%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWW473^2 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 11:01:37 AM UTC 2026
% Result : Theorem 13.50s 2.43s
% Output : CNFRefutation 13.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 67
% Syntax : Number of formulae : 1735 ( 443 unt; 0 typ; 0 def)
% Number of atoms : 16488 (5842 equ; 0 cnn)
% Maximal formula atoms : 6 ( 9 avg)
% Number of connectives : 22598 (2841 ~;4199 |; 18 &;15315 @)
% ( 42 <=>; 183 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 2835 (2835 >; 0 *; 0 +; 0 <<)
% Number of symbols : 128 ( 125 usr; 8 con; 0-4 aty)
% Number of variables : 5074 ( 30 ^;5041 !; 3 ?;5074 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_com,type,
com: $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_body,type,
body: pname > option_com ).
thf(tp_bot_bot_a_o,type,
bot_bot_a_o: x_a > $o ).
thf(tp_bot_bot_a_o_o,type,
bot_bot_a_o_o: ( x_a > $o ) > $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_nat_o_o,type,
bot_bot_nat_o_o: ( nat > $o ) > $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_bot_bot_pname_o_o,type,
bot_bot_pname_o_o: ( pname > $o ) > $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_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_fequal_a,type,
fequal_a: x_a > x_a > $o ).
thf(tp_fequal_a_o,type,
fequal_a_o: ( x_a > $o ) > ( x_a > $o ) > $o ).
thf(tp_fequal_nat,type,
fequal_nat: nat > nat > $o ).
thf(tp_fequal_nat_o,type,
fequal_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(tp_fequal_pname,type,
fequal_pname: pname > pname > $o ).
thf(tp_fequal_pname_o,type,
fequal_pname_o: ( pname > $o ) > ( pname > $o ) > $o ).
thf(tp_finite1066544169me_o_o,type,
finite1066544169me_o_o: ( ( ( pname > $o ) > $o ) > $o ) > $o ).
thf(tp_finite1676163439at_o_o,type,
finite1676163439at_o_o: ( ( ( nat > $o ) > $o ) > $o ) > $o ).
thf(tp_finite297249702name_o,type,
finite297249702name_o: ( ( pname > $o ) > $o ) > $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_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_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_g,type,
g: x_a > $o ).
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_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_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_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_nat,type,
image_nat_nat: ( nat > nat ) > ( nat > $o ) > nat > $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_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_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_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_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_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_nat,type,
minus_minus_nat: nat > nat > nat ).
thf(tp_na,type,
na: nat ).
thf(tp_nat_case_o,type,
nat_case_o: $o > ( nat > $o ) > nat > $o ).
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_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_nat,type,
ord_less_nat: nat > nat > $o ).
thf(tp_p,type,
p: ( x_a > $o ) > ( x_a > $o ) > $o ).
thf(tp_plus_plus_nat,type,
plus_plus_nat: nat > nat > nat ).
thf(tp_pn,type,
pn: pname ).
thf(tp_sK10_SV168,type,
sK10_SV168: ( x_a > $o ) > ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK11_SV172,type,
sK11_SV172: ( x_a > $o ) > x_a ).
thf(tp_sK12_SY249,type,
sK12_SY249: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK13_SV179,type,
sK13_SV179: ( x_a > $o ) > x_a ).
thf(tp_sK14_SV183,type,
sK14_SV183: ( x_a > $o ) > ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK15_SV187,type,
sK15_SV187: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK16_SV188,type,
sK16_SV188: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK17_SV189,type,
sK17_SV189: ( x_a > $o ) > ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK18_SY280,type,
sK18_SY280: ( pname > x_a ) > ( x_a > $o ) > ( pname > $o ) > pname > $o ).
thf(tp_sK19_SV194,type,
sK19_SV194: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK1_SV152,type,
sK1_SV152: ( x_a > $o ) > x_a > x_a ).
thf(tp_sK20_SV195,type,
sK20_SV195: x_a > x_a > x_a > x_a > x_a ).
thf(tp_sK21_SV203,type,
sK21_SV203: ( x_a > $o ) > ( x_a > $o ) > x_a > x_a ).
thf(tp_sK22_SV204,type,
sK22_SV204: x_a > ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK23_SV221,type,
sK23_SV221: ( pname > $o ) > ( pname > $o ) > ( pname > x_a ) > ( x_a > $o ) > x_a ).
thf(tp_sK2_SV154,type,
sK2_SV154: ( x_a > $o ) > x_a > x_a ).
thf(tp_sK3_SY277,type,
sK3_SY277: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK4_SV159,type,
sK4_SV159: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK5_SV160,type,
sK5_SV160: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK6_SV161,type,
sK6_SV161: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK7_SV162,type,
sK7_SV162: x_a > x_a > x_a ).
thf(tp_sK8_SV163,type,
sK8_SV163: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK9_SV166,type,
sK9_SV166: ( x_a > $o ) > ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_suc,type,
suc: nat > nat ).
thf(tp_the_com,type,
the_com: option_com > com ).
thf(tp_u,type,
u: pname > $o ).
thf(tp_wt,type,
wt: com > $o ).
thf(tp_zero_zero_nat,type,
zero_zero_nat: nat ).
thf(158,axiom,
! [X_3: x_a > $o,Y_2: x_a > $o] :
( ( X_3 = Y_2 )
<=> ( ( ord_less_eq_a_o @ X_3 @ Y_2 )
& ( ord_less_eq_a_o @ Y_2 @ X_3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_554_order__eq__iff) ).
thf(163,axiom,
! [X_4: x_a > $o,Y_3: x_a > $o] :
( ( X_4 = Y_3 )
=> ( ord_less_eq_a_o @ X_4 @ Y_3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_549_order__eq__refl) ).
thf(168,axiom,
! [Y_4: x_a > $o,X_5: x_a > $o] :
( ( ord_less_eq_a_o @ Y_4 @ X_5 )
=> ( ( ord_less_eq_a_o @ X_5 @ Y_4 )
<=> ( X_5 = Y_4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_544_order__antisym__conv) ).
thf(173,axiom,
! [C_1: x_a > $o,A_3: x_a > $o,B_1: x_a > $o] :
( ( A_3 = B_1 )
=> ( ( ord_less_eq_a_o @ B_1 @ C_1 )
=> ( ord_less_eq_a_o @ A_3 @ C_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_539_ord__eq__le__trans) ).
thf(178,axiom,
! [C_2: x_a > $o,A_4: x_a > $o,B_2: x_a > $o] :
( ( A_4 = B_2 )
=> ( ( ord_less_eq_a_o @ C_2 @ B_2 )
=> ( ord_less_eq_a_o @ C_2 @ A_4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_534_xt1_I3_J) ).
thf(183,axiom,
! [C_3: x_a > $o,A_5: x_a > $o,B_3: x_a > $o] :
( ( ord_less_eq_a_o @ A_5 @ B_3 )
=> ( ( B_3 = C_3 )
=> ( ord_less_eq_a_o @ A_5 @ C_3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_529_ord__le__eq__trans) ).
thf(188,axiom,
! [C_4: x_a > $o,B_4: x_a > $o,A_6: x_a > $o] :
( ( ord_less_eq_a_o @ B_4 @ A_6 )
=> ( ( B_4 = C_4 )
=> ( ord_less_eq_a_o @ C_4 @ A_6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_524_xt1_I4_J) ).
thf(193,axiom,
! [X_6: x_a > $o,Y_5: x_a > $o] :
( ( ord_less_eq_a_o @ X_6 @ Y_5 )
=> ( ( ord_less_eq_a_o @ Y_5 @ X_6 )
=> ( X_6 = Y_5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_519_order__antisym) ).
thf(198,axiom,
! [Z_1: x_a > $o,X_7: x_a > $o,Y_6: x_a > $o] :
( ( ord_less_eq_a_o @ X_7 @ Y_6 )
=> ( ( ord_less_eq_a_o @ Y_6 @ Z_1 )
=> ( ord_less_eq_a_o @ X_7 @ Z_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_514_order__trans) ).
thf(203,axiom,
! [Y_7: x_a > $o,X_8: x_a > $o] :
( ( ord_less_eq_a_o @ Y_7 @ X_8 )
=> ( ( ord_less_eq_a_o @ X_8 @ Y_7 )
=> ( X_8 = Y_7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_509_xt1_I5_J) ).
thf(208,axiom,
! [Z_2: x_a > $o,Y_8: x_a > $o,X_9: x_a > $o] :
( ( ord_less_eq_a_o @ Y_8 @ X_9 )
=> ( ( ord_less_eq_a_o @ Z_2 @ Y_8 )
=> ( ord_less_eq_a_o @ Z_2 @ X_9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_504_xt1_I6_J) ).
thf(216,axiom,
! [A_9: x_a > $o,X_12: x_a] :
( ( ord_less_eq_a_o @ A_9 @ ( insert_a @ X_12 @ bot_bot_a_o ) )
=> ( ( A_9 = bot_bot_a_o )
| ( A_9
= ( insert_a @ X_12 @ bot_bot_a_o ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_496_subset__singletonD) ).
thf(246,axiom,
! [A_16: x_a > $o] :
( ( ord_less_eq_a_o @ A_16 @ bot_bot_a_o )
<=> ( A_16 = bot_bot_a_o ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_466_subset__empty) ).
thf(249,axiom,
! [A_18: x_a,A_17: x_a > $o] :
( bot_bot_a_o
!= ( insert_a @ A_18 @ A_17 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_463_empty__not__insert) ).
thf(252,axiom,
! [A_20: x_a,A_19: x_a > $o] :
( ( insert_a @ A_20 @ A_19 )
!= bot_bot_a_o ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_460_insert__not__empty) ).
thf(258,axiom,
! [A_22: x_a,B_6: x_a,C_7: x_a,D: x_a] :
( ( ( insert_a @ A_22 @ ( insert_a @ B_6 @ bot_bot_a_o ) )
= ( insert_a @ C_7 @ ( insert_a @ D @ bot_bot_a_o ) ) )
<=> ( ( ( A_22 = C_7 )
& ( B_6 = D ) )
| ( ( A_22 = D )
& ( B_6 = C_7 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_454_doubleton__eq__iff) ).
thf(264,axiom,
! [A_24: x_a,B_8: x_a] :
( ( ( insert_a @ A_24 @ bot_bot_a_o )
= ( insert_a @ B_8 @ bot_bot_a_o ) )
=> ( A_24 = B_8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_448_singleton__inject) ).
thf(268,axiom,
! [A_25: x_a > $o] : ( ord_less_eq_a_o @ bot_bot_a_o @ A_25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_444_bot__least) ).
thf(273,axiom,
! [A_26: x_a > $o] :
( ( ord_less_eq_a_o @ A_26 @ bot_bot_a_o )
<=> ( A_26 = bot_bot_a_o ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_439_bot__unique) ).
thf(278,axiom,
! [A_27: x_a > $o] :
( ( ord_less_eq_a_o @ A_27 @ bot_bot_a_o )
=> ( A_27 = bot_bot_a_o ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_434_le__bot) ).
thf(318,axiom,
! [A_32: x_a > $o] : ( ord_less_eq_a_o @ bot_bot_a_o @ A_32 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_394_empty__subsetI) ).
thf(330,axiom,
! [X_14: x_a,F_7: x_a > $o,G_1: x_a > $o] :
( ( ord_less_eq_a_o @ F_7 @ G_1 )
=> ( ord_less_eq_o @ ( F_7 @ X_14 ) @ ( G_1 @ X_14 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_382_le__funE) ).
thf(333,axiom,
! [X_15: x_a,F_8: x_a > $o,G_2: x_a > $o] :
( ( ord_less_eq_a_o @ F_8 @ G_2 )
=> ( ord_less_eq_o @ ( F_8 @ X_15 ) @ ( G_2 @ X_15 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_379_le__funD) ).
thf(336,axiom,
! [F_9: x_a > $o,G_3: x_a > $o] :
( ( ord_less_eq_a_o @ F_9 @ G_3 )
<=> ! [X_1: x_a] : ( ord_less_eq_o @ ( F_9 @ X_1 ) @ ( G_3 @ X_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_376_le__fun__def) ).
thf(342,axiom,
! [X_16: x_a > $o] : ( ord_less_eq_a_o @ X_16 @ X_16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_370_order__refl) ).
thf(353,axiom,
! [B_10: x_a > $o,A_35: x_a > $o] :
( ! [X_1: x_a] :
( ( member_a @ X_1 @ A_35 )
=> ( member_a @ X_1 @ B_10 ) )
=> ( ord_less_eq_a_o @ A_35 @ B_10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_359_subsetI) ).
thf(361,axiom,
! [F_12: pname > x_a,A_37: pname > $o,B_12: pname > $o] :
( ( ord_less_eq_pname_o @ A_37 @ B_12 )
=> ( ord_less_eq_a_o @ ( image_pname_a @ F_12 @ A_37 ) @ ( image_pname_a @ F_12 @ B_12 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_351_image__mono) ).
thf(365,axiom,
! [B_13: x_a > $o,F_13: pname > x_a,A_38: pname > $o] :
( ( ord_less_eq_a_o @ B_13 @ ( image_pname_a @ F_13 @ A_38 ) )
<=> ? [AA: pname > $o] :
( ( ord_less_eq_pname_o @ AA @ A_38 )
& ( B_13
= ( image_pname_a @ F_13 @ AA ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_347_subset__image__iff) ).
thf(369,axiom,
! [F_14: pname > x_a,X_17: pname,A_39: pname > $o] :
( ( member_pname @ X_17 @ A_39 )
=> ( ( insert_a @ ( F_14 @ X_17 ) @ ( image_pname_a @ F_14 @ A_39 ) )
= ( image_pname_a @ F_14 @ A_39 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_343_insert__image) ).
thf(375,axiom,
! [F_15: pname > x_a,A_40: pname,B_14: pname > $o] :
( ( image_pname_a @ F_15 @ ( insert_pname @ A_40 @ B_14 ) )
= ( insert_a @ ( F_15 @ A_40 ) @ ( image_pname_a @ F_15 @ B_14 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_337_image__insert) ).
thf(379,axiom,
! [A_41: x_a,C_9: x_a > $o,D_1: x_a > $o] :
( ( ord_less_eq_a_o @ C_9 @ D_1 )
=> ( ord_less_eq_a_o @ ( insert_a @ A_41 @ C_9 ) @ ( insert_a @ A_41 @ D_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_333_insert__mono) ).
thf(382,axiom,
! [B_16: x_a,A_42: x_a > $o,B_15: x_a > $o] :
( ( ord_less_eq_a_o @ A_42 @ B_15 )
=> ( ord_less_eq_a_o @ A_42 @ ( insert_a @ B_16 @ B_15 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_330_subset__insertI2) ).
thf(385,axiom,
! [B_17: x_a > $o,X_18: x_a,A_43: x_a > $o] :
( ~ ( member_a @ X_18 @ A_43 )
=> ( ( ord_less_eq_a_o @ A_43 @ ( insert_a @ X_18 @ B_17 ) )
<=> ( ord_less_eq_a_o @ A_43 @ B_17 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_327_subset__insert) ).
thf(388,axiom,
! [X_19: x_a,A_44: x_a > $o,B_18: x_a > $o] :
( ( ord_less_eq_a_o @ ( insert_a @ X_19 @ A_44 ) @ B_18 )
<=> ( ( member_a @ X_19 @ B_18 )
& ( ord_less_eq_a_o @ A_44 @ B_18 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_324_insert__subset) ).
thf(391,axiom,
! [B_19: x_a > $o,A_45: x_a] : ( ord_less_eq_a_o @ B_19 @ ( insert_a @ A_45 @ B_19 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_321_subset__insertI) ).
thf(411,axiom,
! [A_49: x_a > $o,B_21: x_a > $o] :
( ( A_49 = B_21 )
=> ~ ( ( ord_less_eq_a_o @ A_49 @ B_21 )
=> ~ ( ord_less_eq_a_o @ B_21 @ A_49 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_301_equalityE) ).
thf(414,axiom,
! [C_10: x_a > $o,A_50: x_a > $o,B_22: x_a > $o] :
( ( ord_less_eq_a_o @ A_50 @ B_22 )
=> ( ( ord_less_eq_a_o @ B_22 @ C_10 )
=> ( ord_less_eq_a_o @ A_50 @ C_10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_298_subset__trans) ).
thf(426,axiom,
! [X_23: x_a,A_52: x_a > $o,B_23: x_a > $o] :
( ( ord_less_eq_a_o @ A_52 @ B_23 )
=> ( ( member_a @ X_23 @ A_52 )
=> ( member_a @ X_23 @ B_23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_286_set__mp) ).
thf(429,axiom,
! [B_24: x_a > $o,X_24: x_a,A_53: x_a > $o] :
( ( member_a @ X_24 @ A_53 )
=> ( ( ord_less_eq_a_o @ A_53 @ B_24 )
=> ( member_a @ X_24 @ B_24 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_283_set__rev__mp) ).
thf(432,axiom,
! [X_25: x_a,A_54: x_a > $o,B_25: x_a > $o] :
( ( ord_less_eq_a_o @ A_54 @ B_25 )
=> ( ( member_a @ X_25 @ A_54 )
=> ( member_a @ X_25 @ B_25 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_280_in__mono) ).
thf(435,axiom,
! [A_55: x_a > $o,B_26: x_a > $o] :
( ( A_55 = B_26 )
=> ( ord_less_eq_a_o @ B_26 @ A_55 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_277_equalityD2) ).
thf(438,axiom,
! [A_56: x_a > $o,B_27: x_a > $o] :
( ( A_56 = B_27 )
=> ( ord_less_eq_a_o @ A_56 @ B_27 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_274_equalityD1) ).
thf(441,axiom,
! [A_57: x_a > $o,B_28: x_a > $o] :
( ( A_57 = B_28 )
<=> ( ( ord_less_eq_a_o @ A_57 @ B_28 )
& ( ord_less_eq_a_o @ B_28 @ A_57 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_271_set__eq__subset) ).
thf(444,axiom,
! [A_58: x_a > $o] : ( ord_less_eq_a_o @ A_58 @ A_58 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_268_subset__refl) ).
thf(447,axiom,
! [A_60: x_a,A_59: x_a > $o] :
( ( member_a @ A_60 @ A_59 )
=> ( ( insert_a @ A_60 @ A_59 )
= A_59 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_265_insert__absorb) ).
thf(450,axiom,
! [B_30: x_a,A_61: x_a,B_29: x_a > $o] :
( ( member_a @ A_61 @ B_29 )
=> ( member_a @ A_61 @ ( insert_a @ B_30 @ B_29 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_262_insertI2) ).
thf(453,axiom,
! [B_31: x_a > $o,X_26: x_a,A_62: x_a > $o] :
( ~ ( member_a @ X_26 @ A_62 )
=> ( ~ ( member_a @ X_26 @ B_31 )
=> ( ( ( insert_a @ X_26 @ A_62 )
= ( insert_a @ X_26 @ B_31 ) )
<=> ( A_62 = B_31 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_259_insert__ident) ).
thf(456,axiom,
! [Y_11: x_a,A_63: x_a > $o,X_27: x_a] :
( ( insert_a @ Y_11 @ A_63 @ X_27 )
<=> ( ( Y_11 = X_27 )
| ( A_63 @ X_27 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_256_insert__code) ).
thf(459,axiom,
! [A_65: x_a,B_32: x_a,A_64: x_a > $o] :
( ( member_a @ A_65 @ ( insert_a @ B_32 @ A_64 ) )
<=> ( ( A_65 = B_32 )
| ( member_a @ A_65 @ A_64 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_253_insert__iff) ).
thf(462,axiom,
! [X_28: x_a,Y_12: x_a,A_66: x_a > $o] :
( ( insert_a @ X_28 @ ( insert_a @ Y_12 @ A_66 ) )
= ( insert_a @ Y_12 @ ( insert_a @ X_28 @ A_66 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_250_insert__commute) ).
thf(465,axiom,
! [X_29: x_a,A_67: x_a > $o] :
( ( insert_a @ X_29 @ ( insert_a @ X_29 @ A_67 ) )
= ( insert_a @ X_29 @ A_67 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_247_insert__absorb2) ).
thf(468,axiom,
! [A_68: x_a,P_8: x_a > $o] :
( ( insert_a @ A_68 @ ( collect_a @ P_8 ) )
= ( collect_a
@ ^ [U_1: x_a] :
( ( U_1 != A_68 )
=> ( P_8 @ U_1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_244_insert__Collect) ).
thf(480,axiom,
! [A_70: x_a,B_34: x_a > $o] : ( member_a @ A_70 @ ( insert_a @ A_70 @ B_34 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_232_insertI1) ).
thf(485,axiom,
! [A_72: x_a,B_35: x_a,A_71: x_a > $o] :
( ( member_a @ A_72 @ ( insert_a @ B_35 @ A_71 ) )
=> ( ( A_72 != B_35 )
=> ( member_a @ A_72 @ A_71 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_227_insertE) ).
thf(488,axiom,
! [B_37: x_a,A_73: x_a,B_36: x_a > $o] :
( ( ~ ( member_a @ A_73 @ B_36 )
=> ( A_73 = B_37 ) )
=> ( member_a @ A_73 @ ( insert_a @ B_37 @ B_36 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_224_insertCI) ).
thf(491,axiom,
! [C_11: x_a,A_74: x_a > $o,B_38: x_a > $o] :
( ( ord_less_eq_a_o @ A_74 @ B_38 )
=> ( ( member_a @ C_11 @ A_74 )
=> ( member_a @ C_11 @ B_38 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_221_subsetD) ).
thf(494,axiom,
! [A_75: x_a > $o,B_39: x_a > $o] :
( ( ord_less_eq_a_o @ A_75 @ B_39 )
=> ( ( ord_less_eq_a_o @ B_39 @ A_75 )
=> ( A_75 = B_39 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_218_equalityI) ).
thf(600,axiom,
! [A_80: x_a > $o,B_43: x_a > $o] :
( ( finite_finite_a @ B_43 )
=> ( ( ord_less_eq_a_o @ A_80 @ B_43 )
=> ( finite_finite_a @ A_80 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_112_rev__finite__subset) ).
thf(606,axiom,
! [A_81: x_a > $o,B_44: x_a > $o] :
( ( ord_less_eq_a_o @ A_81 @ B_44 )
=> ( ( finite_finite_a @ B_44 )
=> ( finite_finite_a @ A_81 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_106_finite__subset) ).
thf(610,axiom,
! [A_83: x_a,A_82: x_a > $o] :
( ( finite_finite_a @ ( insert_a @ A_83 @ A_82 ) )
<=> ( finite_finite_a @ A_82 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_102_finite__insert) ).
thf(684,axiom,
! [A_91: x_a,A_90: x_a > $o] :
( ( finite_finite_a @ A_90 )
=> ( finite_finite_a @ ( insert_a @ A_91 @ A_90 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_finite_OinsertI) ).
thf(712,axiom,
! [Ts: x_a > $o,G: x_a > $o] :
( ( ord_less_eq_a_o @ Ts @ G )
=> ( p @ G @ Ts ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms_I1_J) ).
thf(713,axiom,
~ ( member_a @ ( mgt_call @ pn ) @ g ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).
thf(714,axiom,
member_pname @ pn @ u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
thf(717,axiom,
ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(718,axiom,
finite_finite_pname @ u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(719,conjecture,
ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).
thf(720,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)],[719]) ).
thf(721,plain,
( ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) )
= $false ),
inference(unfold_def,[status(thm)],[720]) ).
thf(722,plain,
( ( ! [X_3: x_a > $o,Y_2: x_a > $o] :
( ( X_3 = Y_2 )
<=> ( ( ord_less_eq_a_o @ X_3 @ Y_2 )
& ( ord_less_eq_a_o @ Y_2 @ X_3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(723,plain,
( ( ! [X_4: x_a > $o,Y_3: x_a > $o] :
( ( X_4 = Y_3 )
=> ( ord_less_eq_a_o @ X_4 @ Y_3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(724,plain,
( ( ! [Y_4: x_a > $o,X_5: x_a > $o] :
( ( ord_less_eq_a_o @ Y_4 @ X_5 )
=> ( ( ord_less_eq_a_o @ X_5 @ Y_4 )
<=> ( X_5 = Y_4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(725,plain,
( ( ! [C_1: x_a > $o,A_3: x_a > $o,B_1: x_a > $o] :
( ( A_3 = B_1 )
=> ( ( ord_less_eq_a_o @ B_1 @ C_1 )
=> ( ord_less_eq_a_o @ A_3 @ C_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(726,plain,
( ( ! [C_2: x_a > $o,A_4: x_a > $o,B_2: x_a > $o] :
( ( A_4 = B_2 )
=> ( ( ord_less_eq_a_o @ C_2 @ B_2 )
=> ( ord_less_eq_a_o @ C_2 @ A_4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(727,plain,
( ( ! [C_3: x_a > $o,A_5: x_a > $o,B_3: x_a > $o] :
( ( ord_less_eq_a_o @ A_5 @ B_3 )
=> ( ( B_3 = C_3 )
=> ( ord_less_eq_a_o @ A_5 @ C_3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(728,plain,
( ( ! [C_4: x_a > $o,B_4: x_a > $o,A_6: x_a > $o] :
( ( ord_less_eq_a_o @ B_4 @ A_6 )
=> ( ( B_4 = C_4 )
=> ( ord_less_eq_a_o @ C_4 @ A_6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[188]) ).
thf(729,plain,
( ( ! [X_6: x_a > $o,Y_5: x_a > $o] :
( ( ord_less_eq_a_o @ X_6 @ Y_5 )
=> ( ( ord_less_eq_a_o @ Y_5 @ X_6 )
=> ( X_6 = Y_5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(730,plain,
( ( ! [Z_1: x_a > $o,X_7: x_a > $o,Y_6: x_a > $o] :
( ( ord_less_eq_a_o @ X_7 @ Y_6 )
=> ( ( ord_less_eq_a_o @ Y_6 @ Z_1 )
=> ( ord_less_eq_a_o @ X_7 @ Z_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[198]) ).
thf(731,plain,
( ( ! [Y_7: x_a > $o,X_8: x_a > $o] :
( ( ord_less_eq_a_o @ Y_7 @ X_8 )
=> ( ( ord_less_eq_a_o @ X_8 @ Y_7 )
=> ( X_8 = Y_7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[203]) ).
thf(732,plain,
( ( ! [Z_2: x_a > $o,Y_8: x_a > $o,X_9: x_a > $o] :
( ( ord_less_eq_a_o @ Y_8 @ X_9 )
=> ( ( ord_less_eq_a_o @ Z_2 @ Y_8 )
=> ( ord_less_eq_a_o @ Z_2 @ X_9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[208]) ).
thf(733,plain,
( ( ! [A_9: x_a > $o,X_12: x_a] :
( ( ord_less_eq_a_o @ A_9 @ ( insert_a @ X_12 @ bot_bot_a_o ) )
=> ( ( A_9 = bot_bot_a_o )
| ( A_9
= ( insert_a @ X_12 @ bot_bot_a_o ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[216]) ).
thf(734,plain,
( ( ! [A_16: x_a > $o] :
( ( ord_less_eq_a_o @ A_16 @ bot_bot_a_o )
<=> ( A_16 = bot_bot_a_o ) ) )
= $true ),
inference(unfold_def,[status(thm)],[246]) ).
thf(735,plain,
( ( ! [A_18: x_a,A_17: x_a > $o] :
( bot_bot_a_o
!= ( insert_a @ A_18 @ A_17 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[249]) ).
thf(736,plain,
( ( ! [A_20: x_a,A_19: x_a > $o] :
( ( insert_a @ A_20 @ A_19 )
!= bot_bot_a_o ) )
= $true ),
inference(unfold_def,[status(thm)],[252]) ).
thf(737,plain,
( ( ! [A_22: x_a,B_6: x_a,C_7: x_a,D: x_a] :
( ( ( insert_a @ A_22 @ ( insert_a @ B_6 @ bot_bot_a_o ) )
= ( insert_a @ C_7 @ ( insert_a @ D @ bot_bot_a_o ) ) )
<=> ( ( ( A_22 = C_7 )
& ( B_6 = D ) )
| ( ( A_22 = D )
& ( B_6 = C_7 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(738,plain,
( ( ! [A_24: x_a,B_8: x_a] :
( ( ( insert_a @ A_24 @ bot_bot_a_o )
= ( insert_a @ B_8 @ bot_bot_a_o ) )
=> ( A_24 = B_8 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[264]) ).
thf(739,plain,
( ( ! [A_25: x_a > $o] : ( ord_less_eq_a_o @ bot_bot_a_o @ A_25 ) )
= $true ),
inference(unfold_def,[status(thm)],[268]) ).
thf(740,plain,
( ( ! [A_26: x_a > $o] :
( ( ord_less_eq_a_o @ A_26 @ bot_bot_a_o )
<=> ( A_26 = bot_bot_a_o ) ) )
= $true ),
inference(unfold_def,[status(thm)],[273]) ).
thf(741,plain,
( ( ! [A_27: x_a > $o] :
( ( ord_less_eq_a_o @ A_27 @ bot_bot_a_o )
=> ( A_27 = bot_bot_a_o ) ) )
= $true ),
inference(unfold_def,[status(thm)],[278]) ).
thf(742,plain,
( ( ! [A_32: x_a > $o] : ( ord_less_eq_a_o @ bot_bot_a_o @ A_32 ) )
= $true ),
inference(unfold_def,[status(thm)],[318]) ).
thf(743,plain,
( ( ! [X_14: x_a,F_7: x_a > $o,G_1: x_a > $o] :
( ( ord_less_eq_a_o @ F_7 @ G_1 )
=> ( ord_less_eq_o @ ( F_7 @ X_14 ) @ ( G_1 @ X_14 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[330]) ).
thf(744,plain,
( ( ! [X_15: x_a,F_8: x_a > $o,G_2: x_a > $o] :
( ( ord_less_eq_a_o @ F_8 @ G_2 )
=> ( ord_less_eq_o @ ( F_8 @ X_15 ) @ ( G_2 @ X_15 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(745,plain,
( ( ! [F_9: x_a > $o,G_3: x_a > $o] :
( ( ord_less_eq_a_o @ F_9 @ G_3 )
<=> ! [X_1: x_a] : ( ord_less_eq_o @ ( F_9 @ X_1 ) @ ( G_3 @ X_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(746,plain,
( ( ! [X_16: x_a > $o] : ( ord_less_eq_a_o @ X_16 @ X_16 ) )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(747,plain,
( ( ! [B_10: x_a > $o,A_35: x_a > $o] :
( ! [X_1: x_a] :
( ( member_a @ X_1 @ A_35 )
=> ( member_a @ X_1 @ B_10 ) )
=> ( ord_less_eq_a_o @ A_35 @ B_10 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[353]) ).
thf(748,plain,
( ( ! [F_12: pname > x_a,A_37: pname > $o,B_12: pname > $o] :
( ( ord_less_eq_pname_o @ A_37 @ B_12 )
=> ( ord_less_eq_a_o @ ( image_pname_a @ F_12 @ A_37 ) @ ( image_pname_a @ F_12 @ B_12 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[361]) ).
thf(749,plain,
( ( ! [B_13: x_a > $o,F_13: pname > x_a,A_38: pname > $o] :
( ( ord_less_eq_a_o @ B_13 @ ( image_pname_a @ F_13 @ A_38 ) )
<=> ? [AA: pname > $o] :
( ( ord_less_eq_pname_o @ AA @ A_38 )
& ( B_13
= ( image_pname_a @ F_13 @ AA ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[365]) ).
thf(750,plain,
( ( ! [F_14: pname > x_a,X_17: pname,A_39: pname > $o] :
( ( member_pname @ X_17 @ A_39 )
=> ( ( insert_a @ ( F_14 @ X_17 ) @ ( image_pname_a @ F_14 @ A_39 ) )
= ( image_pname_a @ F_14 @ A_39 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[369]) ).
thf(751,plain,
( ( ! [F_15: pname > x_a,A_40: pname,B_14: pname > $o] :
( ( image_pname_a @ F_15 @ ( insert_pname @ A_40 @ B_14 ) )
= ( insert_a @ ( F_15 @ A_40 ) @ ( image_pname_a @ F_15 @ B_14 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[375]) ).
thf(752,plain,
( ( ! [A_41: x_a,C_9: x_a > $o,D_1: x_a > $o] :
( ( ord_less_eq_a_o @ C_9 @ D_1 )
=> ( ord_less_eq_a_o @ ( insert_a @ A_41 @ C_9 ) @ ( insert_a @ A_41 @ D_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[379]) ).
thf(753,plain,
( ( ! [B_16: x_a,A_42: x_a > $o,B_15: x_a > $o] :
( ( ord_less_eq_a_o @ A_42 @ B_15 )
=> ( ord_less_eq_a_o @ A_42 @ ( insert_a @ B_16 @ B_15 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[382]) ).
thf(754,plain,
( ( ! [B_17: x_a > $o,X_18: x_a,A_43: x_a > $o] :
( ~ ( member_a @ X_18 @ A_43 )
=> ( ( ord_less_eq_a_o @ A_43 @ ( insert_a @ X_18 @ B_17 ) )
<=> ( ord_less_eq_a_o @ A_43 @ B_17 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[385]) ).
thf(755,plain,
( ( ! [X_19: x_a,A_44: x_a > $o,B_18: x_a > $o] :
( ( ord_less_eq_a_o @ ( insert_a @ X_19 @ A_44 ) @ B_18 )
<=> ( ( member_a @ X_19 @ B_18 )
& ( ord_less_eq_a_o @ A_44 @ B_18 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[388]) ).
thf(756,plain,
( ( ! [B_19: x_a > $o,A_45: x_a] : ( ord_less_eq_a_o @ B_19 @ ( insert_a @ A_45 @ B_19 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[391]) ).
thf(757,plain,
( ( ! [A_49: x_a > $o,B_21: x_a > $o] :
( ( A_49 = B_21 )
=> ~ ( ( ord_less_eq_a_o @ A_49 @ B_21 )
=> ~ ( ord_less_eq_a_o @ B_21 @ A_49 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[411]) ).
thf(758,plain,
( ( ! [C_10: x_a > $o,A_50: x_a > $o,B_22: x_a > $o] :
( ( ord_less_eq_a_o @ A_50 @ B_22 )
=> ( ( ord_less_eq_a_o @ B_22 @ C_10 )
=> ( ord_less_eq_a_o @ A_50 @ C_10 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[414]) ).
thf(759,plain,
( ( ! [X_23: x_a,A_52: x_a > $o,B_23: x_a > $o] :
( ( ord_less_eq_a_o @ A_52 @ B_23 )
=> ( ( member_a @ X_23 @ A_52 )
=> ( member_a @ X_23 @ B_23 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[426]) ).
thf(760,plain,
( ( ! [B_24: x_a > $o,X_24: x_a,A_53: x_a > $o] :
( ( member_a @ X_24 @ A_53 )
=> ( ( ord_less_eq_a_o @ A_53 @ B_24 )
=> ( member_a @ X_24 @ B_24 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[429]) ).
thf(761,plain,
( ( ! [X_25: x_a,A_54: x_a > $o,B_25: x_a > $o] :
( ( ord_less_eq_a_o @ A_54 @ B_25 )
=> ( ( member_a @ X_25 @ A_54 )
=> ( member_a @ X_25 @ B_25 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[432]) ).
thf(762,plain,
( ( ! [A_55: x_a > $o,B_26: x_a > $o] :
( ( A_55 = B_26 )
=> ( ord_less_eq_a_o @ B_26 @ A_55 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[435]) ).
thf(763,plain,
( ( ! [A_56: x_a > $o,B_27: x_a > $o] :
( ( A_56 = B_27 )
=> ( ord_less_eq_a_o @ A_56 @ B_27 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[438]) ).
thf(764,plain,
( ( ! [A_57: x_a > $o,B_28: x_a > $o] :
( ( A_57 = B_28 )
<=> ( ( ord_less_eq_a_o @ A_57 @ B_28 )
& ( ord_less_eq_a_o @ B_28 @ A_57 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[441]) ).
thf(765,plain,
( ( ! [A_58: x_a > $o] : ( ord_less_eq_a_o @ A_58 @ A_58 ) )
= $true ),
inference(unfold_def,[status(thm)],[444]) ).
thf(766,plain,
( ( ! [A_60: x_a,A_59: x_a > $o] :
( ( member_a @ A_60 @ A_59 )
=> ( ( insert_a @ A_60 @ A_59 )
= A_59 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[447]) ).
thf(767,plain,
( ( ! [B_30: x_a,A_61: x_a,B_29: x_a > $o] :
( ( member_a @ A_61 @ B_29 )
=> ( member_a @ A_61 @ ( insert_a @ B_30 @ B_29 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[450]) ).
thf(768,plain,
( ( ! [B_31: x_a > $o,X_26: x_a,A_62: x_a > $o] :
( ~ ( member_a @ X_26 @ A_62 )
=> ( ~ ( member_a @ X_26 @ B_31 )
=> ( ( ( insert_a @ X_26 @ A_62 )
= ( insert_a @ X_26 @ B_31 ) )
<=> ( A_62 = B_31 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[453]) ).
thf(769,plain,
( ( ! [Y_11: x_a,A_63: x_a > $o,X_27: x_a] :
( ( insert_a @ Y_11 @ A_63 @ X_27 )
<=> ( ( Y_11 = X_27 )
| ( A_63 @ X_27 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[456]) ).
thf(770,plain,
( ( ! [A_65: x_a,B_32: x_a,A_64: x_a > $o] :
( ( member_a @ A_65 @ ( insert_a @ B_32 @ A_64 ) )
<=> ( ( A_65 = B_32 )
| ( member_a @ A_65 @ A_64 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[459]) ).
thf(771,plain,
( ( ! [X_28: x_a,Y_12: x_a,A_66: x_a > $o] :
( ( insert_a @ X_28 @ ( insert_a @ Y_12 @ A_66 ) )
= ( insert_a @ Y_12 @ ( insert_a @ X_28 @ A_66 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[462]) ).
thf(772,plain,
( ( ! [X_29: x_a,A_67: x_a > $o] :
( ( insert_a @ X_29 @ ( insert_a @ X_29 @ A_67 ) )
= ( insert_a @ X_29 @ A_67 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[465]) ).
thf(773,plain,
( ( ! [A_68: x_a,P_8: x_a > $o] :
( ( insert_a @ A_68 @ ( collect_a @ P_8 ) )
= ( collect_a
@ ^ [U_1: x_a] :
( ( U_1 != A_68 )
=> ( P_8 @ U_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[468]) ).
thf(774,plain,
( ( ! [A_70: x_a,B_34: x_a > $o] : ( member_a @ A_70 @ ( insert_a @ A_70 @ B_34 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[480]) ).
thf(775,plain,
( ( ! [A_72: x_a,B_35: x_a,A_71: x_a > $o] :
( ( member_a @ A_72 @ ( insert_a @ B_35 @ A_71 ) )
=> ( ( A_72 != B_35 )
=> ( member_a @ A_72 @ A_71 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[485]) ).
thf(776,plain,
( ( ! [B_37: x_a,A_73: x_a,B_36: x_a > $o] :
( ( ~ ( member_a @ A_73 @ B_36 )
=> ( A_73 = B_37 ) )
=> ( member_a @ A_73 @ ( insert_a @ B_37 @ B_36 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[488]) ).
thf(777,plain,
( ( ! [C_11: x_a,A_74: x_a > $o,B_38: x_a > $o] :
( ( ord_less_eq_a_o @ A_74 @ B_38 )
=> ( ( member_a @ C_11 @ A_74 )
=> ( member_a @ C_11 @ B_38 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[491]) ).
thf(778,plain,
( ( ! [A_75: x_a > $o,B_39: x_a > $o] :
( ( ord_less_eq_a_o @ A_75 @ B_39 )
=> ( ( ord_less_eq_a_o @ B_39 @ A_75 )
=> ( A_75 = B_39 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[494]) ).
thf(779,plain,
( ( ! [A_80: x_a > $o,B_43: x_a > $o] :
( ( finite_finite_a @ B_43 )
=> ( ( ord_less_eq_a_o @ A_80 @ B_43 )
=> ( finite_finite_a @ A_80 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[600]) ).
thf(780,plain,
( ( ! [A_81: x_a > $o,B_44: x_a > $o] :
( ( ord_less_eq_a_o @ A_81 @ B_44 )
=> ( ( finite_finite_a @ B_44 )
=> ( finite_finite_a @ A_81 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[606]) ).
thf(781,plain,
( ( ! [A_83: x_a,A_82: x_a > $o] :
( ( finite_finite_a @ ( insert_a @ A_83 @ A_82 ) )
<=> ( finite_finite_a @ A_82 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[610]) ).
thf(782,plain,
( ( ! [A_91: x_a,A_90: x_a > $o] :
( ( finite_finite_a @ A_90 )
=> ( finite_finite_a @ ( insert_a @ A_91 @ A_90 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[684]) ).
thf(783,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)],[712]) ).
thf(784,plain,
( ( ~ ( member_a @ ( mgt_call @ pn ) @ g ) )
= $true ),
inference(unfold_def,[status(thm)],[713]) ).
thf(785,plain,
( ( member_pname @ pn @ u )
= $true ),
inference(unfold_def,[status(thm)],[714]) ).
thf(786,plain,
( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
= $true ),
inference(unfold_def,[status(thm)],[717]) ).
thf(787,plain,
( ( finite_finite_pname @ u )
= $true ),
inference(unfold_def,[status(thm)],[718]) ).
thf(788,plain,
( ( ~ ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[721]) ).
thf(789,plain,
( ( finite_finite_pname @ u )
= $true ),
inference(copy,[status(thm)],[787]) ).
thf(790,plain,
( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
= $true ),
inference(copy,[status(thm)],[786]) ).
thf(791,plain,
( ( member_pname @ pn @ u )
= $true ),
inference(copy,[status(thm)],[785]) ).
thf(792,plain,
( ( ~ ( member_a @ ( mgt_call @ pn ) @ g ) )
= $true ),
inference(copy,[status(thm)],[784]) ).
thf(793,plain,
( ( ! [Ts: x_a > $o,G: x_a > $o] :
( ( ord_less_eq_a_o @ Ts @ G )
=> ( p @ G @ Ts ) ) )
= $true ),
inference(copy,[status(thm)],[783]) ).
thf(794,plain,
( ( ! [A_91: x_a,A_90: x_a > $o] :
( ( finite_finite_a @ A_90 )
=> ( finite_finite_a @ ( insert_a @ A_91 @ A_90 ) ) ) )
= $true ),
inference(copy,[status(thm)],[782]) ).
thf(795,plain,
( ( ! [A_83: x_a,A_82: x_a > $o] :
( ( finite_finite_a @ ( insert_a @ A_83 @ A_82 ) )
<=> ( finite_finite_a @ A_82 ) ) )
= $true ),
inference(copy,[status(thm)],[781]) ).
thf(796,plain,
( ( ! [A_81: x_a > $o,B_44: x_a > $o] :
( ( ord_less_eq_a_o @ A_81 @ B_44 )
=> ( ( finite_finite_a @ B_44 )
=> ( finite_finite_a @ A_81 ) ) ) )
= $true ),
inference(copy,[status(thm)],[780]) ).
thf(797,plain,
( ( ! [A_80: x_a > $o,B_43: x_a > $o] :
( ( finite_finite_a @ B_43 )
=> ( ( ord_less_eq_a_o @ A_80 @ B_43 )
=> ( finite_finite_a @ A_80 ) ) ) )
= $true ),
inference(copy,[status(thm)],[779]) ).
thf(798,plain,
( ( ! [A_75: x_a > $o,B_39: x_a > $o] :
( ( ord_less_eq_a_o @ A_75 @ B_39 )
=> ( ( ord_less_eq_a_o @ B_39 @ A_75 )
=> ( A_75 = B_39 ) ) ) )
= $true ),
inference(copy,[status(thm)],[778]) ).
thf(799,plain,
( ( ! [C_11: x_a,A_74: x_a > $o,B_38: x_a > $o] :
( ( ord_less_eq_a_o @ A_74 @ B_38 )
=> ( ( member_a @ C_11 @ A_74 )
=> ( member_a @ C_11 @ B_38 ) ) ) )
= $true ),
inference(copy,[status(thm)],[777]) ).
thf(800,plain,
( ( ! [B_37: x_a,A_73: x_a,B_36: x_a > $o] :
( ( ~ ( member_a @ A_73 @ B_36 )
=> ( A_73 = B_37 ) )
=> ( member_a @ A_73 @ ( insert_a @ B_37 @ B_36 ) ) ) )
= $true ),
inference(copy,[status(thm)],[776]) ).
thf(801,plain,
( ( ! [A_72: x_a,B_35: x_a,A_71: x_a > $o] :
( ( member_a @ A_72 @ ( insert_a @ B_35 @ A_71 ) )
=> ( ( A_72 != B_35 )
=> ( member_a @ A_72 @ A_71 ) ) ) )
= $true ),
inference(copy,[status(thm)],[775]) ).
thf(802,plain,
( ( ! [A_70: x_a,B_34: x_a > $o] : ( member_a @ A_70 @ ( insert_a @ A_70 @ B_34 ) ) )
= $true ),
inference(copy,[status(thm)],[774]) ).
thf(803,plain,
( ( ! [A_68: x_a,P_8: x_a > $o] :
( ( insert_a @ A_68 @ ( collect_a @ P_8 ) )
= ( collect_a
@ ^ [U_1: x_a] :
( ( U_1 != A_68 )
=> ( P_8 @ U_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[773]) ).
thf(804,plain,
( ( ! [X_29: x_a,A_67: x_a > $o] :
( ( insert_a @ X_29 @ ( insert_a @ X_29 @ A_67 ) )
= ( insert_a @ X_29 @ A_67 ) ) )
= $true ),
inference(copy,[status(thm)],[772]) ).
thf(805,plain,
( ( ! [X_28: x_a,Y_12: x_a,A_66: x_a > $o] :
( ( insert_a @ X_28 @ ( insert_a @ Y_12 @ A_66 ) )
= ( insert_a @ Y_12 @ ( insert_a @ X_28 @ A_66 ) ) ) )
= $true ),
inference(copy,[status(thm)],[771]) ).
thf(806,plain,
( ( ! [A_65: x_a,B_32: x_a,A_64: x_a > $o] :
( ( member_a @ A_65 @ ( insert_a @ B_32 @ A_64 ) )
<=> ( ( A_65 = B_32 )
| ( member_a @ A_65 @ A_64 ) ) ) )
= $true ),
inference(copy,[status(thm)],[770]) ).
thf(807,plain,
( ( ! [Y_11: x_a,A_63: x_a > $o,X_27: x_a] :
( ( insert_a @ Y_11 @ A_63 @ X_27 )
<=> ( ( Y_11 = X_27 )
| ( A_63 @ X_27 ) ) ) )
= $true ),
inference(copy,[status(thm)],[769]) ).
thf(808,plain,
( ( ! [B_31: x_a > $o,X_26: x_a,A_62: x_a > $o] :
( ~ ( member_a @ X_26 @ A_62 )
=> ( ~ ( member_a @ X_26 @ B_31 )
=> ( ( ( insert_a @ X_26 @ A_62 )
= ( insert_a @ X_26 @ B_31 ) )
<=> ( A_62 = B_31 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[768]) ).
thf(809,plain,
( ( ! [B_30: x_a,A_61: x_a,B_29: x_a > $o] :
( ( member_a @ A_61 @ B_29 )
=> ( member_a @ A_61 @ ( insert_a @ B_30 @ B_29 ) ) ) )
= $true ),
inference(copy,[status(thm)],[767]) ).
thf(810,plain,
( ( ! [A_60: x_a,A_59: x_a > $o] :
( ( member_a @ A_60 @ A_59 )
=> ( ( insert_a @ A_60 @ A_59 )
= A_59 ) ) )
= $true ),
inference(copy,[status(thm)],[766]) ).
thf(811,plain,
( ( ! [A_58: x_a > $o] : ( ord_less_eq_a_o @ A_58 @ A_58 ) )
= $true ),
inference(copy,[status(thm)],[765]) ).
thf(812,plain,
( ( ! [A_57: x_a > $o,B_28: x_a > $o] :
( ( A_57 = B_28 )
<=> ( ( ord_less_eq_a_o @ A_57 @ B_28 )
& ( ord_less_eq_a_o @ B_28 @ A_57 ) ) ) )
= $true ),
inference(copy,[status(thm)],[764]) ).
thf(813,plain,
( ( ! [A_56: x_a > $o,B_27: x_a > $o] :
( ( A_56 = B_27 )
=> ( ord_less_eq_a_o @ A_56 @ B_27 ) ) )
= $true ),
inference(copy,[status(thm)],[763]) ).
thf(814,plain,
( ( ! [A_55: x_a > $o,B_26: x_a > $o] :
( ( A_55 = B_26 )
=> ( ord_less_eq_a_o @ B_26 @ A_55 ) ) )
= $true ),
inference(copy,[status(thm)],[762]) ).
thf(815,plain,
( ( ! [X_25: x_a,A_54: x_a > $o,B_25: x_a > $o] :
( ( ord_less_eq_a_o @ A_54 @ B_25 )
=> ( ( member_a @ X_25 @ A_54 )
=> ( member_a @ X_25 @ B_25 ) ) ) )
= $true ),
inference(copy,[status(thm)],[761]) ).
thf(816,plain,
( ( ! [B_24: x_a > $o,X_24: x_a,A_53: x_a > $o] :
( ( member_a @ X_24 @ A_53 )
=> ( ( ord_less_eq_a_o @ A_53 @ B_24 )
=> ( member_a @ X_24 @ B_24 ) ) ) )
= $true ),
inference(copy,[status(thm)],[760]) ).
thf(817,plain,
( ( ! [X_23: x_a,A_52: x_a > $o,B_23: x_a > $o] :
( ( ord_less_eq_a_o @ A_52 @ B_23 )
=> ( ( member_a @ X_23 @ A_52 )
=> ( member_a @ X_23 @ B_23 ) ) ) )
= $true ),
inference(copy,[status(thm)],[759]) ).
thf(818,plain,
( ( ! [C_10: x_a > $o,A_50: x_a > $o,B_22: x_a > $o] :
( ( ord_less_eq_a_o @ A_50 @ B_22 )
=> ( ( ord_less_eq_a_o @ B_22 @ C_10 )
=> ( ord_less_eq_a_o @ A_50 @ C_10 ) ) ) )
= $true ),
inference(copy,[status(thm)],[758]) ).
thf(819,plain,
( ( ! [A_49: x_a > $o,B_21: x_a > $o] :
( ( A_49 = B_21 )
=> ~ ( ( ord_less_eq_a_o @ A_49 @ B_21 )
=> ~ ( ord_less_eq_a_o @ B_21 @ A_49 ) ) ) )
= $true ),
inference(copy,[status(thm)],[757]) ).
thf(820,plain,
( ( ! [B_19: x_a > $o,A_45: x_a] : ( ord_less_eq_a_o @ B_19 @ ( insert_a @ A_45 @ B_19 ) ) )
= $true ),
inference(copy,[status(thm)],[756]) ).
thf(821,plain,
( ( ! [X_19: x_a,A_44: x_a > $o,B_18: x_a > $o] :
( ( ord_less_eq_a_o @ ( insert_a @ X_19 @ A_44 ) @ B_18 )
<=> ( ( member_a @ X_19 @ B_18 )
& ( ord_less_eq_a_o @ A_44 @ B_18 ) ) ) )
= $true ),
inference(copy,[status(thm)],[755]) ).
thf(822,plain,
( ( ! [B_17: x_a > $o,X_18: x_a,A_43: x_a > $o] :
( ~ ( member_a @ X_18 @ A_43 )
=> ( ( ord_less_eq_a_o @ A_43 @ ( insert_a @ X_18 @ B_17 ) )
<=> ( ord_less_eq_a_o @ A_43 @ B_17 ) ) ) )
= $true ),
inference(copy,[status(thm)],[754]) ).
thf(823,plain,
( ( ! [B_16: x_a,A_42: x_a > $o,B_15: x_a > $o] :
( ( ord_less_eq_a_o @ A_42 @ B_15 )
=> ( ord_less_eq_a_o @ A_42 @ ( insert_a @ B_16 @ B_15 ) ) ) )
= $true ),
inference(copy,[status(thm)],[753]) ).
thf(824,plain,
( ( ! [A_41: x_a,C_9: x_a > $o,D_1: x_a > $o] :
( ( ord_less_eq_a_o @ C_9 @ D_1 )
=> ( ord_less_eq_a_o @ ( insert_a @ A_41 @ C_9 ) @ ( insert_a @ A_41 @ D_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[752]) ).
