(1512,plain,
! [SV85: x_a,SV26: x_a] :
( ( ! [SY272: x_a > $o] :
( ~ ( member_a @ SV26 @ ( insert_a @ SV85 @ SY272 ) )
| ~ ( ( SV26 != SV85 ) )
| ( member_a @ SV26 @ SY272 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1447]) ).
thf(1513,plain,
! [SV27: x_a > $o,SV86: x_a > $o] :
( ( ! [SY273: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV86 @ SY273 )
| ~ ( ord_less_eq_a_o @ SV27 @ SV86 )
| ( ord_less_eq_a_o @ SV27 @ SY273 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1448]) ).
thf(1514,plain,
! [SV28: x_a > $o,SV87: x_a > $o] :
( ( ! [SY274: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV87 @ SY274 )
| ( SV87 != SV28 )
| ( ord_less_eq_a_o @ SV28 @ SY274 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1449]) ).
thf(1515,plain,
! [SV88: x_a > $o,SV29: x_a] :
( ( ( insert_a @ SV29 @ ( collect_a @ SV88 ) )
= ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1450]) ).
thf(1516,plain,
! [SV89: x_a,SV30: x_a] :
( ( ! [SY276: x_a,SY277: x_a] :
~ ( ~ ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
!= ( insert_a @ SY276 @ ( insert_a @ SY277 @ bot_bot_a_o ) ) )
| ~ ( ( SV30 != SY276 )
| ( SV89 != SY277 ) )
| ~ ( ( SV30 != SY277 )
| ( SV89 != SY276 ) ) )
| ~ ( ~ ( ~ ( ( SV30 != SY276 )
| ( SV89 != SY277 ) )
| ~ ( ( SV30 != SY277 )
| ( SV89 != SY276 ) ) )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SY276 @ ( insert_a @ SY277 @ bot_bot_a_o ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1451]) ).
thf(1517,plain,
! [SV90: x_a > $o,SV31: x_a] :
( ( ~ ( ~ ( ~ ( finite_finite_a @ ( insert_a @ SV31 @ SV90 ) )
| ( finite_finite_a @ SV90 ) )
| ~ ( ~ ( finite_finite_a @ SV90 )
| ( finite_finite_a @ ( insert_a @ SV31 @ SV90 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1452]) ).
thf(1518,plain,
! [SV91: x_a > $o,SV32: x_a > $o] :
( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV91 )
| ! [SY278: x_a] : ( ord_less_eq_o @ ( SV32 @ SY278 ) @ ( SV91 @ SY278 ) ) )
| ~ ( ~ ! [SY279: x_a] : ( ord_less_eq_o @ ( SV32 @ SY279 ) @ ( SV91 @ SY279 ) )
| ( ord_less_eq_a_o @ SV32 @ SV91 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1453]) ).
thf(1519,plain,
! [SV92: x_a > $o,SV33: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV33 @ SV92 )
| ~ ( ord_less_eq_a_o @ SV92 @ SV33 )
| ( SV92 = SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1454]) ).
thf(1520,plain,
! [SV34: x_a > $o,SV93: x_a > $o] :
( ( ! [SY280: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV93 @ SY280 )
| ~ ( ord_less_eq_a_o @ SY280 @ SV34 )
| ( ord_less_eq_a_o @ SV93 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1455]) ).
thf(1521,plain,
! [SV35: x_a,SV94: x_a > $o] :
( ( ! [SY281: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV94 @ SY281 )
| ( ord_less_eq_o @ ( SV94 @ SV35 ) @ ( SY281 @ SV35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1456]) ).
thf(1522,plain,
! [SV36: x_a,SV95: x_a > $o] :
( ( ! [SY282: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV95 @ SY282 )
| ~ ( member_a @ SV36 @ SV95 )
| ( member_a @ SV36 @ SY282 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1457]) ).
thf(1523,plain,
! [SV37: x_a,SV96: x_a > $o] :
( ( ! [SY283: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV96 @ SY283 )
| ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV96 ) @ ( insert_a @ SV37 @ SY283 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1458]) ).
thf(1524,plain,
! [SV97: x_a > $o,SV38: x_a > $o] :
( ( ! [SY284: x_a > $o,SY285: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY284 @ SY285 )
| ~ ( ord_less_eq_a_o @ SV38 @ SV97 )
| ( ord_less_eq_a_o @ ( minus_minus_a_o @ SY284 @ SV97 ) @ ( minus_minus_a_o @ SY285 @ SV38 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1459]) ).
thf(1525,plain,
! [SV39: x_a > $o,SV98: x_a] :
( ( ! [SY286: x_a > $o] :
( ~ ~ ( member_a @ SV98 @ SY286 )
| ~ ( ~ ( ~ ( ord_less_eq_a_o @ SY286 @ ( insert_a @ SV98 @ SV39 ) )
| ( ord_less_eq_a_o @ SY286 @ SV39 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SY286 @ SV39 )
| ( ord_less_eq_a_o @ SY286 @ ( insert_a @ SV98 @ SV39 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1460]) ).
thf(1526,plain,
! [SV40: x_a > $o,SV99: x_a > $o] :
( ( ! [SY287: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV99 @ SY287 )
| ( SY287 != SV40 )
| ( ord_less_eq_a_o @ SV99 @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1461]) ).
thf(1527,plain,
! [SV100: x_a > $o,SV41: x_a] :
( ( ~ ( member_a @ SV41 @ SV100 )
| ( ( insert_a @ SV41 @ SV100 )
= SV100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1462]) ).
thf(1528,plain,
! [SV42: pname > x_a,SV101: pname > $o] :
( ( ! [SY288: pname > $o] :
( ~ ( ord_less_eq_pname_o @ SV101 @ SY288 )
| ( ord_less_eq_a_o @ ( image_pname_a @ SV42 @ SV101 ) @ ( image_pname_a @ SV42 @ SY288 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1463]) ).
thf(1529,plain,
! [SV102: x_a,SV43: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
| ( SV43 = bot_bot_a_o )
| ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1464]) ).
thf(1530,plain,
! [SV44: x_a > $o,SV103: x_a > $o] :
( ( ! [SY289: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV103 @ SY289 )
| ~ ( ord_less_eq_a_o @ SY289 @ SV44 )
| ( ( minus_minus_a_o @ SY289 @ ( minus_minus_a_o @ SV44 @ SV103 ) )
= SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1465]) ).
thf(1531,plain,
! [SV104: x_a > $o,SV45: x_a > $o] :
( ( ( SV45 != SV104 )
| ( ord_less_eq_a_o @ SV104 @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1466]) ).
thf(1532,plain,
! [SV105: x_a > $o,SV46: x_a > $o] :
( ( ~ ! [SY290: x_a] : ( ord_less_eq_o @ ( SV46 @ SY290 ) @ ( SV105 @ SY290 ) )
| ( ord_less_eq_a_o @ SV46 @ SV105 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1467]) ).
thf(1533,plain,
! [SV106: x_a > $o,SV47: x_a] :
( ( bot_bot_a_o
!= ( insert_a @ SV47 @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1468]) ).
thf(1534,plain,
! [SV48: x_a > $o,SV107: x_a > $o] :
( ( ~ ( finite_finite_a @ SV107 )
| ~ ( ord_less_eq_a_o @ SV48 @ SV107 )
| ( finite_finite_a @ SV48 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1469]) ).
thf(1535,plain,
! [SV49: x_a,SV108: x_a > $o] :
( ( ! [SY291: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV108 @ SY291 )
| ~ ( member_a @ SV49 @ SV108 )
| ( member_a @ SV49 @ SY291 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1470]) ).
thf(1536,plain,
! [SV50: x_a > $o,SV109: x_a > $o] :
( ( ! [SY292: x_a > $o] :
( ( SV109 != SY292 )
| ~ ( ord_less_eq_a_o @ SV50 @ SY292 )
| ( ord_less_eq_a_o @ SV50 @ SV109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1471]) ).
thf(1537,plain,
! [SV110: x_a > $o,SV51: x_a > $o] :
( ( ( SV51 != SV110 )
| ( ord_less_eq_a_o @ SV51 @ SV110 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1472]) ).
thf(1538,plain,
! [SV52: x_a,SV111: x_a > $o] :
( ( ! [SY293: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV111 @ SY293 )
| ~ ( member_a @ SV52 @ SV111 )
| ( member_a @ SV52 @ SY293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1473]) ).
thf(1539,plain,
! [SV112: x_a,SV53: x_a] :
( ( ! [SY294: x_a > $o] :
~ ( ~ ( ~ ( member_a @ SV53 @ ( insert_a @ SV112 @ SY294 ) )
| ( SV53 = SV112 )
| ( member_a @ SV53 @ SY294 ) )
| ~ ( ~ ( ( SV53 = SV112 )
| ( member_a @ SV53 @ SY294 ) )
| ( member_a @ SV53 @ ( insert_a @ SV112 @ SY294 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1474]) ).
thf(1540,plain,
! [SV113: x_a > $o,SV54: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV54 @ SV113 )
| ~ ( finite_finite_a @ SV113 )
| ( finite_finite_a @ SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1475]) ).
thf(1541,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ~ ( ~ ( ( SV55 != SV114 )
| ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) ) )
| ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) )
| ( SV55 = SV114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1476]) ).
thf(1542,plain,
! [SV56: x_a,SV115: x_a > $o] :
( ( ~ ( finite_finite_a @ SV115 )
| ( finite_finite_a @ ( insert_a @ SV56 @ SV115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1477]) ).
thf(1543,plain,
! [SV57: pname > x_a,SV116: pname] :
( ( ! [SY295: pname > $o] :
( ~ ( member_pname @ SV116 @ SY295 )
| ( ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SY295 ) )
= ( image_pname_a @ SV57 @ SY295 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1478]) ).
thf(1544,plain,
! [SV117: x_a > $o,SV58: x_a > $o] :
( ( ( SV58 != SV117 )
| ( ord_less_eq_a_o @ SV58 @ SV117 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1479]) ).
thf(1545,plain,
! [SV118: x_a > $o,SV59: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV59 @ SV118 )
| ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV118 @ SV59 )
| ( SV118 = SV59 ) )
| ~ ( ( SV118 != SV59 )
| ( ord_less_eq_a_o @ SV118 @ SV59 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1480]) ).
thf(1546,plain,
! [SV60: x_a,SV119: x_a > $o] :
( ( ! [SY296: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV119 @ SY296 )
| ( ord_less_eq_o @ ( SV119 @ SV60 ) @ ( SY296 @ SV60 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1481]) ).
thf(1547,plain,
! [SV120: x_a > $o,SV61: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV61 @ SV120 )
| ~ ( ord_less_eq_a_o @ SV120 @ SV61 )
| ( SV61 = SV120 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1482]) ).
thf(1548,plain,
! [SV121: x_a > $o,SV62: x_a] :
( ( ! [SY297: x_a] :
~ ( ~ ( ~ ( insert_a @ SV62 @ SV121 @ SY297 )
| ( SV62 = SY297 )
| ( SV121 @ SY297 ) )
| ~ ( ~ ( ( SV62 = SY297 )
| ( SV121 @ SY297 ) )
| ( insert_a @ SV62 @ SV121 @ SY297 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1483]) ).
thf(1549,plain,
! [SV122: pname > x_a,SV63: x_a > $o] :
( ( ! [SY298: pname > $o] :
~ ( ~ ( ~ ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SY298 ) )
| ~ ! [SY299: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY299 @ SY298 )
| ( SV63
!= ( image_pname_a @ SV122 @ SY299 ) ) ) )
| ~ ( ~ ~ ! [SY300: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY300 @ SY298 )
| ( SV63
!= ( image_pname_a @ SV122 @ SY300 ) ) )
| ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SY298 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1484]) ).
thf(1550,plain,
! [SV123: x_a > $o,SV64: x_a] :
( ( ! [SY301: x_a > $o] :
~ ( ~ ( ~ ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SY301 )
| ~ ( ~ ( member_a @ SV64 @ SY301 )
| ~ ( ord_less_eq_a_o @ SV123 @ SY301 ) ) )
| ~ ( ~ ~ ( ~ ( member_a @ SV64 @ SY301 )
| ~ ( ord_less_eq_a_o @ SV123 @ SY301 ) )
| ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SY301 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1485]) ).
thf(1551,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( SV65 != SV124 )
| ~ ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 )
| ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1486]) ).
thf(1552,plain,
! [SV125: x_a > $o,SV66: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV66 @ SV125 )
| ~ ( ord_less_eq_a_o @ SV125 @ SV66 )
| ( SV66 = SV125 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1487]) ).
thf(1553,plain,
! [SV67: x_a,SV126: x_a > $o] :
( ( ! [SY302: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV126 @ SY302 )
| ( ord_less_eq_a_o @ SV126 @ ( insert_a @ SV67 @ SY302 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1488]) ).
thf(1554,plain,
! [SV69: x_a > $o,SV3: x_a] :
( ( ! [SV127: x_a] :
( ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV127 )
= ( insert_a @ SV3 @ SV69 @ SV127 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1490]) ).
thf(1555,plain,
! [SV69: x_a > $o,SV3: x_a] :
( ( ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) )
= ( insert_a @ SV3 @ SV69 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1490]) ).
thf(1556,plain,
! [SV128: x_a > $o,SV70: x_a,SV4: x_a] :
( ( ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) )
= ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1491]) ).
thf(1557,plain,
! [SV129: pname > $o,SV72: pname,SV7: pname > x_a] :
( ( ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) )
= ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1493]) ).
thf(1558,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $true )
| ~ ( ~ SV11
| ~ $true ) )
= $true )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1495]) ).
thf(1559,plain,
! [SV11: $o] :
( ( ( SV11 = $true )
= $true )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1495]) ).
thf(1560,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1496]) ).
thf(1561,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1496]) ).
thf(1562,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1497]) ).
thf(1563,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1497]) ).
thf(1564,plain,
! [SV74: x_a > $o,SV12: x_a] :
( ( ( insert_a @ SV12 @ SV74 )
= bot_bot_a_o )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1498]) ).
thf(1565,plain,
! [SV13: x_a > $o,SV130: x_a > $o,SV75: x_a] :
( ( ~ ( member_a @ SV75 @ SV130 )
| ~ ( ord_less_eq_a_o @ SV130 @ SV13 )
| ( member_a @ SV75 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1499]) ).
thf(1566,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ~ ~ ( member_a @ SV76 @ SV131 )
| ~ ~ ( member_a @ SV76 @ SV14 )
| ~ ( ~ ( ( ( insert_a @ SV76 @ SV131 )
!= ( insert_a @ SV76 @ SV14 ) )
| ( SV131 = SV14 ) )
| ~ ( ( SV131 != SV14 )
| ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1500]) ).
thf(1567,plain,
! [SV15: x_a,SV132: x_a > $o,SV77: x_a] :
( ( ~ ( ~ ~ ( member_a @ SV77 @ SV132 )
| ( SV77 = SV15 ) )
| ( member_a @ SV77 @ ( insert_a @ SV15 @ SV132 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1501]) ).
thf(1568,plain,
! [SV16: x_a > $o,SV133: x_a > $o,SV78: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV78 @ SV133 )
| ~ ( ord_less_eq_a_o @ SV133 @ SV16 )
| ( ord_less_eq_a_o @ SV78 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1502]) ).
thf(1569,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ~ ( ( SV17 != SV79 )
| ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) ) )
| ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) )
| ( SV17 = SV79 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1503]) ).
thf(1570,plain,
! [SV80: x_a,SV18: x_a] :
( ( ( ( insert_a @ SV18 @ bot_bot_a_o )
!= ( insert_a @ SV80 @ bot_bot_a_o ) )
= $true )
| ( ( SV18 = SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1504]) ).
thf(1571,plain,
! [SV19: x_a > $o,SV81: x_a > $o] :
( ( ( ~ ! [SY269: x_a] :
( ~ ( member_a @ SY269 @ SV81 )
| ( member_a @ SY269 @ SV19 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV81 @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1505]) ).
thf(1572,plain,
! [SV20: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o )
= $false )
| ( ( SV20 = bot_bot_a_o )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1506]) ).
thf(1573,plain,
! [SV82: x_a > $o,SV21: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV21 @ SV82 ) )
= $true )
| ( ( p @ SV82 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1507]) ).
thf(1574,plain,
! [SV22: x_a > $o] :
( ( ~ ( ~ ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
| ( SV22 = bot_bot_a_o ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1508]) ).
thf(1575,plain,
! [SV22: x_a > $o] :
( ( ~ ( ( SV22 != bot_bot_a_o )
| ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1508]) ).
thf(1576,plain,
! [SV23: x_a > $o,SV134: x_a > $o,SV83: x_a > $o] :
( ( ( SV83 != SV134 )
| ~ ( ord_less_eq_a_o @ SV134 @ SV23 )
| ( ord_less_eq_a_o @ SV83 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1509]) ).
thf(1577,plain,
! [SV24: x_a,SV135: x_a > $o,SV84: x_a] :
( ( ~ ( member_a @ SV84 @ SV135 )
| ( member_a @ SV84 @ ( insert_a @ SV24 @ SV135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1510]) ).
thf(1578,plain,
! [SV25: x_a > $o] :
( ( ~ ( ~ ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
| ( SV25 = bot_bot_a_o ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1511]) ).
thf(1579,plain,
! [SV25: x_a > $o] :
( ( ~ ( ( SV25 != bot_bot_a_o )
| ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1511]) ).
thf(1580,plain,
! [SV136: x_a > $o,SV85: x_a,SV26: x_a] :
( ( ~ ( member_a @ SV26 @ ( insert_a @ SV85 @ SV136 ) )
| ~ ( ( SV26 != SV85 ) )
| ( member_a @ SV26 @ SV136 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1512]) ).
thf(1581,plain,
! [SV27: x_a > $o,SV137: x_a > $o,SV86: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV86 @ SV137 )
| ~ ( ord_less_eq_a_o @ SV27 @ SV86 )
| ( ord_less_eq_a_o @ SV27 @ SV137 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1513]) ).
thf(1582,plain,
! [SV28: x_a > $o,SV138: x_a > $o,SV87: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV87 @ SV138 )
| ( SV87 != SV28 )
| ( ord_less_eq_a_o @ SV28 @ SV138 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1514]) ).
thf(1583,plain,
! [SV88: x_a > $o,SV29: x_a] :
( ( ! [SV139: x_a] :
( ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV139 )
= ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV139 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1515]) ).
thf(1584,plain,
! [SV88: x_a > $o,SV29: x_a] :
( ( ( insert_a @ SV29 @ ( collect_a @ SV88 ) )
= ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1515]) ).
thf(1585,plain,
! [SV140: x_a,SV89: x_a,SV30: x_a] :
( ( ! [SY304: x_a] :
~ ( ~ ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
!= ( insert_a @ SV140 @ ( insert_a @ SY304 @ bot_bot_a_o ) ) )
| ~ ( ( SV30 != SV140 )
| ( SV89 != SY304 ) )
| ~ ( ( SV30 != SY304 )
| ( SV89 != SV140 ) ) )
| ~ ( ~ ( ~ ( ( SV30 != SV140 )
| ( SV89 != SY304 ) )
| ~ ( ( SV30 != SY304 )
| ( SV89 != SV140 ) ) )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SY304 @ bot_bot_a_o ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1516]) ).
thf(1586,plain,
! [SV90: x_a > $o,SV31: x_a] :
( ( ~ ( ~ ( finite_finite_a @ ( insert_a @ SV31 @ SV90 ) )
| ( finite_finite_a @ SV90 ) )
| ~ ( ~ ( finite_finite_a @ SV90 )
| ( finite_finite_a @ ( insert_a @ SV31 @ SV90 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1517]) ).
thf(1587,plain,
! [SV91: x_a > $o,SV32: x_a > $o] :
( ( ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV91 )
| ! [SY278: x_a] : ( ord_less_eq_o @ ( SV32 @ SY278 ) @ ( SV91 @ SY278 ) ) )
| ~ ( ~ ! [SY279: x_a] : ( ord_less_eq_o @ ( SV32 @ SY279 ) @ ( SV91 @ SY279 ) )
| ( ord_less_eq_a_o @ SV32 @ SV91 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1518]) ).
thf(1588,plain,
! [SV92: x_a > $o,SV33: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV33 @ SV92 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV92 @ SV33 )
| ( SV92 = SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1519]) ).
thf(1589,plain,
! [SV34: x_a > $o,SV141: x_a > $o,SV93: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV93 @ SV141 )
| ~ ( ord_less_eq_a_o @ SV141 @ SV34 )
| ( ord_less_eq_a_o @ SV93 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1520]) ).
thf(1590,plain,
! [SV35: x_a,SV142: x_a > $o,SV94: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV94 @ SV142 )
| ( ord_less_eq_o @ ( SV94 @ SV35 ) @ ( SV142 @ SV35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1521]) ).
thf(1591,plain,
! [SV36: x_a,SV143: x_a > $o,SV95: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV95 @ SV143 )
| ~ ( member_a @ SV36 @ SV95 )
| ( member_a @ SV36 @ SV143 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1522]) ).
thf(1592,plain,
! [SV37: x_a,SV144: x_a > $o,SV96: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV96 @ SV144 )
| ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV96 ) @ ( insert_a @ SV37 @ SV144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1523]) ).
thf(1593,plain,
! [SV97: x_a > $o,SV38: x_a > $o,SV145: x_a > $o] :
( ( ! [SY305: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV145 @ SY305 )
| ~ ( ord_less_eq_a_o @ SV38 @ SV97 )
| ( ord_less_eq_a_o @ ( minus_minus_a_o @ SV145 @ SV97 ) @ ( minus_minus_a_o @ SY305 @ SV38 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1524]) ).
thf(1594,plain,
! [SV39: x_a > $o,SV146: x_a > $o,SV98: x_a] :
( ( ~ ~ ( member_a @ SV98 @ SV146 )
| ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV146 @ ( insert_a @ SV98 @ SV39 ) )
| ( ord_less_eq_a_o @ SV146 @ SV39 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SV146 @ SV39 )
| ( ord_less_eq_a_o @ SV146 @ ( insert_a @ SV98 @ SV39 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1525]) ).
thf(1595,plain,
! [SV40: x_a > $o,SV147: x_a > $o,SV99: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV99 @ SV147 )
| ( SV147 != SV40 )
| ( ord_less_eq_a_o @ SV99 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1526]) ).
thf(1596,plain,
! [SV100: x_a > $o,SV41: x_a] :
( ( ( ~ ( member_a @ SV41 @ SV100 ) )
= $true )
| ( ( ( insert_a @ SV41 @ SV100 )
= SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1527]) ).
thf(1597,plain,
! [SV42: pname > x_a,SV148: pname > $o,SV101: pname > $o] :
( ( ~ ( ord_less_eq_pname_o @ SV101 @ SV148 )
| ( ord_less_eq_a_o @ ( image_pname_a @ SV42 @ SV101 ) @ ( image_pname_a @ SV42 @ SV148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1528]) ).
thf(1598,plain,
! [SV102: x_a,SV43: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) ) )
= $true )
| ( ( ( SV43 = bot_bot_a_o )
| ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1529]) ).
thf(1599,plain,
! [SV44: x_a > $o,SV149: x_a > $o,SV103: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV103 @ SV149 )
| ~ ( ord_less_eq_a_o @ SV149 @ SV44 )
| ( ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) )
= SV103 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1530]) ).
thf(1600,plain,
! [SV104: x_a > $o,SV45: x_a > $o] :
( ( ( SV45 != SV104 )
= $true )
| ( ( ord_less_eq_a_o @ SV104 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1531]) ).
thf(1601,plain,
! [SV105: x_a > $o,SV46: x_a > $o] :
( ( ( ~ ! [SY290: x_a] : ( ord_less_eq_o @ ( SV46 @ SY290 ) @ ( SV105 @ SY290 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV46 @ SV105 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1532]) ).
thf(1602,plain,
! [SV106: x_a > $o,SV47: x_a] :
( ( bot_bot_a_o
= ( insert_a @ SV47 @ SV106 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1533]) ).
thf(1603,plain,
! [SV48: x_a > $o,SV107: x_a > $o] :
( ( ( ~ ( finite_finite_a @ SV107 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV48 @ SV107 )
| ( finite_finite_a @ SV48 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1534]) ).
thf(1604,plain,
! [SV49: x_a,SV150: x_a > $o,SV108: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV108 @ SV150 )
| ~ ( member_a @ SV49 @ SV108 )
| ( member_a @ SV49 @ SV150 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1535]) ).
thf(1605,plain,
! [SV50: x_a > $o,SV151: x_a > $o,SV109: x_a > $o] :
( ( ( SV109 != SV151 )
| ~ ( ord_less_eq_a_o @ SV50 @ SV151 )
| ( ord_less_eq_a_o @ SV50 @ SV109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1536]) ).
thf(1606,plain,
! [SV110: x_a > $o,SV51: x_a > $o] :
( ( ( SV51 != SV110 )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ SV110 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1537]) ).
thf(1607,plain,
! [SV52: x_a,SV152: x_a > $o,SV111: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV111 @ SV152 )
| ~ ( member_a @ SV52 @ SV111 )
| ( member_a @ SV52 @ SV152 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1538]) ).
thf(1608,plain,
! [SV153: x_a > $o,SV112: x_a,SV53: x_a] :
( ( ~ ( ~ ( ~ ( member_a @ SV53 @ ( insert_a @ SV112 @ SV153 ) )
| ( SV53 = SV112 )
| ( member_a @ SV53 @ SV153 ) )
| ~ ( ~ ( ( SV53 = SV112 )
| ( member_a @ SV53 @ SV153 ) )
| ( member_a @ SV53 @ ( insert_a @ SV112 @ SV153 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1539]) ).
thf(1609,plain,
! [SV113: x_a > $o,SV54: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV54 @ SV113 ) )
= $true )
| ( ( ~ ( finite_finite_a @ SV113 )
| ( finite_finite_a @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1540]) ).
thf(1610,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ~ ( ( SV55 != SV114 )
| ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) ) )
| ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) )
| ( SV55 = SV114 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1541]) ).
thf(1611,plain,
! [SV56: x_a,SV115: x_a > $o] :
( ( ( ~ ( finite_finite_a @ SV115 ) )
= $true )
| ( ( finite_finite_a @ ( insert_a @ SV56 @ SV115 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1542]) ).
thf(1612,plain,
! [SV57: pname > x_a,SV154: pname > $o,SV116: pname] :
( ( ~ ( member_pname @ SV116 @ SV154 )
| ( ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) )
= ( image_pname_a @ SV57 @ SV154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1543]) ).
thf(1613,plain,
! [SV117: x_a > $o,SV58: x_a > $o] :
( ( ( SV58 != SV117 )
= $true )
| ( ( ord_less_eq_a_o @ SV58 @ SV117 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1544]) ).
thf(1614,plain,
! [SV118: x_a > $o,SV59: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV59 @ SV118 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV118 @ SV59 )
| ( SV118 = SV59 ) )
| ~ ( ( SV118 != SV59 )
| ( ord_less_eq_a_o @ SV118 @ SV59 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1545]) ).
thf(1615,plain,
! [SV60: x_a,SV155: x_a > $o,SV119: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV119 @ SV155 )
| ( ord_less_eq_o @ ( SV119 @ SV60 ) @ ( SV155 @ SV60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1546]) ).
thf(1616,plain,
! [SV120: x_a > $o,SV61: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV61 @ SV120 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV120 @ SV61 )
| ( SV61 = SV120 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1547]) ).
thf(1617,plain,
! [SV156: x_a,SV121: x_a > $o,SV62: x_a] :
( ( ~ ( ~ ( ~ ( insert_a @ SV62 @ SV121 @ SV156 )
| ( SV62 = SV156 )
| ( SV121 @ SV156 ) )
| ~ ( ~ ( ( SV62 = SV156 )
| ( SV121 @ SV156 ) )
| ( insert_a @ SV62 @ SV121 @ SV156 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1548]) ).
thf(1618,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV63: x_a > $o] :
( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
| ~ ! [SY306: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY306 @ SV157 )
| ( SV63
!= ( image_pname_a @ SV122 @ SY306 ) ) ) )
| ~ ( ~ ~ ! [SY307: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY307 @ SV157 )
| ( SV63
!= ( image_pname_a @ SV122 @ SY307 ) ) )
| ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1549]) ).
thf(1619,plain,
! [SV158: x_a > $o,SV123: x_a > $o,SV64: x_a] :
( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SV158 )
| ~ ( ~ ( member_a @ SV64 @ SV158 )
| ~ ( ord_less_eq_a_o @ SV123 @ SV158 ) ) )
| ~ ( ~ ~ ( ~ ( member_a @ SV64 @ SV158 )
| ~ ( ord_less_eq_a_o @ SV123 @ SV158 ) )
| ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SV158 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1550]) ).
thf(1620,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( SV65 != SV124 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 )
| ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1551]) ).
thf(1621,plain,
! [SV125: x_a > $o,SV66: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV66 @ SV125 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV125 @ SV66 )
| ( SV66 = SV125 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1552]) ).
thf(1622,plain,
! [SV67: x_a,SV159: x_a > $o,SV126: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV126 @ SV159 )
| ( ord_less_eq_a_o @ SV126 @ ( insert_a @ SV67 @ SV159 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1553]) ).
thf(1623,plain,
! [SV160: x_a,SV69: x_a > $o,SV3: x_a] :
( ( ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 )
= ( insert_a @ SV3 @ SV69 @ SV160 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1554]) ).
thf(1624,plain,
! [SV128: x_a > $o,SV70: x_a,SV4: x_a] :
( ( ! [SV161: x_a] :
( ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV161 )
= ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV161 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1556]) ).
thf(1625,plain,
! [SV128: x_a > $o,SV70: x_a,SV4: x_a] :
( ( ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) )
= ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1556]) ).
thf(1626,plain,
! [SV129: pname > $o,SV72: pname,SV7: pname > x_a] :
( ( ! [SV162: x_a] :
( ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV162 )
= ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV162 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1557]) ).
thf(1627,plain,
! [SV129: pname > $o,SV72: pname,SV7: pname > x_a] :
( ( ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) )
= ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1557]) ).
thf(1628,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $true ) )
= $true )
| ( ( ~ ( ~ SV11
| ~ $true ) )
= $true )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1558]) ).
thf(1629,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $false )
| ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1559]) ).
thf(1630,plain,
! [SV11: $o] :
( ( ( SV11 = $false )
= $true )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1559]) ).
thf(1631,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1560]) ).
thf(1632,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1561]) ).
thf(1633,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1561]) ).
thf(1634,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1562]) ).
thf(1635,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1563]) ).
thf(1636,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1563]) ).
thf(1637,plain,
! [SV74: x_a > $o,SV12: x_a] :
( ( ! [SV163: x_a] :
( ( insert_a @ SV12 @ SV74 @ SV163 )
= ( bot_bot_a_o @ SV163 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[1564]) ).
thf(1638,plain,
! [SV74: x_a > $o,SV12: x_a] :
( ( ( insert_a @ SV12 @ SV74 )
= bot_bot_a_o )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[1564]) ).
thf(1639,plain,
! [SV13: x_a > $o,SV130: x_a > $o,SV75: x_a] :
( ( ( ~ ( member_a @ SV75 @ SV130 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV130 @ SV13 )
| ( member_a @ SV75 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1565]) ).
thf(1640,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ~ ( member_a @ SV76 @ SV131 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV76 @ SV14 )
| ~ ( ~ ( ( ( insert_a @ SV76 @ SV131 )
!= ( insert_a @ SV76 @ SV14 ) )
| ( SV131 = SV14 ) )
| ~ ( ( SV131 != SV14 )
| ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1566]) ).
thf(1641,plain,
! [SV15: x_a,SV132: x_a > $o,SV77: x_a] :
( ( ( ~ ( ~ ~ ( member_a @ SV77 @ SV132 )
| ( SV77 = SV15 ) ) )
= $true )
| ( ( member_a @ SV77 @ ( insert_a @ SV15 @ SV132 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1567]) ).
thf(1642,plain,
! [SV16: x_a > $o,SV133: x_a > $o,SV78: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV78 @ SV133 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV133 @ SV16 )
| ( ord_less_eq_a_o @ SV78 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1568]) ).
thf(1643,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ~ ( ( SV17 != SV79 )
| ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1569]) ).
thf(1644,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) )
| ( SV17 = SV79 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1569]) ).
thf(1645,plain,
! [SV80: x_a,SV18: x_a] :
( ( ( ( insert_a @ SV18 @ bot_bot_a_o )
= ( insert_a @ SV80 @ bot_bot_a_o ) )
= $false )
| ( ( SV18 = SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1570]) ).
thf(1646,plain,
! [SV19: x_a > $o,SV81: x_a > $o] :
( ( ( ! [SY269: x_a] :
( ~ ( member_a @ SY269 @ SV81 )
| ( member_a @ SY269 @ SV19 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV81 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1571]) ).
thf(1647,plain,
! [SV20: x_a > $o] :
( ( ( ! [SV164: x_a] :
( ( SV20 @ SV164 )
= ( bot_bot_a_o @ SV164 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1572]) ).
thf(1648,plain,
! [SV20: x_a > $o] :
( ( ( SV20 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1572]) ).
thf(1649,plain,
! [SV82: x_a > $o,SV21: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV21 @ SV82 )
= $false )
| ( ( p @ SV82 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1573]) ).
thf(1650,plain,
! [SV22: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
| ( SV22 = bot_bot_a_o ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1574]) ).
thf(1651,plain,
! [SV22: x_a > $o] :
( ( ( SV22 != bot_bot_a_o )
| ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1575]) ).
thf(1652,plain,
! [SV23: x_a > $o,SV134: x_a > $o,SV83: x_a > $o] :
( ( ( SV83 != SV134 )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV134 @ SV23 )
| ( ord_less_eq_a_o @ SV83 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1576]) ).
thf(1653,plain,
! [SV24: x_a,SV135: x_a > $o,SV84: x_a] :
( ( ( ~ ( member_a @ SV84 @ SV135 ) )
= $true )
| ( ( member_a @ SV84 @ ( insert_a @ SV24 @ SV135 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1577]) ).
thf(1654,plain,
! [SV25: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
| ( SV25 = bot_bot_a_o ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1578]) ).
thf(1655,plain,
! [SV25: x_a > $o] :
( ( ( SV25 != bot_bot_a_o )
| ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1579]) ).
thf(1656,plain,
! [SV136: x_a > $o,SV85: x_a,SV26: x_a] :
( ( ( ~ ( member_a @ SV26 @ ( insert_a @ SV85 @ SV136 ) ) )
= $true )
| ( ( ~ ( ( SV26 != SV85 ) )
| ( member_a @ SV26 @ SV136 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1580]) ).
thf(1657,plain,
! [SV27: x_a > $o,SV137: x_a > $o,SV86: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV86 @ SV137 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV27 @ SV86 )
| ( ord_less_eq_a_o @ SV27 @ SV137 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1581]) ).
thf(1658,plain,
! [SV28: x_a > $o,SV138: x_a > $o,SV87: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV87 @ SV138 ) )
= $true )
| ( ( ( SV87 != SV28 )
| ( ord_less_eq_a_o @ SV28 @ SV138 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1582]) ).
thf(1659,plain,
! [SV165: x_a,SV88: x_a > $o,SV29: x_a] :
( ( ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 )
= ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1583]) ).
thf(1660,plain,
! [SV166: x_a,SV140: x_a,SV89: x_a,SV30: x_a] :
( ( ~ ( ~ ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
!= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
| ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
| ~ ( ~ ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1585]) ).
thf(1661,plain,
! [SV90: x_a > $o,SV31: x_a] :
( ( ~ ( ~ ( finite_finite_a @ ( insert_a @ SV31 @ SV90 ) )
| ( finite_finite_a @ SV90 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1586]) ).
thf(1662,plain,
! [SV31: x_a,SV90: x_a > $o] :
( ( ~ ( ~ ( finite_finite_a @ SV90 )
| ( finite_finite_a @ ( insert_a @ SV31 @ SV90 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1586]) ).
thf(1663,plain,
! [SV91: x_a > $o,SV32: x_a > $o] :
( ( ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV91 )
| ! [SY278: x_a] : ( ord_less_eq_o @ ( SV32 @ SY278 ) @ ( SV91 @ SY278 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1587]) ).
thf(1664,plain,
! [SV91: x_a > $o,SV32: x_a > $o] :
( ( ~ ( ~ ! [SY279: x_a] : ( ord_less_eq_o @ ( SV32 @ SY279 ) @ ( SV91 @ SY279 ) )
| ( ord_less_eq_a_o @ SV32 @ SV91 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1587]) ).
thf(1665,plain,
! [SV92: x_a > $o,SV33: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV92 @ SV33 )
| ( SV92 = SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1588]) ).
thf(1666,plain,
! [SV34: x_a > $o,SV141: x_a > $o,SV93: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV93 @ SV141 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV34 )
| ( ord_less_eq_a_o @ SV93 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1589]) ).
thf(1667,plain,
! [SV35: x_a,SV142: x_a > $o,SV94: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV94 @ SV142 ) )
= $true )
| ( ( ord_less_eq_o @ ( SV94 @ SV35 ) @ ( SV142 @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1590]) ).
thf(1668,plain,
! [SV36: x_a,SV143: x_a > $o,SV95: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV95 @ SV143 ) )
= $true )
| ( ( ~ ( member_a @ SV36 @ SV95 )
| ( member_a @ SV36 @ SV143 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1591]) ).
thf(1669,plain,
! [SV37: x_a,SV144: x_a > $o,SV96: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV96 @ SV144 ) )
= $true )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV96 ) @ ( insert_a @ SV37 @ SV144 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1592]) ).
thf(1670,plain,
! [SV97: x_a > $o,SV38: x_a > $o,SV167: x_a > $o,SV145: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV145 @ SV167 )
| ~ ( ord_less_eq_a_o @ SV38 @ SV97 )
| ( ord_less_eq_a_o @ ( minus_minus_a_o @ SV145 @ SV97 ) @ ( minus_minus_a_o @ SV167 @ SV38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1593]) ).
thf(1671,plain,
! [SV39: x_a > $o,SV146: x_a > $o,SV98: x_a] :
( ( ( ~ ~ ( member_a @ SV98 @ SV146 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV146 @ ( insert_a @ SV98 @ SV39 ) )
| ( ord_less_eq_a_o @ SV146 @ SV39 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SV146 @ SV39 )
| ( ord_less_eq_a_o @ SV146 @ ( insert_a @ SV98 @ SV39 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1594]) ).
thf(1672,plain,
! [SV40: x_a > $o,SV147: x_a > $o,SV99: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV99 @ SV147 ) )
= $true )
| ( ( ( SV147 != SV40 )
| ( ord_less_eq_a_o @ SV99 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1595]) ).
thf(1673,plain,
! [SV100: x_a > $o,SV41: x_a] :
( ( ( member_a @ SV41 @ SV100 )
= $false )
| ( ( ( insert_a @ SV41 @ SV100 )
= SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1596]) ).
thf(1674,plain,
! [SV42: pname > x_a,SV148: pname > $o,SV101: pname > $o] :
( ( ( ~ ( ord_less_eq_pname_o @ SV101 @ SV148 ) )
= $true )
| ( ( ord_less_eq_a_o @ ( image_pname_a @ SV42 @ SV101 ) @ ( image_pname_a @ SV42 @ SV148 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1597]) ).
thf(1675,plain,
! [SV102: x_a,SV43: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false )
| ( ( ( SV43 = bot_bot_a_o )
| ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1598]) ).
thf(1676,plain,
! [SV44: x_a > $o,SV149: x_a > $o,SV103: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV103 @ SV149 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV149 @ SV44 )
| ( ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) )
= SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1599]) ).
thf(1677,plain,
! [SV104: x_a > $o,SV45: x_a > $o] :
( ( ( SV45 = SV104 )
= $false )
| ( ( ord_less_eq_a_o @ SV104 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1600]) ).
thf(1678,plain,
! [SV105: x_a > $o,SV46: x_a > $o] :
( ( ( ! [SY290: x_a] : ( ord_less_eq_o @ ( SV46 @ SY290 ) @ ( SV105 @ SY290 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV46 @ SV105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1601]) ).
thf(1679,plain,
! [SV106: x_a > $o,SV47: x_a] :
( ( ! [SV168: x_a] :
( ( bot_bot_a_o @ SV168 )
= ( insert_a @ SV47 @ SV106 @ SV168 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[1602]) ).
thf(1680,plain,
! [SV106: x_a > $o,SV47: x_a] :
( ( bot_bot_a_o
= ( insert_a @ SV47 @ SV106 ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[1602]) ).
thf(1681,plain,
! [SV48: x_a > $o,SV107: x_a > $o] :
( ( ( finite_finite_a @ SV107 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV48 @ SV107 )
| ( finite_finite_a @ SV48 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1603]) ).
thf(1682,plain,
! [SV49: x_a,SV150: x_a > $o,SV108: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV108 @ SV150 ) )
= $true )
| ( ( ~ ( member_a @ SV49 @ SV108 )
| ( member_a @ SV49 @ SV150 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1604]) ).
thf(1683,plain,
! [SV50: x_a > $o,SV151: x_a > $o,SV109: x_a > $o] :
( ( ( SV109 != SV151 )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV50 @ SV151 )
| ( ord_less_eq_a_o @ SV50 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1605]) ).
thf(1684,plain,
! [SV110: x_a > $o,SV51: x_a > $o] :
( ( ( SV51 = SV110 )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1606]) ).
thf(1685,plain,
! [SV52: x_a,SV152: x_a > $o,SV111: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV111 @ SV152 ) )
= $true )
| ( ( ~ ( member_a @ SV52 @ SV111 )
| ( member_a @ SV52 @ SV152 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1607]) ).
thf(1686,plain,
! [SV153: x_a > $o,SV112: x_a,SV53: x_a] :
( ( ~ ( ~ ( member_a @ SV53 @ ( insert_a @ SV112 @ SV153 ) )
| ( SV53 = SV112 )
| ( member_a @ SV53 @ SV153 ) )
| ~ ( ~ ( ( SV53 = SV112 )
| ( member_a @ SV53 @ SV153 ) )
| ( member_a @ SV53 @ ( insert_a @ SV112 @ SV153 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1608]) ).
thf(1687,plain,
! [SV113: x_a > $o,SV54: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV54 @ SV113 )
= $false )
| ( ( ~ ( finite_finite_a @ SV113 )
| ( finite_finite_a @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1609]) ).
thf(1688,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ~ ( ( SV55 != SV114 )
| ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1610]) ).
thf(1689,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) )
| ( SV55 = SV114 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1610]) ).
thf(1690,plain,
! [SV56: x_a,SV115: x_a > $o] :
( ( ( finite_finite_a @ SV115 )
= $false )
| ( ( finite_finite_a @ ( insert_a @ SV56 @ SV115 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1611]) ).
thf(1691,plain,
! [SV57: pname > x_a,SV154: pname > $o,SV116: pname] :
( ( ( ~ ( member_pname @ SV116 @ SV154 ) )
= $true )
| ( ( ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) )
= ( image_pname_a @ SV57 @ SV154 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1612]) ).
thf(1692,plain,
! [SV117: x_a > $o,SV58: x_a > $o] :
( ( ( SV58 = SV117 )
= $false )
| ( ( ord_less_eq_a_o @ SV58 @ SV117 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1613]) ).
thf(1693,plain,
! [SV118: x_a > $o,SV59: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false )
| ( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV118 @ SV59 )
| ( SV118 = SV59 ) )
| ~ ( ( SV118 != SV59 )
| ( ord_less_eq_a_o @ SV118 @ SV59 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1614]) ).
thf(1694,plain,
! [SV60: x_a,SV155: x_a > $o,SV119: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV119 @ SV155 ) )
= $true )
| ( ( ord_less_eq_o @ ( SV119 @ SV60 ) @ ( SV155 @ SV60 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1615]) ).
thf(1695,plain,
! [SV120: x_a > $o,SV61: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV120 @ SV61 )
| ( SV61 = SV120 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1616]) ).
thf(1696,plain,
! [SV156: x_a,SV121: x_a > $o,SV62: x_a] :
( ( ~ ( ~ ( insert_a @ SV62 @ SV121 @ SV156 )
| ( SV62 = SV156 )
| ( SV121 @ SV156 ) )
| ~ ( ~ ( ( SV62 = SV156 )
| ( SV121 @ SV156 ) )
| ( insert_a @ SV62 @ SV121 @ SV156 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1617]) ).
thf(1697,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV63: x_a > $o] :
( ( ~ ( ~ ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
| ~ ! [SY306: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY306 @ SV157 )
| ( SV63
!= ( image_pname_a @ SV122 @ SY306 ) ) ) )
| ~ ( ~ ~ ! [SY307: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY307 @ SV157 )
| ( SV63
!= ( image_pname_a @ SV122 @ SY307 ) ) )
| ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1618]) ).
thf(1698,plain,
! [SV158: x_a > $o,SV123: x_a > $o,SV64: x_a] :
( ( ~ ( ~ ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SV158 )
| ~ ( ~ ( member_a @ SV64 @ SV158 )
| ~ ( ord_less_eq_a_o @ SV123 @ SV158 ) ) )
| ~ ( ~ ~ ( ~ ( member_a @ SV64 @ SV158 )
| ~ ( ord_less_eq_a_o @ SV123 @ SV158 ) )
| ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SV158 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1619]) ).
thf(1699,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( SV65 = SV124 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 )
| ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1620]) ).
thf(1700,plain,
! [SV125: x_a > $o,SV66: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV125 @ SV66 )
| ( SV66 = SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1621]) ).
thf(1701,plain,
! [SV67: x_a,SV159: x_a > $o,SV126: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV126 @ SV159 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV126 @ ( insert_a @ SV67 @ SV159 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1622]) ).
thf(1702,plain,
! [SV160: x_a,SV69: x_a > $o,SV3: x_a] :
( ( ~ ( ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 )
| ( insert_a @ SV3 @ SV69 @ SV160 ) )
| ~ ( ~ ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 )
| ~ ( insert_a @ SV3 @ SV69 @ SV160 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1623]) ).
thf(1703,plain,
! [SV160: x_a,SV69: x_a > $o,SV3: x_a] :
( ( ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 )
= ( insert_a @ SV3 @ SV69 @ SV160 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1623]) ).
thf(1704,plain,
! [SV169: x_a,SV128: x_a > $o,SV70: x_a,SV4: x_a] :
( ( ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 )
= ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1624]) ).
thf(1705,plain,
! [SV170: x_a,SV129: pname > $o,SV72: pname,SV7: pname > x_a] :
( ( ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 )
= ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1626]) ).
thf(1706,plain,
! [SV11: $o] :
( ( ( SV11
| $true )
= $false )
| ( ( ~ ( ~ SV11
| ~ $true ) )
= $true )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1628]) ).
thf(1707,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $false ) )
= $true )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1629]) ).
thf(1708,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1631]) ).
thf(1709,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1632]) ).
thf(1710,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1634]) ).
thf(1711,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1635]) ).
thf(1712,plain,
! [SV74: x_a > $o,SV12: x_a] :
( ( ( insert_a @ SV12 @ SV74 @ ( sK1_SV163 @ SV74 @ SV12 ) )
= ( bot_bot_a_o @ ( sK1_SV163 @ SV74 @ SV12 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1637]) ).
thf(1713,plain,
! [SV13: x_a > $o,SV130: x_a > $o,SV75: x_a] :
( ( ( member_a @ SV75 @ SV130 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV130 @ SV13 )
| ( member_a @ SV75 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1639]) ).
thf(1714,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( member_a @ SV76 @ SV131 ) )
= $false )
| ( ( ~ ~ ( member_a @ SV76 @ SV14 )
| ~ ( ~ ( ( ( insert_a @ SV76 @ SV131 )
!= ( insert_a @ SV76 @ SV14 ) )
| ( SV131 = SV14 ) )
| ~ ( ( SV131 != SV14 )
| ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1640]) ).
thf(1715,plain,
! [SV15: x_a,SV132: x_a > $o,SV77: x_a] :
( ( ( ~ ~ ( member_a @ SV77 @ SV132 )
| ( SV77 = SV15 ) )
= $false )
| ( ( member_a @ SV77 @ ( insert_a @ SV15 @ SV132 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1641]) ).
thf(1716,plain,
! [SV16: x_a > $o,SV133: x_a > $o,SV78: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV78 @ SV133 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV133 @ SV16 )
| ( ord_less_eq_a_o @ SV78 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1642]) ).
thf(1717,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( SV17 != SV79 )
| ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1643]) ).
thf(1718,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) )
| ( SV17 = SV79 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1644]) ).
thf(1719,plain,
! [SV80: x_a,SV18: x_a] :
( ( ( ! [SV171: x_a] :
( ( insert_a @ SV18 @ bot_bot_a_o @ SV171 )
= ( insert_a @ SV80 @ bot_bot_a_o @ SV171 ) ) )
= $false )
| ( ( SV18 = SV80 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1645]) ).
thf(1720,plain,
! [SV80: x_a,SV18: x_a] :
( ( ( ( insert_a @ SV18 @ bot_bot_a_o )
= ( insert_a @ SV80 @ bot_bot_a_o ) )
= $false )
| ( ( SV18 = SV80 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1645]) ).
thf(1721,plain,
! [SV81: x_a > $o,SV19: x_a > $o] :
( ( ( ~ ( member_a @ ( sK2_SY269 @ SV19 @ SV81 ) @ SV81 )
| ( member_a @ ( sK2_SY269 @ SV19 @ SV81 ) @ SV19 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV81 @ SV19 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1646]) ).
thf(1722,plain,
! [SV172: x_a,SV20: x_a > $o] :
( ( ( ( SV20 @ SV172 )
= ( bot_bot_a_o @ SV172 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1647]) ).
thf(1723,plain,
! [SV22: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o ) )
= $true )
| ( ( SV22 = bot_bot_a_o )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1650]) ).
thf(1724,plain,
! [SV22: x_a > $o] :
( ( ( SV22 != bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1651]) ).
thf(1725,plain,
! [SV23: x_a > $o,SV134: x_a > $o,SV83: x_a > $o] :
( ( ( SV83 = SV134 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV134 @ SV23 )
| ( ord_less_eq_a_o @ SV83 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1652]) ).
thf(1726,plain,
! [SV24: x_a,SV135: x_a > $o,SV84: x_a] :
( ( ( member_a @ SV84 @ SV135 )
= $false )
| ( ( member_a @ SV84 @ ( insert_a @ SV24 @ SV135 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1653]) ).
thf(1727,plain,
! [SV25: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o ) )
= $true )
| ( ( SV25 = bot_bot_a_o )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1654]) ).
thf(1728,plain,
! [SV25: x_a > $o] :
( ( ( SV25 != bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1655]) ).
thf(1729,plain,
! [SV136: x_a > $o,SV85: x_a,SV26: x_a] :
( ( ( member_a @ SV26 @ ( insert_a @ SV85 @ SV136 ) )
= $false )
| ( ( ~ ( ( SV26 != SV85 ) )
| ( member_a @ SV26 @ SV136 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1656]) ).
thf(1730,plain,
! [SV27: x_a > $o,SV137: x_a > $o,SV86: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV86 @ SV137 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV27 @ SV86 )
| ( ord_less_eq_a_o @ SV27 @ SV137 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1657]) ).
thf(1731,plain,
! [SV28: x_a > $o,SV138: x_a > $o,SV87: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV87 @ SV138 )
= $false )
| ( ( ( SV87 != SV28 )
| ( ord_less_eq_a_o @ SV28 @ SV138 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1658]) ).
thf(1732,plain,
! [SV165: x_a,SV88: x_a > $o,SV29: x_a] :
( ( ~ ( ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 )
| ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 ) )
| ~ ( ~ ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 )
| ~ ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1659]) ).
thf(1733,plain,
! [SV165: x_a,SV88: x_a > $o,SV29: x_a] :
( ( ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 )
= ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1659]) ).
thf(1734,plain,
! [SV166: x_a,SV140: x_a,SV89: x_a,SV30: x_a] :
( ( ~ ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
!= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
| ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
| ~ ( ~ ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1660]) ).
thf(1735,plain,
! [SV90: x_a > $o,SV31: x_a] :
( ( ~ ( finite_finite_a @ ( insert_a @ SV31 @ SV90 ) )
| ( finite_finite_a @ SV90 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1661]) ).
thf(1736,plain,
! [SV31: x_a,SV90: x_a > $o] :
( ( ~ ( finite_finite_a @ SV90 )
| ( finite_finite_a @ ( insert_a @ SV31 @ SV90 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1662]) ).
thf(1737,plain,
! [SV91: x_a > $o,SV32: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV32 @ SV91 )
| ! [SY278: x_a] : ( ord_less_eq_o @ ( SV32 @ SY278 ) @ ( SV91 @ SY278 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1663]) ).
thf(1738,plain,
! [SV91: x_a > $o,SV32: x_a > $o] :
( ( ~ ! [SY279: x_a] : ( ord_less_eq_o @ ( SV32 @ SY279 ) @ ( SV91 @ SY279 ) )
| ( ord_less_eq_a_o @ SV32 @ SV91 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1664]) ).
thf(1739,plain,
! [SV33: x_a > $o,SV92: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV92 @ SV33 ) )
= $true )
| ( ( SV92 = SV33 )
= $true )
| ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1665]) ).
thf(1740,plain,
! [SV34: x_a > $o,SV141: x_a > $o,SV93: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV93 @ SV141 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV34 )
| ( ord_less_eq_a_o @ SV93 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1666]) ).
thf(1741,plain,
! [SV35: x_a,SV142: x_a > $o,SV94: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV94 @ SV142 )
= $false )
| ( ( ord_less_eq_o @ ( SV94 @ SV35 ) @ ( SV142 @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1667]) ).
thf(1742,plain,
! [SV36: x_a,SV143: x_a > $o,SV95: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV95 @ SV143 )
= $false )
| ( ( ~ ( member_a @ SV36 @ SV95 )
| ( member_a @ SV36 @ SV143 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1668]) ).
thf(1743,plain,
! [SV37: x_a,SV144: x_a > $o,SV96: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV96 @ SV144 )
= $false )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV96 ) @ ( insert_a @ SV37 @ SV144 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1669]) ).
thf(1744,plain,
! [SV97: x_a > $o,SV38: x_a > $o,SV167: x_a > $o,SV145: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV145 @ SV167 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV38 @ SV97 )
| ( ord_less_eq_a_o @ ( minus_minus_a_o @ SV145 @ SV97 ) @ ( minus_minus_a_o @ SV167 @ SV38 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1670]) ).
thf(1745,plain,
! [SV39: x_a > $o,SV146: x_a > $o,SV98: x_a] :
( ( ( ~ ( member_a @ SV98 @ SV146 ) )
= $false )
| ( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV146 @ ( insert_a @ SV98 @ SV39 ) )
| ( ord_less_eq_a_o @ SV146 @ SV39 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SV146 @ SV39 )
| ( ord_less_eq_a_o @ SV146 @ ( insert_a @ SV98 @ SV39 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1671]) ).
thf(1746,plain,
! [SV40: x_a > $o,SV147: x_a > $o,SV99: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV99 @ SV147 )
= $false )
| ( ( ( SV147 != SV40 )
| ( ord_less_eq_a_o @ SV99 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1672]) ).
thf(1747,plain,
! [SV100: x_a > $o,SV41: x_a] :
( ( ( ! [SV173: x_a] :
( ( insert_a @ SV41 @ SV100 @ SV173 )
= ( SV100 @ SV173 ) ) )
= $true )
| ( ( member_a @ SV41 @ SV100 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1673]) ).
thf(1748,plain,
! [SV100: x_a > $o,SV41: x_a] :
( ( ( ( insert_a @ SV41 @ SV100 )
= SV100 )
= $true )
| ( ( member_a @ SV41 @ SV100 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1673]) ).
thf(1749,plain,
! [SV42: pname > x_a,SV148: pname > $o,SV101: pname > $o] :
( ( ( ord_less_eq_pname_o @ SV101 @ SV148 )
= $false )
| ( ( ord_less_eq_a_o @ ( image_pname_a @ SV42 @ SV101 ) @ ( image_pname_a @ SV42 @ SV148 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1674]) ).
thf(1750,plain,
! [SV102: x_a,SV43: x_a > $o] :
( ( ( SV43 = bot_bot_a_o )
= $true )
| ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1675]) ).
thf(1751,plain,
! [SV44: x_a > $o,SV149: x_a > $o,SV103: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV149 @ SV44 )
| ( ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) )
= SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1676]) ).
thf(1752,plain,
! [SV104: x_a > $o,SV45: x_a > $o] :
( ( ( ! [SV174: x_a] :
( ( SV45 @ SV174 )
= ( SV104 @ SV174 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV104 @ SV45 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1677]) ).
thf(1753,plain,
! [SV104: x_a > $o,SV45: x_a > $o] :
( ( ( SV45 = SV104 )
= $false )
| ( ( ord_less_eq_a_o @ SV104 @ SV45 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1677]) ).
thf(1754,plain,
! [SV105: x_a > $o,SV46: x_a > $o] :
( ( ( ord_less_eq_o @ ( SV46 @ ( sK3_SY290 @ SV105 @ SV46 ) ) @ ( SV105 @ ( sK3_SY290 @ SV105 @ SV46 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV46 @ SV105 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1678]) ).
thf(1755,plain,
! [SV47: x_a,SV106: x_a > $o] :
( ( ( bot_bot_a_o @ ( sK4_SV168 @ SV106 @ SV47 ) )
= ( insert_a @ SV47 @ SV106 @ ( sK4_SV168 @ SV106 @ SV47 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1679]) ).
thf(1756,plain,
! [SV107: x_a > $o,SV48: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV48 @ SV107 ) )
= $true )
| ( ( finite_finite_a @ SV48 )
= $true )
| ( ( finite_finite_a @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1681]) ).
thf(1757,plain,
! [SV49: x_a,SV150: x_a > $o,SV108: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV108 @ SV150 )
= $false )
| ( ( ~ ( member_a @ SV49 @ SV108 )
| ( member_a @ SV49 @ SV150 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1682]) ).
thf(1758,plain,
! [SV50: x_a > $o,SV151: x_a > $o,SV109: x_a > $o] :
( ( ( SV109 = SV151 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV50 @ SV151 )
| ( ord_less_eq_a_o @ SV50 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1683]) ).
thf(1759,plain,
! [SV110: x_a > $o,SV51: x_a > $o] :
( ( ( ! [SV175: x_a] :
( ( SV51 @ SV175 )
= ( SV110 @ SV175 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ SV110 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1684]) ).
thf(1760,plain,
! [SV110: x_a > $o,SV51: x_a > $o] :
( ( ( SV51 = SV110 )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ SV110 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1684]) ).
thf(1761,plain,
! [SV52: x_a,SV152: x_a > $o,SV111: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV111 @ SV152 )
= $false )
| ( ( ~ ( member_a @ SV52 @ SV111 )
| ( member_a @ SV52 @ SV152 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1685]) ).
thf(1762,plain,
! [SV153: x_a > $o,SV112: x_a,SV53: x_a] :
( ( ~ ( ~ ( member_a @ SV53 @ ( insert_a @ SV112 @ SV153 ) )
| ( SV53 = SV112 )
| ( member_a @ SV53 @ SV153 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1686]) ).
thf(1763,plain,
! [SV153: x_a > $o,SV112: x_a,SV53: x_a] :
( ( ~ ( ~ ( ( SV53 = SV112 )
| ( member_a @ SV53 @ SV153 ) )
| ( member_a @ SV53 @ ( insert_a @ SV112 @ SV153 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1686]) ).
thf(1764,plain,
! [SV54: x_a > $o,SV113: x_a > $o] :
( ( ( ~ ( finite_finite_a @ SV113 ) )
= $true )
| ( ( finite_finite_a @ SV54 )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1687]) ).
thf(1765,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( SV55 != SV114 )
| ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1688]) ).
thf(1766,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) )
| ( SV55 = SV114 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1689]) ).
thf(1767,plain,
! [SV57: pname > x_a,SV154: pname > $o,SV116: pname] :
( ( ( member_pname @ SV116 @ SV154 )
= $false )
| ( ( ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) )
= ( image_pname_a @ SV57 @ SV154 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1691]) ).
thf(1768,plain,
! [SV117: x_a > $o,SV58: x_a > $o] :
( ( ( ! [SV176: x_a] :
( ( SV58 @ SV176 )
= ( SV117 @ SV176 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV58 @ SV117 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1692]) ).
thf(1769,plain,
! [SV117: x_a > $o,SV58: x_a > $o] :
( ( ( SV58 = SV117 )
= $false )
| ( ( ord_less_eq_a_o @ SV58 @ SV117 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1692]) ).
thf(1770,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( ~ ( ~ ( ord_less_eq_a_o @ SV118 @ SV59 )
| ( SV118 = SV59 ) )
| ~ ( ( SV118 != SV59 )
| ( ord_less_eq_a_o @ SV118 @ SV59 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1693]) ).
thf(1771,plain,
! [SV60: x_a,SV155: x_a > $o,SV119: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV119 @ SV155 )
= $false )
| ( ( ord_less_eq_o @ ( SV119 @ SV60 ) @ ( SV155 @ SV60 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1694]) ).
thf(1772,plain,
! [SV61: x_a > $o,SV120: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV120 @ SV61 ) )
= $true )
| ( ( SV61 = SV120 )
= $true )
| ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1695]) ).
thf(1773,plain,
! [SV156: x_a,SV121: x_a > $o,SV62: x_a] :
( ( ~ ( ~ ( insert_a @ SV62 @ SV121 @ SV156 )
| ( SV62 = SV156 )
| ( SV121 @ SV156 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1696]) ).
thf(1774,plain,
! [SV121: x_a > $o,SV156: x_a,SV62: x_a] :
( ( ~ ( ~ ( ( SV62 = SV156 )
| ( SV121 @ SV156 ) )
| ( insert_a @ SV62 @ SV121 @ SV156 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1696]) ).
thf(1775,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV63: x_a > $o] :
( ( ~ ( ~ ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
| ~ ! [SY306: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY306 @ SV157 )
| ( SV63
!= ( image_pname_a @ SV122 @ SY306 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1697]) ).
thf(1776,plain,
! [SV122: pname > x_a,SV63: x_a > $o,SV157: pname > $o] :
( ( ~ ( ~ ~ ! [SY307: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY307 @ SV157 )
| ( SV63
!= ( image_pname_a @ SV122 @ SY307 ) ) )
| ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1697]) ).
thf(1777,plain,
! [SV158: x_a > $o,SV123: x_a > $o,SV64: x_a] :
( ( ~ ( ~ ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SV158 )
| ~ ( ~ ( member_a @ SV64 @ SV158 )
| ~ ( ord_less_eq_a_o @ SV123 @ SV158 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1698]) ).
thf(1778,plain,
! [SV123: x_a > $o,SV158: x_a > $o,SV64: x_a] :
( ( ~ ( ~ ~ ( ~ ( member_a @ SV64 @ SV158 )
| ~ ( ord_less_eq_a_o @ SV123 @ SV158 ) )
| ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SV158 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1698]) ).
thf(1779,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( ! [SV177: x_a] :
( ( SV65 @ SV177 )
= ( SV124 @ SV177 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 )
| ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1699]) ).
thf(1780,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( SV65 = SV124 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 )
| ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1699]) ).
thf(1781,plain,
! [SV66: x_a > $o,SV125: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV125 @ SV66 ) )
= $true )
| ( ( SV66 = SV125 )
= $true )
| ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1700]) ).
thf(1782,plain,
! [SV67: x_a,SV159: x_a > $o,SV126: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV126 @ SV159 )
= $false )
| ( ( ord_less_eq_a_o @ SV126 @ ( insert_a @ SV67 @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1701]) ).
thf(1783,plain,
! [SV160: x_a,SV69: x_a > $o,SV3: x_a] :
( ( ( ~ ( ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 )
| ( insert_a @ SV3 @ SV69 @ SV160 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 )
| ~ ( insert_a @ SV3 @ SV69 @ SV160 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1702]) ).
thf(1784,plain,
! [SV169: x_a,SV128: x_a > $o,SV70: x_a,SV4: x_a] :
( ( ~ ( ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 )
| ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 ) )
| ~ ( ~ ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 )
| ~ ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1704]) ).
thf(1785,plain,
! [SV169: x_a,SV128: x_a > $o,SV70: x_a,SV4: x_a] :
( ( ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 )
= ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1704]) ).
thf(1786,plain,
! [SV170: x_a,SV129: pname > $o,SV72: pname,SV7: pname > x_a] :
( ( ~ ( ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 )
| ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 ) )
| ~ ( ~ ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 )
| ~ ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1705]) ).
thf(1787,plain,
! [SV170: x_a,SV129: pname > $o,SV72: pname,SV7: pname > x_a] :
( ( ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 )
= ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1705]) ).
thf(1788,plain,
! [SV11: $o] :
( ( SV11 = $false )
| ( ( ~ ( ~ SV11
| ~ $true ) )
= $true )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1706]) ).
thf(1789,plain,
! [SV11: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV11
| ~ $true ) )
= $true )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1706]) ).
thf(1790,plain,
! [SV11: $o] :
( ( ( SV11
| $false )
= $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1707]) ).
thf(1791,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1708]) ).
thf(1792,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1708]) ).
thf(1793,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1709]) ).
thf(1794,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1710]) ).
thf(1795,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1710]) ).
thf(1796,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1711]) ).
thf(1797,plain,
! [SV74: x_a > $o,SV12: x_a] :
( ( ~ ( ( insert_a @ SV12 @ SV74 @ ( sK1_SV163 @ SV74 @ SV12 ) )
| ( bot_bot_a_o @ ( sK1_SV163 @ SV74 @ SV12 ) ) )
| ~ ( ~ ( insert_a @ SV12 @ SV74 @ ( sK1_SV163 @ SV74 @ SV12 ) )
| ~ ( bot_bot_a_o @ ( sK1_SV163 @ SV74 @ SV12 ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[1712]) ).
thf(1798,plain,
! [SV74: x_a > $o,SV12: x_a] :
( ( ( insert_a @ SV12 @ SV74 @ ( sK1_SV163 @ SV74 @ SV12 ) )
= ( bot_bot_a_o @ ( sK1_SV163 @ SV74 @ SV12 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[1712]) ).
thf(1799,plain,
! [SV75: x_a,SV13: x_a > $o,SV130: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV130 @ SV13 ) )
= $true )
| ( ( member_a @ SV75 @ SV13 )
= $true )
| ( ( member_a @ SV75 @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1713]) ).
thf(1800,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( member_a @ SV76 @ SV131 )
= $true )
| ( ( ~ ~ ( member_a @ SV76 @ SV14 )
| ~ ( ~ ( ( ( insert_a @ SV76 @ SV131 )
!= ( insert_a @ SV76 @ SV14 ) )
| ( SV131 = SV14 ) )
| ~ ( ( SV131 != SV14 )
| ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1714]) ).
thf(1801,plain,
! [SV15: x_a,SV132: x_a > $o,SV77: x_a] :
( ( ( ~ ~ ( member_a @ SV77 @ SV132 ) )
= $false )
| ( ( member_a @ SV77 @ ( insert_a @ SV15 @ SV132 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1715]) ).
thf(1802,plain,
! [SV132: x_a > $o,SV15: x_a,SV77: x_a] :
( ( ( SV77 = SV15 )
= $false )
| ( ( member_a @ SV77 @ ( insert_a @ SV15 @ SV132 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1715]) ).
thf(1803,plain,
! [SV78: x_a > $o,SV16: x_a > $o,SV133: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV133 @ SV16 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV78 @ SV16 )
= $true )
| ( ( ord_less_eq_a_o @ SV78 @ SV133 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1716]) ).
thf(1804,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( SV17 != SV79 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1717]) ).
thf(1805,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) ) )
= $true )
| ( ( SV17 = SV79 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1718]) ).
thf(1806,plain,
! [SV80: x_a,SV18: x_a] :
( ( ( ( insert_a @ SV18 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) )
= ( insert_a @ SV80 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) ) )
= $false )
| ( ( SV18 = SV80 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1719]) ).
thf(1807,plain,
! [SV81: x_a > $o,SV19: x_a > $o] :
( ( ( ~ ( member_a @ ( sK2_SY269 @ SV19 @ SV81 ) @ SV81 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV81 @ SV19 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1721]) ).
thf(1808,plain,
! [SV81: x_a > $o,SV19: x_a > $o] :
( ( ( member_a @ ( sK2_SY269 @ SV19 @ SV81 ) @ SV19 )
= $false )
| ( ( ord_less_eq_a_o @ SV81 @ SV19 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1721]) ).
thf(1809,plain,
! [SV172: x_a,SV20: x_a > $o] :
( ( ( ~ ( ( SV20 @ SV172 )
| ( bot_bot_a_o @ SV172 ) )
| ~ ( ~ ( SV20 @ SV172 )
| ~ ( bot_bot_a_o @ SV172 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1722]) ).
thf(1810,plain,
! [SV172: x_a,SV20: x_a > $o] :
( ( ( ( SV20 @ SV172 )
= ( bot_bot_a_o @ SV172 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1722]) ).
thf(1811,plain,
! [SV22: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $false )
| ( ( SV22 = bot_bot_a_o )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1723]) ).
thf(1812,plain,
! [SV22: x_a > $o] :
( ( ( SV22 = bot_bot_a_o )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1724]) ).
thf(1813,plain,
! [SV23: x_a > $o,SV134: x_a > $o,SV83: x_a > $o] :
( ( ( ! [SV178: x_a] :
( ( SV83 @ SV178 )
= ( SV134 @ SV178 ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV134 @ SV23 )
| ( ord_less_eq_a_o @ SV83 @ SV23 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1725]) ).
thf(1814,plain,
! [SV23: x_a > $o,SV134: x_a > $o,SV83: x_a > $o] :
( ( ( SV83 = SV134 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV134 @ SV23 )
| ( ord_less_eq_a_o @ SV83 @ SV23 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1725]) ).
thf(1815,plain,
! [SV25: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $false )
| ( ( SV25 = bot_bot_a_o )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1727]) ).
thf(1816,plain,
! [SV25: x_a > $o] :
( ( ( SV25 = bot_bot_a_o )
= $false )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1728]) ).
thf(1817,plain,
! [SV136: x_a > $o,SV85: x_a,SV26: x_a] :
( ( ( ~ ( ( SV26 != SV85 ) ) )
= $true )
| ( ( member_a @ SV26 @ SV136 )
= $true )
| ( ( member_a @ SV26 @ ( insert_a @ SV85 @ SV136 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1729]) ).
thf(1818,plain,
! [SV137: x_a > $o,SV86: x_a > $o,SV27: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV27 @ SV86 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV27 @ SV137 )
= $true )
| ( ( ord_less_eq_a_o @ SV86 @ SV137 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1730]) ).
thf(1819,plain,
! [SV138: x_a > $o,SV28: x_a > $o,SV87: x_a > $o] :
( ( ( SV87 != SV28 )
= $true )
| ( ( ord_less_eq_a_o @ SV28 @ SV138 )
= $true )
| ( ( ord_less_eq_a_o @ SV87 @ SV138 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1731]) ).
thf(1820,plain,
! [SV165: x_a,SV88: x_a > $o,SV29: x_a] :
( ( ( ~ ( ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 )
| ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 )
| ~ ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1732]) ).
thf(1821,plain,
! [SV166: x_a,SV140: x_a,SV89: x_a,SV30: x_a] :
( ( ~ ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
!= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
| ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1734]) ).
thf(1822,plain,
! [SV166: x_a,SV89: x_a,SV140: x_a,SV30: x_a] :
( ( ~ ( ~ ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1734]) ).
thf(1823,plain,
! [SV90: x_a > $o,SV31: x_a] :
( ( ( ~ ( finite_finite_a @ ( insert_a @ SV31 @ SV90 ) ) )
= $true )
| ( ( finite_finite_a @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1735]) ).
thf(1824,plain,
! [SV31: x_a,SV90: x_a > $o] :
( ( ( ~ ( finite_finite_a @ SV90 ) )
= $true )
| ( ( finite_finite_a @ ( insert_a @ SV31 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1736]) ).
thf(1825,plain,
! [SV91: x_a > $o,SV32: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV32 @ SV91 ) )
= $true )
| ( ( ! [SY278: x_a] : ( ord_less_eq_o @ ( SV32 @ SY278 ) @ ( SV91 @ SY278 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1737]) ).
thf(1826,plain,
! [SV91: x_a > $o,SV32: x_a > $o] :
( ( ( ~ ! [SY279: x_a] : ( ord_less_eq_o @ ( SV32 @ SY279 ) @ ( SV91 @ SY279 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV32 @ SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1738]) ).
thf(1827,plain,
! [SV33: x_a > $o,SV92: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV92 @ SV33 )
= $false )
| ( ( SV92 = SV33 )
= $true )
| ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1739]) ).
thf(1828,plain,
! [SV93: x_a > $o,SV34: x_a > $o,SV141: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV34 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV93 @ SV34 )
= $true )
| ( ( ord_less_eq_a_o @ SV93 @ SV141 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1740]) ).
thf(1829,plain,
! [SV143: x_a > $o,SV95: x_a > $o,SV36: x_a] :
( ( ( ~ ( member_a @ SV36 @ SV95 ) )
= $true )
| ( ( member_a @ SV36 @ SV143 )
= $true )
| ( ( ord_less_eq_a_o @ SV95 @ SV143 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1742]) ).
thf(1830,plain,
! [SV97: x_a > $o,SV38: x_a > $o,SV167: x_a > $o,SV145: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV145 @ SV167 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV38 @ SV97 )
| ( ord_less_eq_a_o @ ( minus_minus_a_o @ SV145 @ SV97 ) @ ( minus_minus_a_o @ SV167 @ SV38 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1744]) ).
thf(1831,plain,
! [SV39: x_a > $o,SV146: x_a > $o,SV98: x_a] :
( ( ( member_a @ SV98 @ SV146 )
= $true )
| ( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV146 @ ( insert_a @ SV98 @ SV39 ) )
| ( ord_less_eq_a_o @ SV146 @ SV39 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SV146 @ SV39 )
| ( ord_less_eq_a_o @ SV146 @ ( insert_a @ SV98 @ SV39 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1745]) ).
thf(1832,plain,
! [SV99: x_a > $o,SV40: x_a > $o,SV147: x_a > $o] :
( ( ( SV147 != SV40 )
= $true )
| ( ( ord_less_eq_a_o @ SV99 @ SV40 )
= $true )
| ( ( ord_less_eq_a_o @ SV99 @ SV147 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1746]) ).
thf(1833,plain,
! [SV179: x_a,SV100: x_a > $o,SV41: x_a] :
( ( ( ( insert_a @ SV41 @ SV100 @ SV179 )
= ( SV100 @ SV179 ) )
= $true )
| ( ( member_a @ SV41 @ SV100 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1747]) ).
thf(1834,plain,
! [SV102: x_a,SV43: x_a > $o] :
( ( ( ! [SV180: x_a] :
( ( SV43 @ SV180 )
= ( bot_bot_a_o @ SV180 ) ) )
= $true )
| ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1750]) ).
thf(1835,plain,
! [SV102: x_a,SV43: x_a > $o] :
( ( ( SV43 = bot_bot_a_o )
= $true )
| ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1750]) ).
thf(1836,plain,
! [SV103: x_a > $o,SV44: x_a > $o,SV149: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV149 @ SV44 ) )
= $true )
| ( ( ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) )
= SV103 )
= $true )
| ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1751]) ).
thf(1837,plain,
! [SV104: x_a > $o,SV45: x_a > $o] :
( ( ( ( SV45 @ ( sK6_SV174 @ SV104 @ SV45 ) )
= ( SV104 @ ( sK6_SV174 @ SV104 @ SV45 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV104 @ SV45 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1752]) ).
thf(1838,plain,
! [SV47: x_a,SV106: x_a > $o] :
( ( ~ ( ( bot_bot_a_o @ ( sK4_SV168 @ SV106 @ SV47 ) )
| ( insert_a @ SV47 @ SV106 @ ( sK4_SV168 @ SV106 @ SV47 ) ) )
| ~ ( ~ ( bot_bot_a_o @ ( sK4_SV168 @ SV106 @ SV47 ) )
| ~ ( insert_a @ SV47 @ SV106 @ ( sK4_SV168 @ SV106 @ SV47 ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[1755]) ).
thf(1839,plain,
! [SV47: x_a,SV106: x_a > $o] :
( ( ( bot_bot_a_o @ ( sK4_SV168 @ SV106 @ SV47 ) )
= ( insert_a @ SV47 @ SV106 @ ( sK4_SV168 @ SV106 @ SV47 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[1755]) ).
thf(1840,plain,
! [SV107: x_a > $o,SV48: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV48 @ SV107 )
= $false )
| ( ( finite_finite_a @ SV48 )
= $true )
| ( ( finite_finite_a @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1756]) ).
thf(1841,plain,
! [SV150: x_a > $o,SV108: x_a > $o,SV49: x_a] :
( ( ( ~ ( member_a @ SV49 @ SV108 ) )
= $true )
| ( ( member_a @ SV49 @ SV150 )
= $true )
| ( ( ord_less_eq_a_o @ SV108 @ SV150 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1757]) ).
thf(1842,plain,
! [SV50: x_a > $o,SV151: x_a > $o,SV109: x_a > $o] :
( ( ( ! [SV181: x_a] :
( ( SV109 @ SV181 )
= ( SV151 @ SV181 ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV50 @ SV151 )
| ( ord_less_eq_a_o @ SV50 @ SV109 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1758]) ).
thf(1843,plain,
! [SV50: x_a > $o,SV151: x_a > $o,SV109: x_a > $o] :
( ( ( SV109 = SV151 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV50 @ SV151 )
| ( ord_less_eq_a_o @ SV50 @ SV109 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1758]) ).
thf(1844,plain,
! [SV110: x_a > $o,SV51: x_a > $o] :
( ( ( ( SV51 @ ( sK7_SV175 @ SV110 @ SV51 ) )
= ( SV110 @ ( sK7_SV175 @ SV110 @ SV51 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ SV110 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1759]) ).
thf(1845,plain,
! [SV152: x_a > $o,SV111: x_a > $o,SV52: x_a] :
( ( ( ~ ( member_a @ SV52 @ SV111 ) )
= $true )
| ( ( member_a @ SV52 @ SV152 )
= $true )
| ( ( ord_less_eq_a_o @ SV111 @ SV152 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1761]) ).
thf(1846,plain,
! [SV153: x_a > $o,SV112: x_a,SV53: x_a] :
( ( ~ ( member_a @ SV53 @ ( insert_a @ SV112 @ SV153 ) )
| ( SV53 = SV112 )
| ( member_a @ SV53 @ SV153 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1762]) ).
thf(1847,plain,
! [SV153: x_a > $o,SV112: x_a,SV53: x_a] :
( ( ~ ( ( SV53 = SV112 )
| ( member_a @ SV53 @ SV153 ) )
| ( member_a @ SV53 @ ( insert_a @ SV112 @ SV153 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1763]) ).
thf(1848,plain,
! [SV54: x_a > $o,SV113: x_a > $o] :
( ( ( finite_finite_a @ SV113 )
= $false )
| ( ( finite_finite_a @ SV54 )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1764]) ).
thf(1849,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( SV55 != SV114 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1765]) ).
thf(1850,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) ) )
= $true )
| ( ( SV55 = SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1766]) ).
thf(1851,plain,
! [SV154: pname > $o,SV116: pname,SV57: pname > x_a] :
( ( ( ! [SV182: x_a] :
( ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV182 )
= ( image_pname_a @ SV57 @ SV154 @ SV182 ) ) )
= $true )
| ( ( member_pname @ SV116 @ SV154 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1767]) ).
thf(1852,plain,
! [SV154: pname > $o,SV116: pname,SV57: pname > x_a] :
( ( ( ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) )
= ( image_pname_a @ SV57 @ SV154 ) )
= $true )
| ( ( member_pname @ SV116 @ SV154 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1767]) ).
thf(1853,plain,
! [SV117: x_a > $o,SV58: x_a > $o] :
( ( ( ( SV58 @ ( sK8_SV176 @ SV117 @ SV58 ) )
= ( SV117 @ ( sK8_SV176 @ SV117 @ SV58 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV58 @ SV117 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1768]) ).
thf(1854,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( ~ ( ~ ( ord_less_eq_a_o @ SV118 @ SV59 )
| ( SV118 = SV59 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1770]) ).
thf(1855,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( ~ ( ( SV118 != SV59 )
| ( ord_less_eq_a_o @ SV118 @ SV59 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1770]) ).
thf(1856,plain,
! [SV61: x_a > $o,SV120: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV120 @ SV61 )
= $false )
| ( ( SV61 = SV120 )
= $true )
| ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1772]) ).
thf(1857,plain,
! [SV156: x_a,SV121: x_a > $o,SV62: x_a] :
( ( ~ ( insert_a @ SV62 @ SV121 @ SV156 )
| ( SV62 = SV156 )
| ( SV121 @ SV156 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1773]) ).
thf(1858,plain,
! [SV121: x_a > $o,SV156: x_a,SV62: x_a] :
( ( ~ ( ( SV62 = SV156 )
| ( SV121 @ SV156 ) )
| ( insert_a @ SV62 @ SV121 @ SV156 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1774]) ).
thf(1859,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV63: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
| ~ ! [SY306: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY306 @ SV157 )
| ( SV63
!= ( image_pname_a @ SV122 @ SY306 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1775]) ).
thf(1860,plain,
! [SV122: pname > x_a,SV63: x_a > $o,SV157: pname > $o] :
( ( ~ ~ ! [SY307: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY307 @ SV157 )
| ( SV63
!= ( image_pname_a @ SV122 @ SY307 ) ) )
| ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1776]) ).
thf(1861,plain,
! [SV158: x_a > $o,SV123: x_a > $o,SV64: x_a] :
( ( ~ ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SV158 )
| ~ ( ~ ( member_a @ SV64 @ SV158 )
| ~ ( ord_less_eq_a_o @ SV123 @ SV158 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1777]) ).
thf(1862,plain,
! [SV123: x_a > $o,SV158: x_a > $o,SV64: x_a] :
( ( ~ ~ ( ~ ( member_a @ SV64 @ SV158 )
| ~ ( ord_less_eq_a_o @ SV123 @ SV158 ) )
| ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SV158 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1778]) ).
thf(1863,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 )
| ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1779]) ).
thf(1864,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 )
| ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) )
= $false )
| ( ( SV65 = SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1780]) ).
thf(1865,plain,
! [SV66: x_a > $o,SV125: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV125 @ SV66 )
= $false )
| ( ( SV66 = SV125 )
= $true )
| ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1781]) ).
thf(1866,plain,
! [SV160: x_a,SV69: x_a > $o,SV3: x_a] :
( ( ( ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 )
| ( insert_a @ SV3 @ SV69 @ SV160 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 )
| ~ ( insert_a @ SV3 @ SV69 @ SV160 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1783]) ).
thf(1867,plain,
! [SV169: x_a,SV128: x_a > $o,SV70: x_a,SV4: x_a] :
( ( ( ~ ( ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 )
| ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 )
| ~ ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1784]) ).
thf(1868,plain,
! [SV170: x_a,SV129: pname > $o,SV72: pname,SV7: pname > x_a] :
( ( ( ~ ( ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 )
| ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 ) ) )
= $true )
| ( ( ~ ( ~ ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 )
| ~ ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1786]) ).
thf(1869,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $true )
= $false )
| ( SV11 = $false )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1788]) ).
thf(1870,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1789]) ).
thf(1871,plain,
! [SV11: $o] :
( ( SV11 = $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1790]) ).
thf(1872,plain,
! [SV11: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1790]) ).
thf(1873,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1791]) ).
thf(1874,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1792]) ).
thf(1875,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1793]) ).
thf(1876,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1793]) ).
thf(1877,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1794]) ).
thf(1878,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1795]) ).
thf(1879,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1796]) ).
thf(1880,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1796]) ).
thf(1881,plain,
! [SV74: x_a > $o,SV12: x_a] :
( ( ~ ( ( insert_a @ SV12 @ SV74 @ ( sK1_SV163 @ SV74 @ SV12 ) )
| ( bot_bot_a_o @ ( sK1_SV163 @ SV74 @ SV12 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1797]) ).
thf(1882,plain,
! [SV74: x_a > $o,SV12: x_a] :
( ( ~ ( ~ ( insert_a @ SV12 @ SV74 @ ( sK1_SV163 @ SV74 @ SV12 ) )
| ~ ( bot_bot_a_o @ ( sK1_SV163 @ SV74 @ SV12 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1797]) ).
thf(1883,plain,
! [SV75: x_a,SV13: x_a > $o,SV130: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV130 @ SV13 )
= $false )
| ( ( member_a @ SV75 @ SV13 )
= $true )
| ( ( member_a @ SV75 @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1799]) ).
thf(1884,plain,
! [SV131: x_a > $o,SV14: x_a > $o,SV76: x_a] :
( ( ( ~ ~ ( member_a @ SV76 @ SV14 ) )
= $true )
| ( ( ~ ( ~ ( ( ( insert_a @ SV76 @ SV131 )
!= ( insert_a @ SV76 @ SV14 ) )
| ( SV131 = SV14 ) )
| ~ ( ( SV131 != SV14 )
| ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) ) ) ) )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1800]) ).
thf(1885,plain,
! [SV15: x_a,SV132: x_a > $o,SV77: x_a] :
( ( ( ~ ( member_a @ SV77 @ SV132 ) )
= $true )
| ( ( member_a @ SV77 @ ( insert_a @ SV15 @ SV132 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1801]) ).
thf(1886,plain,
! [SV78: x_a > $o,SV16: x_a > $o,SV133: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV133 @ SV16 )
= $false )
| ( ( ord_less_eq_a_o @ SV78 @ SV16 )
= $true )
| ( ( ord_less_eq_a_o @ SV78 @ SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1803]) ).
thf(1887,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( SV17 = SV79 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1804]) ).
thf(1888,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) ) )
= $false )
| ( ( SV17 = SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1805]) ).
thf(1889,plain,
! [SV80: x_a,SV18: x_a] :
( ( ( ~ ( ( insert_a @ SV18 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) )
| ( insert_a @ SV80 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) ) )
| ~ ( ~ ( insert_a @ SV18 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) )
| ~ ( insert_a @ SV80 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) ) ) )
= $false )
| ( ( SV18 = SV80 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1806]) ).
thf(1890,plain,
! [SV80: x_a,SV18: x_a] :
( ( ( ( insert_a @ SV18 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) )
= ( insert_a @ SV80 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) ) )
= $false )
| ( ( SV18 = SV80 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1806]) ).
thf(1891,plain,
! [SV81: x_a > $o,SV19: x_a > $o] :
( ( ( member_a @ ( sK2_SY269 @ SV19 @ SV81 ) @ SV81 )
= $true )
| ( ( ord_less_eq_a_o @ SV81 @ SV19 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1807]) ).
thf(1892,plain,
! [SV172: x_a,SV20: x_a > $o] :
( ( ( ~ ( ( SV20 @ SV172 )
| ( bot_bot_a_o @ SV172 ) ) )
= $true )
| ( ( ~ ( ~ ( SV20 @ SV172 )
| ~ ( bot_bot_a_o @ SV172 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1809]) ).
thf(1893,plain,
! [SV22: x_a > $o] :
( ( ( ! [SV183: x_a] :
( ( SV22 @ SV183 )
= ( bot_bot_a_o @ SV183 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1811]) ).
thf(1894,plain,
! [SV22: x_a > $o] :
( ( ( SV22 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1811]) ).
thf(1895,plain,
! [SV22: x_a > $o] :
( ( ( ! [SV184: x_a] :
( ( SV22 @ SV184 )
= ( bot_bot_a_o @ SV184 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1812]) ).
thf(1896,plain,
! [SV22: x_a > $o] :
( ( ( SV22 = bot_bot_a_o )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1812]) ).
thf(1897,plain,
! [SV134: x_a > $o,SV23: x_a > $o,SV83: x_a > $o] :
( ( ( ( SV83 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
= ( SV134 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV134 @ SV23 )
| ( ord_less_eq_a_o @ SV83 @ SV23 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1813]) ).
thf(1898,plain,
! [SV83: x_a > $o,SV23: x_a > $o,SV134: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV134 @ SV23 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV83 @ SV23 )
= $true )
| ( ( SV83 = SV134 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1814]) ).
thf(1899,plain,
! [SV25: x_a > $o] :
( ( ( ! [SV185: x_a] :
( ( SV25 @ SV185 )
= ( bot_bot_a_o @ SV185 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1815]) ).
thf(1900,plain,
! [SV25: x_a > $o] :
( ( ( SV25 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1815]) ).
thf(1901,plain,
! [SV25: x_a > $o] :
( ( ( ! [SV186: x_a] :
( ( SV25 @ SV186 )
= ( bot_bot_a_o @ SV186 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1816]) ).
thf(1902,plain,
! [SV25: x_a > $o] :
( ( ( SV25 = bot_bot_a_o )
= $false )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1816]) ).
thf(1903,plain,
! [SV136: x_a > $o,SV85: x_a,SV26: x_a] :
( ( ( SV26 != SV85 )
= $false )
| ( ( member_a @ SV26 @ SV136 )
= $true )
| ( ( member_a @ SV26 @ ( insert_a @ SV85 @ SV136 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1817]) ).
thf(1904,plain,
! [SV137: x_a > $o,SV86: x_a > $o,SV27: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV27 @ SV86 )
= $false )
| ( ( ord_less_eq_a_o @ SV27 @ SV137 )
= $true )
| ( ( ord_less_eq_a_o @ SV86 @ SV137 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1818]) ).
thf(1905,plain,
! [SV138: x_a > $o,SV28: x_a > $o,SV87: x_a > $o] :
( ( ( SV87 = SV28 )
= $false )
| ( ( ord_less_eq_a_o @ SV28 @ SV138 )
= $true )
| ( ( ord_less_eq_a_o @ SV87 @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1819]) ).
thf(1906,plain,
! [SV165: x_a,SV88: x_a > $o,SV29: x_a] :
( ( ( ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 )
| ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 )
| ~ ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1820]) ).
thf(1907,plain,
! [SV166: x_a,SV140: x_a,SV89: x_a,SV30: x_a] :
( ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
!= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
| ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1821]) ).
thf(1908,plain,
! [SV166: x_a,SV89: x_a,SV140: x_a,SV30: x_a] :
( ( ~ ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1822]) ).