thf(825,plain,
( ( ! [F_15: pname > x_a,A_40: pname,B_14: pname > $o] :
( ( image_pname_a @ F_15 @ ( insert_pname @ A_40 @ B_14 ) )
= ( insert_a @ ( F_15 @ A_40 ) @ ( image_pname_a @ F_15 @ B_14 ) ) ) )
= $true ),
inference(copy,[status(thm)],[751]) ).
thf(826,plain,
( ( ! [F_14: pname > x_a,X_17: pname,A_39: pname > $o] :
( ( member_pname @ X_17 @ A_39 )
=> ( ( insert_a @ ( F_14 @ X_17 ) @ ( image_pname_a @ F_14 @ A_39 ) )
= ( image_pname_a @ F_14 @ A_39 ) ) ) )
= $true ),
inference(copy,[status(thm)],[750]) ).
thf(827,plain,
( ( ! [B_13: x_a > $o,F_13: pname > x_a,A_38: pname > $o] :
( ( ord_less_eq_a_o @ B_13 @ ( image_pname_a @ F_13 @ A_38 ) )
<=> ? [AA: pname > $o] :
( ( ord_less_eq_pname_o @ AA @ A_38 )
& ( B_13
= ( image_pname_a @ F_13 @ AA ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[749]) ).
thf(828,plain,
( ( ! [F_12: pname > x_a,A_37: pname > $o,B_12: pname > $o] :
( ( ord_less_eq_pname_o @ A_37 @ B_12 )
=> ( ord_less_eq_a_o @ ( image_pname_a @ F_12 @ A_37 ) @ ( image_pname_a @ F_12 @ B_12 ) ) ) )
= $true ),
inference(copy,[status(thm)],[748]) ).
thf(829,plain,
( ( ! [B_10: x_a > $o,A_35: x_a > $o] :
( ! [X_1: x_a] :
( ( member_a @ X_1 @ A_35 )
=> ( member_a @ X_1 @ B_10 ) )
=> ( ord_less_eq_a_o @ A_35 @ B_10 ) ) )
= $true ),
inference(copy,[status(thm)],[747]) ).
thf(830,plain,
( ( ! [X_16: x_a > $o] : ( ord_less_eq_a_o @ X_16 @ X_16 ) )
= $true ),
inference(copy,[status(thm)],[746]) ).
thf(831,plain,
( ( ! [F_9: x_a > $o,G_3: x_a > $o] :
( ( ord_less_eq_a_o @ F_9 @ G_3 )
<=> ! [X_1: x_a] : ( ord_less_eq_o @ ( F_9 @ X_1 ) @ ( G_3 @ X_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[745]) ).
thf(832,plain,
( ( ! [X_15: x_a,F_8: x_a > $o,G_2: x_a > $o] :
( ( ord_less_eq_a_o @ F_8 @ G_2 )
=> ( ord_less_eq_o @ ( F_8 @ X_15 ) @ ( G_2 @ X_15 ) ) ) )
= $true ),
inference(copy,[status(thm)],[744]) ).
thf(833,plain,
( ( ! [X_14: x_a,F_7: x_a > $o,G_1: x_a > $o] :
( ( ord_less_eq_a_o @ F_7 @ G_1 )
=> ( ord_less_eq_o @ ( F_7 @ X_14 ) @ ( G_1 @ X_14 ) ) ) )
= $true ),
inference(copy,[status(thm)],[743]) ).
thf(834,plain,
( ( ! [A_32: x_a > $o] : ( ord_less_eq_a_o @ bot_bot_a_o @ A_32 ) )
= $true ),
inference(copy,[status(thm)],[742]) ).
thf(835,plain,
( ( ! [A_27: x_a > $o] :
( ( ord_less_eq_a_o @ A_27 @ bot_bot_a_o )
=> ( A_27 = bot_bot_a_o ) ) )
= $true ),
inference(copy,[status(thm)],[741]) ).
thf(836,plain,
( ( ! [A_26: x_a > $o] :
( ( ord_less_eq_a_o @ A_26 @ bot_bot_a_o )
<=> ( A_26 = bot_bot_a_o ) ) )
= $true ),
inference(copy,[status(thm)],[740]) ).
thf(837,plain,
( ( ! [A_25: x_a > $o] : ( ord_less_eq_a_o @ bot_bot_a_o @ A_25 ) )
= $true ),
inference(copy,[status(thm)],[739]) ).
thf(838,plain,
( ( ! [A_24: x_a,B_8: x_a] :
( ( ( insert_a @ A_24 @ bot_bot_a_o )
= ( insert_a @ B_8 @ bot_bot_a_o ) )
=> ( A_24 = B_8 ) ) )
= $true ),
inference(copy,[status(thm)],[738]) ).
thf(839,plain,
( ( ! [A_22: x_a,B_6: x_a,C_7: x_a,D: x_a] :
( ( ( insert_a @ A_22 @ ( insert_a @ B_6 @ bot_bot_a_o ) )
= ( insert_a @ C_7 @ ( insert_a @ D @ bot_bot_a_o ) ) )
<=> ( ( ( A_22 = C_7 )
& ( B_6 = D ) )
| ( ( A_22 = D )
& ( B_6 = C_7 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[737]) ).
thf(840,plain,
( ( ! [A_20: x_a,A_19: x_a > $o] :
( ( insert_a @ A_20 @ A_19 )
!= bot_bot_a_o ) )
= $true ),
inference(copy,[status(thm)],[736]) ).
thf(841,plain,
( ( ! [A_18: x_a,A_17: x_a > $o] :
( bot_bot_a_o
!= ( insert_a @ A_18 @ A_17 ) ) )
= $true ),
inference(copy,[status(thm)],[735]) ).
thf(842,plain,
( ( ! [A_16: x_a > $o] :
( ( ord_less_eq_a_o @ A_16 @ bot_bot_a_o )
<=> ( A_16 = bot_bot_a_o ) ) )
= $true ),
inference(copy,[status(thm)],[734]) ).
thf(843,plain,
( ( ! [A_9: x_a > $o,X_12: x_a] :
( ( ord_less_eq_a_o @ A_9 @ ( insert_a @ X_12 @ bot_bot_a_o ) )
=> ( ( A_9 = bot_bot_a_o )
| ( A_9
= ( insert_a @ X_12 @ bot_bot_a_o ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[733]) ).
thf(844,plain,
( ( ! [Z_2: x_a > $o,Y_8: x_a > $o,X_9: x_a > $o] :
( ( ord_less_eq_a_o @ Y_8 @ X_9 )
=> ( ( ord_less_eq_a_o @ Z_2 @ Y_8 )
=> ( ord_less_eq_a_o @ Z_2 @ X_9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[732]) ).
thf(845,plain,
( ( ! [Y_7: x_a > $o,X_8: x_a > $o] :
( ( ord_less_eq_a_o @ Y_7 @ X_8 )
=> ( ( ord_less_eq_a_o @ X_8 @ Y_7 )
=> ( X_8 = Y_7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[731]) ).
thf(846,plain,
( ( ! [Z_1: x_a > $o,X_7: x_a > $o,Y_6: x_a > $o] :
( ( ord_less_eq_a_o @ X_7 @ Y_6 )
=> ( ( ord_less_eq_a_o @ Y_6 @ Z_1 )
=> ( ord_less_eq_a_o @ X_7 @ Z_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[730]) ).
thf(847,plain,
( ( ! [X_6: x_a > $o,Y_5: x_a > $o] :
( ( ord_less_eq_a_o @ X_6 @ Y_5 )
=> ( ( ord_less_eq_a_o @ Y_5 @ X_6 )
=> ( X_6 = Y_5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[729]) ).
thf(848,plain,
( ( ! [C_4: x_a > $o,B_4: x_a > $o,A_6: x_a > $o] :
( ( ord_less_eq_a_o @ B_4 @ A_6 )
=> ( ( B_4 = C_4 )
=> ( ord_less_eq_a_o @ C_4 @ A_6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[728]) ).
thf(849,plain,
( ( ! [C_3: x_a > $o,A_5: x_a > $o,B_3: x_a > $o] :
( ( ord_less_eq_a_o @ A_5 @ B_3 )
=> ( ( B_3 = C_3 )
=> ( ord_less_eq_a_o @ A_5 @ C_3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[727]) ).
thf(850,plain,
( ( ! [C_2: x_a > $o,A_4: x_a > $o,B_2: x_a > $o] :
( ( A_4 = B_2 )
=> ( ( ord_less_eq_a_o @ C_2 @ B_2 )
=> ( ord_less_eq_a_o @ C_2 @ A_4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[726]) ).
thf(851,plain,
( ( ! [C_1: x_a > $o,A_3: x_a > $o,B_1: x_a > $o] :
( ( A_3 = B_1 )
=> ( ( ord_less_eq_a_o @ B_1 @ C_1 )
=> ( ord_less_eq_a_o @ A_3 @ C_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[725]) ).
thf(852,plain,
( ( ! [Y_4: x_a > $o,X_5: x_a > $o] :
( ( ord_less_eq_a_o @ Y_4 @ X_5 )
=> ( ( ord_less_eq_a_o @ X_5 @ Y_4 )
<=> ( X_5 = Y_4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[724]) ).
thf(853,plain,
( ( ! [X_4: x_a > $o,Y_3: x_a > $o] :
( ( X_4 = Y_3 )
=> ( ord_less_eq_a_o @ X_4 @ Y_3 ) ) )
= $true ),
inference(copy,[status(thm)],[723]) ).
thf(854,plain,
( ( ! [X_3: x_a > $o,Y_2: x_a > $o] :
( ( X_3 = Y_2 )
<=> ( ( ord_less_eq_a_o @ X_3 @ Y_2 )
& ( ord_less_eq_a_o @ Y_2 @ X_3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[722]) ).
thf(855,plain,
( ( ~ ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) ) )
= $true ),
inference(copy,[status(thm)],[788]) ).
thf(856,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)],[822]) ).
thf(857,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)],[836]) ).
thf(858,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)],[847]) ).
thf(859,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)],[848]) ).
thf(860,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)],[796]) ).
thf(861,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)],[819]) ).
thf(862,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)],[815]) ).
thf(863,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)],[850]) ).
thf(864,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)],[831]) ).
thf(865,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)],[818]) ).
thf(866,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)],[795]) ).
thf(867,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)],[801]) ).
thf(868,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)],[798]) ).
thf(869,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)],[833]) ).
thf(870,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o] :
( ( SX0 != SX1 )
| ( ord_less_eq_a_o @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[853]) ).
thf(871,plain,
( ( ! [SX0: x_a,SX1: x_a > $o] :
( bot_bot_a_o
!= ( insert_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[841]) ).
thf(872,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)],[845]) ).
thf(873,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)],[816]) ).
thf(874,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o] :
( ( SX0 != SX1 )
| ( ord_less_eq_a_o @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[813]) ).
thf(875,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)],[812]) ).
thf(876,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)],[808]) ).
thf(877,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)],[799]) ).
thf(878,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)],[854]) ).
thf(879,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)],[809]) ).
thf(880,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)],[852]) ).
thf(881,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)],[794]) ).
thf(882,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)],[839]) ).
thf(883,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)],[844]) ).
thf(884,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)],[828]) ).
thf(885,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)],[849]) ).
thf(886,plain,
( ( ! [SX0: x_a,SX1: x_a > $o] :
( ( insert_a @ SX0 @ SX1 )
!= bot_bot_a_o ) )
= $true ),
inference(unfold_def,[status(thm)],[840]) ).
thf(887,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)],[817]) ).
thf(888,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)],[832]) ).
thf(889,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)],[838]) ).
thf(890,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)],[793]) ).
thf(891,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)],[843]) ).
thf(892,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)],[803]) ).
thf(893,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o] :
( ( SX0 != SX1 )
| ( ord_less_eq_a_o @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[814]) ).
thf(894,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)],[797]) ).
thf(895,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)],[806]) ).
thf(896,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)],[823]) ).
thf(897,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)],[842]) ).
thf(898,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)],[851]) ).
thf(899,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)],[800]) ).
thf(900,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)],[827]) ).
thf(901,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)],[824]) ).
thf(902,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)],[821]) ).
thf(903,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)],[835]) ).
thf(904,plain,
( ( ! [SX0: x_a,SX1: x_a > $o] :
( ~ ( member_a @ SX0 @ SX1 )
| ( ( insert_a @ SX0 @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[810]) ).
thf(905,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)],[807]) ).
thf(906,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)],[826]) ).
thf(907,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)],[846]) ).
thf(908,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)],[829]) ).
thf(909,plain,
( ( member_a @ ( mgt_call @ pn ) @ g )
= $false ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(910,plain,
! [SV1: x_a] :
( ( ! [SY151: x_a > $o] : ( member_a @ SV1 @ ( insert_a @ SV1 @ SY151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[802]) ).
thf(911,plain,
! [SV2: x_a] :
( ( ! [SY152: x_a > $o] :
( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SY152 ) )
= ( insert_a @ SV2 @ SY152 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[804]) ).
thf(912,plain,
! [SV3: x_a] :
( ( ! [SY153: x_a,SY154: x_a > $o] :
( ( insert_a @ SV3 @ ( insert_a @ SY153 @ SY154 ) )
= ( insert_a @ SY153 @ ( insert_a @ SV3 @ SY154 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[805]) ).
thf(913,plain,
! [SV4: x_a > $o] :
( ( ord_less_eq_a_o @ SV4 @ SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[811]) ).
thf(914,plain,
! [SV5: x_a > $o] :
( ( ! [SY155: x_a] : ( ord_less_eq_a_o @ SV5 @ ( insert_a @ SY155 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[820]) ).
thf(915,plain,
! [SV6: pname > x_a] :
( ( ! [SY156: pname,SY157: pname > $o] :
( ( image_pname_a @ SV6 @ ( insert_pname @ SY156 @ SY157 ) )
= ( insert_a @ ( SV6 @ SY156 ) @ ( image_pname_a @ SV6 @ SY157 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[825]) ).
thf(916,plain,
! [SV7: x_a > $o] :
( ( ord_less_eq_a_o @ SV7 @ SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[830]) ).
thf(917,plain,
! [SV8: x_a > $o] :
( ( ord_less_eq_a_o @ bot_bot_a_o @ SV8 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[834]) ).
thf(918,plain,
! [SV9: x_a > $o] :
( ( ord_less_eq_a_o @ bot_bot_a_o @ SV9 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(919,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)],[855]) ).
thf(920,plain,
! [SV10: x_a > $o] :
( ( ! [SY158: x_a,SY159: x_a > $o] :
( ~ ~ ( member_a @ SY158 @ SY159 )
| ~ ( ~ ( ~ ( ord_less_eq_a_o @ SY159 @ ( insert_a @ SY158 @ SV10 ) )
| ( ord_less_eq_a_o @ SY159 @ SV10 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SY159 @ SV10 )
| ( ord_less_eq_a_o @ SY159 @ ( insert_a @ SY158 @ SV10 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[856]) ).
thf(921,plain,
! [SV11: x_a > $o] :
( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
| ( SV11 = bot_bot_a_o ) )
| ~ ( ( SV11 != bot_bot_a_o )
| ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[857]) ).
thf(922,plain,
! [SV12: x_a > $o] :
( ( ! [SY160: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV12 @ SY160 )
| ~ ( ord_less_eq_a_o @ SY160 @ SV12 )
| ( SV12 = SY160 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[858]) ).
thf(923,plain,
! [SV13: x_a > $o] :
( ( ! [SY161: x_a > $o,SY162: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY161 @ SY162 )
| ( SY161 != SV13 )
| ( ord_less_eq_a_o @ SV13 @ SY162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[859]) ).
thf(924,plain,
! [SV14: x_a > $o] :
( ( ! [SY163: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV14 @ SY163 )
| ~ ( finite_finite_a @ SY163 )
| ( finite_finite_a @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[860]) ).
thf(925,plain,
! [SV15: x_a > $o] :
( ( ! [SY164: x_a > $o] :
( ( SV15 != SY164 )
| ~ ( ~ ( ord_less_eq_a_o @ SV15 @ SY164 )
| ~ ( ord_less_eq_a_o @ SY164 @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[861]) ).
thf(926,plain,
! [SV16: x_a] :
( ( ! [SY165: x_a > $o,SY166: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY165 @ SY166 )
| ~ ( member_a @ SV16 @ SY165 )
| ( member_a @ SV16 @ SY166 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[862]) ).
thf(927,plain,
! [SV17: x_a > $o] :
( ( ! [SY167: x_a > $o,SY168: x_a > $o] :
( ( SY167 != SY168 )
| ~ ( ord_less_eq_a_o @ SV17 @ SY168 )
| ( ord_less_eq_a_o @ SV17 @ SY167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[863]) ).
thf(928,plain,
! [SV18: x_a > $o] :
( ( ! [SY169: x_a > $o] :
~ ( ~ ( ~ ( ord_less_eq_a_o @ SV18 @ SY169 )
| ! [SY170: x_a] : ( ord_less_eq_o @ ( SV18 @ SY170 ) @ ( SY169 @ SY170 ) ) )
| ~ ( ~ ! [SY171: x_a] : ( ord_less_eq_o @ ( SV18 @ SY171 ) @ ( SY169 @ SY171 ) )
| ( ord_less_eq_a_o @ SV18 @ SY169 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(929,plain,
! [SV19: x_a > $o] :
( ( ! [SY172: x_a > $o,SY173: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY172 @ SY173 )
| ~ ( ord_less_eq_a_o @ SY173 @ SV19 )
| ( ord_less_eq_a_o @ SY172 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[865]) ).
thf(930,plain,
! [SV20: x_a] :
( ( ! [SY174: x_a > $o] :
~ ( ~ ( ~ ( finite_finite_a @ ( insert_a @ SV20 @ SY174 ) )
| ( finite_finite_a @ SY174 ) )
| ~ ( ~ ( finite_finite_a @ SY174 )
| ( finite_finite_a @ ( insert_a @ SV20 @ SY174 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[866]) ).
thf(931,plain,
! [SV21: x_a] :
( ( ! [SY175: x_a,SY176: x_a > $o] :
( ~ ( member_a @ SV21 @ ( insert_a @ SY175 @ SY176 ) )
| ~ ( ( SV21 != SY175 ) )
| ( member_a @ SV21 @ SY176 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(932,plain,
! [SV22: x_a > $o] :
( ( ! [SY177: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV22 @ SY177 )
| ~ ( ord_less_eq_a_o @ SY177 @ SV22 )
| ( SV22 = SY177 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[868]) ).
thf(933,plain,
! [SV23: x_a] :
( ( ! [SY178: x_a > $o,SY179: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY178 @ SY179 )
| ( ord_less_eq_o @ ( SY178 @ SV23 ) @ ( SY179 @ SV23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[869]) ).
thf(934,plain,
! [SV24: x_a > $o] :
( ( ! [SY180: x_a > $o] :
( ( SV24 != SY180 )
| ( ord_less_eq_a_o @ SV24 @ SY180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[870]) ).
thf(935,plain,
! [SV25: x_a] :
( ( ! [SY181: x_a > $o] :
( bot_bot_a_o
!= ( insert_a @ SV25 @ SY181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[871]) ).
thf(936,plain,
! [SV26: x_a > $o] :
( ( ! [SY182: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV26 @ SY182 )
| ~ ( ord_less_eq_a_o @ SY182 @ SV26 )
| ( SY182 = SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[872]) ).
thf(937,plain,
! [SV27: x_a > $o] :
( ( ! [SY183: x_a,SY184: x_a > $o] :
( ~ ( member_a @ SY183 @ SY184 )
| ~ ( ord_less_eq_a_o @ SY184 @ SV27 )
| ( member_a @ SY183 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[873]) ).
thf(938,plain,
! [SV28: x_a > $o] :
( ( ! [SY185: x_a > $o] :
( ( SV28 != SY185 )
| ( ord_less_eq_a_o @ SV28 @ SY185 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(939,plain,
! [SV29: x_a > $o] :
( ( ! [SY186: x_a > $o] :
~ ( ~ ( ( SV29 != SY186 )
| ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SY186 )
| ~ ( ord_less_eq_a_o @ SY186 @ SV29 ) ) )
| ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SY186 )
| ~ ( ord_less_eq_a_o @ SY186 @ SV29 ) )
| ( SV29 = SY186 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(940,plain,
! [SV30: x_a > $o] :
( ( ! [SY187: x_a,SY188: x_a > $o] :
( ~ ~ ( member_a @ SY187 @ SY188 )
| ~ ~ ( member_a @ SY187 @ SV30 )
| ~ ( ~ ( ( ( insert_a @ SY187 @ SY188 )
!= ( insert_a @ SY187 @ SV30 ) )
| ( SY188 = SV30 ) )
| ~ ( ( SY188 != SV30 )
| ( ( insert_a @ SY187 @ SY188 )
= ( insert_a @ SY187 @ SV30 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[876]) ).
thf(941,plain,
! [SV31: x_a] :
( ( ! [SY189: x_a > $o,SY190: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY189 @ SY190 )
| ~ ( member_a @ SV31 @ SY189 )
| ( member_a @ SV31 @ SY190 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[877]) ).
thf(942,plain,
! [SV32: x_a > $o] :
( ( ! [SY191: x_a > $o] :
~ ( ~ ( ( SV32 != SY191 )
| ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SY191 )
| ~ ( ord_less_eq_a_o @ SY191 @ SV32 ) ) )
| ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SY191 )
| ~ ( ord_less_eq_a_o @ SY191 @ SV32 ) )
| ( SV32 = SY191 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[878]) ).
thf(943,plain,
! [SV33: x_a] :
( ( ! [SY192: x_a,SY193: x_a > $o] :
( ~ ( member_a @ SY192 @ SY193 )
| ( member_a @ SY192 @ ( insert_a @ SV33 @ SY193 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[879]) ).
thf(944,plain,
! [SV34: x_a > $o] :
( ( ! [SY194: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV34 @ SY194 )
| ~ ( ~ ( ~ ( ord_less_eq_a_o @ SY194 @ SV34 )
| ( SY194 = SV34 ) )
| ~ ( ( SY194 != SV34 )
| ( ord_less_eq_a_o @ SY194 @ SV34 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[880]) ).
thf(945,plain,
! [SV35: x_a] :
( ( ! [SY195: x_a > $o] :
( ~ ( finite_finite_a @ SY195 )
| ( finite_finite_a @ ( insert_a @ SV35 @ SY195 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[881]) ).
thf(946,plain,
! [SV36: x_a] :
( ( ! [SY196: x_a,SY197: x_a,SY198: x_a] :
~ ( ~ ( ( ( insert_a @ SV36 @ ( insert_a @ SY196 @ bot_bot_a_o ) )
!= ( insert_a @ SY197 @ ( insert_a @ SY198 @ bot_bot_a_o ) ) )
| ~ ( ( SV36 != SY197 )
| ( SY196 != SY198 ) )
| ~ ( ( SV36 != SY198 )
| ( SY196 != SY197 ) ) )
| ~ ( ~ ( ~ ( ( SV36 != SY197 )
| ( SY196 != SY198 ) )
| ~ ( ( SV36 != SY198 )
| ( SY196 != SY197 ) ) )
| ( ( insert_a @ SV36 @ ( insert_a @ SY196 @ bot_bot_a_o ) )
= ( insert_a @ SY197 @ ( insert_a @ SY198 @ bot_bot_a_o ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[882]) ).
thf(947,plain,
! [SV37: x_a > $o] :
( ( ! [SY199: x_a > $o,SY200: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY199 @ SY200 )
| ~ ( ord_less_eq_a_o @ SV37 @ SY199 )
| ( ord_less_eq_a_o @ SV37 @ SY200 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[883]) ).
thf(948,plain,
! [SV38: pname > x_a] :
( ( ! [SY201: pname > $o,SY202: pname > $o] :
( ~ ( ord_less_eq_pname_o @ SY201 @ SY202 )
| ( ord_less_eq_a_o @ ( image_pname_a @ SV38 @ SY201 ) @ ( image_pname_a @ SV38 @ SY202 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[884]) ).
thf(949,plain,
! [SV39: x_a > $o] :
( ( ! [SY203: x_a > $o,SY204: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY203 @ SY204 )
| ( SY204 != SV39 )
| ( ord_less_eq_a_o @ SY203 @ SV39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[885]) ).
thf(950,plain,
! [SV40: x_a] :
( ( ! [SY205: x_a > $o] :
( ( insert_a @ SV40 @ SY205 )
!= bot_bot_a_o ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[886]) ).
thf(951,plain,
! [SV41: x_a] :
( ( ! [SY206: x_a > $o,SY207: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY206 @ SY207 )
| ~ ( member_a @ SV41 @ SY206 )
| ( member_a @ SV41 @ SY207 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[887]) ).
thf(952,plain,
! [SV42: x_a] :
( ( ! [SY208: x_a > $o,SY209: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY208 @ SY209 )
| ( ord_less_eq_o @ ( SY208 @ SV42 ) @ ( SY209 @ SV42 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[888]) ).
thf(953,plain,
! [SV43: x_a] :
( ( ! [SY210: x_a] :
( ( ( insert_a @ SV43 @ bot_bot_a_o )
!= ( insert_a @ SY210 @ bot_bot_a_o ) )
| ( SV43 = SY210 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[889]) ).
thf(954,plain,
! [SV44: x_a > $o] :
( ( ! [SY211: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV44 @ SY211 )
| ( p @ SY211 @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[890]) ).
thf(955,plain,
! [SV45: x_a > $o] :
( ( ! [SY212: x_a] :
( ~ ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SY212 @ bot_bot_a_o ) )
| ( SV45 = bot_bot_a_o )
| ( SV45
= ( insert_a @ SY212 @ bot_bot_a_o ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[891]) ).
thf(956,plain,
! [SV46: x_a] :
( ( ! [SY213: x_a > $o] :
( ( insert_a @ SV46 @ ( collect_a @ SY213 ) )
= ( collect_a
@ ^ [SY214: x_a] :
( ~ ( ( SY214 != SV46 ) )
| ( SY213 @ SY214 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[892]) ).
thf(957,plain,
! [SV47: x_a > $o] :
( ( ! [SY215: x_a > $o] :
( ( SV47 != SY215 )
| ( ord_less_eq_a_o @ SY215 @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[893]) ).
thf(958,plain,
! [SV48: x_a > $o] :
( ( ! [SY216: x_a > $o] :
( ~ ( finite_finite_a @ SY216 )
| ~ ( ord_less_eq_a_o @ SV48 @ SY216 )
| ( finite_finite_a @ SV48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[894]) ).
thf(959,plain,
! [SV49: x_a] :
( ( ! [SY217: x_a,SY218: x_a > $o] :
~ ( ~ ( ~ ( member_a @ SV49 @ ( insert_a @ SY217 @ SY218 ) )
| ( SV49 = SY217 )
| ( member_a @ SV49 @ SY218 ) )
| ~ ( ~ ( ( SV49 = SY217 )
| ( member_a @ SV49 @ SY218 ) )
| ( member_a @ SV49 @ ( insert_a @ SY217 @ SY218 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[895]) ).
thf(960,plain,
! [SV50: x_a] :
( ( ! [SY219: x_a > $o,SY220: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY219 @ SY220 )
| ( ord_less_eq_a_o @ SY219 @ ( insert_a @ SV50 @ SY220 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[896]) ).
thf(961,plain,
! [SV51: x_a > $o] :
( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
| ( SV51 = bot_bot_a_o ) )
| ~ ( ( SV51 != bot_bot_a_o )
| ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[897]) ).
thf(962,plain,
! [SV52: x_a > $o] :
( ( ! [SY221: x_a > $o,SY222: x_a > $o] :
( ( SY221 != SY222 )
| ~ ( ord_less_eq_a_o @ SY222 @ SV52 )
| ( ord_less_eq_a_o @ SY221 @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[898]) ).
thf(963,plain,
! [SV53: x_a] :
( ( ! [SY223: x_a,SY224: x_a > $o] :
( ~ ( ~ ~ ( member_a @ SY223 @ SY224 )
| ( SY223 = SV53 ) )
| ( member_a @ SY223 @ ( insert_a @ SV53 @ SY224 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[899]) ).
thf(964,plain,
! [SV54: x_a > $o] :
( ( ! [SY225: pname > x_a,SY226: pname > $o] :
~ ( ~ ( ~ ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SY225 @ SY226 ) )
| ~ ! [SY227: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY227 @ SY226 )
| ( SV54
!= ( image_pname_a @ SY225 @ SY227 ) ) ) )
| ~ ( ~ ~ ! [SY228: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY228 @ SY226 )
| ( SV54
!= ( image_pname_a @ SY225 @ SY228 ) ) )
| ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SY225 @ SY226 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[900]) ).
thf(965,plain,
! [SV55: x_a] :
( ( ! [SY229: x_a > $o,SY230: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY229 @ SY230 )
| ( ord_less_eq_a_o @ ( insert_a @ SV55 @ SY229 ) @ ( insert_a @ SV55 @ SY230 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[901]) ).
thf(966,plain,
! [SV56: x_a] :
( ( ! [SY231: x_a > $o,SY232: x_a > $o] :
~ ( ~ ( ~ ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SY231 ) @ SY232 )
| ~ ( ~ ( member_a @ SV56 @ SY232 )
| ~ ( ord_less_eq_a_o @ SY231 @ SY232 ) ) )
| ~ ( ~ ~ ( ~ ( member_a @ SV56 @ SY232 )
| ~ ( ord_less_eq_a_o @ SY231 @ SY232 ) )
| ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SY231 ) @ SY232 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[902]) ).
thf(967,plain,
! [SV57: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o )
| ( SV57 = bot_bot_a_o ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[903]) ).
thf(968,plain,
! [SV58: x_a] :
( ( ! [SY233: x_a > $o] :
( ~ ( member_a @ SV58 @ SY233 )
| ( ( insert_a @ SV58 @ SY233 )
= SY233 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[904]) ).
thf(969,plain,
! [SV59: x_a] :
( ( ! [SY234: x_a > $o,SY235: x_a] :
~ ( ~ ( ~ ( insert_a @ SV59 @ SY234 @ SY235 )
| ( SV59 = SY235 )
| ( SY234 @ SY235 ) )
| ~ ( ~ ( ( SV59 = SY235 )
| ( SY234 @ SY235 ) )
| ( insert_a @ SV59 @ SY234 @ SY235 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[905]) ).
thf(970,plain,
! [SV60: pname > x_a] :
( ( ! [SY236: pname,SY237: pname > $o] :
( ~ ( member_pname @ SY236 @ SY237 )
| ( ( insert_a @ ( SV60 @ SY236 ) @ ( image_pname_a @ SV60 @ SY237 ) )
= ( image_pname_a @ SV60 @ SY237 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[906]) ).
thf(971,plain,
! [SV61: x_a > $o] :
( ( ! [SY238: x_a > $o,SY239: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY238 @ SY239 )
| ~ ( ord_less_eq_a_o @ SY239 @ SV61 )
| ( ord_less_eq_a_o @ SY238 @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[907]) ).
thf(972,plain,
! [SV62: x_a > $o] :
( ( ! [SY240: x_a > $o] :
( ~ ! [SY241: x_a] :
( ~ ( member_a @ SY241 @ SY240 )
| ( member_a @ SY241 @ SV62 ) )
| ( ord_less_eq_a_o @ SY240 @ SV62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[908]) ).
thf(973,plain,
! [SV63: x_a > $o,SV1: x_a] :
( ( member_a @ SV1 @ ( insert_a @ SV1 @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[910]) ).
thf(974,plain,
! [SV64: x_a > $o,SV2: x_a] :
( ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) )
= ( insert_a @ SV2 @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[911]) ).
thf(975,plain,
! [SV65: x_a,SV3: x_a] :
( ( ! [SY242: x_a > $o] :
( ( insert_a @ SV3 @ ( insert_a @ SV65 @ SY242 ) )
= ( insert_a @ SV65 @ ( insert_a @ SV3 @ SY242 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[912]) ).
thf(976,plain,
! [SV66: x_a,SV5: x_a > $o] :
( ( ord_less_eq_a_o @ SV5 @ ( insert_a @ SV66 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[914]) ).
thf(977,plain,
! [SV67: pname,SV6: pname > x_a] :
( ( ! [SY243: pname > $o] :
( ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SY243 ) )
= ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SY243 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[915]) ).
thf(978,plain,
! [SV10: x_a > $o,SV68: x_a] :
( ( ! [SY244: x_a > $o] :
( ~ ~ ( member_a @ SV68 @ SY244 )
| ~ ( ~ ( ~ ( ord_less_eq_a_o @ SY244 @ ( insert_a @ SV68 @ SV10 ) )
| ( ord_less_eq_a_o @ SY244 @ SV10 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SY244 @ SV10 )
| ( ord_less_eq_a_o @ SY244 @ ( insert_a @ SV68 @ SV10 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[920]) ).
thf(979,plain,
! [SV11: x_a > $o] :
( ( ~ ( ~ ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
| ( SV11 = bot_bot_a_o ) )
| ~ ( ( SV11 != bot_bot_a_o )
| ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(980,plain,
! [SV69: x_a > $o,SV12: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV12 @ SV69 )
| ~ ( ord_less_eq_a_o @ SV69 @ SV12 )
| ( SV12 = SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[922]) ).
thf(981,plain,
! [SV13: x_a > $o,SV70: x_a > $o] :
( ( ! [SY245: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV70 @ SY245 )
| ( SV70 != SV13 )
| ( ord_less_eq_a_o @ SV13 @ SY245 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[923]) ).
thf(982,plain,
! [SV71: x_a > $o,SV14: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV14 @ SV71 )
| ~ ( finite_finite_a @ SV71 )
| ( finite_finite_a @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[924]) ).
thf(983,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( SV15 != SV72 )
| ~ ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 )
| ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[925]) ).
thf(984,plain,
! [SV16: x_a,SV73: x_a > $o] :
( ( ! [SY246: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV73 @ SY246 )
| ~ ( member_a @ SV16 @ SV73 )
| ( member_a @ SV16 @ SY246 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[926]) ).
thf(985,plain,
! [SV17: x_a > $o,SV74: x_a > $o] :
( ( ! [SY247: x_a > $o] :
( ( SV74 != SY247 )
| ~ ( ord_less_eq_a_o @ SV17 @ SY247 )
| ( ord_less_eq_a_o @ SV17 @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[927]) ).
thf(986,plain,
! [SV75: x_a > $o,SV18: x_a > $o] :
( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV18 @ SV75 )
| ! [SY248: x_a] : ( ord_less_eq_o @ ( SV18 @ SY248 ) @ ( SV75 @ SY248 ) ) )
| ~ ( ~ ! [SY249: x_a] : ( ord_less_eq_o @ ( SV18 @ SY249 ) @ ( SV75 @ SY249 ) )
| ( ord_less_eq_a_o @ SV18 @ SV75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[928]) ).
thf(987,plain,
! [SV19: x_a > $o,SV76: x_a > $o] :
( ( ! [SY250: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV76 @ SY250 )
| ~ ( ord_less_eq_a_o @ SY250 @ SV19 )
| ( ord_less_eq_a_o @ SV76 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[929]) ).
thf(988,plain,
! [SV77: x_a > $o,SV20: x_a] :
( ( ~ ( ~ ( ~ ( finite_finite_a @ ( insert_a @ SV20 @ SV77 ) )
| ( finite_finite_a @ SV77 ) )
| ~ ( ~ ( finite_finite_a @ SV77 )
| ( finite_finite_a @ ( insert_a @ SV20 @ SV77 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[930]) ).
thf(989,plain,
! [SV78: x_a,SV21: x_a] :
( ( ! [SY251: x_a > $o] :
( ~ ( member_a @ SV21 @ ( insert_a @ SV78 @ SY251 ) )
| ~ ( ( SV21 != SV78 ) )
| ( member_a @ SV21 @ SY251 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[931]) ).
thf(990,plain,
! [SV79: x_a > $o,SV22: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV22 @ SV79 )
| ~ ( ord_less_eq_a_o @ SV79 @ SV22 )
| ( SV22 = SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[932]) ).
thf(991,plain,
! [SV23: x_a,SV80: x_a > $o] :
( ( ! [SY252: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV80 @ SY252 )
| ( ord_less_eq_o @ ( SV80 @ SV23 ) @ ( SY252 @ SV23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(992,plain,
! [SV81: x_a > $o,SV24: x_a > $o] :
( ( ( SV24 != SV81 )
| ( ord_less_eq_a_o @ SV24 @ SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[934]) ).
thf(993,plain,
! [SV82: x_a > $o,SV25: x_a] :
( ( bot_bot_a_o
!= ( insert_a @ SV25 @ SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[935]) ).
thf(994,plain,
! [SV83: x_a > $o,SV26: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV26 @ SV83 )
| ~ ( ord_less_eq_a_o @ SV83 @ SV26 )
| ( SV83 = SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(995,plain,
! [SV27: x_a > $o,SV84: x_a] :
( ( ! [SY253: x_a > $o] :
( ~ ( member_a @ SV84 @ SY253 )
| ~ ( ord_less_eq_a_o @ SY253 @ SV27 )
| ( member_a @ SV84 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[937]) ).
thf(996,plain,
! [SV85: x_a > $o,SV28: x_a > $o] :
( ( ( SV28 != SV85 )
| ( ord_less_eq_a_o @ SV28 @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[938]) ).
thf(997,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ~ ( ~ ( ( SV29 != SV86 )
| ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) ) )
| ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) )
| ( SV29 = SV86 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[939]) ).
thf(998,plain,
! [SV30: x_a > $o,SV87: x_a] :
( ( ! [SY254: x_a > $o] :
( ~ ~ ( member_a @ SV87 @ SY254 )
| ~ ~ ( member_a @ SV87 @ SV30 )
| ~ ( ~ ( ( ( insert_a @ SV87 @ SY254 )
!= ( insert_a @ SV87 @ SV30 ) )
| ( SY254 = SV30 ) )
| ~ ( ( SY254 != SV30 )
| ( ( insert_a @ SV87 @ SY254 )
= ( insert_a @ SV87 @ SV30 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[940]) ).
thf(999,plain,
! [SV31: x_a,SV88: x_a > $o] :
( ( ! [SY255: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV88 @ SY255 )
| ~ ( member_a @ SV31 @ SV88 )
| ( member_a @ SV31 @ SY255 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[941]) ).
thf(1000,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ~ ( ~ ( ( SV32 != SV89 )
| ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) ) )
| ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) )
| ( SV32 = SV89 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[942]) ).
thf(1001,plain,
! [SV33: x_a,SV90: x_a] :
( ( ! [SY256: x_a > $o] :
( ~ ( member_a @ SV90 @ SY256 )
| ( member_a @ SV90 @ ( insert_a @ SV33 @ SY256 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[943]) ).
thf(1002,plain,
! [SV91: x_a > $o,SV34: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV34 @ SV91 )
| ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV91 @ SV34 )
| ( SV91 = SV34 ) )
| ~ ( ( SV91 != SV34 )
| ( ord_less_eq_a_o @ SV91 @ SV34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[944]) ).
thf(1003,plain,
! [SV35: x_a,SV92: x_a > $o] :
( ( ~ ( finite_finite_a @ SV92 )
| ( finite_finite_a @ ( insert_a @ SV35 @ SV92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(1004,plain,
! [SV93: x_a,SV36: x_a] :
( ( ! [SY257: x_a,SY258: x_a] :
~ ( ~ ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
!= ( insert_a @ SY257 @ ( insert_a @ SY258 @ bot_bot_a_o ) ) )
| ~ ( ( SV36 != SY257 )
| ( SV93 != SY258 ) )
| ~ ( ( SV36 != SY258 )
| ( SV93 != SY257 ) ) )
| ~ ( ~ ( ~ ( ( SV36 != SY257 )
| ( SV93 != SY258 ) )
| ~ ( ( SV36 != SY258 )
| ( SV93 != SY257 ) ) )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SY257 @ ( insert_a @ SY258 @ bot_bot_a_o ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[946]) ).
thf(1005,plain,
! [SV37: x_a > $o,SV94: x_a > $o] :
( ( ! [SY259: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV94 @ SY259 )
| ~ ( ord_less_eq_a_o @ SV37 @ SV94 )
| ( ord_less_eq_a_o @ SV37 @ SY259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[947]) ).
thf(1006,plain,
! [SV38: pname > x_a,SV95: pname > $o] :
( ( ! [SY260: pname > $o] :
( ~ ( ord_less_eq_pname_o @ SV95 @ SY260 )
| ( ord_less_eq_a_o @ ( image_pname_a @ SV38 @ SV95 ) @ ( image_pname_a @ SV38 @ SY260 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[948]) ).
thf(1007,plain,
! [SV39: x_a > $o,SV96: x_a > $o] :
( ( ! [SY261: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV96 @ SY261 )
| ( SY261 != SV39 )
| ( ord_less_eq_a_o @ SV96 @ SV39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[949]) ).
thf(1008,plain,
! [SV97: x_a > $o,SV40: x_a] :
( ( ( insert_a @ SV40 @ SV97 )
!= bot_bot_a_o )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[950]) ).
thf(1009,plain,
! [SV41: x_a,SV98: x_a > $o] :
( ( ! [SY262: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV98 @ SY262 )
| ~ ( member_a @ SV41 @ SV98 )
| ( member_a @ SV41 @ SY262 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(1010,plain,
! [SV42: x_a,SV99: x_a > $o] :
( ( ! [SY263: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV99 @ SY263 )
| ( ord_less_eq_o @ ( SV99 @ SV42 ) @ ( SY263 @ SV42 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[952]) ).
thf(1011,plain,
! [SV100: x_a,SV43: x_a] :
( ( ( ( insert_a @ SV43 @ bot_bot_a_o )
!= ( insert_a @ SV100 @ bot_bot_a_o ) )
| ( SV43 = SV100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[953]) ).
thf(1012,plain,
! [SV101: x_a > $o,SV44: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV44 @ SV101 )
| ( p @ SV101 @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[954]) ).
thf(1013,plain,
! [SV102: x_a,SV45: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
| ( SV45 = bot_bot_a_o )
| ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(1014,plain,
! [SV103: x_a > $o,SV46: x_a] :
( ( ( insert_a @ SV46 @ ( collect_a @ SV103 ) )
= ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[956]) ).
thf(1015,plain,
! [SV104: x_a > $o,SV47: x_a > $o] :
( ( ( SV47 != SV104 )
| ( ord_less_eq_a_o @ SV104 @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(1016,plain,
! [SV48: x_a > $o,SV105: x_a > $o] :
( ( ~ ( finite_finite_a @ SV105 )
| ~ ( ord_less_eq_a_o @ SV48 @ SV105 )
| ( finite_finite_a @ SV48 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[958]) ).
thf(1017,plain,
! [SV106: x_a,SV49: x_a] :
( ( ! [SY265: x_a > $o] :
~ ( ~ ( ~ ( member_a @ SV49 @ ( insert_a @ SV106 @ SY265 ) )
| ( SV49 = SV106 )
| ( member_a @ SV49 @ SY265 ) )
| ~ ( ~ ( ( SV49 = SV106 )
| ( member_a @ SV49 @ SY265 ) )
| ( member_a @ SV49 @ ( insert_a @ SV106 @ SY265 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[959]) ).
thf(1018,plain,
! [SV50: x_a,SV107: x_a > $o] :
( ( ! [SY266: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV107 @ SY266 )
| ( ord_less_eq_a_o @ SV107 @ ( insert_a @ SV50 @ SY266 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[960]) ).
thf(1019,plain,
! [SV51: x_a > $o] :
( ( ~ ( ~ ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
| ( SV51 = bot_bot_a_o ) )
| ~ ( ( SV51 != bot_bot_a_o )
| ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[961]) ).
thf(1020,plain,
! [SV52: x_a > $o,SV108: x_a > $o] :
( ( ! [SY267: x_a > $o] :
( ( SV108 != SY267 )
| ~ ( ord_less_eq_a_o @ SY267 @ SV52 )
| ( ord_less_eq_a_o @ SV108 @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[962]) ).
thf(1021,plain,
! [SV53: x_a,SV109: x_a] :
( ( ! [SY268: x_a > $o] :
( ~ ( ~ ~ ( member_a @ SV109 @ SY268 )
| ( SV109 = SV53 ) )
| ( member_a @ SV109 @ ( insert_a @ SV53 @ SY268 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[963]) ).
thf(1022,plain,
! [SV110: pname > x_a,SV54: x_a > $o] :
( ( ! [SY269: pname > $o] :
~ ( ~ ( ~ ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SY269 ) )
| ~ ! [SY270: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY270 @ SY269 )
| ( SV54
!= ( image_pname_a @ SV110 @ SY270 ) ) ) )
| ~ ( ~ ~ ! [SY271: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY271 @ SY269 )
| ( SV54
!= ( image_pname_a @ SV110 @ SY271 ) ) )
| ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SY269 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[964]) ).
thf(1023,plain,
! [SV55: x_a,SV111: x_a > $o] :
( ( ! [SY272: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV111 @ SY272 )
| ( ord_less_eq_a_o @ ( insert_a @ SV55 @ SV111 ) @ ( insert_a @ SV55 @ SY272 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[965]) ).
thf(1024,plain,
! [SV112: x_a > $o,SV56: x_a] :
( ( ! [SY273: x_a > $o] :
~ ( ~ ( ~ ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SY273 )
| ~ ( ~ ( member_a @ SV56 @ SY273 )
| ~ ( ord_less_eq_a_o @ SV112 @ SY273 ) ) )
| ~ ( ~ ~ ( ~ ( member_a @ SV56 @ SY273 )
| ~ ( ord_less_eq_a_o @ SV112 @ SY273 ) )
| ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SY273 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[966]) ).
thf(1025,plain,
! [SV57: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o ) )
= $true )
| ( ( SV57 = bot_bot_a_o )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(1026,plain,
! [SV113: x_a > $o,SV58: x_a] :
( ( ~ ( member_a @ SV58 @ SV113 )
| ( ( insert_a @ SV58 @ SV113 )
= SV113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[968]) ).
thf(1027,plain,
! [SV114: x_a > $o,SV59: x_a] :
( ( ! [SY274: x_a] :
~ ( ~ ( ~ ( insert_a @ SV59 @ SV114 @ SY274 )
| ( SV59 = SY274 )
| ( SV114 @ SY274 ) )
| ~ ( ~ ( ( SV59 = SY274 )
| ( SV114 @ SY274 ) )
| ( insert_a @ SV59 @ SV114 @ SY274 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[969]) ).
thf(1028,plain,
! [SV60: pname > x_a,SV115: pname] :
( ( ! [SY275: pname > $o] :
( ~ ( member_pname @ SV115 @ SY275 )
| ( ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SY275 ) )
= ( image_pname_a @ SV60 @ SY275 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[970]) ).
thf(1029,plain,
! [SV61: x_a > $o,SV116: x_a > $o] :
( ( ! [SY276: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV116 @ SY276 )
| ~ ( ord_less_eq_a_o @ SY276 @ SV61 )
| ( ord_less_eq_a_o @ SV116 @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(1030,plain,
! [SV62: x_a > $o,SV117: x_a > $o] :
( ( ~ ! [SY277: x_a] :
( ~ ( member_a @ SY277 @ SV117 )
| ( member_a @ SY277 @ SV62 ) )
| ( ord_less_eq_a_o @ SV117 @ SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[972]) ).
thf(1031,plain,
! [SV64: x_a > $o,SV2: x_a] :
( ( ! [SV118: x_a] :
( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV118 )
= ( insert_a @ SV2 @ SV64 @ SV118 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[974]) ).
thf(1032,plain,
! [SV64: x_a > $o,SV2: x_a] :
( ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) )
= ( insert_a @ SV2 @ SV64 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[974]) ).
thf(1033,plain,
! [SV119: x_a > $o,SV65: x_a,SV3: x_a] :
( ( ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) )
= ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[975]) ).
thf(1034,plain,
! [SV120: pname > $o,SV67: pname,SV6: pname > x_a] :
( ( ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) )
= ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[977]) ).
thf(1035,plain,
! [SV10: x_a > $o,SV121: x_a > $o,SV68: x_a] :
( ( ~ ~ ( member_a @ SV68 @ SV121 )
| ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV121 @ ( insert_a @ SV68 @ SV10 ) )
| ( ord_less_eq_a_o @ SV121 @ SV10 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SV121 @ SV10 )
| ( ord_less_eq_a_o @ SV121 @ ( insert_a @ SV68 @ SV10 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[978]) ).
thf(1036,plain,
! [SV11: x_a > $o] :
( ( ~ ( ~ ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
| ( SV11 = bot_bot_a_o ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[979]) ).
thf(1037,plain,
! [SV11: x_a > $o] :
( ( ~ ( ( SV11 != bot_bot_a_o )
| ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[979]) ).
thf(1038,plain,
! [SV69: x_a > $o,SV12: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV12 @ SV69 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV69 @ SV12 )
| ( SV12 = SV69 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[980]) ).
thf(1039,plain,
! [SV13: x_a > $o,SV122: x_a > $o,SV70: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV70 @ SV122 )
| ( SV70 != SV13 )
| ( ord_less_eq_a_o @ SV13 @ SV122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[981]) ).
thf(1040,plain,
! [SV71: x_a > $o,SV14: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV14 @ SV71 ) )
= $true )
| ( ( ~ ( finite_finite_a @ SV71 )
| ( finite_finite_a @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[982]) ).
thf(1041,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( SV15 != SV72 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 )
| ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[983]) ).
thf(1042,plain,
! [SV16: x_a,SV123: x_a > $o,SV73: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV73 @ SV123 )
| ~ ( member_a @ SV16 @ SV73 )
| ( member_a @ SV16 @ SV123 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[984]) ).
thf(1043,plain,
! [SV17: x_a > $o,SV124: x_a > $o,SV74: x_a > $o] :
( ( ( SV74 != SV124 )
| ~ ( ord_less_eq_a_o @ SV17 @ SV124 )
| ( ord_less_eq_a_o @ SV17 @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[985]) ).
thf(1044,plain,
! [SV75: x_a > $o,SV18: x_a > $o] :
( ( ~ ( ~ ( ord_less_eq_a_o @ SV18 @ SV75 )
| ! [SY248: x_a] : ( ord_less_eq_o @ ( SV18 @ SY248 ) @ ( SV75 @ SY248 ) ) )
| ~ ( ~ ! [SY249: x_a] : ( ord_less_eq_o @ ( SV18 @ SY249 ) @ ( SV75 @ SY249 ) )
| ( ord_less_eq_a_o @ SV18 @ SV75 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1045,plain,
! [SV19: x_a > $o,SV125: x_a > $o,SV76: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV76 @ SV125 )
| ~ ( ord_less_eq_a_o @ SV125 @ SV19 )
| ( ord_less_eq_a_o @ SV76 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[987]) ).
thf(1046,plain,
! [SV77: x_a > $o,SV20: x_a] :
( ( ~ ( ~ ( finite_finite_a @ ( insert_a @ SV20 @ SV77 ) )
| ( finite_finite_a @ SV77 ) )
| ~ ( ~ ( finite_finite_a @ SV77 )
| ( finite_finite_a @ ( insert_a @ SV20 @ SV77 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[988]) ).
thf(1047,plain,
! [SV126: x_a > $o,SV78: x_a,SV21: x_a] :
( ( ~ ( member_a @ SV21 @ ( insert_a @ SV78 @ SV126 ) )
| ~ ( ( SV21 != SV78 ) )
| ( member_a @ SV21 @ SV126 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[989]) ).
thf(1048,plain,
! [SV79: x_a > $o,SV22: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV22 @ SV79 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV79 @ SV22 )
| ( SV22 = SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[990]) ).
thf(1049,plain,
! [SV23: x_a,SV127: x_a > $o,SV80: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV80 @ SV127 )
| ( ord_less_eq_o @ ( SV80 @ SV23 ) @ ( SV127 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[991]) ).
thf(1050,plain,
! [SV81: x_a > $o,SV24: x_a > $o] :
( ( ( SV24 != SV81 )
= $true )
| ( ( ord_less_eq_a_o @ SV24 @ SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[992]) ).
thf(1051,plain,
! [SV82: x_a > $o,SV25: x_a] :
( ( bot_bot_a_o
= ( insert_a @ SV25 @ SV82 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1052,plain,
! [SV83: x_a > $o,SV26: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV26 @ SV83 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV83 @ SV26 )
| ( SV83 = SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[994]) ).
thf(1053,plain,
! [SV27: x_a > $o,SV128: x_a > $o,SV84: x_a] :
( ( ~ ( member_a @ SV84 @ SV128 )
| ~ ( ord_less_eq_a_o @ SV128 @ SV27 )
| ( member_a @ SV84 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[995]) ).
thf(1054,plain,
! [SV85: x_a > $o,SV28: x_a > $o] :
( ( ( SV28 != SV85 )
= $true )
| ( ( ord_less_eq_a_o @ SV28 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[996]) ).