thf(1909,plain,
! [SV90: x_a > $o,SV31: x_a] :
( ( ( finite_finite_a @ ( insert_a @ SV31 @ SV90 ) )
= $false )
| ( ( finite_finite_a @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1823]) ).
thf(1910,plain,
! [SV31: x_a,SV90: x_a > $o] :
( ( ( finite_finite_a @ SV90 )
= $false )
| ( ( finite_finite_a @ ( insert_a @ SV31 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1824]) ).
thf(1911,plain,
! [SV91: x_a > $o,SV32: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV32 @ SV91 )
= $false )
| ( ( ! [SY278: x_a] : ( ord_less_eq_o @ ( SV32 @ SY278 ) @ ( SV91 @ SY278 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1825]) ).
thf(1912,plain,
! [SV91: x_a > $o,SV32: x_a > $o] :
( ( ( ! [SY279: x_a] : ( ord_less_eq_o @ ( SV32 @ SY279 ) @ ( SV91 @ SY279 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV32 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1826]) ).
thf(1913,plain,
! [SV33: x_a > $o,SV92: x_a > $o] :
( ( ( ! [SV187: x_a] :
( ( SV92 @ SV187 )
= ( SV33 @ SV187 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV92 @ SV33 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1827]) ).
thf(1914,plain,
! [SV33: x_a > $o,SV92: x_a > $o] :
( ( ( SV92 = SV33 )
= $true )
| ( ( ord_less_eq_a_o @ SV92 @ SV33 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1827]) ).
thf(1915,plain,
! [SV93: x_a > $o,SV34: x_a > $o,SV141: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV141 @ SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV93 @ SV34 )
= $true )
| ( ( ord_less_eq_a_o @ SV93 @ SV141 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1828]) ).
thf(1916,plain,
! [SV143: x_a > $o,SV95: x_a > $o,SV36: x_a] :
( ( ( member_a @ SV36 @ SV95 )
= $false )
| ( ( member_a @ SV36 @ SV143 )
= $true )
| ( ( ord_less_eq_a_o @ SV95 @ SV143 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1829]) ).
thf(1917,plain,
! [SV167: x_a > $o,SV145: x_a > $o,SV97: x_a > $o,SV38: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV38 @ SV97 ) )
= $true )
| ( ( ord_less_eq_a_o @ ( minus_minus_a_o @ SV145 @ SV97 ) @ ( minus_minus_a_o @ SV167 @ SV38 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV145 @ SV167 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1830]) ).
thf(1918,plain,
! [SV39: x_a > $o,SV98: x_a,SV146: x_a > $o] :
( ( ( ~ ( ~ ( ord_less_eq_a_o @ SV146 @ ( insert_a @ SV98 @ SV39 ) )
| ( ord_less_eq_a_o @ SV146 @ SV39 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SV146 @ SV39 )
| ( ord_less_eq_a_o @ SV146 @ ( insert_a @ SV98 @ SV39 ) ) ) )
= $false )
| ( ( member_a @ SV98 @ SV146 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1831]) ).
thf(1919,plain,
! [SV99: x_a > $o,SV40: x_a > $o,SV147: x_a > $o] :
( ( ( SV147 = SV40 )
= $false )
| ( ( ord_less_eq_a_o @ SV99 @ SV40 )
= $true )
| ( ( ord_less_eq_a_o @ SV99 @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1832]) ).
thf(1920,plain,
! [SV179: x_a,SV100: x_a > $o,SV41: x_a] :
( ( ( ~ ( ( insert_a @ SV41 @ SV100 @ SV179 )
| ( SV100 @ SV179 ) )
| ~ ( ~ ( insert_a @ SV41 @ SV100 @ SV179 )
| ~ ( SV100 @ SV179 ) ) )
= $true )
| ( ( member_a @ SV41 @ SV100 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1833]) ).
thf(1921,plain,
! [SV179: x_a,SV100: x_a > $o,SV41: x_a] :
( ( ( ( insert_a @ SV41 @ SV100 @ SV179 )
= ( SV100 @ SV179 ) )
= $true )
| ( ( member_a @ SV41 @ SV100 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1833]) ).
thf(1922,plain,
! [SV102: x_a,SV188: x_a,SV43: x_a > $o] :
( ( ( ( SV43 @ SV188 )
= ( bot_bot_a_o @ SV188 ) )
= $true )
| ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1834]) ).
thf(1923,plain,
! [SV102: x_a,SV43: x_a > $o] :
( ( ( ! [SV189: x_a] :
( ( SV43 @ SV189 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV189 ) ) )
= $true )
| ( ( SV43 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1835]) ).
thf(1924,plain,
! [SV102: x_a,SV43: x_a > $o] :
( ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( SV43 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1835]) ).
thf(1925,plain,
! [SV103: x_a > $o,SV44: x_a > $o,SV149: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV149 @ SV44 )
= $false )
| ( ( ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) )
= SV103 )
= $true )
| ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1836]) ).
thf(1926,plain,
! [SV104: x_a > $o,SV45: x_a > $o] :
( ( ( ~ ( ( SV45 @ ( sK6_SV174 @ SV104 @ SV45 ) )
| ( SV104 @ ( sK6_SV174 @ SV104 @ SV45 ) ) )
| ~ ( ~ ( SV45 @ ( sK6_SV174 @ SV104 @ SV45 ) )
| ~ ( SV104 @ ( sK6_SV174 @ SV104 @ SV45 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV104 @ SV45 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1837]) ).
thf(1927,plain,
! [SV104: x_a > $o,SV45: x_a > $o] :
( ( ( ( SV45 @ ( sK6_SV174 @ SV104 @ SV45 ) )
= ( SV104 @ ( sK6_SV174 @ SV104 @ SV45 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV104 @ SV45 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1837]) ).
thf(1928,plain,
! [SV47: x_a,SV106: x_a > $o] :
( ( ~ ( ( bot_bot_a_o @ ( sK4_SV168 @ SV106 @ SV47 ) )
| ( insert_a @ SV47 @ SV106 @ ( sK4_SV168 @ SV106 @ SV47 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1838]) ).
thf(1929,plain,
! [SV47: x_a,SV106: x_a > $o] :
( ( ~ ( ~ ( bot_bot_a_o @ ( sK4_SV168 @ SV106 @ SV47 ) )
| ~ ( insert_a @ SV47 @ SV106 @ ( sK4_SV168 @ SV106 @ SV47 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1838]) ).
thf(1930,plain,
! [SV150: x_a > $o,SV108: x_a > $o,SV49: x_a] :
( ( ( member_a @ SV49 @ SV108 )
= $false )
| ( ( member_a @ SV49 @ SV150 )
= $true )
| ( ( ord_less_eq_a_o @ SV108 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1841]) ).
thf(1931,plain,
! [SV151: x_a > $o,SV50: x_a > $o,SV109: x_a > $o] :
( ( ( ( SV109 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
= ( SV151 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV50 @ SV151 )
| ( ord_less_eq_a_o @ SV50 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1842]) ).
thf(1932,plain,
! [SV109: x_a > $o,SV151: x_a > $o,SV50: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV50 @ SV151 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV50 @ SV109 )
= $true )
| ( ( SV109 = SV151 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1843]) ).
thf(1933,plain,
! [SV110: x_a > $o,SV51: x_a > $o] :
( ( ( ~ ( ( SV51 @ ( sK7_SV175 @ SV110 @ SV51 ) )
| ( SV110 @ ( sK7_SV175 @ SV110 @ SV51 ) ) )
| ~ ( ~ ( SV51 @ ( sK7_SV175 @ SV110 @ SV51 ) )
| ~ ( SV110 @ ( sK7_SV175 @ SV110 @ SV51 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ SV110 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1844]) ).
thf(1934,plain,
! [SV110: x_a > $o,SV51: x_a > $o] :
( ( ( ( SV51 @ ( sK7_SV175 @ SV110 @ SV51 ) )
= ( SV110 @ ( sK7_SV175 @ SV110 @ SV51 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ SV110 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1844]) ).
thf(1935,plain,
! [SV152: x_a > $o,SV111: x_a > $o,SV52: x_a] :
( ( ( member_a @ SV52 @ SV111 )
= $false )
| ( ( member_a @ SV52 @ SV152 )
= $true )
| ( ( ord_less_eq_a_o @ SV111 @ SV152 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1845]) ).
thf(1936,plain,
! [SV153: x_a > $o,SV112: x_a,SV53: x_a] :
( ( ( ~ ( member_a @ SV53 @ ( insert_a @ SV112 @ SV153 ) ) )
= $true )
| ( ( ( SV53 = SV112 )
| ( member_a @ SV53 @ SV153 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1846]) ).
thf(1937,plain,
! [SV153: x_a > $o,SV112: x_a,SV53: x_a] :
( ( ( ~ ( ( SV53 = SV112 )
| ( member_a @ SV53 @ SV153 ) ) )
= $true )
| ( ( member_a @ SV53 @ ( insert_a @ SV112 @ SV153 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1847]) ).
thf(1938,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( SV55 = SV114 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1849]) ).
thf(1939,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) ) )
= $false )
| ( ( SV55 = SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1850]) ).
thf(1940,plain,
! [SV190: x_a,SV154: pname > $o,SV116: pname,SV57: pname > x_a] :
( ( ( ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 )
= ( image_pname_a @ SV57 @ SV154 @ SV190 ) )
= $true )
| ( ( member_pname @ SV116 @ SV154 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1851]) ).
thf(1941,plain,
! [SV117: x_a > $o,SV58: x_a > $o] :
( ( ( ~ ( ( SV58 @ ( sK8_SV176 @ SV117 @ SV58 ) )
| ( SV117 @ ( sK8_SV176 @ SV117 @ SV58 ) ) )
| ~ ( ~ ( SV58 @ ( sK8_SV176 @ SV117 @ SV58 ) )
| ~ ( SV117 @ ( sK8_SV176 @ SV117 @ SV58 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV58 @ SV117 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1853]) ).
thf(1942,plain,
! [SV117: x_a > $o,SV58: x_a > $o] :
( ( ( ( SV58 @ ( sK8_SV176 @ SV117 @ SV58 ) )
= ( SV117 @ ( sK8_SV176 @ SV117 @ SV58 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV58 @ SV117 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1853]) ).
thf(1943,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV118 @ SV59 )
| ( SV118 = SV59 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1854]) ).
thf(1944,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( ( SV118 != SV59 )
| ( ord_less_eq_a_o @ SV118 @ SV59 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1855]) ).
thf(1945,plain,
! [SV120: x_a > $o,SV61: x_a > $o] :
( ( ( ! [SV191: x_a] :
( ( SV61 @ SV191 )
= ( SV120 @ SV191 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV120 @ SV61 )
= $false )
| ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1856]) ).
thf(1946,plain,
! [SV120: x_a > $o,SV61: x_a > $o] :
( ( ( SV61 = SV120 )
= $true )
| ( ( ord_less_eq_a_o @ SV120 @ SV61 )
= $false )
| ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1856]) ).
thf(1947,plain,
! [SV156: x_a,SV121: x_a > $o,SV62: x_a] :
( ( ( ~ ( insert_a @ SV62 @ SV121 @ SV156 ) )
= $true )
| ( ( ( SV62 = SV156 )
| ( SV121 @ SV156 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1857]) ).
thf(1948,plain,
! [SV121: x_a > $o,SV156: x_a,SV62: x_a] :
( ( ( ~ ( ( SV62 = SV156 )
| ( SV121 @ SV156 ) ) )
= $true )
| ( ( insert_a @ SV62 @ SV121 @ SV156 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1858]) ).
thf(1949,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV63: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) ) )
= $true )
| ( ( ~ ! [SY306: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY306 @ SV157 )
| ( SV63
!= ( image_pname_a @ SV122 @ SY306 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1859]) ).
thf(1950,plain,
! [SV122: pname > x_a,SV63: x_a > $o,SV157: pname > $o] :
( ( ( ~ ~ ! [SY307: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY307 @ SV157 )
| ( SV63
!= ( image_pname_a @ SV122 @ SY307 ) ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1860]) ).
thf(1951,plain,
! [SV158: x_a > $o,SV123: x_a > $o,SV64: x_a] :
( ( ( ~ ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SV158 ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV64 @ SV158 )
| ~ ( ord_less_eq_a_o @ SV123 @ SV158 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1861]) ).
thf(1952,plain,
! [SV123: x_a > $o,SV158: x_a > $o,SV64: x_a] :
( ( ( ~ ~ ( ~ ( member_a @ SV64 @ SV158 )
| ~ ( ord_less_eq_a_o @ SV123 @ SV158 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SV158 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1862]) ).
thf(1953,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( ~ ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
| ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) ) )
| ~ ( ~ ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
| ~ ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 )
| ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1863]) ).
thf(1954,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 )
| ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1863]) ).
thf(1955,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 ) )
= $false )
| ( ( SV65 = SV124 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1864]) ).
thf(1956,plain,
! [SV65: x_a > $o,SV124: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) )
= $false )
| ( ( SV65 = SV124 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1864]) ).
thf(1957,plain,
! [SV125: x_a > $o,SV66: x_a > $o] :
( ( ( ! [SV192: x_a] :
( ( SV66 @ SV192 )
= ( SV125 @ SV192 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV125 @ SV66 )
= $false )
| ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1865]) ).
thf(1958,plain,
! [SV125: x_a > $o,SV66: x_a > $o] :
( ( ( SV66 = SV125 )
= $true )
| ( ( ord_less_eq_a_o @ SV125 @ SV66 )
= $false )
| ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1865]) ).
thf(1959,plain,
! [SV160: x_a,SV69: x_a > $o,SV3: x_a] :
( ( ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 )
| ~ ( insert_a @ SV3 @ SV69 @ SV160 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1866]) ).
thf(1960,plain,
! [SV160: x_a,SV69: x_a > $o,SV3: x_a] :
( ( ( insert_a @ SV3 @ SV69 @ SV160 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 )
| ~ ( insert_a @ SV3 @ SV69 @ SV160 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1866]) ).
thf(1961,plain,
! [SV169: x_a,SV128: x_a > $o,SV70: x_a,SV4: x_a] :
( ( ( ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 )
| ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 )
| ~ ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1867]) ).
thf(1962,plain,
! [SV170: x_a,SV129: pname > $o,SV72: pname,SV7: pname > x_a] :
( ( ( ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 )
| ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 ) )
= $false )
| ( ( ~ ( ~ ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 )
| ~ ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1868]) ).
thf(1963,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( SV11 = $false )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1869]) ).
thf(1964,plain,
! [SV11: $o] :
( ( ( ~ $true ) = $false )
| ( SV11 = $false )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1869]) ).
thf(1965,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( $true = $false )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1870]) ).
thf(1966,plain,
! [SV11: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1870]) ).
thf(1967,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $false )
= $false )
| ( SV11 = $false )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1871]) ).
thf(1968,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1872]) ).
thf(1969,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1873]) ).
thf(1970,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1873]) ).
thf(1971,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1874]) ).
thf(1972,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1874]) ).
thf(1973,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1875]) ).
thf(1974,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1876]) ).
thf(1975,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1877]) ).
thf(1976,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1877]) ).
thf(1977,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1878]) ).
thf(1978,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1878]) ).
thf(1979,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1879]) ).
thf(1980,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1880]) ).
thf(1981,plain,
! [SV74: x_a > $o,SV12: x_a] :
( ( ( insert_a @ SV12 @ SV74 @ ( sK1_SV163 @ SV74 @ SV12 ) )
| ( bot_bot_a_o @ ( sK1_SV163 @ SV74 @ SV12 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1881]) ).
thf(1982,plain,
! [SV74: x_a > $o,SV12: x_a] :
( ( ~ ( insert_a @ SV12 @ SV74 @ ( sK1_SV163 @ SV74 @ SV12 ) )
| ~ ( bot_bot_a_o @ ( sK1_SV163 @ SV74 @ SV12 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1882]) ).
thf(1983,plain,
! [SV131: x_a > $o,SV14: x_a > $o,SV76: x_a] :
( ( ( ~ ( member_a @ SV76 @ SV14 ) )
= $false )
| ( ( ~ ( ~ ( ( ( insert_a @ SV76 @ SV131 )
!= ( insert_a @ SV76 @ SV14 ) )
| ( SV131 = SV14 ) )
| ~ ( ( SV131 != SV14 )
| ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) ) ) ) )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1884]) ).
thf(1984,plain,
! [SV15: x_a,SV132: x_a > $o,SV77: x_a] :
( ( ( member_a @ SV77 @ SV132 )
= $false )
| ( ( member_a @ SV77 @ ( insert_a @ SV15 @ SV132 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1885]) ).
thf(1985,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ! [SV193: x_a] :
( ( SV17 @ SV193 )
= ( SV79 @ SV193 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1887]) ).
thf(1986,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( SV17 = SV79 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1887]) ).
thf(1987,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) )
= $true )
| ( ( SV17 = SV79 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1888]) ).
thf(1988,plain,
! [SV80: x_a,SV18: x_a] :
( ( ( ~ ( ( insert_a @ SV18 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) )
| ( insert_a @ SV80 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) ) ) )
= $false )
| ( ( SV18 = SV80 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1889]) ).
thf(1989,plain,
! [SV80: x_a,SV18: x_a] :
( ( ( ~ ( ~ ( insert_a @ SV18 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) )
| ~ ( insert_a @ SV80 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) ) ) )
= $false )
| ( ( SV18 = SV80 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1889]) ).
thf(1990,plain,
! [SV172: x_a,SV20: x_a > $o] :
( ( ( ( SV20 @ SV172 )
| ( bot_bot_a_o @ SV172 ) )
= $false )
| ( ( ~ ( ~ ( SV20 @ SV172 )
| ~ ( bot_bot_a_o @ SV172 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1892]) ).
thf(1991,plain,
! [SV194: x_a,SV22: x_a > $o] :
( ( ( ( SV22 @ SV194 )
= ( bot_bot_a_o @ SV194 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1893]) ).
thf(1992,plain,
! [SV22: x_a > $o] :
( ( ( ( SV22 @ ( sK12_SV184 @ SV22 ) )
= ( bot_bot_a_o @ ( sK12_SV184 @ SV22 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1895]) ).
thf(1993,plain,
! [SV134: x_a > $o,SV23: x_a > $o,SV83: x_a > $o] :
( ( ( ~ ( ( SV83 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
| ( SV134 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) ) )
| ~ ( ~ ( SV83 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
| ~ ( SV134 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV134 @ SV23 )
| ( ord_less_eq_a_o @ SV83 @ SV23 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1897]) ).
thf(1994,plain,
! [SV134: x_a > $o,SV23: x_a > $o,SV83: x_a > $o] :
( ( ( ( SV83 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
= ( SV134 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV134 @ SV23 )
| ( ord_less_eq_a_o @ SV83 @ SV23 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1897]) ).
thf(1995,plain,
! [SV83: x_a > $o,SV23: x_a > $o,SV134: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV134 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV83 @ SV23 )
= $true )
| ( ( SV83 = SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1898]) ).
thf(1996,plain,
! [SV195: x_a,SV25: x_a > $o] :
( ( ( ( SV25 @ SV195 )
= ( bot_bot_a_o @ SV195 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1899]) ).
thf(1997,plain,
! [SV25: x_a > $o] :
( ( ( ( SV25 @ ( sK13_SV186 @ SV25 ) )
= ( bot_bot_a_o @ ( sK13_SV186 @ SV25 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1901]) ).
thf(1998,plain,
! [SV136: x_a > $o,SV85: x_a,SV26: x_a] :
( ( ( SV26 = SV85 )
= $true )
| ( ( member_a @ SV26 @ SV136 )
= $true )
| ( ( member_a @ SV26 @ ( insert_a @ SV85 @ SV136 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1903]) ).
thf(1999,plain,
! [SV138: x_a > $o,SV28: x_a > $o,SV87: x_a > $o] :
( ( ( ! [SV196: x_a] :
( ( SV87 @ SV196 )
= ( SV28 @ SV196 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV28 @ SV138 )
= $true )
| ( ( ord_less_eq_a_o @ SV87 @ SV138 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1905]) ).
thf(2000,plain,
! [SV138: x_a > $o,SV28: x_a > $o,SV87: x_a > $o] :
( ( ( SV87 = SV28 )
= $false )
| ( ( ord_less_eq_a_o @ SV28 @ SV138 )
= $true )
| ( ( ord_less_eq_a_o @ SV87 @ SV138 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1905]) ).
thf(2001,plain,
! [SV165: x_a,SV88: x_a > $o,SV29: x_a] :
( ( ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 )
| ~ ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1906]) ).
thf(2002,plain,
! [SV165: x_a,SV88: x_a > $o,SV29: x_a] :
( ( ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 )
| ~ ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1906]) ).
thf(2003,plain,
! [SV166: x_a,SV140: x_a,SV89: x_a,SV30: x_a] :
( ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
!= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $true )
| ( ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1907]) ).
thf(2004,plain,
! [SV166: x_a,SV89: x_a,SV140: x_a,SV30: x_a] :
( ( ( ~ ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) ) )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1908]) ).
thf(2005,plain,
! [SV91: x_a > $o,SV197: x_a,SV32: x_a > $o] :
( ( ( ord_less_eq_o @ ( SV32 @ SV197 ) @ ( SV91 @ SV197 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV32 @ SV91 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1911]) ).
thf(2006,plain,
! [SV91: x_a > $o,SV32: x_a > $o] :
( ( ( ord_less_eq_o @ ( SV32 @ ( sK14_SY279 @ SV91 @ SV32 ) ) @ ( SV91 @ ( sK14_SY279 @ SV91 @ SV32 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV32 @ SV91 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1912]) ).
thf(2007,plain,
! [SV33: x_a > $o,SV198: x_a,SV92: x_a > $o] :
( ( ( ( SV92 @ SV198 )
= ( SV33 @ SV198 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV92 @ SV33 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1913]) ).
thf(2008,plain,
! [SV167: x_a > $o,SV145: x_a > $o,SV97: x_a > $o,SV38: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV38 @ SV97 )
= $false )
| ( ( ord_less_eq_a_o @ ( minus_minus_a_o @ SV145 @ SV97 ) @ ( minus_minus_a_o @ SV167 @ SV38 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV145 @ SV167 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1917]) ).
thf(2009,plain,
! [SV39: x_a > $o,SV98: x_a,SV146: x_a > $o] :
( ( ( ~ ( ~ ( ord_less_eq_a_o @ SV146 @ ( insert_a @ SV98 @ SV39 ) )
| ( ord_less_eq_a_o @ SV146 @ SV39 ) ) )
= $false )
| ( ( member_a @ SV98 @ SV146 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1918]) ).
thf(2010,plain,
! [SV98: x_a,SV39: x_a > $o,SV146: x_a > $o] :
( ( ( ~ ( ~ ( ord_less_eq_a_o @ SV146 @ SV39 )
| ( ord_less_eq_a_o @ SV146 @ ( insert_a @ SV98 @ SV39 ) ) ) )
= $false )
| ( ( member_a @ SV98 @ SV146 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1918]) ).
thf(2011,plain,
! [SV99: x_a > $o,SV40: x_a > $o,SV147: x_a > $o] :
( ( ( ! [SV199: x_a] :
( ( SV147 @ SV199 )
= ( SV40 @ SV199 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV99 @ SV40 )
= $true )
| ( ( ord_less_eq_a_o @ SV99 @ SV147 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1919]) ).
thf(2012,plain,
! [SV99: x_a > $o,SV40: x_a > $o,SV147: x_a > $o] :
( ( ( SV147 = SV40 )
= $false )
| ( ( ord_less_eq_a_o @ SV99 @ SV40 )
= $true )
| ( ( ord_less_eq_a_o @ SV99 @ SV147 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1919]) ).
thf(2013,plain,
! [SV179: x_a,SV100: x_a > $o,SV41: x_a] :
( ( ( ~ ( ( insert_a @ SV41 @ SV100 @ SV179 )
| ( SV100 @ SV179 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV41 @ SV100 @ SV179 )
| ~ ( SV100 @ SV179 ) ) )
= $true )
| ( ( member_a @ SV41 @ SV100 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1920]) ).
thf(2014,plain,
! [SV102: x_a,SV188: x_a,SV43: x_a > $o] :
( ( ( ~ ( ( SV43 @ SV188 )
| ( bot_bot_a_o @ SV188 ) )
| ~ ( ~ ( SV43 @ SV188 )
| ~ ( bot_bot_a_o @ SV188 ) ) )
= $true )
| ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1922]) ).
thf(2015,plain,
! [SV102: x_a,SV188: x_a,SV43: x_a > $o] :
( ( ( ( SV43 @ SV188 )
= ( bot_bot_a_o @ SV188 ) )
= $true )
| ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1922]) ).
thf(2016,plain,
! [SV102: x_a,SV200: x_a,SV43: x_a > $o] :
( ( ( ( SV43 @ SV200 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV200 ) )
= $true )
| ( ( SV43 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1923]) ).
thf(2017,plain,
! [SV103: x_a > $o,SV44: x_a > $o,SV149: x_a > $o] :
( ( ( ! [SV201: x_a] :
( ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV201 )
= ( SV103 @ SV201 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV149 @ SV44 )
= $false )
| ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1925]) ).
thf(2018,plain,
! [SV103: x_a > $o,SV44: x_a > $o,SV149: x_a > $o] :
( ( ( ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) )
= SV103 )
= $true )
| ( ( ord_less_eq_a_o @ SV149 @ SV44 )
= $false )
| ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1925]) ).
thf(2019,plain,
! [SV104: x_a > $o,SV45: x_a > $o] :
( ( ( ~ ( ( SV45 @ ( sK6_SV174 @ SV104 @ SV45 ) )
| ( SV104 @ ( sK6_SV174 @ SV104 @ SV45 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV104 @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1926]) ).
thf(2020,plain,
! [SV104: x_a > $o,SV45: x_a > $o] :
( ( ( ~ ( ~ ( SV45 @ ( sK6_SV174 @ SV104 @ SV45 ) )
| ~ ( SV104 @ ( sK6_SV174 @ SV104 @ SV45 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV104 @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1926]) ).
thf(2021,plain,
! [SV47: x_a,SV106: x_a > $o] :
( ( ( bot_bot_a_o @ ( sK4_SV168 @ SV106 @ SV47 ) )
| ( insert_a @ SV47 @ SV106 @ ( sK4_SV168 @ SV106 @ SV47 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1928]) ).
thf(2022,plain,
! [SV47: x_a,SV106: x_a > $o] :
( ( ~ ( bot_bot_a_o @ ( sK4_SV168 @ SV106 @ SV47 ) )
| ~ ( insert_a @ SV47 @ SV106 @ ( sK4_SV168 @ SV106 @ SV47 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1929]) ).
thf(2023,plain,
! [SV151: x_a > $o,SV50: x_a > $o,SV109: x_a > $o] :
( ( ( ~ ( ( SV109 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
| ( SV151 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) ) )
| ~ ( ~ ( SV109 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
| ~ ( SV151 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV50 @ SV151 )
| ( ord_less_eq_a_o @ SV50 @ SV109 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1931]) ).
thf(2024,plain,
! [SV151: x_a > $o,SV50: x_a > $o,SV109: x_a > $o] :
( ( ( ( SV109 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
= ( SV151 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV50 @ SV151 )
| ( ord_less_eq_a_o @ SV50 @ SV109 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1931]) ).
thf(2025,plain,
! [SV109: x_a > $o,SV151: x_a > $o,SV50: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV50 @ SV151 )
= $false )
| ( ( ord_less_eq_a_o @ SV50 @ SV109 )
= $true )
| ( ( SV109 = SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1932]) ).
thf(2026,plain,
! [SV110: x_a > $o,SV51: x_a > $o] :
( ( ( ~ ( ( SV51 @ ( sK7_SV175 @ SV110 @ SV51 ) )
| ( SV110 @ ( sK7_SV175 @ SV110 @ SV51 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ SV110 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1933]) ).
thf(2027,plain,
! [SV110: x_a > $o,SV51: x_a > $o] :
( ( ( ~ ( ~ ( SV51 @ ( sK7_SV175 @ SV110 @ SV51 ) )
| ~ ( SV110 @ ( sK7_SV175 @ SV110 @ SV51 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ SV110 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1933]) ).
thf(2028,plain,
! [SV153: x_a > $o,SV112: x_a,SV53: x_a] :
( ( ( member_a @ SV53 @ ( insert_a @ SV112 @ SV153 ) )
= $false )
| ( ( ( SV53 = SV112 )
| ( member_a @ SV53 @ SV153 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1936]) ).
thf(2029,plain,
! [SV153: x_a > $o,SV112: x_a,SV53: x_a] :
( ( ( ( SV53 = SV112 )
| ( member_a @ SV53 @ SV153 ) )
= $false )
| ( ( member_a @ SV53 @ ( insert_a @ SV112 @ SV153 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1937]) ).
thf(2030,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ! [SV202: x_a] :
( ( SV55 @ SV202 )
= ( SV114 @ SV202 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1938]) ).
thf(2031,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( SV55 = SV114 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1938]) ).
thf(2032,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) )
= $true )
| ( ( SV55 = SV114 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1939]) ).
thf(2033,plain,
! [SV190: x_a,SV154: pname > $o,SV116: pname,SV57: pname > x_a] :
( ( ( ~ ( ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 )
| ( image_pname_a @ SV57 @ SV154 @ SV190 ) )
| ~ ( ~ ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 )
| ~ ( image_pname_a @ SV57 @ SV154 @ SV190 ) ) )
= $true )
| ( ( member_pname @ SV116 @ SV154 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1940]) ).
thf(2034,plain,
! [SV190: x_a,SV154: pname > $o,SV116: pname,SV57: pname > x_a] :
( ( ( ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 )
= ( image_pname_a @ SV57 @ SV154 @ SV190 ) )
= $true )
| ( ( member_pname @ SV116 @ SV154 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1940]) ).
thf(2035,plain,
! [SV117: x_a > $o,SV58: x_a > $o] :
( ( ( ~ ( ( SV58 @ ( sK8_SV176 @ SV117 @ SV58 ) )
| ( SV117 @ ( sK8_SV176 @ SV117 @ SV58 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV58 @ SV117 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1941]) ).
thf(2036,plain,
! [SV117: x_a > $o,SV58: x_a > $o] :
( ( ( ~ ( ~ ( SV58 @ ( sK8_SV176 @ SV117 @ SV58 ) )
| ~ ( SV117 @ ( sK8_SV176 @ SV117 @ SV58 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV58 @ SV117 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1941]) ).
thf(2037,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV118 @ SV59 ) )
= $true )
| ( ( SV118 = SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1943]) ).
thf(2038,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( SV118 != SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1944]) ).
thf(2039,plain,
! [SV120: x_a > $o,SV203: x_a,SV61: x_a > $o] :
( ( ( ( SV61 @ SV203 )
= ( SV120 @ SV203 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV120 @ SV61 )
= $false )
| ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1945]) ).
thf(2040,plain,
! [SV156: x_a,SV121: x_a > $o,SV62: x_a] :
( ( ( insert_a @ SV62 @ SV121 @ SV156 )
= $false )
| ( ( ( SV62 = SV156 )
| ( SV121 @ SV156 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1947]) ).
thf(2041,plain,
! [SV121: x_a > $o,SV156: x_a,SV62: x_a] :
( ( ( ( SV62 = SV156 )
| ( SV121 @ SV156 ) )
= $false )
| ( ( insert_a @ SV62 @ SV121 @ SV156 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1948]) ).
thf(2042,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV63: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false )
| ( ( ~ ! [SY306: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY306 @ SV157 )
| ( SV63
!= ( image_pname_a @ SV122 @ SY306 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1949]) ).
thf(2043,plain,
! [SV122: pname > x_a,SV63: x_a > $o,SV157: pname > $o] :
( ( ( ~ ! [SY307: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY307 @ SV157 )
| ( SV63
!= ( image_pname_a @ SV122 @ SY307 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1950]) ).
thf(2044,plain,
! [SV158: x_a > $o,SV123: x_a > $o,SV64: x_a] :
( ( ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SV158 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV64 @ SV158 )
| ~ ( ord_less_eq_a_o @ SV123 @ SV158 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1951]) ).
thf(2045,plain,
! [SV123: x_a > $o,SV158: x_a > $o,SV64: x_a] :
( ( ( ~ ( ~ ( member_a @ SV64 @ SV158 )
| ~ ( ord_less_eq_a_o @ SV123 @ SV158 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SV158 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1952]) ).
thf(2046,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( ~ ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
| ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 )
| ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1953]) ).
thf(2047,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( ~ ( ~ ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
| ~ ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 )
| ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1953]) ).
thf(2048,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 )
| ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) )
= $false )
| ( ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1954]) ).
thf(2049,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV65 @ SV124 )
= $true )
| ( ( SV65 = SV124 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1955]) ).
thf(2050,plain,
! [SV65: x_a > $o,SV124: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV124 @ SV65 )
= $true )
| ( ( SV65 = SV124 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1956]) ).
thf(2051,plain,
! [SV125: x_a > $o,SV204: x_a,SV66: x_a > $o] :
( ( ( ( SV66 @ SV204 )
= ( SV125 @ SV204 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV125 @ SV66 )
= $false )
| ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1957]) ).
thf(2052,plain,
! [SV160: x_a,SV69: x_a > $o,SV3: x_a] :
( ( ( ~ ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 )
| ~ ( insert_a @ SV3 @ SV69 @ SV160 ) )
= $false )
| ( ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1959]) ).
thf(2053,plain,
! [SV160: x_a,SV69: x_a > $o,SV3: x_a] :
( ( ( ~ ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 )
| ~ ( insert_a @ SV3 @ SV69 @ SV160 ) )
= $false )
| ( ( insert_a @ SV3 @ SV69 @ SV160 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1960]) ).
thf(2054,plain,
! [SV169: x_a,SV128: x_a > $o,SV70: x_a,SV4: x_a] :
( ( ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 )
| ~ ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1961]) ).
thf(2055,plain,
! [SV169: x_a,SV128: x_a > $o,SV4: x_a,SV70: x_a] :
( ( ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 )
| ~ ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1961]) ).
thf(2056,plain,
! [SV170: x_a,SV129: pname > $o,SV72: pname,SV7: pname > x_a] :
( ( ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 )
= $false )
| ( ( ~ ( ~ ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 )
| ~ ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1962]) ).
thf(2057,plain,
! [SV170: x_a,SV129: pname > $o,SV72: pname,SV7: pname > x_a] :
( ( ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 )
= $false )
| ( ( ~ ( ~ ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 )
| ~ ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1962]) ).
thf(2058,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( SV11 = $false )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1963]) ).
thf(2059,plain,
! [SV11: $o] :
( ( $true = $true )
| ( SV11 = $false )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1964]) ).
thf(2060,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( $true = $false )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1965]) ).
thf(2061,plain,
! [SV11: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1966]) ).
thf(2062,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( SV11 = $false )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1967]) ).
thf(2063,plain,
! [SV11: $o] :
( ( ( ~ $false ) = $false )
| ( SV11 = $false )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1967]) ).
thf(2064,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( $false = $false )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1968]) ).
thf(2065,plain,
! [SV11: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1968]) ).
thf(2066,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1969]) ).
thf(2067,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1970]) ).
thf(2068,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1971]) ).
thf(2069,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1972]) ).
thf(2070,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1973]) ).
thf(2071,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1973]) ).
thf(2072,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1974]) ).
thf(2073,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1974]) ).
thf(2074,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1975]) ).
thf(2075,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1976]) ).
thf(2076,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1977]) ).
thf(2077,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1978]) ).
thf(2078,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1979]) ).
thf(2079,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1979]) ).
thf(2080,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1980]) ).
thf(2081,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1980]) ).
thf(2082,plain,
! [SV74: x_a > $o,SV12: x_a] :
( ( ( insert_a @ SV12 @ SV74 @ ( sK1_SV163 @ SV74 @ SV12 ) )
= $true )
| ( ( bot_bot_a_o @ ( sK1_SV163 @ SV74 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1981]) ).
thf(2083,plain,
! [SV74: x_a > $o,SV12: x_a] :
( ( ( ~ ( insert_a @ SV12 @ SV74 @ ( sK1_SV163 @ SV74 @ SV12 ) ) )
= $true )
| ( ( ~ ( bot_bot_a_o @ ( sK1_SV163 @ SV74 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1982]) ).
thf(2084,plain,
! [SV131: x_a > $o,SV14: x_a > $o,SV76: x_a] :
( ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( ~ ( ~ ( ( ( insert_a @ SV76 @ SV131 )
!= ( insert_a @ SV76 @ SV14 ) )
| ( SV131 = SV14 ) )
| ~ ( ( SV131 != SV14 )
| ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) ) ) ) )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1983]) ).
thf(2085,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1985]) ).
thf(2086,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) )
= $false )
| ( ( SV17 = SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1986]) ).
thf(2087,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) )
= $true )
| ( ( SV17 = SV79 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1987]) ).
thf(2088,plain,
! [SV80: x_a,SV18: x_a] :
( ( ( ( insert_a @ SV18 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) )
| ( insert_a @ SV80 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) ) )
= $true )
| ( ( SV18 = SV80 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1988]) ).
thf(2089,plain,
! [SV80: x_a,SV18: x_a] :
( ( ( ~ ( insert_a @ SV18 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) )
| ~ ( insert_a @ SV80 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) ) )
= $true )
| ( ( SV18 = SV80 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1989]) ).
thf(2090,plain,
! [SV172: x_a,SV20: x_a > $o] :
( ( ( SV20 @ SV172 )
= $false )
| ( ( ~ ( ~ ( SV20 @ SV172 )
| ~ ( bot_bot_a_o @ SV172 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1990]) ).
thf(2091,plain,
! [SV20: x_a > $o,SV172: x_a] :
( ( ( bot_bot_a_o @ SV172 )
= $false )
| ( ( ~ ( ~ ( SV20 @ SV172 )
| ~ ( bot_bot_a_o @ SV172 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1990]) ).
thf(2092,plain,
! [SV194: x_a,SV22: x_a > $o] :
( ( ( ~ ( ( SV22 @ SV194 )
| ( bot_bot_a_o @ SV194 ) )
| ~ ( ~ ( SV22 @ SV194 )
| ~ ( bot_bot_a_o @ SV194 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1991]) ).
thf(2093,plain,
! [SV194: x_a,SV22: x_a > $o] :
( ( ( ( SV22 @ SV194 )
= ( bot_bot_a_o @ SV194 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1991]) ).
thf(2094,plain,
! [SV22: x_a > $o] :
( ( ( ~ ( ( SV22 @ ( sK12_SV184 @ SV22 ) )
| ( bot_bot_a_o @ ( sK12_SV184 @ SV22 ) ) )
| ~ ( ~ ( SV22 @ ( sK12_SV184 @ SV22 ) )
| ~ ( bot_bot_a_o @ ( sK12_SV184 @ SV22 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1992]) ).
thf(2095,plain,
! [SV22: x_a > $o] :
( ( ( ( SV22 @ ( sK12_SV184 @ SV22 ) )
= ( bot_bot_a_o @ ( sK12_SV184 @ SV22 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1992]) ).
thf(2096,plain,
! [SV134: x_a > $o,SV23: x_a > $o,SV83: x_a > $o] :
( ( ( ~ ( ( SV83 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
| ( SV134 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV134 @ SV23 )
| ( ord_less_eq_a_o @ SV83 @ SV23 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1993]) ).
thf(2097,plain,
! [SV134: x_a > $o,SV23: x_a > $o,SV83: x_a > $o] :
( ( ( ~ ( ~ ( SV83 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
| ~ ( SV134 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV134 @ SV23 )
| ( ord_less_eq_a_o @ SV83 @ SV23 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1993]) ).
thf(2098,plain,
! [SV83: x_a > $o,SV23: x_a > $o,SV134: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV134 @ SV23 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV83 @ SV23 )
= $true )
| ( ( ( SV83 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
= ( SV134 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1994]) ).
thf(2099,plain,
! [SV195: x_a,SV25: x_a > $o] :
( ( ( ~ ( ( SV25 @ SV195 )
| ( bot_bot_a_o @ SV195 ) )
| ~ ( ~ ( SV25 @ SV195 )
| ~ ( bot_bot_a_o @ SV195 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1996]) ).
thf(2100,plain,
! [SV195: x_a,SV25: x_a > $o] :
( ( ( ( SV25 @ SV195 )
= ( bot_bot_a_o @ SV195 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1996]) ).
thf(2101,plain,
! [SV25: x_a > $o] :
( ( ( ~ ( ( SV25 @ ( sK13_SV186 @ SV25 ) )
| ( bot_bot_a_o @ ( sK13_SV186 @ SV25 ) ) )
| ~ ( ~ ( SV25 @ ( sK13_SV186 @ SV25 ) )
| ~ ( bot_bot_a_o @ ( sK13_SV186 @ SV25 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1997]) ).
thf(2102,plain,
! [SV25: x_a > $o] :
( ( ( ( SV25 @ ( sK13_SV186 @ SV25 ) )
= ( bot_bot_a_o @ ( sK13_SV186 @ SV25 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1997]) ).
thf(2103,plain,
! [SV28: x_a > $o,SV138: x_a > $o,SV87: x_a > $o] :
( ( ( ( SV87 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) )
= ( SV28 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV28 @ SV138 )
= $true )
| ( ( ord_less_eq_a_o @ SV87 @ SV138 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1999]) ).
thf(2104,plain,
! [SV165: x_a,SV88: x_a > $o,SV29: x_a] :
( ( ( ~ ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 )
| ~ ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 ) )
= $false )
| ( ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2001]) ).
thf(2105,plain,
! [SV165: x_a,SV88: x_a > $o,SV29: x_a] :
( ( ( ~ ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 )
| ~ ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 ) )
= $false )
| ( ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2002]) ).
thf(2106,plain,
! [SV166: x_a,SV140: x_a,SV89: x_a,SV30: x_a] :
( ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $false )
| ( ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2003]) ).
thf(2107,plain,
! [SV166: x_a,SV89: x_a,SV140: x_a,SV30: x_a] :
( ( ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $false )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2004]) ).
thf(2108,plain,
! [SV33: x_a > $o,SV198: x_a,SV92: x_a > $o] :
( ( ( ~ ( ( SV92 @ SV198 )
| ( SV33 @ SV198 ) )
| ~ ( ~ ( SV92 @ SV198 )
| ~ ( SV33 @ SV198 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV92 @ SV33 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2007]) ).
thf(2109,plain,
! [SV33: x_a > $o,SV198: x_a,SV92: x_a > $o] :
( ( ( ( SV92 @ SV198 )
= ( SV33 @ SV198 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV92 @ SV33 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2007]) ).
thf(2110,plain,
! [SV39: x_a > $o,SV98: x_a,SV146: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV146 @ ( insert_a @ SV98 @ SV39 ) )
| ( ord_less_eq_a_o @ SV146 @ SV39 ) )
= $true )
| ( ( member_a @ SV98 @ SV146 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2009]) ).
thf(2111,plain,
! [SV98: x_a,SV39: x_a > $o,SV146: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV146 @ SV39 )
| ( ord_less_eq_a_o @ SV146 @ ( insert_a @ SV98 @ SV39 ) ) )
= $true )
| ( ( member_a @ SV98 @ SV146 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2010]) ).
thf(2112,plain,
! [SV40: x_a > $o,SV99: x_a > $o,SV147: x_a > $o] :
( ( ( ( SV147 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) )
= ( SV40 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV99 @ SV40 )
= $true )
| ( ( ord_less_eq_a_o @ SV99 @ SV147 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2011]) ).
thf(2113,plain,
! [SV179: x_a,SV100: x_a > $o,SV41: x_a] :
( ( ( ( insert_a @ SV41 @ SV100 @ SV179 )
| ( SV100 @ SV179 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV41 @ SV100 @ SV179 )
| ~ ( SV100 @ SV179 ) ) )
= $true )
| ( ( member_a @ SV41 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2013]) ).
thf(2114,plain,
! [SV102: x_a,SV188: x_a,SV43: x_a > $o] :
( ( ( ~ ( ( SV43 @ SV188 )
| ( bot_bot_a_o @ SV188 ) ) )
= $true )
| ( ( ~ ( ~ ( SV43 @ SV188 )
| ~ ( bot_bot_a_o @ SV188 ) ) )
= $true )
| ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2014]) ).
thf(2115,plain,
! [SV188: x_a,SV102: x_a,SV43: x_a > $o] :
( ( ( ! [SV205: x_a] :
( ( SV43 @ SV205 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV205 ) ) )
= $true )
| ( ( ( SV43 @ SV188 )
= ( bot_bot_a_o @ SV188 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2015]) ).
thf(2116,plain,
! [SV188: x_a,SV102: x_a,SV43: x_a > $o] :
( ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ( SV43 @ SV188 )
= ( bot_bot_a_o @ SV188 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2015]) ).
thf(2117,plain,
! [SV102: x_a,SV200: x_a,SV43: x_a > $o] :
( ( ( ~ ( ( SV43 @ SV200 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV200 ) )
| ~ ( ~ ( SV43 @ SV200 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV200 ) ) )
= $true )
| ( ( SV43 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2016]) ).
thf(2118,plain,
! [SV102: x_a,SV200: x_a,SV43: x_a > $o] :
( ( ( ( SV43 @ SV200 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV200 ) )
= $true )
| ( ( SV43 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2016]) ).
thf(2119,plain,
! [SV206: x_a,SV103: x_a > $o,SV44: x_a > $o,SV149: x_a > $o] :
( ( ( ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 )
= ( SV103 @ SV206 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV149 @ SV44 )
= $false )
| ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2017]) ).