thf(1055,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ~ ( ( SV29 != SV86 )
| ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) ) )
| ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) )
| ( SV29 = SV86 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1056,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ~ ~ ( member_a @ SV87 @ SV129 )
| ~ ~ ( member_a @ SV87 @ SV30 )
| ~ ( ~ ( ( ( insert_a @ SV87 @ SV129 )
!= ( insert_a @ SV87 @ SV30 ) )
| ( SV129 = SV30 ) )
| ~ ( ( SV129 != SV30 )
| ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[998]) ).
thf(1057,plain,
! [SV31: x_a,SV130: x_a > $o,SV88: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV88 @ SV130 )
| ~ ( member_a @ SV31 @ SV88 )
| ( member_a @ SV31 @ SV130 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[999]) ).
thf(1058,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ~ ( ( SV32 != SV89 )
| ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) ) )
| ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) )
| ( SV32 = SV89 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1059,plain,
! [SV33: x_a,SV131: x_a > $o,SV90: x_a] :
( ( ~ ( member_a @ SV90 @ SV131 )
| ( member_a @ SV90 @ ( insert_a @ SV33 @ SV131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1001]) ).
thf(1060,plain,
! [SV91: x_a > $o,SV34: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV34 @ SV91 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV91 @ SV34 )
| ( SV91 = SV34 ) )
| ~ ( ( SV91 != SV34 )
| ( ord_less_eq_a_o @ SV91 @ SV34 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1002]) ).
thf(1061,plain,
! [SV35: x_a,SV92: x_a > $o] :
( ( ( ~ ( finite_finite_a @ SV92 ) )
= $true )
| ( ( finite_finite_a @ ( insert_a @ SV35 @ SV92 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1003]) ).
thf(1062,plain,
! [SV132: x_a,SV93: x_a,SV36: x_a] :
( ( ! [SY278: x_a] :
~ ( ~ ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
!= ( insert_a @ SV132 @ ( insert_a @ SY278 @ bot_bot_a_o ) ) )
| ~ ( ( SV36 != SV132 )
| ( SV93 != SY278 ) )
| ~ ( ( SV36 != SY278 )
| ( SV93 != SV132 ) ) )
| ~ ( ~ ( ~ ( ( SV36 != SV132 )
| ( SV93 != SY278 ) )
| ~ ( ( SV36 != SY278 )
| ( SV93 != SV132 ) ) )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SY278 @ bot_bot_a_o ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1004]) ).
thf(1063,plain,
! [SV37: x_a > $o,SV133: x_a > $o,SV94: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV94 @ SV133 )
| ~ ( ord_less_eq_a_o @ SV37 @ SV94 )
| ( ord_less_eq_a_o @ SV37 @ SV133 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1005]) ).
thf(1064,plain,
! [SV38: pname > x_a,SV134: pname > $o,SV95: pname > $o] :
( ( ~ ( ord_less_eq_pname_o @ SV95 @ SV134 )
| ( ord_less_eq_a_o @ ( image_pname_a @ SV38 @ SV95 ) @ ( image_pname_a @ SV38 @ SV134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1006]) ).
thf(1065,plain,
! [SV39: x_a > $o,SV135: x_a > $o,SV96: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV96 @ SV135 )
| ( SV135 != SV39 )
| ( ord_less_eq_a_o @ SV96 @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1007]) ).
thf(1066,plain,
! [SV97: x_a > $o,SV40: x_a] :
( ( ( insert_a @ SV40 @ SV97 )
= bot_bot_a_o )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1008]) ).
thf(1067,plain,
! [SV41: x_a,SV136: x_a > $o,SV98: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV98 @ SV136 )
| ~ ( member_a @ SV41 @ SV98 )
| ( member_a @ SV41 @ SV136 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1009]) ).
thf(1068,plain,
! [SV42: x_a,SV137: x_a > $o,SV99: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV99 @ SV137 )
| ( ord_less_eq_o @ ( SV99 @ SV42 ) @ ( SV137 @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1010]) ).
thf(1069,plain,
! [SV100: x_a,SV43: x_a] :
( ( ( ( insert_a @ SV43 @ bot_bot_a_o )
!= ( insert_a @ SV100 @ bot_bot_a_o ) )
= $true )
| ( ( SV43 = SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1011]) ).
thf(1070,plain,
! [SV101: x_a > $o,SV44: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV44 @ SV101 ) )
= $true )
| ( ( p @ SV101 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1012]) ).
thf(1071,plain,
! [SV102: x_a,SV45: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) ) )
= $true )
| ( ( ( SV45 = bot_bot_a_o )
| ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1013]) ).
thf(1072,plain,
! [SV103: x_a > $o,SV46: x_a] :
( ( ! [SV138: x_a] :
( ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV138 )
= ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV138 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1014]) ).
thf(1073,plain,
! [SV103: x_a > $o,SV46: x_a] :
( ( ( insert_a @ SV46 @ ( collect_a @ SV103 ) )
= ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1014]) ).
thf(1074,plain,
! [SV104: x_a > $o,SV47: x_a > $o] :
( ( ( SV47 != SV104 )
= $true )
| ( ( ord_less_eq_a_o @ SV104 @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1015]) ).
thf(1075,plain,
! [SV48: x_a > $o,SV105: x_a > $o] :
( ( ( ~ ( finite_finite_a @ SV105 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV48 @ SV105 )
| ( finite_finite_a @ SV48 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1016]) ).
thf(1076,plain,
! [SV139: x_a > $o,SV106: x_a,SV49: x_a] :
( ( ~ ( ~ ( ~ ( member_a @ SV49 @ ( insert_a @ SV106 @ SV139 ) )
| ( SV49 = SV106 )
| ( member_a @ SV49 @ SV139 ) )
| ~ ( ~ ( ( SV49 = SV106 )
| ( member_a @ SV49 @ SV139 ) )
| ( member_a @ SV49 @ ( insert_a @ SV106 @ SV139 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1017]) ).
thf(1077,plain,
! [SV50: x_a,SV140: x_a > $o,SV107: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV107 @ SV140 )
| ( ord_less_eq_a_o @ SV107 @ ( insert_a @ SV50 @ SV140 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1018]) ).
thf(1078,plain,
! [SV51: x_a > $o] :
( ( ~ ( ~ ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
| ( SV51 = bot_bot_a_o ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1019]) ).
thf(1079,plain,
! [SV51: x_a > $o] :
( ( ~ ( ( SV51 != bot_bot_a_o )
| ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1019]) ).
thf(1080,plain,
! [SV52: x_a > $o,SV141: x_a > $o,SV108: x_a > $o] :
( ( ( SV108 != SV141 )
| ~ ( ord_less_eq_a_o @ SV141 @ SV52 )
| ( ord_less_eq_a_o @ SV108 @ SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1020]) ).
thf(1081,plain,
! [SV53: x_a,SV142: x_a > $o,SV109: x_a] :
( ( ~ ( ~ ~ ( member_a @ SV109 @ SV142 )
| ( SV109 = SV53 ) )
| ( member_a @ SV109 @ ( insert_a @ SV53 @ SV142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1021]) ).
thf(1082,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV54: x_a > $o] :
( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
| ~ ! [SY280: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY280 @ SV143 )
| ( SV54
!= ( image_pname_a @ SV110 @ SY280 ) ) ) )
| ~ ( ~ ~ ! [SY281: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY281 @ SV143 )
| ( SV54
!= ( image_pname_a @ SV110 @ SY281 ) ) )
| ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1022]) ).
thf(1083,plain,
! [SV55: x_a,SV144: x_a > $o,SV111: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV111 @ SV144 )
| ( ord_less_eq_a_o @ ( insert_a @ SV55 @ SV111 ) @ ( insert_a @ SV55 @ SV144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1023]) ).
thf(1084,plain,
! [SV145: x_a > $o,SV112: x_a > $o,SV56: x_a] :
( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SV145 )
| ~ ( ~ ( member_a @ SV56 @ SV145 )
| ~ ( ord_less_eq_a_o @ SV112 @ SV145 ) ) )
| ~ ( ~ ~ ( ~ ( member_a @ SV56 @ SV145 )
| ~ ( ord_less_eq_a_o @ SV112 @ SV145 ) )
| ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SV145 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1024]) ).
thf(1085,plain,
! [SV57: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o )
= $false )
| ( ( SV57 = bot_bot_a_o )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1086,plain,
! [SV113: x_a > $o,SV58: x_a] :
( ( ( ~ ( member_a @ SV58 @ SV113 ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV113 )
= SV113 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1026]) ).
thf(1087,plain,
! [SV146: x_a,SV114: x_a > $o,SV59: x_a] :
( ( ~ ( ~ ( ~ ( insert_a @ SV59 @ SV114 @ SV146 )
| ( SV59 = SV146 )
| ( SV114 @ SV146 ) )
| ~ ( ~ ( ( SV59 = SV146 )
| ( SV114 @ SV146 ) )
| ( insert_a @ SV59 @ SV114 @ SV146 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1027]) ).
thf(1088,plain,
! [SV60: pname > x_a,SV147: pname > $o,SV115: pname] :
( ( ~ ( member_pname @ SV115 @ SV147 )
| ( ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) )
= ( image_pname_a @ SV60 @ SV147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1028]) ).
thf(1089,plain,
! [SV61: x_a > $o,SV148: x_a > $o,SV116: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV116 @ SV148 )
| ~ ( ord_less_eq_a_o @ SV148 @ SV61 )
| ( ord_less_eq_a_o @ SV116 @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1029]) ).
thf(1090,plain,
! [SV62: x_a > $o,SV117: x_a > $o] :
( ( ( ~ ! [SY277: x_a] :
( ~ ( member_a @ SY277 @ SV117 )
| ( member_a @ SY277 @ SV62 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV117 @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1030]) ).
thf(1091,plain,
! [SV149: x_a,SV64: x_a > $o,SV2: x_a] :
( ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 )
= ( insert_a @ SV2 @ SV64 @ SV149 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1031]) ).
thf(1092,plain,
! [SV119: x_a > $o,SV65: x_a,SV3: x_a] :
( ( ! [SV150: x_a] :
( ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV150 )
= ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV150 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1033]) ).
thf(1093,plain,
! [SV119: x_a > $o,SV65: x_a,SV3: x_a] :
( ( ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) )
= ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1033]) ).
thf(1094,plain,
! [SV120: pname > $o,SV67: pname,SV6: pname > x_a] :
( ( ! [SV151: x_a] :
( ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV151 )
= ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV151 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1034]) ).
thf(1095,plain,
! [SV120: pname > $o,SV67: pname,SV6: pname > x_a] :
( ( ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) )
= ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1034]) ).
thf(1096,plain,
! [SV10: x_a > $o,SV121: x_a > $o,SV68: x_a] :
( ( ( ~ ~ ( member_a @ SV68 @ SV121 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV121 @ ( insert_a @ SV68 @ SV10 ) )
| ( ord_less_eq_a_o @ SV121 @ SV10 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SV121 @ SV10 )
| ( ord_less_eq_a_o @ SV121 @ ( insert_a @ SV68 @ SV10 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1035]) ).
thf(1097,plain,
! [SV11: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
| ( SV11 = bot_bot_a_o ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1036]) ).
thf(1098,plain,
! [SV11: x_a > $o] :
( ( ( SV11 != bot_bot_a_o )
| ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1037]) ).
thf(1099,plain,
! [SV69: x_a > $o,SV12: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV69 @ SV12 )
| ( SV12 = SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1038]) ).
thf(1100,plain,
! [SV13: x_a > $o,SV122: x_a > $o,SV70: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV70 @ SV122 ) )
= $true )
| ( ( ( SV70 != SV13 )
| ( ord_less_eq_a_o @ SV13 @ SV122 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1039]) ).
thf(1101,plain,
! [SV71: x_a > $o,SV14: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV14 @ SV71 )
= $false )
| ( ( ~ ( finite_finite_a @ SV71 )
| ( finite_finite_a @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1102,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( SV15 = SV72 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 )
| ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1041]) ).
thf(1103,plain,
! [SV16: x_a,SV123: x_a > $o,SV73: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV73 @ SV123 ) )
= $true )
| ( ( ~ ( member_a @ SV16 @ SV73 )
| ( member_a @ SV16 @ SV123 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1042]) ).
thf(1104,plain,
! [SV17: x_a > $o,SV124: x_a > $o,SV74: x_a > $o] :
( ( ( SV74 != SV124 )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV124 )
| ( ord_less_eq_a_o @ SV17 @ SV74 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1043]) ).
thf(1105,plain,
! [SV75: x_a > $o,SV18: x_a > $o] :
( ( ~ ( ~ ( ord_less_eq_a_o @ SV18 @ SV75 )
| ! [SY248: x_a] : ( ord_less_eq_o @ ( SV18 @ SY248 ) @ ( SV75 @ SY248 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1044]) ).
thf(1106,plain,
! [SV75: x_a > $o,SV18: x_a > $o] :
( ( ~ ( ~ ! [SY249: x_a] : ( ord_less_eq_o @ ( SV18 @ SY249 ) @ ( SV75 @ SY249 ) )
| ( ord_less_eq_a_o @ SV18 @ SV75 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1044]) ).
thf(1107,plain,
! [SV19: x_a > $o,SV125: x_a > $o,SV76: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV76 @ SV125 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV125 @ SV19 )
| ( ord_less_eq_a_o @ SV76 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1045]) ).
thf(1108,plain,
! [SV77: x_a > $o,SV20: x_a] :
( ( ~ ( ~ ( finite_finite_a @ ( insert_a @ SV20 @ SV77 ) )
| ( finite_finite_a @ SV77 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1046]) ).
thf(1109,plain,
! [SV20: x_a,SV77: x_a > $o] :
( ( ~ ( ~ ( finite_finite_a @ SV77 )
| ( finite_finite_a @ ( insert_a @ SV20 @ SV77 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1046]) ).
thf(1110,plain,
! [SV126: x_a > $o,SV78: x_a,SV21: x_a] :
( ( ( ~ ( member_a @ SV21 @ ( insert_a @ SV78 @ SV126 ) ) )
= $true )
| ( ( ~ ( ( SV21 != SV78 ) )
| ( member_a @ SV21 @ SV126 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1047]) ).
thf(1111,plain,
! [SV79: x_a > $o,SV22: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV79 @ SV22 )
| ( SV22 = SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1048]) ).
thf(1112,plain,
! [SV23: x_a,SV127: x_a > $o,SV80: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV80 @ SV127 ) )
= $true )
| ( ( ord_less_eq_o @ ( SV80 @ SV23 ) @ ( SV127 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1049]) ).
thf(1113,plain,
! [SV81: x_a > $o,SV24: x_a > $o] :
( ( ( SV24 = SV81 )
= $false )
| ( ( ord_less_eq_a_o @ SV24 @ SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1050]) ).
thf(1114,plain,
! [SV82: x_a > $o,SV25: x_a] :
( ( ! [SV152: x_a] :
( ( bot_bot_a_o @ SV152 )
= ( insert_a @ SV25 @ SV82 @ SV152 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[1051]) ).
thf(1115,plain,
! [SV82: x_a > $o,SV25: x_a] :
( ( bot_bot_a_o
= ( insert_a @ SV25 @ SV82 ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[1051]) ).
thf(1116,plain,
! [SV83: x_a > $o,SV26: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV83 @ SV26 )
| ( SV83 = SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1052]) ).
thf(1117,plain,
! [SV27: x_a > $o,SV128: x_a > $o,SV84: x_a] :
( ( ( ~ ( member_a @ SV84 @ SV128 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV128 @ SV27 )
| ( member_a @ SV84 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1053]) ).
thf(1118,plain,
! [SV85: x_a > $o,SV28: x_a > $o] :
( ( ( SV28 = SV85 )
= $false )
| ( ( ord_less_eq_a_o @ SV28 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1054]) ).
thf(1119,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ~ ( ( SV29 != SV86 )
| ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1055]) ).
thf(1120,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) )
| ( SV29 = SV86 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1055]) ).
thf(1121,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ~ ( member_a @ SV87 @ SV129 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV87 @ SV30 )
| ~ ( ~ ( ( ( insert_a @ SV87 @ SV129 )
!= ( insert_a @ SV87 @ SV30 ) )
| ( SV129 = SV30 ) )
| ~ ( ( SV129 != SV30 )
| ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1056]) ).
thf(1122,plain,
! [SV31: x_a,SV130: x_a > $o,SV88: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV88 @ SV130 ) )
= $true )
| ( ( ~ ( member_a @ SV31 @ SV88 )
| ( member_a @ SV31 @ SV130 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1057]) ).
thf(1123,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ~ ( ( SV32 != SV89 )
| ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1058]) ).
thf(1124,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) )
| ( SV32 = SV89 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1058]) ).
thf(1125,plain,
! [SV33: x_a,SV131: x_a > $o,SV90: x_a] :
( ( ( ~ ( member_a @ SV90 @ SV131 ) )
= $true )
| ( ( member_a @ SV90 @ ( insert_a @ SV33 @ SV131 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1059]) ).
thf(1126,plain,
! [SV91: x_a > $o,SV34: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false )
| ( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV91 @ SV34 )
| ( SV91 = SV34 ) )
| ~ ( ( SV91 != SV34 )
| ( ord_less_eq_a_o @ SV91 @ SV34 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1127,plain,
! [SV35: x_a,SV92: x_a > $o] :
( ( ( finite_finite_a @ SV92 )
= $false )
| ( ( finite_finite_a @ ( insert_a @ SV35 @ SV92 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1061]) ).
thf(1128,plain,
! [SV153: x_a,SV132: x_a,SV93: x_a,SV36: x_a] :
( ( ~ ( ~ ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
!= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
| ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
| ~ ( ~ ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1062]) ).
thf(1129,plain,
! [SV37: x_a > $o,SV133: x_a > $o,SV94: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV94 @ SV133 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV37 @ SV94 )
| ( ord_less_eq_a_o @ SV37 @ SV133 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1063]) ).
thf(1130,plain,
! [SV38: pname > x_a,SV134: pname > $o,SV95: pname > $o] :
( ( ( ~ ( ord_less_eq_pname_o @ SV95 @ SV134 ) )
= $true )
| ( ( ord_less_eq_a_o @ ( image_pname_a @ SV38 @ SV95 ) @ ( image_pname_a @ SV38 @ SV134 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1064]) ).
thf(1131,plain,
! [SV39: x_a > $o,SV135: x_a > $o,SV96: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV96 @ SV135 ) )
= $true )
| ( ( ( SV135 != SV39 )
| ( ord_less_eq_a_o @ SV96 @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1065]) ).
thf(1132,plain,
! [SV97: x_a > $o,SV40: x_a] :
( ( ! [SV154: x_a] :
( ( insert_a @ SV40 @ SV97 @ SV154 )
= ( bot_bot_a_o @ SV154 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[1066]) ).
thf(1133,plain,
! [SV97: x_a > $o,SV40: x_a] :
( ( ( insert_a @ SV40 @ SV97 )
= bot_bot_a_o )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[1066]) ).
thf(1134,plain,
! [SV41: x_a,SV136: x_a > $o,SV98: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV98 @ SV136 ) )
= $true )
| ( ( ~ ( member_a @ SV41 @ SV98 )
| ( member_a @ SV41 @ SV136 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1067]) ).
thf(1135,plain,
! [SV42: x_a,SV137: x_a > $o,SV99: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV99 @ SV137 ) )
= $true )
| ( ( ord_less_eq_o @ ( SV99 @ SV42 ) @ ( SV137 @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1068]) ).
thf(1136,plain,
! [SV100: x_a,SV43: x_a] :
( ( ( ( insert_a @ SV43 @ bot_bot_a_o )
= ( insert_a @ SV100 @ bot_bot_a_o ) )
= $false )
| ( ( SV43 = SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1069]) ).
thf(1137,plain,
! [SV101: x_a > $o,SV44: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV44 @ SV101 )
= $false )
| ( ( p @ SV101 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1070]) ).
thf(1138,plain,
! [SV102: x_a,SV45: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false )
| ( ( ( SV45 = bot_bot_a_o )
| ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1071]) ).
thf(1139,plain,
! [SV155: x_a,SV103: x_a > $o,SV46: x_a] :
( ( ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 )
= ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1072]) ).
thf(1140,plain,
! [SV104: x_a > $o,SV47: x_a > $o] :
( ( ( SV47 = SV104 )
= $false )
| ( ( ord_less_eq_a_o @ SV104 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1074]) ).
thf(1141,plain,
! [SV48: x_a > $o,SV105: x_a > $o] :
( ( ( finite_finite_a @ SV105 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV48 @ SV105 )
| ( finite_finite_a @ SV48 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1075]) ).
thf(1142,plain,
! [SV139: x_a > $o,SV106: x_a,SV49: x_a] :
( ( ~ ( ~ ( member_a @ SV49 @ ( insert_a @ SV106 @ SV139 ) )
| ( SV49 = SV106 )
| ( member_a @ SV49 @ SV139 ) )
| ~ ( ~ ( ( SV49 = SV106 )
| ( member_a @ SV49 @ SV139 ) )
| ( member_a @ SV49 @ ( insert_a @ SV106 @ SV139 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1143,plain,
! [SV50: x_a,SV140: x_a > $o,SV107: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV107 @ SV140 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV107 @ ( insert_a @ SV50 @ SV140 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1077]) ).
thf(1144,plain,
! [SV51: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
| ( SV51 = bot_bot_a_o ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1078]) ).
thf(1145,plain,
! [SV51: x_a > $o] :
( ( ( SV51 != bot_bot_a_o )
| ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1079]) ).
thf(1146,plain,
! [SV52: x_a > $o,SV141: x_a > $o,SV108: x_a > $o] :
( ( ( SV108 != SV141 )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV52 )
| ( ord_less_eq_a_o @ SV108 @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1080]) ).
thf(1147,plain,
! [SV53: x_a,SV142: x_a > $o,SV109: x_a] :
( ( ( ~ ( ~ ~ ( member_a @ SV109 @ SV142 )
| ( SV109 = SV53 ) ) )
= $true )
| ( ( member_a @ SV109 @ ( insert_a @ SV53 @ SV142 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1081]) ).
thf(1148,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV54: x_a > $o] :
( ( ~ ( ~ ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
| ~ ! [SY280: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY280 @ SV143 )
| ( SV54
!= ( image_pname_a @ SV110 @ SY280 ) ) ) )
| ~ ( ~ ~ ! [SY281: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY281 @ SV143 )
| ( SV54
!= ( image_pname_a @ SV110 @ SY281 ) ) )
| ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1082]) ).
thf(1149,plain,
! [SV55: x_a,SV144: x_a > $o,SV111: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV111 @ SV144 ) )
= $true )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV55 @ SV111 ) @ ( insert_a @ SV55 @ SV144 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1083]) ).
thf(1150,plain,
! [SV145: x_a > $o,SV112: x_a > $o,SV56: x_a] :
( ( ~ ( ~ ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SV145 )
| ~ ( ~ ( member_a @ SV56 @ SV145 )
| ~ ( ord_less_eq_a_o @ SV112 @ SV145 ) ) )
| ~ ( ~ ~ ( ~ ( member_a @ SV56 @ SV145 )
| ~ ( ord_less_eq_a_o @ SV112 @ SV145 ) )
| ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SV145 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1084]) ).
thf(1151,plain,
! [SV57: x_a > $o] :
( ( ( ! [SV156: x_a] :
( ( SV57 @ SV156 )
= ( bot_bot_a_o @ SV156 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1085]) ).
thf(1152,plain,
! [SV57: x_a > $o] :
( ( ( SV57 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1085]) ).
thf(1153,plain,
! [SV113: x_a > $o,SV58: x_a] :
( ( ( member_a @ SV58 @ SV113 )
= $false )
| ( ( ( insert_a @ SV58 @ SV113 )
= SV113 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1086]) ).
thf(1154,plain,
! [SV146: x_a,SV114: x_a > $o,SV59: x_a] :
( ( ~ ( ~ ( insert_a @ SV59 @ SV114 @ SV146 )
| ( SV59 = SV146 )
| ( SV114 @ SV146 ) )
| ~ ( ~ ( ( SV59 = SV146 )
| ( SV114 @ SV146 ) )
| ( insert_a @ SV59 @ SV114 @ SV146 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1087]) ).
thf(1155,plain,
! [SV60: pname > x_a,SV147: pname > $o,SV115: pname] :
( ( ( ~ ( member_pname @ SV115 @ SV147 ) )
= $true )
| ( ( ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) )
= ( image_pname_a @ SV60 @ SV147 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1088]) ).
thf(1156,plain,
! [SV61: x_a > $o,SV148: x_a > $o,SV116: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV116 @ SV148 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV148 @ SV61 )
| ( ord_less_eq_a_o @ SV116 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1089]) ).
thf(1157,plain,
! [SV62: x_a > $o,SV117: x_a > $o] :
( ( ( ! [SY277: x_a] :
( ~ ( member_a @ SY277 @ SV117 )
| ( member_a @ SY277 @ SV62 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV117 @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1090]) ).
thf(1158,plain,
! [SV149: x_a,SV64: x_a > $o,SV2: x_a] :
( ( ~ ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 )
| ( insert_a @ SV2 @ SV64 @ SV149 ) )
| ~ ( ~ ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 )
| ~ ( insert_a @ SV2 @ SV64 @ SV149 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1091]) ).
thf(1159,plain,
! [SV149: x_a,SV64: x_a > $o,SV2: x_a] :
( ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 )
= ( insert_a @ SV2 @ SV64 @ SV149 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1091]) ).
thf(1160,plain,
! [SV157: x_a,SV119: x_a > $o,SV65: x_a,SV3: x_a] :
( ( ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 )
= ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1092]) ).
thf(1161,plain,
! [SV158: x_a,SV120: pname > $o,SV67: pname,SV6: pname > x_a] :
( ( ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 )
= ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1094]) ).
thf(1162,plain,
! [SV10: x_a > $o,SV121: x_a > $o,SV68: x_a] :
( ( ( ~ ( member_a @ SV68 @ SV121 ) )
= $false )
| ( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV121 @ ( insert_a @ SV68 @ SV10 ) )
| ( ord_less_eq_a_o @ SV121 @ SV10 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SV121 @ SV10 )
| ( ord_less_eq_a_o @ SV121 @ ( insert_a @ SV68 @ SV10 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1096]) ).
thf(1163,plain,
! [SV11: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o ) )
= $true )
| ( ( SV11 = bot_bot_a_o )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1097]) ).
thf(1164,plain,
! [SV11: x_a > $o] :
( ( ( SV11 != bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1098]) ).
thf(1165,plain,
! [SV12: x_a > $o,SV69: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV69 @ SV12 ) )
= $true )
| ( ( SV12 = SV69 )
= $true )
| ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1099]) ).
thf(1166,plain,
! [SV13: x_a > $o,SV122: x_a > $o,SV70: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV70 @ SV122 )
= $false )
| ( ( ( SV70 != SV13 )
| ( ord_less_eq_a_o @ SV13 @ SV122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1167,plain,
! [SV14: x_a > $o,SV71: x_a > $o] :
( ( ( ~ ( finite_finite_a @ SV71 ) )
= $true )
| ( ( finite_finite_a @ SV14 )
= $true )
| ( ( ord_less_eq_a_o @ SV14 @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1101]) ).
thf(1168,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( ! [SV159: x_a] :
( ( SV15 @ SV159 )
= ( SV72 @ SV159 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 )
| ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1102]) ).
thf(1169,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( SV15 = SV72 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 )
| ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1102]) ).
thf(1170,plain,
! [SV16: x_a,SV123: x_a > $o,SV73: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV73 @ SV123 )
= $false )
| ( ( ~ ( member_a @ SV16 @ SV73 )
| ( member_a @ SV16 @ SV123 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1103]) ).
thf(1171,plain,
! [SV17: x_a > $o,SV124: x_a > $o,SV74: x_a > $o] :
( ( ( SV74 = SV124 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV124 )
| ( ord_less_eq_a_o @ SV17 @ SV74 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1172,plain,
! [SV75: x_a > $o,SV18: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV18 @ SV75 )
| ! [SY248: x_a] : ( ord_less_eq_o @ ( SV18 @ SY248 ) @ ( SV75 @ SY248 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1105]) ).
thf(1173,plain,
! [SV75: x_a > $o,SV18: x_a > $o] :
( ( ~ ! [SY249: x_a] : ( ord_less_eq_o @ ( SV18 @ SY249 ) @ ( SV75 @ SY249 ) )
| ( ord_less_eq_a_o @ SV18 @ SV75 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1106]) ).
thf(1174,plain,
! [SV19: x_a > $o,SV125: x_a > $o,SV76: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV76 @ SV125 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV125 @ SV19 )
| ( ord_less_eq_a_o @ SV76 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1107]) ).
thf(1175,plain,
! [SV77: x_a > $o,SV20: x_a] :
( ( ~ ( finite_finite_a @ ( insert_a @ SV20 @ SV77 ) )
| ( finite_finite_a @ SV77 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1108]) ).
thf(1176,plain,
! [SV20: x_a,SV77: x_a > $o] :
( ( ~ ( finite_finite_a @ SV77 )
| ( finite_finite_a @ ( insert_a @ SV20 @ SV77 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1109]) ).
thf(1177,plain,
! [SV126: x_a > $o,SV78: x_a,SV21: x_a] :
( ( ( member_a @ SV21 @ ( insert_a @ SV78 @ SV126 ) )
= $false )
| ( ( ~ ( ( SV21 != SV78 ) )
| ( member_a @ SV21 @ SV126 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1110]) ).
thf(1178,plain,
! [SV22: x_a > $o,SV79: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV79 @ SV22 ) )
= $true )
| ( ( SV22 = SV79 )
= $true )
| ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1111]) ).
thf(1179,plain,
! [SV23: x_a,SV127: x_a > $o,SV80: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV80 @ SV127 )
= $false )
| ( ( ord_less_eq_o @ ( SV80 @ SV23 ) @ ( SV127 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1112]) ).
thf(1180,plain,
! [SV81: x_a > $o,SV24: x_a > $o] :
( ( ( ! [SV160: x_a] :
( ( SV24 @ SV160 )
= ( SV81 @ SV160 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV24 @ SV81 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1113]) ).
thf(1181,plain,
! [SV81: x_a > $o,SV24: x_a > $o] :
( ( ( SV24 = SV81 )
= $false )
| ( ( ord_less_eq_a_o @ SV24 @ SV81 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1113]) ).
thf(1182,plain,
! [SV25: x_a,SV82: x_a > $o] :
( ( ( bot_bot_a_o @ ( sK1_SV152 @ SV82 @ SV25 ) )
= ( insert_a @ SV25 @ SV82 @ ( sK1_SV152 @ SV82 @ SV25 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1114]) ).
thf(1183,plain,
! [SV26: x_a > $o,SV83: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV83 @ SV26 ) )
= $true )
| ( ( SV83 = SV26 )
= $true )
| ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1116]) ).
thf(1184,plain,
! [SV27: x_a > $o,SV128: x_a > $o,SV84: x_a] :
( ( ( member_a @ SV84 @ SV128 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV128 @ SV27 )
| ( member_a @ SV84 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1117]) ).
thf(1185,plain,
! [SV85: x_a > $o,SV28: x_a > $o] :
( ( ( ! [SV161: x_a] :
( ( SV28 @ SV161 )
= ( SV85 @ SV161 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV28 @ SV85 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1118]) ).
thf(1186,plain,
! [SV85: x_a > $o,SV28: x_a > $o] :
( ( ( SV28 = SV85 )
= $false )
| ( ( ord_less_eq_a_o @ SV28 @ SV85 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1118]) ).
thf(1187,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( SV29 != SV86 )
| ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1119]) ).
thf(1188,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) )
| ( SV29 = SV86 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1120]) ).
thf(1189,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( member_a @ SV87 @ SV129 ) )
= $false )
| ( ( ~ ~ ( member_a @ SV87 @ SV30 )
| ~ ( ~ ( ( ( insert_a @ SV87 @ SV129 )
!= ( insert_a @ SV87 @ SV30 ) )
| ( SV129 = SV30 ) )
| ~ ( ( SV129 != SV30 )
| ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1121]) ).
thf(1190,plain,
! [SV31: x_a,SV130: x_a > $o,SV88: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV88 @ SV130 )
= $false )
| ( ( ~ ( member_a @ SV31 @ SV88 )
| ( member_a @ SV31 @ SV130 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1122]) ).
thf(1191,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( SV32 != SV89 )
| ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1123]) ).
thf(1192,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) )
| ( SV32 = SV89 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1124]) ).
thf(1193,plain,
! [SV33: x_a,SV131: x_a > $o,SV90: x_a] :
( ( ( member_a @ SV90 @ SV131 )
= $false )
| ( ( member_a @ SV90 @ ( insert_a @ SV33 @ SV131 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1125]) ).
thf(1194,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( ~ ( ~ ( ord_less_eq_a_o @ SV91 @ SV34 )
| ( SV91 = SV34 ) )
| ~ ( ( SV91 != SV34 )
| ( ord_less_eq_a_o @ SV91 @ SV34 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1126]) ).
thf(1195,plain,
! [SV153: x_a,SV132: x_a,SV93: x_a,SV36: x_a] :
( ( ~ ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
!= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
| ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
| ~ ( ~ ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1128]) ).
thf(1196,plain,
! [SV37: x_a > $o,SV133: x_a > $o,SV94: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV94 @ SV133 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV37 @ SV94 )
| ( ord_less_eq_a_o @ SV37 @ SV133 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1197,plain,
! [SV38: pname > x_a,SV134: pname > $o,SV95: pname > $o] :
( ( ( ord_less_eq_pname_o @ SV95 @ SV134 )
= $false )
| ( ( ord_less_eq_a_o @ ( image_pname_a @ SV38 @ SV95 ) @ ( image_pname_a @ SV38 @ SV134 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1198,plain,
! [SV39: x_a > $o,SV135: x_a > $o,SV96: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV96 @ SV135 )
= $false )
| ( ( ( SV135 != SV39 )
| ( ord_less_eq_a_o @ SV96 @ SV39 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1131]) ).
thf(1199,plain,
! [SV97: x_a > $o,SV40: x_a] :
( ( ( insert_a @ SV40 @ SV97 @ ( sK2_SV154 @ SV97 @ SV40 ) )
= ( bot_bot_a_o @ ( sK2_SV154 @ SV97 @ SV40 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1132]) ).
thf(1200,plain,
! [SV41: x_a,SV136: x_a > $o,SV98: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV98 @ SV136 )
= $false )
| ( ( ~ ( member_a @ SV41 @ SV98 )
| ( member_a @ SV41 @ SV136 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1134]) ).
thf(1201,plain,
! [SV42: x_a,SV137: x_a > $o,SV99: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV99 @ SV137 )
= $false )
| ( ( ord_less_eq_o @ ( SV99 @ SV42 ) @ ( SV137 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1202,plain,
! [SV100: x_a,SV43: x_a] :
( ( ( ! [SV162: x_a] :
( ( insert_a @ SV43 @ bot_bot_a_o @ SV162 )
= ( insert_a @ SV100 @ bot_bot_a_o @ SV162 ) ) )
= $false )
| ( ( SV43 = SV100 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1136]) ).
thf(1203,plain,
! [SV100: x_a,SV43: x_a] :
( ( ( ( insert_a @ SV43 @ bot_bot_a_o )
= ( insert_a @ SV100 @ bot_bot_a_o ) )
= $false )
| ( ( SV43 = SV100 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1136]) ).
thf(1204,plain,
! [SV102: x_a,SV45: x_a > $o] :
( ( ( SV45 = bot_bot_a_o )
= $true )
| ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1138]) ).
thf(1205,plain,
! [SV155: x_a,SV103: x_a > $o,SV46: x_a] :
( ( ~ ( ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 )
| ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 ) )
| ~ ( ~ ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 )
| ~ ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1139]) ).
thf(1206,plain,
! [SV155: x_a,SV103: x_a > $o,SV46: x_a] :
( ( ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 )
= ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1139]) ).
thf(1207,plain,
! [SV104: x_a > $o,SV47: x_a > $o] :
( ( ( ! [SV163: x_a] :
( ( SV47 @ SV163 )
= ( SV104 @ SV163 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV104 @ SV47 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1140]) ).
thf(1208,plain,
! [SV104: x_a > $o,SV47: x_a > $o] :
( ( ( SV47 = SV104 )
= $false )
| ( ( ord_less_eq_a_o @ SV104 @ SV47 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1140]) ).
thf(1209,plain,
! [SV105: x_a > $o,SV48: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV48 @ SV105 ) )
= $true )
| ( ( finite_finite_a @ SV48 )
= $true )
| ( ( finite_finite_a @ SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1141]) ).
thf(1210,plain,
! [SV139: x_a > $o,SV106: x_a,SV49: x_a] :
( ( ~ ( ~ ( member_a @ SV49 @ ( insert_a @ SV106 @ SV139 ) )
| ( SV49 = SV106 )
| ( member_a @ SV49 @ SV139 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1142]) ).
thf(1211,plain,
! [SV139: x_a > $o,SV106: x_a,SV49: x_a] :
( ( ~ ( ~ ( ( SV49 = SV106 )
| ( member_a @ SV49 @ SV139 ) )
| ( member_a @ SV49 @ ( insert_a @ SV106 @ SV139 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1142]) ).
thf(1212,plain,
! [SV50: x_a,SV140: x_a > $o,SV107: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV107 @ SV140 )
= $false )
| ( ( ord_less_eq_a_o @ SV107 @ ( insert_a @ SV50 @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1143]) ).
thf(1213,plain,
! [SV51: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o ) )
= $true )
| ( ( SV51 = bot_bot_a_o )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1144]) ).
thf(1214,plain,
! [SV51: x_a > $o] :
( ( ( SV51 != bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1145]) ).
thf(1215,plain,
! [SV52: x_a > $o,SV141: x_a > $o,SV108: x_a > $o] :
( ( ( SV108 = SV141 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV52 )
| ( ord_less_eq_a_o @ SV108 @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1146]) ).
thf(1216,plain,
! [SV53: x_a,SV142: x_a > $o,SV109: x_a] :
( ( ( ~ ~ ( member_a @ SV109 @ SV142 )
| ( SV109 = SV53 ) )
= $false )
| ( ( member_a @ SV109 @ ( insert_a @ SV53 @ SV142 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1147]) ).
thf(1217,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV54: x_a > $o] :
( ( ~ ( ~ ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
| ~ ! [SY280: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY280 @ SV143 )
| ( SV54
!= ( image_pname_a @ SV110 @ SY280 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1148]) ).
thf(1218,plain,
! [SV110: pname > x_a,SV54: x_a > $o,SV143: pname > $o] :
( ( ~ ( ~ ~ ! [SY281: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY281 @ SV143 )
| ( SV54
!= ( image_pname_a @ SV110 @ SY281 ) ) )
| ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1148]) ).
thf(1219,plain,
! [SV55: x_a,SV144: x_a > $o,SV111: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV111 @ SV144 )
= $false )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV55 @ SV111 ) @ ( insert_a @ SV55 @ SV144 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1149]) ).
thf(1220,plain,
! [SV145: x_a > $o,SV112: x_a > $o,SV56: x_a] :
( ( ~ ( ~ ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SV145 )
| ~ ( ~ ( member_a @ SV56 @ SV145 )
| ~ ( ord_less_eq_a_o @ SV112 @ SV145 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1150]) ).
thf(1221,plain,
! [SV112: x_a > $o,SV145: x_a > $o,SV56: x_a] :
( ( ~ ( ~ ~ ( ~ ( member_a @ SV56 @ SV145 )
| ~ ( ord_less_eq_a_o @ SV112 @ SV145 ) )
| ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SV145 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1150]) ).
thf(1222,plain,
! [SV164: x_a,SV57: x_a > $o] :
( ( ( ( SV57 @ SV164 )
= ( bot_bot_a_o @ SV164 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1151]) ).
thf(1223,plain,
! [SV113: x_a > $o,SV58: x_a] :
( ( ( ! [SV165: x_a] :
( ( insert_a @ SV58 @ SV113 @ SV165 )
= ( SV113 @ SV165 ) ) )
= $true )
| ( ( member_a @ SV58 @ SV113 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1153]) ).
thf(1224,plain,
! [SV113: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV113 )
= SV113 )
= $true )
| ( ( member_a @ SV58 @ SV113 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1153]) ).
thf(1225,plain,
! [SV146: x_a,SV114: x_a > $o,SV59: x_a] :
( ( ~ ( ~ ( insert_a @ SV59 @ SV114 @ SV146 )
| ( SV59 = SV146 )
| ( SV114 @ SV146 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1154]) ).
thf(1226,plain,
! [SV114: x_a > $o,SV146: x_a,SV59: x_a] :
( ( ~ ( ~ ( ( SV59 = SV146 )
| ( SV114 @ SV146 ) )
| ( insert_a @ SV59 @ SV114 @ SV146 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1154]) ).
thf(1227,plain,
! [SV60: pname > x_a,SV147: pname > $o,SV115: pname] :
( ( ( member_pname @ SV115 @ SV147 )
= $false )
| ( ( ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) )
= ( image_pname_a @ SV60 @ SV147 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1155]) ).
thf(1228,plain,
! [SV61: x_a > $o,SV148: x_a > $o,SV116: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV116 @ SV148 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV148 @ SV61 )
| ( ord_less_eq_a_o @ SV116 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1156]) ).
thf(1229,plain,
! [SV117: x_a > $o,SV62: x_a > $o] :
( ( ( ~ ( member_a @ ( sK3_SY277 @ SV62 @ SV117 ) @ SV117 )
| ( member_a @ ( sK3_SY277 @ SV62 @ SV117 ) @ SV62 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV117 @ SV62 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1157]) ).
thf(1230,plain,
! [SV149: x_a,SV64: x_a > $o,SV2: x_a] :
( ( ( ~ ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 )
| ( insert_a @ SV2 @ SV64 @ SV149 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 )
| ~ ( insert_a @ SV2 @ SV64 @ SV149 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1158]) ).
thf(1231,plain,
! [SV157: x_a,SV119: x_a > $o,SV65: x_a,SV3: x_a] :
( ( ~ ( ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 )
| ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 ) )
| ~ ( ~ ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 )
| ~ ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1160]) ).
thf(1232,plain,
! [SV157: x_a,SV119: x_a > $o,SV65: x_a,SV3: x_a] :
( ( ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 )
= ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1160]) ).
thf(1233,plain,
! [SV158: x_a,SV120: pname > $o,SV67: pname,SV6: pname > x_a] :
( ( ~ ( ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 )
| ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 ) )
| ~ ( ~ ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 )
| ~ ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1161]) ).
thf(1234,plain,
! [SV158: x_a,SV120: pname > $o,SV67: pname,SV6: pname > x_a] :
( ( ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 )
= ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1161]) ).
thf(1235,plain,
! [SV10: x_a > $o,SV121: x_a > $o,SV68: x_a] :
( ( ( member_a @ SV68 @ SV121 )
= $true )
| ( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV121 @ ( insert_a @ SV68 @ SV10 ) )
| ( ord_less_eq_a_o @ SV121 @ SV10 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SV121 @ SV10 )
| ( ord_less_eq_a_o @ SV121 @ ( insert_a @ SV68 @ SV10 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1162]) ).
thf(1236,plain,
! [SV11: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $false )
| ( ( SV11 = bot_bot_a_o )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1163]) ).
thf(1237,plain,
! [SV11: x_a > $o] :
( ( ( SV11 = bot_bot_a_o )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1164]) ).
thf(1238,plain,
! [SV12: x_a > $o,SV69: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV69 @ SV12 )
= $false )
| ( ( SV12 = SV69 )
= $true )
| ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1239,plain,
! [SV122: x_a > $o,SV13: x_a > $o,SV70: x_a > $o] :
( ( ( SV70 != SV13 )
= $true )
| ( ( ord_less_eq_a_o @ SV13 @ SV122 )
= $true )
| ( ( ord_less_eq_a_o @ SV70 @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1166]) ).
thf(1240,plain,
! [SV14: x_a > $o,SV71: x_a > $o] :
( ( ( finite_finite_a @ SV71 )
= $false )
| ( ( finite_finite_a @ SV14 )
= $true )
| ( ( ord_less_eq_a_o @ SV14 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1167]) ).
thf(1241,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 )
| ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1168]) ).
thf(1242,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 )
| ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) )
= $false )
| ( ( SV15 = SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1169]) ).
thf(1243,plain,
! [SV123: x_a > $o,SV73: x_a > $o,SV16: x_a] :
( ( ( ~ ( member_a @ SV16 @ SV73 ) )
= $true )
| ( ( member_a @ SV16 @ SV123 )
= $true )
| ( ( ord_less_eq_a_o @ SV73 @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1170]) ).
thf(1244,plain,
! [SV17: x_a > $o,SV124: x_a > $o,SV74: x_a > $o] :
( ( ( ! [SV166: x_a] :
( ( SV74 @ SV166 )
= ( SV124 @ SV166 ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV124 )
| ( ord_less_eq_a_o @ SV17 @ SV74 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1171]) ).
thf(1245,plain,
! [SV17: x_a > $o,SV124: x_a > $o,SV74: x_a > $o] :
( ( ( SV74 = SV124 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV124 )
| ( ord_less_eq_a_o @ SV17 @ SV74 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1171]) ).
thf(1246,plain,
! [SV75: x_a > $o,SV18: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV18 @ SV75 ) )
= $true )
| ( ( ! [SY248: x_a] : ( ord_less_eq_o @ ( SV18 @ SY248 ) @ ( SV75 @ SY248 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1172]) ).
thf(1247,plain,
! [SV75: x_a > $o,SV18: x_a > $o] :
( ( ( ~ ! [SY249: x_a] : ( ord_less_eq_o @ ( SV18 @ SY249 ) @ ( SV75 @ SY249 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV18 @ SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1173]) ).
thf(1248,plain,
! [SV76: x_a > $o,SV19: x_a > $o,SV125: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV125 @ SV19 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV76 @ SV19 )
= $true )
| ( ( ord_less_eq_a_o @ SV76 @ SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1174]) ).
thf(1249,plain,
! [SV77: x_a > $o,SV20: x_a] :
( ( ( ~ ( finite_finite_a @ ( insert_a @ SV20 @ SV77 ) ) )
= $true )
| ( ( finite_finite_a @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1175]) ).
thf(1250,plain,
! [SV20: x_a,SV77: x_a > $o] :
( ( ( ~ ( finite_finite_a @ SV77 ) )
= $true )
| ( ( finite_finite_a @ ( insert_a @ SV20 @ SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1176]) ).
thf(1251,plain,
! [SV126: x_a > $o,SV78: x_a,SV21: x_a] :
( ( ( ~ ( ( SV21 != SV78 ) ) )
= $true )
| ( ( member_a @ SV21 @ SV126 )
= $true )
| ( ( member_a @ SV21 @ ( insert_a @ SV78 @ SV126 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1177]) ).
thf(1252,plain,
! [SV22: x_a > $o,SV79: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV79 @ SV22 )
= $false )
| ( ( SV22 = SV79 )
= $true )
| ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1178]) ).
thf(1253,plain,
! [SV81: x_a > $o,SV24: x_a > $o] :
( ( ( ( SV24 @ ( sK5_SV160 @ SV81 @ SV24 ) )
= ( SV81 @ ( sK5_SV160 @ SV81 @ SV24 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV24 @ SV81 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1180]) ).
thf(1254,plain,
! [SV25: x_a,SV82: x_a > $o] :
( ( ~ ( ( bot_bot_a_o @ ( sK1_SV152 @ SV82 @ SV25 ) )
| ( insert_a @ SV25 @ SV82 @ ( sK1_SV152 @ SV82 @ SV25 ) ) )
| ~ ( ~ ( bot_bot_a_o @ ( sK1_SV152 @ SV82 @ SV25 ) )
| ~ ( insert_a @ SV25 @ SV82 @ ( sK1_SV152 @ SV82 @ SV25 ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[1182]) ).
thf(1255,plain,
! [SV25: x_a,SV82: x_a > $o] :
( ( ( bot_bot_a_o @ ( sK1_SV152 @ SV82 @ SV25 ) )
= ( insert_a @ SV25 @ SV82 @ ( sK1_SV152 @ SV82 @ SV25 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[1182]) ).
thf(1256,plain,
! [SV26: x_a > $o,SV83: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV83 @ SV26 )
= $false )
| ( ( SV83 = SV26 )
= $true )
| ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1183]) ).
thf(1257,plain,
! [SV84: x_a,SV27: x_a > $o,SV128: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV128 @ SV27 ) )
= $true )
| ( ( member_a @ SV84 @ SV27 )
= $true )
| ( ( member_a @ SV84 @ SV128 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1184]) ).
thf(1258,plain,
! [SV85: x_a > $o,SV28: x_a > $o] :
( ( ( ( SV28 @ ( sK6_SV161 @ SV85 @ SV28 ) )
= ( SV85 @ ( sK6_SV161 @ SV85 @ SV28 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV28 @ SV85 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1185]) ).
thf(1259,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( SV29 != SV86 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1187]) ).
thf(1260,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) ) )
= $true )
| ( ( SV29 = SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1188]) ).
thf(1261,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( member_a @ SV87 @ SV129 )
= $true )
| ( ( ~ ~ ( member_a @ SV87 @ SV30 )
| ~ ( ~ ( ( ( insert_a @ SV87 @ SV129 )
!= ( insert_a @ SV87 @ SV30 ) )
| ( SV129 = SV30 ) )
| ~ ( ( SV129 != SV30 )
| ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1189]) ).
thf(1262,plain,
! [SV130: x_a > $o,SV88: x_a > $o,SV31: x_a] :
( ( ( ~ ( member_a @ SV31 @ SV88 ) )
= $true )
| ( ( member_a @ SV31 @ SV130 )
= $true )
| ( ( ord_less_eq_a_o @ SV88 @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1190]) ).
thf(1263,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( SV32 != SV89 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1191]) ).
thf(1264,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) ) )
= $true )
| ( ( SV32 = SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1192]) ).
thf(1265,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( ~ ( ~ ( ord_less_eq_a_o @ SV91 @ SV34 )
| ( SV91 = SV34 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1194]) ).
thf(1266,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( ~ ( ( SV91 != SV34 )
| ( ord_less_eq_a_o @ SV91 @ SV34 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1194]) ).
thf(1267,plain,
! [SV153: x_a,SV132: x_a,SV93: x_a,SV36: x_a] :
( ( ~ ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
!= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
| ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1195]) ).
thf(1268,plain,
! [SV153: x_a,SV93: x_a,SV132: x_a,SV36: x_a] :
( ( ~ ( ~ ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1195]) ).
thf(1269,plain,
! [SV133: x_a > $o,SV94: x_a > $o,SV37: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV37 @ SV94 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV37 @ SV133 )
= $true )
| ( ( ord_less_eq_a_o @ SV94 @ SV133 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1196]) ).
thf(1270,plain,
! [SV96: x_a > $o,SV39: x_a > $o,SV135: x_a > $o] :
( ( ( SV135 != SV39 )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV39 )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV135 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1198]) ).
thf(1271,plain,
! [SV97: x_a > $o,SV40: x_a] :
( ( ~ ( ( insert_a @ SV40 @ SV97 @ ( sK2_SV154 @ SV97 @ SV40 ) )
| ( bot_bot_a_o @ ( sK2_SV154 @ SV97 @ SV40 ) ) )
| ~ ( ~ ( insert_a @ SV40 @ SV97 @ ( sK2_SV154 @ SV97 @ SV40 ) )
| ~ ( bot_bot_a_o @ ( sK2_SV154 @ SV97 @ SV40 ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[1199]) ).
thf(1272,plain,
! [SV97: x_a > $o,SV40: x_a] :
( ( ( insert_a @ SV40 @ SV97 @ ( sK2_SV154 @ SV97 @ SV40 ) )
= ( bot_bot_a_o @ ( sK2_SV154 @ SV97 @ SV40 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[1199]) ).
thf(1273,plain,
! [SV136: x_a > $o,SV98: x_a > $o,SV41: x_a] :
( ( ( ~ ( member_a @ SV41 @ SV98 ) )
= $true )
| ( ( member_a @ SV41 @ SV136 )
= $true )
| ( ( ord_less_eq_a_o @ SV98 @ SV136 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1200]) ).
thf(1274,plain,
! [SV100: x_a,SV43: x_a] :
( ( ( ( insert_a @ SV43 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) )
= ( insert_a @ SV100 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) ) )
= $false )
| ( ( SV43 = SV100 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1202]) ).
thf(1275,plain,
! [SV102: x_a,SV45: x_a > $o] :
( ( ( ! [SV167: x_a] :
( ( SV45 @ SV167 )
= ( bot_bot_a_o @ SV167 ) ) )
= $true )
| ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1204]) ).