thf(2120,plain,
! [SV104: x_a > $o,SV45: x_a > $o] :
( ( ( ( SV45 @ ( sK6_SV174 @ SV104 @ SV45 ) )
| ( SV104 @ ( sK6_SV174 @ SV104 @ SV45 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV104 @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2019]) ).
thf(2121,plain,
! [SV104: x_a > $o,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ ( sK6_SV174 @ SV104 @ SV45 ) )
| ~ ( SV104 @ ( sK6_SV174 @ SV104 @ SV45 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV104 @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2020]) ).
thf(2122,plain,
! [SV47: x_a,SV106: x_a > $o] :
( ( ( bot_bot_a_o @ ( sK4_SV168 @ SV106 @ SV47 ) )
= $true )
| ( ( insert_a @ SV47 @ SV106 @ ( sK4_SV168 @ SV106 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2021]) ).
thf(2123,plain,
! [SV47: x_a,SV106: x_a > $o] :
( ( ( ~ ( bot_bot_a_o @ ( sK4_SV168 @ SV106 @ SV47 ) ) )
= $true )
| ( ( ~ ( insert_a @ SV47 @ SV106 @ ( sK4_SV168 @ SV106 @ SV47 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2022]) ).
thf(2124,plain,
! [SV151: x_a > $o,SV50: x_a > $o,SV109: x_a > $o] :
( ( ( ~ ( ( SV109 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
| ( SV151 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV50 @ SV151 )
| ( ord_less_eq_a_o @ SV50 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2023]) ).
thf(2125,plain,
! [SV151: x_a > $o,SV50: x_a > $o,SV109: x_a > $o] :
( ( ( ~ ( ~ ( SV109 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
| ~ ( SV151 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV50 @ SV151 )
| ( ord_less_eq_a_o @ SV50 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2023]) ).
thf(2126,plain,
! [SV109: x_a > $o,SV151: x_a > $o,SV50: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV50 @ SV151 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV50 @ SV109 )
= $true )
| ( ( ( SV109 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
= ( SV151 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2024]) ).
thf(2127,plain,
! [SV110: x_a > $o,SV51: x_a > $o] :
( ( ( ( SV51 @ ( sK7_SV175 @ SV110 @ SV51 ) )
| ( SV110 @ ( sK7_SV175 @ SV110 @ SV51 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ SV110 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2026]) ).
thf(2128,plain,
! [SV110: x_a > $o,SV51: x_a > $o] :
( ( ( ~ ( SV51 @ ( sK7_SV175 @ SV110 @ SV51 ) )
| ~ ( SV110 @ ( sK7_SV175 @ SV110 @ SV51 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ SV110 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2027]) ).
thf(2129,plain,
! [SV153: x_a > $o,SV112: x_a,SV53: x_a] :
( ( ( SV53 = SV112 )
= $true )
| ( ( member_a @ SV53 @ SV153 )
= $true )
| ( ( member_a @ SV53 @ ( insert_a @ SV112 @ SV153 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2028]) ).
thf(2130,plain,
! [SV153: x_a > $o,SV112: x_a,SV53: x_a] :
( ( ( SV53 = SV112 )
= $false )
| ( ( member_a @ SV53 @ ( insert_a @ SV112 @ SV153 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2029]) ).
thf(2131,plain,
! [SV112: x_a,SV153: x_a > $o,SV53: x_a] :
( ( ( member_a @ SV53 @ SV153 )
= $false )
| ( ( member_a @ SV53 @ ( insert_a @ SV112 @ SV153 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2029]) ).
thf(2132,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2030]) ).
thf(2133,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) )
= $false )
| ( ( SV55 = SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2031]) ).
thf(2134,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) )
= $true )
| ( ( SV55 = SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2032]) ).
thf(2135,plain,
! [SV190: x_a,SV154: pname > $o,SV116: pname,SV57: pname > x_a] :
( ( ( ~ ( ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 )
| ( image_pname_a @ SV57 @ SV154 @ SV190 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 )
| ~ ( image_pname_a @ SV57 @ SV154 @ SV190 ) ) )
= $true )
| ( ( member_pname @ SV116 @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2033]) ).
thf(2136,plain,
! [SV117: x_a > $o,SV58: x_a > $o] :
( ( ( ( SV58 @ ( sK8_SV176 @ SV117 @ SV58 ) )
| ( SV117 @ ( sK8_SV176 @ SV117 @ SV58 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV58 @ SV117 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2035]) ).
thf(2137,plain,
! [SV117: x_a > $o,SV58: x_a > $o] :
( ( ( ~ ( SV58 @ ( sK8_SV176 @ SV117 @ SV58 ) )
| ~ ( SV117 @ ( sK8_SV176 @ SV117 @ SV58 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV58 @ SV117 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2036]) ).
thf(2138,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $false )
| ( ( SV118 = SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2037]) ).
thf(2139,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( SV118 = SV59 )
= $false )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2038]) ).
thf(2140,plain,
! [SV120: x_a > $o,SV203: x_a,SV61: x_a > $o] :
( ( ( ~ ( ( SV61 @ SV203 )
| ( SV120 @ SV203 ) )
| ~ ( ~ ( SV61 @ SV203 )
| ~ ( SV120 @ SV203 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV120 @ SV61 )
= $false )
| ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2039]) ).
thf(2141,plain,
! [SV120: x_a > $o,SV203: x_a,SV61: x_a > $o] :
( ( ( ( SV61 @ SV203 )
= ( SV120 @ SV203 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV120 @ SV61 )
= $false )
| ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2039]) ).
thf(2142,plain,
! [SV121: x_a > $o,SV156: x_a,SV62: x_a] :
( ( ( SV62 = SV156 )
= $true )
| ( ( SV121 @ SV156 )
= $true )
| ( ( insert_a @ SV62 @ SV121 @ SV156 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2040]) ).
thf(2143,plain,
! [SV121: x_a > $o,SV156: x_a,SV62: x_a] :
( ( ( SV62 = SV156 )
= $false )
| ( ( insert_a @ SV62 @ SV121 @ SV156 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2041]) ).
thf(2144,plain,
! [SV62: x_a,SV156: x_a,SV121: x_a > $o] :
( ( ( SV121 @ SV156 )
= $false )
| ( ( insert_a @ SV62 @ SV121 @ SV156 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2041]) ).
thf(2145,plain,
! [SV122: pname > x_a,SV63: x_a > $o,SV157: pname > $o] :
( ( ( ! [SY306: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY306 @ SV157 )
| ( SV63
!= ( image_pname_a @ SV122 @ SY306 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2042]) ).
thf(2146,plain,
! [SV122: pname > x_a,SV63: x_a > $o,SV157: pname > $o] :
( ( ( ! [SY307: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY307 @ SV157 )
| ( SV63
!= ( image_pname_a @ SV122 @ SY307 ) ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2043]) ).
thf(2147,plain,
! [SV123: x_a > $o,SV158: x_a > $o,SV64: x_a] :
( ( ( ~ ( member_a @ SV64 @ SV158 )
| ~ ( ord_less_eq_a_o @ SV123 @ SV158 ) )
= $false )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SV158 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2044]) ).
thf(2148,plain,
! [SV123: x_a > $o,SV158: x_a > $o,SV64: x_a] :
( ( ( ~ ( member_a @ SV64 @ SV158 )
| ~ ( ord_less_eq_a_o @ SV123 @ SV158 ) )
= $true )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SV158 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2045]) ).
thf(2149,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
| ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 )
| ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2046]) ).
thf(2150,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( ~ ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
| ~ ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 )
| ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2047]) ).
thf(2151,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 ) )
= $false )
| ( ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2048]) ).
thf(2152,plain,
! [SV65: x_a > $o,SV124: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) )
= $false )
| ( ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2048]) ).
thf(2153,plain,
! [SV125: x_a > $o,SV204: x_a,SV66: x_a > $o] :
( ( ( ~ ( ( SV66 @ SV204 )
| ( SV125 @ SV204 ) )
| ~ ( ~ ( SV66 @ SV204 )
| ~ ( SV125 @ SV204 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV125 @ SV66 )
= $false )
| ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2051]) ).
thf(2154,plain,
! [SV125: x_a > $o,SV204: x_a,SV66: x_a > $o] :
( ( ( ( SV66 @ SV204 )
= ( SV125 @ SV204 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV125 @ SV66 )
= $false )
| ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2051]) ).
thf(2155,plain,
! [SV160: x_a,SV69: x_a > $o,SV3: x_a] :
( ( ( ~ ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 ) )
= $false )
| ( ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2052]) ).
thf(2156,plain,
! [SV160: x_a,SV69: x_a > $o,SV3: x_a] :
( ( ( ~ ( insert_a @ SV3 @ SV69 @ SV160 ) )
= $false )
| ( ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2052]) ).
thf(2157,plain,
! [SV160: x_a,SV69: x_a > $o,SV3: x_a] :
( ( ( ~ ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 ) )
= $false )
| ( ( insert_a @ SV3 @ SV69 @ SV160 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2053]) ).
thf(2158,plain,
! [SV160: x_a,SV69: x_a > $o,SV3: x_a] :
( ( ( ~ ( insert_a @ SV3 @ SV69 @ SV160 ) )
= $false )
| ( ( insert_a @ SV3 @ SV69 @ SV160 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2053]) ).
thf(2159,plain,
! [SV169: x_a,SV128: x_a > $o,SV70: x_a,SV4: x_a] :
( ( ( ~ ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 )
| ~ ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 ) )
= $false )
| ( ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2054]) ).
thf(2160,plain,
! [SV169: x_a,SV128: x_a > $o,SV70: x_a,SV4: x_a] :
( ( ( ~ ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 )
| ~ ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 ) )
= $false )
| ( ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2055]) ).
thf(2161,plain,
! [SV170: x_a,SV129: pname > $o,SV72: pname,SV7: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 )
| ~ ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 ) )
= $false )
| ( ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2056]) ).
thf(2162,plain,
! [SV170: x_a,SV129: pname > $o,SV72: pname,SV7: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 )
| ~ ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 ) )
= $false )
| ( ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2057]) ).
thf(2163,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $false )
| ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2058]) ).
thf(2164,plain,
! [SV11: $o] :
( ( ( SV11 = $false )
= $true )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2058]) ).
thf(2165,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $false )
| ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2059]) ).
thf(2166,plain,
! [SV11: $o] :
( ( ( SV11 = $false )
= $true )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2059]) ).
thf(2167,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $false )
| ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2060]) ).
thf(2168,plain,
! [SV11: $o] :
( ( ( SV11 = $false )
= $true )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2060]) ).
thf(2169,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $false )
| ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2061]) ).
thf(2170,plain,
! [SV11: $o] :
( ( ( SV11 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2061]) ).
thf(2171,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( SV11 = $false )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2062]) ).
thf(2172,plain,
! [SV11: $o] :
( ( $false = $true )
| ( SV11 = $false )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2063]) ).
thf(2173,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( $false = $false )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2064]) ).
thf(2174,plain,
! [SV11: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2065]) ).
thf(2175,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2066]) ).
thf(2176,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2066]) ).
thf(2177,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2067]) ).
thf(2178,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2067]) ).
thf(2179,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2068]) ).
thf(2180,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2068]) ).
thf(2181,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2069]) ).
thf(2182,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2069]) ).
thf(2183,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2070]) ).
thf(2184,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2071]) ).
thf(2185,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2072]) ).
thf(2186,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2073]) ).
thf(2187,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2074]) ).
thf(2188,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2074]) ).
thf(2189,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2075]) ).
thf(2190,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2075]) ).
thf(2191,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2076]) ).
thf(2192,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2076]) ).
thf(2193,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2077]) ).
thf(2194,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2077]) ).
thf(2195,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2078]) ).
thf(2196,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2079]) ).
thf(2197,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2080]) ).
thf(2198,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2081]) ).
thf(2199,plain,
! [SV74: x_a > $o,SV12: x_a] :
( ( ( insert_a @ SV12 @ SV74 @ ( sK1_SV163 @ SV74 @ SV12 ) )
= $false )
| ( ( ~ ( bot_bot_a_o @ ( sK1_SV163 @ SV74 @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2083]) ).
thf(2200,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( ( ( insert_a @ SV76 @ SV131 )
!= ( insert_a @ SV76 @ SV14 ) )
| ( SV131 = SV14 ) )
| ~ ( ( SV131 != SV14 )
| ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2084]) ).
thf(2201,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ~ ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
| ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) ) )
| ~ ( ~ ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
| ~ ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2085]) ).
thf(2202,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2085]) ).
thf(2203,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 ) )
= $false )
| ( ( SV17 = SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2086]) ).
thf(2204,plain,
! [SV17: x_a > $o,SV79: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) )
= $false )
| ( ( SV17 = SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2086]) ).
thf(2205,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) )
= $true )
| ( ( SV17 = SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2087]) ).
thf(2206,plain,
! [SV80: x_a,SV18: x_a] :
( ( ( insert_a @ SV18 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) )
= $true )
| ( ( insert_a @ SV80 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) )
= $true )
| ( ( SV18 = SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2088]) ).
thf(2207,plain,
! [SV80: x_a,SV18: x_a] :
( ( ( ~ ( insert_a @ SV18 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) ) )
= $true )
| ( ( ~ ( insert_a @ SV80 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) ) )
= $true )
| ( ( SV18 = SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2089]) ).
thf(2208,plain,
! [SV172: x_a,SV20: x_a > $o] :
( ( ( ~ ( SV20 @ SV172 )
| ~ ( bot_bot_a_o @ SV172 ) )
= $false )
| ( ( SV20 @ SV172 )
= $false )
| ( ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2090]) ).
thf(2209,plain,
! [SV172: x_a,SV20: x_a > $o] :
( ( ( ~ ( SV20 @ SV172 )
| ~ ( bot_bot_a_o @ SV172 ) )
= $false )
| ( ( bot_bot_a_o @ SV172 )
= $false )
| ( ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2091]) ).
thf(2210,plain,
! [SV194: x_a,SV22: x_a > $o] :
( ( ( ~ ( ( SV22 @ SV194 )
| ( bot_bot_a_o @ SV194 ) ) )
= $true )
| ( ( ~ ( ~ ( SV22 @ SV194 )
| ~ ( bot_bot_a_o @ SV194 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2092]) ).
thf(2211,plain,
! [SV22: x_a > $o] :
( ( ( ~ ( ( SV22 @ ( sK12_SV184 @ SV22 ) )
| ( bot_bot_a_o @ ( sK12_SV184 @ SV22 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2094]) ).
thf(2212,plain,
! [SV22: x_a > $o] :
( ( ( ~ ( ~ ( SV22 @ ( sK12_SV184 @ SV22 ) )
| ~ ( bot_bot_a_o @ ( sK12_SV184 @ SV22 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2094]) ).
thf(2213,plain,
! [SV134: x_a > $o,SV23: x_a > $o,SV83: x_a > $o] :
( ( ( ( SV83 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
| ( SV134 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV134 @ SV23 )
| ( ord_less_eq_a_o @ SV83 @ SV23 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2096]) ).
thf(2214,plain,
! [SV134: x_a > $o,SV23: x_a > $o,SV83: x_a > $o] :
( ( ( ~ ( SV83 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
| ~ ( SV134 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV134 @ SV23 )
| ( ord_less_eq_a_o @ SV83 @ SV23 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2097]) ).
thf(2215,plain,
! [SV83: x_a > $o,SV23: x_a > $o,SV134: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV134 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV83 @ SV23 )
= $true )
| ( ( ( SV83 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
= ( SV134 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2098]) ).
thf(2216,plain,
! [SV195: x_a,SV25: x_a > $o] :
( ( ( ~ ( ( SV25 @ SV195 )
| ( bot_bot_a_o @ SV195 ) ) )
= $true )
| ( ( ~ ( ~ ( SV25 @ SV195 )
| ~ ( bot_bot_a_o @ SV195 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2099]) ).
thf(2217,plain,
! [SV25: x_a > $o] :
( ( ( ~ ( ( SV25 @ ( sK13_SV186 @ SV25 ) )
| ( bot_bot_a_o @ ( sK13_SV186 @ SV25 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2101]) ).
thf(2218,plain,
! [SV25: x_a > $o] :
( ( ( ~ ( ~ ( SV25 @ ( sK13_SV186 @ SV25 ) )
| ~ ( bot_bot_a_o @ ( sK13_SV186 @ SV25 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2101]) ).
thf(2219,plain,
! [SV28: x_a > $o,SV138: x_a > $o,SV87: x_a > $o] :
( ( ( ~ ( ( SV87 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) )
| ( SV28 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) ) )
| ~ ( ~ ( SV87 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) )
| ~ ( SV28 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV28 @ SV138 )
= $true )
| ( ( ord_less_eq_a_o @ SV87 @ SV138 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2103]) ).
thf(2220,plain,
! [SV28: x_a > $o,SV138: x_a > $o,SV87: x_a > $o] :
( ( ( ( SV87 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) )
= ( SV28 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV28 @ SV138 )
= $true )
| ( ( ord_less_eq_a_o @ SV87 @ SV138 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2103]) ).
thf(2221,plain,
! [SV165: x_a,SV88: x_a > $o,SV29: x_a] :
( ( ( ~ ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 ) )
= $false )
| ( ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2104]) ).
thf(2222,plain,
! [SV165: x_a,SV88: x_a > $o,SV29: x_a] :
( ( ( ~ ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 ) )
= $false )
| ( ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2104]) ).
thf(2223,plain,
! [SV165: x_a,SV88: x_a > $o,SV29: x_a] :
( ( ( ~ ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 ) )
= $false )
| ( ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2105]) ).
thf(2224,plain,
! [SV165: x_a,SV88: x_a > $o,SV29: x_a] :
( ( ( ~ ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 ) )
= $false )
| ( ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2105]) ).
thf(2225,plain,
! [SV166: x_a,SV140: x_a,SV89: x_a,SV30: x_a] :
( ( ( ! [SV207: x_a] :
( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV207 )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV207 ) ) )
= $false )
| ( ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2106]) ).
thf(2226,plain,
! [SV166: x_a,SV140: x_a,SV89: x_a,SV30: x_a] :
( ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $false )
| ( ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2106]) ).
thf(2227,plain,
! [SV166: x_a,SV89: x_a,SV140: x_a,SV30: x_a] :
( ( ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) ) )
= $false )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2107]) ).
thf(2228,plain,
! [SV140: x_a,SV89: x_a,SV166: x_a,SV30: x_a] :
( ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $false )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2107]) ).
thf(2229,plain,
! [SV33: x_a > $o,SV198: x_a,SV92: x_a > $o] :
( ( ( ~ ( ( SV92 @ SV198 )
| ( SV33 @ SV198 ) ) )
= $true )
| ( ( ~ ( ~ ( SV92 @ SV198 )
| ~ ( SV33 @ SV198 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV92 @ SV33 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2108]) ).
thf(2230,plain,
! [SV39: x_a > $o,SV98: x_a,SV146: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV146 @ ( insert_a @ SV98 @ SV39 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV146 @ SV39 )
= $true )
| ( ( member_a @ SV98 @ SV146 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2110]) ).
thf(2231,plain,
! [SV98: x_a,SV39: x_a > $o,SV146: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV146 @ SV39 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV146 @ ( insert_a @ SV98 @ SV39 ) )
= $true )
| ( ( member_a @ SV98 @ SV146 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2111]) ).
thf(2232,plain,
! [SV40: x_a > $o,SV99: x_a > $o,SV147: x_a > $o] :
( ( ( ~ ( ( SV147 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) )
| ( SV40 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) ) )
| ~ ( ~ ( SV147 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) )
| ~ ( SV40 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV99 @ SV40 )
= $true )
| ( ( ord_less_eq_a_o @ SV99 @ SV147 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2112]) ).
thf(2233,plain,
! [SV40: x_a > $o,SV99: x_a > $o,SV147: x_a > $o] :
( ( ( ( SV147 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) )
= ( SV40 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV99 @ SV40 )
= $true )
| ( ( ord_less_eq_a_o @ SV99 @ SV147 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2112]) ).
thf(2234,plain,
! [SV179: x_a,SV100: x_a > $o,SV41: x_a] :
( ( ( insert_a @ SV41 @ SV100 @ SV179 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV41 @ SV100 @ SV179 )
| ~ ( SV100 @ SV179 ) ) )
= $true )
| ( ( member_a @ SV41 @ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2113]) ).
thf(2235,plain,
! [SV41: x_a,SV179: x_a,SV100: x_a > $o] :
( ( ( SV100 @ SV179 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV41 @ SV100 @ SV179 )
| ~ ( SV100 @ SV179 ) ) )
= $true )
| ( ( member_a @ SV41 @ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2113]) ).
thf(2236,plain,
! [SV102: x_a,SV188: x_a,SV43: x_a > $o] :
( ( ( ( SV43 @ SV188 )
| ( bot_bot_a_o @ SV188 ) )
= $false )
| ( ( ~ ( ~ ( SV43 @ SV188 )
| ~ ( bot_bot_a_o @ SV188 ) ) )
= $true )
| ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2114]) ).
thf(2237,plain,
! [SV188: x_a,SV102: x_a,SV208: x_a,SV43: x_a > $o] :
( ( ( ( SV43 @ SV208 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV208 ) )
= $true )
| ( ( ( SV43 @ SV188 )
= ( bot_bot_a_o @ SV188 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2115]) ).
thf(2238,plain,
! [SV102: x_a,SV200: x_a,SV43: x_a > $o] :
( ( ( ~ ( ( SV43 @ SV200 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV200 ) ) )
= $true )
| ( ( ~ ( ~ ( SV43 @ SV200 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV200 ) ) )
= $true )
| ( ( SV43 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2117]) ).
thf(2239,plain,
! [SV206: x_a,SV103: x_a > $o,SV44: x_a > $o,SV149: x_a > $o] :
( ( ( ~ ( ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 )
| ( SV103 @ SV206 ) )
| ~ ( ~ ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 )
| ~ ( SV103 @ SV206 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV149 @ SV44 )
= $false )
| ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2119]) ).
thf(2240,plain,
! [SV206: x_a,SV103: x_a > $o,SV44: x_a > $o,SV149: x_a > $o] :
( ( ( ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 )
= ( SV103 @ SV206 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV149 @ SV44 )
= $false )
| ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2119]) ).
thf(2241,plain,
! [SV104: x_a > $o,SV45: x_a > $o] :
( ( ( SV45 @ ( sK6_SV174 @ SV104 @ SV45 ) )
= $true )
| ( ( SV104 @ ( sK6_SV174 @ SV104 @ SV45 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV104 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2120]) ).
thf(2242,plain,
! [SV104: x_a > $o,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ ( sK6_SV174 @ SV104 @ SV45 ) ) )
= $true )
| ( ( ~ ( SV104 @ ( sK6_SV174 @ SV104 @ SV45 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV104 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2121]) ).
thf(2243,plain,
! [SV47: x_a,SV106: x_a > $o] :
( ( ( bot_bot_a_o @ ( sK4_SV168 @ SV106 @ SV47 ) )
= $false )
| ( ( ~ ( insert_a @ SV47 @ SV106 @ ( sK4_SV168 @ SV106 @ SV47 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2123]) ).
thf(2244,plain,
! [SV151: x_a > $o,SV50: x_a > $o,SV109: x_a > $o] :
( ( ( ( SV109 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
| ( SV151 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV50 @ SV151 )
| ( ord_less_eq_a_o @ SV50 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2124]) ).
thf(2245,plain,
! [SV151: x_a > $o,SV50: x_a > $o,SV109: x_a > $o] :
( ( ( ~ ( SV109 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
| ~ ( SV151 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV50 @ SV151 )
| ( ord_less_eq_a_o @ SV50 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2125]) ).
thf(2246,plain,
! [SV109: x_a > $o,SV151: x_a > $o,SV50: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV50 @ SV151 )
= $false )
| ( ( ord_less_eq_a_o @ SV50 @ SV109 )
= $true )
| ( ( ( SV109 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
= ( SV151 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2126]) ).
thf(2247,plain,
! [SV110: x_a > $o,SV51: x_a > $o] :
( ( ( SV51 @ ( sK7_SV175 @ SV110 @ SV51 ) )
= $true )
| ( ( SV110 @ ( sK7_SV175 @ SV110 @ SV51 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ SV110 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2127]) ).
thf(2248,plain,
! [SV110: x_a > $o,SV51: x_a > $o] :
( ( ( ~ ( SV51 @ ( sK7_SV175 @ SV110 @ SV51 ) ) )
= $true )
| ( ( ~ ( SV110 @ ( sK7_SV175 @ SV110 @ SV51 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ SV110 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2128]) ).
thf(2249,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ~ ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
| ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) ) )
| ~ ( ~ ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
| ~ ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2132]) ).
thf(2250,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2132]) ).
thf(2251,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 ) )
= $false )
| ( ( SV55 = SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2133]) ).
thf(2252,plain,
! [SV55: x_a > $o,SV114: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) )
= $false )
| ( ( SV55 = SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2133]) ).
thf(2253,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) )
= $true )
| ( ( SV55 = SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2134]) ).
thf(2254,plain,
! [SV190: x_a,SV154: pname > $o,SV116: pname,SV57: pname > x_a] :
( ( ( ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 )
| ( image_pname_a @ SV57 @ SV154 @ SV190 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 )
| ~ ( image_pname_a @ SV57 @ SV154 @ SV190 ) ) )
= $true )
| ( ( member_pname @ SV116 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2135]) ).
thf(2255,plain,
! [SV117: x_a > $o,SV58: x_a > $o] :
( ( ( SV58 @ ( sK8_SV176 @ SV117 @ SV58 ) )
= $true )
| ( ( SV117 @ ( sK8_SV176 @ SV117 @ SV58 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV58 @ SV117 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2136]) ).
thf(2256,plain,
! [SV117: x_a > $o,SV58: x_a > $o] :
( ( ( ~ ( SV58 @ ( sK8_SV176 @ SV117 @ SV58 ) ) )
= $true )
| ( ( ~ ( SV117 @ ( sK8_SV176 @ SV117 @ SV58 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV58 @ SV117 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2137]) ).
thf(2257,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( ! [SV209: x_a] :
( ( SV118 @ SV209 )
= ( SV59 @ SV209 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2138]) ).
thf(2258,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( SV118 = SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2138]) ).
thf(2259,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( ! [SV210: x_a] :
( ( SV118 @ SV210 )
= ( SV59 @ SV210 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2139]) ).
thf(2260,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( SV118 = SV59 )
= $false )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2139]) ).
thf(2261,plain,
! [SV120: x_a > $o,SV203: x_a,SV61: x_a > $o] :
( ( ( ~ ( ( SV61 @ SV203 )
| ( SV120 @ SV203 ) ) )
= $true )
| ( ( ~ ( ~ ( SV61 @ SV203 )
| ~ ( SV120 @ SV203 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV120 @ SV61 )
= $false )
| ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2140]) ).
thf(2262,plain,
! [SV157: pname > $o,SV63: x_a > $o,SV122: pname > x_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_pname_o @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV157 )
| ( SV63
!= ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2145]) ).
thf(2263,plain,
! [SV122: pname > x_a,SV63: x_a > $o,SV157: pname > $o,SV211: pname > $o] :
( ( ( ~ ~ ( ~ ( ord_less_eq_pname_o @ SV211 @ SV157 )
| ( SV63
!= ( image_pname_a @ SV122 @ SV211 ) ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2146]) ).
thf(2264,plain,
! [SV123: x_a > $o,SV158: x_a > $o,SV64: x_a] :
( ( ( ~ ( member_a @ SV64 @ SV158 ) )
= $false )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SV158 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2147]) ).
thf(2265,plain,
! [SV64: x_a,SV158: x_a > $o,SV123: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV123 @ SV158 ) )
= $false )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SV158 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2147]) ).
thf(2266,plain,
! [SV123: x_a > $o,SV158: x_a > $o,SV64: x_a] :
( ( ( ~ ( member_a @ SV64 @ SV158 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV123 @ SV158 ) )
= $true )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SV158 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2148]) ).
thf(2267,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $true )
| ( ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 )
| ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2149]) ).
thf(2268,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( ~ ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) ) )
= $true )
| ( ( ~ ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 )
| ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2150]) ).
thf(2269,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV65 @ SV124 )
= $true )
| ( ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2151]) ).
thf(2270,plain,
! [SV65: x_a > $o,SV124: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV124 @ SV65 )
= $true )
| ( ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2152]) ).
thf(2271,plain,
! [SV125: x_a > $o,SV204: x_a,SV66: x_a > $o] :
( ( ( ~ ( ( SV66 @ SV204 )
| ( SV125 @ SV204 ) ) )
= $true )
| ( ( ~ ( ~ ( SV66 @ SV204 )
| ~ ( SV125 @ SV204 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV125 @ SV66 )
= $false )
| ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2153]) ).
thf(2272,plain,
! [SV160: x_a,SV69: x_a > $o,SV3: x_a] :
( ( ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 )
= $true )
| ( ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2155]) ).
thf(2273,plain,
! [SV160: x_a,SV69: x_a > $o,SV3: x_a] :
( ( ( insert_a @ SV3 @ SV69 @ SV160 )
= $true )
| ( ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2156]) ).
thf(2274,plain,
! [SV160: x_a,SV69: x_a > $o,SV3: x_a] :
( ( ( insert_a @ SV3 @ ( insert_a @ SV3 @ SV69 ) @ SV160 )
= $true )
| ( ( insert_a @ SV3 @ SV69 @ SV160 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2157]) ).
thf(2275,plain,
! [SV160: x_a,SV69: x_a > $o,SV3: x_a] :
( ( ( insert_a @ SV3 @ SV69 @ SV160 )
= $true )
| ( ( insert_a @ SV3 @ SV69 @ SV160 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2158]) ).
thf(2276,plain,
! [SV169: x_a,SV128: x_a > $o,SV70: x_a,SV4: x_a] :
( ( ( ~ ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 ) )
= $false )
| ( ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2159]) ).
thf(2277,plain,
! [SV169: x_a,SV128: x_a > $o,SV4: x_a,SV70: x_a] :
( ( ( ~ ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 ) )
= $false )
| ( ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2159]) ).
thf(2278,plain,
! [SV169: x_a,SV128: x_a > $o,SV70: x_a,SV4: x_a] :
( ( ( ~ ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 ) )
= $false )
| ( ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2160]) ).
thf(2279,plain,
! [SV169: x_a,SV128: x_a > $o,SV4: x_a,SV70: x_a] :
( ( ( ~ ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 ) )
= $false )
| ( ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2160]) ).
thf(2280,plain,
! [SV170: x_a,SV129: pname > $o,SV72: pname,SV7: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 ) )
= $false )
| ( ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2161]) ).
thf(2281,plain,
! [SV170: x_a,SV129: pname > $o,SV72: pname,SV7: pname > x_a] :
( ( ( ~ ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 ) )
= $false )
| ( ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2161]) ).
thf(2282,plain,
! [SV170: x_a,SV129: pname > $o,SV72: pname,SV7: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 ) )
= $false )
| ( ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2162]) ).
thf(2283,plain,
! [SV170: x_a,SV129: pname > $o,SV72: pname,SV7: pname > x_a] :
( ( ( ~ ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 ) )
= $false )
| ( ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2162]) ).
thf(2284,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $false ) )
= $true )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2163]) ).
thf(2285,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $false ) )
= $true )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2165]) ).
thf(2286,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $false ) )
= $true )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2167]) ).
thf(2287,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $false ) )
= $true )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2169]) ).
thf(2288,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2175]) ).
thf(2289,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2177]) ).
thf(2290,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2179]) ).
thf(2291,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2181]) ).
thf(2292,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2187]) ).
thf(2293,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2189]) ).
thf(2294,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2191]) ).
thf(2295,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2193]) ).
thf(2296,plain,
! [SV12: x_a,SV74: x_a > $o] :
( ( ( bot_bot_a_o @ ( sK1_SV163 @ SV74 @ SV12 ) )
= $false )
| ( ( insert_a @ SV12 @ SV74 @ ( sK1_SV163 @ SV74 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2199]) ).
thf(2297,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( ( ( insert_a @ SV76 @ SV131 )
!= ( insert_a @ SV76 @ SV14 ) )
| ( SV131 = SV14 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2200]) ).
thf(2298,plain,
! [SV76: x_a,SV14: x_a > $o,SV131: x_a > $o] :
( ( ( ~ ( ( SV131 != SV14 )
| ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2200]) ).
thf(2299,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ~ ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
| ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2201]) ).
thf(2300,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ~ ( ~ ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
| ~ ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2201]) ).
thf(2301,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) )
= $false )
| ( ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2202]) ).
thf(2302,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $true )
| ( ( SV17 = SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2203]) ).
thf(2303,plain,
! [SV17: x_a > $o,SV79: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $true )
| ( ( SV17 = SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2204]) ).
thf(2304,plain,
! [SV17: x_a > $o,SV79: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $false )
| ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $false )
| ( ( SV17 = SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2205]) ).
thf(2305,plain,
! [SV80: x_a,SV18: x_a] :
( ( ( insert_a @ SV18 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) )
= $false )
| ( ( ~ ( insert_a @ SV80 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) ) )
= $true )
| ( ( SV18 = SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2207]) ).
thf(2306,plain,
! [SV172: x_a,SV20: x_a > $o] :
( ( ( ~ ( SV20 @ SV172 ) )
= $false )
| ( ( SV20 @ SV172 )
= $false )
| ( ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2208]) ).
thf(2307,plain,
! [SV20: x_a > $o,SV172: x_a] :
( ( ( ~ ( bot_bot_a_o @ SV172 ) )
= $false )
| ( ( SV20 @ SV172 )
= $false )
| ( ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2208]) ).
thf(2308,plain,
! [SV172: x_a,SV20: x_a > $o] :
( ( ( ~ ( SV20 @ SV172 ) )
= $false )
| ( ( bot_bot_a_o @ SV172 )
= $false )
| ( ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2209]) ).
thf(2309,plain,
! [SV20: x_a > $o,SV172: x_a] :
( ( ( ~ ( bot_bot_a_o @ SV172 ) )
= $false )
| ( ( bot_bot_a_o @ SV172 )
= $false )
| ( ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2209]) ).
thf(2310,plain,
! [SV194: x_a,SV22: x_a > $o] :
( ( ( ( SV22 @ SV194 )
| ( bot_bot_a_o @ SV194 ) )
= $false )
| ( ( ~ ( ~ ( SV22 @ SV194 )
| ~ ( bot_bot_a_o @ SV194 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2210]) ).
thf(2311,plain,
! [SV22: x_a > $o] :
( ( ( ( SV22 @ ( sK12_SV184 @ SV22 ) )
| ( bot_bot_a_o @ ( sK12_SV184 @ SV22 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2211]) ).
thf(2312,plain,
! [SV22: x_a > $o] :
( ( ( ~ ( SV22 @ ( sK12_SV184 @ SV22 ) )
| ~ ( bot_bot_a_o @ ( sK12_SV184 @ SV22 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2212]) ).
thf(2313,plain,
! [SV134: x_a > $o,SV23: x_a > $o,SV83: x_a > $o] :
( ( ( SV83 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
= $true )
| ( ( SV134 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV134 @ SV23 )
| ( ord_less_eq_a_o @ SV83 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2213]) ).
thf(2314,plain,
! [SV134: x_a > $o,SV23: x_a > $o,SV83: x_a > $o] :
( ( ( ~ ( SV83 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) ) )
= $true )
| ( ( ~ ( SV134 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV134 @ SV23 )
| ( ord_less_eq_a_o @ SV83 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2214]) ).
thf(2315,plain,
! [SV195: x_a,SV25: x_a > $o] :
( ( ( ( SV25 @ SV195 )
| ( bot_bot_a_o @ SV195 ) )
= $false )
| ( ( ~ ( ~ ( SV25 @ SV195 )
| ~ ( bot_bot_a_o @ SV195 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2216]) ).
thf(2316,plain,
! [SV25: x_a > $o] :
( ( ( ( SV25 @ ( sK13_SV186 @ SV25 ) )
| ( bot_bot_a_o @ ( sK13_SV186 @ SV25 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2217]) ).
thf(2317,plain,
! [SV25: x_a > $o] :
( ( ( ~ ( SV25 @ ( sK13_SV186 @ SV25 ) )
| ~ ( bot_bot_a_o @ ( sK13_SV186 @ SV25 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2218]) ).
thf(2318,plain,
! [SV28: x_a > $o,SV138: x_a > $o,SV87: x_a > $o] :
( ( ( ~ ( ( SV87 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) )
| ( SV28 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV28 @ SV138 )
= $true )
| ( ( ord_less_eq_a_o @ SV87 @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2219]) ).
thf(2319,plain,
! [SV28: x_a > $o,SV138: x_a > $o,SV87: x_a > $o] :
( ( ( ~ ( ~ ( SV87 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) )
| ~ ( SV28 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV28 @ SV138 )
= $true )
| ( ( ord_less_eq_a_o @ SV87 @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2219]) ).
thf(2320,plain,
! [SV165: x_a,SV88: x_a > $o,SV29: x_a] :
( ( ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 )
= $true )
| ( ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2221]) ).
thf(2321,plain,
! [SV165: x_a,SV88: x_a > $o,SV29: x_a] :
( ( ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 )
= $true )
| ( ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2222]) ).
thf(2322,plain,
! [SV165: x_a,SV88: x_a > $o,SV29: x_a] :
( ( ( insert_a @ SV29 @ ( collect_a @ SV88 ) @ SV165 )
= $true )
| ( ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2223]) ).
thf(2323,plain,
! [SV165: x_a,SV88: x_a > $o,SV29: x_a] :
( ( ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 )
= $true )
| ( ( collect_a
@ ^ [SY275: x_a] :
( ~ ( ( SY275 != SV29 ) )
| ( SV88 @ SY275 ) )
@ SV165 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2224]) ).
thf(2324,plain,
! [SV140: x_a,SV166: x_a,SV89: x_a,SV30: x_a] :
( ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $false )
| ( ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2225]) ).
thf(2325,plain,
! [SV166: x_a,SV89: x_a,SV140: x_a,SV30: x_a] :
( ( ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) ) )
= $true )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2226]) ).
thf(2326,plain,
! [SV166: x_a,SV89: x_a,SV140: x_a,SV30: x_a] :
( ( ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2227]) ).
thf(2327,plain,
! [SV140: x_a,SV89: x_a,SV166: x_a,SV30: x_a] :
( ( ( ( SV30 != SV166 )
| ( SV89 != SV140 ) )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2228]) ).
thf(2328,plain,
! [SV33: x_a > $o,SV198: x_a,SV92: x_a > $o] :
( ( ( ( SV92 @ SV198 )
| ( SV33 @ SV198 ) )
= $false )
| ( ( ~ ( ~ ( SV92 @ SV198 )
| ~ ( SV33 @ SV198 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV92 @ SV33 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2229]) ).
thf(2329,plain,
! [SV39: x_a > $o,SV98: x_a,SV146: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV146 @ ( insert_a @ SV98 @ SV39 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV146 @ SV39 )
= $true )
| ( ( member_a @ SV98 @ SV146 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2230]) ).
thf(2330,plain,
! [SV98: x_a,SV39: x_a > $o,SV146: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV146 @ SV39 )
= $false )
| ( ( ord_less_eq_a_o @ SV146 @ ( insert_a @ SV98 @ SV39 ) )
= $true )
| ( ( member_a @ SV98 @ SV146 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2231]) ).
thf(2331,plain,
! [SV40: x_a > $o,SV99: x_a > $o,SV147: x_a > $o] :
( ( ( ~ ( ( SV147 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) )
| ( SV40 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV99 @ SV40 )
= $true )
| ( ( ord_less_eq_a_o @ SV99 @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2232]) ).
thf(2332,plain,
! [SV40: x_a > $o,SV99: x_a > $o,SV147: x_a > $o] :
( ( ( ~ ( ~ ( SV147 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) )
| ~ ( SV40 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV99 @ SV40 )
= $true )
| ( ( ord_less_eq_a_o @ SV99 @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2232]) ).
thf(2333,plain,
! [SV179: x_a,SV100: x_a > $o,SV41: x_a] :
( ( ( ~ ( insert_a @ SV41 @ SV100 @ SV179 )
| ~ ( SV100 @ SV179 ) )
= $false )
| ( ( insert_a @ SV41 @ SV100 @ SV179 )
= $false )
| ( ( member_a @ SV41 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2234]) ).
thf(2334,plain,
! [SV179: x_a,SV100: x_a > $o,SV41: x_a] :
( ( ( ~ ( insert_a @ SV41 @ SV100 @ SV179 )
| ~ ( SV100 @ SV179 ) )
= $false )
| ( ( SV100 @ SV179 )
= $false )
| ( ( member_a @ SV41 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2235]) ).
thf(2335,plain,
! [SV102: x_a,SV188: x_a,SV43: x_a > $o] :
( ( ( SV43 @ SV188 )
= $false )
| ( ( ~ ( ~ ( SV43 @ SV188 )
| ~ ( bot_bot_a_o @ SV188 ) ) )
= $true )
| ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2236]) ).
thf(2336,plain,
! [SV102: x_a,SV43: x_a > $o,SV188: x_a] :
( ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( ~ ( ~ ( SV43 @ SV188 )
| ~ ( bot_bot_a_o @ SV188 ) ) )
= $true )
| ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2236]) ).
thf(2337,plain,
! [SV188: x_a,SV102: x_a,SV208: x_a,SV43: x_a > $o] :
( ( ( ~ ( ( SV43 @ SV208 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV208 ) )
| ~ ( ~ ( SV43 @ SV208 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV208 ) ) )
= $true )
| ( ( ( SV43 @ SV188 )
= ( bot_bot_a_o @ SV188 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2237]) ).
thf(2338,plain,
! [SV188: x_a,SV102: x_a,SV208: x_a,SV43: x_a > $o] :
( ( ( ( SV43 @ SV208 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV208 ) )
= $true )
| ( ( ( SV43 @ SV188 )
= ( bot_bot_a_o @ SV188 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2237]) ).
thf(2339,plain,
! [SV102: x_a,SV200: x_a,SV43: x_a > $o] :
( ( ( ( SV43 @ SV200 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV200 ) )
= $false )
| ( ( ~ ( ~ ( SV43 @ SV200 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV200 ) ) )
= $true )
| ( ( SV43 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2238]) ).
thf(2340,plain,
! [SV206: x_a,SV103: x_a > $o,SV44: x_a > $o,SV149: x_a > $o] :
( ( ( ~ ( ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 )
| ( SV103 @ SV206 ) ) )
= $true )
| ( ( ~ ( ~ ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 )
| ~ ( SV103 @ SV206 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV149 @ SV44 )
= $false )
| ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2239]) ).
thf(2341,plain,
! [SV104: x_a > $o,SV45: x_a > $o] :
( ( ( SV45 @ ( sK6_SV174 @ SV104 @ SV45 ) )
= $false )
| ( ( ~ ( SV104 @ ( sK6_SV174 @ SV104 @ SV45 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV104 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2242]) ).
thf(2342,plain,
! [SV106: x_a > $o,SV47: x_a] :
( ( ( insert_a @ SV47 @ SV106 @ ( sK4_SV168 @ SV106 @ SV47 ) )
= $false )
| ( ( bot_bot_a_o @ ( sK4_SV168 @ SV106 @ SV47 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2243]) ).
thf(2343,plain,
! [SV151: x_a > $o,SV50: x_a > $o,SV109: x_a > $o] :
( ( ( SV109 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
= $true )
| ( ( SV151 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV50 @ SV151 )
| ( ord_less_eq_a_o @ SV50 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2244]) ).
thf(2344,plain,
! [SV151: x_a > $o,SV50: x_a > $o,SV109: x_a > $o] :
( ( ( ~ ( SV109 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) ) )
= $true )
| ( ( ~ ( SV151 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV50 @ SV151 )
| ( ord_less_eq_a_o @ SV50 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2245]) ).
thf(2345,plain,
! [SV110: x_a > $o,SV51: x_a > $o] :
( ( ( SV51 @ ( sK7_SV175 @ SV110 @ SV51 ) )
= $false )
| ( ( ~ ( SV110 @ ( sK7_SV175 @ SV110 @ SV51 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2248]) ).
thf(2346,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ~ ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
| ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2249]) ).
thf(2347,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ~ ( ~ ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
| ~ ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2249]) ).
thf(2348,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) )
= $false )
| ( ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2250]) ).
thf(2349,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $true )
| ( ( SV55 = SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2251]) ).
thf(2350,plain,
! [SV55: x_a > $o,SV114: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $true )
| ( ( SV55 = SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2252]) ).
thf(2351,plain,
! [SV55: x_a > $o,SV114: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $false )
| ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $false )
| ( ( SV55 = SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2253]) ).
thf(2352,plain,
! [SV190: x_a,SV154: pname > $o,SV116: pname,SV57: pname > x_a] :
( ( ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 )
= $false )
| ( ( ~ ( ~ ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 )
| ~ ( image_pname_a @ SV57 @ SV154 @ SV190 ) ) )
= $true )
| ( ( member_pname @ SV116 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2254]) ).
thf(2353,plain,
! [SV116: pname,SV190: x_a,SV154: pname > $o,SV57: pname > x_a] :
( ( ( image_pname_a @ SV57 @ SV154 @ SV190 )
= $false )
| ( ( ~ ( ~ ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 )
| ~ ( image_pname_a @ SV57 @ SV154 @ SV190 ) ) )
= $true )
| ( ( member_pname @ SV116 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2254]) ).