thf(1276,plain,
! [SV102: x_a,SV45: x_a > $o] :
( ( ( SV45 = bot_bot_a_o )
= $true )
| ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1204]) ).
thf(1277,plain,
! [SV155: x_a,SV103: x_a > $o,SV46: x_a] :
( ( ( ~ ( ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 )
| ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 )
| ~ ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1205]) ).
thf(1278,plain,
! [SV104: x_a > $o,SV47: x_a > $o] :
( ( ( ( SV47 @ ( sK8_SV163 @ SV104 @ SV47 ) )
= ( SV104 @ ( sK8_SV163 @ SV104 @ SV47 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV104 @ SV47 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1207]) ).
thf(1279,plain,
! [SV105: x_a > $o,SV48: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV48 @ SV105 )
= $false )
| ( ( finite_finite_a @ SV48 )
= $true )
| ( ( finite_finite_a @ SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1209]) ).
thf(1280,plain,
! [SV139: x_a > $o,SV106: x_a,SV49: x_a] :
( ( ~ ( member_a @ SV49 @ ( insert_a @ SV106 @ SV139 ) )
| ( SV49 = SV106 )
| ( member_a @ SV49 @ SV139 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1210]) ).
thf(1281,plain,
! [SV139: x_a > $o,SV106: x_a,SV49: x_a] :
( ( ~ ( ( SV49 = SV106 )
| ( member_a @ SV49 @ SV139 ) )
| ( member_a @ SV49 @ ( insert_a @ SV106 @ SV139 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1211]) ).
thf(1282,plain,
! [SV51: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $false )
| ( ( SV51 = bot_bot_a_o )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1213]) ).
thf(1283,plain,
! [SV51: x_a > $o] :
( ( ( SV51 = bot_bot_a_o )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1214]) ).
thf(1284,plain,
! [SV52: x_a > $o,SV141: x_a > $o,SV108: x_a > $o] :
( ( ( ! [SV168: x_a] :
( ( SV108 @ SV168 )
= ( SV141 @ SV168 ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV52 )
| ( ord_less_eq_a_o @ SV108 @ SV52 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1215]) ).
thf(1285,plain,
! [SV52: x_a > $o,SV141: x_a > $o,SV108: x_a > $o] :
( ( ( SV108 = SV141 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV52 )
| ( ord_less_eq_a_o @ SV108 @ SV52 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1215]) ).
thf(1286,plain,
! [SV53: x_a,SV142: x_a > $o,SV109: x_a] :
( ( ( ~ ~ ( member_a @ SV109 @ SV142 ) )
= $false )
| ( ( member_a @ SV109 @ ( insert_a @ SV53 @ SV142 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1216]) ).
thf(1287,plain,
! [SV142: x_a > $o,SV53: x_a,SV109: x_a] :
( ( ( SV109 = SV53 )
= $false )
| ( ( member_a @ SV109 @ ( insert_a @ SV53 @ SV142 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1216]) ).
thf(1288,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV54: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
| ~ ! [SY280: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY280 @ SV143 )
| ( SV54
!= ( image_pname_a @ SV110 @ SY280 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1217]) ).
thf(1289,plain,
! [SV110: pname > x_a,SV54: x_a > $o,SV143: pname > $o] :
( ( ~ ~ ! [SY281: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY281 @ SV143 )
| ( SV54
!= ( image_pname_a @ SV110 @ SY281 ) ) )
| ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1218]) ).
thf(1290,plain,
! [SV145: x_a > $o,SV112: x_a > $o,SV56: x_a] :
( ( ~ ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SV145 )
| ~ ( ~ ( member_a @ SV56 @ SV145 )
| ~ ( ord_less_eq_a_o @ SV112 @ SV145 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1220]) ).
thf(1291,plain,
! [SV112: x_a > $o,SV145: x_a > $o,SV56: x_a] :
( ( ~ ~ ( ~ ( member_a @ SV56 @ SV145 )
| ~ ( ord_less_eq_a_o @ SV112 @ SV145 ) )
| ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SV145 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1221]) ).
thf(1292,plain,
! [SV164: x_a,SV57: x_a > $o] :
( ( ( ~ ( ( SV57 @ SV164 )
| ( bot_bot_a_o @ SV164 ) )
| ~ ( ~ ( SV57 @ SV164 )
| ~ ( bot_bot_a_o @ SV164 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1222]) ).
thf(1293,plain,
! [SV164: x_a,SV57: x_a > $o] :
( ( ( ( SV57 @ SV164 )
= ( bot_bot_a_o @ SV164 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1222]) ).
thf(1294,plain,
! [SV169: x_a,SV113: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV113 @ SV169 )
= ( SV113 @ SV169 ) )
= $true )
| ( ( member_a @ SV58 @ SV113 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1223]) ).
thf(1295,plain,
! [SV146: x_a,SV114: x_a > $o,SV59: x_a] :
( ( ~ ( insert_a @ SV59 @ SV114 @ SV146 )
| ( SV59 = SV146 )
| ( SV114 @ SV146 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1225]) ).
thf(1296,plain,
! [SV114: x_a > $o,SV146: x_a,SV59: x_a] :
( ( ~ ( ( SV59 = SV146 )
| ( SV114 @ SV146 ) )
| ( insert_a @ SV59 @ SV114 @ SV146 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1226]) ).
thf(1297,plain,
! [SV147: pname > $o,SV115: pname,SV60: pname > x_a] :
( ( ( ! [SV170: x_a] :
( ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV170 )
= ( image_pname_a @ SV60 @ SV147 @ SV170 ) ) )
= $true )
| ( ( member_pname @ SV115 @ SV147 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1227]) ).
thf(1298,plain,
! [SV147: pname > $o,SV115: pname,SV60: pname > x_a] :
( ( ( ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) )
= ( image_pname_a @ SV60 @ SV147 ) )
= $true )
| ( ( member_pname @ SV115 @ SV147 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1227]) ).
thf(1299,plain,
! [SV116: x_a > $o,SV61: x_a > $o,SV148: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV148 @ SV61 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV116 @ SV61 )
= $true )
| ( ( ord_less_eq_a_o @ SV116 @ SV148 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1228]) ).
thf(1300,plain,
! [SV117: x_a > $o,SV62: x_a > $o] :
( ( ( ~ ( member_a @ ( sK3_SY277 @ SV62 @ SV117 ) @ SV117 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV117 @ SV62 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1229]) ).
thf(1301,plain,
! [SV117: x_a > $o,SV62: x_a > $o] :
( ( ( member_a @ ( sK3_SY277 @ SV62 @ SV117 ) @ SV62 )
= $false )
| ( ( ord_less_eq_a_o @ SV117 @ SV62 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1229]) ).
thf(1302,plain,
! [SV149: x_a,SV64: x_a > $o,SV2: x_a] :
( ( ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 )
| ( insert_a @ SV2 @ SV64 @ SV149 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 )
| ~ ( insert_a @ SV2 @ SV64 @ SV149 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1230]) ).
thf(1303,plain,
! [SV157: x_a,SV119: x_a > $o,SV65: x_a,SV3: x_a] :
( ( ( ~ ( ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 )
| ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 )
| ~ ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1231]) ).
thf(1304,plain,
! [SV158: x_a,SV120: pname > $o,SV67: pname,SV6: pname > x_a] :
( ( ( ~ ( ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 )
| ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 ) ) )
= $true )
| ( ( ~ ( ~ ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 )
| ~ ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1233]) ).
thf(1305,plain,
! [SV10: x_a > $o,SV68: x_a,SV121: x_a > $o] :
( ( ( ~ ( ~ ( ord_less_eq_a_o @ SV121 @ ( insert_a @ SV68 @ SV10 ) )
| ( ord_less_eq_a_o @ SV121 @ SV10 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SV121 @ SV10 )
| ( ord_less_eq_a_o @ SV121 @ ( insert_a @ SV68 @ SV10 ) ) ) )
= $false )
| ( ( member_a @ SV68 @ SV121 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1235]) ).
thf(1306,plain,
! [SV11: x_a > $o] :
( ( ( ! [SV171: x_a] :
( ( SV11 @ SV171 )
= ( bot_bot_a_o @ SV171 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1236]) ).
thf(1307,plain,
! [SV11: x_a > $o] :
( ( ( SV11 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1236]) ).
thf(1308,plain,
! [SV11: x_a > $o] :
( ( ( ! [SV172: x_a] :
( ( SV11 @ SV172 )
= ( bot_bot_a_o @ SV172 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1237]) ).
thf(1309,plain,
! [SV11: x_a > $o] :
( ( ( SV11 = bot_bot_a_o )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1237]) ).
thf(1310,plain,
! [SV69: x_a > $o,SV12: x_a > $o] :
( ( ( ! [SV173: x_a] :
( ( SV12 @ SV173 )
= ( SV69 @ SV173 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV69 @ SV12 )
= $false )
| ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1238]) ).
thf(1311,plain,
! [SV69: x_a > $o,SV12: x_a > $o] :
( ( ( SV12 = SV69 )
= $true )
| ( ( ord_less_eq_a_o @ SV69 @ SV12 )
= $false )
| ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1238]) ).
thf(1312,plain,
! [SV122: x_a > $o,SV13: x_a > $o,SV70: x_a > $o] :
( ( ( SV70 = SV13 )
= $false )
| ( ( ord_less_eq_a_o @ SV13 @ SV122 )
= $true )
| ( ( ord_less_eq_a_o @ SV70 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1239]) ).
thf(1313,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( ~ ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
| ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) ) )
| ~ ( ~ ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
| ~ ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 )
| ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1241]) ).
thf(1314,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 )
| ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1241]) ).
thf(1315,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 ) )
= $false )
| ( ( SV15 = SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1242]) ).
thf(1316,plain,
! [SV15: x_a > $o,SV72: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) )
= $false )
| ( ( SV15 = SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1242]) ).
thf(1317,plain,
! [SV123: x_a > $o,SV73: x_a > $o,SV16: x_a] :
( ( ( member_a @ SV16 @ SV73 )
= $false )
| ( ( member_a @ SV16 @ SV123 )
= $true )
| ( ( ord_less_eq_a_o @ SV73 @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1243]) ).
thf(1318,plain,
! [SV124: x_a > $o,SV17: x_a > $o,SV74: x_a > $o] :
( ( ( ( SV74 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
= ( SV124 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV124 )
| ( ord_less_eq_a_o @ SV17 @ SV74 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1244]) ).
thf(1319,plain,
! [SV74: x_a > $o,SV124: x_a > $o,SV17: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV124 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV17 @ SV74 )
= $true )
| ( ( SV74 = SV124 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1245]) ).
thf(1320,plain,
! [SV75: x_a > $o,SV18: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV18 @ SV75 )
= $false )
| ( ( ! [SY248: x_a] : ( ord_less_eq_o @ ( SV18 @ SY248 ) @ ( SV75 @ SY248 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1246]) ).
thf(1321,plain,
! [SV75: x_a > $o,SV18: x_a > $o] :
( ( ( ! [SY249: x_a] : ( ord_less_eq_o @ ( SV18 @ SY249 ) @ ( SV75 @ SY249 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV18 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1247]) ).
thf(1322,plain,
! [SV76: x_a > $o,SV19: x_a > $o,SV125: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV125 @ SV19 )
= $false )
| ( ( ord_less_eq_a_o @ SV76 @ SV19 )
= $true )
| ( ( ord_less_eq_a_o @ SV76 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1248]) ).
thf(1323,plain,
! [SV77: x_a > $o,SV20: x_a] :
( ( ( finite_finite_a @ ( insert_a @ SV20 @ SV77 ) )
= $false )
| ( ( finite_finite_a @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1249]) ).
thf(1324,plain,
! [SV20: x_a,SV77: x_a > $o] :
( ( ( finite_finite_a @ SV77 )
= $false )
| ( ( finite_finite_a @ ( insert_a @ SV20 @ SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1250]) ).
thf(1325,plain,
! [SV126: x_a > $o,SV78: x_a,SV21: x_a] :
( ( ( SV21 != SV78 )
= $false )
| ( ( member_a @ SV21 @ SV126 )
= $true )
| ( ( member_a @ SV21 @ ( insert_a @ SV78 @ SV126 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1251]) ).
thf(1326,plain,
! [SV79: x_a > $o,SV22: x_a > $o] :
( ( ( ! [SV174: x_a] :
( ( SV22 @ SV174 )
= ( SV79 @ SV174 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV79 @ SV22 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1252]) ).
thf(1327,plain,
! [SV79: x_a > $o,SV22: x_a > $o] :
( ( ( SV22 = SV79 )
= $true )
| ( ( ord_less_eq_a_o @ SV79 @ SV22 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1252]) ).
thf(1328,plain,
! [SV81: x_a > $o,SV24: x_a > $o] :
( ( ( ~ ( ( SV24 @ ( sK5_SV160 @ SV81 @ SV24 ) )
| ( SV81 @ ( sK5_SV160 @ SV81 @ SV24 ) ) )
| ~ ( ~ ( SV24 @ ( sK5_SV160 @ SV81 @ SV24 ) )
| ~ ( SV81 @ ( sK5_SV160 @ SV81 @ SV24 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV24 @ SV81 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1253]) ).
thf(1329,plain,
! [SV81: x_a > $o,SV24: x_a > $o] :
( ( ( ( SV24 @ ( sK5_SV160 @ SV81 @ SV24 ) )
= ( SV81 @ ( sK5_SV160 @ SV81 @ SV24 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV24 @ SV81 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1253]) ).
thf(1330,plain,
! [SV25: x_a,SV82: x_a > $o] :
( ( ~ ( ( bot_bot_a_o @ ( sK1_SV152 @ SV82 @ SV25 ) )
| ( insert_a @ SV25 @ SV82 @ ( sK1_SV152 @ SV82 @ SV25 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1254]) ).
thf(1331,plain,
! [SV25: x_a,SV82: x_a > $o] :
( ( ~ ( ~ ( bot_bot_a_o @ ( sK1_SV152 @ SV82 @ SV25 ) )
| ~ ( insert_a @ SV25 @ SV82 @ ( sK1_SV152 @ SV82 @ SV25 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1254]) ).
thf(1332,plain,
! [SV26: x_a > $o,SV83: x_a > $o] :
( ( ( ! [SV175: x_a] :
( ( SV83 @ SV175 )
= ( SV26 @ SV175 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV83 @ SV26 )
= $false )
| ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1256]) ).
thf(1333,plain,
! [SV26: x_a > $o,SV83: x_a > $o] :
( ( ( SV83 = SV26 )
= $true )
| ( ( ord_less_eq_a_o @ SV83 @ SV26 )
= $false )
| ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1256]) ).
thf(1334,plain,
! [SV84: x_a,SV27: x_a > $o,SV128: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV128 @ SV27 )
= $false )
| ( ( member_a @ SV84 @ SV27 )
= $true )
| ( ( member_a @ SV84 @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1257]) ).
thf(1335,plain,
! [SV85: x_a > $o,SV28: x_a > $o] :
( ( ( ~ ( ( SV28 @ ( sK6_SV161 @ SV85 @ SV28 ) )
| ( SV85 @ ( sK6_SV161 @ SV85 @ SV28 ) ) )
| ~ ( ~ ( SV28 @ ( sK6_SV161 @ SV85 @ SV28 ) )
| ~ ( SV85 @ ( sK6_SV161 @ SV85 @ SV28 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV28 @ SV85 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1258]) ).
thf(1336,plain,
! [SV85: x_a > $o,SV28: x_a > $o] :
( ( ( ( SV28 @ ( sK6_SV161 @ SV85 @ SV28 ) )
= ( SV85 @ ( sK6_SV161 @ SV85 @ SV28 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV28 @ SV85 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1258]) ).
thf(1337,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( SV29 = SV86 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1259]) ).
thf(1338,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) ) )
= $false )
| ( ( SV29 = SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1260]) ).
thf(1339,plain,
! [SV129: x_a > $o,SV30: x_a > $o,SV87: x_a] :
( ( ( ~ ~ ( member_a @ SV87 @ SV30 ) )
= $true )
| ( ( ~ ( ~ ( ( ( insert_a @ SV87 @ SV129 )
!= ( insert_a @ SV87 @ SV30 ) )
| ( SV129 = SV30 ) )
| ~ ( ( SV129 != SV30 )
| ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) ) ) ) )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1261]) ).
thf(1340,plain,
! [SV130: x_a > $o,SV88: x_a > $o,SV31: x_a] :
( ( ( member_a @ SV31 @ SV88 )
= $false )
| ( ( member_a @ SV31 @ SV130 )
= $true )
| ( ( ord_less_eq_a_o @ SV88 @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1262]) ).
thf(1341,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( SV32 = SV89 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1263]) ).
thf(1342,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) ) )
= $false )
| ( ( SV32 = SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1264]) ).
thf(1343,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV91 @ SV34 )
| ( SV91 = SV34 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1265]) ).
thf(1344,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( ( SV91 != SV34 )
| ( ord_less_eq_a_o @ SV91 @ SV34 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1266]) ).
thf(1345,plain,
! [SV153: x_a,SV132: x_a,SV93: x_a,SV36: x_a] :
( ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
!= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
| ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1267]) ).
thf(1346,plain,
! [SV153: x_a,SV93: x_a,SV132: x_a,SV36: x_a] :
( ( ~ ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1268]) ).
thf(1347,plain,
! [SV133: x_a > $o,SV94: x_a > $o,SV37: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV37 @ SV94 )
= $false )
| ( ( ord_less_eq_a_o @ SV37 @ SV133 )
= $true )
| ( ( ord_less_eq_a_o @ SV94 @ SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1269]) ).
thf(1348,plain,
! [SV96: x_a > $o,SV39: x_a > $o,SV135: x_a > $o] :
( ( ( SV135 = SV39 )
= $false )
| ( ( ord_less_eq_a_o @ SV96 @ SV39 )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV135 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1270]) ).
thf(1349,plain,
! [SV97: x_a > $o,SV40: x_a] :
( ( ~ ( ( insert_a @ SV40 @ SV97 @ ( sK2_SV154 @ SV97 @ SV40 ) )
| ( bot_bot_a_o @ ( sK2_SV154 @ SV97 @ SV40 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1271]) ).
thf(1350,plain,
! [SV97: x_a > $o,SV40: x_a] :
( ( ~ ( ~ ( insert_a @ SV40 @ SV97 @ ( sK2_SV154 @ SV97 @ SV40 ) )
| ~ ( bot_bot_a_o @ ( sK2_SV154 @ SV97 @ SV40 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1271]) ).
thf(1351,plain,
! [SV136: x_a > $o,SV98: x_a > $o,SV41: x_a] :
( ( ( member_a @ SV41 @ SV98 )
= $false )
| ( ( member_a @ SV41 @ SV136 )
= $true )
| ( ( ord_less_eq_a_o @ SV98 @ SV136 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1273]) ).
thf(1352,plain,
! [SV100: x_a,SV43: x_a] :
( ( ( ~ ( ( insert_a @ SV43 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) )
| ( insert_a @ SV100 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) ) )
| ~ ( ~ ( insert_a @ SV43 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) )
| ~ ( insert_a @ SV100 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) ) ) )
= $false )
| ( ( SV43 = SV100 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1274]) ).
thf(1353,plain,
! [SV100: x_a,SV43: x_a] :
( ( ( ( insert_a @ SV43 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) )
= ( insert_a @ SV100 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) ) )
= $false )
| ( ( SV43 = SV100 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1274]) ).
thf(1354,plain,
! [SV102: x_a,SV176: x_a,SV45: x_a > $o] :
( ( ( ( SV45 @ SV176 )
= ( bot_bot_a_o @ SV176 ) )
= $true )
| ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1275]) ).
thf(1355,plain,
! [SV102: x_a,SV45: x_a > $o] :
( ( ( ! [SV177: x_a] :
( ( SV45 @ SV177 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV177 ) ) )
= $true )
| ( ( SV45 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1276]) ).
thf(1356,plain,
! [SV102: x_a,SV45: x_a > $o] :
( ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( SV45 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1276]) ).
thf(1357,plain,
! [SV155: x_a,SV103: x_a > $o,SV46: x_a] :
( ( ( ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 )
| ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 )
| ~ ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1277]) ).
thf(1358,plain,
! [SV104: x_a > $o,SV47: x_a > $o] :
( ( ( ~ ( ( SV47 @ ( sK8_SV163 @ SV104 @ SV47 ) )
| ( SV104 @ ( sK8_SV163 @ SV104 @ SV47 ) ) )
| ~ ( ~ ( SV47 @ ( sK8_SV163 @ SV104 @ SV47 ) )
| ~ ( SV104 @ ( sK8_SV163 @ SV104 @ SV47 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV104 @ SV47 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1278]) ).
thf(1359,plain,
! [SV104: x_a > $o,SV47: x_a > $o] :
( ( ( ( SV47 @ ( sK8_SV163 @ SV104 @ SV47 ) )
= ( SV104 @ ( sK8_SV163 @ SV104 @ SV47 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV104 @ SV47 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1278]) ).
thf(1360,plain,
! [SV139: x_a > $o,SV106: x_a,SV49: x_a] :
( ( ( ~ ( member_a @ SV49 @ ( insert_a @ SV106 @ SV139 ) ) )
= $true )
| ( ( ( SV49 = SV106 )
| ( member_a @ SV49 @ SV139 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1280]) ).
thf(1361,plain,
! [SV139: x_a > $o,SV106: x_a,SV49: x_a] :
( ( ( ~ ( ( SV49 = SV106 )
| ( member_a @ SV49 @ SV139 ) ) )
= $true )
| ( ( member_a @ SV49 @ ( insert_a @ SV106 @ SV139 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1281]) ).
thf(1362,plain,
! [SV51: x_a > $o] :
( ( ( ! [SV178: x_a] :
( ( SV51 @ SV178 )
= ( bot_bot_a_o @ SV178 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1282]) ).
thf(1363,plain,
! [SV51: x_a > $o] :
( ( ( SV51 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1282]) ).
thf(1364,plain,
! [SV51: x_a > $o] :
( ( ( ! [SV179: x_a] :
( ( SV51 @ SV179 )
= ( bot_bot_a_o @ SV179 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1283]) ).
thf(1365,plain,
! [SV51: x_a > $o] :
( ( ( SV51 = bot_bot_a_o )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1283]) ).
thf(1366,plain,
! [SV141: x_a > $o,SV52: x_a > $o,SV108: x_a > $o] :
( ( ( ( SV108 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
= ( SV141 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV52 )
| ( ord_less_eq_a_o @ SV108 @ SV52 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1284]) ).
thf(1367,plain,
! [SV108: x_a > $o,SV52: x_a > $o,SV141: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV52 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV108 @ SV52 )
= $true )
| ( ( SV108 = SV141 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1285]) ).
thf(1368,plain,
! [SV53: x_a,SV142: x_a > $o,SV109: x_a] :
( ( ( ~ ( member_a @ SV109 @ SV142 ) )
= $true )
| ( ( member_a @ SV109 @ ( insert_a @ SV53 @ SV142 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1286]) ).
thf(1369,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV54: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) ) )
= $true )
| ( ( ~ ! [SY280: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY280 @ SV143 )
| ( SV54
!= ( image_pname_a @ SV110 @ SY280 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1288]) ).
thf(1370,plain,
! [SV110: pname > x_a,SV54: x_a > $o,SV143: pname > $o] :
( ( ( ~ ~ ! [SY281: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY281 @ SV143 )
| ( SV54
!= ( image_pname_a @ SV110 @ SY281 ) ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1289]) ).
thf(1371,plain,
! [SV145: x_a > $o,SV112: x_a > $o,SV56: x_a] :
( ( ( ~ ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SV145 ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV56 @ SV145 )
| ~ ( ord_less_eq_a_o @ SV112 @ SV145 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1290]) ).
thf(1372,plain,
! [SV112: x_a > $o,SV145: x_a > $o,SV56: x_a] :
( ( ( ~ ~ ( ~ ( member_a @ SV56 @ SV145 )
| ~ ( ord_less_eq_a_o @ SV112 @ SV145 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SV145 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1291]) ).
thf(1373,plain,
! [SV164: x_a,SV57: x_a > $o] :
( ( ( ~ ( ( SV57 @ SV164 )
| ( bot_bot_a_o @ SV164 ) ) )
= $true )
| ( ( ~ ( ~ ( SV57 @ SV164 )
| ~ ( bot_bot_a_o @ SV164 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1292]) ).
thf(1374,plain,
! [SV169: x_a,SV113: x_a > $o,SV58: x_a] :
( ( ( ~ ( ( insert_a @ SV58 @ SV113 @ SV169 )
| ( SV113 @ SV169 ) )
| ~ ( ~ ( insert_a @ SV58 @ SV113 @ SV169 )
| ~ ( SV113 @ SV169 ) ) )
= $true )
| ( ( member_a @ SV58 @ SV113 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1294]) ).
thf(1375,plain,
! [SV169: x_a,SV113: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV113 @ SV169 )
= ( SV113 @ SV169 ) )
= $true )
| ( ( member_a @ SV58 @ SV113 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1294]) ).
thf(1376,plain,
! [SV146: x_a,SV114: x_a > $o,SV59: x_a] :
( ( ( ~ ( insert_a @ SV59 @ SV114 @ SV146 ) )
= $true )
| ( ( ( SV59 = SV146 )
| ( SV114 @ SV146 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1295]) ).
thf(1377,plain,
! [SV114: x_a > $o,SV146: x_a,SV59: x_a] :
( ( ( ~ ( ( SV59 = SV146 )
| ( SV114 @ SV146 ) ) )
= $true )
| ( ( insert_a @ SV59 @ SV114 @ SV146 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1296]) ).
thf(1378,plain,
! [SV180: x_a,SV147: pname > $o,SV115: pname,SV60: pname > x_a] :
( ( ( ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 )
= ( image_pname_a @ SV60 @ SV147 @ SV180 ) )
= $true )
| ( ( member_pname @ SV115 @ SV147 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1297]) ).
thf(1379,plain,
! [SV116: x_a > $o,SV61: x_a > $o,SV148: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV148 @ SV61 )
= $false )
| ( ( ord_less_eq_a_o @ SV116 @ SV61 )
= $true )
| ( ( ord_less_eq_a_o @ SV116 @ SV148 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1299]) ).
thf(1380,plain,
! [SV117: x_a > $o,SV62: x_a > $o] :
( ( ( member_a @ ( sK3_SY277 @ SV62 @ SV117 ) @ SV117 )
= $true )
| ( ( ord_less_eq_a_o @ SV117 @ SV62 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1300]) ).
thf(1381,plain,
! [SV149: x_a,SV64: x_a > $o,SV2: x_a] :
( ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 )
| ~ ( insert_a @ SV2 @ SV64 @ SV149 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1302]) ).
thf(1382,plain,
! [SV149: x_a,SV64: x_a > $o,SV2: x_a] :
( ( ( insert_a @ SV2 @ SV64 @ SV149 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 )
| ~ ( insert_a @ SV2 @ SV64 @ SV149 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1302]) ).
thf(1383,plain,
! [SV157: x_a,SV119: x_a > $o,SV65: x_a,SV3: x_a] :
( ( ( ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 )
| ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 )
| ~ ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1303]) ).
thf(1384,plain,
! [SV158: x_a,SV120: pname > $o,SV67: pname,SV6: pname > x_a] :
( ( ( ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 )
| ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 ) )
= $false )
| ( ( ~ ( ~ ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 )
| ~ ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1304]) ).
thf(1385,plain,
! [SV10: x_a > $o,SV68: x_a,SV121: x_a > $o] :
( ( ( ~ ( ~ ( ord_less_eq_a_o @ SV121 @ ( insert_a @ SV68 @ SV10 ) )
| ( ord_less_eq_a_o @ SV121 @ SV10 ) ) )
= $false )
| ( ( member_a @ SV68 @ SV121 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1305]) ).
thf(1386,plain,
! [SV68: x_a,SV10: x_a > $o,SV121: x_a > $o] :
( ( ( ~ ( ~ ( ord_less_eq_a_o @ SV121 @ SV10 )
| ( ord_less_eq_a_o @ SV121 @ ( insert_a @ SV68 @ SV10 ) ) ) )
= $false )
| ( ( member_a @ SV68 @ SV121 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1305]) ).
thf(1387,plain,
! [SV181: x_a,SV11: x_a > $o] :
( ( ( ( SV11 @ SV181 )
= ( bot_bot_a_o @ SV181 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1306]) ).
thf(1388,plain,
! [SV11: x_a > $o] :
( ( ( ( SV11 @ ( sK11_SV172 @ SV11 ) )
= ( bot_bot_a_o @ ( sK11_SV172 @ SV11 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1308]) ).
thf(1389,plain,
! [SV69: x_a > $o,SV182: x_a,SV12: x_a > $o] :
( ( ( ( SV12 @ SV182 )
= ( SV69 @ SV182 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV69 @ SV12 )
= $false )
| ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1310]) ).
thf(1390,plain,
! [SV122: x_a > $o,SV13: x_a > $o,SV70: x_a > $o] :
( ( ( ! [SV183: x_a] :
( ( SV70 @ SV183 )
= ( SV13 @ SV183 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV13 @ SV122 )
= $true )
| ( ( ord_less_eq_a_o @ SV70 @ SV122 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1312]) ).
thf(1391,plain,
! [SV122: x_a > $o,SV13: x_a > $o,SV70: x_a > $o] :
( ( ( SV70 = SV13 )
= $false )
| ( ( ord_less_eq_a_o @ SV13 @ SV122 )
= $true )
| ( ( ord_less_eq_a_o @ SV70 @ SV122 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1312]) ).
thf(1392,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( ~ ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
| ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 )
| ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1313]) ).
thf(1393,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( ~ ( ~ ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
| ~ ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 )
| ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1313]) ).
thf(1394,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 )
| ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) )
= $false )
| ( ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1314]) ).
thf(1395,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV15 @ SV72 )
= $true )
| ( ( SV15 = SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1315]) ).
thf(1396,plain,
! [SV15: x_a > $o,SV72: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV72 @ SV15 )
= $true )
| ( ( SV15 = SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1316]) ).
thf(1397,plain,
! [SV124: x_a > $o,SV17: x_a > $o,SV74: x_a > $o] :
( ( ( ~ ( ( SV74 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
| ( SV124 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) ) )
| ~ ( ~ ( SV74 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
| ~ ( SV124 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV124 )
| ( ord_less_eq_a_o @ SV17 @ SV74 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1318]) ).
thf(1398,plain,
! [SV124: x_a > $o,SV17: x_a > $o,SV74: x_a > $o] :
( ( ( ( SV74 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
= ( SV124 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV124 )
| ( ord_less_eq_a_o @ SV17 @ SV74 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1318]) ).
thf(1399,plain,
! [SV74: x_a > $o,SV124: x_a > $o,SV17: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV17 @ SV124 )
= $false )
| ( ( ord_less_eq_a_o @ SV17 @ SV74 )
= $true )
| ( ( SV74 = SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1319]) ).
thf(1400,plain,
! [SV75: x_a > $o,SV184: x_a,SV18: x_a > $o] :
( ( ( ord_less_eq_o @ ( SV18 @ SV184 ) @ ( SV75 @ SV184 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV18 @ SV75 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1320]) ).
thf(1401,plain,
! [SV75: x_a > $o,SV18: x_a > $o] :
( ( ( ord_less_eq_o @ ( SV18 @ ( sK12_SY249 @ SV75 @ SV18 ) ) @ ( SV75 @ ( sK12_SY249 @ SV75 @ SV18 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV18 @ SV75 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1321]) ).
thf(1402,plain,
! [SV126: x_a > $o,SV78: x_a,SV21: x_a] :
( ( ( SV21 = SV78 )
= $true )
| ( ( member_a @ SV21 @ SV126 )
= $true )
| ( ( member_a @ SV21 @ ( insert_a @ SV78 @ SV126 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1325]) ).
thf(1403,plain,
! [SV79: x_a > $o,SV185: x_a,SV22: x_a > $o] :
( ( ( ( SV22 @ SV185 )
= ( SV79 @ SV185 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV79 @ SV22 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1326]) ).
thf(1404,plain,
! [SV81: x_a > $o,SV24: x_a > $o] :
( ( ( ~ ( ( SV24 @ ( sK5_SV160 @ SV81 @ SV24 ) )
| ( SV81 @ ( sK5_SV160 @ SV81 @ SV24 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV24 @ SV81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1328]) ).
thf(1405,plain,
! [SV81: x_a > $o,SV24: x_a > $o] :
( ( ( ~ ( ~ ( SV24 @ ( sK5_SV160 @ SV81 @ SV24 ) )
| ~ ( SV81 @ ( sK5_SV160 @ SV81 @ SV24 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV24 @ SV81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1328]) ).
thf(1406,plain,
! [SV25: x_a,SV82: x_a > $o] :
( ( ( bot_bot_a_o @ ( sK1_SV152 @ SV82 @ SV25 ) )
| ( insert_a @ SV25 @ SV82 @ ( sK1_SV152 @ SV82 @ SV25 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1330]) ).
thf(1407,plain,
! [SV25: x_a,SV82: x_a > $o] :
( ( ~ ( bot_bot_a_o @ ( sK1_SV152 @ SV82 @ SV25 ) )
| ~ ( insert_a @ SV25 @ SV82 @ ( sK1_SV152 @ SV82 @ SV25 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1331]) ).
thf(1408,plain,
! [SV26: x_a > $o,SV186: x_a,SV83: x_a > $o] :
( ( ( ( SV83 @ SV186 )
= ( SV26 @ SV186 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV83 @ SV26 )
= $false )
| ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1332]) ).
thf(1409,plain,
! [SV85: x_a > $o,SV28: x_a > $o] :
( ( ( ~ ( ( SV28 @ ( sK6_SV161 @ SV85 @ SV28 ) )
| ( SV85 @ ( sK6_SV161 @ SV85 @ SV28 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV28 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1335]) ).
thf(1410,plain,
! [SV85: x_a > $o,SV28: x_a > $o] :
( ( ( ~ ( ~ ( SV28 @ ( sK6_SV161 @ SV85 @ SV28 ) )
| ~ ( SV85 @ ( sK6_SV161 @ SV85 @ SV28 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV28 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1335]) ).
thf(1411,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ! [SV187: x_a] :
( ( SV29 @ SV187 )
= ( SV86 @ SV187 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1337]) ).
thf(1412,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( SV29 = SV86 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1337]) ).
thf(1413,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) )
= $true )
| ( ( SV29 = SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1338]) ).
thf(1414,plain,
! [SV129: x_a > $o,SV30: x_a > $o,SV87: x_a] :
( ( ( ~ ( member_a @ SV87 @ SV30 ) )
= $false )
| ( ( ~ ( ~ ( ( ( insert_a @ SV87 @ SV129 )
!= ( insert_a @ SV87 @ SV30 ) )
| ( SV129 = SV30 ) )
| ~ ( ( SV129 != SV30 )
| ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) ) ) ) )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1339]) ).
thf(1415,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ! [SV188: x_a] :
( ( SV32 @ SV188 )
= ( SV89 @ SV188 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1341]) ).
thf(1416,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( SV32 = SV89 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1341]) ).
thf(1417,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) )
= $true )
| ( ( SV32 = SV89 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1342]) ).
thf(1418,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV91 @ SV34 ) )
= $true )
| ( ( SV91 = SV34 )
= $true )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1343]) ).
thf(1419,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( SV91 != SV34 )
= $true )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $true )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1344]) ).
thf(1420,plain,
! [SV153: x_a,SV132: x_a,SV93: x_a,SV36: x_a] :
( ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
!= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1345]) ).
thf(1421,plain,
! [SV153: x_a,SV93: x_a,SV132: x_a,SV36: x_a] :
( ( ( ~ ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) ) )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1346]) ).
thf(1422,plain,
! [SV96: x_a > $o,SV39: x_a > $o,SV135: x_a > $o] :
( ( ( ! [SV189: x_a] :
( ( SV135 @ SV189 )
= ( SV39 @ SV189 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV96 @ SV39 )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV135 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1348]) ).
thf(1423,plain,
! [SV96: x_a > $o,SV39: x_a > $o,SV135: x_a > $o] :
( ( ( SV135 = SV39 )
= $false )
| ( ( ord_less_eq_a_o @ SV96 @ SV39 )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV135 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1348]) ).
thf(1424,plain,
! [SV97: x_a > $o,SV40: x_a] :
( ( ( insert_a @ SV40 @ SV97 @ ( sK2_SV154 @ SV97 @ SV40 ) )
| ( bot_bot_a_o @ ( sK2_SV154 @ SV97 @ SV40 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1349]) ).
thf(1425,plain,
! [SV97: x_a > $o,SV40: x_a] :
( ( ~ ( insert_a @ SV40 @ SV97 @ ( sK2_SV154 @ SV97 @ SV40 ) )
| ~ ( bot_bot_a_o @ ( sK2_SV154 @ SV97 @ SV40 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1350]) ).
thf(1426,plain,
! [SV100: x_a,SV43: x_a] :
( ( ( ~ ( ( insert_a @ SV43 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) )
| ( insert_a @ SV100 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) ) ) )
= $false )
| ( ( SV43 = SV100 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1352]) ).
thf(1427,plain,
! [SV100: x_a,SV43: x_a] :
( ( ( ~ ( ~ ( insert_a @ SV43 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) )
| ~ ( insert_a @ SV100 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) ) ) )
= $false )
| ( ( SV43 = SV100 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1352]) ).
thf(1428,plain,
! [SV102: x_a,SV176: x_a,SV45: x_a > $o] :
( ( ( ~ ( ( SV45 @ SV176 )
| ( bot_bot_a_o @ SV176 ) )
| ~ ( ~ ( SV45 @ SV176 )
| ~ ( bot_bot_a_o @ SV176 ) ) )
= $true )
| ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1354]) ).
thf(1429,plain,
! [SV102: x_a,SV176: x_a,SV45: x_a > $o] :
( ( ( ( SV45 @ SV176 )
= ( bot_bot_a_o @ SV176 ) )
= $true )
| ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1354]) ).
thf(1430,plain,
! [SV102: x_a,SV190: x_a,SV45: x_a > $o] :
( ( ( ( SV45 @ SV190 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV190 ) )
= $true )
| ( ( SV45 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1355]) ).
thf(1431,plain,
! [SV155: x_a,SV103: x_a > $o,SV46: x_a] :
( ( ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 )
| ~ ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1357]) ).
thf(1432,plain,
! [SV155: x_a,SV103: x_a > $o,SV46: x_a] :
( ( ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 )
| ~ ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1357]) ).
thf(1433,plain,
! [SV104: x_a > $o,SV47: x_a > $o] :
( ( ( ~ ( ( SV47 @ ( sK8_SV163 @ SV104 @ SV47 ) )
| ( SV104 @ ( sK8_SV163 @ SV104 @ SV47 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV104 @ SV47 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1358]) ).
thf(1434,plain,
! [SV104: x_a > $o,SV47: x_a > $o] :
( ( ( ~ ( ~ ( SV47 @ ( sK8_SV163 @ SV104 @ SV47 ) )
| ~ ( SV104 @ ( sK8_SV163 @ SV104 @ SV47 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV104 @ SV47 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1358]) ).
thf(1435,plain,
! [SV139: x_a > $o,SV106: x_a,SV49: x_a] :
( ( ( member_a @ SV49 @ ( insert_a @ SV106 @ SV139 ) )
= $false )
| ( ( ( SV49 = SV106 )
| ( member_a @ SV49 @ SV139 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1360]) ).
thf(1436,plain,
! [SV139: x_a > $o,SV106: x_a,SV49: x_a] :
( ( ( ( SV49 = SV106 )
| ( member_a @ SV49 @ SV139 ) )
= $false )
| ( ( member_a @ SV49 @ ( insert_a @ SV106 @ SV139 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1361]) ).
thf(1437,plain,
! [SV191: x_a,SV51: x_a > $o] :
( ( ( ( SV51 @ SV191 )
= ( bot_bot_a_o @ SV191 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1362]) ).
thf(1438,plain,
! [SV51: x_a > $o] :
( ( ( ( SV51 @ ( sK13_SV179 @ SV51 ) )
= ( bot_bot_a_o @ ( sK13_SV179 @ SV51 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1364]) ).
thf(1439,plain,
! [SV141: x_a > $o,SV52: x_a > $o,SV108: x_a > $o] :
( ( ( ~ ( ( SV108 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
| ( SV141 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) ) )
| ~ ( ~ ( SV108 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
| ~ ( SV141 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV52 )
| ( ord_less_eq_a_o @ SV108 @ SV52 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1366]) ).
thf(1440,plain,
! [SV141: x_a > $o,SV52: x_a > $o,SV108: x_a > $o] :
( ( ( ( SV108 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
= ( SV141 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV52 )
| ( ord_less_eq_a_o @ SV108 @ SV52 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1366]) ).
thf(1441,plain,
! [SV108: x_a > $o,SV52: x_a > $o,SV141: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV141 @ SV52 )
= $false )
| ( ( ord_less_eq_a_o @ SV108 @ SV52 )
= $true )
| ( ( SV108 = SV141 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1367]) ).
thf(1442,plain,
! [SV53: x_a,SV142: x_a > $o,SV109: x_a] :
( ( ( member_a @ SV109 @ SV142 )
= $false )
| ( ( member_a @ SV109 @ ( insert_a @ SV53 @ SV142 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1368]) ).
thf(1443,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV54: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false )
| ( ( ~ ! [SY280: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY280 @ SV143 )
| ( SV54
!= ( image_pname_a @ SV110 @ SY280 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1369]) ).
thf(1444,plain,
! [SV110: pname > x_a,SV54: x_a > $o,SV143: pname > $o] :
( ( ( ~ ! [SY281: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY281 @ SV143 )
| ( SV54
!= ( image_pname_a @ SV110 @ SY281 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1370]) ).
thf(1445,plain,
! [SV145: x_a > $o,SV112: x_a > $o,SV56: x_a] :
( ( ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SV145 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV56 @ SV145 )
| ~ ( ord_less_eq_a_o @ SV112 @ SV145 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1371]) ).
thf(1446,plain,
! [SV112: x_a > $o,SV145: x_a > $o,SV56: x_a] :
( ( ( ~ ( ~ ( member_a @ SV56 @ SV145 )
| ~ ( ord_less_eq_a_o @ SV112 @ SV145 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SV145 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1372]) ).
thf(1447,plain,
! [SV164: x_a,SV57: x_a > $o] :
( ( ( ( SV57 @ SV164 )
| ( bot_bot_a_o @ SV164 ) )
= $false )
| ( ( ~ ( ~ ( SV57 @ SV164 )
| ~ ( bot_bot_a_o @ SV164 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1373]) ).
thf(1448,plain,
! [SV169: x_a,SV113: x_a > $o,SV58: x_a] :
( ( ( ~ ( ( insert_a @ SV58 @ SV113 @ SV169 )
| ( SV113 @ SV169 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV58 @ SV113 @ SV169 )
| ~ ( SV113 @ SV169 ) ) )
= $true )
| ( ( member_a @ SV58 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1374]) ).
thf(1449,plain,
! [SV146: x_a,SV114: x_a > $o,SV59: x_a] :
( ( ( insert_a @ SV59 @ SV114 @ SV146 )
= $false )
| ( ( ( SV59 = SV146 )
| ( SV114 @ SV146 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1376]) ).
thf(1450,plain,
! [SV114: x_a > $o,SV146: x_a,SV59: x_a] :
( ( ( ( SV59 = SV146 )
| ( SV114 @ SV146 ) )
= $false )
| ( ( insert_a @ SV59 @ SV114 @ SV146 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1377]) ).
thf(1451,plain,
! [SV180: x_a,SV147: pname > $o,SV115: pname,SV60: pname > x_a] :
( ( ( ~ ( ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 )
| ( image_pname_a @ SV60 @ SV147 @ SV180 ) )
| ~ ( ~ ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 )
| ~ ( image_pname_a @ SV60 @ SV147 @ SV180 ) ) )
= $true )
| ( ( member_pname @ SV115 @ SV147 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1378]) ).
thf(1452,plain,
! [SV180: x_a,SV147: pname > $o,SV115: pname,SV60: pname > x_a] :
( ( ( ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 )
= ( image_pname_a @ SV60 @ SV147 @ SV180 ) )
= $true )
| ( ( member_pname @ SV115 @ SV147 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1378]) ).
thf(1453,plain,
! [SV149: x_a,SV64: x_a > $o,SV2: x_a] :
( ( ( ~ ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 )
| ~ ( insert_a @ SV2 @ SV64 @ SV149 ) )
= $false )
| ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1381]) ).
thf(1454,plain,
! [SV149: x_a,SV64: x_a > $o,SV2: x_a] :
( ( ( ~ ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 )
| ~ ( insert_a @ SV2 @ SV64 @ SV149 ) )
= $false )
| ( ( insert_a @ SV2 @ SV64 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1382]) ).
thf(1455,plain,
! [SV157: x_a,SV119: x_a > $o,SV65: x_a,SV3: x_a] :
( ( ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 )
| ~ ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1383]) ).
thf(1456,plain,
! [SV157: x_a,SV119: x_a > $o,SV3: x_a,SV65: x_a] :
( ( ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 )
| ~ ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1383]) ).
thf(1457,plain,
! [SV158: x_a,SV120: pname > $o,SV67: pname,SV6: pname > x_a] :
( ( ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 )
= $false )
| ( ( ~ ( ~ ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 )
| ~ ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1384]) ).
thf(1458,plain,
! [SV158: x_a,SV120: pname > $o,SV67: pname,SV6: pname > x_a] :
( ( ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 )
= $false )
| ( ( ~ ( ~ ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 )
| ~ ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1384]) ).
thf(1459,plain,
! [SV10: x_a > $o,SV68: x_a,SV121: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV121 @ ( insert_a @ SV68 @ SV10 ) )
| ( ord_less_eq_a_o @ SV121 @ SV10 ) )
= $true )
| ( ( member_a @ SV68 @ SV121 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1385]) ).
thf(1460,plain,
! [SV68: x_a,SV10: x_a > $o,SV121: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV121 @ SV10 )
| ( ord_less_eq_a_o @ SV121 @ ( insert_a @ SV68 @ SV10 ) ) )
= $true )
| ( ( member_a @ SV68 @ SV121 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1386]) ).
thf(1461,plain,
! [SV181: x_a,SV11: x_a > $o] :
( ( ( ~ ( ( SV11 @ SV181 )
| ( bot_bot_a_o @ SV181 ) )
| ~ ( ~ ( SV11 @ SV181 )
| ~ ( bot_bot_a_o @ SV181 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1387]) ).
thf(1462,plain,
! [SV181: x_a,SV11: x_a > $o] :
( ( ( ( SV11 @ SV181 )
= ( bot_bot_a_o @ SV181 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1387]) ).
thf(1463,plain,
! [SV11: x_a > $o] :
( ( ( ~ ( ( SV11 @ ( sK11_SV172 @ SV11 ) )
| ( bot_bot_a_o @ ( sK11_SV172 @ SV11 ) ) )
| ~ ( ~ ( SV11 @ ( sK11_SV172 @ SV11 ) )
| ~ ( bot_bot_a_o @ ( sK11_SV172 @ SV11 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1388]) ).
thf(1464,plain,
! [SV11: x_a > $o] :
( ( ( ( SV11 @ ( sK11_SV172 @ SV11 ) )
= ( bot_bot_a_o @ ( sK11_SV172 @ SV11 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1388]) ).
thf(1465,plain,
! [SV69: x_a > $o,SV182: x_a,SV12: x_a > $o] :
( ( ( ~ ( ( SV12 @ SV182 )
| ( SV69 @ SV182 ) )
| ~ ( ~ ( SV12 @ SV182 )
| ~ ( SV69 @ SV182 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV69 @ SV12 )
= $false )
| ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1389]) ).
thf(1466,plain,
! [SV69: x_a > $o,SV182: x_a,SV12: x_a > $o] :
( ( ( ( SV12 @ SV182 )
= ( SV69 @ SV182 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV69 @ SV12 )
= $false )
| ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1389]) ).
thf(1467,plain,
! [SV13: x_a > $o,SV122: x_a > $o,SV70: x_a > $o] :
( ( ( ( SV70 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) )
= ( SV13 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV13 @ SV122 )
= $true )
| ( ( ord_less_eq_a_o @ SV70 @ SV122 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1390]) ).
thf(1468,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
| ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 )
| ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1392]) ).
thf(1469,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( ~ ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
| ~ ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 )
| ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1393]) ).
thf(1470,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 ) )
= $false )
| ( ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1394]) ).
thf(1471,plain,
! [SV15: x_a > $o,SV72: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) )
= $false )
| ( ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1394]) ).
thf(1472,plain,
! [SV124: x_a > $o,SV17: x_a > $o,SV74: x_a > $o] :
( ( ( ~ ( ( SV74 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
| ( SV124 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV124 )
| ( ord_less_eq_a_o @ SV17 @ SV74 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1397]) ).
thf(1473,plain,
! [SV124: x_a > $o,SV17: x_a > $o,SV74: x_a > $o] :
( ( ( ~ ( ~ ( SV74 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
| ~ ( SV124 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV124 )
| ( ord_less_eq_a_o @ SV17 @ SV74 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1397]) ).
thf(1474,plain,
! [SV74: x_a > $o,SV124: x_a > $o,SV17: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV124 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV17 @ SV74 )
= $true )
| ( ( ( SV74 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
= ( SV124 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1398]) ).
thf(1475,plain,
! [SV79: x_a > $o,SV185: x_a,SV22: x_a > $o] :
( ( ( ~ ( ( SV22 @ SV185 )
| ( SV79 @ SV185 ) )
| ~ ( ~ ( SV22 @ SV185 )
| ~ ( SV79 @ SV185 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV79 @ SV22 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1403]) ).
thf(1476,plain,
! [SV79: x_a > $o,SV185: x_a,SV22: x_a > $o] :
( ( ( ( SV22 @ SV185 )
= ( SV79 @ SV185 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV79 @ SV22 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1403]) ).
thf(1477,plain,
! [SV81: x_a > $o,SV24: x_a > $o] :
( ( ( ( SV24 @ ( sK5_SV160 @ SV81 @ SV24 ) )
| ( SV81 @ ( sK5_SV160 @ SV81 @ SV24 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV24 @ SV81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1404]) ).
thf(1478,plain,
! [SV81: x_a > $o,SV24: x_a > $o] :
( ( ( ~ ( SV24 @ ( sK5_SV160 @ SV81 @ SV24 ) )
| ~ ( SV81 @ ( sK5_SV160 @ SV81 @ SV24 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV24 @ SV81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1405]) ).
thf(1479,plain,
! [SV25: x_a,SV82: x_a > $o] :
( ( ( bot_bot_a_o @ ( sK1_SV152 @ SV82 @ SV25 ) )
= $true )
| ( ( insert_a @ SV25 @ SV82 @ ( sK1_SV152 @ SV82 @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1406]) ).
thf(1480,plain,
! [SV25: x_a,SV82: x_a > $o] :
( ( ( ~ ( bot_bot_a_o @ ( sK1_SV152 @ SV82 @ SV25 ) ) )
= $true )
| ( ( ~ ( insert_a @ SV25 @ SV82 @ ( sK1_SV152 @ SV82 @ SV25 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1407]) ).
thf(1481,plain,
! [SV26: x_a > $o,SV186: x_a,SV83: x_a > $o] :
( ( ( ~ ( ( SV83 @ SV186 )
| ( SV26 @ SV186 ) )
| ~ ( ~ ( SV83 @ SV186 )
| ~ ( SV26 @ SV186 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV83 @ SV26 )
= $false )
| ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1408]) ).
thf(1482,plain,
! [SV26: x_a > $o,SV186: x_a,SV83: x_a > $o] :
( ( ( ( SV83 @ SV186 )
= ( SV26 @ SV186 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV83 @ SV26 )
= $false )
| ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1408]) ).
thf(1483,plain,
! [SV85: x_a > $o,SV28: x_a > $o] :
( ( ( ( SV28 @ ( sK6_SV161 @ SV85 @ SV28 ) )
| ( SV85 @ ( sK6_SV161 @ SV85 @ SV28 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV28 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1409]) ).
thf(1484,plain,
! [SV85: x_a > $o,SV28: x_a > $o] :
( ( ( ~ ( SV28 @ ( sK6_SV161 @ SV85 @ SV28 ) )
| ~ ( SV85 @ ( sK6_SV161 @ SV85 @ SV28 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV28 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1410]) ).
thf(1485,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1411]) ).
thf(1486,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) )
= $false )
| ( ( SV29 = SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1412]) ).
thf(1487,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) )
= $true )
| ( ( SV29 = SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1413]) ).