thf(2354,plain,
! [SV117: x_a > $o,SV58: x_a > $o] :
( ( ( SV58 @ ( sK8_SV176 @ SV117 @ SV58 ) )
= $false )
| ( ( ~ ( SV117 @ ( sK8_SV176 @ SV117 @ SV58 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV58 @ SV117 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2256]) ).
thf(2355,plain,
! [SV59: x_a > $o,SV212: x_a,SV118: x_a > $o] :
( ( ( ( SV118 @ SV212 )
= ( SV59 @ SV212 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2257]) ).
thf(2356,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( ( SV118 @ ( sK21_SV210 @ SV59 @ SV118 ) )
= ( SV59 @ ( sK21_SV210 @ SV59 @ SV118 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2259]) ).
thf(2357,plain,
! [SV120: x_a > $o,SV203: x_a,SV61: x_a > $o] :
( ( ( ( SV61 @ SV203 )
| ( SV120 @ SV203 ) )
= $false )
| ( ( ~ ( ~ ( SV61 @ SV203 )
| ~ ( SV120 @ SV203 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV120 @ SV61 )
= $false )
| ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2261]) ).
thf(2358,plain,
! [SV157: pname > $o,SV63: x_a > $o,SV122: pname > x_a] :
( ( ( ~ ( ~ ( ord_less_eq_pname_o @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV157 )
| ( SV63
!= ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) ) ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2262]) ).
thf(2359,plain,
! [SV122: pname > x_a,SV63: x_a > $o,SV157: pname > $o,SV211: pname > $o] :
( ( ( ~ ( ~ ( ord_less_eq_pname_o @ SV211 @ SV157 )
| ( SV63
!= ( image_pname_a @ SV122 @ SV211 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2263]) ).
thf(2360,plain,
! [SV123: x_a > $o,SV158: x_a > $o,SV64: x_a] :
( ( ( member_a @ SV64 @ SV158 )
= $true )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SV158 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2264]) ).
thf(2361,plain,
! [SV64: x_a,SV158: x_a > $o,SV123: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV123 @ SV158 )
= $true )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SV158 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2265]) ).
thf(2362,plain,
! [SV123: x_a > $o,SV158: x_a > $o,SV64: x_a] :
( ( ( member_a @ SV64 @ SV158 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV123 @ SV158 ) )
= $true )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SV158 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2266]) ).
thf(2363,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 )
| ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) )
= $false )
| ( ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $true )
| ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2267]) ).
thf(2364,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $false )
| ( ( ~ ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 )
| ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2268]) ).
thf(2365,plain,
! [SV125: x_a > $o,SV204: x_a,SV66: x_a > $o] :
( ( ( ( SV66 @ SV204 )
| ( SV125 @ SV204 ) )
= $false )
| ( ( ~ ( ~ ( SV66 @ SV204 )
| ~ ( SV125 @ SV204 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV125 @ SV66 )
= $false )
| ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2271]) ).
thf(2366,plain,
! [SV169: x_a,SV128: x_a > $o,SV70: x_a,SV4: x_a] :
( ( ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 )
= $true )
| ( ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2276]) ).
thf(2367,plain,
! [SV169: x_a,SV128: x_a > $o,SV4: x_a,SV70: x_a] :
( ( ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 )
= $true )
| ( ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2277]) ).
thf(2368,plain,
! [SV169: x_a,SV128: x_a > $o,SV70: x_a,SV4: x_a] :
( ( ( insert_a @ SV4 @ ( insert_a @ SV70 @ SV128 ) @ SV169 )
= $true )
| ( ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2278]) ).
thf(2369,plain,
! [SV169: x_a,SV128: x_a > $o,SV4: x_a,SV70: x_a] :
( ( ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 )
= $true )
| ( ( insert_a @ SV70 @ ( insert_a @ SV4 @ SV128 ) @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2279]) ).
thf(2370,plain,
! [SV170: x_a,SV129: pname > $o,SV72: pname,SV7: pname > x_a] :
( ( ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 )
= $true )
| ( ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2280]) ).
thf(2371,plain,
! [SV170: x_a,SV129: pname > $o,SV72: pname,SV7: pname > x_a] :
( ( ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 )
= $true )
| ( ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2281]) ).
thf(2372,plain,
! [SV170: x_a,SV129: pname > $o,SV72: pname,SV7: pname > x_a] :
( ( ( image_pname_a @ SV7 @ ( insert_pname @ SV72 @ SV129 ) @ SV170 )
= $true )
| ( ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2282]) ).
thf(2373,plain,
! [SV170: x_a,SV129: pname > $o,SV72: pname,SV7: pname > x_a] :
( ( ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 )
= $true )
| ( ( insert_a @ ( SV7 @ SV72 ) @ ( image_pname_a @ SV7 @ SV129 ) @ SV170 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2283]) ).
thf(2374,plain,
! [SV11: $o] :
( ( ( SV11
| $false )
= $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2284]) ).
thf(2375,plain,
! [SV11: $o] :
( ( ( SV11
| $false )
= $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2285]) ).
thf(2376,plain,
! [SV11: $o] :
( ( ( SV11
| $false )
= $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2286]) ).
thf(2377,plain,
! [SV11: $o] :
( ( ( SV11
| $false )
= $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2287]) ).
thf(2378,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2288]) ).
thf(2379,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2289]) ).
thf(2380,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2290]) ).
thf(2381,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2291]) ).
thf(2382,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2292]) ).
thf(2383,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2293]) ).
thf(2384,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2294]) ).
thf(2385,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2295]) ).
thf(2386,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ( ( insert_a @ SV76 @ SV131 )
!= ( insert_a @ SV76 @ SV14 ) )
| ( SV131 = SV14 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2297]) ).
thf(2387,plain,
! [SV76: x_a,SV14: x_a > $o,SV131: x_a > $o] :
( ( ( ( SV131 != SV14 )
| ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2298]) ).
thf(2388,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
| ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2299]) ).
thf(2389,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ~ ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
| ~ ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2300]) ).
thf(2390,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 ) )
= $false )
| ( ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2301]) ).
thf(2391,plain,
! [SV17: x_a > $o,SV79: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) )
= $false )
| ( ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2301]) ).
thf(2392,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ! [SV213: x_a] :
( ( SV17 @ SV213 )
= ( SV79 @ SV213 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2304]) ).
thf(2393,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( SV17 = SV79 )
= $true )
| ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2304]) ).
thf(2394,plain,
! [SV18: x_a,SV80: x_a] :
( ( ( insert_a @ SV80 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) )
= $false )
| ( ( insert_a @ SV18 @ bot_bot_a_o @ ( sK5_SV171 @ SV80 @ SV18 ) )
= $false )
| ( ( SV18 = SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2305]) ).
thf(2395,plain,
! [SV172: x_a,SV20: x_a > $o] :
( ( ( SV20 @ SV172 )
= $true )
| ( ( SV20 @ SV172 )
= $false )
| ( ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2306]) ).
thf(2396,plain,
! [SV20: x_a > $o,SV172: x_a] :
( ( ( bot_bot_a_o @ SV172 )
= $true )
| ( ( SV20 @ SV172 )
= $false )
| ( ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2307]) ).
thf(2397,plain,
! [SV172: x_a,SV20: x_a > $o] :
( ( ( SV20 @ SV172 )
= $true )
| ( ( bot_bot_a_o @ SV172 )
= $false )
| ( ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2308]) ).
thf(2398,plain,
! [SV20: x_a > $o,SV172: x_a] :
( ( ( bot_bot_a_o @ SV172 )
= $true )
| ( ( bot_bot_a_o @ SV172 )
= $false )
| ( ( ord_less_eq_a_o @ SV20 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2309]) ).
thf(2399,plain,
! [SV194: x_a,SV22: x_a > $o] :
( ( ( SV22 @ SV194 )
= $false )
| ( ( ~ ( ~ ( SV22 @ SV194 )
| ~ ( bot_bot_a_o @ SV194 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2310]) ).
thf(2400,plain,
! [SV22: x_a > $o,SV194: x_a] :
( ( ( bot_bot_a_o @ SV194 )
= $false )
| ( ( ~ ( ~ ( SV22 @ SV194 )
| ~ ( bot_bot_a_o @ SV194 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2310]) ).
thf(2401,plain,
! [SV22: x_a > $o] :
( ( ( SV22 @ ( sK12_SV184 @ SV22 ) )
= $true )
| ( ( bot_bot_a_o @ ( sK12_SV184 @ SV22 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2311]) ).
thf(2402,plain,
! [SV22: x_a > $o] :
( ( ( ~ ( SV22 @ ( sK12_SV184 @ SV22 ) ) )
= $true )
| ( ( ~ ( bot_bot_a_o @ ( sK12_SV184 @ SV22 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2312]) ).
thf(2403,plain,
! [SV83: x_a > $o,SV23: x_a > $o,SV134: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV134 @ SV23 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV83 @ SV23 )
= $true )
| ( ( SV134 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
= $true )
| ( ( SV83 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2313]) ).
thf(2404,plain,
! [SV134: x_a > $o,SV23: x_a > $o,SV83: x_a > $o] :
( ( ( SV83 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
= $false )
| ( ( ~ ( SV134 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV134 @ SV23 )
| ( ord_less_eq_a_o @ SV83 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2314]) ).
thf(2405,plain,
! [SV195: x_a,SV25: x_a > $o] :
( ( ( SV25 @ SV195 )
= $false )
| ( ( ~ ( ~ ( SV25 @ SV195 )
| ~ ( bot_bot_a_o @ SV195 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2315]) ).
thf(2406,plain,
! [SV25: x_a > $o,SV195: x_a] :
( ( ( bot_bot_a_o @ SV195 )
= $false )
| ( ( ~ ( ~ ( SV25 @ SV195 )
| ~ ( bot_bot_a_o @ SV195 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2315]) ).
thf(2407,plain,
! [SV25: x_a > $o] :
( ( ( SV25 @ ( sK13_SV186 @ SV25 ) )
= $true )
| ( ( bot_bot_a_o @ ( sK13_SV186 @ SV25 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2316]) ).
thf(2408,plain,
! [SV25: x_a > $o] :
( ( ( ~ ( SV25 @ ( sK13_SV186 @ SV25 ) ) )
= $true )
| ( ( ~ ( bot_bot_a_o @ ( sK13_SV186 @ SV25 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2317]) ).
thf(2409,plain,
! [SV28: x_a > $o,SV138: x_a > $o,SV87: x_a > $o] :
( ( ( ( SV87 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) )
| ( SV28 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV28 @ SV138 )
= $true )
| ( ( ord_less_eq_a_o @ SV87 @ SV138 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2318]) ).
thf(2410,plain,
! [SV28: x_a > $o,SV138: x_a > $o,SV87: x_a > $o] :
( ( ( ~ ( SV87 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) )
| ~ ( SV28 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV28 @ SV138 )
= $true )
| ( ( ord_less_eq_a_o @ SV87 @ SV138 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2319]) ).
thf(2411,plain,
! [SV140: x_a,SV166: x_a,SV89: x_a,SV30: x_a] :
( ( ( ~ ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
| ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
| ~ ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
| ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) ) )
= $false )
| ( ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2324]) ).
thf(2412,plain,
! [SV140: x_a,SV166: x_a,SV89: x_a,SV30: x_a] :
( ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $false )
| ( ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2324]) ).
thf(2413,plain,
! [SV166: x_a,SV89: x_a,SV140: x_a,SV30: x_a] :
( ( ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
= $false )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2325]) ).
thf(2414,plain,
! [SV166: x_a,SV89: x_a,SV140: x_a,SV30: x_a] :
( ( ( SV30 != SV140 )
= $true )
| ( ( SV89 != SV166 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2326]) ).
thf(2415,plain,
! [SV140: x_a,SV89: x_a,SV166: x_a,SV30: x_a] :
( ( ( SV30 != SV166 )
= $true )
| ( ( SV89 != SV140 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2327]) ).
thf(2416,plain,
! [SV33: x_a > $o,SV198: x_a,SV92: x_a > $o] :
( ( ( SV92 @ SV198 )
= $false )
| ( ( ~ ( ~ ( SV92 @ SV198 )
| ~ ( SV33 @ SV198 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV92 @ SV33 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2328]) ).
thf(2417,plain,
! [SV92: x_a > $o,SV198: x_a,SV33: x_a > $o] :
( ( ( SV33 @ SV198 )
= $false )
| ( ( ~ ( ~ ( SV92 @ SV198 )
| ~ ( SV33 @ SV198 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV92 @ SV33 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2328]) ).
thf(2418,plain,
! [SV40: x_a > $o,SV99: x_a > $o,SV147: x_a > $o] :
( ( ( ( SV147 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) )
| ( SV40 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV99 @ SV40 )
= $true )
| ( ( ord_less_eq_a_o @ SV99 @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2331]) ).
thf(2419,plain,
! [SV40: x_a > $o,SV99: x_a > $o,SV147: x_a > $o] :
( ( ( ~ ( SV147 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) )
| ~ ( SV40 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV99 @ SV40 )
= $true )
| ( ( ord_less_eq_a_o @ SV99 @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2332]) ).
thf(2420,plain,
! [SV179: x_a,SV100: x_a > $o,SV41: x_a] :
( ( ( ~ ( insert_a @ SV41 @ SV100 @ SV179 ) )
= $false )
| ( ( insert_a @ SV41 @ SV100 @ SV179 )
= $false )
| ( ( member_a @ SV41 @ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2333]) ).
thf(2421,plain,
! [SV41: x_a,SV179: x_a,SV100: x_a > $o] :
( ( ( ~ ( SV100 @ SV179 ) )
= $false )
| ( ( insert_a @ SV41 @ SV100 @ SV179 )
= $false )
| ( ( member_a @ SV41 @ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2333]) ).
thf(2422,plain,
! [SV179: x_a,SV100: x_a > $o,SV41: x_a] :
( ( ( ~ ( insert_a @ SV41 @ SV100 @ SV179 ) )
= $false )
| ( ( SV100 @ SV179 )
= $false )
| ( ( member_a @ SV41 @ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2334]) ).
thf(2423,plain,
! [SV41: x_a,SV179: x_a,SV100: x_a > $o] :
( ( ( ~ ( SV100 @ SV179 ) )
= $false )
| ( ( SV100 @ SV179 )
= $false )
| ( ( member_a @ SV41 @ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2334]) ).
thf(2424,plain,
! [SV102: x_a,SV188: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV188 )
| ~ ( bot_bot_a_o @ SV188 ) )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2335]) ).
thf(2425,plain,
! [SV102: x_a,SV188: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV188 )
| ~ ( bot_bot_a_o @ SV188 ) )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2336]) ).
thf(2426,plain,
! [SV188: x_a,SV102: x_a,SV208: x_a,SV43: x_a > $o] :
( ( ( ~ ( ( SV43 @ SV208 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV208 ) ) )
= $true )
| ( ( ~ ( ~ ( SV43 @ SV208 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV208 ) ) )
= $true )
| ( ( ( SV43 @ SV188 )
= ( bot_bot_a_o @ SV188 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2337]) ).
thf(2427,plain,
! [SV102: x_a,SV200: x_a,SV43: x_a > $o] :
( ( ( SV43 @ SV200 )
= $false )
| ( ( ~ ( ~ ( SV43 @ SV200 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV200 ) ) )
= $true )
| ( ( SV43 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2339]) ).
thf(2428,plain,
! [SV43: x_a > $o,SV200: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV200 )
= $false )
| ( ( ~ ( ~ ( SV43 @ SV200 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV200 ) ) )
= $true )
| ( ( SV43 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2339]) ).
thf(2429,plain,
! [SV206: x_a,SV103: x_a > $o,SV44: x_a > $o,SV149: x_a > $o] :
( ( ( ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 )
| ( SV103 @ SV206 ) )
= $false )
| ( ( ~ ( ~ ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 )
| ~ ( SV103 @ SV206 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV149 @ SV44 )
= $false )
| ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2340]) ).
thf(2430,plain,
! [SV45: x_a > $o,SV104: x_a > $o] :
( ( ( SV104 @ ( sK6_SV174 @ SV104 @ SV45 ) )
= $false )
| ( ( SV45 @ ( sK6_SV174 @ SV104 @ SV45 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV104 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2341]) ).
thf(2431,plain,
! [SV109: x_a > $o,SV151: x_a > $o,SV50: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV50 @ SV151 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV50 @ SV109 )
= $true )
| ( ( SV151 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
= $true )
| ( ( SV109 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2343]) ).
thf(2432,plain,
! [SV151: x_a > $o,SV50: x_a > $o,SV109: x_a > $o] :
( ( ( SV109 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
= $false )
| ( ( ~ ( SV151 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV50 @ SV151 )
| ( ord_less_eq_a_o @ SV50 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2344]) ).
thf(2433,plain,
! [SV51: x_a > $o,SV110: x_a > $o] :
( ( ( SV110 @ ( sK7_SV175 @ SV110 @ SV51 ) )
= $false )
| ( ( SV51 @ ( sK7_SV175 @ SV110 @ SV51 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2345]) ).
thf(2434,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
| ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2346]) ).
thf(2435,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ~ ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
| ~ ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2347]) ).
thf(2436,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 ) )
= $false )
| ( ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2348]) ).
thf(2437,plain,
! [SV55: x_a > $o,SV114: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) )
= $false )
| ( ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2348]) ).
thf(2438,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ! [SV214: x_a] :
( ( SV55 @ SV214 )
= ( SV114 @ SV214 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $false )
| ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2351]) ).
thf(2439,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( SV55 = SV114 )
= $true )
| ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $false )
| ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2351]) ).
thf(2440,plain,
! [SV190: x_a,SV154: pname > $o,SV116: pname,SV57: pname > x_a] :
( ( ( ~ ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 )
| ~ ( image_pname_a @ SV57 @ SV154 @ SV190 ) )
= $false )
| ( ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 )
= $false )
| ( ( member_pname @ SV116 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2352]) ).
thf(2441,plain,
! [SV190: x_a,SV154: pname > $o,SV116: pname,SV57: pname > x_a] :
( ( ( ~ ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 )
| ~ ( image_pname_a @ SV57 @ SV154 @ SV190 ) )
= $false )
| ( ( image_pname_a @ SV57 @ SV154 @ SV190 )
= $false )
| ( ( member_pname @ SV116 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2353]) ).
thf(2442,plain,
! [SV58: x_a > $o,SV117: x_a > $o] :
( ( ( SV117 @ ( sK8_SV176 @ SV117 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK8_SV176 @ SV117 @ SV58 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV58 @ SV117 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2354]) ).
thf(2443,plain,
! [SV59: x_a > $o,SV212: x_a,SV118: x_a > $o] :
( ( ( ~ ( ( SV118 @ SV212 )
| ( SV59 @ SV212 ) )
| ~ ( ~ ( SV118 @ SV212 )
| ~ ( SV59 @ SV212 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2355]) ).
thf(2444,plain,
! [SV59: x_a > $o,SV212: x_a,SV118: x_a > $o] :
( ( ( ( SV118 @ SV212 )
= ( SV59 @ SV212 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2355]) ).
thf(2445,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( ~ ( ( SV118 @ ( sK21_SV210 @ SV59 @ SV118 ) )
| ( SV59 @ ( sK21_SV210 @ SV59 @ SV118 ) ) )
| ~ ( ~ ( SV118 @ ( sK21_SV210 @ SV59 @ SV118 ) )
| ~ ( SV59 @ ( sK21_SV210 @ SV59 @ SV118 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2356]) ).
thf(2446,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( ( SV118 @ ( sK21_SV210 @ SV59 @ SV118 ) )
= ( SV59 @ ( sK21_SV210 @ SV59 @ SV118 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2356]) ).
thf(2447,plain,
! [SV120: x_a > $o,SV203: x_a,SV61: x_a > $o] :
( ( ( SV61 @ SV203 )
= $false )
| ( ( ~ ( ~ ( SV61 @ SV203 )
| ~ ( SV120 @ SV203 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV120 @ SV61 )
= $false )
| ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2357]) ).
thf(2448,plain,
! [SV61: x_a > $o,SV203: x_a,SV120: x_a > $o] :
( ( ( SV120 @ SV203 )
= $false )
| ( ( ~ ( ~ ( SV61 @ SV203 )
| ~ ( SV120 @ SV203 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV120 @ SV61 )
= $false )
| ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2357]) ).
thf(2449,plain,
! [SV157: pname > $o,SV63: x_a > $o,SV122: pname > x_a] :
( ( ( ~ ( ord_less_eq_pname_o @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV157 )
| ( SV63
!= ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2358]) ).
thf(2450,plain,
! [SV122: pname > x_a,SV63: x_a > $o,SV157: pname > $o,SV211: pname > $o] :
( ( ( ~ ( ord_less_eq_pname_o @ SV211 @ SV157 )
| ( SV63
!= ( image_pname_a @ SV122 @ SV211 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2359]) ).
thf(2451,plain,
! [SV64: x_a,SV158: x_a > $o,SV123: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV123 @ SV158 )
= $false )
| ( ( member_a @ SV64 @ SV158 )
= $false )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV64 @ SV123 ) @ SV158 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2362]) ).
thf(2452,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 ) )
= $false )
| ( ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $true )
| ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2363]) ).
thf(2453,plain,
! [SV65: x_a > $o,SV124: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) )
= $false )
| ( ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $true )
| ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2363]) ).
thf(2454,plain,
! [SV65: x_a > $o,SV124: x_a > $o] :
( ( ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $false )
| ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 )
| ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2364]) ).
thf(2455,plain,
! [SV125: x_a > $o,SV204: x_a,SV66: x_a > $o] :
( ( ( SV66 @ SV204 )
= $false )
| ( ( ~ ( ~ ( SV66 @ SV204 )
| ~ ( SV125 @ SV204 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV125 @ SV66 )
= $false )
| ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2365]) ).
thf(2456,plain,
! [SV66: x_a > $o,SV204: x_a,SV125: x_a > $o] :
( ( ( SV125 @ SV204 )
= $false )
| ( ( ~ ( ~ ( SV66 @ SV204 )
| ~ ( SV125 @ SV204 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV125 @ SV66 )
= $false )
| ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2365]) ).
thf(2457,plain,
! [SV11: $o] :
( ( SV11 = $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2374]) ).
thf(2458,plain,
! [SV11: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2374]) ).
thf(2459,plain,
! [SV11: $o] :
( ( SV11 = $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2375]) ).
thf(2460,plain,
! [SV11: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2375]) ).
thf(2461,plain,
! [SV11: $o] :
( ( SV11 = $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2376]) ).
thf(2462,plain,
! [SV11: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2376]) ).
thf(2463,plain,
! [SV11: $o] :
( ( SV11 = $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2377]) ).
thf(2464,plain,
! [SV11: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2377]) ).
thf(2465,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2378]) ).
thf(2466,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2378]) ).
thf(2467,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2379]) ).
thf(2468,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2379]) ).
thf(2469,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2380]) ).
thf(2470,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2380]) ).
thf(2471,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2381]) ).
thf(2472,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2381]) ).
thf(2473,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2382]) ).
thf(2474,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2382]) ).
thf(2475,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2383]) ).
thf(2476,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2383]) ).
thf(2477,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2384]) ).
thf(2478,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2384]) ).
thf(2479,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2385]) ).
thf(2480,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2385]) ).
thf(2481,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 )
!= ( insert_a @ SV76 @ SV14 ) )
= $true )
| ( ( SV131 = SV14 )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2386]) ).
thf(2482,plain,
! [SV76: x_a,SV14: x_a > $o,SV131: x_a > $o] :
( ( ( SV131 != SV14 )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2387]) ).
thf(2483,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $true )
| ( ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2388]) ).
thf(2484,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ~ ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) ) )
= $true )
| ( ( ~ ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2389]) ).
thf(2485,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $true )
| ( ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2390]) ).
thf(2486,plain,
! [SV17: x_a > $o,SV79: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $true )
| ( ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2391]) ).
thf(2487,plain,
! [SV79: x_a > $o,SV215: x_a,SV17: x_a > $o] :
( ( ( ( SV17 @ SV215 )
= ( SV79 @ SV215 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2392]) ).
thf(2488,plain,
! [SV194: x_a,SV22: x_a > $o] :
( ( ( ~ ( SV22 @ SV194 )
| ~ ( bot_bot_a_o @ SV194 ) )
= $false )
| ( ( SV22 @ SV194 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2399]) ).
thf(2489,plain,
! [SV194: x_a,SV22: x_a > $o] :
( ( ( ~ ( SV22 @ SV194 )
| ~ ( bot_bot_a_o @ SV194 ) )
= $false )
| ( ( bot_bot_a_o @ SV194 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2400]) ).
thf(2490,plain,
! [SV22: x_a > $o] :
( ( ( SV22 @ ( sK12_SV184 @ SV22 ) )
= $false )
| ( ( ~ ( bot_bot_a_o @ ( sK12_SV184 @ SV22 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2402]) ).
thf(2491,plain,
! [SV83: x_a > $o,SV23: x_a > $o,SV134: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV134 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV83 @ SV23 )
= $true )
| ( ( SV134 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
= $true )
| ( ( SV83 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2403]) ).
thf(2492,plain,
! [SV83: x_a > $o,SV23: x_a > $o,SV134: x_a > $o] :
( ( ( SV134 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
= $false )
| ( ( SV83 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV134 @ SV23 )
| ( ord_less_eq_a_o @ SV83 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2404]) ).
thf(2493,plain,
! [SV195: x_a,SV25: x_a > $o] :
( ( ( ~ ( SV25 @ SV195 )
| ~ ( bot_bot_a_o @ SV195 ) )
= $false )
| ( ( SV25 @ SV195 )
= $false )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2405]) ).
thf(2494,plain,
! [SV195: x_a,SV25: x_a > $o] :
( ( ( ~ ( SV25 @ SV195 )
| ~ ( bot_bot_a_o @ SV195 ) )
= $false )
| ( ( bot_bot_a_o @ SV195 )
= $false )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2406]) ).
thf(2495,plain,
! [SV25: x_a > $o] :
( ( ( SV25 @ ( sK13_SV186 @ SV25 ) )
= $false )
| ( ( ~ ( bot_bot_a_o @ ( sK13_SV186 @ SV25 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2408]) ).
thf(2496,plain,
! [SV28: x_a > $o,SV138: x_a > $o,SV87: x_a > $o] :
( ( ( SV87 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) )
= $true )
| ( ( SV28 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV28 @ SV138 )
= $true )
| ( ( ord_less_eq_a_o @ SV87 @ SV138 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2409]) ).
thf(2497,plain,
! [SV28: x_a > $o,SV138: x_a > $o,SV87: x_a > $o] :
( ( ( ~ ( SV87 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) ) )
= $true )
| ( ( ~ ( SV28 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV28 @ SV138 )
= $true )
| ( ( ord_less_eq_a_o @ SV87 @ SV138 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2410]) ).
thf(2498,plain,
! [SV140: x_a,SV166: x_a,SV89: x_a,SV30: x_a] :
( ( ( ~ ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
| ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) ) )
= $false )
| ( ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2411]) ).
thf(2499,plain,
! [SV140: x_a,SV166: x_a,SV89: x_a,SV30: x_a] :
( ( ( ~ ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
| ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) ) )
= $false )
| ( ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2411]) ).
thf(2500,plain,
! [SV166: x_a,SV89: x_a,SV140: x_a,SV30: x_a] :
( ( ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) ) )
= $true )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2412]) ).
thf(2501,plain,
! [SV89: x_a,SV166: x_a,SV140: x_a,SV30: x_a] :
( ( ( SV30 != SV140 )
= $false )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2413]) ).
thf(2502,plain,
! [SV140: x_a,SV30: x_a,SV166: x_a,SV89: x_a] :
( ( ( SV89 != SV166 )
= $false )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2413]) ).
thf(2503,plain,
! [SV166: x_a,SV89: x_a,SV140: x_a,SV30: x_a] :
( ( ( SV30 = SV140 )
= $false )
| ( ( SV89 != SV166 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2414]) ).
thf(2504,plain,
! [SV140: x_a,SV89: x_a,SV166: x_a,SV30: x_a] :
( ( ( SV30 = SV166 )
= $false )
| ( ( SV89 != SV140 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2415]) ).
thf(2505,plain,
! [SV33: x_a > $o,SV198: x_a,SV92: x_a > $o] :
( ( ( ~ ( SV92 @ SV198 )
| ~ ( SV33 @ SV198 ) )
= $false )
| ( ( SV92 @ SV198 )
= $false )
| ( ( ord_less_eq_a_o @ SV92 @ SV33 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2416]) ).
thf(2506,plain,
! [SV33: x_a > $o,SV198: x_a,SV92: x_a > $o] :
( ( ( ~ ( SV92 @ SV198 )
| ~ ( SV33 @ SV198 ) )
= $false )
| ( ( SV33 @ SV198 )
= $false )
| ( ( ord_less_eq_a_o @ SV92 @ SV33 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2417]) ).
thf(2507,plain,
! [SV40: x_a > $o,SV99: x_a > $o,SV147: x_a > $o] :
( ( ( SV147 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) )
= $true )
| ( ( SV40 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV99 @ SV40 )
= $true )
| ( ( ord_less_eq_a_o @ SV99 @ SV147 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2418]) ).
thf(2508,plain,
! [SV40: x_a > $o,SV99: x_a > $o,SV147: x_a > $o] :
( ( ( ~ ( SV147 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) ) )
= $true )
| ( ( ~ ( SV40 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV99 @ SV40 )
= $true )
| ( ( ord_less_eq_a_o @ SV99 @ SV147 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2419]) ).
thf(2509,plain,
! [SV179: x_a,SV100: x_a > $o,SV41: x_a] :
( ( ( insert_a @ SV41 @ SV100 @ SV179 )
= $true )
| ( ( insert_a @ SV41 @ SV100 @ SV179 )
= $false )
| ( ( member_a @ SV41 @ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2420]) ).
thf(2510,plain,
! [SV41: x_a,SV179: x_a,SV100: x_a > $o] :
( ( ( SV100 @ SV179 )
= $true )
| ( ( insert_a @ SV41 @ SV100 @ SV179 )
= $false )
| ( ( member_a @ SV41 @ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2421]) ).
thf(2511,plain,
! [SV179: x_a,SV100: x_a > $o,SV41: x_a] :
( ( ( insert_a @ SV41 @ SV100 @ SV179 )
= $true )
| ( ( SV100 @ SV179 )
= $false )
| ( ( member_a @ SV41 @ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2422]) ).
thf(2512,plain,
! [SV41: x_a,SV179: x_a,SV100: x_a > $o] :
( ( ( SV100 @ SV179 )
= $true )
| ( ( SV100 @ SV179 )
= $false )
| ( ( member_a @ SV41 @ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2423]) ).
thf(2513,plain,
! [SV102: x_a,SV188: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV188 ) )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2424]) ).
thf(2514,plain,
! [SV102: x_a,SV43: x_a > $o,SV188: x_a] :
( ( ( ~ ( bot_bot_a_o @ SV188 ) )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2424]) ).
thf(2515,plain,
! [SV102: x_a,SV188: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV188 ) )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2425]) ).
thf(2516,plain,
! [SV102: x_a,SV43: x_a > $o,SV188: x_a] :
( ( ( ~ ( bot_bot_a_o @ SV188 ) )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2425]) ).
thf(2517,plain,
! [SV188: x_a,SV102: x_a,SV208: x_a,SV43: x_a > $o] :
( ( ( ( SV43 @ SV208 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV208 ) )
= $false )
| ( ( ~ ( ~ ( SV43 @ SV208 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV208 ) ) )
= $true )
| ( ( ( SV43 @ SV188 )
= ( bot_bot_a_o @ SV188 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2426]) ).
thf(2518,plain,
! [SV102: x_a,SV200: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV200 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV200 ) )
= $false )
| ( ( SV43 @ SV200 )
= $false )
| ( ( SV43 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2427]) ).
thf(2519,plain,
! [SV102: x_a,SV200: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV200 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV200 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV200 )
= $false )
| ( ( SV43 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2428]) ).
thf(2520,plain,
! [SV206: x_a,SV103: x_a > $o,SV44: x_a > $o,SV149: x_a > $o] :
( ( ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 )
= $false )
| ( ( ~ ( ~ ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 )
| ~ ( SV103 @ SV206 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV149 @ SV44 )
= $false )
| ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2429]) ).
thf(2521,plain,
! [SV44: x_a > $o,SV149: x_a > $o,SV206: x_a,SV103: x_a > $o] :
( ( ( SV103 @ SV206 )
= $false )
| ( ( ~ ( ~ ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 )
| ~ ( SV103 @ SV206 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV149 @ SV44 )
= $false )
| ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2429]) ).
thf(2522,plain,
! [SV109: x_a > $o,SV151: x_a > $o,SV50: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV50 @ SV151 )
= $false )
| ( ( ord_less_eq_a_o @ SV50 @ SV109 )
= $true )
| ( ( SV151 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
= $true )
| ( ( SV109 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2431]) ).
thf(2523,plain,
! [SV109: x_a > $o,SV50: x_a > $o,SV151: x_a > $o] :
( ( ( SV151 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
= $false )
| ( ( SV109 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV50 @ SV151 )
| ( ord_less_eq_a_o @ SV50 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2432]) ).
thf(2524,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $true )
| ( ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2434]) ).
thf(2525,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ~ ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) ) )
= $true )
| ( ( ~ ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2435]) ).
thf(2526,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $true )
| ( ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2436]) ).
thf(2527,plain,
! [SV55: x_a > $o,SV114: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $true )
| ( ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2437]) ).
thf(2528,plain,
! [SV114: x_a > $o,SV216: x_a,SV55: x_a > $o] :
( ( ( ( SV55 @ SV216 )
= ( SV114 @ SV216 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $false )
| ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2438]) ).
thf(2529,plain,
! [SV190: x_a,SV154: pname > $o,SV116: pname,SV57: pname > x_a] :
( ( ( ~ ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 ) )
= $false )
| ( ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 )
= $false )
| ( ( member_pname @ SV116 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2440]) ).
thf(2530,plain,
! [SV116: pname,SV190: x_a,SV154: pname > $o,SV57: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV57 @ SV154 @ SV190 ) )
= $false )
| ( ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 )
= $false )
| ( ( member_pname @ SV116 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2440]) ).
thf(2531,plain,
! [SV190: x_a,SV154: pname > $o,SV116: pname,SV57: pname > x_a] :
( ( ( ~ ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 ) )
= $false )
| ( ( image_pname_a @ SV57 @ SV154 @ SV190 )
= $false )
| ( ( member_pname @ SV116 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2441]) ).
thf(2532,plain,
! [SV116: pname,SV190: x_a,SV154: pname > $o,SV57: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV57 @ SV154 @ SV190 ) )
= $false )
| ( ( image_pname_a @ SV57 @ SV154 @ SV190 )
= $false )
| ( ( member_pname @ SV116 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2441]) ).
thf(2533,plain,
! [SV59: x_a > $o,SV212: x_a,SV118: x_a > $o] :
( ( ( ~ ( ( SV118 @ SV212 )
| ( SV59 @ SV212 ) ) )
= $true )
| ( ( ~ ( ~ ( SV118 @ SV212 )
| ~ ( SV59 @ SV212 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2443]) ).
thf(2534,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( ~ ( ( SV118 @ ( sK21_SV210 @ SV59 @ SV118 ) )
| ( SV59 @ ( sK21_SV210 @ SV59 @ SV118 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2445]) ).
thf(2535,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( ~ ( ~ ( SV118 @ ( sK21_SV210 @ SV59 @ SV118 ) )
| ~ ( SV59 @ ( sK21_SV210 @ SV59 @ SV118 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2445]) ).
thf(2536,plain,
! [SV120: x_a > $o,SV203: x_a,SV61: x_a > $o] :
( ( ( ~ ( SV61 @ SV203 )
| ~ ( SV120 @ SV203 ) )
= $false )
| ( ( SV61 @ SV203 )
= $false )
| ( ( ord_less_eq_a_o @ SV120 @ SV61 )
= $false )
| ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2447]) ).
thf(2537,plain,
! [SV120: x_a > $o,SV203: x_a,SV61: x_a > $o] :
( ( ( ~ ( SV61 @ SV203 )
| ~ ( SV120 @ SV203 ) )
= $false )
| ( ( SV120 @ SV203 )
= $false )
| ( ( ord_less_eq_a_o @ SV120 @ SV61 )
= $false )
| ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2448]) ).
thf(2538,plain,
! [SV157: pname > $o,SV63: x_a > $o,SV122: pname > x_a] :
( ( ( ~ ( ord_less_eq_pname_o @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV157 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2449]) ).
thf(2539,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV63: x_a > $o] :
( ( ( SV63
!= ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2449]) ).
thf(2540,plain,
! [SV122: pname > x_a,SV63: x_a > $o,SV157: pname > $o,SV211: pname > $o] :
( ( ( ~ ( ord_less_eq_pname_o @ SV211 @ SV157 ) )
= $true )
| ( ( SV63
!= ( image_pname_a @ SV122 @ SV211 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2450]) ).
thf(2541,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV65 @ SV124 )
= $true )
| ( ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $true )
| ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2452]) ).
thf(2542,plain,
! [SV65: x_a > $o,SV124: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV124 @ SV65 )
= $true )
| ( ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $true )
| ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2453]) ).
thf(2543,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 )
| ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) )
= $false )
| ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $false )
| ( ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2454]) ).
thf(2544,plain,
! [SV125: x_a > $o,SV204: x_a,SV66: x_a > $o] :
( ( ( ~ ( SV66 @ SV204 )
| ~ ( SV125 @ SV204 ) )
= $false )
| ( ( SV66 @ SV204 )
= $false )
| ( ( ord_less_eq_a_o @ SV125 @ SV66 )
= $false )
| ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2455]) ).
thf(2545,plain,
! [SV125: x_a > $o,SV204: x_a,SV66: x_a > $o] :
( ( ( ~ ( SV66 @ SV204 )
| ~ ( SV125 @ SV204 ) )
= $false )
| ( ( SV125 @ SV204 )
= $false )
| ( ( ord_less_eq_a_o @ SV125 @ SV66 )
= $false )
| ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2456]) ).
thf(2546,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $false )
= $false )
| ( SV11 = $false )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2457]) ).
thf(2547,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $false )
= $false )
| ( $false = $false )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2458]) ).
thf(2548,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $false )
= $false )
| ( SV11 = $false )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2459]) ).
thf(2549,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $false )
= $false )
| ( $false = $false )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2460]) ).
thf(2550,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $false )
= $false )
| ( SV11 = $false )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2461]) ).
thf(2551,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2462]) ).
thf(2552,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $false )
= $false )
| ( SV11 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2463]) ).
thf(2553,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2464]) ).
thf(2554,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2465]) ).
thf(2555,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2466]) ).
thf(2556,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2467]) ).
thf(2557,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2468]) ).
thf(2558,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2469]) ).
thf(2559,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2470]) ).
thf(2560,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2471]) ).
thf(2561,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2472]) ).
thf(2562,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2473]) ).
thf(2563,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2474]) ).
thf(2564,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2475]) ).
thf(2565,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2476]) ).
thf(2566,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2477]) ).
thf(2567,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2478]) ).
thf(2568,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2479]) ).
thf(2569,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2480]) ).
thf(2570,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $false )
| ( ( SV131 = SV14 )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2481]) ).
thf(2571,plain,
! [SV76: x_a,SV14: x_a > $o,SV131: x_a > $o] :
( ( ( SV131 = SV14 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2482]) ).
thf(2572,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) )
= $false )
| ( ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $true )
| ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2483]) ).
thf(2573,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $false )
| ( ( ~ ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2484]) ).
thf(2574,plain,
! [SV79: x_a > $o,SV215: x_a,SV17: x_a > $o] :
( ( ( ~ ( ( SV17 @ SV215 )
| ( SV79 @ SV215 ) )
| ~ ( ~ ( SV17 @ SV215 )
| ~ ( SV79 @ SV215 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2487]) ).
thf(2575,plain,
! [SV79: x_a > $o,SV215: x_a,SV17: x_a > $o] :
( ( ( ( SV17 @ SV215 )
= ( SV79 @ SV215 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2487]) ).
thf(2576,plain,
! [SV194: x_a,SV22: x_a > $o] :
( ( ( ~ ( SV22 @ SV194 ) )
= $false )
| ( ( SV22 @ SV194 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2488]) ).
thf(2577,plain,
! [SV22: x_a > $o,SV194: x_a] :
( ( ( ~ ( bot_bot_a_o @ SV194 ) )
= $false )
| ( ( SV22 @ SV194 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2488]) ).
thf(2578,plain,
! [SV194: x_a,SV22: x_a > $o] :
( ( ( ~ ( SV22 @ SV194 ) )
= $false )
| ( ( bot_bot_a_o @ SV194 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2489]) ).
thf(2579,plain,
! [SV22: x_a > $o,SV194: x_a] :
( ( ( ~ ( bot_bot_a_o @ SV194 ) )
= $false )
| ( ( bot_bot_a_o @ SV194 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2489]) ).
thf(2580,plain,
! [SV22: x_a > $o] :
( ( ( bot_bot_a_o @ ( sK12_SV184 @ SV22 ) )
= $false )
| ( ( SV22 @ ( sK12_SV184 @ SV22 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2490]) ).
thf(2581,plain,
! [SV83: x_a > $o,SV23: x_a > $o,SV134: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV134 @ SV23 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV83 @ SV23 )
= $true )
| ( ( SV83 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
= $false )
| ( ( SV134 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2492]) ).
thf(2582,plain,
! [SV195: x_a,SV25: x_a > $o] :
( ( ( ~ ( SV25 @ SV195 ) )
= $false )
| ( ( SV25 @ SV195 )
= $false )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2493]) ).
thf(2583,plain,
! [SV25: x_a > $o,SV195: x_a] :
( ( ( ~ ( bot_bot_a_o @ SV195 ) )
= $false )
| ( ( SV25 @ SV195 )
= $false )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2493]) ).
thf(2584,plain,
! [SV195: x_a,SV25: x_a > $o] :
( ( ( ~ ( SV25 @ SV195 ) )
= $false )
| ( ( bot_bot_a_o @ SV195 )
= $false )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2494]) ).
thf(2585,plain,
! [SV25: x_a > $o,SV195: x_a] :
( ( ( ~ ( bot_bot_a_o @ SV195 ) )
= $false )
| ( ( bot_bot_a_o @ SV195 )
= $false )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2494]) ).
thf(2586,plain,
! [SV25: x_a > $o] :
( ( ( bot_bot_a_o @ ( sK13_SV186 @ SV25 ) )
= $false )
| ( ( SV25 @ ( sK13_SV186 @ SV25 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2495]) ).
thf(2587,plain,
! [SV28: x_a > $o,SV138: x_a > $o,SV87: x_a > $o] :
( ( ( SV87 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) )
= $false )
| ( ( ~ ( SV28 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV28 @ SV138 )
= $true )
| ( ( ord_less_eq_a_o @ SV87 @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2497]) ).
thf(2588,plain,
! [SV140: x_a,SV166: x_a,SV89: x_a,SV30: x_a] :
( ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
| ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $true )
| ( ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2498]) ).
thf(2589,plain,
! [SV140: x_a,SV166: x_a,SV89: x_a,SV30: x_a] :
( ( ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
| ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $true )
| ( ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2499]) ).
thf(2590,plain,
! [SV166: x_a,SV89: x_a,SV140: x_a,SV30: x_a] :
( ( ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
= $false )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2500]) ).
thf(2591,plain,
! [SV89: x_a,SV166: x_a,SV140: x_a,SV30: x_a] :
( ( ( SV30 = SV140 )
= $true )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2501]) ).
thf(2592,plain,
! [SV140: x_a,SV30: x_a,SV166: x_a,SV89: x_a] :
( ( ( SV89 = SV166 )
= $true )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2502]) ).
thf(2593,plain,
! [SV140: x_a,SV30: x_a,SV166: x_a,SV89: x_a] :
( ( ( SV89 = SV166 )
= $false )
| ( ( SV30 = SV140 )
= $false )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2503]) ).
thf(2594,plain,
! [SV166: x_a,SV30: x_a,SV140: x_a,SV89: x_a] :
( ( ( SV89 = SV140 )
= $false )
| ( ( SV30 = SV166 )
= $false )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2504]) ).
thf(2595,plain,
! [SV33: x_a > $o,SV198: x_a,SV92: x_a > $o] :
( ( ( ~ ( SV92 @ SV198 ) )
= $false )
| ( ( SV92 @ SV198 )
= $false )
| ( ( ord_less_eq_a_o @ SV92 @ SV33 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2505]) ).
thf(2596,plain,
! [SV92: x_a > $o,SV198: x_a,SV33: x_a > $o] :
( ( ( ~ ( SV33 @ SV198 ) )
= $false )
| ( ( SV92 @ SV198 )
= $false )
| ( ( ord_less_eq_a_o @ SV92 @ SV33 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2505]) ).
thf(2597,plain,
! [SV33: x_a > $o,SV198: x_a,SV92: x_a > $o] :
( ( ( ~ ( SV92 @ SV198 ) )
= $false )
| ( ( SV33 @ SV198 )
= $false )
| ( ( ord_less_eq_a_o @ SV92 @ SV33 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2506]) ).