thf(1488,plain,
! [SV129: x_a > $o,SV30: x_a > $o,SV87: x_a] :
( ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( ~ ( ~ ( ( ( insert_a @ SV87 @ SV129 )
!= ( insert_a @ SV87 @ SV30 ) )
| ( SV129 = SV30 ) )
| ~ ( ( SV129 != SV30 )
| ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) ) ) ) )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1414]) ).
thf(1489,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1415]) ).
thf(1490,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) )
= $false )
| ( ( SV32 = SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1416]) ).
thf(1491,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) )
= $true )
| ( ( SV32 = SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1417]) ).
thf(1492,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $false )
| ( ( SV91 = SV34 )
= $true )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1418]) ).
thf(1493,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( SV91 = SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $true )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1419]) ).
thf(1494,plain,
! [SV153: x_a,SV132: x_a,SV93: x_a,SV36: x_a] :
( ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $false )
| ( ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1420]) ).
thf(1495,plain,
! [SV153: x_a,SV93: x_a,SV132: x_a,SV36: x_a] :
( ( ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $false )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1421]) ).
thf(1496,plain,
! [SV39: x_a > $o,SV96: x_a > $o,SV135: x_a > $o] :
( ( ( ( SV135 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) )
= ( SV39 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV96 @ SV39 )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV135 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1422]) ).
thf(1497,plain,
! [SV97: x_a > $o,SV40: x_a] :
( ( ( insert_a @ SV40 @ SV97 @ ( sK2_SV154 @ SV97 @ SV40 ) )
= $true )
| ( ( bot_bot_a_o @ ( sK2_SV154 @ SV97 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1424]) ).
thf(1498,plain,
! [SV97: x_a > $o,SV40: x_a] :
( ( ( ~ ( insert_a @ SV40 @ SV97 @ ( sK2_SV154 @ SV97 @ SV40 ) ) )
= $true )
| ( ( ~ ( bot_bot_a_o @ ( sK2_SV154 @ SV97 @ SV40 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1425]) ).
thf(1499,plain,
! [SV100: x_a,SV43: x_a] :
( ( ( ( insert_a @ SV43 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) )
| ( insert_a @ SV100 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) ) )
= $true )
| ( ( SV43 = SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1426]) ).
thf(1500,plain,
! [SV100: x_a,SV43: x_a] :
( ( ( ~ ( insert_a @ SV43 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) )
| ~ ( insert_a @ SV100 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) ) )
= $true )
| ( ( SV43 = SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1427]) ).
thf(1501,plain,
! [SV102: x_a,SV176: x_a,SV45: x_a > $o] :
( ( ( ~ ( ( SV45 @ SV176 )
| ( bot_bot_a_o @ SV176 ) ) )
= $true )
| ( ( ~ ( ~ ( SV45 @ SV176 )
| ~ ( bot_bot_a_o @ SV176 ) ) )
= $true )
| ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1428]) ).
thf(1502,plain,
! [SV176: x_a,SV102: x_a,SV45: x_a > $o] :
( ( ( ! [SV192: x_a] :
( ( SV45 @ SV192 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV192 ) ) )
= $true )
| ( ( ( SV45 @ SV176 )
= ( bot_bot_a_o @ SV176 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1429]) ).
thf(1503,plain,
! [SV176: x_a,SV102: x_a,SV45: x_a > $o] :
( ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ( SV45 @ SV176 )
= ( bot_bot_a_o @ SV176 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1429]) ).
thf(1504,plain,
! [SV102: x_a,SV190: x_a,SV45: x_a > $o] :
( ( ( ~ ( ( SV45 @ SV190 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV190 ) )
| ~ ( ~ ( SV45 @ SV190 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV190 ) ) )
= $true )
| ( ( SV45 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1430]) ).
thf(1505,plain,
! [SV102: x_a,SV190: x_a,SV45: x_a > $o] :
( ( ( ( SV45 @ SV190 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV190 ) )
= $true )
| ( ( SV45 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1430]) ).
thf(1506,plain,
! [SV155: x_a,SV103: x_a > $o,SV46: x_a] :
( ( ( ~ ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 )
| ~ ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 ) )
= $false )
| ( ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1431]) ).
thf(1507,plain,
! [SV155: x_a,SV103: x_a > $o,SV46: x_a] :
( ( ( ~ ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 )
| ~ ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 ) )
= $false )
| ( ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1432]) ).
thf(1508,plain,
! [SV104: x_a > $o,SV47: x_a > $o] :
( ( ( ( SV47 @ ( sK8_SV163 @ SV104 @ SV47 ) )
| ( SV104 @ ( sK8_SV163 @ SV104 @ SV47 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV104 @ SV47 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1433]) ).
thf(1509,plain,
! [SV104: x_a > $o,SV47: x_a > $o] :
( ( ( ~ ( SV47 @ ( sK8_SV163 @ SV104 @ SV47 ) )
| ~ ( SV104 @ ( sK8_SV163 @ SV104 @ SV47 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV104 @ SV47 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1434]) ).
thf(1510,plain,
! [SV139: x_a > $o,SV106: x_a,SV49: x_a] :
( ( ( SV49 = SV106 )
= $true )
| ( ( member_a @ SV49 @ SV139 )
= $true )
| ( ( member_a @ SV49 @ ( insert_a @ SV106 @ SV139 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1435]) ).
thf(1511,plain,
! [SV139: x_a > $o,SV106: x_a,SV49: x_a] :
( ( ( SV49 = SV106 )
= $false )
| ( ( member_a @ SV49 @ ( insert_a @ SV106 @ SV139 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1436]) ).
thf(1512,plain,
! [SV106: x_a,SV139: x_a > $o,SV49: x_a] :
( ( ( member_a @ SV49 @ SV139 )
= $false )
| ( ( member_a @ SV49 @ ( insert_a @ SV106 @ SV139 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1436]) ).
thf(1513,plain,
! [SV191: x_a,SV51: x_a > $o] :
( ( ( ~ ( ( SV51 @ SV191 )
| ( bot_bot_a_o @ SV191 ) )
| ~ ( ~ ( SV51 @ SV191 )
| ~ ( bot_bot_a_o @ SV191 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1437]) ).
thf(1514,plain,
! [SV191: x_a,SV51: x_a > $o] :
( ( ( ( SV51 @ SV191 )
= ( bot_bot_a_o @ SV191 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1437]) ).
thf(1515,plain,
! [SV51: x_a > $o] :
( ( ( ~ ( ( SV51 @ ( sK13_SV179 @ SV51 ) )
| ( bot_bot_a_o @ ( sK13_SV179 @ SV51 ) ) )
| ~ ( ~ ( SV51 @ ( sK13_SV179 @ SV51 ) )
| ~ ( bot_bot_a_o @ ( sK13_SV179 @ SV51 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1438]) ).
thf(1516,plain,
! [SV51: x_a > $o] :
( ( ( ( SV51 @ ( sK13_SV179 @ SV51 ) )
= ( bot_bot_a_o @ ( sK13_SV179 @ SV51 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1438]) ).
thf(1517,plain,
! [SV141: x_a > $o,SV52: x_a > $o,SV108: x_a > $o] :
( ( ( ~ ( ( SV108 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
| ( SV141 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV52 )
| ( ord_less_eq_a_o @ SV108 @ SV52 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1439]) ).
thf(1518,plain,
! [SV141: x_a > $o,SV52: x_a > $o,SV108: x_a > $o] :
( ( ( ~ ( ~ ( SV108 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
| ~ ( SV141 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) ) ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV52 )
| ( ord_less_eq_a_o @ SV108 @ SV52 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1439]) ).
thf(1519,plain,
! [SV108: x_a > $o,SV52: x_a > $o,SV141: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV52 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV108 @ SV52 )
= $true )
| ( ( ( SV108 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
= ( SV141 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1440]) ).
thf(1520,plain,
! [SV110: pname > x_a,SV54: x_a > $o,SV143: pname > $o] :
( ( ( ! [SY280: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY280 @ SV143 )
| ( SV54
!= ( image_pname_a @ SV110 @ SY280 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1443]) ).
thf(1521,plain,
! [SV110: pname > x_a,SV54: x_a > $o,SV143: pname > $o] :
( ( ( ! [SY281: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY281 @ SV143 )
| ( SV54
!= ( image_pname_a @ SV110 @ SY281 ) ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1444]) ).
thf(1522,plain,
! [SV112: x_a > $o,SV145: x_a > $o,SV56: x_a] :
( ( ( ~ ( member_a @ SV56 @ SV145 )
| ~ ( ord_less_eq_a_o @ SV112 @ SV145 ) )
= $false )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SV145 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1445]) ).
thf(1523,plain,
! [SV112: x_a > $o,SV145: x_a > $o,SV56: x_a] :
( ( ( ~ ( member_a @ SV56 @ SV145 )
| ~ ( ord_less_eq_a_o @ SV112 @ SV145 ) )
= $true )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SV145 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1446]) ).
thf(1524,plain,
! [SV164: x_a,SV57: x_a > $o] :
( ( ( SV57 @ SV164 )
= $false )
| ( ( ~ ( ~ ( SV57 @ SV164 )
| ~ ( bot_bot_a_o @ SV164 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1447]) ).
thf(1525,plain,
! [SV57: x_a > $o,SV164: x_a] :
( ( ( bot_bot_a_o @ SV164 )
= $false )
| ( ( ~ ( ~ ( SV57 @ SV164 )
| ~ ( bot_bot_a_o @ SV164 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1447]) ).
thf(1526,plain,
! [SV169: x_a,SV113: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV113 @ SV169 )
| ( SV113 @ SV169 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV58 @ SV113 @ SV169 )
| ~ ( SV113 @ SV169 ) ) )
= $true )
| ( ( member_a @ SV58 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1448]) ).
thf(1527,plain,
! [SV114: x_a > $o,SV146: x_a,SV59: x_a] :
( ( ( SV59 = SV146 )
= $true )
| ( ( SV114 @ SV146 )
= $true )
| ( ( insert_a @ SV59 @ SV114 @ SV146 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1449]) ).
thf(1528,plain,
! [SV114: x_a > $o,SV146: x_a,SV59: x_a] :
( ( ( SV59 = SV146 )
= $false )
| ( ( insert_a @ SV59 @ SV114 @ SV146 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1450]) ).
thf(1529,plain,
! [SV59: x_a,SV146: x_a,SV114: x_a > $o] :
( ( ( SV114 @ SV146 )
= $false )
| ( ( insert_a @ SV59 @ SV114 @ SV146 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1450]) ).
thf(1530,plain,
! [SV180: x_a,SV147: pname > $o,SV115: pname,SV60: pname > x_a] :
( ( ( ~ ( ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 )
| ( image_pname_a @ SV60 @ SV147 @ SV180 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 )
| ~ ( image_pname_a @ SV60 @ SV147 @ SV180 ) ) )
= $true )
| ( ( member_pname @ SV115 @ SV147 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1451]) ).
thf(1531,plain,
! [SV149: x_a,SV64: x_a > $o,SV2: x_a] :
( ( ( ~ ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 ) )
= $false )
| ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1453]) ).
thf(1532,plain,
! [SV149: x_a,SV64: x_a > $o,SV2: x_a] :
( ( ( ~ ( insert_a @ SV2 @ SV64 @ SV149 ) )
= $false )
| ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1453]) ).
thf(1533,plain,
! [SV149: x_a,SV64: x_a > $o,SV2: x_a] :
( ( ( ~ ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 ) )
= $false )
| ( ( insert_a @ SV2 @ SV64 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1454]) ).
thf(1534,plain,
! [SV149: x_a,SV64: x_a > $o,SV2: x_a] :
( ( ( ~ ( insert_a @ SV2 @ SV64 @ SV149 ) )
= $false )
| ( ( insert_a @ SV2 @ SV64 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1454]) ).
thf(1535,plain,
! [SV157: x_a,SV119: x_a > $o,SV65: x_a,SV3: x_a] :
( ( ( ~ ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 )
| ~ ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 ) )
= $false )
| ( ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1455]) ).
thf(1536,plain,
! [SV157: x_a,SV119: x_a > $o,SV65: x_a,SV3: x_a] :
( ( ( ~ ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 )
| ~ ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 ) )
= $false )
| ( ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1456]) ).
thf(1537,plain,
! [SV158: x_a,SV120: pname > $o,SV67: pname,SV6: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 )
| ~ ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 ) )
= $false )
| ( ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1457]) ).
thf(1538,plain,
! [SV158: x_a,SV120: pname > $o,SV67: pname,SV6: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 )
| ~ ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 ) )
= $false )
| ( ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1458]) ).
thf(1539,plain,
! [SV10: x_a > $o,SV68: x_a,SV121: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV121 @ ( insert_a @ SV68 @ SV10 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV121 @ SV10 )
= $true )
| ( ( member_a @ SV68 @ SV121 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1459]) ).
thf(1540,plain,
! [SV68: x_a,SV10: x_a > $o,SV121: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV121 @ SV10 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV121 @ ( insert_a @ SV68 @ SV10 ) )
= $true )
| ( ( member_a @ SV68 @ SV121 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1460]) ).
thf(1541,plain,
! [SV181: x_a,SV11: x_a > $o] :
( ( ( ~ ( ( SV11 @ SV181 )
| ( bot_bot_a_o @ SV181 ) ) )
= $true )
| ( ( ~ ( ~ ( SV11 @ SV181 )
| ~ ( bot_bot_a_o @ SV181 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1461]) ).
thf(1542,plain,
! [SV11: x_a > $o] :
( ( ( ~ ( ( SV11 @ ( sK11_SV172 @ SV11 ) )
| ( bot_bot_a_o @ ( sK11_SV172 @ SV11 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1463]) ).
thf(1543,plain,
! [SV11: x_a > $o] :
( ( ( ~ ( ~ ( SV11 @ ( sK11_SV172 @ SV11 ) )
| ~ ( bot_bot_a_o @ ( sK11_SV172 @ SV11 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1463]) ).
thf(1544,plain,
! [SV69: x_a > $o,SV182: x_a,SV12: x_a > $o] :
( ( ( ~ ( ( SV12 @ SV182 )
| ( SV69 @ SV182 ) ) )
= $true )
| ( ( ~ ( ~ ( SV12 @ SV182 )
| ~ ( SV69 @ SV182 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV69 @ SV12 )
= $false )
| ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1465]) ).
thf(1545,plain,
! [SV13: x_a > $o,SV122: x_a > $o,SV70: x_a > $o] :
( ( ( ~ ( ( SV70 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) )
| ( SV13 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) ) )
| ~ ( ~ ( SV70 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) )
| ~ ( SV13 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV13 @ SV122 )
= $true )
| ( ( ord_less_eq_a_o @ SV70 @ SV122 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1467]) ).
thf(1546,plain,
! [SV13: x_a > $o,SV122: x_a > $o,SV70: x_a > $o] :
( ( ( ( SV70 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) )
= ( SV13 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV13 @ SV122 )
= $true )
| ( ( ord_less_eq_a_o @ SV70 @ SV122 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1467]) ).
thf(1547,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $true )
| ( ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 )
| ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1468]) ).
thf(1548,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( ~ ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) ) )
= $true )
| ( ( ~ ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 )
| ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1469]) ).
thf(1549,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV15 @ SV72 )
= $true )
| ( ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1470]) ).
thf(1550,plain,
! [SV15: x_a > $o,SV72: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV72 @ SV15 )
= $true )
| ( ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1471]) ).
thf(1551,plain,
! [SV124: x_a > $o,SV17: x_a > $o,SV74: x_a > $o] :
( ( ( ( SV74 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
| ( SV124 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV124 )
| ( ord_less_eq_a_o @ SV17 @ SV74 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1472]) ).
thf(1552,plain,
! [SV124: x_a > $o,SV17: x_a > $o,SV74: x_a > $o] :
( ( ( ~ ( SV74 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
| ~ ( SV124 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV124 )
| ( ord_less_eq_a_o @ SV17 @ SV74 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1473]) ).
thf(1553,plain,
! [SV74: x_a > $o,SV124: x_a > $o,SV17: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV17 @ SV124 )
= $false )
| ( ( ord_less_eq_a_o @ SV17 @ SV74 )
= $true )
| ( ( ( SV74 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
= ( SV124 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1474]) ).
thf(1554,plain,
! [SV79: x_a > $o,SV185: x_a,SV22: x_a > $o] :
( ( ( ~ ( ( SV22 @ SV185 )
| ( SV79 @ SV185 ) ) )
= $true )
| ( ( ~ ( ~ ( SV22 @ SV185 )
| ~ ( SV79 @ SV185 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV79 @ SV22 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1475]) ).
thf(1555,plain,
! [SV81: x_a > $o,SV24: x_a > $o] :
( ( ( SV24 @ ( sK5_SV160 @ SV81 @ SV24 ) )
= $true )
| ( ( SV81 @ ( sK5_SV160 @ SV81 @ SV24 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV24 @ SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1477]) ).
thf(1556,plain,
! [SV81: x_a > $o,SV24: x_a > $o] :
( ( ( ~ ( SV24 @ ( sK5_SV160 @ SV81 @ SV24 ) ) )
= $true )
| ( ( ~ ( SV81 @ ( sK5_SV160 @ SV81 @ SV24 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV24 @ SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1478]) ).
thf(1557,plain,
! [SV25: x_a,SV82: x_a > $o] :
( ( ( bot_bot_a_o @ ( sK1_SV152 @ SV82 @ SV25 ) )
= $false )
| ( ( ~ ( insert_a @ SV25 @ SV82 @ ( sK1_SV152 @ SV82 @ SV25 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1480]) ).
thf(1558,plain,
! [SV26: x_a > $o,SV186: x_a,SV83: x_a > $o] :
( ( ( ~ ( ( SV83 @ SV186 )
| ( SV26 @ SV186 ) ) )
= $true )
| ( ( ~ ( ~ ( SV83 @ SV186 )
| ~ ( SV26 @ SV186 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV83 @ SV26 )
= $false )
| ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1481]) ).
thf(1559,plain,
! [SV85: x_a > $o,SV28: x_a > $o] :
( ( ( SV28 @ ( sK6_SV161 @ SV85 @ SV28 ) )
= $true )
| ( ( SV85 @ ( sK6_SV161 @ SV85 @ SV28 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV28 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1483]) ).
thf(1560,plain,
! [SV85: x_a > $o,SV28: x_a > $o] :
( ( ( ~ ( SV28 @ ( sK6_SV161 @ SV85 @ SV28 ) ) )
= $true )
| ( ( ~ ( SV85 @ ( sK6_SV161 @ SV85 @ SV28 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV28 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1484]) ).
thf(1561,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ~ ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
| ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) ) )
| ~ ( ~ ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
| ~ ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1485]) ).
thf(1562,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1485]) ).
thf(1563,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 ) )
= $false )
| ( ( SV29 = SV86 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1486]) ).
thf(1564,plain,
! [SV29: x_a > $o,SV86: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) )
= $false )
| ( ( SV29 = SV86 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1486]) ).
thf(1565,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) )
= $true )
| ( ( SV29 = SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1487]) ).
thf(1566,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( ( ( insert_a @ SV87 @ SV129 )
!= ( insert_a @ SV87 @ SV30 ) )
| ( SV129 = SV30 ) )
| ~ ( ( SV129 != SV30 )
| ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1488]) ).
thf(1567,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ~ ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
| ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) ) )
| ~ ( ~ ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
| ~ ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1489]) ).
thf(1568,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1489]) ).
thf(1569,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 ) )
= $false )
| ( ( SV32 = SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1490]) ).
thf(1570,plain,
! [SV32: x_a > $o,SV89: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) )
= $false )
| ( ( SV32 = SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1490]) ).
thf(1571,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) )
= $true )
| ( ( SV32 = SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1491]) ).
thf(1572,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( ! [SV193: x_a] :
( ( SV91 @ SV193 )
= ( SV34 @ SV193 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1492]) ).
thf(1573,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( SV91 = SV34 )
= $true )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1492]) ).
thf(1574,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( ! [SV194: x_a] :
( ( SV91 @ SV194 )
= ( SV34 @ SV194 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $true )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1493]) ).
thf(1575,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( SV91 = SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $true )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1493]) ).
thf(1576,plain,
! [SV153: x_a,SV132: x_a,SV93: x_a,SV36: x_a] :
( ( ( ! [SV195: x_a] :
( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV195 )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV195 ) ) )
= $false )
| ( ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1494]) ).
thf(1577,plain,
! [SV153: x_a,SV132: x_a,SV93: x_a,SV36: x_a] :
( ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $false )
| ( ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1494]) ).
thf(1578,plain,
! [SV153: x_a,SV93: x_a,SV132: x_a,SV36: x_a] :
( ( ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) ) )
= $false )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1495]) ).
thf(1579,plain,
! [SV132: x_a,SV93: x_a,SV153: x_a,SV36: x_a] :
( ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $false )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1495]) ).
thf(1580,plain,
! [SV39: x_a > $o,SV96: x_a > $o,SV135: x_a > $o] :
( ( ( ~ ( ( SV135 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) )
| ( SV39 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) ) )
| ~ ( ~ ( SV135 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) )
| ~ ( SV39 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV96 @ SV39 )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV135 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1496]) ).
thf(1581,plain,
! [SV39: x_a > $o,SV96: x_a > $o,SV135: x_a > $o] :
( ( ( ( SV135 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) )
= ( SV39 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV96 @ SV39 )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV135 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1496]) ).
thf(1582,plain,
! [SV97: x_a > $o,SV40: x_a] :
( ( ( insert_a @ SV40 @ SV97 @ ( sK2_SV154 @ SV97 @ SV40 ) )
= $false )
| ( ( ~ ( bot_bot_a_o @ ( sK2_SV154 @ SV97 @ SV40 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1498]) ).
thf(1583,plain,
! [SV100: x_a,SV43: x_a] :
( ( ( insert_a @ SV43 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) )
= $true )
| ( ( insert_a @ SV100 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) )
= $true )
| ( ( SV43 = SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1499]) ).
thf(1584,plain,
! [SV100: x_a,SV43: x_a] :
( ( ( ~ ( insert_a @ SV43 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) ) )
= $true )
| ( ( ~ ( insert_a @ SV100 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) ) )
= $true )
| ( ( SV43 = SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1500]) ).
thf(1585,plain,
! [SV102: x_a,SV176: x_a,SV45: x_a > $o] :
( ( ( ( SV45 @ SV176 )
| ( bot_bot_a_o @ SV176 ) )
= $false )
| ( ( ~ ( ~ ( SV45 @ SV176 )
| ~ ( bot_bot_a_o @ SV176 ) ) )
= $true )
| ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1501]) ).
thf(1586,plain,
! [SV176: x_a,SV102: x_a,SV196: x_a,SV45: x_a > $o] :
( ( ( ( SV45 @ SV196 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV196 ) )
= $true )
| ( ( ( SV45 @ SV176 )
= ( bot_bot_a_o @ SV176 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1502]) ).
thf(1587,plain,
! [SV102: x_a,SV190: x_a,SV45: x_a > $o] :
( ( ( ~ ( ( SV45 @ SV190 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV190 ) ) )
= $true )
| ( ( ~ ( ~ ( SV45 @ SV190 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV190 ) ) )
= $true )
| ( ( SV45 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1504]) ).
thf(1588,plain,
! [SV155: x_a,SV103: x_a > $o,SV46: x_a] :
( ( ( ~ ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 ) )
= $false )
| ( ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1506]) ).
thf(1589,plain,
! [SV155: x_a,SV103: x_a > $o,SV46: x_a] :
( ( ( ~ ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 ) )
= $false )
| ( ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1506]) ).
thf(1590,plain,
! [SV155: x_a,SV103: x_a > $o,SV46: x_a] :
( ( ( ~ ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 ) )
= $false )
| ( ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1507]) ).
thf(1591,plain,
! [SV155: x_a,SV103: x_a > $o,SV46: x_a] :
( ( ( ~ ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 ) )
= $false )
| ( ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1507]) ).
thf(1592,plain,
! [SV104: x_a > $o,SV47: x_a > $o] :
( ( ( SV47 @ ( sK8_SV163 @ SV104 @ SV47 ) )
= $true )
| ( ( SV104 @ ( sK8_SV163 @ SV104 @ SV47 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV104 @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1508]) ).
thf(1593,plain,
! [SV104: x_a > $o,SV47: x_a > $o] :
( ( ( ~ ( SV47 @ ( sK8_SV163 @ SV104 @ SV47 ) ) )
= $true )
| ( ( ~ ( SV104 @ ( sK8_SV163 @ SV104 @ SV47 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV104 @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1509]) ).
thf(1594,plain,
! [SV191: x_a,SV51: x_a > $o] :
( ( ( ~ ( ( SV51 @ SV191 )
| ( bot_bot_a_o @ SV191 ) ) )
= $true )
| ( ( ~ ( ~ ( SV51 @ SV191 )
| ~ ( bot_bot_a_o @ SV191 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1513]) ).
thf(1595,plain,
! [SV51: x_a > $o] :
( ( ( ~ ( ( SV51 @ ( sK13_SV179 @ SV51 ) )
| ( bot_bot_a_o @ ( sK13_SV179 @ SV51 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1515]) ).
thf(1596,plain,
! [SV51: x_a > $o] :
( ( ( ~ ( ~ ( SV51 @ ( sK13_SV179 @ SV51 ) )
| ~ ( bot_bot_a_o @ ( sK13_SV179 @ SV51 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1515]) ).
thf(1597,plain,
! [SV141: x_a > $o,SV52: x_a > $o,SV108: x_a > $o] :
( ( ( ( SV108 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
| ( SV141 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV52 )
| ( ord_less_eq_a_o @ SV108 @ SV52 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1517]) ).
thf(1598,plain,
! [SV141: x_a > $o,SV52: x_a > $o,SV108: x_a > $o] :
( ( ( ~ ( SV108 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
| ~ ( SV141 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV52 )
| ( ord_less_eq_a_o @ SV108 @ SV52 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1518]) ).
thf(1599,plain,
! [SV108: x_a > $o,SV52: x_a > $o,SV141: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV141 @ SV52 )
= $false )
| ( ( ord_less_eq_a_o @ SV108 @ SV52 )
= $true )
| ( ( ( SV108 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
= ( SV141 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1519]) ).
thf(1600,plain,
! [SV143: pname > $o,SV54: x_a > $o,SV110: pname > x_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_pname_o @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV143 )
| ( SV54
!= ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1520]) ).
thf(1601,plain,
! [SV110: pname > x_a,SV54: x_a > $o,SV143: pname > $o,SV197: pname > $o] :
( ( ( ~ ~ ( ~ ( ord_less_eq_pname_o @ SV197 @ SV143 )
| ( SV54
!= ( image_pname_a @ SV110 @ SV197 ) ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1521]) ).
thf(1602,plain,
! [SV112: x_a > $o,SV145: x_a > $o,SV56: x_a] :
( ( ( ~ ( member_a @ SV56 @ SV145 ) )
= $false )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SV145 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1522]) ).
thf(1603,plain,
! [SV56: x_a,SV145: x_a > $o,SV112: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV112 @ SV145 ) )
= $false )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SV145 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1522]) ).
thf(1604,plain,
! [SV112: x_a > $o,SV145: x_a > $o,SV56: x_a] :
( ( ( ~ ( member_a @ SV56 @ SV145 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV112 @ SV145 ) )
= $true )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SV145 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1523]) ).
thf(1605,plain,
! [SV164: x_a,SV57: x_a > $o] :
( ( ( ~ ( SV57 @ SV164 )
| ~ ( bot_bot_a_o @ SV164 ) )
= $false )
| ( ( SV57 @ SV164 )
= $false )
| ( ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1524]) ).
thf(1606,plain,
! [SV164: x_a,SV57: x_a > $o] :
( ( ( ~ ( SV57 @ SV164 )
| ~ ( bot_bot_a_o @ SV164 ) )
= $false )
| ( ( bot_bot_a_o @ SV164 )
= $false )
| ( ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1525]) ).
thf(1607,plain,
! [SV169: x_a,SV113: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV113 @ SV169 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV58 @ SV113 @ SV169 )
| ~ ( SV113 @ SV169 ) ) )
= $true )
| ( ( member_a @ SV58 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1526]) ).
thf(1608,plain,
! [SV58: x_a,SV169: x_a,SV113: x_a > $o] :
( ( ( SV113 @ SV169 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV58 @ SV113 @ SV169 )
| ~ ( SV113 @ SV169 ) ) )
= $true )
| ( ( member_a @ SV58 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1526]) ).
thf(1609,plain,
! [SV180: x_a,SV147: pname > $o,SV115: pname,SV60: pname > x_a] :
( ( ( ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 )
| ( image_pname_a @ SV60 @ SV147 @ SV180 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 )
| ~ ( image_pname_a @ SV60 @ SV147 @ SV180 ) ) )
= $true )
| ( ( member_pname @ SV115 @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1530]) ).
thf(1610,plain,
! [SV149: x_a,SV64: x_a > $o,SV2: x_a] :
( ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 )
= $true )
| ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1531]) ).
thf(1611,plain,
! [SV149: x_a,SV64: x_a > $o,SV2: x_a] :
( ( ( insert_a @ SV2 @ SV64 @ SV149 )
= $true )
| ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1532]) ).
thf(1612,plain,
! [SV149: x_a,SV64: x_a > $o,SV2: x_a] :
( ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV64 ) @ SV149 )
= $true )
| ( ( insert_a @ SV2 @ SV64 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1533]) ).
thf(1613,plain,
! [SV149: x_a,SV64: x_a > $o,SV2: x_a] :
( ( ( insert_a @ SV2 @ SV64 @ SV149 )
= $true )
| ( ( insert_a @ SV2 @ SV64 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1534]) ).
thf(1614,plain,
! [SV157: x_a,SV119: x_a > $o,SV65: x_a,SV3: x_a] :
( ( ( ~ ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 ) )
= $false )
| ( ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1535]) ).
thf(1615,plain,
! [SV157: x_a,SV119: x_a > $o,SV3: x_a,SV65: x_a] :
( ( ( ~ ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 ) )
= $false )
| ( ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1535]) ).
thf(1616,plain,
! [SV157: x_a,SV119: x_a > $o,SV65: x_a,SV3: x_a] :
( ( ( ~ ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 ) )
= $false )
| ( ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1536]) ).
thf(1617,plain,
! [SV157: x_a,SV119: x_a > $o,SV3: x_a,SV65: x_a] :
( ( ( ~ ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 ) )
= $false )
| ( ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1536]) ).
thf(1618,plain,
! [SV158: x_a,SV120: pname > $o,SV67: pname,SV6: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 ) )
= $false )
| ( ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1537]) ).
thf(1619,plain,
! [SV158: x_a,SV120: pname > $o,SV67: pname,SV6: pname > x_a] :
( ( ( ~ ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 ) )
= $false )
| ( ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1537]) ).
thf(1620,plain,
! [SV158: x_a,SV120: pname > $o,SV67: pname,SV6: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 ) )
= $false )
| ( ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1538]) ).
thf(1621,plain,
! [SV158: x_a,SV120: pname > $o,SV67: pname,SV6: pname > x_a] :
( ( ( ~ ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 ) )
= $false )
| ( ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1538]) ).
thf(1622,plain,
! [SV10: x_a > $o,SV68: x_a,SV121: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV121 @ ( insert_a @ SV68 @ SV10 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV121 @ SV10 )
= $true )
| ( ( member_a @ SV68 @ SV121 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1539]) ).
thf(1623,plain,
! [SV68: x_a,SV10: x_a > $o,SV121: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV121 @ SV10 )
= $false )
| ( ( ord_less_eq_a_o @ SV121 @ ( insert_a @ SV68 @ SV10 ) )
= $true )
| ( ( member_a @ SV68 @ SV121 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1540]) ).
thf(1624,plain,
! [SV181: x_a,SV11: x_a > $o] :
( ( ( ( SV11 @ SV181 )
| ( bot_bot_a_o @ SV181 ) )
= $false )
| ( ( ~ ( ~ ( SV11 @ SV181 )
| ~ ( bot_bot_a_o @ SV181 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1541]) ).
thf(1625,plain,
! [SV11: x_a > $o] :
( ( ( ( SV11 @ ( sK11_SV172 @ SV11 ) )
| ( bot_bot_a_o @ ( sK11_SV172 @ SV11 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1542]) ).
thf(1626,plain,
! [SV11: x_a > $o] :
( ( ( ~ ( SV11 @ ( sK11_SV172 @ SV11 ) )
| ~ ( bot_bot_a_o @ ( sK11_SV172 @ SV11 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1543]) ).
thf(1627,plain,
! [SV69: x_a > $o,SV182: x_a,SV12: x_a > $o] :
( ( ( ( SV12 @ SV182 )
| ( SV69 @ SV182 ) )
= $false )
| ( ( ~ ( ~ ( SV12 @ SV182 )
| ~ ( SV69 @ SV182 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV69 @ SV12 )
= $false )
| ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1544]) ).
thf(1628,plain,
! [SV13: x_a > $o,SV122: x_a > $o,SV70: x_a > $o] :
( ( ( ~ ( ( SV70 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) )
| ( SV13 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV13 @ SV122 )
= $true )
| ( ( ord_less_eq_a_o @ SV70 @ SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1545]) ).
thf(1629,plain,
! [SV13: x_a > $o,SV122: x_a > $o,SV70: x_a > $o] :
( ( ( ~ ( ~ ( SV70 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) )
| ~ ( SV13 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV13 @ SV122 )
= $true )
| ( ( ord_less_eq_a_o @ SV70 @ SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1545]) ).
thf(1630,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 )
| ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) )
= $false )
| ( ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $true )
| ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1547]) ).
thf(1631,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $false )
| ( ( ~ ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 )
| ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1548]) ).
thf(1632,plain,
! [SV124: x_a > $o,SV17: x_a > $o,SV74: x_a > $o] :
( ( ( SV74 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
= $true )
| ( ( SV124 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV124 )
| ( ord_less_eq_a_o @ SV17 @ SV74 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1551]) ).
thf(1633,plain,
! [SV124: x_a > $o,SV17: x_a > $o,SV74: x_a > $o] :
( ( ( ~ ( SV74 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) ) )
= $true )
| ( ( ~ ( SV124 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV124 )
| ( ord_less_eq_a_o @ SV17 @ SV74 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1552]) ).
thf(1634,plain,
! [SV79: x_a > $o,SV185: x_a,SV22: x_a > $o] :
( ( ( ( SV22 @ SV185 )
| ( SV79 @ SV185 ) )
= $false )
| ( ( ~ ( ~ ( SV22 @ SV185 )
| ~ ( SV79 @ SV185 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV79 @ SV22 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1554]) ).
thf(1635,plain,
! [SV81: x_a > $o,SV24: x_a > $o] :
( ( ( SV24 @ ( sK5_SV160 @ SV81 @ SV24 ) )
= $false )
| ( ( ~ ( SV81 @ ( sK5_SV160 @ SV81 @ SV24 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV24 @ SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1556]) ).
thf(1636,plain,
! [SV82: x_a > $o,SV25: x_a] :
( ( ( insert_a @ SV25 @ SV82 @ ( sK1_SV152 @ SV82 @ SV25 ) )
= $false )
| ( ( bot_bot_a_o @ ( sK1_SV152 @ SV82 @ SV25 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1557]) ).
thf(1637,plain,
! [SV26: x_a > $o,SV186: x_a,SV83: x_a > $o] :
( ( ( ( SV83 @ SV186 )
| ( SV26 @ SV186 ) )
= $false )
| ( ( ~ ( ~ ( SV83 @ SV186 )
| ~ ( SV26 @ SV186 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV83 @ SV26 )
= $false )
| ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1558]) ).
thf(1638,plain,
! [SV85: x_a > $o,SV28: x_a > $o] :
( ( ( SV28 @ ( sK6_SV161 @ SV85 @ SV28 ) )
= $false )
| ( ( ~ ( SV85 @ ( sK6_SV161 @ SV85 @ SV28 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV28 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1560]) ).
thf(1639,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ~ ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
| ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1561]) ).
thf(1640,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ~ ( ~ ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
| ~ ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1561]) ).
thf(1641,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) )
= $false )
| ( ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1562]) ).
thf(1642,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $true )
| ( ( SV29 = SV86 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1563]) ).
thf(1643,plain,
! [SV29: x_a > $o,SV86: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $true )
| ( ( SV29 = SV86 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1564]) ).
thf(1644,plain,
! [SV29: x_a > $o,SV86: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $false )
| ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $false )
| ( ( SV29 = SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1565]) ).
thf(1645,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( ( ( insert_a @ SV87 @ SV129 )
!= ( insert_a @ SV87 @ SV30 ) )
| ( SV129 = SV30 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1566]) ).
thf(1646,plain,
! [SV87: x_a,SV30: x_a > $o,SV129: x_a > $o] :
( ( ( ~ ( ( SV129 != SV30 )
| ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1566]) ).
thf(1647,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ~ ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
| ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1567]) ).
thf(1648,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ~ ( ~ ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
| ~ ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1567]) ).
thf(1649,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) )
= $false )
| ( ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1568]) ).
thf(1650,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $true )
| ( ( SV32 = SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1569]) ).
thf(1651,plain,
! [SV32: x_a > $o,SV89: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $true )
| ( ( SV32 = SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1570]) ).
thf(1652,plain,
! [SV32: x_a > $o,SV89: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $false )
| ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $false )
| ( ( SV32 = SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1571]) ).
thf(1653,plain,
! [SV34: x_a > $o,SV198: x_a,SV91: x_a > $o] :
( ( ( ( SV91 @ SV198 )
= ( SV34 @ SV198 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1572]) ).
thf(1654,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( ( SV91 @ ( sK19_SV194 @ SV34 @ SV91 ) )
= ( SV34 @ ( sK19_SV194 @ SV34 @ SV91 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $true )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1574]) ).
thf(1655,plain,
! [SV132: x_a,SV153: x_a,SV93: x_a,SV36: x_a] :
( ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $false )
| ( ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1576]) ).
thf(1656,plain,
! [SV153: x_a,SV93: x_a,SV132: x_a,SV36: x_a] :
( ( ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1577]) ).
thf(1657,plain,
! [SV153: x_a,SV93: x_a,SV132: x_a,SV36: x_a] :
( ( ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1578]) ).
thf(1658,plain,
! [SV132: x_a,SV93: x_a,SV153: x_a,SV36: x_a] :
( ( ( ( SV36 != SV153 )
| ( SV93 != SV132 ) )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1579]) ).
thf(1659,plain,
! [SV39: x_a > $o,SV96: x_a > $o,SV135: x_a > $o] :
( ( ( ~ ( ( SV135 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) )
| ( SV39 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV96 @ SV39 )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV135 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1580]) ).
thf(1660,plain,
! [SV39: x_a > $o,SV96: x_a > $o,SV135: x_a > $o] :
( ( ( ~ ( ~ ( SV135 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) )
| ~ ( SV39 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV96 @ SV39 )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV135 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1580]) ).
thf(1661,plain,
! [SV40: x_a,SV97: x_a > $o] :
( ( ( bot_bot_a_o @ ( sK2_SV154 @ SV97 @ SV40 ) )
= $false )
| ( ( insert_a @ SV40 @ SV97 @ ( sK2_SV154 @ SV97 @ SV40 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1582]) ).
thf(1662,plain,
! [SV100: x_a,SV43: x_a] :
( ( ( insert_a @ SV43 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) )
= $false )
| ( ( ~ ( insert_a @ SV100 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) ) )
= $true )
| ( ( SV43 = SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1584]) ).
thf(1663,plain,
! [SV102: x_a,SV176: x_a,SV45: x_a > $o] :
( ( ( SV45 @ SV176 )
= $false )
| ( ( ~ ( ~ ( SV45 @ SV176 )
| ~ ( bot_bot_a_o @ SV176 ) ) )
= $true )
| ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1585]) ).
thf(1664,plain,
! [SV102: x_a,SV45: x_a > $o,SV176: x_a] :
( ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( ~ ( ~ ( SV45 @ SV176 )
| ~ ( bot_bot_a_o @ SV176 ) ) )
= $true )
| ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1585]) ).
thf(1665,plain,
! [SV176: x_a,SV102: x_a,SV196: x_a,SV45: x_a > $o] :
( ( ( ~ ( ( SV45 @ SV196 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV196 ) )
| ~ ( ~ ( SV45 @ SV196 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV196 ) ) )
= $true )
| ( ( ( SV45 @ SV176 )
= ( bot_bot_a_o @ SV176 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1586]) ).
thf(1666,plain,
! [SV176: x_a,SV102: x_a,SV196: x_a,SV45: x_a > $o] :
( ( ( ( SV45 @ SV196 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV196 ) )
= $true )
| ( ( ( SV45 @ SV176 )
= ( bot_bot_a_o @ SV176 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1586]) ).
thf(1667,plain,
! [SV102: x_a,SV190: x_a,SV45: x_a > $o] :
( ( ( ( SV45 @ SV190 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV190 ) )
= $false )
| ( ( ~ ( ~ ( SV45 @ SV190 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV190 ) ) )
= $true )
| ( ( SV45 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1587]) ).
thf(1668,plain,
! [SV155: x_a,SV103: x_a > $o,SV46: x_a] :
( ( ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 )
= $true )
| ( ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1588]) ).
thf(1669,plain,
! [SV155: x_a,SV103: x_a > $o,SV46: x_a] :
( ( ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 )
= $true )
| ( ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1589]) ).
thf(1670,plain,
! [SV155: x_a,SV103: x_a > $o,SV46: x_a] :
( ( ( insert_a @ SV46 @ ( collect_a @ SV103 ) @ SV155 )
= $true )
| ( ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1590]) ).
thf(1671,plain,
! [SV155: x_a,SV103: x_a > $o,SV46: x_a] :
( ( ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 )
= $true )
| ( ( collect_a
@ ^ [SY264: x_a] :
( ~ ( ( SY264 != SV46 ) )
| ( SV103 @ SY264 ) )
@ SV155 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1591]) ).
thf(1672,plain,
! [SV104: x_a > $o,SV47: x_a > $o] :
( ( ( SV47 @ ( sK8_SV163 @ SV104 @ SV47 ) )
= $false )
| ( ( ~ ( SV104 @ ( sK8_SV163 @ SV104 @ SV47 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV104 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1593]) ).
thf(1673,plain,
! [SV191: x_a,SV51: x_a > $o] :
( ( ( ( SV51 @ SV191 )
| ( bot_bot_a_o @ SV191 ) )
= $false )
| ( ( ~ ( ~ ( SV51 @ SV191 )
| ~ ( bot_bot_a_o @ SV191 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1594]) ).
thf(1674,plain,
! [SV51: x_a > $o] :
( ( ( ( SV51 @ ( sK13_SV179 @ SV51 ) )
| ( bot_bot_a_o @ ( sK13_SV179 @ SV51 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1595]) ).
thf(1675,plain,
! [SV51: x_a > $o] :
( ( ( ~ ( SV51 @ ( sK13_SV179 @ SV51 ) )
| ~ ( bot_bot_a_o @ ( sK13_SV179 @ SV51 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1596]) ).
thf(1676,plain,
! [SV141: x_a > $o,SV52: x_a > $o,SV108: x_a > $o] :
( ( ( SV108 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
= $true )
| ( ( SV141 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV52 )
| ( ord_less_eq_a_o @ SV108 @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1597]) ).
thf(1677,plain,
! [SV141: x_a > $o,SV52: x_a > $o,SV108: x_a > $o] :
( ( ( ~ ( SV108 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) ) )
= $true )
| ( ( ~ ( SV141 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV52 )
| ( ord_less_eq_a_o @ SV108 @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1598]) ).
thf(1678,plain,
! [SV143: pname > $o,SV54: x_a > $o,SV110: pname > x_a] :
( ( ( ~ ( ~ ( ord_less_eq_pname_o @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV143 )
| ( SV54
!= ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) ) ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1600]) ).
thf(1679,plain,
! [SV110: pname > x_a,SV54: x_a > $o,SV143: pname > $o,SV197: pname > $o] :
( ( ( ~ ( ~ ( ord_less_eq_pname_o @ SV197 @ SV143 )
| ( SV54
!= ( image_pname_a @ SV110 @ SV197 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1601]) ).
thf(1680,plain,
! [SV112: x_a > $o,SV145: x_a > $o,SV56: x_a] :
( ( ( member_a @ SV56 @ SV145 )
= $true )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SV145 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1602]) ).
thf(1681,plain,
! [SV56: x_a,SV145: x_a > $o,SV112: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV112 @ SV145 )
= $true )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SV145 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1603]) ).
thf(1682,plain,
! [SV112: x_a > $o,SV145: x_a > $o,SV56: x_a] :
( ( ( member_a @ SV56 @ SV145 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV112 @ SV145 ) )
= $true )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SV145 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1604]) ).
thf(1683,plain,
! [SV164: x_a,SV57: x_a > $o] :
( ( ( ~ ( SV57 @ SV164 ) )
= $false )
| ( ( SV57 @ SV164 )
= $false )
| ( ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1605]) ).
thf(1684,plain,
! [SV57: x_a > $o,SV164: x_a] :
( ( ( ~ ( bot_bot_a_o @ SV164 ) )
= $false )
| ( ( SV57 @ SV164 )
= $false )
| ( ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1605]) ).
thf(1685,plain,
! [SV164: x_a,SV57: x_a > $o] :
( ( ( ~ ( SV57 @ SV164 ) )
= $false )
| ( ( bot_bot_a_o @ SV164 )
= $false )
| ( ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1606]) ).
thf(1686,plain,
! [SV57: x_a > $o,SV164: x_a] :
( ( ( ~ ( bot_bot_a_o @ SV164 ) )
= $false )
| ( ( bot_bot_a_o @ SV164 )
= $false )
| ( ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1606]) ).
thf(1687,plain,
! [SV169: x_a,SV113: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV113 @ SV169 )
| ~ ( SV113 @ SV169 ) )
= $false )
| ( ( insert_a @ SV58 @ SV113 @ SV169 )
= $false )
| ( ( member_a @ SV58 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1607]) ).
thf(1688,plain,
! [SV169: x_a,SV113: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV113 @ SV169 )
| ~ ( SV113 @ SV169 ) )
= $false )
| ( ( SV113 @ SV169 )
= $false )
| ( ( member_a @ SV58 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1608]) ).
thf(1689,plain,
! [SV180: x_a,SV147: pname > $o,SV115: pname,SV60: pname > x_a] :
( ( ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 )
= $false )
| ( ( ~ ( ~ ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 )
| ~ ( image_pname_a @ SV60 @ SV147 @ SV180 ) ) )
= $true )
| ( ( member_pname @ SV115 @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1609]) ).
thf(1690,plain,
! [SV115: pname,SV180: x_a,SV147: pname > $o,SV60: pname > x_a] :
( ( ( image_pname_a @ SV60 @ SV147 @ SV180 )
= $false )
| ( ( ~ ( ~ ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 )
| ~ ( image_pname_a @ SV60 @ SV147 @ SV180 ) ) )
= $true )
| ( ( member_pname @ SV115 @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1609]) ).
thf(1691,plain,
! [SV157: x_a,SV119: x_a > $o,SV65: x_a,SV3: x_a] :
( ( ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 )
= $true )
| ( ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1614]) ).
thf(1692,plain,
! [SV157: x_a,SV119: x_a > $o,SV3: x_a,SV65: x_a] :
( ( ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 )
= $true )
| ( ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1615]) ).
thf(1693,plain,
! [SV157: x_a,SV119: x_a > $o,SV65: x_a,SV3: x_a] :
( ( ( insert_a @ SV3 @ ( insert_a @ SV65 @ SV119 ) @ SV157 )
= $true )
| ( ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1616]) ).
thf(1694,plain,
! [SV157: x_a,SV119: x_a > $o,SV3: x_a,SV65: x_a] :
( ( ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 )
= $true )
| ( ( insert_a @ SV65 @ ( insert_a @ SV3 @ SV119 ) @ SV157 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1617]) ).
thf(1695,plain,
! [SV158: x_a,SV120: pname > $o,SV67: pname,SV6: pname > x_a] :
( ( ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 )
= $true )
| ( ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1618]) ).
thf(1696,plain,
! [SV158: x_a,SV120: pname > $o,SV67: pname,SV6: pname > x_a] :
( ( ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 )
= $true )
| ( ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1619]) ).
thf(1697,plain,
! [SV158: x_a,SV120: pname > $o,SV67: pname,SV6: pname > x_a] :
( ( ( image_pname_a @ SV6 @ ( insert_pname @ SV67 @ SV120 ) @ SV158 )
= $true )
| ( ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1620]) ).
thf(1698,plain,
! [SV158: x_a,SV120: pname > $o,SV67: pname,SV6: pname > x_a] :
( ( ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 )
= $true )
| ( ( insert_a @ ( SV6 @ SV67 ) @ ( image_pname_a @ SV6 @ SV120 ) @ SV158 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1621]) ).
thf(1699,plain,
! [SV181: x_a,SV11: x_a > $o] :
( ( ( SV11 @ SV181 )
= $false )
| ( ( ~ ( ~ ( SV11 @ SV181 )
| ~ ( bot_bot_a_o @ SV181 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1624]) ).
thf(1700,plain,
! [SV11: x_a > $o,SV181: x_a] :
( ( ( bot_bot_a_o @ SV181 )
= $false )
| ( ( ~ ( ~ ( SV11 @ SV181 )
| ~ ( bot_bot_a_o @ SV181 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1624]) ).
thf(1701,plain,
! [SV11: x_a > $o] :
( ( ( SV11 @ ( sK11_SV172 @ SV11 ) )
= $true )
| ( ( bot_bot_a_o @ ( sK11_SV172 @ SV11 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1625]) ).
thf(1702,plain,
! [SV11: x_a > $o] :
( ( ( ~ ( SV11 @ ( sK11_SV172 @ SV11 ) ) )
= $true )
| ( ( ~ ( bot_bot_a_o @ ( sK11_SV172 @ SV11 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1626]) ).
thf(1703,plain,
! [SV69: x_a > $o,SV182: x_a,SV12: x_a > $o] :
( ( ( SV12 @ SV182 )
= $false )
| ( ( ~ ( ~ ( SV12 @ SV182 )
| ~ ( SV69 @ SV182 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV69 @ SV12 )
= $false )
| ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1627]) ).
thf(1704,plain,
! [SV12: x_a > $o,SV182: x_a,SV69: x_a > $o] :
( ( ( SV69 @ SV182 )
= $false )
| ( ( ~ ( ~ ( SV12 @ SV182 )
| ~ ( SV69 @ SV182 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV69 @ SV12 )
= $false )
| ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1627]) ).
thf(1705,plain,
! [SV13: x_a > $o,SV122: x_a > $o,SV70: x_a > $o] :
( ( ( ( SV70 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) )
| ( SV13 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV13 @ SV122 )
= $true )
| ( ( ord_less_eq_a_o @ SV70 @ SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1628]) ).
thf(1706,plain,
! [SV13: x_a > $o,SV122: x_a > $o,SV70: x_a > $o] :
( ( ( ~ ( SV70 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) )
| ~ ( SV13 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV13 @ SV122 )
= $true )
| ( ( ord_less_eq_a_o @ SV70 @ SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1629]) ).
thf(1707,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 ) )
= $false )
| ( ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $true )
| ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1630]) ).
thf(1708,plain,
! [SV15: x_a > $o,SV72: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) )
= $false )
| ( ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $true )
| ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1630]) ).
thf(1709,plain,
! [SV15: x_a > $o,SV72: x_a > $o] :
( ( ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $false )
| ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 )
| ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1631]) ).
thf(1710,plain,
! [SV74: x_a > $o,SV124: x_a > $o,SV17: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV124 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV17 @ SV74 )
= $true )
| ( ( SV124 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
= $true )
| ( ( SV74 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1632]) ).
thf(1711,plain,
! [SV124: x_a > $o,SV17: x_a > $o,SV74: x_a > $o] :
( ( ( SV74 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
= $false )
| ( ( ~ ( SV124 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV124 )
| ( ord_less_eq_a_o @ SV17 @ SV74 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1633]) ).
thf(1712,plain,
! [SV79: x_a > $o,SV185: x_a,SV22: x_a > $o] :
( ( ( SV22 @ SV185 )
= $false )
| ( ( ~ ( ~ ( SV22 @ SV185 )
| ~ ( SV79 @ SV185 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV79 @ SV22 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1713,plain,
! [SV22: x_a > $o,SV185: x_a,SV79: x_a > $o] :
( ( ( SV79 @ SV185 )
= $false )
| ( ( ~ ( ~ ( SV22 @ SV185 )
| ~ ( SV79 @ SV185 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV79 @ SV22 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1714,plain,
! [SV24: x_a > $o,SV81: x_a > $o] :
( ( ( SV81 @ ( sK5_SV160 @ SV81 @ SV24 ) )
= $false )
| ( ( SV24 @ ( sK5_SV160 @ SV81 @ SV24 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV24 @ SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1635]) ).
thf(1715,plain,
! [SV26: x_a > $o,SV186: x_a,SV83: x_a > $o] :
( ( ( SV83 @ SV186 )
= $false )
| ( ( ~ ( ~ ( SV83 @ SV186 )
| ~ ( SV26 @ SV186 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV83 @ SV26 )
= $false )
| ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1637]) ).
thf(1716,plain,
! [SV83: x_a > $o,SV186: x_a,SV26: x_a > $o] :
( ( ( SV26 @ SV186 )
= $false )
| ( ( ~ ( ~ ( SV83 @ SV186 )
| ~ ( SV26 @ SV186 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV83 @ SV26 )
= $false )
| ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1637]) ).
thf(1717,plain,
! [SV28: x_a > $o,SV85: x_a > $o] :
( ( ( SV85 @ ( sK6_SV161 @ SV85 @ SV28 ) )
= $false )
| ( ( SV28 @ ( sK6_SV161 @ SV85 @ SV28 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV28 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1638]) ).
thf(1718,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
| ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1639]) ).
thf(1719,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ~ ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
| ~ ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1640]) ).
thf(1720,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 ) )
= $false )
| ( ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1641]) ).
thf(1721,plain,
! [SV29: x_a > $o,SV86: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) )
= $false )
| ( ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1641]) ).
thf(1722,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ! [SV199: x_a] :
( ( SV29 @ SV199 )
= ( SV86 @ SV199 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $false )
| ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1644]) ).
thf(1723,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( SV29 = SV86 )
= $true )
| ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $false )
| ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1644]) ).
thf(1724,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ( ( insert_a @ SV87 @ SV129 )
!= ( insert_a @ SV87 @ SV30 ) )
| ( SV129 = SV30 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1645]) ).
thf(1725,plain,
! [SV87: x_a,SV30: x_a > $o,SV129: x_a > $o] :
( ( ( ( SV129 != SV30 )
| ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1646]) ).
thf(1726,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
| ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1647]) ).
thf(1727,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ~ ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
| ~ ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1648]) ).
thf(1728,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 ) )
= $false )
| ( ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1649]) ).
thf(1729,plain,
! [SV32: x_a > $o,SV89: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) )
= $false )
| ( ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1649]) ).
thf(1730,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ! [SV200: x_a] :
( ( SV32 @ SV200 )
= ( SV89 @ SV200 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $false )
| ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1652]) ).
thf(1731,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( SV32 = SV89 )
= $true )
| ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $false )
| ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1652]) ).
thf(1732,plain,
! [SV34: x_a > $o,SV198: x_a,SV91: x_a > $o] :
( ( ( ~ ( ( SV91 @ SV198 )
| ( SV34 @ SV198 ) )
| ~ ( ~ ( SV91 @ SV198 )
| ~ ( SV34 @ SV198 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1653]) ).
thf(1733,plain,
! [SV34: x_a > $o,SV198: x_a,SV91: x_a > $o] :
( ( ( ( SV91 @ SV198 )
= ( SV34 @ SV198 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1653]) ).
thf(1734,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( ~ ( ( SV91 @ ( sK19_SV194 @ SV34 @ SV91 ) )
| ( SV34 @ ( sK19_SV194 @ SV34 @ SV91 ) ) )
| ~ ( ~ ( SV91 @ ( sK19_SV194 @ SV34 @ SV91 ) )
| ~ ( SV34 @ ( sK19_SV194 @ SV34 @ SV91 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $true )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1654]) ).
thf(1735,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( ( SV91 @ ( sK19_SV194 @ SV34 @ SV91 ) )
= ( SV34 @ ( sK19_SV194 @ SV34 @ SV91 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $true )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1654]) ).
thf(1736,plain,
! [SV132: x_a,SV153: x_a,SV93: x_a,SV36: x_a] :
( ( ( ~ ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
| ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
| ~ ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
| ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) ) )
= $false )
| ( ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1655]) ).
thf(1737,plain,
! [SV132: x_a,SV153: x_a,SV93: x_a,SV36: x_a] :
( ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $false )
| ( ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1655]) ).
thf(1738,plain,
! [SV153: x_a,SV93: x_a,SV132: x_a,SV36: x_a] :
( ( ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
= $false )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1656]) ).
thf(1739,plain,
! [SV153: x_a,SV93: x_a,SV132: x_a,SV36: x_a] :
( ( ( SV36 != SV132 )
= $true )
| ( ( SV93 != SV153 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1657]) ).
thf(1740,plain,
! [SV132: x_a,SV93: x_a,SV153: x_a,SV36: x_a] :
( ( ( SV36 != SV153 )
= $true )
| ( ( SV93 != SV132 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1658]) ).
thf(1741,plain,
! [SV39: x_a > $o,SV96: x_a > $o,SV135: x_a > $o] :
( ( ( ( SV135 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) )
| ( SV39 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV39 )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV135 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1659]) ).
thf(1742,plain,
! [SV39: x_a > $o,SV96: x_a > $o,SV135: x_a > $o] :
( ( ( ~ ( SV135 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) )
| ~ ( SV39 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV39 )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV135 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1660]) ).
thf(1743,plain,
! [SV43: x_a,SV100: x_a] :
( ( ( insert_a @ SV100 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) )
= $false )
| ( ( insert_a @ SV43 @ bot_bot_a_o @ ( sK7_SV162 @ SV100 @ SV43 ) )
= $false )
| ( ( SV43 = SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1662]) ).
thf(1744,plain,
! [SV102: x_a,SV176: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV176 )
| ~ ( bot_bot_a_o @ SV176 ) )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1663]) ).
thf(1745,plain,
! [SV102: x_a,SV176: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV176 )
| ~ ( bot_bot_a_o @ SV176 ) )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1664]) ).
thf(1746,plain,
! [SV176: x_a,SV102: x_a,SV196: x_a,SV45: x_a > $o] :
( ( ( ~ ( ( SV45 @ SV196 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV196 ) ) )
= $true )
| ( ( ~ ( ~ ( SV45 @ SV196 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV196 ) ) )
= $true )
| ( ( ( SV45 @ SV176 )
= ( bot_bot_a_o @ SV176 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1665]) ).
thf(1747,plain,
! [SV102: x_a,SV190: x_a,SV45: x_a > $o] :
( ( ( SV45 @ SV190 )
= $false )
| ( ( ~ ( ~ ( SV45 @ SV190 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV190 ) ) )
= $true )
| ( ( SV45 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1667]) ).
thf(1748,plain,
! [SV45: x_a > $o,SV190: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV190 )
= $false )
| ( ( ~ ( ~ ( SV45 @ SV190 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV190 ) ) )
= $true )
| ( ( SV45 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1667]) ).
thf(1749,plain,
! [SV47: x_a > $o,SV104: x_a > $o] :
( ( ( SV104 @ ( sK8_SV163 @ SV104 @ SV47 ) )
= $false )
| ( ( SV47 @ ( sK8_SV163 @ SV104 @ SV47 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV104 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1672]) ).
thf(1750,plain,
! [SV191: x_a,SV51: x_a > $o] :
( ( ( SV51 @ SV191 )
= $false )
| ( ( ~ ( ~ ( SV51 @ SV191 )
| ~ ( bot_bot_a_o @ SV191 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1673]) ).
thf(1751,plain,
! [SV51: x_a > $o,SV191: x_a] :
( ( ( bot_bot_a_o @ SV191 )
= $false )
| ( ( ~ ( ~ ( SV51 @ SV191 )
| ~ ( bot_bot_a_o @ SV191 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1673]) ).
thf(1752,plain,
! [SV51: x_a > $o] :
( ( ( SV51 @ ( sK13_SV179 @ SV51 ) )
= $true )
| ( ( bot_bot_a_o @ ( sK13_SV179 @ SV51 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1674]) ).
thf(1753,plain,
! [SV51: x_a > $o] :
( ( ( ~ ( SV51 @ ( sK13_SV179 @ SV51 ) ) )
= $true )
| ( ( ~ ( bot_bot_a_o @ ( sK13_SV179 @ SV51 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1675]) ).
thf(1754,plain,
! [SV108: x_a > $o,SV52: x_a > $o,SV141: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV52 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV108 @ SV52 )
= $true )
| ( ( SV141 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
= $true )
| ( ( SV108 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1676]) ).
thf(1755,plain,
! [SV141: x_a > $o,SV52: x_a > $o,SV108: x_a > $o] :
( ( ( SV108 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
= $false )
| ( ( ~ ( SV141 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV52 )
| ( ord_less_eq_a_o @ SV108 @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1677]) ).
thf(1756,plain,
! [SV143: pname > $o,SV54: x_a > $o,SV110: pname > x_a] :
( ( ( ~ ( ord_less_eq_pname_o @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV143 )
| ( SV54
!= ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1678]) ).
thf(1757,plain,
! [SV110: pname > x_a,SV54: x_a > $o,SV143: pname > $o,SV197: pname > $o] :
( ( ( ~ ( ord_less_eq_pname_o @ SV197 @ SV143 )
| ( SV54
!= ( image_pname_a @ SV110 @ SV197 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1679]) ).
thf(1758,plain,
! [SV56: x_a,SV145: x_a > $o,SV112: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV112 @ SV145 )
= $false )
| ( ( member_a @ SV56 @ SV145 )
= $false )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV56 @ SV112 ) @ SV145 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1682]) ).
thf(1759,plain,
! [SV164: x_a,SV57: x_a > $o] :
( ( ( SV57 @ SV164 )
= $true )
| ( ( SV57 @ SV164 )
= $false )
| ( ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1683]) ).
thf(1760,plain,
! [SV57: x_a > $o,SV164: x_a] :
( ( ( bot_bot_a_o @ SV164 )
= $true )
| ( ( SV57 @ SV164 )
= $false )
| ( ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1684]) ).
thf(1761,plain,
! [SV164: x_a,SV57: x_a > $o] :
( ( ( SV57 @ SV164 )
= $true )
| ( ( bot_bot_a_o @ SV164 )
= $false )
| ( ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1685]) ).
thf(1762,plain,
! [SV57: x_a > $o,SV164: x_a] :
( ( ( bot_bot_a_o @ SV164 )
= $true )
| ( ( bot_bot_a_o @ SV164 )
= $false )
| ( ( ord_less_eq_a_o @ SV57 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1686]) ).
thf(1763,plain,
! [SV169: x_a,SV113: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV113 @ SV169 ) )
= $false )
| ( ( insert_a @ SV58 @ SV113 @ SV169 )
= $false )
| ( ( member_a @ SV58 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1687]) ).
thf(1764,plain,
! [SV58: x_a,SV169: x_a,SV113: x_a > $o] :
( ( ( ~ ( SV113 @ SV169 ) )
= $false )
| ( ( insert_a @ SV58 @ SV113 @ SV169 )
= $false )
| ( ( member_a @ SV58 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1687]) ).
thf(1765,plain,
! [SV169: x_a,SV113: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV113 @ SV169 ) )
= $false )
| ( ( SV113 @ SV169 )
= $false )
| ( ( member_a @ SV58 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1688]) ).
thf(1766,plain,
! [SV58: x_a,SV169: x_a,SV113: x_a > $o] :
( ( ( ~ ( SV113 @ SV169 ) )
= $false )
| ( ( SV113 @ SV169 )
= $false )
| ( ( member_a @ SV58 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1688]) ).
thf(1767,plain,
! [SV180: x_a,SV147: pname > $o,SV115: pname,SV60: pname > x_a] :
( ( ( ~ ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 )
| ~ ( image_pname_a @ SV60 @ SV147 @ SV180 ) )
= $false )
| ( ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 )
= $false )
| ( ( member_pname @ SV115 @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1689]) ).
thf(1768,plain,
! [SV180: x_a,SV147: pname > $o,SV115: pname,SV60: pname > x_a] :
( ( ( ~ ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 )
| ~ ( image_pname_a @ SV60 @ SV147 @ SV180 ) )
= $false )
| ( ( image_pname_a @ SV60 @ SV147 @ SV180 )
= $false )
| ( ( member_pname @ SV115 @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1690]) ).
thf(1769,plain,
! [SV181: x_a,SV11: x_a > $o] :
( ( ( ~ ( SV11 @ SV181 )
| ~ ( bot_bot_a_o @ SV181 ) )
= $false )
| ( ( SV11 @ SV181 )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1699]) ).
thf(1770,plain,
! [SV181: x_a,SV11: x_a > $o] :
( ( ( ~ ( SV11 @ SV181 )
| ~ ( bot_bot_a_o @ SV181 ) )
= $false )
| ( ( bot_bot_a_o @ SV181 )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1700]) ).
thf(1771,plain,
! [SV11: x_a > $o] :
( ( ( SV11 @ ( sK11_SV172 @ SV11 ) )
= $false )
| ( ( ~ ( bot_bot_a_o @ ( sK11_SV172 @ SV11 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1702]) ).
thf(1772,plain,
! [SV69: x_a > $o,SV182: x_a,SV12: x_a > $o] :
( ( ( ~ ( SV12 @ SV182 )
| ~ ( SV69 @ SV182 ) )
= $false )
| ( ( SV12 @ SV182 )
= $false )
| ( ( ord_less_eq_a_o @ SV69 @ SV12 )
= $false )
| ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1703]) ).
thf(1773,plain,
! [SV69: x_a > $o,SV182: x_a,SV12: x_a > $o] :
( ( ( ~ ( SV12 @ SV182 )
| ~ ( SV69 @ SV182 ) )
= $false )
| ( ( SV69 @ SV182 )
= $false )
| ( ( ord_less_eq_a_o @ SV69 @ SV12 )
= $false )
| ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1704]) ).
thf(1774,plain,
! [SV13: x_a > $o,SV122: x_a > $o,SV70: x_a > $o] :
( ( ( SV70 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) )
= $true )
| ( ( SV13 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV13 @ SV122 )
= $true )
| ( ( ord_less_eq_a_o @ SV70 @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1705]) ).
thf(1775,plain,
! [SV13: x_a > $o,SV122: x_a > $o,SV70: x_a > $o] :
( ( ( ~ ( SV70 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) ) )
= $true )
| ( ( ~ ( SV13 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV13 @ SV122 )
= $true )
| ( ( ord_less_eq_a_o @ SV70 @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1706]) ).
thf(1776,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV15 @ SV72 )
= $true )
| ( ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $true )
| ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1707]) ).
thf(1777,plain,
! [SV15: x_a > $o,SV72: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV72 @ SV15 )
= $true )
| ( ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $true )
| ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1708]) ).
thf(1778,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 )
| ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) )
= $false )
| ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $false )
| ( ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1709]) ).
thf(1779,plain,
! [SV74: x_a > $o,SV124: x_a > $o,SV17: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV17 @ SV124 )
= $false )
| ( ( ord_less_eq_a_o @ SV17 @ SV74 )
= $true )
| ( ( SV124 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
= $true )
| ( ( SV74 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1710]) ).
thf(1780,plain,
! [SV74: x_a > $o,SV17: x_a > $o,SV124: x_a > $o] :
( ( ( SV124 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
= $false )
| ( ( SV74 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV124 )
| ( ord_less_eq_a_o @ SV17 @ SV74 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1711]) ).
thf(1781,plain,
! [SV79: x_a > $o,SV185: x_a,SV22: x_a > $o] :
( ( ( ~ ( SV22 @ SV185 )
| ~ ( SV79 @ SV185 ) )
= $false )
| ( ( SV22 @ SV185 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV22 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1712]) ).
thf(1782,plain,
! [SV79: x_a > $o,SV185: x_a,SV22: x_a > $o] :
( ( ( ~ ( SV22 @ SV185 )
| ~ ( SV79 @ SV185 ) )
= $false )
| ( ( SV79 @ SV185 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV22 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1713]) ).
thf(1783,plain,
! [SV26: x_a > $o,SV186: x_a,SV83: x_a > $o] :
( ( ( ~ ( SV83 @ SV186 )
| ~ ( SV26 @ SV186 ) )
= $false )
| ( ( SV83 @ SV186 )
= $false )
| ( ( ord_less_eq_a_o @ SV83 @ SV26 )
= $false )
| ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1715]) ).
thf(1784,plain,
! [SV26: x_a > $o,SV186: x_a,SV83: x_a > $o] :
( ( ( ~ ( SV83 @ SV186 )
| ~ ( SV26 @ SV186 ) )
= $false )
| ( ( SV26 @ SV186 )
= $false )
| ( ( ord_less_eq_a_o @ SV83 @ SV26 )
= $false )
| ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1716]) ).
thf(1785,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $true )
| ( ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1718]) ).
thf(1786,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ~ ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) ) )
= $true )
| ( ( ~ ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1719]) ).
thf(1787,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $true )
| ( ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1720]) ).
thf(1788,plain,
! [SV29: x_a > $o,SV86: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $true )
| ( ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1721]) ).
thf(1789,plain,
! [SV86: x_a > $o,SV201: x_a,SV29: x_a > $o] :
( ( ( ( SV29 @ SV201 )
= ( SV86 @ SV201 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $false )
| ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1722]) ).
thf(1790,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 )
!= ( insert_a @ SV87 @ SV30 ) )
= $true )
| ( ( SV129 = SV30 )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1724]) ).
thf(1791,plain,
! [SV87: x_a,SV30: x_a > $o,SV129: x_a > $o] :
( ( ( SV129 != SV30 )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1725]) ).
thf(1792,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $true )
| ( ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1726]) ).
thf(1793,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ~ ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) ) )
= $true )
| ( ( ~ ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1727]) ).
thf(1794,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $true )
| ( ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1728]) ).
thf(1795,plain,
! [SV32: x_a > $o,SV89: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $true )
| ( ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1729]) ).
thf(1796,plain,
! [SV89: x_a > $o,SV202: x_a,SV32: x_a > $o] :
( ( ( ( SV32 @ SV202 )
= ( SV89 @ SV202 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $false )
| ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1730]) ).
thf(1797,plain,
! [SV34: x_a > $o,SV198: x_a,SV91: x_a > $o] :
( ( ( ~ ( ( SV91 @ SV198 )
| ( SV34 @ SV198 ) ) )
= $true )
| ( ( ~ ( ~ ( SV91 @ SV198 )
| ~ ( SV34 @ SV198 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1732]) ).
thf(1798,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( ~ ( ( SV91 @ ( sK19_SV194 @ SV34 @ SV91 ) )
| ( SV34 @ ( sK19_SV194 @ SV34 @ SV91 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $true )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1734]) ).
thf(1799,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( ~ ( ~ ( SV91 @ ( sK19_SV194 @ SV34 @ SV91 ) )
| ~ ( SV34 @ ( sK19_SV194 @ SV34 @ SV91 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $true )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1734]) ).
thf(1800,plain,
! [SV132: x_a,SV153: x_a,SV93: x_a,SV36: x_a] :
( ( ( ~ ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
| ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) ) )
= $false )
| ( ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1736]) ).
thf(1801,plain,
! [SV132: x_a,SV153: x_a,SV93: x_a,SV36: x_a] :
( ( ( ~ ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
| ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) ) )
= $false )
| ( ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1736]) ).
thf(1802,plain,
! [SV153: x_a,SV93: x_a,SV132: x_a,SV36: x_a] :
( ( ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1737]) ).
thf(1803,plain,
! [SV93: x_a,SV153: x_a,SV132: x_a,SV36: x_a] :
( ( ( SV36 != SV132 )
= $false )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1738]) ).
thf(1804,plain,
! [SV132: x_a,SV36: x_a,SV153: x_a,SV93: x_a] :
( ( ( SV93 != SV153 )
= $false )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1738]) ).
thf(1805,plain,
! [SV153: x_a,SV93: x_a,SV132: x_a,SV36: x_a] :
( ( ( SV36 = SV132 )
= $false )
| ( ( SV93 != SV153 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1739]) ).
thf(1806,plain,
! [SV132: x_a,SV93: x_a,SV153: x_a,SV36: x_a] :
( ( ( SV36 = SV153 )
= $false )
| ( ( SV93 != SV132 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1740]) ).
thf(1807,plain,
! [SV39: x_a > $o,SV96: x_a > $o,SV135: x_a > $o] :
( ( ( SV135 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) )
= $true )
| ( ( SV39 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV39 )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV135 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1741]) ).
thf(1808,plain,
! [SV39: x_a > $o,SV96: x_a > $o,SV135: x_a > $o] :
( ( ( ~ ( SV135 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) ) )
= $true )
| ( ( ~ ( SV39 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV39 )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV135 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1742]) ).
thf(1809,plain,
! [SV102: x_a,SV176: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV176 ) )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1744]) ).
thf(1810,plain,
! [SV102: x_a,SV45: x_a > $o,SV176: x_a] :
( ( ( ~ ( bot_bot_a_o @ SV176 ) )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1744]) ).
thf(1811,plain,
! [SV102: x_a,SV176: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV176 ) )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1745]) ).
thf(1812,plain,
! [SV102: x_a,SV45: x_a > $o,SV176: x_a] :
( ( ( ~ ( bot_bot_a_o @ SV176 ) )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1745]) ).
thf(1813,plain,
! [SV176: x_a,SV102: x_a,SV196: x_a,SV45: x_a > $o] :
( ( ( ( SV45 @ SV196 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV196 ) )
= $false )
| ( ( ~ ( ~ ( SV45 @ SV196 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV196 ) ) )
= $true )
| ( ( ( SV45 @ SV176 )
= ( bot_bot_a_o @ SV176 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1746]) ).
thf(1814,plain,
! [SV102: x_a,SV190: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV190 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV190 ) )
= $false )
| ( ( SV45 @ SV190 )
= $false )
| ( ( SV45 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1747]) ).
thf(1815,plain,
! [SV102: x_a,SV190: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV190 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV190 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV190 )
= $false )
| ( ( SV45 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1748]) ).
thf(1816,plain,
! [SV191: x_a,SV51: x_a > $o] :
( ( ( ~ ( SV51 @ SV191 )
| ~ ( bot_bot_a_o @ SV191 ) )
= $false )
| ( ( SV51 @ SV191 )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1750]) ).
thf(1817,plain,
! [SV191: x_a,SV51: x_a > $o] :
( ( ( ~ ( SV51 @ SV191 )
| ~ ( bot_bot_a_o @ SV191 ) )
= $false )
| ( ( bot_bot_a_o @ SV191 )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1751]) ).
thf(1818,plain,
! [SV51: x_a > $o] :
( ( ( SV51 @ ( sK13_SV179 @ SV51 ) )
= $false )
| ( ( ~ ( bot_bot_a_o @ ( sK13_SV179 @ SV51 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1753]) ).
thf(1819,plain,
! [SV108: x_a > $o,SV52: x_a > $o,SV141: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV141 @ SV52 )
= $false )
| ( ( ord_less_eq_a_o @ SV108 @ SV52 )
= $true )
| ( ( SV141 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
= $true )
| ( ( SV108 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1754]) ).
thf(1820,plain,
! [SV108: x_a > $o,SV52: x_a > $o,SV141: x_a > $o] :
( ( ( SV141 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
= $false )
| ( ( SV108 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV52 )
| ( ord_less_eq_a_o @ SV108 @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1755]) ).
thf(1821,plain,
! [SV143: pname > $o,SV54: x_a > $o,SV110: pname > x_a] :
( ( ( ~ ( ord_less_eq_pname_o @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV143 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1756]) ).
thf(1822,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV54: x_a > $o] :
( ( ( SV54
!= ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1756]) ).
thf(1823,plain,
! [SV110: pname > x_a,SV54: x_a > $o,SV143: pname > $o,SV197: pname > $o] :
( ( ( ~ ( ord_less_eq_pname_o @ SV197 @ SV143 ) )
= $true )
| ( ( SV54
!= ( image_pname_a @ SV110 @ SV197 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1757]) ).
thf(1824,plain,
! [SV169: x_a,SV113: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV113 @ SV169 )
= $true )
| ( ( insert_a @ SV58 @ SV113 @ SV169 )
= $false )
| ( ( member_a @ SV58 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1763]) ).
thf(1825,plain,
! [SV58: x_a,SV169: x_a,SV113: x_a > $o] :
( ( ( SV113 @ SV169 )
= $true )
| ( ( insert_a @ SV58 @ SV113 @ SV169 )
= $false )
| ( ( member_a @ SV58 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1764]) ).
thf(1826,plain,
! [SV169: x_a,SV113: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV113 @ SV169 )
= $true )
| ( ( SV113 @ SV169 )
= $false )
| ( ( member_a @ SV58 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1765]) ).
thf(1827,plain,
! [SV58: x_a,SV169: x_a,SV113: x_a > $o] :
( ( ( SV113 @ SV169 )
= $true )
| ( ( SV113 @ SV169 )
= $false )
| ( ( member_a @ SV58 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1766]) ).
thf(1828,plain,
! [SV180: x_a,SV147: pname > $o,SV115: pname,SV60: pname > x_a] :
( ( ( ~ ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 ) )
= $false )
| ( ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 )
= $false )
| ( ( member_pname @ SV115 @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1767]) ).
thf(1829,plain,
! [SV115: pname,SV180: x_a,SV147: pname > $o,SV60: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV60 @ SV147 @ SV180 ) )
= $false )
| ( ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 )
= $false )
| ( ( member_pname @ SV115 @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1767]) ).
thf(1830,plain,
! [SV180: x_a,SV147: pname > $o,SV115: pname,SV60: pname > x_a] :
( ( ( ~ ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 ) )
= $false )
| ( ( image_pname_a @ SV60 @ SV147 @ SV180 )
= $false )
| ( ( member_pname @ SV115 @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1768]) ).
thf(1831,plain,
! [SV115: pname,SV180: x_a,SV147: pname > $o,SV60: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV60 @ SV147 @ SV180 ) )
= $false )
| ( ( image_pname_a @ SV60 @ SV147 @ SV180 )
= $false )
| ( ( member_pname @ SV115 @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1768]) ).
thf(1832,plain,
! [SV181: x_a,SV11: x_a > $o] :
( ( ( ~ ( SV11 @ SV181 ) )
= $false )
| ( ( SV11 @ SV181 )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1769]) ).
thf(1833,plain,
! [SV11: x_a > $o,SV181: x_a] :
( ( ( ~ ( bot_bot_a_o @ SV181 ) )
= $false )
| ( ( SV11 @ SV181 )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1769]) ).
thf(1834,plain,
! [SV181: x_a,SV11: x_a > $o] :
( ( ( ~ ( SV11 @ SV181 ) )
= $false )
| ( ( bot_bot_a_o @ SV181 )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1770]) ).
thf(1835,plain,
! [SV11: x_a > $o,SV181: x_a] :
( ( ( ~ ( bot_bot_a_o @ SV181 ) )
= $false )
| ( ( bot_bot_a_o @ SV181 )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1770]) ).
thf(1836,plain,
! [SV11: x_a > $o] :
( ( ( bot_bot_a_o @ ( sK11_SV172 @ SV11 ) )
= $false )
| ( ( SV11 @ ( sK11_SV172 @ SV11 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1771]) ).
thf(1837,plain,
! [SV69: x_a > $o,SV182: x_a,SV12: x_a > $o] :
( ( ( ~ ( SV12 @ SV182 ) )
= $false )
| ( ( SV12 @ SV182 )
= $false )
| ( ( ord_less_eq_a_o @ SV69 @ SV12 )
= $false )
| ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1772]) ).
thf(1838,plain,
! [SV12: x_a > $o,SV182: x_a,SV69: x_a > $o] :
( ( ( ~ ( SV69 @ SV182 ) )
= $false )
| ( ( SV12 @ SV182 )
= $false )
| ( ( ord_less_eq_a_o @ SV69 @ SV12 )
= $false )
| ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1772]) ).
thf(1839,plain,
! [SV69: x_a > $o,SV182: x_a,SV12: x_a > $o] :
( ( ( ~ ( SV12 @ SV182 ) )
= $false )
| ( ( SV69 @ SV182 )
= $false )
| ( ( ord_less_eq_a_o @ SV69 @ SV12 )
= $false )
| ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1773]) ).
thf(1840,plain,
! [SV12: x_a > $o,SV182: x_a,SV69: x_a > $o] :
( ( ( ~ ( SV69 @ SV182 ) )
= $false )
| ( ( SV69 @ SV182 )
= $false )
| ( ( ord_less_eq_a_o @ SV69 @ SV12 )
= $false )
| ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1773]) ).
thf(1841,plain,
! [SV13: x_a > $o,SV122: x_a > $o,SV70: x_a > $o] :
( ( ( SV70 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) )
= $false )
| ( ( ~ ( SV13 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV13 @ SV122 )
= $true )
| ( ( ord_less_eq_a_o @ SV70 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1775]) ).
thf(1842,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV15 @ SV72 ) )
= $false )
| ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $false )
| ( ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1778]) ).
thf(1843,plain,
! [SV15: x_a > $o,SV72: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV72 @ SV15 ) )
= $false )
| ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $false )
| ( ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1778]) ).
thf(1844,plain,
! [SV74: x_a > $o,SV124: x_a > $o,SV17: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV17 @ SV124 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV17 @ SV74 )
= $true )
| ( ( SV74 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
= $false )
| ( ( SV124 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1780]) ).
thf(1845,plain,
! [SV79: x_a > $o,SV185: x_a,SV22: x_a > $o] :
( ( ( ~ ( SV22 @ SV185 ) )
= $false )
| ( ( SV22 @ SV185 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV22 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1781]) ).
thf(1846,plain,
! [SV22: x_a > $o,SV185: x_a,SV79: x_a > $o] :
( ( ( ~ ( SV79 @ SV185 ) )
= $false )
| ( ( SV22 @ SV185 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV22 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1781]) ).
thf(1847,plain,
! [SV79: x_a > $o,SV185: x_a,SV22: x_a > $o] :
( ( ( ~ ( SV22 @ SV185 ) )
= $false )
| ( ( SV79 @ SV185 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV22 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1782]) ).
thf(1848,plain,
! [SV22: x_a > $o,SV185: x_a,SV79: x_a > $o] :
( ( ( ~ ( SV79 @ SV185 ) )
= $false )
| ( ( SV79 @ SV185 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV22 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1782]) ).
thf(1849,plain,
! [SV26: x_a > $o,SV186: x_a,SV83: x_a > $o] :
( ( ( ~ ( SV83 @ SV186 ) )
= $false )
| ( ( SV83 @ SV186 )
= $false )
| ( ( ord_less_eq_a_o @ SV83 @ SV26 )
= $false )
| ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1783]) ).
thf(1850,plain,
! [SV83: x_a > $o,SV186: x_a,SV26: x_a > $o] :
( ( ( ~ ( SV26 @ SV186 ) )
= $false )
| ( ( SV83 @ SV186 )
= $false )
| ( ( ord_less_eq_a_o @ SV83 @ SV26 )
= $false )
| ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1783]) ).
thf(1851,plain,
! [SV26: x_a > $o,SV186: x_a,SV83: x_a > $o] :
( ( ( ~ ( SV83 @ SV186 ) )
= $false )
| ( ( SV26 @ SV186 )
= $false )
| ( ( ord_less_eq_a_o @ SV83 @ SV26 )
= $false )
| ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1784]) ).
thf(1852,plain,
! [SV83: x_a > $o,SV186: x_a,SV26: x_a > $o] :
( ( ( ~ ( SV26 @ SV186 ) )
= $false )
| ( ( SV26 @ SV186 )
= $false )
| ( ( ord_less_eq_a_o @ SV83 @ SV26 )
= $false )
| ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1784]) ).
thf(1853,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) )
= $false )
| ( ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1785]) ).
thf(1854,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $false )
| ( ( ~ ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1786]) ).
thf(1855,plain,
! [SV86: x_a > $o,SV201: x_a,SV29: x_a > $o] :
( ( ( ~ ( ( SV29 @ SV201 )
| ( SV86 @ SV201 ) )
| ~ ( ~ ( SV29 @ SV201 )
| ~ ( SV86 @ SV201 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $false )
| ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1789]) ).
thf(1856,plain,
! [SV86: x_a > $o,SV201: x_a,SV29: x_a > $o] :
( ( ( ( SV29 @ SV201 )
= ( SV86 @ SV201 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $false )
| ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1789]) ).
thf(1857,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $false )
| ( ( SV129 = SV30 )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1790]) ).
thf(1858,plain,
! [SV87: x_a,SV30: x_a > $o,SV129: x_a > $o] :
( ( ( SV129 = SV30 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1791]) ).
thf(1859,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) )
= $false )
| ( ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $true )
| ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1792]) ).
thf(1860,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $false )
| ( ( ~ ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1793]) ).
thf(1861,plain,
! [SV89: x_a > $o,SV202: x_a,SV32: x_a > $o] :
( ( ( ~ ( ( SV32 @ SV202 )
| ( SV89 @ SV202 ) )
| ~ ( ~ ( SV32 @ SV202 )
| ~ ( SV89 @ SV202 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $false )
| ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1796]) ).
thf(1862,plain,
! [SV89: x_a > $o,SV202: x_a,SV32: x_a > $o] :
( ( ( ( SV32 @ SV202 )
= ( SV89 @ SV202 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $false )
| ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1796]) ).
thf(1863,plain,
! [SV34: x_a > $o,SV198: x_a,SV91: x_a > $o] :
( ( ( ( SV91 @ SV198 )
| ( SV34 @ SV198 ) )
= $false )
| ( ( ~ ( ~ ( SV91 @ SV198 )
| ~ ( SV34 @ SV198 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1797]) ).
thf(1864,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( ( SV91 @ ( sK19_SV194 @ SV34 @ SV91 ) )
| ( SV34 @ ( sK19_SV194 @ SV34 @ SV91 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $true )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1798]) ).
thf(1865,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( ~ ( SV91 @ ( sK19_SV194 @ SV34 @ SV91 ) )
| ~ ( SV34 @ ( sK19_SV194 @ SV34 @ SV91 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $true )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1799]) ).
thf(1866,plain,
! [SV132: x_a,SV153: x_a,SV93: x_a,SV36: x_a] :
( ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
| ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1800]) ).
thf(1867,plain,
! [SV132: x_a,SV153: x_a,SV93: x_a,SV36: x_a] :
( ( ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
| ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1801]) ).
thf(1868,plain,
! [SV153: x_a,SV93: x_a,SV132: x_a,SV36: x_a] :
( ( ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
= $false )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1802]) ).
thf(1869,plain,
! [SV93: x_a,SV153: x_a,SV132: x_a,SV36: x_a] :
( ( ( SV36 = SV132 )
= $true )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1803]) ).
thf(1870,plain,
! [SV132: x_a,SV36: x_a,SV153: x_a,SV93: x_a] :
( ( ( SV93 = SV153 )
= $true )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1804]) ).
thf(1871,plain,
! [SV132: x_a,SV36: x_a,SV153: x_a,SV93: x_a] :
( ( ( SV93 = SV153 )
= $false )
| ( ( SV36 = SV132 )
= $false )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1805]) ).
thf(1872,plain,
! [SV153: x_a,SV36: x_a,SV132: x_a,SV93: x_a] :
( ( ( SV93 = SV132 )
= $false )
| ( ( SV36 = SV153 )
= $false )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1806]) ).
thf(1873,plain,
! [SV39: x_a > $o,SV96: x_a > $o,SV135: x_a > $o] :
( ( ( SV135 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) )
= $false )
| ( ( ~ ( SV39 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV39 )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV135 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1808]) ).
thf(1874,plain,
! [SV102: x_a,SV176: x_a,SV45: x_a > $o] :
( ( ( SV45 @ SV176 )
= $true )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1809]) ).
thf(1875,plain,
! [SV102: x_a,SV45: x_a > $o,SV176: x_a] :
( ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1810]) ).
thf(1876,plain,
! [SV102: x_a,SV176: x_a,SV45: x_a > $o] :
( ( ( SV45 @ SV176 )
= $true )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1811]) ).
thf(1877,plain,
! [SV102: x_a,SV45: x_a > $o,SV176: x_a] :
( ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1812]) ).
thf(1878,plain,
! [SV176: x_a,SV102: x_a,SV196: x_a,SV45: x_a > $o] :
( ( ( SV45 @ SV196 )
= $false )
| ( ( ~ ( ~ ( SV45 @ SV196 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV196 ) ) )
= $true )
| ( ( ( SV45 @ SV176 )
= ( bot_bot_a_o @ SV176 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1813]) ).
thf(1879,plain,
! [SV176: x_a,SV45: x_a > $o,SV196: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV196 )
= $false )
| ( ( ~ ( ~ ( SV45 @ SV196 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV196 ) ) )
= $true )
| ( ( ( SV45 @ SV176 )
= ( bot_bot_a_o @ SV176 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1813]) ).
thf(1880,plain,
! [SV102: x_a,SV190: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV190 ) )
= $false )
| ( ( SV45 @ SV190 )
= $false )
| ( ( SV45 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1814]) ).
thf(1881,plain,
! [SV45: x_a > $o,SV190: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV190 ) )
= $false )
| ( ( SV45 @ SV190 )
= $false )
| ( ( SV45 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1814]) ).
thf(1882,plain,
! [SV102: x_a,SV190: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV190 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV190 )
= $false )
| ( ( SV45 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1815]) ).
thf(1883,plain,
! [SV45: x_a > $o,SV190: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV190 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV190 )
= $false )
| ( ( SV45 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1815]) ).
thf(1884,plain,
! [SV191: x_a,SV51: x_a > $o] :
( ( ( ~ ( SV51 @ SV191 ) )
= $false )
| ( ( SV51 @ SV191 )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1816]) ).
thf(1885,plain,
! [SV51: x_a > $o,SV191: x_a] :
( ( ( ~ ( bot_bot_a_o @ SV191 ) )
= $false )
| ( ( SV51 @ SV191 )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1816]) ).
thf(1886,plain,
! [SV191: x_a,SV51: x_a > $o] :
( ( ( ~ ( SV51 @ SV191 ) )
= $false )
| ( ( bot_bot_a_o @ SV191 )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1817]) ).
thf(1887,plain,
! [SV51: x_a > $o,SV191: x_a] :
( ( ( ~ ( bot_bot_a_o @ SV191 ) )
= $false )
| ( ( bot_bot_a_o @ SV191 )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1817]) ).
thf(1888,plain,
! [SV51: x_a > $o] :
( ( ( bot_bot_a_o @ ( sK13_SV179 @ SV51 ) )
= $false )
| ( ( SV51 @ ( sK13_SV179 @ SV51 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1818]) ).
thf(1889,plain,
! [SV108: x_a > $o,SV52: x_a > $o,SV141: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV141 @ SV52 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV108 @ SV52 )
= $true )
| ( ( SV108 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
= $false )
| ( ( SV141 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1820]) ).
thf(1890,plain,
! [SV143: pname > $o,SV54: x_a > $o,SV110: pname > x_a] :
( ( ( ord_less_eq_pname_o @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV143 )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1821]) ).
thf(1891,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV54: x_a > $o] :
( ( ( SV54
= ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1822]) ).
thf(1892,plain,
! [SV110: pname > x_a,SV54: x_a > $o,SV143: pname > $o,SV197: pname > $o] :
( ( ( ord_less_eq_pname_o @ SV197 @ SV143 )
= $false )
| ( ( SV54
!= ( image_pname_a @ SV110 @ SV197 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1823]) ).
thf(1893,plain,
! [SV180: x_a,SV147: pname > $o,SV115: pname,SV60: pname > x_a] :
( ( ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 )
= $true )
| ( ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 )
= $false )
| ( ( member_pname @ SV115 @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1828]) ).
thf(1894,plain,
! [SV115: pname,SV180: x_a,SV147: pname > $o,SV60: pname > x_a] :
( ( ( image_pname_a @ SV60 @ SV147 @ SV180 )
= $true )
| ( ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 )
= $false )
| ( ( member_pname @ SV115 @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1829]) ).
thf(1895,plain,
! [SV180: x_a,SV147: pname > $o,SV115: pname,SV60: pname > x_a] :
( ( ( insert_a @ ( SV60 @ SV115 ) @ ( image_pname_a @ SV60 @ SV147 ) @ SV180 )
= $true )
| ( ( image_pname_a @ SV60 @ SV147 @ SV180 )
= $false )
| ( ( member_pname @ SV115 @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1830]) ).
thf(1896,plain,
! [SV115: pname,SV180: x_a,SV147: pname > $o,SV60: pname > x_a] :
( ( ( image_pname_a @ SV60 @ SV147 @ SV180 )
= $true )
| ( ( image_pname_a @ SV60 @ SV147 @ SV180 )
= $false )
| ( ( member_pname @ SV115 @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1831]) ).
thf(1897,plain,
! [SV181: x_a,SV11: x_a > $o] :
( ( ( SV11 @ SV181 )
= $true )
| ( ( SV11 @ SV181 )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1832]) ).
thf(1898,plain,
! [SV11: x_a > $o,SV181: x_a] :
( ( ( bot_bot_a_o @ SV181 )
= $true )
| ( ( SV11 @ SV181 )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1833]) ).
thf(1899,plain,
! [SV181: x_a,SV11: x_a > $o] :
( ( ( SV11 @ SV181 )
= $true )
| ( ( bot_bot_a_o @ SV181 )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1834]) ).
thf(1900,plain,
! [SV11: x_a > $o,SV181: x_a] :
( ( ( bot_bot_a_o @ SV181 )
= $true )
| ( ( bot_bot_a_o @ SV181 )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1835]) ).
thf(1901,plain,
! [SV69: x_a > $o,SV182: x_a,SV12: x_a > $o] :
( ( ( SV12 @ SV182 )
= $true )
| ( ( SV12 @ SV182 )
= $false )
| ( ( ord_less_eq_a_o @ SV69 @ SV12 )
= $false )
| ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1837]) ).
thf(1902,plain,
! [SV12: x_a > $o,SV182: x_a,SV69: x_a > $o] :
( ( ( SV69 @ SV182 )
= $true )
| ( ( SV12 @ SV182 )
= $false )
| ( ( ord_less_eq_a_o @ SV69 @ SV12 )
= $false )
| ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1838]) ).
thf(1903,plain,
! [SV69: x_a > $o,SV182: x_a,SV12: x_a > $o] :
( ( ( SV12 @ SV182 )
= $true )
| ( ( SV69 @ SV182 )
= $false )
| ( ( ord_less_eq_a_o @ SV69 @ SV12 )
= $false )
| ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1839]) ).
thf(1904,plain,
! [SV12: x_a > $o,SV182: x_a,SV69: x_a > $o] :
( ( ( SV69 @ SV182 )
= $true )
| ( ( SV69 @ SV182 )
= $false )
| ( ( ord_less_eq_a_o @ SV69 @ SV12 )
= $false )
| ( ( ord_less_eq_a_o @ SV12 @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1840]) ).
thf(1905,plain,
! [SV70: x_a > $o,SV122: x_a > $o,SV13: x_a > $o] :
( ( ( SV13 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) )
= $false )
| ( ( SV70 @ ( sK14_SV183 @ SV122 @ SV13 @ SV70 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV13 @ SV122 )
= $true )
| ( ( ord_less_eq_a_o @ SV70 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1841]) ).
thf(1906,plain,
! [SV72: x_a > $o,SV15: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV15 @ SV72 )
= $true )
| ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $false )
| ( ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1842]) ).
thf(1907,plain,
! [SV15: x_a > $o,SV72: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV72 @ SV15 )
= $true )
| ( ( SV15 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $false )
| ( ( SV72 @ ( sK4_SV159 @ SV72 @ SV15 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1843]) ).
thf(1908,plain,
! [SV74: x_a > $o,SV124: x_a > $o,SV17: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV17 @ SV124 )
= $false )
| ( ( ord_less_eq_a_o @ SV17 @ SV74 )
= $true )
| ( ( SV74 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
= $false )
| ( ( SV124 @ ( sK9_SV166 @ SV17 @ SV124 @ SV74 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1844]) ).
thf(1909,plain,
! [SV79: x_a > $o,SV185: x_a,SV22: x_a > $o] :
( ( ( SV22 @ SV185 )
= $true )
| ( ( SV22 @ SV185 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV22 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1845]) ).
thf(1910,plain,
! [SV22: x_a > $o,SV185: x_a,SV79: x_a > $o] :
( ( ( SV79 @ SV185 )
= $true )
| ( ( SV22 @ SV185 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV22 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1846]) ).
thf(1911,plain,
! [SV79: x_a > $o,SV185: x_a,SV22: x_a > $o] :
( ( ( SV22 @ SV185 )
= $true )
| ( ( SV79 @ SV185 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV22 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1847]) ).
thf(1912,plain,
! [SV22: x_a > $o,SV185: x_a,SV79: x_a > $o] :
( ( ( SV79 @ SV185 )
= $true )
| ( ( SV79 @ SV185 )
= $false )
| ( ( ord_less_eq_a_o @ SV79 @ SV22 )
= $false )
| ( ( ord_less_eq_a_o @ SV22 @ SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1848]) ).
thf(1913,plain,
! [SV26: x_a > $o,SV186: x_a,SV83: x_a > $o] :
( ( ( SV83 @ SV186 )
= $true )
| ( ( SV83 @ SV186 )
= $false )
| ( ( ord_less_eq_a_o @ SV83 @ SV26 )
= $false )
| ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1849]) ).
thf(1914,plain,
! [SV83: x_a > $o,SV186: x_a,SV26: x_a > $o] :
( ( ( SV26 @ SV186 )
= $true )
| ( ( SV83 @ SV186 )
= $false )
| ( ( ord_less_eq_a_o @ SV83 @ SV26 )
= $false )
| ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1850]) ).
thf(1915,plain,
! [SV26: x_a > $o,SV186: x_a,SV83: x_a > $o] :
( ( ( SV83 @ SV186 )
= $true )
| ( ( SV26 @ SV186 )
= $false )
| ( ( ord_less_eq_a_o @ SV83 @ SV26 )
= $false )
| ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1851]) ).
thf(1916,plain,
! [SV83: x_a > $o,SV186: x_a,SV26: x_a > $o] :
( ( ( SV26 @ SV186 )
= $true )
| ( ( SV26 @ SV186 )
= $false )
| ( ( ord_less_eq_a_o @ SV83 @ SV26 )
= $false )
| ( ( ord_less_eq_a_o @ SV26 @ SV83 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1852]) ).
thf(1917,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 ) )
= $false )
| ( ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1853]) ).
thf(1918,plain,
! [SV29: x_a > $o,SV86: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) )
= $false )
| ( ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1853]) ).
thf(1919,plain,
! [SV29: x_a > $o,SV86: x_a > $o] :
( ( ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $false )
| ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1854]) ).
thf(1920,plain,
! [SV86: x_a > $o,SV201: x_a,SV29: x_a > $o] :
( ( ( ~ ( ( SV29 @ SV201 )
| ( SV86 @ SV201 ) ) )
= $true )
| ( ( ~ ( ~ ( SV29 @ SV201 )
| ~ ( SV86 @ SV201 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $false )
| ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1855]) ).
thf(1921,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ! [SV203: x_a] :
( ( insert_a @ SV87 @ SV129 @ SV203 )
= ( insert_a @ SV87 @ SV30 @ SV203 ) ) )
= $false )
| ( ( SV129 = SV30 )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1857]) ).
thf(1922,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $false )
| ( ( SV129 = SV30 )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1857]) ).
thf(1923,plain,
! [SV87: x_a,SV30: x_a > $o,SV129: x_a > $o] :
( ( ( ! [SV204: x_a] :
( ( SV129 @ SV204 )
= ( SV30 @ SV204 ) ) )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1858]) ).
thf(1924,plain,
! [SV87: x_a,SV30: x_a > $o,SV129: x_a > $o] :
( ( ( SV129 = SV30 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1858]) ).
thf(1925,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 ) )
= $false )
| ( ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $true )
| ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1859]) ).
thf(1926,plain,
! [SV32: x_a > $o,SV89: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) )
= $false )
| ( ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $true )
| ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1859]) ).
thf(1927,plain,
! [SV32: x_a > $o,SV89: x_a > $o] :
( ( ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $false )
| ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1860]) ).
thf(1928,plain,
! [SV89: x_a > $o,SV202: x_a,SV32: x_a > $o] :
( ( ( ~ ( ( SV32 @ SV202 )
| ( SV89 @ SV202 ) ) )
= $true )
| ( ( ~ ( ~ ( SV32 @ SV202 )
| ~ ( SV89 @ SV202 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $false )
| ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1861]) ).
thf(1929,plain,
! [SV34: x_a > $o,SV198: x_a,SV91: x_a > $o] :
( ( ( SV91 @ SV198 )
= $false )
| ( ( ~ ( ~ ( SV91 @ SV198 )
| ~ ( SV34 @ SV198 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1863]) ).
thf(1930,plain,
! [SV91: x_a > $o,SV198: x_a,SV34: x_a > $o] :
( ( ( SV34 @ SV198 )
= $false )
| ( ( ~ ( ~ ( SV91 @ SV198 )
| ~ ( SV34 @ SV198 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1863]) ).
thf(1931,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( SV91 @ ( sK19_SV194 @ SV34 @ SV91 ) )
= $true )
| ( ( SV34 @ ( sK19_SV194 @ SV34 @ SV91 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $true )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1864]) ).
thf(1932,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( ~ ( SV91 @ ( sK19_SV194 @ SV34 @ SV91 ) ) )
= $true )
| ( ( ~ ( SV34 @ ( sK19_SV194 @ SV34 @ SV91 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $true )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1865]) ).
thf(1933,plain,
! [SV132: x_a,SV153: x_a,SV93: x_a,SV36: x_a] :
( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true )
| ( ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1866]) ).
thf(1934,plain,
! [SV132: x_a,SV153: x_a,SV93: x_a,SV36: x_a] :
( ( ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $true )
| ( ( ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1867]) ).
thf(1935,plain,
! [SV93: x_a,SV153: x_a,SV132: x_a,SV36: x_a] :
( ( ( SV36 != SV132 )
= $false )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1868]) ).
thf(1936,plain,
! [SV132: x_a,SV36: x_a,SV153: x_a,SV93: x_a] :
( ( ( SV93 != SV153 )
= $false )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1868]) ).
thf(1937,plain,
! [SV132: x_a,SV93: x_a,SV153: x_a,SV36: x_a] :
( ( ( ( SV36 != SV153 )
| ( SV93 != SV132 ) )
= $false )
| ( ( SV36 = SV132 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1869]) ).
thf(1938,plain,
! [SV132: x_a,SV93: x_a,SV153: x_a,SV36: x_a] :
( ( ( ( SV36 != SV153 )
| ( SV93 != SV132 ) )
= $false )
| ( ( SV93 = SV153 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1870]) ).
thf(1939,plain,
! [SV153: x_a,SV132: x_a,SV93: x_a,SV36: x_a] :
( ( ( ! [SV205: x_a] :
( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV205 )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV205 ) ) )
= $true )
| ( ( SV36 = SV132 )
= $false )
| ( ( SV93 = SV153 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1871]) ).
thf(1940,plain,
! [SV153: x_a,SV132: x_a,SV93: x_a,SV36: x_a] :
( ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $true )
| ( ( SV36 = SV132 )
= $false )
| ( ( SV93 = SV153 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1871]) ).
thf(1941,plain,
! [SV153: x_a,SV132: x_a,SV93: x_a,SV36: x_a] :
( ( ( ! [SV206: x_a] :
( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV206 )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV206 ) ) )
= $true )
| ( ( SV36 = SV153 )
= $false )
| ( ( SV93 = SV132 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1872]) ).
thf(1942,plain,
! [SV153: x_a,SV132: x_a,SV93: x_a,SV36: x_a] :
( ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $true )
| ( ( SV36 = SV153 )
= $false )
| ( ( SV93 = SV132 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1872]) ).
thf(1943,plain,
! [SV135: x_a > $o,SV96: x_a > $o,SV39: x_a > $o] :
( ( ( SV39 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) )
= $false )
| ( ( SV135 @ ( sK17_SV189 @ SV96 @ SV39 @ SV135 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV96 @ SV39 )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV135 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1873]) ).
thf(1944,plain,
! [SV176: x_a,SV102: x_a,SV45: x_a > $o] :
( ( ( ! [SV207: x_a] :
( ( SV45 @ SV207 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV207 ) ) )
= $true )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1874]) ).
thf(1945,plain,
! [SV176: x_a,SV102: x_a,SV45: x_a > $o] :
( ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1874]) ).
thf(1946,plain,
! [SV176: x_a,SV102: x_a,SV45: x_a > $o] :
( ( ( ! [SV208: x_a] :
( ( SV45 @ SV208 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV208 ) ) )
= $true )
| ( ( SV45 @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1875]) ).
thf(1947,plain,
! [SV176: x_a,SV102: x_a,SV45: x_a > $o] :
( ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( SV45 @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1875]) ).