thf(2598,plain,
! [SV92: x_a > $o,SV198: x_a,SV33: x_a > $o] :
( ( ( ~ ( SV33 @ SV198 ) )
= $false )
| ( ( SV33 @ SV198 )
= $false )
| ( ( ord_less_eq_a_o @ SV92 @ SV33 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2506]) ).
thf(2599,plain,
! [SV40: x_a > $o,SV99: x_a > $o,SV147: x_a > $o] :
( ( ( SV147 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) )
= $false )
| ( ( ~ ( SV40 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV99 @ SV40 )
= $true )
| ( ( ord_less_eq_a_o @ SV99 @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2508]) ).
thf(2600,plain,
! [SV102: x_a,SV188: x_a,SV43: x_a > $o] :
( ( ( SV43 @ SV188 )
= $true )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2513]) ).
thf(2601,plain,
! [SV102: x_a,SV43: x_a > $o,SV188: x_a] :
( ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2514]) ).
thf(2602,plain,
! [SV102: x_a,SV188: x_a,SV43: x_a > $o] :
( ( ( SV43 @ SV188 )
= $true )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2515]) ).
thf(2603,plain,
! [SV102: x_a,SV43: x_a > $o,SV188: x_a] :
( ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2516]) ).
thf(2604,plain,
! [SV188: x_a,SV102: x_a,SV208: x_a,SV43: x_a > $o] :
( ( ( SV43 @ SV208 )
= $false )
| ( ( ~ ( ~ ( SV43 @ SV208 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV208 ) ) )
= $true )
| ( ( ( SV43 @ SV188 )
= ( bot_bot_a_o @ SV188 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2517]) ).
thf(2605,plain,
! [SV188: x_a,SV43: x_a > $o,SV208: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV208 )
= $false )
| ( ( ~ ( ~ ( SV43 @ SV208 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV208 ) ) )
= $true )
| ( ( ( SV43 @ SV188 )
= ( bot_bot_a_o @ SV188 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2517]) ).
thf(2606,plain,
! [SV102: x_a,SV200: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV200 ) )
= $false )
| ( ( SV43 @ SV200 )
= $false )
| ( ( SV43 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2518]) ).
thf(2607,plain,
! [SV43: x_a > $o,SV200: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV200 ) )
= $false )
| ( ( SV43 @ SV200 )
= $false )
| ( ( SV43 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2518]) ).
thf(2608,plain,
! [SV102: x_a,SV200: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV200 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV200 )
= $false )
| ( ( SV43 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2519]) ).
thf(2609,plain,
! [SV43: x_a > $o,SV200: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV200 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV200 )
= $false )
| ( ( SV43 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2519]) ).
thf(2610,plain,
! [SV206: x_a,SV103: x_a > $o,SV44: x_a > $o,SV149: x_a > $o] :
( ( ( ~ ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 )
| ~ ( SV103 @ SV206 ) )
= $false )
| ( ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 )
= $false )
| ( ( ord_less_eq_a_o @ SV149 @ SV44 )
= $false )
| ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2520]) ).
thf(2611,plain,
! [SV206: x_a,SV103: x_a > $o,SV44: x_a > $o,SV149: x_a > $o] :
( ( ( ~ ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 )
| ~ ( SV103 @ SV206 ) )
= $false )
| ( ( SV103 @ SV206 )
= $false )
| ( ( ord_less_eq_a_o @ SV149 @ SV44 )
= $false )
| ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2521]) ).
thf(2612,plain,
! [SV109: x_a > $o,SV151: x_a > $o,SV50: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV50 @ SV151 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV50 @ SV109 )
= $true )
| ( ( SV109 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
= $false )
| ( ( SV151 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2523]) ).
thf(2613,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) )
= $false )
| ( ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $true )
| ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2524]) ).
thf(2614,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $false )
| ( ( ~ ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2525]) ).
thf(2615,plain,
! [SV114: x_a > $o,SV216: x_a,SV55: x_a > $o] :
( ( ( ~ ( ( SV55 @ SV216 )
| ( SV114 @ SV216 ) )
| ~ ( ~ ( SV55 @ SV216 )
| ~ ( SV114 @ SV216 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $false )
| ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2528]) ).
thf(2616,plain,
! [SV114: x_a > $o,SV216: x_a,SV55: x_a > $o] :
( ( ( ( SV55 @ SV216 )
= ( SV114 @ SV216 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $false )
| ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2528]) ).
thf(2617,plain,
! [SV190: x_a,SV154: pname > $o,SV116: pname,SV57: pname > x_a] :
( ( ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 )
= $true )
| ( ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 )
= $false )
| ( ( member_pname @ SV116 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2529]) ).
thf(2618,plain,
! [SV116: pname,SV190: x_a,SV154: pname > $o,SV57: pname > x_a] :
( ( ( image_pname_a @ SV57 @ SV154 @ SV190 )
= $true )
| ( ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 )
= $false )
| ( ( member_pname @ SV116 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2530]) ).
thf(2619,plain,
! [SV190: x_a,SV154: pname > $o,SV116: pname,SV57: pname > x_a] :
( ( ( insert_a @ ( SV57 @ SV116 ) @ ( image_pname_a @ SV57 @ SV154 ) @ SV190 )
= $true )
| ( ( image_pname_a @ SV57 @ SV154 @ SV190 )
= $false )
| ( ( member_pname @ SV116 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2531]) ).
thf(2620,plain,
! [SV116: pname,SV190: x_a,SV154: pname > $o,SV57: pname > x_a] :
( ( ( image_pname_a @ SV57 @ SV154 @ SV190 )
= $true )
| ( ( image_pname_a @ SV57 @ SV154 @ SV190 )
= $false )
| ( ( member_pname @ SV116 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2532]) ).
thf(2621,plain,
! [SV59: x_a > $o,SV212: x_a,SV118: x_a > $o] :
( ( ( ( SV118 @ SV212 )
| ( SV59 @ SV212 ) )
= $false )
| ( ( ~ ( ~ ( SV118 @ SV212 )
| ~ ( SV59 @ SV212 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2533]) ).
thf(2622,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( ( SV118 @ ( sK21_SV210 @ SV59 @ SV118 ) )
| ( SV59 @ ( sK21_SV210 @ SV59 @ SV118 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2534]) ).
thf(2623,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( ~ ( SV118 @ ( sK21_SV210 @ SV59 @ SV118 ) )
| ~ ( SV59 @ ( sK21_SV210 @ SV59 @ SV118 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2535]) ).
thf(2624,plain,
! [SV120: x_a > $o,SV203: x_a,SV61: x_a > $o] :
( ( ( ~ ( SV61 @ SV203 ) )
= $false )
| ( ( SV61 @ SV203 )
= $false )
| ( ( ord_less_eq_a_o @ SV120 @ SV61 )
= $false )
| ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2536]) ).
thf(2625,plain,
! [SV61: x_a > $o,SV203: x_a,SV120: x_a > $o] :
( ( ( ~ ( SV120 @ SV203 ) )
= $false )
| ( ( SV61 @ SV203 )
= $false )
| ( ( ord_less_eq_a_o @ SV120 @ SV61 )
= $false )
| ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2536]) ).
thf(2626,plain,
! [SV120: x_a > $o,SV203: x_a,SV61: x_a > $o] :
( ( ( ~ ( SV61 @ SV203 ) )
= $false )
| ( ( SV120 @ SV203 )
= $false )
| ( ( ord_less_eq_a_o @ SV120 @ SV61 )
= $false )
| ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2537]) ).
thf(2627,plain,
! [SV61: x_a > $o,SV203: x_a,SV120: x_a > $o] :
( ( ( ~ ( SV120 @ SV203 ) )
= $false )
| ( ( SV120 @ SV203 )
= $false )
| ( ( ord_less_eq_a_o @ SV120 @ SV61 )
= $false )
| ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2537]) ).
thf(2628,plain,
! [SV157: pname > $o,SV63: x_a > $o,SV122: pname > x_a] :
( ( ( ord_less_eq_pname_o @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV157 )
= $true )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2538]) ).
thf(2629,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV63: x_a > $o] :
( ( ( SV63
= ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2539]) ).
thf(2630,plain,
! [SV122: pname > x_a,SV63: x_a > $o,SV157: pname > $o,SV211: pname > $o] :
( ( ( ord_less_eq_pname_o @ SV211 @ SV157 )
= $false )
| ( ( SV63
!= ( image_pname_a @ SV122 @ SV211 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2540]) ).
thf(2631,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV65 @ SV124 ) )
= $false )
| ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $false )
| ( ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2543]) ).
thf(2632,plain,
! [SV65: x_a > $o,SV124: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV124 @ SV65 ) )
= $false )
| ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $false )
| ( ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2543]) ).
thf(2633,plain,
! [SV125: x_a > $o,SV204: x_a,SV66: x_a > $o] :
( ( ( ~ ( SV66 @ SV204 ) )
= $false )
| ( ( SV66 @ SV204 )
= $false )
| ( ( ord_less_eq_a_o @ SV125 @ SV66 )
= $false )
| ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2544]) ).
thf(2634,plain,
! [SV66: x_a > $o,SV204: x_a,SV125: x_a > $o] :
( ( ( ~ ( SV125 @ SV204 ) )
= $false )
| ( ( SV66 @ SV204 )
= $false )
| ( ( ord_less_eq_a_o @ SV125 @ SV66 )
= $false )
| ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2544]) ).
thf(2635,plain,
! [SV125: x_a > $o,SV204: x_a,SV66: x_a > $o] :
( ( ( ~ ( SV66 @ SV204 ) )
= $false )
| ( ( SV125 @ SV204 )
= $false )
| ( ( ord_less_eq_a_o @ SV125 @ SV66 )
= $false )
| ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2545]) ).
thf(2636,plain,
! [SV66: x_a > $o,SV204: x_a,SV125: x_a > $o] :
( ( ( ~ ( SV125 @ SV204 ) )
= $false )
| ( ( SV125 @ SV204 )
= $false )
| ( ( ord_less_eq_a_o @ SV125 @ SV66 )
= $false )
| ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2545]) ).
thf(2637,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( SV11 = $false )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2546]) ).
thf(2638,plain,
! [SV11: $o] :
( ( ( ~ $false ) = $false )
| ( SV11 = $false )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2546]) ).
thf(2639,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( $false = $false )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2547]) ).
thf(2640,plain,
! [SV11: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2547]) ).
thf(2641,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( SV11 = $false )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2548]) ).
thf(2642,plain,
! [SV11: $o] :
( ( ( ~ $false ) = $false )
| ( SV11 = $false )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2548]) ).
thf(2643,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( $false = $false )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2549]) ).
thf(2644,plain,
! [SV11: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2549]) ).
thf(2645,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( SV11 = $false )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2550]) ).
thf(2646,plain,
! [SV11: $o] :
( ( ( ~ $false ) = $false )
| ( SV11 = $false )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2550]) ).
thf(2647,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2551]) ).
thf(2648,plain,
! [SV11: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2551]) ).
thf(2649,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( SV11 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2552]) ).
thf(2650,plain,
! [SV11: $o] :
( ( ( ~ $false ) = $false )
| ( SV11 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2552]) ).
thf(2651,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2553]) ).
thf(2652,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2553]) ).
thf(2653,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2554]) ).
thf(2654,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2554]) ).
thf(2655,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2555]) ).
thf(2656,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2555]) ).
thf(2657,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2556]) ).
thf(2658,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2556]) ).
thf(2659,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2557]) ).
thf(2660,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2557]) ).
thf(2661,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2558]) ).
thf(2662,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2558]) ).
thf(2663,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2559]) ).
thf(2664,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2559]) ).
thf(2665,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2560]) ).
thf(2666,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2560]) ).
thf(2667,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2561]) ).
thf(2668,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2561]) ).
thf(2669,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2562]) ).
thf(2670,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2562]) ).
thf(2671,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2563]) ).
thf(2672,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2563]) ).
thf(2673,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2564]) ).
thf(2674,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2564]) ).
thf(2675,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2565]) ).
thf(2676,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2565]) ).
thf(2677,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2566]) ).
thf(2678,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2566]) ).
thf(2679,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2567]) ).
thf(2680,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2567]) ).
thf(2681,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2568]) ).
thf(2682,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2568]) ).
thf(2683,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2569]) ).
thf(2684,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2569]) ).
thf(2685,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ! [SV217: x_a] :
( ( insert_a @ SV76 @ SV131 @ SV217 )
= ( insert_a @ SV76 @ SV14 @ SV217 ) ) )
= $false )
| ( ( SV131 = SV14 )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2570]) ).
thf(2686,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $false )
| ( ( SV131 = SV14 )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2570]) ).
thf(2687,plain,
! [SV76: x_a,SV14: x_a > $o,SV131: x_a > $o] :
( ( ( ! [SV218: x_a] :
( ( SV131 @ SV218 )
= ( SV14 @ SV218 ) ) )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2571]) ).
thf(2688,plain,
! [SV76: x_a,SV14: x_a > $o,SV131: x_a > $o] :
( ( ( SV131 = SV14 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2571]) ).
thf(2689,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 ) )
= $false )
| ( ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $true )
| ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2572]) ).
thf(2690,plain,
! [SV17: x_a > $o,SV79: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) )
= $false )
| ( ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $true )
| ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2572]) ).
thf(2691,plain,
! [SV17: x_a > $o,SV79: x_a > $o] :
( ( ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $false )
| ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2573]) ).
thf(2692,plain,
! [SV79: x_a > $o,SV215: x_a,SV17: x_a > $o] :
( ( ( ~ ( ( SV17 @ SV215 )
| ( SV79 @ SV215 ) ) )
= $true )
| ( ( ~ ( ~ ( SV17 @ SV215 )
| ~ ( SV79 @ SV215 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2574]) ).
thf(2693,plain,
! [SV194: x_a,SV22: x_a > $o] :
( ( ( SV22 @ SV194 )
= $true )
| ( ( SV22 @ SV194 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2576]) ).
thf(2694,plain,
! [SV22: x_a > $o,SV194: x_a] :
( ( ( bot_bot_a_o @ SV194 )
= $true )
| ( ( SV22 @ SV194 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2577]) ).
thf(2695,plain,
! [SV194: x_a,SV22: x_a > $o] :
( ( ( SV22 @ SV194 )
= $true )
| ( ( bot_bot_a_o @ SV194 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2578]) ).
thf(2696,plain,
! [SV22: x_a > $o,SV194: x_a] :
( ( ( bot_bot_a_o @ SV194 )
= $true )
| ( ( bot_bot_a_o @ SV194 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2579]) ).
thf(2697,plain,
! [SV83: x_a > $o,SV23: x_a > $o,SV134: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV134 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV83 @ SV23 )
= $true )
| ( ( SV83 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
= $false )
| ( ( SV134 @ ( sK10_SV178 @ SV23 @ SV134 @ SV83 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2581]) ).
thf(2698,plain,
! [SV195: x_a,SV25: x_a > $o] :
( ( ( SV25 @ SV195 )
= $true )
| ( ( SV25 @ SV195 )
= $false )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2582]) ).
thf(2699,plain,
! [SV25: x_a > $o,SV195: x_a] :
( ( ( bot_bot_a_o @ SV195 )
= $true )
| ( ( SV25 @ SV195 )
= $false )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2583]) ).
thf(2700,plain,
! [SV195: x_a,SV25: x_a > $o] :
( ( ( SV25 @ SV195 )
= $true )
| ( ( bot_bot_a_o @ SV195 )
= $false )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2584]) ).
thf(2701,plain,
! [SV25: x_a > $o,SV195: x_a] :
( ( ( bot_bot_a_o @ SV195 )
= $true )
| ( ( bot_bot_a_o @ SV195 )
= $false )
| ( ( ord_less_eq_a_o @ SV25 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2585]) ).
thf(2702,plain,
! [SV87: x_a > $o,SV138: x_a > $o,SV28: x_a > $o] :
( ( ( SV28 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) )
= $false )
| ( ( SV87 @ ( sK16_SV196 @ SV138 @ SV28 @ SV87 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV28 @ SV138 )
= $true )
| ( ( ord_less_eq_a_o @ SV87 @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2587]) ).
thf(2703,plain,
! [SV140: x_a,SV166: x_a,SV89: x_a,SV30: x_a] :
( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true )
| ( ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2588]) ).
thf(2704,plain,
! [SV140: x_a,SV166: x_a,SV89: x_a,SV30: x_a] :
( ( ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $true )
| ( ( ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $true )
| ( ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2589]) ).
thf(2705,plain,
! [SV89: x_a,SV166: x_a,SV140: x_a,SV30: x_a] :
( ( ( SV30 != SV140 )
= $false )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2590]) ).
thf(2706,plain,
! [SV140: x_a,SV30: x_a,SV166: x_a,SV89: x_a] :
( ( ( SV89 != SV166 )
= $false )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2590]) ).
thf(2707,plain,
! [SV140: x_a,SV89: x_a,SV166: x_a,SV30: x_a] :
( ( ( ( SV30 != SV166 )
| ( SV89 != SV140 ) )
= $false )
| ( ( SV30 = SV140 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2591]) ).
thf(2708,plain,
! [SV140: x_a,SV89: x_a,SV166: x_a,SV30: x_a] :
( ( ( ( SV30 != SV166 )
| ( SV89 != SV140 ) )
= $false )
| ( ( SV89 = SV166 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2592]) ).
thf(2709,plain,
! [SV166: x_a,SV140: x_a,SV89: x_a,SV30: x_a] :
( ( ( ! [SV219: x_a] :
( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV219 )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV219 ) ) )
= $true )
| ( ( SV30 = SV140 )
= $false )
| ( ( SV89 = SV166 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2593]) ).
thf(2710,plain,
! [SV166: x_a,SV140: x_a,SV89: x_a,SV30: x_a] :
( ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $true )
| ( ( SV30 = SV140 )
= $false )
| ( ( SV89 = SV166 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2593]) ).
thf(2711,plain,
! [SV166: x_a,SV140: x_a,SV89: x_a,SV30: x_a] :
( ( ( ! [SV220: x_a] :
( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV220 )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV220 ) ) )
= $true )
| ( ( SV30 = SV166 )
= $false )
| ( ( SV89 = SV140 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2594]) ).
thf(2712,plain,
! [SV166: x_a,SV140: x_a,SV89: x_a,SV30: x_a] :
( ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $true )
| ( ( SV30 = SV166 )
= $false )
| ( ( SV89 = SV140 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2594]) ).
thf(2713,plain,
! [SV33: x_a > $o,SV198: x_a,SV92: x_a > $o] :
( ( ( SV92 @ SV198 )
= $true )
| ( ( SV92 @ SV198 )
= $false )
| ( ( ord_less_eq_a_o @ SV92 @ SV33 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2595]) ).
thf(2714,plain,
! [SV92: x_a > $o,SV198: x_a,SV33: x_a > $o] :
( ( ( SV33 @ SV198 )
= $true )
| ( ( SV92 @ SV198 )
= $false )
| ( ( ord_less_eq_a_o @ SV92 @ SV33 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2596]) ).
thf(2715,plain,
! [SV33: x_a > $o,SV198: x_a,SV92: x_a > $o] :
( ( ( SV92 @ SV198 )
= $true )
| ( ( SV33 @ SV198 )
= $false )
| ( ( ord_less_eq_a_o @ SV92 @ SV33 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2597]) ).
thf(2716,plain,
! [SV92: x_a > $o,SV198: x_a,SV33: x_a > $o] :
( ( ( SV33 @ SV198 )
= $true )
| ( ( SV33 @ SV198 )
= $false )
| ( ( ord_less_eq_a_o @ SV92 @ SV33 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ SV92 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2598]) ).
thf(2717,plain,
! [SV147: x_a > $o,SV99: x_a > $o,SV40: x_a > $o] :
( ( ( SV40 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) )
= $false )
| ( ( SV147 @ ( sK17_SV199 @ SV99 @ SV40 @ SV147 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV99 @ SV40 )
= $true )
| ( ( ord_less_eq_a_o @ SV99 @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2599]) ).
thf(2718,plain,
! [SV188: x_a,SV102: x_a,SV43: x_a > $o] :
( ( ( ! [SV221: x_a] :
( ( SV43 @ SV221 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV221 ) ) )
= $true )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2600]) ).
thf(2719,plain,
! [SV188: x_a,SV102: x_a,SV43: x_a > $o] :
( ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2600]) ).
thf(2720,plain,
! [SV188: x_a,SV102: x_a,SV43: x_a > $o] :
( ( ( ! [SV222: x_a] :
( ( SV43 @ SV222 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV222 ) ) )
= $true )
| ( ( SV43 @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2601]) ).
thf(2721,plain,
! [SV188: x_a,SV102: x_a,SV43: x_a > $o] :
( ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( SV43 @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2601]) ).
thf(2722,plain,
! [SV188: x_a,SV102: x_a,SV43: x_a > $o] :
( ( ( ! [SV223: x_a] :
( ( SV43 @ SV223 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV223 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2602]) ).
thf(2723,plain,
! [SV188: x_a,SV102: x_a,SV43: x_a > $o] :
( ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2602]) ).
thf(2724,plain,
! [SV188: x_a,SV102: x_a,SV43: x_a > $o] :
( ( ( ! [SV224: x_a] :
( ( SV43 @ SV224 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV224 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2603]) ).
thf(2725,plain,
! [SV188: x_a,SV102: x_a,SV43: x_a > $o] :
( ( ( SV43
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2603]) ).
thf(2726,plain,
! [SV188: x_a,SV102: x_a,SV208: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV208 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV208 ) )
= $false )
| ( ( SV43 @ SV208 )
= $false )
| ( ( ( SV43 @ SV188 )
= ( bot_bot_a_o @ SV188 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2604]) ).
thf(2727,plain,
! [SV188: x_a,SV102: x_a,SV208: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV208 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV208 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV208 )
= $false )
| ( ( ( SV43 @ SV188 )
= ( bot_bot_a_o @ SV188 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2605]) ).
thf(2728,plain,
! [SV102: x_a,SV200: x_a,SV43: x_a > $o] :
( ( ( SV43 @ SV200 )
= $true )
| ( ( SV43 @ SV200 )
= $false )
| ( ( SV43 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2606]) ).
thf(2729,plain,
! [SV43: x_a > $o,SV200: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV200 )
= $true )
| ( ( SV43 @ SV200 )
= $false )
| ( ( SV43 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2607]) ).
thf(2730,plain,
! [SV102: x_a,SV200: x_a,SV43: x_a > $o] :
( ( ( SV43 @ SV200 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV200 )
= $false )
| ( ( SV43 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2608]) ).
thf(2731,plain,
! [SV43: x_a > $o,SV200: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV200 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV200 )
= $false )
| ( ( SV43 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2609]) ).
thf(2732,plain,
! [SV206: x_a,SV103: x_a > $o,SV44: x_a > $o,SV149: x_a > $o] :
( ( ( ~ ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 ) )
= $false )
| ( ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 )
= $false )
| ( ( ord_less_eq_a_o @ SV149 @ SV44 )
= $false )
| ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2610]) ).
thf(2733,plain,
! [SV44: x_a > $o,SV149: x_a > $o,SV206: x_a,SV103: x_a > $o] :
( ( ( ~ ( SV103 @ SV206 ) )
= $false )
| ( ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 )
= $false )
| ( ( ord_less_eq_a_o @ SV149 @ SV44 )
= $false )
| ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2610]) ).
thf(2734,plain,
! [SV206: x_a,SV103: x_a > $o,SV44: x_a > $o,SV149: x_a > $o] :
( ( ( ~ ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 ) )
= $false )
| ( ( SV103 @ SV206 )
= $false )
| ( ( ord_less_eq_a_o @ SV149 @ SV44 )
= $false )
| ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2611]) ).
thf(2735,plain,
! [SV44: x_a > $o,SV149: x_a > $o,SV206: x_a,SV103: x_a > $o] :
( ( ( ~ ( SV103 @ SV206 ) )
= $false )
| ( ( SV103 @ SV206 )
= $false )
| ( ( ord_less_eq_a_o @ SV149 @ SV44 )
= $false )
| ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2611]) ).
thf(2736,plain,
! [SV109: x_a > $o,SV151: x_a > $o,SV50: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV50 @ SV151 )
= $false )
| ( ( ord_less_eq_a_o @ SV50 @ SV109 )
= $true )
| ( ( SV109 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
= $false )
| ( ( SV151 @ ( sK11_SV181 @ SV50 @ SV151 @ SV109 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2612]) ).
thf(2737,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 ) )
= $false )
| ( ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $true )
| ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2613]) ).
thf(2738,plain,
! [SV55: x_a > $o,SV114: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) )
= $false )
| ( ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $true )
| ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2613]) ).
thf(2739,plain,
! [SV55: x_a > $o,SV114: x_a > $o] :
( ( ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $false )
| ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2614]) ).
thf(2740,plain,
! [SV114: x_a > $o,SV216: x_a,SV55: x_a > $o] :
( ( ( ~ ( ( SV55 @ SV216 )
| ( SV114 @ SV216 ) ) )
= $true )
| ( ( ~ ( ~ ( SV55 @ SV216 )
| ~ ( SV114 @ SV216 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $false )
| ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2615]) ).
thf(2741,plain,
! [SV59: x_a > $o,SV212: x_a,SV118: x_a > $o] :
( ( ( SV118 @ SV212 )
= $false )
| ( ( ~ ( ~ ( SV118 @ SV212 )
| ~ ( SV59 @ SV212 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2621]) ).
thf(2742,plain,
! [SV118: x_a > $o,SV212: x_a,SV59: x_a > $o] :
( ( ( SV59 @ SV212 )
= $false )
| ( ( ~ ( ~ ( SV118 @ SV212 )
| ~ ( SV59 @ SV212 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2621]) ).
thf(2743,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( SV118 @ ( sK21_SV210 @ SV59 @ SV118 ) )
= $true )
| ( ( SV59 @ ( sK21_SV210 @ SV59 @ SV118 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2622]) ).
thf(2744,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( ~ ( SV118 @ ( sK21_SV210 @ SV59 @ SV118 ) ) )
= $true )
| ( ( ~ ( SV59 @ ( sK21_SV210 @ SV59 @ SV118 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2623]) ).
thf(2745,plain,
! [SV120: x_a > $o,SV203: x_a,SV61: x_a > $o] :
( ( ( SV61 @ SV203 )
= $true )
| ( ( SV61 @ SV203 )
= $false )
| ( ( ord_less_eq_a_o @ SV120 @ SV61 )
= $false )
| ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2624]) ).
thf(2746,plain,
! [SV61: x_a > $o,SV203: x_a,SV120: x_a > $o] :
( ( ( SV120 @ SV203 )
= $true )
| ( ( SV61 @ SV203 )
= $false )
| ( ( ord_less_eq_a_o @ SV120 @ SV61 )
= $false )
| ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2625]) ).
thf(2747,plain,
! [SV120: x_a > $o,SV203: x_a,SV61: x_a > $o] :
( ( ( SV61 @ SV203 )
= $true )
| ( ( SV120 @ SV203 )
= $false )
| ( ( ord_less_eq_a_o @ SV120 @ SV61 )
= $false )
| ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2626]) ).
thf(2748,plain,
! [SV61: x_a > $o,SV203: x_a,SV120: x_a > $o] :
( ( ( SV120 @ SV203 )
= $true )
| ( ( SV120 @ SV203 )
= $false )
| ( ( ord_less_eq_a_o @ SV120 @ SV61 )
= $false )
| ( ( ord_less_eq_a_o @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2627]) ).
thf(2749,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV63: x_a > $o] :
( ( ( ! [SV225: x_a] :
( ( SV63 @ SV225 )
= ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV225 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2629]) ).
thf(2750,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV63: x_a > $o] :
( ( ( SV63
= ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2629]) ).
thf(2751,plain,
! [SV157: pname > $o,SV211: pname > $o,SV122: pname > x_a,SV63: x_a > $o] :
( ( ( SV63
= ( image_pname_a @ SV122 @ SV211 ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV211 @ SV157 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2630]) ).
thf(2752,plain,
! [SV124: x_a > $o,SV65: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV65 @ SV124 )
= $true )
| ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $false )
| ( ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2631]) ).
thf(2753,plain,
! [SV65: x_a > $o,SV124: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV124 @ SV65 )
= $true )
| ( ( SV65 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $false )
| ( ( SV124 @ ( sK9_SV177 @ SV124 @ SV65 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2632]) ).
thf(2754,plain,
! [SV125: x_a > $o,SV204: x_a,SV66: x_a > $o] :
( ( ( SV66 @ SV204 )
= $true )
| ( ( SV66 @ SV204 )
= $false )
| ( ( ord_less_eq_a_o @ SV125 @ SV66 )
= $false )
| ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2633]) ).
thf(2755,plain,
! [SV66: x_a > $o,SV204: x_a,SV125: x_a > $o] :
( ( ( SV125 @ SV204 )
= $true )
| ( ( SV66 @ SV204 )
= $false )
| ( ( ord_less_eq_a_o @ SV125 @ SV66 )
= $false )
| ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2634]) ).
thf(2756,plain,
! [SV125: x_a > $o,SV204: x_a,SV66: x_a > $o] :
( ( ( SV66 @ SV204 )
= $true )
| ( ( SV125 @ SV204 )
= $false )
| ( ( ord_less_eq_a_o @ SV125 @ SV66 )
= $false )
| ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2635]) ).
thf(2757,plain,
! [SV66: x_a > $o,SV204: x_a,SV125: x_a > $o] :
( ( ( SV125 @ SV204 )
= $true )
| ( ( SV125 @ SV204 )
= $false )
| ( ( ord_less_eq_a_o @ SV125 @ SV66 )
= $false )
| ( ( ord_less_eq_a_o @ SV66 @ SV125 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2636]) ).
thf(2758,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( SV11 = $false )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2637]) ).
thf(2759,plain,
! [SV11: $o] :
( ( $false = $true )
| ( SV11 = $false )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2638]) ).
thf(2760,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( $false = $false )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2639]) ).
thf(2761,plain,
! [SV11: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2640]) ).
thf(2762,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( SV11 = $false )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2641]) ).
thf(2763,plain,
! [SV11: $o] :
( ( $false = $true )
| ( SV11 = $false )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2642]) ).
thf(2764,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( $false = $false )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2643]) ).
thf(2765,plain,
! [SV11: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2644]) ).
thf(2766,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( SV11 = $false )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2645]) ).
thf(2767,plain,
! [SV11: $o] :
( ( $false = $true )
| ( SV11 = $false )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2646]) ).
thf(2768,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2647]) ).
thf(2769,plain,
! [SV11: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2648]) ).
thf(2770,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( SV11 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2649]) ).
thf(2771,plain,
! [SV11: $o] :
( ( $false = $true )
| ( SV11 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2650]) ).
thf(2772,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2651]) ).
thf(2773,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2652]) ).
thf(2774,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2653]) ).
thf(2775,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2654]) ).
thf(2776,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2655]) ).
thf(2777,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2656]) ).
thf(2778,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2657]) ).
thf(2779,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2658]) ).
thf(2780,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2659]) ).
thf(2781,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2660]) ).
thf(2782,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2661]) ).
thf(2783,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2662]) ).
thf(2784,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2663]) ).
thf(2785,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2664]) ).
thf(2786,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2665]) ).
thf(2787,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2666]) ).
thf(2788,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2667]) ).
thf(2789,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2668]) ).
thf(2790,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2669]) ).
thf(2791,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2670]) ).
thf(2792,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2671]) ).
thf(2793,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2672]) ).
thf(2794,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2673]) ).
thf(2795,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2674]) ).
thf(2796,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2675]) ).
thf(2797,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2676]) ).
thf(2798,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2677]) ).
thf(2799,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2678]) ).
thf(2800,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2679]) ).
thf(2801,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2680]) ).
thf(2802,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2681]) ).
thf(2803,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2682]) ).
thf(2804,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2683]) ).
thf(2805,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2684]) ).
thf(2806,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $false )
| ( ( SV131 = SV14 )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2685]) ).
thf(2807,plain,
! [SV76: x_a,SV14: x_a > $o,SV131: x_a > $o] :
( ( ( ! [SV226: x_a] :
( ( SV131 @ SV226 )
= ( SV14 @ SV226 ) ) )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2686]) ).
thf(2808,plain,
! [SV76: x_a,SV14: x_a > $o,SV131: x_a > $o] :
( ( ( SV131 = SV14 )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2686]) ).
thf(2809,plain,
! [SV14: x_a > $o,SV76: x_a,SV131: x_a > $o] :
( ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2687]) ).
thf(2810,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ! [SV227: x_a] :
( ( insert_a @ SV76 @ SV131 @ SV227 )
= ( insert_a @ SV76 @ SV14 @ SV227 ) ) )
= $true )
| ( ( SV131 = SV14 )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2688]) ).
thf(2811,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $true )
| ( ( SV131 = SV14 )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2688]) ).
thf(2812,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $true )
| ( ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $true )
| ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2689]) ).
thf(2813,plain,
! [SV17: x_a > $o,SV79: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $true )
| ( ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $true )
| ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2690]) ).
thf(2814,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) )
= $false )
| ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $false )
| ( ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2691]) ).
thf(2815,plain,
! [SV79: x_a > $o,SV215: x_a,SV17: x_a > $o] :
( ( ( ( SV17 @ SV215 )
| ( SV79 @ SV215 ) )
= $false )
| ( ( ~ ( ~ ( SV17 @ SV215 )
| ~ ( SV79 @ SV215 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2692]) ).
thf(2816,plain,
! [SV166: x_a,SV89: x_a,SV140: x_a,SV30: x_a] :
( ( ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) ) )
= $true )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2703]) ).
thf(2817,plain,
! [SV140: x_a,SV166: x_a,SV89: x_a,SV30: x_a] :
( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false )
| ( ( ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $true )
| ( ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2704]) ).
thf(2818,plain,
! [SV89: x_a,SV166: x_a,SV140: x_a,SV30: x_a] :
( ( ( SV30 = SV140 )
= $true )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2705]) ).
thf(2819,plain,
! [SV140: x_a,SV30: x_a,SV166: x_a,SV89: x_a] :
( ( ( SV89 = SV166 )
= $true )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2706]) ).
thf(2820,plain,
! [SV89: x_a,SV140: x_a,SV166: x_a,SV30: x_a] :
( ( ( SV30 != SV166 )
= $false )
| ( ( SV30 = SV140 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2707]) ).
thf(2821,plain,
! [SV166: x_a,SV30: x_a,SV140: x_a,SV89: x_a] :
( ( ( SV89 != SV140 )
= $false )
| ( ( SV30 = SV140 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2707]) ).
thf(2822,plain,
! [SV140: x_a,SV89: x_a,SV166: x_a,SV30: x_a] :
( ( ( SV30 != SV166 )
= $false )
| ( ( SV89 = SV166 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2708]) ).
thf(2823,plain,
! [SV30: x_a,SV166: x_a,SV140: x_a,SV89: x_a] :
( ( ( SV89 != SV140 )
= $false )
| ( ( SV89 = SV166 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2708]) ).
thf(2824,plain,
! [SV166: x_a,SV140: x_a,SV228: x_a,SV89: x_a,SV30: x_a] :
( ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 ) )
= $true )
| ( ( SV30 = SV140 )
= $false )
| ( ( SV89 = SV166 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2709]) ).
thf(2825,plain,
! [SV166: x_a,SV140: x_a,SV229: x_a,SV89: x_a,SV30: x_a] :
( ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 ) )
= $true )
| ( ( SV30 = SV166 )
= $false )
| ( ( SV89 = SV140 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2711]) ).
thf(2826,plain,
! [SV188: x_a,SV102: x_a,SV230: x_a,SV43: x_a > $o] :
( ( ( ( SV43 @ SV230 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV230 ) )
= $true )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2718]) ).
thf(2827,plain,
! [SV188: x_a,SV102: x_a,SV231: x_a,SV43: x_a > $o] :
( ( ( ( SV43 @ SV231 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV231 ) )
= $true )
| ( ( SV43 @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2720]) ).
thf(2828,plain,
! [SV188: x_a,SV102: x_a,SV232: x_a,SV43: x_a > $o] :
( ( ( ( SV43 @ SV232 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV232 ) )
= $true )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2722]) ).
thf(2829,plain,
! [SV188: x_a,SV102: x_a,SV233: x_a,SV43: x_a > $o] :
( ( ( ( SV43 @ SV233 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV233 ) )
= $true )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2724]) ).
thf(2830,plain,
! [SV102: x_a,SV188: x_a,SV208: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV208 ) )
= $false )
| ( ( SV43 @ SV208 )
= $false )
| ( ( ( SV43 @ SV188 )
= ( bot_bot_a_o @ SV188 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2726]) ).
thf(2831,plain,
! [SV188: x_a,SV43: x_a > $o,SV208: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV208 ) )
= $false )
| ( ( SV43 @ SV208 )
= $false )
| ( ( ( SV43 @ SV188 )
= ( bot_bot_a_o @ SV188 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2726]) ).
thf(2832,plain,
! [SV188: x_a,SV102: x_a,SV208: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV208 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV208 )
= $false )
| ( ( ( SV43 @ SV188 )
= ( bot_bot_a_o @ SV188 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2727]) ).
thf(2833,plain,
! [SV188: x_a,SV43: x_a > $o,SV208: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV208 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV208 )
= $false )
| ( ( ( SV43 @ SV188 )
= ( bot_bot_a_o @ SV188 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2727]) ).
thf(2834,plain,
! [SV206: x_a,SV103: x_a > $o,SV44: x_a > $o,SV149: x_a > $o] :
( ( ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 )
= $true )
| ( ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 )
= $false )
| ( ( ord_less_eq_a_o @ SV149 @ SV44 )
= $false )
| ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2732]) ).
thf(2835,plain,
! [SV44: x_a > $o,SV149: x_a > $o,SV206: x_a,SV103: x_a > $o] :
( ( ( SV103 @ SV206 )
= $true )
| ( ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 )
= $false )
| ( ( ord_less_eq_a_o @ SV149 @ SV44 )
= $false )
| ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2733]) ).
thf(2836,plain,
! [SV206: x_a,SV103: x_a > $o,SV44: x_a > $o,SV149: x_a > $o] :
( ( ( minus_minus_a_o @ SV149 @ ( minus_minus_a_o @ SV44 @ SV103 ) @ SV206 )
= $true )
| ( ( SV103 @ SV206 )
= $false )
| ( ( ord_less_eq_a_o @ SV149 @ SV44 )
= $false )
| ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2734]) ).
thf(2837,plain,
! [SV44: x_a > $o,SV149: x_a > $o,SV206: x_a,SV103: x_a > $o] :
( ( ( SV103 @ SV206 )
= $true )
| ( ( SV103 @ SV206 )
= $false )
| ( ( ord_less_eq_a_o @ SV149 @ SV44 )
= $false )
| ( ( ord_less_eq_a_o @ SV103 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2735]) ).
thf(2838,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $true )
| ( ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $true )
| ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2737]) ).
thf(2839,plain,
! [SV55: x_a > $o,SV114: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $true )
| ( ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $true )
| ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2738]) ).
thf(2840,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 )
| ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) )
= $false )
| ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $false )
| ( ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2739]) ).
thf(2841,plain,
! [SV114: x_a > $o,SV216: x_a,SV55: x_a > $o] :
( ( ( ( SV55 @ SV216 )
| ( SV114 @ SV216 ) )
= $false )
| ( ( ~ ( ~ ( SV55 @ SV216 )
| ~ ( SV114 @ SV216 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $false )
| ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2740]) ).
thf(2842,plain,
! [SV59: x_a > $o,SV212: x_a,SV118: x_a > $o] :
( ( ( ~ ( SV118 @ SV212 )
| ~ ( SV59 @ SV212 ) )
= $false )
| ( ( SV118 @ SV212 )
= $false )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2741]) ).
thf(2843,plain,
! [SV59: x_a > $o,SV212: x_a,SV118: x_a > $o] :
( ( ( ~ ( SV118 @ SV212 )
| ~ ( SV59 @ SV212 ) )
= $false )
| ( ( SV59 @ SV212 )
= $false )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2742]) ).
thf(2844,plain,
! [SV59: x_a > $o,SV118: x_a > $o] :
( ( ( SV118 @ ( sK21_SV210 @ SV59 @ SV118 ) )
= $false )
| ( ( ~ ( SV59 @ ( sK21_SV210 @ SV59 @ SV118 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2744]) ).
thf(2845,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV234: x_a,SV63: x_a > $o] :
( ( ( ( SV63 @ SV234 )
= ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2749]) ).
thf(2846,plain,
! [SV157: pname > $o,SV211: pname > $o,SV122: pname > x_a,SV63: x_a > $o] :
( ( ( ! [SV235: x_a] :
( ( SV63 @ SV235 )
= ( image_pname_a @ SV122 @ SV211 @ SV235 ) ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV211 @ SV157 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2751]) ).
thf(2847,plain,
! [SV157: pname > $o,SV211: pname > $o,SV122: pname > x_a,SV63: x_a > $o] :
( ( ( SV63
= ( image_pname_a @ SV122 @ SV211 ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV211 @ SV157 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2751]) ).
thf(2848,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
| ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
| ~ ( ~ ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
| ~ ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) ) )
= $false )
| ( ( SV131 = SV14 )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2806]) ).
thf(2849,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $false )
| ( ( SV131 = SV14 )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2806]) ).
thf(2850,plain,
! [SV76: x_a,SV14: x_a > $o,SV236: x_a,SV131: x_a > $o] :
( ( ( ( SV131 @ SV236 )
= ( SV14 @ SV236 ) )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2807]) ).
thf(2851,plain,
! [SV14: x_a > $o,SV76: x_a,SV131: x_a > $o] :
( ( ( ~ ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
| ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
| ~ ( ~ ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
| ~ ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) ) )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2809]) ).
thf(2852,plain,
! [SV14: x_a > $o,SV76: x_a,SV131: x_a > $o] :
( ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2809]) ).
thf(2853,plain,
! [SV14: x_a > $o,SV237: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 @ SV237 )
= ( insert_a @ SV76 @ SV14 @ SV237 ) )
= $true )
| ( ( SV131 = SV14 )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2810]) ).
thf(2854,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV79 ) )
= $false )
| ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $false )
| ( ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2814]) ).
thf(2855,plain,
! [SV17: x_a > $o,SV79: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV79 @ SV17 ) )
= $false )
| ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $false )
| ( ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2814]) ).
thf(2856,plain,
! [SV79: x_a > $o,SV215: x_a,SV17: x_a > $o] :
( ( ( SV17 @ SV215 )
= $false )
| ( ( ~ ( ~ ( SV17 @ SV215 )
| ~ ( SV79 @ SV215 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2815]) ).
thf(2857,plain,
! [SV17: x_a > $o,SV215: x_a,SV79: x_a > $o] :
( ( ( SV79 @ SV215 )
= $false )
| ( ( ~ ( ~ ( SV17 @ SV215 )
| ~ ( SV79 @ SV215 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2815]) ).
thf(2858,plain,
! [SV166: x_a,SV89: x_a,SV140: x_a,SV30: x_a] :
( ( ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
= $false )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2816]) ).
thf(2859,plain,
! [SV30: x_a,SV89: x_a,SV166: x_a,SV140: x_a] :
( ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false )
| ( ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
| ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2817]) ).
thf(2860,plain,
! [SV140: x_a,SV89: x_a,SV166: x_a,SV30: x_a] :
( ( ( ( SV30 != SV166 )
| ( SV89 != SV140 ) )
= $false )
| ( ( SV30 = SV140 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2818]) ).
thf(2861,plain,
! [SV140: x_a,SV89: x_a,SV166: x_a,SV30: x_a] :
( ( ( ( SV30 != SV166 )
| ( SV89 != SV140 ) )
= $false )
| ( ( SV89 = SV166 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2819]) ).
thf(2862,plain,
! [SV89: x_a,SV140: x_a,SV166: x_a,SV30: x_a] :
( ( ( SV30 = SV166 )
= $true )
| ( ( SV30 = SV140 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2820]) ).
thf(2863,plain,
! [SV166: x_a,SV30: x_a,SV140: x_a,SV89: x_a] :
( ( ( SV89 = SV140 )
= $true )
| ( ( SV30 = SV140 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2821]) ).
thf(2864,plain,
! [SV140: x_a,SV89: x_a,SV166: x_a,SV30: x_a] :
( ( ( SV30 = SV166 )
= $true )
| ( ( SV89 = SV166 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2822]) ).
thf(2865,plain,
! [SV30: x_a,SV166: x_a,SV140: x_a,SV89: x_a] :
( ( ( SV89 = SV140 )
= $true )
| ( ( SV89 = SV166 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2823]) ).
thf(2866,plain,
! [SV166: x_a,SV140: x_a,SV228: x_a,SV89: x_a,SV30: x_a] :
( ( ( ~ ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 )
| ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 ) )
| ~ ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 )
| ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 ) ) )
= $true )
| ( ( SV30 = SV140 )
= $false )
| ( ( SV89 = SV166 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2824]) ).
thf(2867,plain,
! [SV166: x_a,SV140: x_a,SV228: x_a,SV89: x_a,SV30: x_a] :
( ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 ) )
= $true )
| ( ( SV30 = SV140 )
= $false )
| ( ( SV89 = SV166 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2824]) ).
thf(2868,plain,
! [SV166: x_a,SV140: x_a,SV229: x_a,SV89: x_a,SV30: x_a] :
( ( ( ~ ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 )
| ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 ) )
| ~ ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 )
| ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 ) ) )
= $true )
| ( ( SV30 = SV166 )
= $false )
| ( ( SV89 = SV140 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2825]) ).