thf(1948,plain,
! [SV176: x_a,SV102: x_a,SV45: x_a > $o] :
( ( ( ! [SV209: x_a] :
( ( SV45 @ SV209 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV209 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1876]) ).
thf(1949,plain,
! [SV176: x_a,SV102: x_a,SV45: x_a > $o] :
( ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1876]) ).
thf(1950,plain,
! [SV176: x_a,SV102: x_a,SV45: x_a > $o] :
( ( ( ! [SV210: x_a] :
( ( SV45 @ SV210 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV210 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1877]) ).
thf(1951,plain,
! [SV176: x_a,SV102: x_a,SV45: x_a > $o] :
( ( ( SV45
= ( insert_a @ SV102 @ bot_bot_a_o ) )
= $true )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1877]) ).
thf(1952,plain,
! [SV176: x_a,SV102: x_a,SV196: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV196 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV196 ) )
= $false )
| ( ( SV45 @ SV196 )
= $false )
| ( ( ( SV45 @ SV176 )
= ( bot_bot_a_o @ SV176 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1878]) ).
thf(1953,plain,
! [SV176: x_a,SV102: x_a,SV196: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV196 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV196 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV196 )
= $false )
| ( ( ( SV45 @ SV176 )
= ( bot_bot_a_o @ SV176 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1879]) ).
thf(1954,plain,
! [SV102: x_a,SV190: x_a,SV45: x_a > $o] :
( ( ( SV45 @ SV190 )
= $true )
| ( ( SV45 @ SV190 )
= $false )
| ( ( SV45 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1880]) ).
thf(1955,plain,
! [SV45: x_a > $o,SV190: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV190 )
= $true )
| ( ( SV45 @ SV190 )
= $false )
| ( ( SV45 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1881]) ).
thf(1956,plain,
! [SV102: x_a,SV190: x_a,SV45: x_a > $o] :
( ( ( SV45 @ SV190 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV190 )
= $false )
| ( ( SV45 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1882]) ).
thf(1957,plain,
! [SV45: x_a > $o,SV190: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV190 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV190 )
= $false )
| ( ( SV45 = bot_bot_a_o )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1883]) ).
thf(1958,plain,
! [SV191: x_a,SV51: x_a > $o] :
( ( ( SV51 @ SV191 )
= $true )
| ( ( SV51 @ SV191 )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1884]) ).
thf(1959,plain,
! [SV51: x_a > $o,SV191: x_a] :
( ( ( bot_bot_a_o @ SV191 )
= $true )
| ( ( SV51 @ SV191 )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1885]) ).
thf(1960,plain,
! [SV191: x_a,SV51: x_a > $o] :
( ( ( SV51 @ SV191 )
= $true )
| ( ( bot_bot_a_o @ SV191 )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1886]) ).
thf(1961,plain,
! [SV51: x_a > $o,SV191: x_a] :
( ( ( bot_bot_a_o @ SV191 )
= $true )
| ( ( bot_bot_a_o @ SV191 )
= $false )
| ( ( ord_less_eq_a_o @ SV51 @ bot_bot_a_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1887]) ).
thf(1962,plain,
! [SV108: x_a > $o,SV52: x_a > $o,SV141: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV141 @ SV52 )
= $false )
| ( ( ord_less_eq_a_o @ SV108 @ SV52 )
= $true )
| ( ( SV108 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
= $false )
| ( ( SV141 @ ( sK10_SV168 @ SV52 @ SV141 @ SV108 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1889]) ).
thf(1963,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV54: x_a > $o] :
( ( ( ! [SV211: x_a] :
( ( SV54 @ SV211 )
= ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV211 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1891]) ).
thf(1964,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV54: x_a > $o] :
( ( ( SV54
= ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1891]) ).
thf(1965,plain,
! [SV143: pname > $o,SV197: pname > $o,SV110: pname > x_a,SV54: x_a > $o] :
( ( ( SV54
= ( image_pname_a @ SV110 @ SV197 ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV197 @ SV143 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1892]) ).
thf(1966,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $true )
| ( ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1917]) ).
thf(1967,plain,
! [SV29: x_a > $o,SV86: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $true )
| ( ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1918]) ).
thf(1968,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 )
| ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) )
= $false )
| ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $false )
| ( ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1919]) ).
thf(1969,plain,
! [SV86: x_a > $o,SV201: x_a,SV29: x_a > $o] :
( ( ( ( SV29 @ SV201 )
| ( SV86 @ SV201 ) )
= $false )
| ( ( ~ ( ~ ( SV29 @ SV201 )
| ~ ( SV86 @ SV201 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $false )
| ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1920]) ).
thf(1970,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $false )
| ( ( SV129 = SV30 )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1921]) ).
thf(1971,plain,
! [SV87: x_a,SV30: x_a > $o,SV129: x_a > $o] :
( ( ( ! [SV212: x_a] :
( ( SV129 @ SV212 )
= ( SV30 @ SV212 ) ) )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1922]) ).
thf(1972,plain,
! [SV87: x_a,SV30: x_a > $o,SV129: x_a > $o] :
( ( ( SV129 = SV30 )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1922]) ).
thf(1973,plain,
! [SV30: x_a > $o,SV87: x_a,SV129: x_a > $o] :
( ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1923]) ).
thf(1974,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ! [SV213: x_a] :
( ( insert_a @ SV87 @ SV129 @ SV213 )
= ( insert_a @ SV87 @ SV30 @ SV213 ) ) )
= $true )
| ( ( SV129 = SV30 )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1924]) ).
thf(1975,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $true )
| ( ( SV129 = SV30 )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1924]) ).
thf(1976,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $true )
| ( ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $true )
| ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1925]) ).
thf(1977,plain,
! [SV32: x_a > $o,SV89: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $true )
| ( ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $true )
| ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1926]) ).
thf(1978,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 )
| ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) )
= $false )
| ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $false )
| ( ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1927]) ).
thf(1979,plain,
! [SV89: x_a > $o,SV202: x_a,SV32: x_a > $o] :
( ( ( ( SV32 @ SV202 )
| ( SV89 @ SV202 ) )
= $false )
| ( ( ~ ( ~ ( SV32 @ SV202 )
| ~ ( SV89 @ SV202 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $false )
| ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1928]) ).
thf(1980,plain,
! [SV34: x_a > $o,SV198: x_a,SV91: x_a > $o] :
( ( ( ~ ( SV91 @ SV198 )
| ~ ( SV34 @ SV198 ) )
= $false )
| ( ( SV91 @ SV198 )
= $false )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1929]) ).
thf(1981,plain,
! [SV34: x_a > $o,SV198: x_a,SV91: x_a > $o] :
( ( ( ~ ( SV91 @ SV198 )
| ~ ( SV34 @ SV198 ) )
= $false )
| ( ( SV34 @ SV198 )
= $false )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1930]) ).
thf(1982,plain,
! [SV34: x_a > $o,SV91: x_a > $o] :
( ( ( SV91 @ ( sK19_SV194 @ SV34 @ SV91 ) )
= $false )
| ( ( ~ ( SV34 @ ( sK19_SV194 @ SV34 @ SV91 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $true )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1932]) ).
thf(1983,plain,
! [SV153: x_a,SV93: x_a,SV132: x_a,SV36: x_a] :
( ( ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1933]) ).
thf(1984,plain,
! [SV132: x_a,SV153: x_a,SV93: x_a,SV36: x_a] :
( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false )
| ( ( ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1934]) ).
thf(1985,plain,
! [SV93: x_a,SV153: x_a,SV132: x_a,SV36: x_a] :
( ( ( SV36 = SV132 )
= $true )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1935]) ).
thf(1986,plain,
! [SV132: x_a,SV36: x_a,SV153: x_a,SV93: x_a] :
( ( ( SV93 = SV153 )
= $true )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1936]) ).
thf(1987,plain,
! [SV93: x_a,SV132: x_a,SV153: x_a,SV36: x_a] :
( ( ( SV36 != SV153 )
= $false )
| ( ( SV36 = SV132 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1937]) ).
thf(1988,plain,
! [SV153: x_a,SV36: x_a,SV132: x_a,SV93: x_a] :
( ( ( SV93 != SV132 )
= $false )
| ( ( SV36 = SV132 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1937]) ).
thf(1989,plain,
! [SV132: x_a,SV93: x_a,SV153: x_a,SV36: x_a] :
( ( ( SV36 != SV153 )
= $false )
| ( ( SV93 = SV153 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1938]) ).
thf(1990,plain,
! [SV36: x_a,SV153: x_a,SV132: x_a,SV93: x_a] :
( ( ( SV93 != SV132 )
= $false )
| ( ( SV93 = SV153 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1938]) ).
thf(1991,plain,
! [SV153: x_a,SV132: x_a,SV214: x_a,SV93: x_a,SV36: x_a] :
( ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 ) )
= $true )
| ( ( SV36 = SV132 )
= $false )
| ( ( SV93 = SV153 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1939]) ).
thf(1992,plain,
! [SV153: x_a,SV132: x_a,SV215: x_a,SV93: x_a,SV36: x_a] :
( ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 ) )
= $true )
| ( ( SV36 = SV153 )
= $false )
| ( ( SV93 = SV132 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1941]) ).
thf(1993,plain,
! [SV176: x_a,SV102: x_a,SV216: x_a,SV45: x_a > $o] :
( ( ( ( SV45 @ SV216 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV216 ) )
= $true )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1944]) ).
thf(1994,plain,
! [SV176: x_a,SV102: x_a,SV217: x_a,SV45: x_a > $o] :
( ( ( ( SV45 @ SV217 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV217 ) )
= $true )
| ( ( SV45 @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1946]) ).
thf(1995,plain,
! [SV176: x_a,SV102: x_a,SV218: x_a,SV45: x_a > $o] :
( ( ( ( SV45 @ SV218 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV218 ) )
= $true )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1948]) ).
thf(1996,plain,
! [SV176: x_a,SV102: x_a,SV219: x_a,SV45: x_a > $o] :
( ( ( ( SV45 @ SV219 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV219 ) )
= $true )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1950]) ).
thf(1997,plain,
! [SV102: x_a,SV176: x_a,SV196: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV196 ) )
= $false )
| ( ( SV45 @ SV196 )
= $false )
| ( ( ( SV45 @ SV176 )
= ( bot_bot_a_o @ SV176 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1952]) ).
thf(1998,plain,
! [SV176: x_a,SV45: x_a > $o,SV196: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV196 ) )
= $false )
| ( ( SV45 @ SV196 )
= $false )
| ( ( ( SV45 @ SV176 )
= ( bot_bot_a_o @ SV176 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1952]) ).
thf(1999,plain,
! [SV176: x_a,SV102: x_a,SV196: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV196 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV196 )
= $false )
| ( ( ( SV45 @ SV176 )
= ( bot_bot_a_o @ SV176 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1953]) ).
thf(2000,plain,
! [SV176: x_a,SV45: x_a > $o,SV196: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV196 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV196 )
= $false )
| ( ( ( SV45 @ SV176 )
= ( bot_bot_a_o @ SV176 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1953]) ).
thf(2001,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV220: x_a,SV54: x_a > $o] :
( ( ( ( SV54 @ SV220 )
= ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1963]) ).
thf(2002,plain,
! [SV143: pname > $o,SV197: pname > $o,SV110: pname > x_a,SV54: x_a > $o] :
( ( ( ! [SV221: x_a] :
( ( SV54 @ SV221 )
= ( image_pname_a @ SV110 @ SV197 @ SV221 ) ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV197 @ SV143 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1965]) ).
thf(2003,plain,
! [SV143: pname > $o,SV197: pname > $o,SV110: pname > x_a,SV54: x_a > $o] :
( ( ( SV54
= ( image_pname_a @ SV110 @ SV197 ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV197 @ SV143 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1965]) ).
thf(2004,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV29 @ SV86 ) )
= $false )
| ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $false )
| ( ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1968]) ).
thf(2005,plain,
! [SV29: x_a > $o,SV86: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV86 @ SV29 ) )
= $false )
| ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $false )
| ( ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1968]) ).
thf(2006,plain,
! [SV86: x_a > $o,SV201: x_a,SV29: x_a > $o] :
( ( ( SV29 @ SV201 )
= $false )
| ( ( ~ ( ~ ( SV29 @ SV201 )
| ~ ( SV86 @ SV201 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $false )
| ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1969]) ).
thf(2007,plain,
! [SV29: x_a > $o,SV201: x_a,SV86: x_a > $o] :
( ( ( SV86 @ SV201 )
= $false )
| ( ( ~ ( ~ ( SV29 @ SV201 )
| ~ ( SV86 @ SV201 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $false )
| ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1969]) ).
thf(2008,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
| ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
| ~ ( ~ ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
| ~ ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) ) )
= $false )
| ( ( SV129 = SV30 )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1970]) ).
thf(2009,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $false )
| ( ( SV129 = SV30 )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1970]) ).
thf(2010,plain,
! [SV87: x_a,SV30: x_a > $o,SV222: x_a,SV129: x_a > $o] :
( ( ( ( SV129 @ SV222 )
= ( SV30 @ SV222 ) )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1971]) ).
thf(2011,plain,
! [SV30: x_a > $o,SV87: x_a,SV129: x_a > $o] :
( ( ( ~ ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
| ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
| ~ ( ~ ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
| ~ ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) ) )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1973]) ).
thf(2012,plain,
! [SV30: x_a > $o,SV87: x_a,SV129: x_a > $o] :
( ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1973]) ).
thf(2013,plain,
! [SV30: x_a > $o,SV223: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 @ SV223 )
= ( insert_a @ SV87 @ SV30 @ SV223 ) )
= $true )
| ( ( SV129 = SV30 )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1974]) ).
thf(2014,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV32 @ SV89 ) )
= $false )
| ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $false )
| ( ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1978]) ).
thf(2015,plain,
! [SV32: x_a > $o,SV89: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV89 @ SV32 ) )
= $false )
| ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $false )
| ( ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1978]) ).
thf(2016,plain,
! [SV89: x_a > $o,SV202: x_a,SV32: x_a > $o] :
( ( ( SV32 @ SV202 )
= $false )
| ( ( ~ ( ~ ( SV32 @ SV202 )
| ~ ( SV89 @ SV202 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $false )
| ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1979]) ).
thf(2017,plain,
! [SV32: x_a > $o,SV202: x_a,SV89: x_a > $o] :
( ( ( SV89 @ SV202 )
= $false )
| ( ( ~ ( ~ ( SV32 @ SV202 )
| ~ ( SV89 @ SV202 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $false )
| ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1979]) ).
thf(2018,plain,
! [SV34: x_a > $o,SV198: x_a,SV91: x_a > $o] :
( ( ( ~ ( SV91 @ SV198 ) )
= $false )
| ( ( SV91 @ SV198 )
= $false )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1980]) ).
thf(2019,plain,
! [SV91: x_a > $o,SV198: x_a,SV34: x_a > $o] :
( ( ( ~ ( SV34 @ SV198 ) )
= $false )
| ( ( SV91 @ SV198 )
= $false )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1980]) ).
thf(2020,plain,
! [SV34: x_a > $o,SV198: x_a,SV91: x_a > $o] :
( ( ( ~ ( SV91 @ SV198 ) )
= $false )
| ( ( SV34 @ SV198 )
= $false )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1981]) ).
thf(2021,plain,
! [SV91: x_a > $o,SV198: x_a,SV34: x_a > $o] :
( ( ( ~ ( SV34 @ SV198 ) )
= $false )
| ( ( SV34 @ SV198 )
= $false )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1981]) ).
thf(2022,plain,
! [SV91: x_a > $o,SV34: x_a > $o] :
( ( ( SV34 @ ( sK19_SV194 @ SV34 @ SV91 ) )
= $false )
| ( ( SV91 @ ( sK19_SV194 @ SV34 @ SV91 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $true )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1982]) ).
thf(2023,plain,
! [SV153: x_a,SV93: x_a,SV132: x_a,SV36: x_a] :
( ( ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
= $false )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1983]) ).
thf(2024,plain,
! [SV36: x_a,SV93: x_a,SV153: x_a,SV132: x_a] :
( ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false )
| ( ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
| ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1984]) ).
thf(2025,plain,
! [SV132: x_a,SV93: x_a,SV153: x_a,SV36: x_a] :
( ( ( ( SV36 != SV153 )
| ( SV93 != SV132 ) )
= $false )
| ( ( SV36 = SV132 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1985]) ).
thf(2026,plain,
! [SV132: x_a,SV93: x_a,SV153: x_a,SV36: x_a] :
( ( ( ( SV36 != SV153 )
| ( SV93 != SV132 ) )
= $false )
| ( ( SV93 = SV153 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1986]) ).
thf(2027,plain,
! [SV93: x_a,SV132: x_a,SV153: x_a,SV36: x_a] :
( ( ( SV36 = SV153 )
= $true )
| ( ( SV36 = SV132 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1987]) ).
thf(2028,plain,
! [SV153: x_a,SV36: x_a,SV132: x_a,SV93: x_a] :
( ( ( SV93 = SV132 )
= $true )
| ( ( SV36 = SV132 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1988]) ).
thf(2029,plain,
! [SV132: x_a,SV93: x_a,SV153: x_a,SV36: x_a] :
( ( ( SV36 = SV153 )
= $true )
| ( ( SV93 = SV153 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1989]) ).
thf(2030,plain,
! [SV36: x_a,SV153: x_a,SV132: x_a,SV93: x_a] :
( ( ( SV93 = SV132 )
= $true )
| ( ( SV93 = SV153 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1990]) ).
thf(2031,plain,
! [SV153: x_a,SV132: x_a,SV214: x_a,SV93: x_a,SV36: x_a] :
( ( ( ~ ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 )
| ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 ) )
| ~ ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 )
| ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 ) ) )
= $true )
| ( ( SV36 = SV132 )
= $false )
| ( ( SV93 = SV153 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1991]) ).
thf(2032,plain,
! [SV153: x_a,SV132: x_a,SV214: x_a,SV93: x_a,SV36: x_a] :
( ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 ) )
= $true )
| ( ( SV36 = SV132 )
= $false )
| ( ( SV93 = SV153 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1991]) ).
thf(2033,plain,
! [SV153: x_a,SV132: x_a,SV215: x_a,SV93: x_a,SV36: x_a] :
( ( ( ~ ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 )
| ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 ) )
| ~ ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 )
| ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 ) ) )
= $true )
| ( ( SV36 = SV153 )
= $false )
| ( ( SV93 = SV132 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1992]) ).
thf(2034,plain,
! [SV153: x_a,SV132: x_a,SV215: x_a,SV93: x_a,SV36: x_a] :
( ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 ) )
= $true )
| ( ( SV36 = SV153 )
= $false )
| ( ( SV93 = SV132 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1992]) ).
thf(2035,plain,
! [SV176: x_a,SV102: x_a,SV216: x_a,SV45: x_a > $o] :
( ( ( ~ ( ( SV45 @ SV216 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV216 ) )
| ~ ( ~ ( SV45 @ SV216 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV216 ) ) )
= $true )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1993]) ).
thf(2036,plain,
! [SV176: x_a,SV102: x_a,SV216: x_a,SV45: x_a > $o] :
( ( ( ( SV45 @ SV216 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV216 ) )
= $true )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1993]) ).
thf(2037,plain,
! [SV176: x_a,SV102: x_a,SV217: x_a,SV45: x_a > $o] :
( ( ( ~ ( ( SV45 @ SV217 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV217 ) )
| ~ ( ~ ( SV45 @ SV217 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV217 ) ) )
= $true )
| ( ( SV45 @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1994]) ).
thf(2038,plain,
! [SV176: x_a,SV102: x_a,SV217: x_a,SV45: x_a > $o] :
( ( ( ( SV45 @ SV217 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV217 ) )
= $true )
| ( ( SV45 @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1994]) ).
thf(2039,plain,
! [SV176: x_a,SV102: x_a,SV218: x_a,SV45: x_a > $o] :
( ( ( ~ ( ( SV45 @ SV218 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV218 ) )
| ~ ( ~ ( SV45 @ SV218 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV218 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1995]) ).
thf(2040,plain,
! [SV176: x_a,SV102: x_a,SV218: x_a,SV45: x_a > $o] :
( ( ( ( SV45 @ SV218 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV218 ) )
= $true )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1995]) ).
thf(2041,plain,
! [SV176: x_a,SV102: x_a,SV219: x_a,SV45: x_a > $o] :
( ( ( ~ ( ( SV45 @ SV219 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV219 ) )
| ~ ( ~ ( SV45 @ SV219 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV219 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1996]) ).
thf(2042,plain,
! [SV176: x_a,SV102: x_a,SV219: x_a,SV45: x_a > $o] :
( ( ( ( SV45 @ SV219 )
= ( insert_a @ SV102 @ bot_bot_a_o @ SV219 ) )
= $true )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1996]) ).
thf(2043,plain,
! [SV102: x_a,SV176: x_a,SV196: x_a,SV45: x_a > $o] :
( ( ( SV45 @ SV196 )
= $true )
| ( ( SV45 @ SV196 )
= $false )
| ( ( ( SV45 @ SV176 )
= ( bot_bot_a_o @ SV176 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1997]) ).
thf(2044,plain,
! [SV176: x_a,SV45: x_a > $o,SV196: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV196 )
= $true )
| ( ( SV45 @ SV196 )
= $false )
| ( ( ( SV45 @ SV176 )
= ( bot_bot_a_o @ SV176 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1998]) ).
thf(2045,plain,
! [SV176: x_a,SV102: x_a,SV196: x_a,SV45: x_a > $o] :
( ( ( SV45 @ SV196 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV196 )
= $false )
| ( ( ( SV45 @ SV176 )
= ( bot_bot_a_o @ SV176 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1999]) ).
thf(2046,plain,
! [SV176: x_a,SV45: x_a > $o,SV196: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV196 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV196 )
= $false )
| ( ( ( SV45 @ SV176 )
= ( bot_bot_a_o @ SV176 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2000]) ).
thf(2047,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV220: x_a,SV54: x_a > $o] :
( ( ( ~ ( ( SV54 @ SV220 )
| ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 ) )
| ~ ( ~ ( SV54 @ SV220 )
| ~ ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2001]) ).
thf(2048,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV220: x_a,SV54: x_a > $o] :
( ( ( ( SV54 @ SV220 )
= ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2001]) ).
thf(2049,plain,
! [SV110: pname > x_a,SV197: pname > $o,SV143: pname > $o,SV54: x_a > $o] :
( ( ( ( SV54 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) )
= ( image_pname_a @ SV110 @ SV197 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV197 @ SV143 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2002]) ).
thf(2050,plain,
! [SV86: x_a > $o,SV29: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $true )
| ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $false )
| ( ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2004]) ).
thf(2051,plain,
! [SV29: x_a > $o,SV86: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $true )
| ( ( SV29 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $false )
| ( ( SV86 @ ( sK15_SV187 @ SV86 @ SV29 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2005]) ).
thf(2052,plain,
! [SV86: x_a > $o,SV201: x_a,SV29: x_a > $o] :
( ( ( ~ ( SV29 @ SV201 )
| ~ ( SV86 @ SV201 ) )
= $false )
| ( ( SV29 @ SV201 )
= $false )
| ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $false )
| ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2006]) ).
thf(2053,plain,
! [SV86: x_a > $o,SV201: x_a,SV29: x_a > $o] :
( ( ( ~ ( SV29 @ SV201 )
| ~ ( SV86 @ SV201 ) )
= $false )
| ( ( SV86 @ SV201 )
= $false )
| ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $false )
| ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2007]) ).
thf(2054,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
| ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) ) )
= $false )
| ( ( SV129 = SV30 )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2008]) ).
thf(2055,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( ~ ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
| ~ ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) ) )
= $false )
| ( ( SV129 = SV30 )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2008]) ).
thf(2056,plain,
! [SV87: x_a,SV30: x_a > $o,SV129: x_a > $o] :
( ( ( ! [SV224: x_a] :
( ( SV129 @ SV224 )
= ( SV30 @ SV224 ) ) )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2009]) ).
thf(2057,plain,
! [SV87: x_a,SV30: x_a > $o,SV129: x_a > $o] :
( ( ( SV129 = SV30 )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2009]) ).
thf(2058,plain,
! [SV87: x_a,SV30: x_a > $o,SV222: x_a,SV129: x_a > $o] :
( ( ( ~ ( ( SV129 @ SV222 )
| ( SV30 @ SV222 ) )
| ~ ( ~ ( SV129 @ SV222 )
| ~ ( SV30 @ SV222 ) ) )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2010]) ).
thf(2059,plain,
! [SV87: x_a,SV30: x_a > $o,SV222: x_a,SV129: x_a > $o] :
( ( ( ( SV129 @ SV222 )
= ( SV30 @ SV222 ) )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2010]) ).
thf(2060,plain,
! [SV30: x_a > $o,SV87: x_a,SV129: x_a > $o] :
( ( ( ~ ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
| ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) ) )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2011]) ).
thf(2061,plain,
! [SV30: x_a > $o,SV87: x_a,SV129: x_a > $o] :
( ( ( ~ ( ~ ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
| ~ ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) ) )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2011]) ).
thf(2062,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ! [SV225: x_a] :
( ( insert_a @ SV87 @ SV129 @ SV225 )
= ( insert_a @ SV87 @ SV30 @ SV225 ) ) )
= $true )
| ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2012]) ).
thf(2063,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $true )
| ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2012]) ).
thf(2064,plain,
! [SV30: x_a > $o,SV223: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( ( insert_a @ SV87 @ SV129 @ SV223 )
| ( insert_a @ SV87 @ SV30 @ SV223 ) )
| ~ ( ~ ( insert_a @ SV87 @ SV129 @ SV223 )
| ~ ( insert_a @ SV87 @ SV30 @ SV223 ) ) )
= $true )
| ( ( SV129 = SV30 )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2013]) ).
thf(2065,plain,
! [SV30: x_a > $o,SV223: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 @ SV223 )
= ( insert_a @ SV87 @ SV30 @ SV223 ) )
= $true )
| ( ( SV129 = SV30 )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2013]) ).
thf(2066,plain,
! [SV89: x_a > $o,SV32: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $true )
| ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $false )
| ( ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2014]) ).
thf(2067,plain,
! [SV32: x_a > $o,SV89: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $true )
| ( ( SV32 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $false )
| ( ( SV89 @ ( sK16_SV188 @ SV89 @ SV32 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2015]) ).
thf(2068,plain,
! [SV89: x_a > $o,SV202: x_a,SV32: x_a > $o] :
( ( ( ~ ( SV32 @ SV202 )
| ~ ( SV89 @ SV202 ) )
= $false )
| ( ( SV32 @ SV202 )
= $false )
| ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $false )
| ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2016]) ).
thf(2069,plain,
! [SV89: x_a > $o,SV202: x_a,SV32: x_a > $o] :
( ( ( ~ ( SV32 @ SV202 )
| ~ ( SV89 @ SV202 ) )
= $false )
| ( ( SV89 @ SV202 )
= $false )
| ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $false )
| ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2017]) ).
thf(2070,plain,
! [SV34: x_a > $o,SV198: x_a,SV91: x_a > $o] :
( ( ( SV91 @ SV198 )
= $true )
| ( ( SV91 @ SV198 )
= $false )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2018]) ).
thf(2071,plain,
! [SV91: x_a > $o,SV198: x_a,SV34: x_a > $o] :
( ( ( SV34 @ SV198 )
= $true )
| ( ( SV91 @ SV198 )
= $false )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2019]) ).
thf(2072,plain,
! [SV34: x_a > $o,SV198: x_a,SV91: x_a > $o] :
( ( ( SV91 @ SV198 )
= $true )
| ( ( SV34 @ SV198 )
= $false )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2020]) ).
thf(2073,plain,
! [SV91: x_a > $o,SV198: x_a,SV34: x_a > $o] :
( ( ( SV34 @ SV198 )
= $true )
| ( ( SV34 @ SV198 )
= $false )
| ( ( ord_less_eq_a_o @ SV91 @ SV34 )
= $false )
| ( ( ord_less_eq_a_o @ SV34 @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2021]) ).
thf(2074,plain,
! [SV93: x_a,SV153: x_a,SV132: x_a,SV36: x_a] :
( ( ( SV36 != SV132 )
= $false )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2023]) ).
thf(2075,plain,
! [SV132: x_a,SV36: x_a,SV153: x_a,SV93: x_a] :
( ( ( SV93 != SV153 )
= $false )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2023]) ).
thf(2076,plain,
! [SV153: x_a,SV93: x_a,SV132: x_a,SV36: x_a] :
( ( ( ~ ( ( SV36 != SV132 )
| ( SV93 != SV153 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2024]) ).
thf(2077,plain,
! [SV93: x_a,SV132: x_a,SV153: x_a,SV36: x_a] :
( ( ( SV36 != SV153 )
= $false )
| ( ( SV36 = SV132 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2025]) ).
thf(2078,plain,
! [SV153: x_a,SV36: x_a,SV132: x_a,SV93: x_a] :
( ( ( SV93 != SV132 )
= $false )
| ( ( SV36 = SV132 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2025]) ).
thf(2079,plain,
! [SV132: x_a,SV93: x_a,SV153: x_a,SV36: x_a] :
( ( ( SV36 != SV153 )
= $false )
| ( ( SV93 = SV153 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2026]) ).
thf(2080,plain,
! [SV36: x_a,SV153: x_a,SV132: x_a,SV93: x_a] :
( ( ( SV93 != SV132 )
= $false )
| ( ( SV93 = SV153 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2026]) ).
thf(2081,plain,
! [SV153: x_a,SV132: x_a,SV214: x_a,SV93: x_a,SV36: x_a] :
( ( ( ~ ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 )
| ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 )
| ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 ) ) )
= $true )
| ( ( SV36 = SV132 )
= $false )
| ( ( SV93 = SV153 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2031]) ).
thf(2082,plain,
! [SV153: x_a,SV132: x_a,SV215: x_a,SV93: x_a,SV36: x_a] :
( ( ( ~ ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 )
| ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 )
| ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 ) ) )
= $true )
| ( ( SV36 = SV153 )
= $false )
| ( ( SV93 = SV132 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2033]) ).
thf(2083,plain,
! [SV176: x_a,SV102: x_a,SV216: x_a,SV45: x_a > $o] :
( ( ( ~ ( ( SV45 @ SV216 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV216 ) ) )
= $true )
| ( ( ~ ( ~ ( SV45 @ SV216 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV216 ) ) )
= $true )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2035]) ).
thf(2084,plain,
! [SV176: x_a,SV102: x_a,SV217: x_a,SV45: x_a > $o] :
( ( ( ~ ( ( SV45 @ SV217 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV217 ) ) )
= $true )
| ( ( ~ ( ~ ( SV45 @ SV217 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV217 ) ) )
= $true )
| ( ( SV45 @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2037]) ).
thf(2085,plain,
! [SV176: x_a,SV102: x_a,SV218: x_a,SV45: x_a > $o] :
( ( ( ~ ( ( SV45 @ SV218 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV218 ) ) )
= $true )
| ( ( ~ ( ~ ( SV45 @ SV218 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV218 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2039]) ).
thf(2086,plain,
! [SV176: x_a,SV102: x_a,SV219: x_a,SV45: x_a > $o] :
( ( ( ~ ( ( SV45 @ SV219 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV219 ) ) )
= $true )
| ( ( ~ ( ~ ( SV45 @ SV219 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV219 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2041]) ).
thf(2087,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV220: x_a,SV54: x_a > $o] :
( ( ( ~ ( ( SV54 @ SV220 )
| ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 ) ) )
= $true )
| ( ( ~ ( ~ ( SV54 @ SV220 )
| ~ ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2047]) ).
thf(2088,plain,
! [SV110: pname > x_a,SV197: pname > $o,SV143: pname > $o,SV54: x_a > $o] :
( ( ( ~ ( ( SV54 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) )
| ( image_pname_a @ SV110 @ SV197 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) ) )
| ~ ( ~ ( SV54 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) )
| ~ ( image_pname_a @ SV110 @ SV197 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) ) ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV197 @ SV143 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2049]) ).
thf(2089,plain,
! [SV110: pname > x_a,SV197: pname > $o,SV143: pname > $o,SV54: x_a > $o] :
( ( ( ( SV54 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) )
= ( image_pname_a @ SV110 @ SV197 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV197 @ SV143 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2049]) ).
thf(2090,plain,
! [SV86: x_a > $o,SV201: x_a,SV29: x_a > $o] :
( ( ( ~ ( SV29 @ SV201 ) )
= $false )
| ( ( SV29 @ SV201 )
= $false )
| ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $false )
| ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2052]) ).
thf(2091,plain,
! [SV29: x_a > $o,SV201: x_a,SV86: x_a > $o] :
( ( ( ~ ( SV86 @ SV201 ) )
= $false )
| ( ( SV29 @ SV201 )
= $false )
| ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $false )
| ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2052]) ).
thf(2092,plain,
! [SV86: x_a > $o,SV201: x_a,SV29: x_a > $o] :
( ( ( ~ ( SV29 @ SV201 ) )
= $false )
| ( ( SV86 @ SV201 )
= $false )
| ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $false )
| ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2053]) ).
thf(2093,plain,
! [SV29: x_a > $o,SV201: x_a,SV86: x_a > $o] :
( ( ( ~ ( SV86 @ SV201 ) )
= $false )
| ( ( SV86 @ SV201 )
= $false )
| ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $false )
| ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2053]) ).
thf(2094,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
| ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $true )
| ( ( SV129 = SV30 )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2054]) ).
thf(2095,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
| ~ ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $true )
| ( ( SV129 = SV30 )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2055]) ).
thf(2096,plain,
! [SV87: x_a,SV30: x_a > $o,SV226: x_a,SV129: x_a > $o] :
( ( ( ( SV129 @ SV226 )
= ( SV30 @ SV226 ) )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2056]) ).
thf(2097,plain,
! [SV87: x_a,SV30: x_a > $o,SV222: x_a,SV129: x_a > $o] :
( ( ( ~ ( ( SV129 @ SV222 )
| ( SV30 @ SV222 ) ) )
= $true )
| ( ( ~ ( ~ ( SV129 @ SV222 )
| ~ ( SV30 @ SV222 ) ) )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2058]) ).
thf(2098,plain,
! [SV30: x_a > $o,SV87: x_a,SV129: x_a > $o] :
( ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
| ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2060]) ).
thf(2099,plain,
! [SV30: x_a > $o,SV87: x_a,SV129: x_a > $o] :
( ( ( ~ ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
| ~ ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2061]) ).
thf(2100,plain,
! [SV30: x_a > $o,SV227: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 @ SV227 )
= ( insert_a @ SV87 @ SV30 @ SV227 ) )
= $true )
| ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2062]) ).
thf(2101,plain,
! [SV30: x_a > $o,SV223: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( ( insert_a @ SV87 @ SV129 @ SV223 )
| ( insert_a @ SV87 @ SV30 @ SV223 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV87 @ SV129 @ SV223 )
| ~ ( insert_a @ SV87 @ SV30 @ SV223 ) ) )
= $true )
| ( ( SV129 = SV30 )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2064]) ).
thf(2102,plain,
! [SV89: x_a > $o,SV202: x_a,SV32: x_a > $o] :
( ( ( ~ ( SV32 @ SV202 ) )
= $false )
| ( ( SV32 @ SV202 )
= $false )
| ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $false )
| ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2068]) ).
thf(2103,plain,
! [SV32: x_a > $o,SV202: x_a,SV89: x_a > $o] :
( ( ( ~ ( SV89 @ SV202 ) )
= $false )
| ( ( SV32 @ SV202 )
= $false )
| ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $false )
| ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2068]) ).
thf(2104,plain,
! [SV89: x_a > $o,SV202: x_a,SV32: x_a > $o] :
( ( ( ~ ( SV32 @ SV202 ) )
= $false )
| ( ( SV89 @ SV202 )
= $false )
| ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $false )
| ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2069]) ).
thf(2105,plain,
! [SV32: x_a > $o,SV202: x_a,SV89: x_a > $o] :
( ( ( ~ ( SV89 @ SV202 ) )
= $false )
| ( ( SV89 @ SV202 )
= $false )
| ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $false )
| ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2069]) ).
thf(2106,plain,
! [SV93: x_a,SV153: x_a,SV132: x_a,SV36: x_a] :
( ( ( SV36 = SV132 )
= $true )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2074]) ).
thf(2107,plain,
! [SV132: x_a,SV36: x_a,SV153: x_a,SV93: x_a] :
( ( ( SV93 = SV153 )
= $true )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2075]) ).
thf(2108,plain,
! [SV153: x_a,SV93: x_a,SV132: x_a,SV36: x_a] :
( ( ( ( SV36 != SV132 )
| ( SV93 != SV153 ) )
= $false )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2076]) ).
thf(2109,plain,
! [SV93: x_a,SV132: x_a,SV153: x_a,SV36: x_a] :
( ( ( SV36 = SV153 )
= $true )
| ( ( SV36 = SV132 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2077]) ).
thf(2110,plain,
! [SV153: x_a,SV36: x_a,SV132: x_a,SV93: x_a] :
( ( ( SV93 = SV132 )
= $true )
| ( ( SV36 = SV132 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2078]) ).
thf(2111,plain,
! [SV132: x_a,SV93: x_a,SV153: x_a,SV36: x_a] :
( ( ( SV36 = SV153 )
= $true )
| ( ( SV93 = SV153 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2079]) ).
thf(2112,plain,
! [SV36: x_a,SV153: x_a,SV132: x_a,SV93: x_a] :
( ( ( SV93 = SV132 )
= $true )
| ( ( SV93 = SV153 )
= $true )
| ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2080]) ).
thf(2113,plain,
! [SV153: x_a,SV132: x_a,SV214: x_a,SV93: x_a,SV36: x_a] :
( ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 )
| ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 )
| ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 ) ) )
= $true )
| ( ( SV36 = SV132 )
= $false )
| ( ( SV93 = SV153 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2081]) ).
thf(2114,plain,
! [SV153: x_a,SV132: x_a,SV215: x_a,SV93: x_a,SV36: x_a] :
( ( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 )
| ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 )
| ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 ) ) )
= $true )
| ( ( SV36 = SV153 )
= $false )
| ( ( SV93 = SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2082]) ).
thf(2115,plain,
! [SV176: x_a,SV102: x_a,SV216: x_a,SV45: x_a > $o] :
( ( ( ( SV45 @ SV216 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV216 ) )
= $false )
| ( ( ~ ( ~ ( SV45 @ SV216 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV216 ) ) )
= $true )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2083]) ).
thf(2116,plain,
! [SV176: x_a,SV102: x_a,SV217: x_a,SV45: x_a > $o] :
( ( ( ( SV45 @ SV217 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV217 ) )
= $false )
| ( ( ~ ( ~ ( SV45 @ SV217 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV217 ) ) )
= $true )
| ( ( SV45 @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2084]) ).
thf(2117,plain,
! [SV176: x_a,SV102: x_a,SV218: x_a,SV45: x_a > $o] :
( ( ( ( SV45 @ SV218 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV218 ) )
= $false )
| ( ( ~ ( ~ ( SV45 @ SV218 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV218 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2085]) ).
thf(2118,plain,
! [SV176: x_a,SV102: x_a,SV219: x_a,SV45: x_a > $o] :
( ( ( ( SV45 @ SV219 )
| ( insert_a @ SV102 @ bot_bot_a_o @ SV219 ) )
= $false )
| ( ( ~ ( ~ ( SV45 @ SV219 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV219 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2086]) ).
thf(2119,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV220: x_a,SV54: x_a > $o] :
( ( ( ( SV54 @ SV220 )
| ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 ) )
= $false )
| ( ( ~ ( ~ ( SV54 @ SV220 )
| ~ ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2087]) ).
thf(2120,plain,
! [SV110: pname > x_a,SV197: pname > $o,SV143: pname > $o,SV54: x_a > $o] :
( ( ( ~ ( ( SV54 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) )
| ( image_pname_a @ SV110 @ SV197 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) ) ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV197 @ SV143 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2088]) ).
thf(2121,plain,
! [SV110: pname > x_a,SV197: pname > $o,SV143: pname > $o,SV54: x_a > $o] :
( ( ( ~ ( ~ ( SV54 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) )
| ~ ( image_pname_a @ SV110 @ SV197 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) ) ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV197 @ SV143 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2088]) ).
thf(2122,plain,
! [SV86: x_a > $o,SV201: x_a,SV29: x_a > $o] :
( ( ( SV29 @ SV201 )
= $true )
| ( ( SV29 @ SV201 )
= $false )
| ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $false )
| ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2090]) ).
thf(2123,plain,
! [SV29: x_a > $o,SV201: x_a,SV86: x_a > $o] :
( ( ( SV86 @ SV201 )
= $true )
| ( ( SV29 @ SV201 )
= $false )
| ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $false )
| ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2091]) ).
thf(2124,plain,
! [SV86: x_a > $o,SV201: x_a,SV29: x_a > $o] :
( ( ( SV29 @ SV201 )
= $true )
| ( ( SV86 @ SV201 )
= $false )
| ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $false )
| ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2092]) ).
thf(2125,plain,
! [SV29: x_a > $o,SV201: x_a,SV86: x_a > $o] :
( ( ( SV86 @ SV201 )
= $true )
| ( ( SV86 @ SV201 )
= $false )
| ( ( ord_less_eq_a_o @ SV29 @ SV86 )
= $false )
| ( ( ord_less_eq_a_o @ SV86 @ SV29 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2093]) ).
thf(2126,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( SV129 = SV30 )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2094]) ).
thf(2127,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $true )
| ( ( ~ ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $true )
| ( ( SV129 = SV30 )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2095]) ).
thf(2128,plain,
! [SV87: x_a,SV30: x_a > $o,SV226: x_a,SV129: x_a > $o] :
( ( ( ~ ( ( SV129 @ SV226 )
| ( SV30 @ SV226 ) )
| ~ ( ~ ( SV129 @ SV226 )
| ~ ( SV30 @ SV226 ) ) )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2096]) ).
thf(2129,plain,
! [SV87: x_a,SV30: x_a > $o,SV226: x_a,SV129: x_a > $o] :
( ( ( ( SV129 @ SV226 )
= ( SV30 @ SV226 ) )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2096]) ).
thf(2130,plain,
! [SV87: x_a,SV30: x_a > $o,SV222: x_a,SV129: x_a > $o] :
( ( ( ( SV129 @ SV222 )
| ( SV30 @ SV222 ) )
= $false )
| ( ( ~ ( ~ ( SV129 @ SV222 )
| ~ ( SV30 @ SV222 ) ) )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2097]) ).
thf(2131,plain,
! [SV30: x_a > $o,SV87: x_a,SV129: x_a > $o] :
( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2098]) ).
thf(2132,plain,
! [SV30: x_a > $o,SV87: x_a,SV129: x_a > $o] :
( ( ( ~ ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $true )
| ( ( ~ ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2099]) ).
thf(2133,plain,
! [SV30: x_a > $o,SV227: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( ( insert_a @ SV87 @ SV129 @ SV227 )
| ( insert_a @ SV87 @ SV30 @ SV227 ) )
| ~ ( ~ ( insert_a @ SV87 @ SV129 @ SV227 )
| ~ ( insert_a @ SV87 @ SV30 @ SV227 ) ) )
= $true )
| ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2100]) ).
thf(2134,plain,
! [SV30: x_a > $o,SV227: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 @ SV227 )
= ( insert_a @ SV87 @ SV30 @ SV227 ) )
= $true )
| ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2100]) ).
thf(2135,plain,
! [SV30: x_a > $o,SV223: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 @ SV223 )
| ( insert_a @ SV87 @ SV30 @ SV223 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV87 @ SV129 @ SV223 )
| ~ ( insert_a @ SV87 @ SV30 @ SV223 ) ) )
= $true )
| ( ( SV129 = SV30 )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2101]) ).
thf(2136,plain,
! [SV89: x_a > $o,SV202: x_a,SV32: x_a > $o] :
( ( ( SV32 @ SV202 )
= $true )
| ( ( SV32 @ SV202 )
= $false )
| ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $false )
| ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2102]) ).
thf(2137,plain,
! [SV32: x_a > $o,SV202: x_a,SV89: x_a > $o] :
( ( ( SV89 @ SV202 )
= $true )
| ( ( SV32 @ SV202 )
= $false )
| ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $false )
| ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2103]) ).
thf(2138,plain,
! [SV89: x_a > $o,SV202: x_a,SV32: x_a > $o] :
( ( ( SV32 @ SV202 )
= $true )
| ( ( SV89 @ SV202 )
= $false )
| ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $false )
| ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2104]) ).
thf(2139,plain,
! [SV32: x_a > $o,SV202: x_a,SV89: x_a > $o] :
( ( ( SV89 @ SV202 )
= $true )
| ( ( SV89 @ SV202 )
= $false )
| ( ( ord_less_eq_a_o @ SV32 @ SV89 )
= $false )
| ( ( ord_less_eq_a_o @ SV89 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2105]) ).
thf(2140,plain,
! [SV132: x_a,SV93: x_a,SV153: x_a,SV36: x_a] :
( ( ( ( SV36 != SV153 )
| ( SV93 != SV132 ) )
= $false )
| ( ( SV36 = SV132 )
= $true )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2106]) ).
thf(2141,plain,
! [SV132: x_a,SV93: x_a,SV153: x_a,SV36: x_a] :
( ( ( ( SV36 != SV153 )
| ( SV93 != SV132 ) )
= $false )
| ( ( SV93 = SV153 )
= $true )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2107]) ).
thf(2142,plain,
! [SV93: x_a,SV153: x_a,SV132: x_a,SV36: x_a] :
( ( ( SV36 != SV132 )
= $false )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2108]) ).
thf(2143,plain,
! [SV132: x_a,SV36: x_a,SV153: x_a,SV93: x_a] :
( ( ( SV93 != SV153 )
= $false )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2108]) ).
thf(2144,plain,
! [SV153: x_a,SV132: x_a,SV214: x_a,SV93: x_a,SV36: x_a] :
( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 )
| ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 ) ) )
= $true )
| ( ( SV36 = SV132 )
= $false )
| ( ( SV93 = SV153 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2113]) ).
thf(2145,plain,
! [SV93: x_a,SV36: x_a,SV214: x_a,SV153: x_a,SV132: x_a] :
( ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 )
| ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 ) ) )
= $true )
| ( ( SV36 = SV132 )
= $false )
| ( ( SV93 = SV153 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2113]) ).
thf(2146,plain,
! [SV153: x_a,SV132: x_a,SV215: x_a,SV93: x_a,SV36: x_a] :
( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 )
| ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 ) ) )
= $true )
| ( ( SV36 = SV153 )
= $false )
| ( ( SV93 = SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2114]) ).
thf(2147,plain,
! [SV93: x_a,SV36: x_a,SV215: x_a,SV153: x_a,SV132: x_a] :
( ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 )
| ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 ) ) )
= $true )
| ( ( SV36 = SV153 )
= $false )
| ( ( SV93 = SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2114]) ).
thf(2148,plain,
! [SV176: x_a,SV102: x_a,SV216: x_a,SV45: x_a > $o] :
( ( ( SV45 @ SV216 )
= $false )
| ( ( ~ ( ~ ( SV45 @ SV216 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV216 ) ) )
= $true )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2115]) ).
thf(2149,plain,
! [SV176: x_a,SV45: x_a > $o,SV216: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV216 )
= $false )
| ( ( ~ ( ~ ( SV45 @ SV216 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV216 ) ) )
= $true )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2115]) ).
thf(2150,plain,
! [SV176: x_a,SV102: x_a,SV217: x_a,SV45: x_a > $o] :
( ( ( SV45 @ SV217 )
= $false )
| ( ( ~ ( ~ ( SV45 @ SV217 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV217 ) ) )
= $true )
| ( ( SV45 @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2116]) ).
thf(2151,plain,
! [SV176: x_a,SV45: x_a > $o,SV217: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV217 )
= $false )
| ( ( ~ ( ~ ( SV45 @ SV217 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV217 ) ) )
= $true )
| ( ( SV45 @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2116]) ).
thf(2152,plain,
! [SV176: x_a,SV102: x_a,SV218: x_a,SV45: x_a > $o] :
( ( ( SV45 @ SV218 )
= $false )
| ( ( ~ ( ~ ( SV45 @ SV218 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV218 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2117]) ).
thf(2153,plain,
! [SV176: x_a,SV45: x_a > $o,SV218: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV218 )
= $false )
| ( ( ~ ( ~ ( SV45 @ SV218 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV218 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2117]) ).
thf(2154,plain,
! [SV176: x_a,SV102: x_a,SV219: x_a,SV45: x_a > $o] :
( ( ( SV45 @ SV219 )
= $false )
| ( ( ~ ( ~ ( SV45 @ SV219 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV219 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2118]) ).
thf(2155,plain,
! [SV176: x_a,SV45: x_a > $o,SV219: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV219 )
= $false )
| ( ( ~ ( ~ ( SV45 @ SV219 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV219 ) ) )
= $true )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2118]) ).
thf(2156,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV220: x_a,SV54: x_a > $o] :
( ( ( SV54 @ SV220 )
= $false )
| ( ( ~ ( ~ ( SV54 @ SV220 )
| ~ ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2119]) ).
thf(2157,plain,
! [SV220: x_a,SV143: pname > $o,SV54: x_a > $o,SV110: pname > x_a] :
( ( ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 )
= $false )
| ( ( ~ ( ~ ( SV54 @ SV220 )
| ~ ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2119]) ).
thf(2158,plain,
! [SV110: pname > x_a,SV197: pname > $o,SV143: pname > $o,SV54: x_a > $o] :
( ( ( ( SV54 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) )
| ( image_pname_a @ SV110 @ SV197 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) ) )
= $true )
| ( ( ord_less_eq_pname_o @ SV197 @ SV143 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2120]) ).
thf(2159,plain,
! [SV110: pname > x_a,SV197: pname > $o,SV143: pname > $o,SV54: x_a > $o] :
( ( ( ~ ( SV54 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) )
| ~ ( image_pname_a @ SV110 @ SV197 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) ) )
= $true )
| ( ( ord_less_eq_pname_o @ SV197 @ SV143 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2121]) ).
thf(2160,plain,
! [SV87: x_a,SV30: x_a > $o,SV129: x_a > $o] :
( ( ( ! [SV228: x_a] :
( ( SV129 @ SV228 )
= ( SV30 @ SV228 ) ) )
= $true )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2126]) ).
thf(2161,plain,
! [SV87: x_a,SV30: x_a > $o,SV129: x_a > $o] :
( ( ( SV129 = SV30 )
= $true )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2126]) ).
thf(2162,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( ~ ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $true )
| ( ( SV129 = SV30 )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2127]) ).
thf(2163,plain,
! [SV87: x_a,SV30: x_a > $o,SV226: x_a,SV129: x_a > $o] :
( ( ( ~ ( ( SV129 @ SV226 )
| ( SV30 @ SV226 ) ) )
= $true )
| ( ( ~ ( ~ ( SV129 @ SV226 )
| ~ ( SV30 @ SV226 ) ) )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2128]) ).
thf(2164,plain,
! [SV87: x_a,SV30: x_a > $o,SV222: x_a,SV129: x_a > $o] :
( ( ( SV129 @ SV222 )
= $false )
| ( ( ~ ( ~ ( SV129 @ SV222 )
| ~ ( SV30 @ SV222 ) ) )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2130]) ).
thf(2165,plain,
! [SV87: x_a,SV129: x_a > $o,SV222: x_a,SV30: x_a > $o] :
( ( ( SV30 @ SV222 )
= $false )
| ( ( ~ ( ~ ( SV129 @ SV222 )
| ~ ( SV30 @ SV222 ) ) )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2130]) ).
thf(2166,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ! [SV229: x_a] :
( ( insert_a @ SV87 @ SV129 @ SV229 )
= ( insert_a @ SV87 @ SV30 @ SV229 ) ) )
= $true )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2131]) ).
thf(2167,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $true )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2131]) ).
thf(2168,plain,
! [SV30: x_a > $o,SV87: x_a,SV129: x_a > $o] :
( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( ~ ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2132]) ).
thf(2169,plain,
! [SV30: x_a > $o,SV227: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( ( insert_a @ SV87 @ SV129 @ SV227 )
| ( insert_a @ SV87 @ SV30 @ SV227 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV87 @ SV129 @ SV227 )
| ~ ( insert_a @ SV87 @ SV30 @ SV227 ) ) )
= $true )
| ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2133]) ).
thf(2170,plain,
! [SV30: x_a > $o,SV223: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV129 @ SV223 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV87 @ SV129 @ SV223 )
| ~ ( insert_a @ SV87 @ SV30 @ SV223 ) ) )
= $true )
| ( ( SV129 = SV30 )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2135]) ).