thf(2869,plain,
! [SV166: x_a,SV140: x_a,SV229: x_a,SV89: x_a,SV30: x_a] :
( ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 ) )
= $true )
| ( ( SV30 = SV166 )
= $false )
| ( ( SV89 = SV140 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2825]) ).
thf(2870,plain,
! [SV188: x_a,SV102: x_a,SV230: x_a,SV43: x_a > $o] :
( ( ( ~ ( ( SV43 @ SV230 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV230 ) )
| ~ ( ~ ( SV43 @ SV230 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV230 ) ) )
= $true )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2826]) ).
thf(2871,plain,
! [SV188: x_a,SV102: x_a,SV230: x_a,SV43: x_a > $o] :
( ( ( ( SV43 @ SV230 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV230 ) )
= $true )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2826]) ).
thf(2872,plain,
! [SV188: x_a,SV102: x_a,SV231: x_a,SV43: x_a > $o] :
( ( ( ~ ( ( SV43 @ SV231 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV231 ) )
| ~ ( ~ ( SV43 @ SV231 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV231 ) ) )
= $true )
| ( ( SV43 @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2827]) ).
thf(2873,plain,
! [SV188: x_a,SV102: x_a,SV231: x_a,SV43: x_a > $o] :
( ( ( ( SV43 @ SV231 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV231 ) )
= $true )
| ( ( SV43 @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2827]) ).
thf(2874,plain,
! [SV188: x_a,SV102: x_a,SV232: x_a,SV43: x_a > $o] :
( ( ( ~ ( ( SV43 @ SV232 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV232 ) )
| ~ ( ~ ( SV43 @ SV232 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV232 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2828]) ).
thf(2875,plain,
! [SV188: x_a,SV102: x_a,SV232: x_a,SV43: x_a > $o] :
( ( ( ( SV43 @ SV232 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV232 ) )
= $true )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2828]) ).
thf(2876,plain,
! [SV188: x_a,SV102: x_a,SV233: x_a,SV43: x_a > $o] :
( ( ( ~ ( ( SV43 @ SV233 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV233 ) )
| ~ ( ~ ( SV43 @ SV233 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV233 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2829]) ).
thf(2877,plain,
! [SV188: x_a,SV102: x_a,SV233: x_a,SV43: x_a > $o] :
( ( ( ( SV43 @ SV233 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV233 ) )
= $true )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2829]) ).
thf(2878,plain,
! [SV102: x_a,SV188: x_a,SV208: x_a,SV43: x_a > $o] :
( ( ( SV43 @ SV208 )
= $true )
| ( ( SV43 @ SV208 )
= $false )
| ( ( ( SV43 @ SV188 )
= ( bot_bot_a_o @ SV188 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2830]) ).
thf(2879,plain,
! [SV188: x_a,SV43: x_a > $o,SV208: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV208 )
= $true )
| ( ( SV43 @ SV208 )
= $false )
| ( ( ( SV43 @ SV188 )
= ( bot_bot_a_o @ SV188 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2831]) ).
thf(2880,plain,
! [SV188: x_a,SV102: x_a,SV208: x_a,SV43: x_a > $o] :
( ( ( SV43 @ SV208 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV208 )
= $false )
| ( ( ( SV43 @ SV188 )
= ( bot_bot_a_o @ SV188 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2832]) ).
thf(2881,plain,
! [SV188: x_a,SV43: x_a > $o,SV208: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV208 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV208 )
= $false )
| ( ( ( SV43 @ SV188 )
= ( bot_bot_a_o @ SV188 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2833]) ).
thf(2882,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV55 @ SV114 ) )
= $false )
| ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $false )
| ( ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2840]) ).
thf(2883,plain,
! [SV55: x_a > $o,SV114: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV114 @ SV55 ) )
= $false )
| ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $false )
| ( ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2840]) ).
thf(2884,plain,
! [SV114: x_a > $o,SV216: x_a,SV55: x_a > $o] :
( ( ( SV55 @ SV216 )
= $false )
| ( ( ~ ( ~ ( SV55 @ SV216 )
| ~ ( SV114 @ SV216 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $false )
| ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2841]) ).
thf(2885,plain,
! [SV55: x_a > $o,SV216: x_a,SV114: x_a > $o] :
( ( ( SV114 @ SV216 )
= $false )
| ( ( ~ ( ~ ( SV55 @ SV216 )
| ~ ( SV114 @ SV216 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $false )
| ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2841]) ).
thf(2886,plain,
! [SV59: x_a > $o,SV212: x_a,SV118: x_a > $o] :
( ( ( ~ ( SV118 @ SV212 ) )
= $false )
| ( ( SV118 @ SV212 )
= $false )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2842]) ).
thf(2887,plain,
! [SV118: x_a > $o,SV212: x_a,SV59: x_a > $o] :
( ( ( ~ ( SV59 @ SV212 ) )
= $false )
| ( ( SV118 @ SV212 )
= $false )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2842]) ).
thf(2888,plain,
! [SV59: x_a > $o,SV212: x_a,SV118: x_a > $o] :
( ( ( ~ ( SV118 @ SV212 ) )
= $false )
| ( ( SV59 @ SV212 )
= $false )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2843]) ).
thf(2889,plain,
! [SV118: x_a > $o,SV212: x_a,SV59: x_a > $o] :
( ( ( ~ ( SV59 @ SV212 ) )
= $false )
| ( ( SV59 @ SV212 )
= $false )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2843]) ).
thf(2890,plain,
! [SV118: x_a > $o,SV59: x_a > $o] :
( ( ( SV59 @ ( sK21_SV210 @ SV59 @ SV118 ) )
= $false )
| ( ( SV118 @ ( sK21_SV210 @ SV59 @ SV118 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2844]) ).
thf(2891,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV234: x_a,SV63: x_a > $o] :
( ( ( ~ ( ( SV63 @ SV234 )
| ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 ) )
| ~ ( ~ ( SV63 @ SV234 )
| ~ ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2845]) ).
thf(2892,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV234: x_a,SV63: x_a > $o] :
( ( ( ( SV63 @ SV234 )
= ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2845]) ).
thf(2893,plain,
! [SV122: pname > x_a,SV211: pname > $o,SV157: pname > $o,SV63: x_a > $o] :
( ( ( ( SV63 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) )
= ( image_pname_a @ SV122 @ SV211 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV211 @ SV157 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2846]) ).
thf(2894,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
| ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) ) )
= $false )
| ( ( SV131 = SV14 )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2848]) ).
thf(2895,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( ~ ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
| ~ ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) ) )
= $false )
| ( ( SV131 = SV14 )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2848]) ).
thf(2896,plain,
! [SV76: x_a,SV14: x_a > $o,SV131: x_a > $o] :
( ( ( ! [SV238: x_a] :
( ( SV131 @ SV238 )
= ( SV14 @ SV238 ) ) )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2849]) ).
thf(2897,plain,
! [SV76: x_a,SV14: x_a > $o,SV131: x_a > $o] :
( ( ( SV131 = SV14 )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2849]) ).
thf(2898,plain,
! [SV76: x_a,SV14: x_a > $o,SV236: x_a,SV131: x_a > $o] :
( ( ( ~ ( ( SV131 @ SV236 )
| ( SV14 @ SV236 ) )
| ~ ( ~ ( SV131 @ SV236 )
| ~ ( SV14 @ SV236 ) ) )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2850]) ).
thf(2899,plain,
! [SV76: x_a,SV14: x_a > $o,SV236: x_a,SV131: x_a > $o] :
( ( ( ( SV131 @ SV236 )
= ( SV14 @ SV236 ) )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2850]) ).
thf(2900,plain,
! [SV14: x_a > $o,SV76: x_a,SV131: x_a > $o] :
( ( ( ~ ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
| ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) ) )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2851]) ).
thf(2901,plain,
! [SV14: x_a > $o,SV76: x_a,SV131: x_a > $o] :
( ( ( ~ ( ~ ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
| ~ ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) ) )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2851]) ).
thf(2902,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ! [SV239: x_a] :
( ( insert_a @ SV76 @ SV131 @ SV239 )
= ( insert_a @ SV76 @ SV14 @ SV239 ) ) )
= $true )
| ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2852]) ).
thf(2903,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $true )
| ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2852]) ).
thf(2904,plain,
! [SV14: x_a > $o,SV237: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( ( insert_a @ SV76 @ SV131 @ SV237 )
| ( insert_a @ SV76 @ SV14 @ SV237 ) )
| ~ ( ~ ( insert_a @ SV76 @ SV131 @ SV237 )
| ~ ( insert_a @ SV76 @ SV14 @ SV237 ) ) )
= $true )
| ( ( SV131 = SV14 )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2853]) ).
thf(2905,plain,
! [SV14: x_a > $o,SV237: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 @ SV237 )
= ( insert_a @ SV76 @ SV14 @ SV237 ) )
= $true )
| ( ( SV131 = SV14 )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2853]) ).
thf(2906,plain,
! [SV79: x_a > $o,SV17: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $true )
| ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $false )
| ( ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2854]) ).
thf(2907,plain,
! [SV17: x_a > $o,SV79: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $true )
| ( ( SV17 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $false )
| ( ( SV79 @ ( sK15_SV193 @ SV79 @ SV17 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2855]) ).
thf(2908,plain,
! [SV79: x_a > $o,SV215: x_a,SV17: x_a > $o] :
( ( ( ~ ( SV17 @ SV215 )
| ~ ( SV79 @ SV215 ) )
= $false )
| ( ( SV17 @ SV215 )
= $false )
| ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2856]) ).
thf(2909,plain,
! [SV79: x_a > $o,SV215: x_a,SV17: x_a > $o] :
( ( ( ~ ( SV17 @ SV215 )
| ~ ( SV79 @ SV215 ) )
= $false )
| ( ( SV79 @ SV215 )
= $false )
| ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2857]) ).
thf(2910,plain,
! [SV89: x_a,SV166: x_a,SV140: x_a,SV30: x_a] :
( ( ( SV30 != SV140 )
= $false )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2858]) ).
thf(2911,plain,
! [SV140: x_a,SV30: x_a,SV166: x_a,SV89: x_a] :
( ( ( SV89 != SV166 )
= $false )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2858]) ).
thf(2912,plain,
! [SV166: x_a,SV89: x_a,SV140: x_a,SV30: x_a] :
( ( ( ~ ( ( SV30 != SV140 )
| ( SV89 != SV166 ) ) )
= $true )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2859]) ).
thf(2913,plain,
! [SV89: x_a,SV140: x_a,SV166: x_a,SV30: x_a] :
( ( ( SV30 != SV166 )
= $false )
| ( ( SV30 = SV140 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2860]) ).
thf(2914,plain,
! [SV166: x_a,SV30: x_a,SV140: x_a,SV89: x_a] :
( ( ( SV89 != SV140 )
= $false )
| ( ( SV30 = SV140 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2860]) ).
thf(2915,plain,
! [SV140: x_a,SV89: x_a,SV166: x_a,SV30: x_a] :
( ( ( SV30 != SV166 )
= $false )
| ( ( SV89 = SV166 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2861]) ).
thf(2916,plain,
! [SV30: x_a,SV166: x_a,SV140: x_a,SV89: x_a] :
( ( ( SV89 != SV140 )
= $false )
| ( ( SV89 = SV166 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2861]) ).
thf(2917,plain,
! [SV166: x_a,SV140: x_a,SV228: x_a,SV89: x_a,SV30: x_a] :
( ( ( ~ ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 )
| ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 )
| ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 ) ) )
= $true )
| ( ( SV30 = SV140 )
= $false )
| ( ( SV89 = SV166 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2866]) ).
thf(2918,plain,
! [SV166: x_a,SV140: x_a,SV229: x_a,SV89: x_a,SV30: x_a] :
( ( ( ~ ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 )
| ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 )
| ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 ) ) )
= $true )
| ( ( SV30 = SV166 )
= $false )
| ( ( SV89 = SV140 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2868]) ).
thf(2919,plain,
! [SV188: x_a,SV102: x_a,SV230: x_a,SV43: x_a > $o] :
( ( ( ~ ( ( SV43 @ SV230 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV230 ) ) )
= $true )
| ( ( ~ ( ~ ( SV43 @ SV230 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV230 ) ) )
= $true )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2870]) ).
thf(2920,plain,
! [SV188: x_a,SV102: x_a,SV231: x_a,SV43: x_a > $o] :
( ( ( ~ ( ( SV43 @ SV231 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV231 ) ) )
= $true )
| ( ( ~ ( ~ ( SV43 @ SV231 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV231 ) ) )
= $true )
| ( ( SV43 @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2872]) ).
thf(2921,plain,
! [SV188: x_a,SV102: x_a,SV232: x_a,SV43: x_a > $o] :
( ( ( ~ ( ( SV43 @ SV232 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV232 ) ) )
= $true )
| ( ( ~ ( ~ ( SV43 @ SV232 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV232 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2874]) ).
thf(2922,plain,
! [SV188: x_a,SV102: x_a,SV233: x_a,SV43: x_a > $o] :
( ( ( ~ ( ( SV43 @ SV233 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV233 ) ) )
= $true )
| ( ( ~ ( ~ ( SV43 @ SV233 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV233 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2876]) ).
thf(2923,plain,
! [SV114: x_a > $o,SV55: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $true )
| ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $false )
| ( ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2882]) ).
thf(2924,plain,
! [SV55: x_a > $o,SV114: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $true )
| ( ( SV55 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $false )
| ( ( SV114 @ ( sK18_SV202 @ SV114 @ SV55 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2883]) ).
thf(2925,plain,
! [SV114: x_a > $o,SV216: x_a,SV55: x_a > $o] :
( ( ( ~ ( SV55 @ SV216 )
| ~ ( SV114 @ SV216 ) )
= $false )
| ( ( SV55 @ SV216 )
= $false )
| ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $false )
| ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2884]) ).
thf(2926,plain,
! [SV114: x_a > $o,SV216: x_a,SV55: x_a > $o] :
( ( ( ~ ( SV55 @ SV216 )
| ~ ( SV114 @ SV216 ) )
= $false )
| ( ( SV114 @ SV216 )
= $false )
| ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $false )
| ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2885]) ).
thf(2927,plain,
! [SV59: x_a > $o,SV212: x_a,SV118: x_a > $o] :
( ( ( SV118 @ SV212 )
= $true )
| ( ( SV118 @ SV212 )
= $false )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2886]) ).
thf(2928,plain,
! [SV118: x_a > $o,SV212: x_a,SV59: x_a > $o] :
( ( ( SV59 @ SV212 )
= $true )
| ( ( SV118 @ SV212 )
= $false )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2887]) ).
thf(2929,plain,
! [SV59: x_a > $o,SV212: x_a,SV118: x_a > $o] :
( ( ( SV118 @ SV212 )
= $true )
| ( ( SV59 @ SV212 )
= $false )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2888]) ).
thf(2930,plain,
! [SV118: x_a > $o,SV212: x_a,SV59: x_a > $o] :
( ( ( SV59 @ SV212 )
= $true )
| ( ( SV59 @ SV212 )
= $false )
| ( ( ord_less_eq_a_o @ SV118 @ SV59 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2889]) ).
thf(2931,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV234: x_a,SV63: x_a > $o] :
( ( ( ~ ( ( SV63 @ SV234 )
| ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 ) ) )
= $true )
| ( ( ~ ( ~ ( SV63 @ SV234 )
| ~ ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2891]) ).
thf(2932,plain,
! [SV122: pname > x_a,SV211: pname > $o,SV157: pname > $o,SV63: x_a > $o] :
( ( ( ~ ( ( SV63 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) )
| ( image_pname_a @ SV122 @ SV211 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) ) )
| ~ ( ~ ( SV63 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) )
| ~ ( image_pname_a @ SV122 @ SV211 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) ) ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV211 @ SV157 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2893]) ).
thf(2933,plain,
! [SV122: pname > x_a,SV211: pname > $o,SV157: pname > $o,SV63: x_a > $o] :
( ( ( ( SV63 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) )
= ( image_pname_a @ SV122 @ SV211 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV211 @ SV157 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2893]) ).
thf(2934,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
| ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $true )
| ( ( SV131 = SV14 )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2894]) ).
thf(2935,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
| ~ ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $true )
| ( ( SV131 = SV14 )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2895]) ).
thf(2936,plain,
! [SV76: x_a,SV14: x_a > $o,SV240: x_a,SV131: x_a > $o] :
( ( ( ( SV131 @ SV240 )
= ( SV14 @ SV240 ) )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2896]) ).
thf(2937,plain,
! [SV76: x_a,SV14: x_a > $o,SV236: x_a,SV131: x_a > $o] :
( ( ( ~ ( ( SV131 @ SV236 )
| ( SV14 @ SV236 ) ) )
= $true )
| ( ( ~ ( ~ ( SV131 @ SV236 )
| ~ ( SV14 @ SV236 ) ) )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2898]) ).
thf(2938,plain,
! [SV14: x_a > $o,SV76: x_a,SV131: x_a > $o] :
( ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
| ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2900]) ).
thf(2939,plain,
! [SV14: x_a > $o,SV76: x_a,SV131: x_a > $o] :
( ( ( ~ ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
| ~ ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2901]) ).
thf(2940,plain,
! [SV14: x_a > $o,SV241: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 @ SV241 )
= ( insert_a @ SV76 @ SV14 @ SV241 ) )
= $true )
| ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2902]) ).
thf(2941,plain,
! [SV14: x_a > $o,SV237: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( ( insert_a @ SV76 @ SV131 @ SV237 )
| ( insert_a @ SV76 @ SV14 @ SV237 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV76 @ SV131 @ SV237 )
| ~ ( insert_a @ SV76 @ SV14 @ SV237 ) ) )
= $true )
| ( ( SV131 = SV14 )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2904]) ).
thf(2942,plain,
! [SV79: x_a > $o,SV215: x_a,SV17: x_a > $o] :
( ( ( ~ ( SV17 @ SV215 ) )
= $false )
| ( ( SV17 @ SV215 )
= $false )
| ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2908]) ).
thf(2943,plain,
! [SV17: x_a > $o,SV215: x_a,SV79: x_a > $o] :
( ( ( ~ ( SV79 @ SV215 ) )
= $false )
| ( ( SV17 @ SV215 )
= $false )
| ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2908]) ).
thf(2944,plain,
! [SV79: x_a > $o,SV215: x_a,SV17: x_a > $o] :
( ( ( ~ ( SV17 @ SV215 ) )
= $false )
| ( ( SV79 @ SV215 )
= $false )
| ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2909]) ).
thf(2945,plain,
! [SV17: x_a > $o,SV215: x_a,SV79: x_a > $o] :
( ( ( ~ ( SV79 @ SV215 ) )
= $false )
| ( ( SV79 @ SV215 )
= $false )
| ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2909]) ).
thf(2946,plain,
! [SV89: x_a,SV166: x_a,SV140: x_a,SV30: x_a] :
( ( ( SV30 = SV140 )
= $true )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2910]) ).
thf(2947,plain,
! [SV140: x_a,SV30: x_a,SV166: x_a,SV89: x_a] :
( ( ( SV89 = SV166 )
= $true )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2911]) ).
thf(2948,plain,
! [SV166: x_a,SV89: x_a,SV140: x_a,SV30: x_a] :
( ( ( ( SV30 != SV140 )
| ( SV89 != SV166 ) )
= $false )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2912]) ).
thf(2949,plain,
! [SV89: x_a,SV140: x_a,SV166: x_a,SV30: x_a] :
( ( ( SV30 = SV166 )
= $true )
| ( ( SV30 = SV140 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2913]) ).
thf(2950,plain,
! [SV166: x_a,SV30: x_a,SV140: x_a,SV89: x_a] :
( ( ( SV89 = SV140 )
= $true )
| ( ( SV30 = SV140 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2914]) ).
thf(2951,plain,
! [SV140: x_a,SV89: x_a,SV166: x_a,SV30: x_a] :
( ( ( SV30 = SV166 )
= $true )
| ( ( SV89 = SV166 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2915]) ).
thf(2952,plain,
! [SV30: x_a,SV166: x_a,SV140: x_a,SV89: x_a] :
( ( ( SV89 = SV140 )
= $true )
| ( ( SV89 = SV166 )
= $true )
| ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2916]) ).
thf(2953,plain,
! [SV166: x_a,SV140: x_a,SV228: x_a,SV89: x_a,SV30: x_a] :
( ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 )
| ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 )
| ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 ) ) )
= $true )
| ( ( SV30 = SV140 )
= $false )
| ( ( SV89 = SV166 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2917]) ).
thf(2954,plain,
! [SV166: x_a,SV140: x_a,SV229: x_a,SV89: x_a,SV30: x_a] :
( ( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 )
| ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 )
| ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 ) ) )
= $true )
| ( ( SV30 = SV166 )
= $false )
| ( ( SV89 = SV140 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2918]) ).
thf(2955,plain,
! [SV188: x_a,SV102: x_a,SV230: x_a,SV43: x_a > $o] :
( ( ( ( SV43 @ SV230 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV230 ) )
= $false )
| ( ( ~ ( ~ ( SV43 @ SV230 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV230 ) ) )
= $true )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2919]) ).
thf(2956,plain,
! [SV188: x_a,SV102: x_a,SV231: x_a,SV43: x_a > $o] :
( ( ( ( SV43 @ SV231 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV231 ) )
= $false )
| ( ( ~ ( ~ ( SV43 @ SV231 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV231 ) ) )
= $true )
| ( ( SV43 @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2920]) ).
thf(2957,plain,
! [SV188: x_a,SV102: x_a,SV232: x_a,SV43: x_a > $o] :
( ( ( ( SV43 @ SV232 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV232 ) )
= $false )
| ( ( ~ ( ~ ( SV43 @ SV232 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV232 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2921]) ).
thf(2958,plain,
! [SV188: x_a,SV102: x_a,SV233: x_a,SV43: x_a > $o] :
( ( ( ( SV43 @ SV233 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV233 ) )
= $false )
| ( ( ~ ( ~ ( SV43 @ SV233 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV233 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2922]) ).
thf(2959,plain,
! [SV114: x_a > $o,SV216: x_a,SV55: x_a > $o] :
( ( ( ~ ( SV55 @ SV216 ) )
= $false )
| ( ( SV55 @ SV216 )
= $false )
| ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $false )
| ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2925]) ).
thf(2960,plain,
! [SV55: x_a > $o,SV216: x_a,SV114: x_a > $o] :
( ( ( ~ ( SV114 @ SV216 ) )
= $false )
| ( ( SV55 @ SV216 )
= $false )
| ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $false )
| ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2925]) ).
thf(2961,plain,
! [SV114: x_a > $o,SV216: x_a,SV55: x_a > $o] :
( ( ( ~ ( SV55 @ SV216 ) )
= $false )
| ( ( SV114 @ SV216 )
= $false )
| ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $false )
| ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2926]) ).
thf(2962,plain,
! [SV55: x_a > $o,SV216: x_a,SV114: x_a > $o] :
( ( ( ~ ( SV114 @ SV216 ) )
= $false )
| ( ( SV114 @ SV216 )
= $false )
| ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $false )
| ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2926]) ).
thf(2963,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV234: x_a,SV63: x_a > $o] :
( ( ( ( SV63 @ SV234 )
| ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 ) )
= $false )
| ( ( ~ ( ~ ( SV63 @ SV234 )
| ~ ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2931]) ).
thf(2964,plain,
! [SV122: pname > x_a,SV211: pname > $o,SV157: pname > $o,SV63: x_a > $o] :
( ( ( ~ ( ( SV63 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) )
| ( image_pname_a @ SV122 @ SV211 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) ) ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV211 @ SV157 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2932]) ).
thf(2965,plain,
! [SV122: pname > x_a,SV211: pname > $o,SV157: pname > $o,SV63: x_a > $o] :
( ( ( ~ ( ~ ( SV63 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) )
| ~ ( image_pname_a @ SV122 @ SV211 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) ) ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV211 @ SV157 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2932]) ).
thf(2966,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( SV131 = SV14 )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2934]) ).
thf(2967,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $true )
| ( ( ~ ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $true )
| ( ( SV131 = SV14 )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2935]) ).
thf(2968,plain,
! [SV76: x_a,SV14: x_a > $o,SV240: x_a,SV131: x_a > $o] :
( ( ( ~ ( ( SV131 @ SV240 )
| ( SV14 @ SV240 ) )
| ~ ( ~ ( SV131 @ SV240 )
| ~ ( SV14 @ SV240 ) ) )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2936]) ).
thf(2969,plain,
! [SV76: x_a,SV14: x_a > $o,SV240: x_a,SV131: x_a > $o] :
( ( ( ( SV131 @ SV240 )
= ( SV14 @ SV240 ) )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2936]) ).
thf(2970,plain,
! [SV76: x_a,SV14: x_a > $o,SV236: x_a,SV131: x_a > $o] :
( ( ( ( SV131 @ SV236 )
| ( SV14 @ SV236 ) )
= $false )
| ( ( ~ ( ~ ( SV131 @ SV236 )
| ~ ( SV14 @ SV236 ) ) )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2937]) ).
thf(2971,plain,
! [SV14: x_a > $o,SV76: x_a,SV131: x_a > $o] :
( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2938]) ).
thf(2972,plain,
! [SV14: x_a > $o,SV76: x_a,SV131: x_a > $o] :
( ( ( ~ ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $true )
| ( ( ~ ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2939]) ).
thf(2973,plain,
! [SV14: x_a > $o,SV241: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( ( insert_a @ SV76 @ SV131 @ SV241 )
| ( insert_a @ SV76 @ SV14 @ SV241 ) )
| ~ ( ~ ( insert_a @ SV76 @ SV131 @ SV241 )
| ~ ( insert_a @ SV76 @ SV14 @ SV241 ) ) )
= $true )
| ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2940]) ).
thf(2974,plain,
! [SV14: x_a > $o,SV241: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 @ SV241 )
= ( insert_a @ SV76 @ SV14 @ SV241 ) )
= $true )
| ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2940]) ).
thf(2975,plain,
! [SV14: x_a > $o,SV237: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 @ SV237 )
| ( insert_a @ SV76 @ SV14 @ SV237 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV76 @ SV131 @ SV237 )
| ~ ( insert_a @ SV76 @ SV14 @ SV237 ) ) )
= $true )
| ( ( SV131 = SV14 )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2941]) ).
thf(2976,plain,
! [SV79: x_a > $o,SV215: x_a,SV17: x_a > $o] :
( ( ( SV17 @ SV215 )
= $true )
| ( ( SV17 @ SV215 )
= $false )
| ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2942]) ).
thf(2977,plain,
! [SV17: x_a > $o,SV215: x_a,SV79: x_a > $o] :
( ( ( SV79 @ SV215 )
= $true )
| ( ( SV17 @ SV215 )
= $false )
| ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2943]) ).
thf(2978,plain,
! [SV79: x_a > $o,SV215: x_a,SV17: x_a > $o] :
( ( ( SV17 @ SV215 )
= $true )
| ( ( SV79 @ SV215 )
= $false )
| ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2944]) ).
thf(2979,plain,
! [SV17: x_a > $o,SV215: x_a,SV79: x_a > $o] :
( ( ( SV79 @ SV215 )
= $true )
| ( ( SV79 @ SV215 )
= $false )
| ( ( ord_less_eq_a_o @ SV17 @ SV79 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2945]) ).
thf(2980,plain,
! [SV140: x_a,SV89: x_a,SV166: x_a,SV30: x_a] :
( ( ( ( SV30 != SV166 )
| ( SV89 != SV140 ) )
= $false )
| ( ( SV30 = SV140 )
= $true )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2946]) ).
thf(2981,plain,
! [SV140: x_a,SV89: x_a,SV166: x_a,SV30: x_a] :
( ( ( ( SV30 != SV166 )
| ( SV89 != SV140 ) )
= $false )
| ( ( SV89 = SV166 )
= $true )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2947]) ).
thf(2982,plain,
! [SV89: x_a,SV166: x_a,SV140: x_a,SV30: x_a] :
( ( ( SV30 != SV140 )
= $false )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2948]) ).
thf(2983,plain,
! [SV140: x_a,SV30: x_a,SV166: x_a,SV89: x_a] :
( ( ( SV89 != SV166 )
= $false )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2948]) ).
thf(2984,plain,
! [SV166: x_a,SV140: x_a,SV228: x_a,SV89: x_a,SV30: x_a] :
( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 )
| ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 ) ) )
= $true )
| ( ( SV30 = SV140 )
= $false )
| ( ( SV89 = SV166 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2953]) ).
thf(2985,plain,
! [SV89: x_a,SV30: x_a,SV228: x_a,SV166: x_a,SV140: x_a] :
( ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 )
| ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 ) ) )
= $true )
| ( ( SV30 = SV140 )
= $false )
| ( ( SV89 = SV166 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2953]) ).
thf(2986,plain,
! [SV166: x_a,SV140: x_a,SV229: x_a,SV89: x_a,SV30: x_a] :
( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 )
| ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 ) ) )
= $true )
| ( ( SV30 = SV166 )
= $false )
| ( ( SV89 = SV140 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2954]) ).
thf(2987,plain,
! [SV89: x_a,SV30: x_a,SV229: x_a,SV166: x_a,SV140: x_a] :
( ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 )
| ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 ) ) )
= $true )
| ( ( SV30 = SV166 )
= $false )
| ( ( SV89 = SV140 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2954]) ).
thf(2988,plain,
! [SV188: x_a,SV102: x_a,SV230: x_a,SV43: x_a > $o] :
( ( ( SV43 @ SV230 )
= $false )
| ( ( ~ ( ~ ( SV43 @ SV230 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV230 ) ) )
= $true )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2955]) ).
thf(2989,plain,
! [SV188: x_a,SV43: x_a > $o,SV230: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV230 )
= $false )
| ( ( ~ ( ~ ( SV43 @ SV230 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV230 ) ) )
= $true )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2955]) ).
thf(2990,plain,
! [SV188: x_a,SV102: x_a,SV231: x_a,SV43: x_a > $o] :
( ( ( SV43 @ SV231 )
= $false )
| ( ( ~ ( ~ ( SV43 @ SV231 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV231 ) ) )
= $true )
| ( ( SV43 @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2956]) ).
thf(2991,plain,
! [SV188: x_a,SV43: x_a > $o,SV231: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV231 )
= $false )
| ( ( ~ ( ~ ( SV43 @ SV231 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV231 ) ) )
= $true )
| ( ( SV43 @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2956]) ).
thf(2992,plain,
! [SV188: x_a,SV102: x_a,SV232: x_a,SV43: x_a > $o] :
( ( ( SV43 @ SV232 )
= $false )
| ( ( ~ ( ~ ( SV43 @ SV232 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV232 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2957]) ).
thf(2993,plain,
! [SV188: x_a,SV43: x_a > $o,SV232: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV232 )
= $false )
| ( ( ~ ( ~ ( SV43 @ SV232 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV232 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2957]) ).
thf(2994,plain,
! [SV188: x_a,SV102: x_a,SV233: x_a,SV43: x_a > $o] :
( ( ( SV43 @ SV233 )
= $false )
| ( ( ~ ( ~ ( SV43 @ SV233 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV233 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2958]) ).
thf(2995,plain,
! [SV188: x_a,SV43: x_a > $o,SV233: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV233 )
= $false )
| ( ( ~ ( ~ ( SV43 @ SV233 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV233 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2958]) ).
thf(2996,plain,
! [SV114: x_a > $o,SV216: x_a,SV55: x_a > $o] :
( ( ( SV55 @ SV216 )
= $true )
| ( ( SV55 @ SV216 )
= $false )
| ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $false )
| ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2959]) ).
thf(2997,plain,
! [SV55: x_a > $o,SV216: x_a,SV114: x_a > $o] :
( ( ( SV114 @ SV216 )
= $true )
| ( ( SV55 @ SV216 )
= $false )
| ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $false )
| ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2960]) ).
thf(2998,plain,
! [SV114: x_a > $o,SV216: x_a,SV55: x_a > $o] :
( ( ( SV55 @ SV216 )
= $true )
| ( ( SV114 @ SV216 )
= $false )
| ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $false )
| ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2961]) ).
thf(2999,plain,
! [SV55: x_a > $o,SV216: x_a,SV114: x_a > $o] :
( ( ( SV114 @ SV216 )
= $true )
| ( ( SV114 @ SV216 )
= $false )
| ( ( ord_less_eq_a_o @ SV55 @ SV114 )
= $false )
| ( ( ord_less_eq_a_o @ SV114 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2962]) ).
thf(3000,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV234: x_a,SV63: x_a > $o] :
( ( ( SV63 @ SV234 )
= $false )
| ( ( ~ ( ~ ( SV63 @ SV234 )
| ~ ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2963]) ).
thf(3001,plain,
! [SV234: x_a,SV157: pname > $o,SV63: x_a > $o,SV122: pname > x_a] :
( ( ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 )
= $false )
| ( ( ~ ( ~ ( SV63 @ SV234 )
| ~ ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2963]) ).
thf(3002,plain,
! [SV122: pname > x_a,SV211: pname > $o,SV157: pname > $o,SV63: x_a > $o] :
( ( ( ( SV63 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) )
| ( image_pname_a @ SV122 @ SV211 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) ) )
= $true )
| ( ( ord_less_eq_pname_o @ SV211 @ SV157 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2964]) ).
thf(3003,plain,
! [SV122: pname > x_a,SV211: pname > $o,SV157: pname > $o,SV63: x_a > $o] :
( ( ( ~ ( SV63 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) )
| ~ ( image_pname_a @ SV122 @ SV211 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) ) )
= $true )
| ( ( ord_less_eq_pname_o @ SV211 @ SV157 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2965]) ).
thf(3004,plain,
! [SV76: x_a,SV14: x_a > $o,SV131: x_a > $o] :
( ( ( ! [SV242: x_a] :
( ( SV131 @ SV242 )
= ( SV14 @ SV242 ) ) )
= $true )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2966]) ).
thf(3005,plain,
! [SV76: x_a,SV14: x_a > $o,SV131: x_a > $o] :
( ( ( SV131 = SV14 )
= $true )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2966]) ).
thf(3006,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( ~ ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $true )
| ( ( SV131 = SV14 )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2967]) ).
thf(3007,plain,
! [SV76: x_a,SV14: x_a > $o,SV240: x_a,SV131: x_a > $o] :
( ( ( ~ ( ( SV131 @ SV240 )
| ( SV14 @ SV240 ) ) )
= $true )
| ( ( ~ ( ~ ( SV131 @ SV240 )
| ~ ( SV14 @ SV240 ) ) )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2968]) ).
thf(3008,plain,
! [SV76: x_a,SV14: x_a > $o,SV236: x_a,SV131: x_a > $o] :
( ( ( SV131 @ SV236 )
= $false )
| ( ( ~ ( ~ ( SV131 @ SV236 )
| ~ ( SV14 @ SV236 ) ) )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2970]) ).
thf(3009,plain,
! [SV76: x_a,SV131: x_a > $o,SV236: x_a,SV14: x_a > $o] :
( ( ( SV14 @ SV236 )
= $false )
| ( ( ~ ( ~ ( SV131 @ SV236 )
| ~ ( SV14 @ SV236 ) ) )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2970]) ).
thf(3010,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ! [SV243: x_a] :
( ( insert_a @ SV76 @ SV131 @ SV243 )
= ( insert_a @ SV76 @ SV14 @ SV243 ) ) )
= $true )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2971]) ).
thf(3011,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $true )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2971]) ).
thf(3012,plain,
! [SV14: x_a > $o,SV76: x_a,SV131: x_a > $o] :
( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( ~ ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2972]) ).
thf(3013,plain,
! [SV14: x_a > $o,SV241: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( ( insert_a @ SV76 @ SV131 @ SV241 )
| ( insert_a @ SV76 @ SV14 @ SV241 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV76 @ SV131 @ SV241 )
| ~ ( insert_a @ SV76 @ SV14 @ SV241 ) ) )
= $true )
| ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2973]) ).
thf(3014,plain,
! [SV14: x_a > $o,SV237: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV131 @ SV237 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV76 @ SV131 @ SV237 )
| ~ ( insert_a @ SV76 @ SV14 @ SV237 ) ) )
= $true )
| ( ( SV131 = SV14 )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2975]) ).
thf(3015,plain,
! [SV131: x_a > $o,SV237: x_a,SV14: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV14 @ SV237 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV76 @ SV131 @ SV237 )
| ~ ( insert_a @ SV76 @ SV14 @ SV237 ) ) )
= $true )
| ( ( SV131 = SV14 )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2975]) ).
thf(3016,plain,
! [SV89: x_a,SV140: x_a,SV166: x_a,SV30: x_a] :
( ( ( SV30 != SV166 )
= $false )
| ( ( SV30 = SV140 )
= $true )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2980]) ).
thf(3017,plain,
! [SV166: x_a,SV30: x_a,SV140: x_a,SV89: x_a] :
( ( ( SV89 != SV140 )
= $false )
| ( ( SV30 = SV140 )
= $true )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2980]) ).
thf(3018,plain,
! [SV140: x_a,SV89: x_a,SV166: x_a,SV30: x_a] :
( ( ( SV30 != SV166 )
= $false )
| ( ( SV89 = SV166 )
= $true )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2981]) ).
thf(3019,plain,
! [SV30: x_a,SV166: x_a,SV140: x_a,SV89: x_a] :
( ( ( SV89 != SV140 )
= $false )
| ( ( SV89 = SV166 )
= $true )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2981]) ).
thf(3020,plain,
! [SV89: x_a,SV166: x_a,SV140: x_a,SV30: x_a] :
( ( ( SV30 = SV140 )
= $true )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2982]) ).
thf(3021,plain,
! [SV140: x_a,SV30: x_a,SV166: x_a,SV89: x_a] :
( ( ( SV89 = SV166 )
= $true )
| ( ( ~ ( ( SV30 != SV166 )
| ( SV89 != SV140 ) ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2983]) ).
thf(3022,plain,
! [SV166: x_a,SV140: x_a,SV228: x_a,SV89: x_a,SV30: x_a] :
( ( ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 )
| ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 ) )
= $false )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 )
= $false )
| ( ( SV30 = SV140 )
= $false )
| ( ( SV89 = SV166 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2984]) ).
thf(3023,plain,
! [SV166: x_a,SV140: x_a,SV228: x_a,SV89: x_a,SV30: x_a] :
( ( ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 )
| ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 )
= $false )
| ( ( SV30 = SV140 )
= $false )
| ( ( SV89 = SV166 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2985]) ).
thf(3024,plain,
! [SV166: x_a,SV140: x_a,SV229: x_a,SV89: x_a,SV30: x_a] :
( ( ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 )
| ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 ) )
= $false )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 )
= $false )
| ( ( SV30 = SV166 )
= $false )
| ( ( SV89 = SV140 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2986]) ).
thf(3025,plain,
! [SV166: x_a,SV140: x_a,SV229: x_a,SV89: x_a,SV30: x_a] :
( ( ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 )
| ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 )
= $false )
| ( ( SV30 = SV166 )
= $false )
| ( ( SV89 = SV140 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2987]) ).
thf(3026,plain,
! [SV188: x_a,SV102: x_a,SV230: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV230 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV230 ) )
= $false )
| ( ( SV43 @ SV230 )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2988]) ).
thf(3027,plain,
! [SV188: x_a,SV102: x_a,SV230: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV230 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV230 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV230 )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2989]) ).
thf(3028,plain,
! [SV188: x_a,SV102: x_a,SV231: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV231 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV231 ) )
= $false )
| ( ( SV43 @ SV231 )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2990]) ).
thf(3029,plain,
! [SV188: x_a,SV102: x_a,SV231: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV231 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV231 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV231 )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2991]) ).
thf(3030,plain,
! [SV188: x_a,SV102: x_a,SV232: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV232 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV232 ) )
= $false )
| ( ( SV43 @ SV232 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2992]) ).
thf(3031,plain,
! [SV188: x_a,SV102: x_a,SV232: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV232 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV232 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV232 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2993]) ).
thf(3032,plain,
! [SV188: x_a,SV102: x_a,SV233: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV233 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV233 ) )
= $false )
| ( ( SV43 @ SV233 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2994]) ).
thf(3033,plain,
! [SV188: x_a,SV102: x_a,SV233: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV233 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV233 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV233 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2995]) ).
thf(3034,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV234: x_a,SV63: x_a > $o] :
( ( ( ~ ( SV63 @ SV234 )
| ~ ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 ) )
= $false )
| ( ( SV63 @ SV234 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3000]) ).
thf(3035,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV234: x_a,SV63: x_a > $o] :
( ( ( ~ ( SV63 @ SV234 )
| ~ ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 ) )
= $false )
| ( ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3001]) ).
thf(3036,plain,
! [SV122: pname > x_a,SV211: pname > $o,SV157: pname > $o,SV63: x_a > $o] :
( ( ( SV63 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) )
= $true )
| ( ( image_pname_a @ SV122 @ SV211 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) )
= $true )
| ( ( ord_less_eq_pname_o @ SV211 @ SV157 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3002]) ).
thf(3037,plain,
! [SV122: pname > x_a,SV211: pname > $o,SV157: pname > $o,SV63: x_a > $o] :
( ( ( ~ ( SV63 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) ) )
= $true )
| ( ( ~ ( image_pname_a @ SV122 @ SV211 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) ) )
= $true )
| ( ( ord_less_eq_pname_o @ SV211 @ SV157 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3003]) ).
thf(3038,plain,
! [SV76: x_a,SV14: x_a > $o,SV244: x_a,SV131: x_a > $o] :
( ( ( ( SV131 @ SV244 )
= ( SV14 @ SV244 ) )
= $true )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3004]) ).
thf(3039,plain,
! [SV131: x_a > $o,SV14: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( SV131 = SV14 )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3006]) ).
thf(3040,plain,
! [SV76: x_a,SV14: x_a > $o,SV240: x_a,SV131: x_a > $o] :
( ( ( ( SV131 @ SV240 )
| ( SV14 @ SV240 ) )
= $false )
| ( ( ~ ( ~ ( SV131 @ SV240 )
| ~ ( SV14 @ SV240 ) ) )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3007]) ).
thf(3041,plain,
! [SV76: x_a,SV14: x_a > $o,SV236: x_a,SV131: x_a > $o] :
( ( ( ~ ( SV131 @ SV236 )
| ~ ( SV14 @ SV236 ) )
= $false )
| ( ( SV131 @ SV236 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3008]) ).
thf(3042,plain,
! [SV76: x_a,SV14: x_a > $o,SV236: x_a,SV131: x_a > $o] :
( ( ( ~ ( SV131 @ SV236 )
| ~ ( SV14 @ SV236 ) )
= $false )
| ( ( SV14 @ SV236 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3009]) ).
thf(3043,plain,
! [SV14: x_a > $o,SV245: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 @ SV245 )
= ( insert_a @ SV76 @ SV14 @ SV245 ) )
= $true )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3010]) ).
thf(3044,plain,
! [SV131: x_a > $o,SV76: x_a,SV14: x_a > $o] :
( ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3012]) ).
thf(3045,plain,
! [SV14: x_a > $o,SV241: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 @ SV241 )
| ( insert_a @ SV76 @ SV14 @ SV241 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV76 @ SV131 @ SV241 )
| ~ ( insert_a @ SV76 @ SV14 @ SV241 ) ) )
= $true )
| ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3013]) ).
thf(3046,plain,
! [SV14: x_a > $o,SV237: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV131 @ SV237 )
| ~ ( insert_a @ SV76 @ SV14 @ SV237 ) )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ SV237 )
= $false )
| ( ( SV131 = SV14 )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3014]) ).
thf(3047,plain,
! [SV14: x_a > $o,SV237: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV131 @ SV237 )
| ~ ( insert_a @ SV76 @ SV14 @ SV237 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ SV237 )
= $false )
| ( ( SV131 = SV14 )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3015]) ).
thf(3048,plain,
! [SV89: x_a,SV140: x_a,SV166: x_a,SV30: x_a] :
( ( ( SV30 = SV166 )
= $true )
| ( ( SV30 = SV140 )
= $true )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3016]) ).
thf(3049,plain,
! [SV166: x_a,SV30: x_a,SV140: x_a,SV89: x_a] :
( ( ( SV89 = SV140 )
= $true )
| ( ( SV30 = SV140 )
= $true )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3017]) ).
thf(3050,plain,
! [SV140: x_a,SV89: x_a,SV166: x_a,SV30: x_a] :
( ( ( SV30 = SV166 )
= $true )
| ( ( SV89 = SV166 )
= $true )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3018]) ).
thf(3051,plain,
! [SV30: x_a,SV166: x_a,SV140: x_a,SV89: x_a] :
( ( ( SV89 = SV140 )
= $true )
| ( ( SV89 = SV166 )
= $true )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3019]) ).
thf(3052,plain,
! [SV140: x_a,SV89: x_a,SV166: x_a,SV30: x_a] :
( ( ( ( SV30 != SV166 )
| ( SV89 != SV140 ) )
= $false )
| ( ( SV30 = SV140 )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3020]) ).
thf(3053,plain,
! [SV140: x_a,SV89: x_a,SV166: x_a,SV30: x_a] :
( ( ( ( SV30 != SV166 )
| ( SV89 != SV140 ) )
= $false )
| ( ( SV89 = SV166 )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3021]) ).
thf(3054,plain,
! [SV166: x_a,SV140: x_a,SV228: x_a,SV89: x_a,SV30: x_a] :
( ( ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 ) )
= $false )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 )
= $false )
| ( ( SV30 = SV140 )
= $false )
| ( ( SV89 = SV166 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3022]) ).
thf(3055,plain,
! [SV89: x_a,SV30: x_a,SV228: x_a,SV166: x_a,SV140: x_a] :
( ( ( ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 ) )
= $false )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 )
= $false )
| ( ( SV30 = SV140 )
= $false )
| ( ( SV89 = SV166 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3022]) ).
thf(3056,plain,
! [SV166: x_a,SV140: x_a,SV228: x_a,SV89: x_a,SV30: x_a] :
( ( ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 )
= $false )
| ( ( SV30 = SV140 )
= $false )
| ( ( SV89 = SV166 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3023]) ).
thf(3057,plain,
! [SV89: x_a,SV30: x_a,SV228: x_a,SV166: x_a,SV140: x_a] :
( ( ( ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 )
= $false )
| ( ( SV30 = SV140 )
= $false )
| ( ( SV89 = SV166 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3023]) ).
thf(3058,plain,
! [SV140: x_a,SV166: x_a,SV229: x_a,SV89: x_a,SV30: x_a] :
( ( ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 ) )
= $false )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 )
= $false )
| ( ( SV30 = SV166 )
= $false )
| ( ( SV89 = SV140 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3024]) ).
thf(3059,plain,
! [SV89: x_a,SV30: x_a,SV229: x_a,SV166: x_a,SV140: x_a] :
( ( ( ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 ) )
= $false )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 )
= $false )
| ( ( SV30 = SV166 )
= $false )
| ( ( SV89 = SV140 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3024]) ).
thf(3060,plain,
! [SV166: x_a,SV140: x_a,SV229: x_a,SV89: x_a,SV30: x_a] :
( ( ( ~ ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 )
= $false )
| ( ( SV30 = SV166 )
= $false )
| ( ( SV89 = SV140 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3025]) ).
thf(3061,plain,
! [SV89: x_a,SV30: x_a,SV229: x_a,SV166: x_a,SV140: x_a] :
( ( ( ~ ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 )
= $false )
| ( ( SV30 = SV166 )
= $false )
| ( ( SV89 = SV140 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3025]) ).
thf(3062,plain,
! [SV102: x_a,SV188: x_a,SV230: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV230 ) )
= $false )
| ( ( SV43 @ SV230 )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3026]) ).
thf(3063,plain,
! [SV188: x_a,SV43: x_a > $o,SV230: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV230 ) )
= $false )
| ( ( SV43 @ SV230 )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3026]) ).
thf(3064,plain,
! [SV188: x_a,SV102: x_a,SV230: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV230 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV230 )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3027]) ).
thf(3065,plain,
! [SV188: x_a,SV43: x_a > $o,SV230: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV230 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV230 )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3027]) ).
thf(3066,plain,
! [SV102: x_a,SV188: x_a,SV231: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV231 ) )
= $false )
| ( ( SV43 @ SV231 )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3028]) ).
thf(3067,plain,
! [SV188: x_a,SV43: x_a > $o,SV231: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV231 ) )
= $false )
| ( ( SV43 @ SV231 )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3028]) ).
thf(3068,plain,
! [SV188: x_a,SV102: x_a,SV231: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV231 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV231 )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3029]) ).
thf(3069,plain,
! [SV188: x_a,SV43: x_a > $o,SV231: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV231 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV231 )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3029]) ).
thf(3070,plain,
! [SV102: x_a,SV188: x_a,SV232: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV232 ) )
= $false )
| ( ( SV43 @ SV232 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3030]) ).
thf(3071,plain,
! [SV188: x_a,SV43: x_a > $o,SV232: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV232 ) )
= $false )
| ( ( SV43 @ SV232 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3030]) ).
thf(3072,plain,
! [SV188: x_a,SV102: x_a,SV232: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV232 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV232 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3031]) ).
thf(3073,plain,
! [SV43: x_a > $o,SV188: x_a,SV232: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV232 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV232 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3031]) ).
thf(3074,plain,
! [SV102: x_a,SV188: x_a,SV233: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV233 ) )
= $false )
| ( ( SV43 @ SV233 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3032]) ).
thf(3075,plain,
! [SV188: x_a,SV43: x_a > $o,SV233: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV233 ) )
= $false )
| ( ( SV43 @ SV233 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3032]) ).
thf(3076,plain,
! [SV188: x_a,SV102: x_a,SV233: x_a,SV43: x_a > $o] :
( ( ( ~ ( SV43 @ SV233 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV233 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3033]) ).
thf(3077,plain,
! [SV43: x_a > $o,SV188: x_a,SV233: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV233 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV233 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3033]) ).
thf(3078,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV234: x_a,SV63: x_a > $o] :
( ( ( ~ ( SV63 @ SV234 ) )
= $false )
| ( ( SV63 @ SV234 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3034]) ).
thf(3079,plain,
! [SV234: x_a,SV157: pname > $o,SV63: x_a > $o,SV122: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 ) )
= $false )
| ( ( SV63 @ SV234 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3034]) ).
thf(3080,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV234: x_a,SV63: x_a > $o] :
( ( ( ~ ( SV63 @ SV234 ) )
= $false )
| ( ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3035]) ).
thf(3081,plain,
! [SV234: x_a,SV157: pname > $o,SV63: x_a > $o,SV122: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 ) )
= $false )
| ( ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3035]) ).
thf(3082,plain,
! [SV122: pname > x_a,SV211: pname > $o,SV157: pname > $o,SV63: x_a > $o] :
( ( ( SV63 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) )
= $false )
| ( ( ~ ( image_pname_a @ SV122 @ SV211 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) ) )
= $true )
| ( ( ord_less_eq_pname_o @ SV211 @ SV157 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3037]) ).
thf(3083,plain,
! [SV76: x_a,SV14: x_a > $o,SV244: x_a,SV131: x_a > $o] :
( ( ( ~ ( ( SV131 @ SV244 )
| ( SV14 @ SV244 ) )
| ~ ( ~ ( SV131 @ SV244 )
| ~ ( SV14 @ SV244 ) ) )
= $true )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3038]) ).
thf(3084,plain,
! [SV76: x_a,SV14: x_a > $o,SV244: x_a,SV131: x_a > $o] :
( ( ( ( SV131 @ SV244 )
= ( SV14 @ SV244 ) )
= $true )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3038]) ).
thf(3085,plain,
! [SV76: x_a,SV14: x_a > $o,SV131: x_a > $o] :
( ( ( ! [SV246: x_a] :
( ( SV131 @ SV246 )
= ( SV14 @ SV246 ) ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3039]) ).
thf(3086,plain,
! [SV76: x_a,SV14: x_a > $o,SV131: x_a > $o] :
( ( ( SV131 = SV14 )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3039]) ).
thf(3087,plain,
! [SV76: x_a,SV14: x_a > $o,SV240: x_a,SV131: x_a > $o] :
( ( ( SV131 @ SV240 )
= $false )
| ( ( ~ ( ~ ( SV131 @ SV240 )
| ~ ( SV14 @ SV240 ) ) )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3040]) ).
thf(3088,plain,
! [SV76: x_a,SV131: x_a > $o,SV240: x_a,SV14: x_a > $o] :
( ( ( SV14 @ SV240 )
= $false )
| ( ( ~ ( ~ ( SV131 @ SV240 )
| ~ ( SV14 @ SV240 ) ) )
= $true )
| ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3040]) ).
thf(3089,plain,
! [SV14: x_a > $o,SV76: x_a,SV236: x_a,SV131: x_a > $o] :
( ( ( ~ ( SV131 @ SV236 ) )
= $false )
| ( ( SV131 @ SV236 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3041]) ).
thf(3090,plain,
! [SV76: x_a,SV131: x_a > $o,SV236: x_a,SV14: x_a > $o] :
( ( ( ~ ( SV14 @ SV236 ) )
= $false )
| ( ( SV131 @ SV236 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3041]) ).
thf(3091,plain,
! [SV76: x_a,SV14: x_a > $o,SV236: x_a,SV131: x_a > $o] :
( ( ( ~ ( SV131 @ SV236 ) )
= $false )
| ( ( SV14 @ SV236 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3042]) ).
thf(3092,plain,
! [SV131: x_a > $o,SV76: x_a,SV236: x_a,SV14: x_a > $o] :
( ( ( ~ ( SV14 @ SV236 ) )
= $false )
| ( ( SV14 @ SV236 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3042]) ).
thf(3093,plain,
! [SV14: x_a > $o,SV245: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( ( insert_a @ SV76 @ SV131 @ SV245 )
| ( insert_a @ SV76 @ SV14 @ SV245 ) )
| ~ ( ~ ( insert_a @ SV76 @ SV131 @ SV245 )
| ~ ( insert_a @ SV76 @ SV14 @ SV245 ) ) )
= $true )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3043]) ).
thf(3094,plain,
! [SV14: x_a > $o,SV245: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 @ SV245 )
= ( insert_a @ SV76 @ SV14 @ SV245 ) )
= $true )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3043]) ).
thf(3095,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ! [SV247: x_a] :
( ( insert_a @ SV76 @ SV131 @ SV247 )
= ( insert_a @ SV76 @ SV14 @ SV247 ) ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3044]) ).
thf(3096,plain,
! [SV14: x_a > $o,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3044]) ).
thf(3097,plain,
! [SV14: x_a > $o,SV241: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV131 @ SV241 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV76 @ SV131 @ SV241 )
| ~ ( insert_a @ SV76 @ SV14 @ SV241 ) ) )
= $true )
| ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3045]) ).
thf(3098,plain,
! [SV131: x_a > $o,SV241: x_a,SV14: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV14 @ SV241 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV76 @ SV131 @ SV241 )
| ~ ( insert_a @ SV76 @ SV14 @ SV241 ) ) )
= $true )
| ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3045]) ).
thf(3099,plain,
! [SV14: x_a > $o,SV237: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV131 @ SV237 ) )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ SV237 )
= $false )
| ( ( SV131 = SV14 )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3046]) ).
thf(3100,plain,
! [SV131: x_a > $o,SV237: x_a,SV14: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV14 @ SV237 ) )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ SV237 )
= $false )
| ( ( SV131 = SV14 )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3046]) ).
thf(3101,plain,
! [SV14: x_a > $o,SV237: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV131 @ SV237 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ SV237 )
= $false )
| ( ( SV131 = SV14 )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3047]) ).
thf(3102,plain,
! [SV131: x_a > $o,SV237: x_a,SV14: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV14 @ SV237 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ SV237 )
= $false )
| ( ( SV131 = SV14 )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3047]) ).
thf(3103,plain,
! [SV89: x_a,SV140: x_a,SV166: x_a,SV30: x_a] :
( ( ( SV30 != SV166 )
= $false )
| ( ( SV30 = SV140 )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3052]) ).
thf(3104,plain,
! [SV166: x_a,SV30: x_a,SV140: x_a,SV89: x_a] :
( ( ( SV89 != SV140 )
= $false )
| ( ( SV30 = SV140 )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3052]) ).
thf(3105,plain,
! [SV140: x_a,SV89: x_a,SV166: x_a,SV30: x_a] :
( ( ( SV30 != SV166 )
= $false )
| ( ( SV89 = SV166 )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3053]) ).
thf(3106,plain,
! [SV30: x_a,SV166: x_a,SV140: x_a,SV89: x_a] :
( ( ( SV89 != SV140 )
= $false )
| ( ( SV89 = SV166 )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3053]) ).
thf(3107,plain,
! [SV166: x_a,SV140: x_a,SV228: x_a,SV89: x_a,SV30: x_a] :
( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 )
= $false )
| ( ( SV30 = SV140 )
= $false )
| ( ( SV89 = SV166 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3054]) ).
thf(3108,plain,
! [SV89: x_a,SV30: x_a,SV228: x_a,SV166: x_a,SV140: x_a] :
( ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 )
= $false )
| ( ( SV30 = SV140 )
= $false )
| ( ( SV89 = SV166 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3055]) ).
thf(3109,plain,
! [SV166: x_a,SV140: x_a,SV228: x_a,SV89: x_a,SV30: x_a] :
( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV228 )
= $true )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 )
= $false )
| ( ( SV30 = SV140 )
= $false )
| ( ( SV89 = SV166 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3056]) ).
thf(3110,plain,
! [SV89: x_a,SV30: x_a,SV228: x_a,SV166: x_a,SV140: x_a] :
( ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 )
= $true )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV228 )
= $false )
| ( ( SV30 = SV140 )
= $false )
| ( ( SV89 = SV166 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3057]) ).
thf(3111,plain,
! [SV140: x_a,SV166: x_a,SV229: x_a,SV89: x_a,SV30: x_a] :
( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 )
= $false )
| ( ( SV30 = SV166 )
= $false )
| ( ( SV89 = SV140 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3058]) ).
thf(3112,plain,
! [SV89: x_a,SV30: x_a,SV229: x_a,SV166: x_a,SV140: x_a] :
( ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 )
= $false )
| ( ( SV30 = SV166 )
= $false )
| ( ( SV89 = SV140 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3059]) ).
thf(3113,plain,
! [SV166: x_a,SV140: x_a,SV229: x_a,SV89: x_a,SV30: x_a] :
( ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ SV229 )
= $true )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 )
= $false )
| ( ( SV30 = SV166 )
= $false )
| ( ( SV89 = SV140 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3060]) ).
thf(3114,plain,
! [SV89: x_a,SV30: x_a,SV229: x_a,SV166: x_a,SV140: x_a] :
( ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 )
= $true )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ SV229 )
= $false )
| ( ( SV30 = SV166 )
= $false )
| ( ( SV89 = SV140 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3061]) ).
thf(3115,plain,
! [SV102: x_a,SV188: x_a,SV230: x_a,SV43: x_a > $o] :
( ( ( SV43 @ SV230 )
= $true )
| ( ( SV43 @ SV230 )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3062]) ).
thf(3116,plain,
! [SV188: x_a,SV43: x_a > $o,SV230: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV230 )
= $true )
| ( ( SV43 @ SV230 )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3063]) ).
thf(3117,plain,
! [SV188: x_a,SV102: x_a,SV230: x_a,SV43: x_a > $o] :
( ( ( SV43 @ SV230 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV230 )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3064]) ).
thf(3118,plain,
! [SV188: x_a,SV43: x_a > $o,SV230: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV230 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV230 )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3065]) ).
thf(3119,plain,
! [SV102: x_a,SV188: x_a,SV231: x_a,SV43: x_a > $o] :
( ( ( SV43 @ SV231 )
= $true )
| ( ( SV43 @ SV231 )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3066]) ).
thf(3120,plain,
! [SV188: x_a,SV43: x_a > $o,SV231: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV231 )
= $true )
| ( ( SV43 @ SV231 )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3067]) ).
thf(3121,plain,
! [SV188: x_a,SV102: x_a,SV231: x_a,SV43: x_a > $o] :
( ( ( SV43 @ SV231 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV231 )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3068]) ).
thf(3122,plain,
! [SV188: x_a,SV43: x_a > $o,SV231: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV231 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV231 )
= $false )
| ( ( SV43 @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3069]) ).
thf(3123,plain,
! [SV102: x_a,SV188: x_a,SV232: x_a,SV43: x_a > $o] :
( ( ( SV43 @ SV232 )
= $true )
| ( ( SV43 @ SV232 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3070]) ).
thf(3124,plain,
! [SV188: x_a,SV43: x_a > $o,SV232: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV232 )
= $true )
| ( ( SV43 @ SV232 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3071]) ).
thf(3125,plain,
! [SV188: x_a,SV102: x_a,SV232: x_a,SV43: x_a > $o] :
( ( ( SV43 @ SV232 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV232 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3072]) ).
thf(3126,plain,
! [SV43: x_a > $o,SV188: x_a,SV232: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV232 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV232 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( SV43 @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3073]) ).
thf(3127,plain,
! [SV102: x_a,SV188: x_a,SV233: x_a,SV43: x_a > $o] :
( ( ( SV43 @ SV233 )
= $true )
| ( ( SV43 @ SV233 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3074]) ).
thf(3128,plain,
! [SV188: x_a,SV43: x_a > $o,SV233: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV233 )
= $true )
| ( ( SV43 @ SV233 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3075]) ).
thf(3129,plain,
! [SV188: x_a,SV102: x_a,SV233: x_a,SV43: x_a > $o] :
( ( ( SV43 @ SV233 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV233 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3076]) ).
thf(3130,plain,
! [SV43: x_a > $o,SV188: x_a,SV233: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV233 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV233 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $false )
| ( ( bot_bot_a_o @ SV188 )
= $true )
| ( ( ord_less_eq_a_o @ SV43 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3077]) ).
thf(3131,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV234: x_a,SV63: x_a > $o] :
( ( ( SV63 @ SV234 )
= $true )
| ( ( SV63 @ SV234 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3078]) ).
thf(3132,plain,
! [SV234: x_a,SV157: pname > $o,SV63: x_a > $o,SV122: pname > x_a] :
( ( ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 )
= $true )
| ( ( SV63 @ SV234 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3079]) ).
thf(3133,plain,
! [SV157: pname > $o,SV122: pname > x_a,SV234: x_a,SV63: x_a > $o] :
( ( ( SV63 @ SV234 )
= $true )
| ( ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3080]) ).
thf(3134,plain,
! [SV234: x_a,SV157: pname > $o,SV63: x_a > $o,SV122: pname > x_a] :
( ( ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 )
= $true )
| ( ( image_pname_a @ SV122 @ ( sK19_SY306 @ SV122 @ SV63 @ SV157 ) @ SV234 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3081]) ).
thf(3135,plain,
! [SV63: x_a > $o,SV157: pname > $o,SV211: pname > $o,SV122: pname > x_a] :
( ( ( image_pname_a @ SV122 @ SV211 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) )
= $false )
| ( ( SV63 @ ( sK24_SV235 @ SV157 @ SV211 @ SV122 @ SV63 ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV211 @ SV157 )
= $false )
| ( ( ord_less_eq_a_o @ SV63 @ ( image_pname_a @ SV122 @ SV157 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3082]) ).
thf(3136,plain,
! [SV76: x_a,SV14: x_a > $o,SV244: x_a,SV131: x_a > $o] :
( ( ( ~ ( ( SV131 @ SV244 )
| ( SV14 @ SV244 ) ) )
= $true )
| ( ( ~ ( ~ ( SV131 @ SV244 )
| ~ ( SV14 @ SV244 ) ) )
= $true )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3083]) ).
thf(3137,plain,
! [SV76: x_a,SV14: x_a > $o,SV248: x_a,SV131: x_a > $o] :
( ( ( ( SV131 @ SV248 )
= ( SV14 @ SV248 ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3085]) ).
thf(3138,plain,
! [SV76: x_a,SV14: x_a > $o,SV240: x_a,SV131: x_a > $o] :
( ( ( ~ ( SV131 @ SV240 )
| ~ ( SV14 @ SV240 ) )
= $false )
| ( ( SV131 @ SV240 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3087]) ).
thf(3139,plain,
! [SV76: x_a,SV14: x_a > $o,SV240: x_a,SV131: x_a > $o] :
( ( ( ~ ( SV131 @ SV240 )
| ~ ( SV14 @ SV240 ) )
= $false )
| ( ( SV14 @ SV240 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3088]) ).
thf(3140,plain,
! [SV14: x_a > $o,SV76: x_a,SV236: x_a,SV131: x_a > $o] :
( ( ( SV131 @ SV236 )
= $true )
| ( ( SV131 @ SV236 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3089]) ).
thf(3141,plain,
! [SV76: x_a,SV131: x_a > $o,SV236: x_a,SV14: x_a > $o] :
( ( ( SV14 @ SV236 )
= $true )
| ( ( SV131 @ SV236 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3090]) ).
thf(3142,plain,
! [SV76: x_a,SV14: x_a > $o,SV236: x_a,SV131: x_a > $o] :
( ( ( SV131 @ SV236 )
= $true )
| ( ( SV14 @ SV236 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3091]) ).
thf(3143,plain,
! [SV131: x_a > $o,SV76: x_a,SV236: x_a,SV14: x_a > $o] :
( ( ( SV14 @ SV236 )
= $true )
| ( ( SV14 @ SV236 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 )
= ( insert_a @ SV76 @ SV14 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3092]) ).
thf(3144,plain,
! [SV14: x_a > $o,SV245: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( ( insert_a @ SV76 @ SV131 @ SV245 )
| ( insert_a @ SV76 @ SV14 @ SV245 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV76 @ SV131 @ SV245 )
| ~ ( insert_a @ SV76 @ SV14 @ SV245 ) ) )
= $true )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3093]) ).
thf(3145,plain,
! [SV14: x_a > $o,SV249: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 @ SV249 )
= ( insert_a @ SV76 @ SV14 @ SV249 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3095]) ).
thf(3146,plain,
! [SV14: x_a > $o,SV241: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV131 @ SV241 )
| ~ ( insert_a @ SV76 @ SV14 @ SV241 ) )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ SV241 )
= $false )
| ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3097]) ).
thf(3147,plain,
! [SV14: x_a > $o,SV241: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV131 @ SV241 )
| ~ ( insert_a @ SV76 @ SV14 @ SV241 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ SV241 )
= $false )
| ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3098]) ).
thf(3148,plain,
! [SV14: x_a > $o,SV237: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV131 @ SV237 )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ SV237 )
= $false )
| ( ( SV131 = SV14 )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3099]) ).
thf(3149,plain,
! [SV131: x_a > $o,SV237: x_a,SV14: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV14 @ SV237 )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ SV237 )
= $false )
| ( ( SV131 = SV14 )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3100]) ).
thf(3150,plain,
! [SV14: x_a > $o,SV237: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV131 @ SV237 )
= $true )
| ( ( insert_a @ SV76 @ SV14 @ SV237 )
= $false )
| ( ( SV131 = SV14 )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3101]) ).
thf(3151,plain,
! [SV131: x_a > $o,SV237: x_a,SV14: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV14 @ SV237 )
= $true )
| ( ( insert_a @ SV76 @ SV14 @ SV237 )
= $false )
| ( ( SV131 = SV14 )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3102]) ).
thf(3152,plain,
! [SV89: x_a,SV140: x_a,SV166: x_a,SV30: x_a] :
( ( ( SV30 = SV166 )
= $true )
| ( ( SV30 = SV140 )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3103]) ).
thf(3153,plain,
! [SV166: x_a,SV30: x_a,SV140: x_a,SV89: x_a] :
( ( ( SV89 = SV140 )
= $true )
| ( ( SV30 = SV140 )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3104]) ).
thf(3154,plain,
! [SV140: x_a,SV89: x_a,SV166: x_a,SV30: x_a] :
( ( ( SV30 = SV166 )
= $true )
| ( ( SV89 = SV166 )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3105]) ).
thf(3155,plain,
! [SV30: x_a,SV166: x_a,SV140: x_a,SV89: x_a] :
( ( ( SV89 = SV140 )
= $true )
| ( ( SV89 = SV166 )
= $true )
| ( ( insert_a @ SV30 @ ( insert_a @ SV89 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false )
| ( ( insert_a @ SV140 @ ( insert_a @ SV166 @ bot_bot_a_o ) @ ( sK20_SV207 @ SV166 @ SV140 @ SV89 @ SV30 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3106]) ).
thf(3156,plain,
! [SV76: x_a,SV14: x_a > $o,SV244: x_a,SV131: x_a > $o] :
( ( ( ( SV131 @ SV244 )
| ( SV14 @ SV244 ) )
= $false )
| ( ( ~ ( ~ ( SV131 @ SV244 )
| ~ ( SV14 @ SV244 ) ) )
= $true )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3136]) ).
thf(3157,plain,
! [SV76: x_a,SV14: x_a > $o,SV248: x_a,SV131: x_a > $o] :
( ( ( ~ ( ( SV131 @ SV248 )
| ( SV14 @ SV248 ) )
| ~ ( ~ ( SV131 @ SV248 )
| ~ ( SV14 @ SV248 ) ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3137]) ).
thf(3158,plain,
! [SV76: x_a,SV14: x_a > $o,SV248: x_a,SV131: x_a > $o] :
( ( ( ( SV131 @ SV248 )
= ( SV14 @ SV248 ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3137]) ).
thf(3159,plain,
! [SV14: x_a > $o,SV76: x_a,SV240: x_a,SV131: x_a > $o] :
( ( ( ~ ( SV131 @ SV240 ) )
= $false )
| ( ( SV131 @ SV240 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3138]) ).
thf(3160,plain,
! [SV76: x_a,SV131: x_a > $o,SV240: x_a,SV14: x_a > $o] :
( ( ( ~ ( SV14 @ SV240 ) )
= $false )
| ( ( SV131 @ SV240 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3138]) ).
thf(3161,plain,
! [SV76: x_a,SV14: x_a > $o,SV240: x_a,SV131: x_a > $o] :
( ( ( ~ ( SV131 @ SV240 ) )
= $false )
| ( ( SV14 @ SV240 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3139]) ).
thf(3162,plain,
! [SV131: x_a > $o,SV76: x_a,SV240: x_a,SV14: x_a > $o] :
( ( ( ~ ( SV14 @ SV240 ) )
= $false )
| ( ( SV14 @ SV240 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3139]) ).
thf(3163,plain,
! [SV14: x_a > $o,SV245: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 @ SV245 )
| ( insert_a @ SV76 @ SV14 @ SV245 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV76 @ SV131 @ SV245 )
| ~ ( insert_a @ SV76 @ SV14 @ SV245 ) ) )
= $true )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3144]) ).
thf(3164,plain,
! [SV14: x_a > $o,SV249: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( ( insert_a @ SV76 @ SV131 @ SV249 )
| ( insert_a @ SV76 @ SV14 @ SV249 ) )
| ~ ( ~ ( insert_a @ SV76 @ SV131 @ SV249 )
| ~ ( insert_a @ SV76 @ SV14 @ SV249 ) ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3145]) ).
thf(3165,plain,
! [SV14: x_a > $o,SV249: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 @ SV249 )
= ( insert_a @ SV76 @ SV14 @ SV249 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3145]) ).
thf(3166,plain,
! [SV14: x_a > $o,SV241: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV131 @ SV241 ) )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ SV241 )
= $false )
| ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3146]) ).
thf(3167,plain,
! [SV131: x_a > $o,SV241: x_a,SV14: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV14 @ SV241 ) )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ SV241 )
= $false )
| ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3146]) ).
thf(3168,plain,
! [SV14: x_a > $o,SV241: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV131 @ SV241 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ SV241 )
= $false )
| ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3147]) ).
thf(3169,plain,
! [SV131: x_a > $o,SV241: x_a,SV14: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV14 @ SV241 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ SV241 )
= $false )
| ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3147]) ).
thf(3170,plain,
! [SV76: x_a,SV14: x_a > $o,SV244: x_a,SV131: x_a > $o] :
( ( ( SV131 @ SV244 )
= $false )
| ( ( ~ ( ~ ( SV131 @ SV244 )
| ~ ( SV14 @ SV244 ) ) )
= $true )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3156]) ).
thf(3171,plain,
! [SV76: x_a,SV131: x_a > $o,SV244: x_a,SV14: x_a > $o] :
( ( ( SV14 @ SV244 )
= $false )
| ( ( ~ ( ~ ( SV131 @ SV244 )
| ~ ( SV14 @ SV244 ) ) )
= $true )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3156]) ).
thf(3172,plain,
! [SV76: x_a,SV14: x_a > $o,SV248: x_a,SV131: x_a > $o] :
( ( ( ~ ( ( SV131 @ SV248 )
| ( SV14 @ SV248 ) ) )
= $true )
| ( ( ~ ( ~ ( SV131 @ SV248 )
| ~ ( SV14 @ SV248 ) ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3157]) ).
thf(3173,plain,
! [SV14: x_a > $o,SV76: x_a,SV240: x_a,SV131: x_a > $o] :
( ( ( SV131 @ SV240 )
= $true )
| ( ( SV131 @ SV240 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3159]) ).
thf(3174,plain,
! [SV76: x_a,SV131: x_a > $o,SV240: x_a,SV14: x_a > $o] :
( ( ( SV14 @ SV240 )
= $true )
| ( ( SV131 @ SV240 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3160]) ).
thf(3175,plain,
! [SV76: x_a,SV14: x_a > $o,SV240: x_a,SV131: x_a > $o] :
( ( ( SV131 @ SV240 )
= $true )
| ( ( SV14 @ SV240 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3161]) ).
thf(3176,plain,
! [SV131: x_a > $o,SV76: x_a,SV240: x_a,SV14: x_a > $o] :
( ( ( SV14 @ SV240 )
= $true )
| ( ( SV14 @ SV240 )
= $false )
| ( ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3162]) ).
thf(3177,plain,
! [SV14: x_a > $o,SV245: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV131 @ SV245 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV76 @ SV131 @ SV245 )
| ~ ( insert_a @ SV76 @ SV14 @ SV245 ) ) )
= $true )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3163]) ).
thf(3178,plain,
! [SV131: x_a > $o,SV245: x_a,SV14: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV14 @ SV245 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV76 @ SV131 @ SV245 )
| ~ ( insert_a @ SV76 @ SV14 @ SV245 ) ) )
= $true )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3163]) ).
thf(3179,plain,
! [SV14: x_a > $o,SV249: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( ( insert_a @ SV76 @ SV131 @ SV249 )
| ( insert_a @ SV76 @ SV14 @ SV249 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV76 @ SV131 @ SV249 )
| ~ ( insert_a @ SV76 @ SV14 @ SV249 ) ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3164]) ).
thf(3180,plain,
! [SV14: x_a > $o,SV241: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV131 @ SV241 )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ SV241 )
= $false )
| ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3166]) ).
thf(3181,plain,
! [SV131: x_a > $o,SV241: x_a,SV14: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV14 @ SV241 )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ SV241 )
= $false )
| ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3167]) ).
thf(3182,plain,
! [SV14: x_a > $o,SV241: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV131 @ SV241 )
= $true )
| ( ( insert_a @ SV76 @ SV14 @ SV241 )
= $false )
| ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3168]) ).
thf(3183,plain,
! [SV131: x_a > $o,SV241: x_a,SV14: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV14 @ SV241 )
= $true )
| ( ( insert_a @ SV76 @ SV14 @ SV241 )
= $false )
| ( ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3169]) ).
thf(3184,plain,
! [SV76: x_a,SV14: x_a > $o,SV244: x_a,SV131: x_a > $o] :
( ( ( ~ ( SV131 @ SV244 )
| ~ ( SV14 @ SV244 ) )
= $false )
| ( ( SV131 @ SV244 )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3170]) ).
thf(3185,plain,
! [SV76: x_a,SV14: x_a > $o,SV244: x_a,SV131: x_a > $o] :
( ( ( ~ ( SV131 @ SV244 )
| ~ ( SV14 @ SV244 ) )
= $false )
| ( ( SV14 @ SV244 )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3171]) ).
thf(3186,plain,
! [SV76: x_a,SV14: x_a > $o,SV248: x_a,SV131: x_a > $o] :
( ( ( ( SV131 @ SV248 )
| ( SV14 @ SV248 ) )
= $false )
| ( ( ~ ( ~ ( SV131 @ SV248 )
| ~ ( SV14 @ SV248 ) ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3172]) ).
thf(3187,plain,
! [SV14: x_a > $o,SV245: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV131 @ SV245 )
| ~ ( insert_a @ SV76 @ SV14 @ SV245 ) )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ SV245 )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3177]) ).
thf(3188,plain,
! [SV14: x_a > $o,SV245: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV131 @ SV245 )
| ~ ( insert_a @ SV76 @ SV14 @ SV245 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ SV245 )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3178]) ).
thf(3189,plain,
! [SV14: x_a > $o,SV249: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ( insert_a @ SV76 @ SV131 @ SV249 )
| ( insert_a @ SV76 @ SV14 @ SV249 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV76 @ SV131 @ SV249 )
| ~ ( insert_a @ SV76 @ SV14 @ SV249 ) ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3179]) ).
thf(3190,plain,
! [SV14: x_a > $o,SV76: x_a,SV244: x_a,SV131: x_a > $o] :
( ( ( ~ ( SV131 @ SV244 ) )
= $false )
| ( ( SV131 @ SV244 )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3184]) ).
thf(3191,plain,
! [SV76: x_a,SV131: x_a > $o,SV244: x_a,SV14: x_a > $o] :
( ( ( ~ ( SV14 @ SV244 ) )
= $false )
| ( ( SV131 @ SV244 )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3184]) ).
thf(3192,plain,
! [SV76: x_a,SV14: x_a > $o,SV244: x_a,SV131: x_a > $o] :
( ( ( ~ ( SV131 @ SV244 ) )
= $false )
| ( ( SV14 @ SV244 )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3185]) ).
thf(3193,plain,
! [SV131: x_a > $o,SV76: x_a,SV244: x_a,SV14: x_a > $o] :
( ( ( ~ ( SV14 @ SV244 ) )
= $false )
| ( ( SV14 @ SV244 )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3185]) ).
thf(3194,plain,
! [SV76: x_a,SV14: x_a > $o,SV248: x_a,SV131: x_a > $o] :
( ( ( SV131 @ SV248 )
= $false )
| ( ( ~ ( ~ ( SV131 @ SV248 )
| ~ ( SV14 @ SV248 ) ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3186]) ).
thf(3195,plain,
! [SV76: x_a,SV131: x_a > $o,SV248: x_a,SV14: x_a > $o] :
( ( ( SV14 @ SV248 )
= $false )
| ( ( ~ ( ~ ( SV131 @ SV248 )
| ~ ( SV14 @ SV248 ) ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3186]) ).
thf(3196,plain,
! [SV14: x_a > $o,SV245: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV131 @ SV245 ) )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ SV245 )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3187]) ).
thf(3197,plain,
! [SV131: x_a > $o,SV245: x_a,SV14: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV14 @ SV245 ) )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ SV245 )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3187]) ).
thf(3198,plain,
! [SV14: x_a > $o,SV245: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV131 @ SV245 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ SV245 )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3188]) ).
thf(3199,plain,
! [SV131: x_a > $o,SV245: x_a,SV14: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV14 @ SV245 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ SV245 )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3188]) ).
thf(3200,plain,
! [SV14: x_a > $o,SV249: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV131 @ SV249 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV76 @ SV131 @ SV249 )
| ~ ( insert_a @ SV76 @ SV14 @ SV249 ) ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3189]) ).
thf(3201,plain,
! [SV131: x_a > $o,SV249: x_a,SV14: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV14 @ SV249 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV76 @ SV131 @ SV249 )
| ~ ( insert_a @ SV76 @ SV14 @ SV249 ) ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3189]) ).
thf(3202,plain,
! [SV14: x_a > $o,SV76: x_a,SV244: x_a,SV131: x_a > $o] :
( ( ( SV131 @ SV244 )
= $true )
| ( ( SV131 @ SV244 )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3190]) ).
thf(3203,plain,
! [SV76: x_a,SV131: x_a > $o,SV244: x_a,SV14: x_a > $o] :
( ( ( SV14 @ SV244 )
= $true )
| ( ( SV131 @ SV244 )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3191]) ).
thf(3204,plain,
! [SV76: x_a,SV14: x_a > $o,SV244: x_a,SV131: x_a > $o] :
( ( ( SV131 @ SV244 )
= $true )
| ( ( SV14 @ SV244 )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3192]) ).
thf(3205,plain,
! [SV131: x_a > $o,SV76: x_a,SV244: x_a,SV14: x_a > $o] :
( ( ( SV14 @ SV244 )
= $true )
| ( ( SV14 @ SV244 )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3193]) ).
thf(3206,plain,
! [SV76: x_a,SV14: x_a > $o,SV248: x_a,SV131: x_a > $o] :
( ( ( ~ ( SV131 @ SV248 )
| ~ ( SV14 @ SV248 ) )
= $false )
| ( ( SV131 @ SV248 )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3194]) ).
thf(3207,plain,
! [SV76: x_a,SV14: x_a > $o,SV248: x_a,SV131: x_a > $o] :
( ( ( ~ ( SV131 @ SV248 )
| ~ ( SV14 @ SV248 ) )
= $false )
| ( ( SV14 @ SV248 )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3195]) ).
thf(3208,plain,
! [SV14: x_a > $o,SV245: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV131 @ SV245 )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ SV245 )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3196]) ).
thf(3209,plain,
! [SV131: x_a > $o,SV245: x_a,SV14: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV14 @ SV245 )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ SV245 )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3197]) ).
thf(3210,plain,
! [SV14: x_a > $o,SV245: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV131 @ SV245 )
= $true )
| ( ( insert_a @ SV76 @ SV14 @ SV245 )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3198]) ).
thf(3211,plain,
! [SV131: x_a > $o,SV245: x_a,SV14: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV14 @ SV245 )
= $true )
| ( ( insert_a @ SV76 @ SV14 @ SV245 )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $true )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3199]) ).
thf(3212,plain,
! [SV14: x_a > $o,SV249: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV131 @ SV249 )
| ~ ( insert_a @ SV76 @ SV14 @ SV249 ) )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ SV249 )
= $false )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3200]) ).
thf(3213,plain,
! [SV14: x_a > $o,SV249: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV131 @ SV249 )
| ~ ( insert_a @ SV76 @ SV14 @ SV249 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ SV249 )
= $false )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3201]) ).
thf(3214,plain,
! [SV14: x_a > $o,SV76: x_a,SV248: x_a,SV131: x_a > $o] :
( ( ( ~ ( SV131 @ SV248 ) )
= $false )
| ( ( SV131 @ SV248 )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3206]) ).
thf(3215,plain,
! [SV76: x_a,SV131: x_a > $o,SV248: x_a,SV14: x_a > $o] :
( ( ( ~ ( SV14 @ SV248 ) )
= $false )
| ( ( SV131 @ SV248 )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3206]) ).
thf(3216,plain,
! [SV76: x_a,SV14: x_a > $o,SV248: x_a,SV131: x_a > $o] :
( ( ( ~ ( SV131 @ SV248 ) )
= $false )
| ( ( SV14 @ SV248 )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3207]) ).
thf(3217,plain,
! [SV131: x_a > $o,SV76: x_a,SV248: x_a,SV14: x_a > $o] :
( ( ( ~ ( SV14 @ SV248 ) )
= $false )
| ( ( SV14 @ SV248 )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3207]) ).
thf(3218,plain,
! [SV14: x_a > $o,SV249: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV131 @ SV249 ) )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ SV249 )
= $false )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3212]) ).
thf(3219,plain,
! [SV131: x_a > $o,SV249: x_a,SV14: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV14 @ SV249 ) )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ SV249 )
= $false )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3212]) ).
thf(3220,plain,
! [SV14: x_a > $o,SV249: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV131 @ SV249 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ SV249 )
= $false )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3213]) ).
thf(3221,plain,
! [SV131: x_a > $o,SV249: x_a,SV14: x_a > $o,SV76: x_a] :
( ( ( ~ ( insert_a @ SV76 @ SV14 @ SV249 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ SV249 )
= $false )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3213]) ).
thf(3222,plain,
! [SV14: x_a > $o,SV76: x_a,SV248: x_a,SV131: x_a > $o] :
( ( ( SV131 @ SV248 )
= $true )
| ( ( SV131 @ SV248 )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3214]) ).
thf(3223,plain,
! [SV76: x_a,SV131: x_a > $o,SV248: x_a,SV14: x_a > $o] :
( ( ( SV14 @ SV248 )
= $true )
| ( ( SV131 @ SV248 )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3215]) ).
thf(3224,plain,
! [SV76: x_a,SV14: x_a > $o,SV248: x_a,SV131: x_a > $o] :
( ( ( SV131 @ SV248 )
= $true )
| ( ( SV14 @ SV248 )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3216]) ).
thf(3225,plain,
! [SV131: x_a > $o,SV76: x_a,SV248: x_a,SV14: x_a > $o] :
( ( ( SV14 @ SV248 )
= $true )
| ( ( SV14 @ SV248 )
= $false )
| ( ( insert_a @ SV76 @ SV131 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( insert_a @ SV76 @ SV14 @ ( sK22_SV217 @ SV14 @ SV131 @ SV76 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3217]) ).
thf(3226,plain,
! [SV14: x_a > $o,SV249: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV131 @ SV249 )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ SV249 )
= $false )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3218]) ).
thf(3227,plain,
! [SV131: x_a > $o,SV249: x_a,SV14: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV14 @ SV249 )
= $true )
| ( ( insert_a @ SV76 @ SV131 @ SV249 )
= $false )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3219]) ).
thf(3228,plain,
! [SV14: x_a > $o,SV249: x_a,SV131: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV131 @ SV249 )
= $true )
| ( ( insert_a @ SV76 @ SV14 @ SV249 )
= $false )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3220]) ).
thf(3229,plain,
! [SV131: x_a > $o,SV249: x_a,SV14: x_a > $o,SV76: x_a] :
( ( ( insert_a @ SV76 @ SV14 @ SV249 )
= $true )
| ( ( insert_a @ SV76 @ SV14 @ SV249 )
= $false )
| ( ( SV131 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( SV14 @ ( sK23_SV218 @ SV76 @ SV14 @ SV131 ) )
= $false )
| ( ( member_a @ SV76 @ SV14 )
= $true )
| ( ( member_a @ SV76 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3221]) ).
thf(3230,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1290,3229,3228,3227,3226,3225,3224,3223,3222,3211,3210,3209,3208,3205,3204,3203,3202,3183,3182,3181,3180,3176,3175,3174,3173,3165,3158,3155,3154,3153,3152,3151,3150,3149,3148,3143,3142,3141,3140,3135,3134,3133,3132,3131,3130,3129,3128,3127,3126,3125,3124,3123,3122,3121,3120,3119,3118,3117,3116,3115,3114,3113,3112,3111,3110,3109,3108,3107,3096,3094,3086,3084,3051,3050,3049,3048,3036,3011,3005,2999,2998,2997,2996,2979,2978,2977,2976,2974,2969,2952,2951,2950,2949,2933,2930,2929,2928,2927,2924,2923,2907,2906,2905,2903,2899,2897,2892,2890,2881,2880,2879,2878,2877,2875,2873,2871,2869,2867,2865,2864,2863,2862,2847,2839,2838,2837,2836,2835,2834,2813,2812,2811,2808,2805,2804,2803,2802,2801,2800,2799,2798,2797,2796,2795,2794,2793,2792,2791,2790,2789,2788,2787,2786,2785,2784,2783,2782,2781,2780,2779,2778,2777,2776,2775,2774,2773,2772,2771,2770,2769,2768,2767,2766,2765,2764,2763,2762,2761,2760,2759,2758,2757,2756,2755,2754,2753,2752,2750,2748,2747,2746,2745,2743,2736,2731,2730,2729,2728,2725,2723,2721,2719,2717,2716,2715,2714,2713,2712,2710,2702,2701,2700,2699,2698,2697,2696,2695,2694,2693,2628,2620,2619,2618,2617,2616,2586,2580,2575,2542,2541,2527,2526,2522,2512,2511,2510,2509,2507,2496,2491,2486,2485,2451,2446,2444,2442,2439,2433,2430,2407,2401,2398,2397,2396,2395,2394,2393,2373,2372,2371,2370,2369,2368,2367,2366,2361,2360,2350,2349,2342,2338,2330,2329,2323,2322,2321,2320,2303,2302,2296,2275,2274,2273,2272,2270,2269,2260,2258,2255,2247,2246,2241,2240,2233,2220,2215,2206,2198,2197,2196,2195,2194,2192,2190,2188,2186,2185,2184,2183,2182,2180,2178,2176,2174,2173,2172,2171,2170,2168,2166,2164,2154,2144,2143,2142,2141,2131,2130,2129,2122,2118,2116,2109,2102,2100,2095,2093,2082,2050,2049,2034,2025,2018,2012,2008,2006,2005,2000,1998,1995,1984,1958,1946,1942,1935,1934,1930,1927,1924,1921,1916,1915,1914,1910,1909,1904,1902,1900,1896,1894,1891,1890,1886,1883,1852,1848,1840,1839,1810,1808,1802,1798,1787,1785,1782,1771,1769,1760,1754,1753,1749,1748,1743,1741,1733,1726,1720,1703,1690,1680,1649,1648,1638,1636,1633,1630,1627,1625,1584,1555,1494,1492,1489,1432,1428,1426,1423,1419,1418,1292,1291]) ).
thf(3231,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[3230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW473^3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.19 % Computer : n018.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 17:01:22 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.07/4.20 ........
% 20.07/4.20
% 20.07/4.20 No.of.Axioms: 71
% 20.07/4.20
% 20.07/4.20 Length.of.Defs: 0
% 20.07/4.20
% 20.07/4.20 Contains.Choice.Funs: true
% 20.07/4.20 ....................................................
% 20.07/4.20
% 20.07/4.20 ********************************
% 20.07/4.20 * All subproblems solved! *
% 20.07/4.20 ********************************
% 20.07/4.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:71,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3230,loop_count:0,foatp_calls:1,translation:fof_full)
% 20.07/4.20
% 20.07/4.20 %**** Beginning of derivation protocol ****
% 20.07/4.20 % SZS output start CNFRefutation
% See solution above
% 20.07/4.22
% 20.07/4.22 %**** End of derivation protocol ****
% 20.07/4.22 %**** no. of clauses in derivation: 2088 ****
% 20.07/4.22 %**** clause counter: 3230 ****
% 20.07/4.22
% 20.07/4.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:71,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3230,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------