thf(2171,plain,
! [SV129: x_a > $o,SV223: x_a,SV30: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV30 @ SV223 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV87 @ SV129 @ SV223 )
| ~ ( insert_a @ SV87 @ SV30 @ SV223 ) ) )
= $true )
| ( ( SV129 = SV30 )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2135]) ).
thf(2172,plain,
! [SV93: x_a,SV132: x_a,SV153: x_a,SV36: x_a] :
( ( ( SV36 != SV153 )
= $false )
| ( ( SV36 = SV132 )
= $true )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2140]) ).
thf(2173,plain,
! [SV153: x_a,SV36: x_a,SV132: x_a,SV93: x_a] :
( ( ( SV93 != SV132 )
= $false )
| ( ( SV36 = SV132 )
= $true )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2140]) ).
thf(2174,plain,
! [SV132: x_a,SV93: x_a,SV153: x_a,SV36: x_a] :
( ( ( SV36 != SV153 )
= $false )
| ( ( SV93 = SV153 )
= $true )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2141]) ).
thf(2175,plain,
! [SV36: x_a,SV153: x_a,SV132: x_a,SV93: x_a] :
( ( ( SV93 != SV132 )
= $false )
| ( ( SV93 = SV153 )
= $true )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2141]) ).
thf(2176,plain,
! [SV93: x_a,SV153: x_a,SV132: x_a,SV36: x_a] :
( ( ( SV36 = SV132 )
= $true )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2142]) ).
thf(2177,plain,
! [SV132: x_a,SV36: x_a,SV153: x_a,SV93: x_a] :
( ( ( SV93 = SV153 )
= $true )
| ( ( ~ ( ( SV36 != SV153 )
| ( SV93 != SV132 ) ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2143]) ).
thf(2178,plain,
! [SV153: x_a,SV132: x_a,SV214: x_a,SV93: x_a,SV36: x_a] :
( ( ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 )
| ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 ) )
= $false )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 )
= $false )
| ( ( SV36 = SV132 )
= $false )
| ( ( SV93 = SV153 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2144]) ).
thf(2179,plain,
! [SV153: x_a,SV132: x_a,SV214: x_a,SV93: x_a,SV36: x_a] :
( ( ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 )
| ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 )
= $false )
| ( ( SV36 = SV132 )
= $false )
| ( ( SV93 = SV153 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2145]) ).
thf(2180,plain,
! [SV153: x_a,SV132: x_a,SV215: x_a,SV93: x_a,SV36: x_a] :
( ( ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 )
| ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 ) )
= $false )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 )
= $false )
| ( ( SV36 = SV153 )
= $false )
| ( ( SV93 = SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2146]) ).
thf(2181,plain,
! [SV153: x_a,SV132: x_a,SV215: x_a,SV93: x_a,SV36: x_a] :
( ( ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 )
| ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 )
= $false )
| ( ( SV36 = SV153 )
= $false )
| ( ( SV93 = SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2147]) ).
thf(2182,plain,
! [SV176: x_a,SV102: x_a,SV216: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV216 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV216 ) )
= $false )
| ( ( SV45 @ SV216 )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2148]) ).
thf(2183,plain,
! [SV176: x_a,SV102: x_a,SV216: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV216 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV216 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV216 )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2149]) ).
thf(2184,plain,
! [SV176: x_a,SV102: x_a,SV217: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV217 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV217 ) )
= $false )
| ( ( SV45 @ SV217 )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2150]) ).
thf(2185,plain,
! [SV176: x_a,SV102: x_a,SV217: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV217 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV217 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV217 )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2151]) ).
thf(2186,plain,
! [SV176: x_a,SV102: x_a,SV218: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV218 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV218 ) )
= $false )
| ( ( SV45 @ SV218 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2152]) ).
thf(2187,plain,
! [SV176: x_a,SV102: x_a,SV218: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV218 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV218 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV218 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2153]) ).
thf(2188,plain,
! [SV176: x_a,SV102: x_a,SV219: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV219 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV219 ) )
= $false )
| ( ( SV45 @ SV219 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2154]) ).
thf(2189,plain,
! [SV176: x_a,SV102: x_a,SV219: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV219 )
| ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV219 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV219 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2155]) ).
thf(2190,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV220: x_a,SV54: x_a > $o] :
( ( ( ~ ( SV54 @ SV220 )
| ~ ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 ) )
= $false )
| ( ( SV54 @ SV220 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2156]) ).
thf(2191,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV220: x_a,SV54: x_a > $o] :
( ( ( ~ ( SV54 @ SV220 )
| ~ ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 ) )
= $false )
| ( ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2157]) ).
thf(2192,plain,
! [SV110: pname > x_a,SV197: pname > $o,SV143: pname > $o,SV54: x_a > $o] :
( ( ( SV54 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) )
= $true )
| ( ( image_pname_a @ SV110 @ SV197 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) )
= $true )
| ( ( ord_less_eq_pname_o @ SV197 @ SV143 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2158]) ).
thf(2193,plain,
! [SV110: pname > x_a,SV197: pname > $o,SV143: pname > $o,SV54: x_a > $o] :
( ( ( ~ ( SV54 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) ) )
= $true )
| ( ( ~ ( image_pname_a @ SV110 @ SV197 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) ) )
= $true )
| ( ( ord_less_eq_pname_o @ SV197 @ SV143 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2159]) ).
thf(2194,plain,
! [SV87: x_a,SV30: x_a > $o,SV230: x_a,SV129: x_a > $o] :
( ( ( ( SV129 @ SV230 )
= ( SV30 @ SV230 ) )
= $true )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2160]) ).
thf(2195,plain,
! [SV129: x_a > $o,SV30: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( SV129 = SV30 )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2162]) ).
thf(2196,plain,
! [SV87: x_a,SV30: x_a > $o,SV226: x_a,SV129: x_a > $o] :
( ( ( ( SV129 @ SV226 )
| ( SV30 @ SV226 ) )
= $false )
| ( ( ~ ( ~ ( SV129 @ SV226 )
| ~ ( SV30 @ SV226 ) ) )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2163]) ).
thf(2197,plain,
! [SV87: x_a,SV30: x_a > $o,SV222: x_a,SV129: x_a > $o] :
( ( ( ~ ( SV129 @ SV222 )
| ~ ( SV30 @ SV222 ) )
= $false )
| ( ( SV129 @ SV222 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2164]) ).
thf(2198,plain,
! [SV87: x_a,SV30: x_a > $o,SV222: x_a,SV129: x_a > $o] :
( ( ( ~ ( SV129 @ SV222 )
| ~ ( SV30 @ SV222 ) )
= $false )
| ( ( SV30 @ SV222 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2165]) ).
thf(2199,plain,
! [SV30: x_a > $o,SV231: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 @ SV231 )
= ( insert_a @ SV87 @ SV30 @ SV231 ) )
= $true )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2166]) ).
thf(2200,plain,
! [SV129: x_a > $o,SV87: x_a,SV30: x_a > $o] :
( ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2168]) ).
thf(2201,plain,
! [SV30: x_a > $o,SV227: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 @ SV227 )
| ( insert_a @ SV87 @ SV30 @ SV227 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV87 @ SV129 @ SV227 )
| ~ ( insert_a @ SV87 @ SV30 @ SV227 ) ) )
= $true )
| ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2169]) ).
thf(2202,plain,
! [SV30: x_a > $o,SV223: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV129 @ SV223 )
| ~ ( insert_a @ SV87 @ SV30 @ SV223 ) )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ SV223 )
= $false )
| ( ( SV129 = SV30 )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2170]) ).
thf(2203,plain,
! [SV30: x_a > $o,SV223: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV129 @ SV223 )
| ~ ( insert_a @ SV87 @ SV30 @ SV223 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ SV223 )
= $false )
| ( ( SV129 = SV30 )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2171]) ).
thf(2204,plain,
! [SV93: x_a,SV132: x_a,SV153: x_a,SV36: x_a] :
( ( ( SV36 = SV153 )
= $true )
| ( ( SV36 = SV132 )
= $true )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2172]) ).
thf(2205,plain,
! [SV153: x_a,SV36: x_a,SV132: x_a,SV93: x_a] :
( ( ( SV93 = SV132 )
= $true )
| ( ( SV36 = SV132 )
= $true )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2173]) ).
thf(2206,plain,
! [SV132: x_a,SV93: x_a,SV153: x_a,SV36: x_a] :
( ( ( SV36 = SV153 )
= $true )
| ( ( SV93 = SV153 )
= $true )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2174]) ).
thf(2207,plain,
! [SV36: x_a,SV153: x_a,SV132: x_a,SV93: x_a] :
( ( ( SV93 = SV132 )
= $true )
| ( ( SV93 = SV153 )
= $true )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2175]) ).
thf(2208,plain,
! [SV132: x_a,SV93: x_a,SV153: x_a,SV36: x_a] :
( ( ( ( SV36 != SV153 )
| ( SV93 != SV132 ) )
= $false )
| ( ( SV36 = SV132 )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2176]) ).
thf(2209,plain,
! [SV132: x_a,SV93: x_a,SV153: x_a,SV36: x_a] :
( ( ( ( SV36 != SV153 )
| ( SV93 != SV132 ) )
= $false )
| ( ( SV93 = SV153 )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2177]) ).
thf(2210,plain,
! [SV153: x_a,SV132: x_a,SV214: x_a,SV93: x_a,SV36: x_a] :
( ( ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 ) )
= $false )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 )
= $false )
| ( ( SV36 = SV132 )
= $false )
| ( ( SV93 = SV153 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2178]) ).
thf(2211,plain,
! [SV93: x_a,SV36: x_a,SV214: x_a,SV153: x_a,SV132: x_a] :
( ( ( ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 ) )
= $false )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 )
= $false )
| ( ( SV36 = SV132 )
= $false )
| ( ( SV93 = SV153 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2178]) ).
thf(2212,plain,
! [SV153: x_a,SV132: x_a,SV214: x_a,SV93: x_a,SV36: x_a] :
( ( ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 )
= $false )
| ( ( SV36 = SV132 )
= $false )
| ( ( SV93 = SV153 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2179]) ).
thf(2213,plain,
! [SV93: x_a,SV36: x_a,SV214: x_a,SV153: x_a,SV132: x_a] :
( ( ( ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 )
= $false )
| ( ( SV36 = SV132 )
= $false )
| ( ( SV93 = SV153 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2179]) ).
thf(2214,plain,
! [SV132: x_a,SV153: x_a,SV215: x_a,SV93: x_a,SV36: x_a] :
( ( ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 ) )
= $false )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 )
= $false )
| ( ( SV36 = SV153 )
= $false )
| ( ( SV93 = SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2180]) ).
thf(2215,plain,
! [SV93: x_a,SV36: x_a,SV215: x_a,SV153: x_a,SV132: x_a] :
( ( ( ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 ) )
= $false )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 )
= $false )
| ( ( SV36 = SV153 )
= $false )
| ( ( SV93 = SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2180]) ).
thf(2216,plain,
! [SV153: x_a,SV132: x_a,SV215: x_a,SV93: x_a,SV36: x_a] :
( ( ( ~ ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 )
= $false )
| ( ( SV36 = SV153 )
= $false )
| ( ( SV93 = SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2181]) ).
thf(2217,plain,
! [SV93: x_a,SV36: x_a,SV215: x_a,SV153: x_a,SV132: x_a] :
( ( ( ~ ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 )
= $false )
| ( ( SV36 = SV153 )
= $false )
| ( ( SV93 = SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2181]) ).
thf(2218,plain,
! [SV102: x_a,SV176: x_a,SV216: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV216 ) )
= $false )
| ( ( SV45 @ SV216 )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2182]) ).
thf(2219,plain,
! [SV176: x_a,SV45: x_a > $o,SV216: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV216 ) )
= $false )
| ( ( SV45 @ SV216 )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2182]) ).
thf(2220,plain,
! [SV176: x_a,SV102: x_a,SV216: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV216 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV216 )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2183]) ).
thf(2221,plain,
! [SV176: x_a,SV45: x_a > $o,SV216: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV216 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV216 )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2183]) ).
thf(2222,plain,
! [SV102: x_a,SV176: x_a,SV217: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV217 ) )
= $false )
| ( ( SV45 @ SV217 )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2184]) ).
thf(2223,plain,
! [SV176: x_a,SV45: x_a > $o,SV217: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV217 ) )
= $false )
| ( ( SV45 @ SV217 )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2184]) ).
thf(2224,plain,
! [SV176: x_a,SV102: x_a,SV217: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV217 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV217 )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2185]) ).
thf(2225,plain,
! [SV176: x_a,SV45: x_a > $o,SV217: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV217 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV217 )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2185]) ).
thf(2226,plain,
! [SV102: x_a,SV176: x_a,SV218: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV218 ) )
= $false )
| ( ( SV45 @ SV218 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2186]) ).
thf(2227,plain,
! [SV176: x_a,SV45: x_a > $o,SV218: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV218 ) )
= $false )
| ( ( SV45 @ SV218 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2186]) ).
thf(2228,plain,
! [SV176: x_a,SV102: x_a,SV218: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV218 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV218 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2187]) ).
thf(2229,plain,
! [SV45: x_a > $o,SV176: x_a,SV218: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV218 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV218 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2187]) ).
thf(2230,plain,
! [SV102: x_a,SV176: x_a,SV219: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV219 ) )
= $false )
| ( ( SV45 @ SV219 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2188]) ).
thf(2231,plain,
! [SV176: x_a,SV45: x_a > $o,SV219: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV219 ) )
= $false )
| ( ( SV45 @ SV219 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2188]) ).
thf(2232,plain,
! [SV176: x_a,SV102: x_a,SV219: x_a,SV45: x_a > $o] :
( ( ( ~ ( SV45 @ SV219 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV219 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2189]) ).
thf(2233,plain,
! [SV45: x_a > $o,SV176: x_a,SV219: x_a,SV102: x_a] :
( ( ( ~ ( insert_a @ SV102 @ bot_bot_a_o @ SV219 ) )
= $false )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV219 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2189]) ).
thf(2234,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV220: x_a,SV54: x_a > $o] :
( ( ( ~ ( SV54 @ SV220 ) )
= $false )
| ( ( SV54 @ SV220 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2190]) ).
thf(2235,plain,
! [SV220: x_a,SV143: pname > $o,SV54: x_a > $o,SV110: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 ) )
= $false )
| ( ( SV54 @ SV220 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2190]) ).
thf(2236,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV220: x_a,SV54: x_a > $o] :
( ( ( ~ ( SV54 @ SV220 ) )
= $false )
| ( ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2191]) ).
thf(2237,plain,
! [SV220: x_a,SV143: pname > $o,SV54: x_a > $o,SV110: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 ) )
= $false )
| ( ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2191]) ).
thf(2238,plain,
! [SV110: pname > x_a,SV197: pname > $o,SV143: pname > $o,SV54: x_a > $o] :
( ( ( SV54 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) )
= $false )
| ( ( ~ ( image_pname_a @ SV110 @ SV197 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) ) )
= $true )
| ( ( ord_less_eq_pname_o @ SV197 @ SV143 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2193]) ).
thf(2239,plain,
! [SV87: x_a,SV30: x_a > $o,SV230: x_a,SV129: x_a > $o] :
( ( ( ~ ( ( SV129 @ SV230 )
| ( SV30 @ SV230 ) )
| ~ ( ~ ( SV129 @ SV230 )
| ~ ( SV30 @ SV230 ) ) )
= $true )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2194]) ).
thf(2240,plain,
! [SV87: x_a,SV30: x_a > $o,SV230: x_a,SV129: x_a > $o] :
( ( ( ( SV129 @ SV230 )
= ( SV30 @ SV230 ) )
= $true )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2194]) ).
thf(2241,plain,
! [SV87: x_a,SV30: x_a > $o,SV129: x_a > $o] :
( ( ( ! [SV232: x_a] :
( ( SV129 @ SV232 )
= ( SV30 @ SV232 ) ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2195]) ).
thf(2242,plain,
! [SV87: x_a,SV30: x_a > $o,SV129: x_a > $o] :
( ( ( SV129 = SV30 )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2195]) ).
thf(2243,plain,
! [SV87: x_a,SV30: x_a > $o,SV226: x_a,SV129: x_a > $o] :
( ( ( SV129 @ SV226 )
= $false )
| ( ( ~ ( ~ ( SV129 @ SV226 )
| ~ ( SV30 @ SV226 ) ) )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2196]) ).
thf(2244,plain,
! [SV87: x_a,SV129: x_a > $o,SV226: x_a,SV30: x_a > $o] :
( ( ( SV30 @ SV226 )
= $false )
| ( ( ~ ( ~ ( SV129 @ SV226 )
| ~ ( SV30 @ SV226 ) ) )
= $true )
| ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2196]) ).
thf(2245,plain,
! [SV30: x_a > $o,SV87: x_a,SV222: x_a,SV129: x_a > $o] :
( ( ( ~ ( SV129 @ SV222 ) )
= $false )
| ( ( SV129 @ SV222 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2197]) ).
thf(2246,plain,
! [SV87: x_a,SV129: x_a > $o,SV222: x_a,SV30: x_a > $o] :
( ( ( ~ ( SV30 @ SV222 ) )
= $false )
| ( ( SV129 @ SV222 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2197]) ).
thf(2247,plain,
! [SV87: x_a,SV30: x_a > $o,SV222: x_a,SV129: x_a > $o] :
( ( ( ~ ( SV129 @ SV222 ) )
= $false )
| ( ( SV30 @ SV222 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2198]) ).
thf(2248,plain,
! [SV129: x_a > $o,SV87: x_a,SV222: x_a,SV30: x_a > $o] :
( ( ( ~ ( SV30 @ SV222 ) )
= $false )
| ( ( SV30 @ SV222 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2198]) ).
thf(2249,plain,
! [SV30: x_a > $o,SV231: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( ( insert_a @ SV87 @ SV129 @ SV231 )
| ( insert_a @ SV87 @ SV30 @ SV231 ) )
| ~ ( ~ ( insert_a @ SV87 @ SV129 @ SV231 )
| ~ ( insert_a @ SV87 @ SV30 @ SV231 ) ) )
= $true )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2199]) ).
thf(2250,plain,
! [SV30: x_a > $o,SV231: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 @ SV231 )
= ( insert_a @ SV87 @ SV30 @ SV231 ) )
= $true )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2199]) ).
thf(2251,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ! [SV233: x_a] :
( ( insert_a @ SV87 @ SV129 @ SV233 )
= ( insert_a @ SV87 @ SV30 @ SV233 ) ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2200]) ).
thf(2252,plain,
! [SV30: x_a > $o,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2200]) ).
thf(2253,plain,
! [SV30: x_a > $o,SV227: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV129 @ SV227 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV87 @ SV129 @ SV227 )
| ~ ( insert_a @ SV87 @ SV30 @ SV227 ) ) )
= $true )
| ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2201]) ).
thf(2254,plain,
! [SV129: x_a > $o,SV227: x_a,SV30: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV30 @ SV227 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV87 @ SV129 @ SV227 )
| ~ ( insert_a @ SV87 @ SV30 @ SV227 ) ) )
= $true )
| ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2201]) ).
thf(2255,plain,
! [SV30: x_a > $o,SV223: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV129 @ SV223 ) )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ SV223 )
= $false )
| ( ( SV129 = SV30 )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2202]) ).
thf(2256,plain,
! [SV129: x_a > $o,SV223: x_a,SV30: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV30 @ SV223 ) )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ SV223 )
= $false )
| ( ( SV129 = SV30 )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2202]) ).
thf(2257,plain,
! [SV30: x_a > $o,SV223: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV129 @ SV223 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ SV223 )
= $false )
| ( ( SV129 = SV30 )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2203]) ).
thf(2258,plain,
! [SV129: x_a > $o,SV223: x_a,SV30: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV30 @ SV223 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ SV223 )
= $false )
| ( ( SV129 = SV30 )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2203]) ).
thf(2259,plain,
! [SV93: x_a,SV132: x_a,SV153: x_a,SV36: x_a] :
( ( ( SV36 != SV153 )
= $false )
| ( ( SV36 = SV132 )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2208]) ).
thf(2260,plain,
! [SV153: x_a,SV36: x_a,SV132: x_a,SV93: x_a] :
( ( ( SV93 != SV132 )
= $false )
| ( ( SV36 = SV132 )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2208]) ).
thf(2261,plain,
! [SV132: x_a,SV93: x_a,SV153: x_a,SV36: x_a] :
( ( ( SV36 != SV153 )
= $false )
| ( ( SV93 = SV153 )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2209]) ).
thf(2262,plain,
! [SV36: x_a,SV153: x_a,SV132: x_a,SV93: x_a] :
( ( ( SV93 != SV132 )
= $false )
| ( ( SV93 = SV153 )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2209]) ).
thf(2263,plain,
! [SV153: x_a,SV132: x_a,SV214: x_a,SV93: x_a,SV36: x_a] :
( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 )
= $false )
| ( ( SV36 = SV132 )
= $false )
| ( ( SV93 = SV153 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2210]) ).
thf(2264,plain,
! [SV93: x_a,SV36: x_a,SV214: x_a,SV153: x_a,SV132: x_a] :
( ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 )
= $false )
| ( ( SV36 = SV132 )
= $false )
| ( ( SV93 = SV153 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2211]) ).
thf(2265,plain,
! [SV153: x_a,SV132: x_a,SV214: x_a,SV93: x_a,SV36: x_a] :
( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV214 )
= $true )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 )
= $false )
| ( ( SV36 = SV132 )
= $false )
| ( ( SV93 = SV153 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2212]) ).
thf(2266,plain,
! [SV93: x_a,SV36: x_a,SV214: x_a,SV153: x_a,SV132: x_a] :
( ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 )
= $true )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV214 )
= $false )
| ( ( SV36 = SV132 )
= $false )
| ( ( SV93 = SV153 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2213]) ).
thf(2267,plain,
! [SV132: x_a,SV153: x_a,SV215: x_a,SV93: x_a,SV36: x_a] :
( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 )
= $false )
| ( ( SV36 = SV153 )
= $false )
| ( ( SV93 = SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2214]) ).
thf(2268,plain,
! [SV93: x_a,SV36: x_a,SV215: x_a,SV153: x_a,SV132: x_a] :
( ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 )
= $false )
| ( ( SV36 = SV153 )
= $false )
| ( ( SV93 = SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2215]) ).
thf(2269,plain,
! [SV153: x_a,SV132: x_a,SV215: x_a,SV93: x_a,SV36: x_a] :
( ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ SV215 )
= $true )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 )
= $false )
| ( ( SV36 = SV153 )
= $false )
| ( ( SV93 = SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2216]) ).
thf(2270,plain,
! [SV93: x_a,SV36: x_a,SV215: x_a,SV153: x_a,SV132: x_a] :
( ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 )
= $true )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ SV215 )
= $false )
| ( ( SV36 = SV153 )
= $false )
| ( ( SV93 = SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2217]) ).
thf(2271,plain,
! [SV102: x_a,SV176: x_a,SV216: x_a,SV45: x_a > $o] :
( ( ( SV45 @ SV216 )
= $true )
| ( ( SV45 @ SV216 )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2218]) ).
thf(2272,plain,
! [SV176: x_a,SV45: x_a > $o,SV216: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV216 )
= $true )
| ( ( SV45 @ SV216 )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2219]) ).
thf(2273,plain,
! [SV176: x_a,SV102: x_a,SV216: x_a,SV45: x_a > $o] :
( ( ( SV45 @ SV216 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV216 )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2220]) ).
thf(2274,plain,
! [SV176: x_a,SV45: x_a > $o,SV216: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV216 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV216 )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2221]) ).
thf(2275,plain,
! [SV102: x_a,SV176: x_a,SV217: x_a,SV45: x_a > $o] :
( ( ( SV45 @ SV217 )
= $true )
| ( ( SV45 @ SV217 )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2222]) ).
thf(2276,plain,
! [SV176: x_a,SV45: x_a > $o,SV217: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV217 )
= $true )
| ( ( SV45 @ SV217 )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2223]) ).
thf(2277,plain,
! [SV176: x_a,SV102: x_a,SV217: x_a,SV45: x_a > $o] :
( ( ( SV45 @ SV217 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV217 )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2224]) ).
thf(2278,plain,
! [SV176: x_a,SV45: x_a > $o,SV217: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV217 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV217 )
= $false )
| ( ( SV45 @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2225]) ).
thf(2279,plain,
! [SV102: x_a,SV176: x_a,SV218: x_a,SV45: x_a > $o] :
( ( ( SV45 @ SV218 )
= $true )
| ( ( SV45 @ SV218 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2226]) ).
thf(2280,plain,
! [SV176: x_a,SV45: x_a > $o,SV218: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV218 )
= $true )
| ( ( SV45 @ SV218 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2227]) ).
thf(2281,plain,
! [SV176: x_a,SV102: x_a,SV218: x_a,SV45: x_a > $o] :
( ( ( SV45 @ SV218 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV218 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2228]) ).
thf(2282,plain,
! [SV45: x_a > $o,SV176: x_a,SV218: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV218 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV218 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( SV45 @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2229]) ).
thf(2283,plain,
! [SV102: x_a,SV176: x_a,SV219: x_a,SV45: x_a > $o] :
( ( ( SV45 @ SV219 )
= $true )
| ( ( SV45 @ SV219 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2230]) ).
thf(2284,plain,
! [SV176: x_a,SV45: x_a > $o,SV219: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV219 )
= $true )
| ( ( SV45 @ SV219 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2231]) ).
thf(2285,plain,
! [SV176: x_a,SV102: x_a,SV219: x_a,SV45: x_a > $o] :
( ( ( SV45 @ SV219 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV219 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2232]) ).
thf(2286,plain,
! [SV45: x_a > $o,SV176: x_a,SV219: x_a,SV102: x_a] :
( ( ( insert_a @ SV102 @ bot_bot_a_o @ SV219 )
= $true )
| ( ( insert_a @ SV102 @ bot_bot_a_o @ SV219 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $false )
| ( ( bot_bot_a_o @ SV176 )
= $true )
| ( ( ord_less_eq_a_o @ SV45 @ ( insert_a @ SV102 @ bot_bot_a_o ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2233]) ).
thf(2287,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV220: x_a,SV54: x_a > $o] :
( ( ( SV54 @ SV220 )
= $true )
| ( ( SV54 @ SV220 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2234]) ).
thf(2288,plain,
! [SV220: x_a,SV143: pname > $o,SV54: x_a > $o,SV110: pname > x_a] :
( ( ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 )
= $true )
| ( ( SV54 @ SV220 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2235]) ).
thf(2289,plain,
! [SV143: pname > $o,SV110: pname > x_a,SV220: x_a,SV54: x_a > $o] :
( ( ( SV54 @ SV220 )
= $true )
| ( ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2236]) ).
thf(2290,plain,
! [SV220: x_a,SV143: pname > $o,SV54: x_a > $o,SV110: pname > x_a] :
( ( ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 )
= $true )
| ( ( image_pname_a @ SV110 @ ( sK18_SY280 @ SV110 @ SV54 @ SV143 ) @ SV220 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2237]) ).
thf(2291,plain,
! [SV54: x_a > $o,SV143: pname > $o,SV197: pname > $o,SV110: pname > x_a] :
( ( ( image_pname_a @ SV110 @ SV197 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) )
= $false )
| ( ( SV54 @ ( sK23_SV221 @ SV143 @ SV197 @ SV110 @ SV54 ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV197 @ SV143 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ ( image_pname_a @ SV110 @ SV143 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2238]) ).
thf(2292,plain,
! [SV87: x_a,SV30: x_a > $o,SV230: x_a,SV129: x_a > $o] :
( ( ( ~ ( ( SV129 @ SV230 )
| ( SV30 @ SV230 ) ) )
= $true )
| ( ( ~ ( ~ ( SV129 @ SV230 )
| ~ ( SV30 @ SV230 ) ) )
= $true )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2239]) ).
thf(2293,plain,
! [SV87: x_a,SV30: x_a > $o,SV234: x_a,SV129: x_a > $o] :
( ( ( ( SV129 @ SV234 )
= ( SV30 @ SV234 ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2241]) ).
thf(2294,plain,
! [SV87: x_a,SV30: x_a > $o,SV226: x_a,SV129: x_a > $o] :
( ( ( ~ ( SV129 @ SV226 )
| ~ ( SV30 @ SV226 ) )
= $false )
| ( ( SV129 @ SV226 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2243]) ).
thf(2295,plain,
! [SV87: x_a,SV30: x_a > $o,SV226: x_a,SV129: x_a > $o] :
( ( ( ~ ( SV129 @ SV226 )
| ~ ( SV30 @ SV226 ) )
= $false )
| ( ( SV30 @ SV226 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2244]) ).
thf(2296,plain,
! [SV30: x_a > $o,SV87: x_a,SV222: x_a,SV129: x_a > $o] :
( ( ( SV129 @ SV222 )
= $true )
| ( ( SV129 @ SV222 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2245]) ).
thf(2297,plain,
! [SV87: x_a,SV129: x_a > $o,SV222: x_a,SV30: x_a > $o] :
( ( ( SV30 @ SV222 )
= $true )
| ( ( SV129 @ SV222 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2246]) ).
thf(2298,plain,
! [SV87: x_a,SV30: x_a > $o,SV222: x_a,SV129: x_a > $o] :
( ( ( SV129 @ SV222 )
= $true )
| ( ( SV30 @ SV222 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2247]) ).
thf(2299,plain,
! [SV129: x_a > $o,SV87: x_a,SV222: x_a,SV30: x_a > $o] :
( ( ( SV30 @ SV222 )
= $true )
| ( ( SV30 @ SV222 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 )
= ( insert_a @ SV87 @ SV30 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2248]) ).
thf(2300,plain,
! [SV30: x_a > $o,SV231: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( ( insert_a @ SV87 @ SV129 @ SV231 )
| ( insert_a @ SV87 @ SV30 @ SV231 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV87 @ SV129 @ SV231 )
| ~ ( insert_a @ SV87 @ SV30 @ SV231 ) ) )
= $true )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2249]) ).
thf(2301,plain,
! [SV30: x_a > $o,SV235: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 @ SV235 )
= ( insert_a @ SV87 @ SV30 @ SV235 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2251]) ).
thf(2302,plain,
! [SV30: x_a > $o,SV227: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV129 @ SV227 )
| ~ ( insert_a @ SV87 @ SV30 @ SV227 ) )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ SV227 )
= $false )
| ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2253]) ).
thf(2303,plain,
! [SV30: x_a > $o,SV227: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV129 @ SV227 )
| ~ ( insert_a @ SV87 @ SV30 @ SV227 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ SV227 )
= $false )
| ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2254]) ).
thf(2304,plain,
! [SV30: x_a > $o,SV223: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV129 @ SV223 )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ SV223 )
= $false )
| ( ( SV129 = SV30 )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2255]) ).
thf(2305,plain,
! [SV129: x_a > $o,SV223: x_a,SV30: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV30 @ SV223 )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ SV223 )
= $false )
| ( ( SV129 = SV30 )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2256]) ).
thf(2306,plain,
! [SV30: x_a > $o,SV223: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV129 @ SV223 )
= $true )
| ( ( insert_a @ SV87 @ SV30 @ SV223 )
= $false )
| ( ( SV129 = SV30 )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2257]) ).
thf(2307,plain,
! [SV129: x_a > $o,SV223: x_a,SV30: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV30 @ SV223 )
= $true )
| ( ( insert_a @ SV87 @ SV30 @ SV223 )
= $false )
| ( ( SV129 = SV30 )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2258]) ).
thf(2308,plain,
! [SV93: x_a,SV132: x_a,SV153: x_a,SV36: x_a] :
( ( ( SV36 = SV153 )
= $true )
| ( ( SV36 = SV132 )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2259]) ).
thf(2309,plain,
! [SV153: x_a,SV36: x_a,SV132: x_a,SV93: x_a] :
( ( ( SV93 = SV132 )
= $true )
| ( ( SV36 = SV132 )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2260]) ).
thf(2310,plain,
! [SV132: x_a,SV93: x_a,SV153: x_a,SV36: x_a] :
( ( ( SV36 = SV153 )
= $true )
| ( ( SV93 = SV153 )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2261]) ).
thf(2311,plain,
! [SV36: x_a,SV153: x_a,SV132: x_a,SV93: x_a] :
( ( ( SV93 = SV132 )
= $true )
| ( ( SV93 = SV153 )
= $true )
| ( ( insert_a @ SV36 @ ( insert_a @ SV93 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false )
| ( ( insert_a @ SV132 @ ( insert_a @ SV153 @ bot_bot_a_o ) @ ( sK20_SV195 @ SV153 @ SV132 @ SV93 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2262]) ).
thf(2312,plain,
! [SV87: x_a,SV30: x_a > $o,SV230: x_a,SV129: x_a > $o] :
( ( ( ( SV129 @ SV230 )
| ( SV30 @ SV230 ) )
= $false )
| ( ( ~ ( ~ ( SV129 @ SV230 )
| ~ ( SV30 @ SV230 ) ) )
= $true )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2292]) ).
thf(2313,plain,
! [SV87: x_a,SV30: x_a > $o,SV234: x_a,SV129: x_a > $o] :
( ( ( ~ ( ( SV129 @ SV234 )
| ( SV30 @ SV234 ) )
| ~ ( ~ ( SV129 @ SV234 )
| ~ ( SV30 @ SV234 ) ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2293]) ).
thf(2314,plain,
! [SV87: x_a,SV30: x_a > $o,SV234: x_a,SV129: x_a > $o] :
( ( ( ( SV129 @ SV234 )
= ( SV30 @ SV234 ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2293]) ).
thf(2315,plain,
! [SV30: x_a > $o,SV87: x_a,SV226: x_a,SV129: x_a > $o] :
( ( ( ~ ( SV129 @ SV226 ) )
= $false )
| ( ( SV129 @ SV226 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2294]) ).
thf(2316,plain,
! [SV87: x_a,SV129: x_a > $o,SV226: x_a,SV30: x_a > $o] :
( ( ( ~ ( SV30 @ SV226 ) )
= $false )
| ( ( SV129 @ SV226 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2294]) ).
thf(2317,plain,
! [SV87: x_a,SV30: x_a > $o,SV226: x_a,SV129: x_a > $o] :
( ( ( ~ ( SV129 @ SV226 ) )
= $false )
| ( ( SV30 @ SV226 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2295]) ).
thf(2318,plain,
! [SV129: x_a > $o,SV87: x_a,SV226: x_a,SV30: x_a > $o] :
( ( ( ~ ( SV30 @ SV226 ) )
= $false )
| ( ( SV30 @ SV226 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2295]) ).
thf(2319,plain,
! [SV30: x_a > $o,SV231: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 @ SV231 )
| ( insert_a @ SV87 @ SV30 @ SV231 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV87 @ SV129 @ SV231 )
| ~ ( insert_a @ SV87 @ SV30 @ SV231 ) ) )
= $true )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2300]) ).
thf(2320,plain,
! [SV30: x_a > $o,SV235: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( ( insert_a @ SV87 @ SV129 @ SV235 )
| ( insert_a @ SV87 @ SV30 @ SV235 ) )
| ~ ( ~ ( insert_a @ SV87 @ SV129 @ SV235 )
| ~ ( insert_a @ SV87 @ SV30 @ SV235 ) ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2301]) ).
thf(2321,plain,
! [SV30: x_a > $o,SV235: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 @ SV235 )
= ( insert_a @ SV87 @ SV30 @ SV235 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2301]) ).
thf(2322,plain,
! [SV30: x_a > $o,SV227: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV129 @ SV227 ) )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ SV227 )
= $false )
| ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2302]) ).
thf(2323,plain,
! [SV129: x_a > $o,SV227: x_a,SV30: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV30 @ SV227 ) )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ SV227 )
= $false )
| ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2302]) ).
thf(2324,plain,
! [SV30: x_a > $o,SV227: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV129 @ SV227 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ SV227 )
= $false )
| ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2303]) ).
thf(2325,plain,
! [SV129: x_a > $o,SV227: x_a,SV30: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV30 @ SV227 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ SV227 )
= $false )
| ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2303]) ).
thf(2326,plain,
! [SV87: x_a,SV30: x_a > $o,SV230: x_a,SV129: x_a > $o] :
( ( ( SV129 @ SV230 )
= $false )
| ( ( ~ ( ~ ( SV129 @ SV230 )
| ~ ( SV30 @ SV230 ) ) )
= $true )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2312]) ).
thf(2327,plain,
! [SV87: x_a,SV129: x_a > $o,SV230: x_a,SV30: x_a > $o] :
( ( ( SV30 @ SV230 )
= $false )
| ( ( ~ ( ~ ( SV129 @ SV230 )
| ~ ( SV30 @ SV230 ) ) )
= $true )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2312]) ).
thf(2328,plain,
! [SV87: x_a,SV30: x_a > $o,SV234: x_a,SV129: x_a > $o] :
( ( ( ~ ( ( SV129 @ SV234 )
| ( SV30 @ SV234 ) ) )
= $true )
| ( ( ~ ( ~ ( SV129 @ SV234 )
| ~ ( SV30 @ SV234 ) ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2313]) ).
thf(2329,plain,
! [SV30: x_a > $o,SV87: x_a,SV226: x_a,SV129: x_a > $o] :
( ( ( SV129 @ SV226 )
= $true )
| ( ( SV129 @ SV226 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2315]) ).
thf(2330,plain,
! [SV87: x_a,SV129: x_a > $o,SV226: x_a,SV30: x_a > $o] :
( ( ( SV30 @ SV226 )
= $true )
| ( ( SV129 @ SV226 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2316]) ).
thf(2331,plain,
! [SV87: x_a,SV30: x_a > $o,SV226: x_a,SV129: x_a > $o] :
( ( ( SV129 @ SV226 )
= $true )
| ( ( SV30 @ SV226 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2317]) ).
thf(2332,plain,
! [SV129: x_a > $o,SV87: x_a,SV226: x_a,SV30: x_a > $o] :
( ( ( SV30 @ SV226 )
= $true )
| ( ( SV30 @ SV226 )
= $false )
| ( ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2318]) ).
thf(2333,plain,
! [SV30: x_a > $o,SV231: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV129 @ SV231 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV87 @ SV129 @ SV231 )
| ~ ( insert_a @ SV87 @ SV30 @ SV231 ) ) )
= $true )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2319]) ).
thf(2334,plain,
! [SV129: x_a > $o,SV231: x_a,SV30: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV30 @ SV231 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV87 @ SV129 @ SV231 )
| ~ ( insert_a @ SV87 @ SV30 @ SV231 ) ) )
= $true )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2319]) ).
thf(2335,plain,
! [SV30: x_a > $o,SV235: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( ( insert_a @ SV87 @ SV129 @ SV235 )
| ( insert_a @ SV87 @ SV30 @ SV235 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV87 @ SV129 @ SV235 )
| ~ ( insert_a @ SV87 @ SV30 @ SV235 ) ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2320]) ).
thf(2336,plain,
! [SV30: x_a > $o,SV227: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV129 @ SV227 )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ SV227 )
= $false )
| ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2322]) ).
thf(2337,plain,
! [SV129: x_a > $o,SV227: x_a,SV30: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV30 @ SV227 )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ SV227 )
= $false )
| ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2323]) ).
thf(2338,plain,
! [SV30: x_a > $o,SV227: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV129 @ SV227 )
= $true )
| ( ( insert_a @ SV87 @ SV30 @ SV227 )
= $false )
| ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2324]) ).
thf(2339,plain,
! [SV129: x_a > $o,SV227: x_a,SV30: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV30 @ SV227 )
= $true )
| ( ( insert_a @ SV87 @ SV30 @ SV227 )
= $false )
| ( ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2325]) ).
thf(2340,plain,
! [SV87: x_a,SV30: x_a > $o,SV230: x_a,SV129: x_a > $o] :
( ( ( ~ ( SV129 @ SV230 )
| ~ ( SV30 @ SV230 ) )
= $false )
| ( ( SV129 @ SV230 )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2326]) ).
thf(2341,plain,
! [SV87: x_a,SV30: x_a > $o,SV230: x_a,SV129: x_a > $o] :
( ( ( ~ ( SV129 @ SV230 )
| ~ ( SV30 @ SV230 ) )
= $false )
| ( ( SV30 @ SV230 )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2327]) ).
thf(2342,plain,
! [SV87: x_a,SV30: x_a > $o,SV234: x_a,SV129: x_a > $o] :
( ( ( ( SV129 @ SV234 )
| ( SV30 @ SV234 ) )
= $false )
| ( ( ~ ( ~ ( SV129 @ SV234 )
| ~ ( SV30 @ SV234 ) ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2328]) ).
thf(2343,plain,
! [SV30: x_a > $o,SV231: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV129 @ SV231 )
| ~ ( insert_a @ SV87 @ SV30 @ SV231 ) )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ SV231 )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2333]) ).
thf(2344,plain,
! [SV30: x_a > $o,SV231: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV129 @ SV231 )
| ~ ( insert_a @ SV87 @ SV30 @ SV231 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ SV231 )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2334]) ).
thf(2345,plain,
! [SV30: x_a > $o,SV235: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ( insert_a @ SV87 @ SV129 @ SV235 )
| ( insert_a @ SV87 @ SV30 @ SV235 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV87 @ SV129 @ SV235 )
| ~ ( insert_a @ SV87 @ SV30 @ SV235 ) ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2335]) ).
thf(2346,plain,
! [SV30: x_a > $o,SV87: x_a,SV230: x_a,SV129: x_a > $o] :
( ( ( ~ ( SV129 @ SV230 ) )
= $false )
| ( ( SV129 @ SV230 )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2340]) ).
thf(2347,plain,
! [SV87: x_a,SV129: x_a > $o,SV230: x_a,SV30: x_a > $o] :
( ( ( ~ ( SV30 @ SV230 ) )
= $false )
| ( ( SV129 @ SV230 )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2340]) ).
thf(2348,plain,
! [SV87: x_a,SV30: x_a > $o,SV230: x_a,SV129: x_a > $o] :
( ( ( ~ ( SV129 @ SV230 ) )
= $false )
| ( ( SV30 @ SV230 )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2341]) ).
thf(2349,plain,
! [SV129: x_a > $o,SV87: x_a,SV230: x_a,SV30: x_a > $o] :
( ( ( ~ ( SV30 @ SV230 ) )
= $false )
| ( ( SV30 @ SV230 )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2341]) ).
thf(2350,plain,
! [SV87: x_a,SV30: x_a > $o,SV234: x_a,SV129: x_a > $o] :
( ( ( SV129 @ SV234 )
= $false )
| ( ( ~ ( ~ ( SV129 @ SV234 )
| ~ ( SV30 @ SV234 ) ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2342]) ).
thf(2351,plain,
! [SV87: x_a,SV129: x_a > $o,SV234: x_a,SV30: x_a > $o] :
( ( ( SV30 @ SV234 )
= $false )
| ( ( ~ ( ~ ( SV129 @ SV234 )
| ~ ( SV30 @ SV234 ) ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2342]) ).
thf(2352,plain,
! [SV30: x_a > $o,SV231: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV129 @ SV231 ) )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ SV231 )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2343]) ).
thf(2353,plain,
! [SV129: x_a > $o,SV231: x_a,SV30: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV30 @ SV231 ) )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ SV231 )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2343]) ).
thf(2354,plain,
! [SV30: x_a > $o,SV231: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV129 @ SV231 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ SV231 )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2344]) ).
thf(2355,plain,
! [SV129: x_a > $o,SV231: x_a,SV30: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV30 @ SV231 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ SV231 )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2344]) ).
thf(2356,plain,
! [SV30: x_a > $o,SV235: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV129 @ SV235 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV87 @ SV129 @ SV235 )
| ~ ( insert_a @ SV87 @ SV30 @ SV235 ) ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2345]) ).
thf(2357,plain,
! [SV129: x_a > $o,SV235: x_a,SV30: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV30 @ SV235 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV87 @ SV129 @ SV235 )
| ~ ( insert_a @ SV87 @ SV30 @ SV235 ) ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2345]) ).
thf(2358,plain,
! [SV30: x_a > $o,SV87: x_a,SV230: x_a,SV129: x_a > $o] :
( ( ( SV129 @ SV230 )
= $true )
| ( ( SV129 @ SV230 )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2346]) ).
thf(2359,plain,
! [SV87: x_a,SV129: x_a > $o,SV230: x_a,SV30: x_a > $o] :
( ( ( SV30 @ SV230 )
= $true )
| ( ( SV129 @ SV230 )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2347]) ).
thf(2360,plain,
! [SV87: x_a,SV30: x_a > $o,SV230: x_a,SV129: x_a > $o] :
( ( ( SV129 @ SV230 )
= $true )
| ( ( SV30 @ SV230 )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2348]) ).
thf(2361,plain,
! [SV129: x_a > $o,SV87: x_a,SV230: x_a,SV30: x_a > $o] :
( ( ( SV30 @ SV230 )
= $true )
| ( ( SV30 @ SV230 )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2349]) ).
thf(2362,plain,
! [SV87: x_a,SV30: x_a > $o,SV234: x_a,SV129: x_a > $o] :
( ( ( ~ ( SV129 @ SV234 )
| ~ ( SV30 @ SV234 ) )
= $false )
| ( ( SV129 @ SV234 )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2350]) ).
thf(2363,plain,
! [SV87: x_a,SV30: x_a > $o,SV234: x_a,SV129: x_a > $o] :
( ( ( ~ ( SV129 @ SV234 )
| ~ ( SV30 @ SV234 ) )
= $false )
| ( ( SV30 @ SV234 )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2351]) ).
thf(2364,plain,
! [SV30: x_a > $o,SV231: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV129 @ SV231 )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ SV231 )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2352]) ).
thf(2365,plain,
! [SV129: x_a > $o,SV231: x_a,SV30: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV30 @ SV231 )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ SV231 )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2353]) ).
thf(2366,plain,
! [SV30: x_a > $o,SV231: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV129 @ SV231 )
= $true )
| ( ( insert_a @ SV87 @ SV30 @ SV231 )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2354]) ).
thf(2367,plain,
! [SV129: x_a > $o,SV231: x_a,SV30: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV30 @ SV231 )
= $true )
| ( ( insert_a @ SV87 @ SV30 @ SV231 )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $true )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2355]) ).
thf(2368,plain,
! [SV30: x_a > $o,SV235: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV129 @ SV235 )
| ~ ( insert_a @ SV87 @ SV30 @ SV235 ) )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ SV235 )
= $false )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2356]) ).
thf(2369,plain,
! [SV30: x_a > $o,SV235: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV129 @ SV235 )
| ~ ( insert_a @ SV87 @ SV30 @ SV235 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ SV235 )
= $false )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2357]) ).
thf(2370,plain,
! [SV30: x_a > $o,SV87: x_a,SV234: x_a,SV129: x_a > $o] :
( ( ( ~ ( SV129 @ SV234 ) )
= $false )
| ( ( SV129 @ SV234 )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2362]) ).
thf(2371,plain,
! [SV87: x_a,SV129: x_a > $o,SV234: x_a,SV30: x_a > $o] :
( ( ( ~ ( SV30 @ SV234 ) )
= $false )
| ( ( SV129 @ SV234 )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2362]) ).
thf(2372,plain,
! [SV87: x_a,SV30: x_a > $o,SV234: x_a,SV129: x_a > $o] :
( ( ( ~ ( SV129 @ SV234 ) )
= $false )
| ( ( SV30 @ SV234 )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2363]) ).
thf(2373,plain,
! [SV129: x_a > $o,SV87: x_a,SV234: x_a,SV30: x_a > $o] :
( ( ( ~ ( SV30 @ SV234 ) )
= $false )
| ( ( SV30 @ SV234 )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2363]) ).
thf(2374,plain,
! [SV30: x_a > $o,SV235: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV129 @ SV235 ) )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ SV235 )
= $false )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2368]) ).
thf(2375,plain,
! [SV129: x_a > $o,SV235: x_a,SV30: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV30 @ SV235 ) )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ SV235 )
= $false )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2368]) ).
thf(2376,plain,
! [SV30: x_a > $o,SV235: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV129 @ SV235 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ SV235 )
= $false )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2369]) ).
thf(2377,plain,
! [SV129: x_a > $o,SV235: x_a,SV30: x_a > $o,SV87: x_a] :
( ( ( ~ ( insert_a @ SV87 @ SV30 @ SV235 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ SV235 )
= $false )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2369]) ).
thf(2378,plain,
! [SV30: x_a > $o,SV87: x_a,SV234: x_a,SV129: x_a > $o] :
( ( ( SV129 @ SV234 )
= $true )
| ( ( SV129 @ SV234 )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2370]) ).
thf(2379,plain,
! [SV87: x_a,SV129: x_a > $o,SV234: x_a,SV30: x_a > $o] :
( ( ( SV30 @ SV234 )
= $true )
| ( ( SV129 @ SV234 )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2371]) ).
thf(2380,plain,
! [SV87: x_a,SV30: x_a > $o,SV234: x_a,SV129: x_a > $o] :
( ( ( SV129 @ SV234 )
= $true )
| ( ( SV30 @ SV234 )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2372]) ).
thf(2381,plain,
! [SV129: x_a > $o,SV87: x_a,SV234: x_a,SV30: x_a > $o] :
( ( ( SV30 @ SV234 )
= $true )
| ( ( SV30 @ SV234 )
= $false )
| ( ( insert_a @ SV87 @ SV129 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( insert_a @ SV87 @ SV30 @ ( sK21_SV203 @ SV30 @ SV129 @ SV87 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2373]) ).
thf(2382,plain,
! [SV30: x_a > $o,SV235: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV129 @ SV235 )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ SV235 )
= $false )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2374]) ).
thf(2383,plain,
! [SV129: x_a > $o,SV235: x_a,SV30: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV30 @ SV235 )
= $true )
| ( ( insert_a @ SV87 @ SV129 @ SV235 )
= $false )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2375]) ).
thf(2384,plain,
! [SV30: x_a > $o,SV235: x_a,SV129: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV129 @ SV235 )
= $true )
| ( ( insert_a @ SV87 @ SV30 @ SV235 )
= $false )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2376]) ).
thf(2385,plain,
! [SV129: x_a > $o,SV235: x_a,SV30: x_a > $o,SV87: x_a] :
( ( ( insert_a @ SV87 @ SV30 @ SV235 )
= $true )
| ( ( insert_a @ SV87 @ SV30 @ SV235 )
= $false )
| ( ( SV129 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( SV30 @ ( sK22_SV204 @ SV87 @ SV30 @ SV129 ) )
= $false )
| ( ( member_a @ SV87 @ SV30 )
= $true )
| ( ( member_a @ SV87 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2377]) ).
thf(2386,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[789,2385,2384,2383,2382,2381,2380,2379,2378,2367,2366,2365,2364,2361,2360,2359,2358,2339,2338,2337,2336,2332,2331,2330,2329,2321,2314,2311,2310,2309,2308,2307,2306,2305,2304,2299,2298,2297,2296,2291,2290,2289,2288,2287,2286,2285,2284,2283,2282,2281,2280,2279,2278,2277,2276,2275,2274,2273,2272,2271,2270,2269,2268,2267,2266,2265,2264,2263,2252,2250,2242,2240,2207,2206,2205,2204,2192,2167,2161,2139,2138,2137,2136,2134,2129,2125,2124,2123,2122,2112,2111,2110,2109,2089,2073,2072,2071,2070,2067,2066,2065,2063,2059,2057,2051,2050,2048,2046,2045,2044,2043,2042,2040,2038,2036,2034,2032,2030,2029,2028,2027,2022,2003,1977,1976,1975,1972,1967,1966,1964,1962,1961,1960,1959,1958,1957,1956,1955,1954,1951,1949,1947,1945,1943,1942,1940,1931,1916,1915,1914,1913,1912,1911,1910,1909,1908,1907,1906,1905,1904,1903,1902,1901,1900,1899,1898,1897,1896,1895,1894,1893,1890,1888,1862,1856,1836,1827,1826,1825,1824,1819,1807,1795,1794,1788,1787,1779,1777,1776,1774,1762,1761,1760,1759,1758,1752,1749,1743,1735,1733,1731,1723,1717,1714,1701,1698,1697,1696,1695,1694,1693,1692,1691,1681,1680,1671,1670,1669,1668,1666,1661,1651,1650,1643,1642,1636,1623,1622,1613,1612,1611,1610,1599,1592,1583,1581,1575,1573,1559,1555,1553,1550,1549,1546,1529,1528,1527,1516,1514,1512,1511,1510,1505,1503,1497,1482,1479,1476,1466,1464,1462,1452,1442,1441,1423,1402,1401,1400,1399,1396,1395,1391,1380,1379,1375,1365,1363,1359,1356,1353,1351,1347,1340,1336,1334,1333,1329,1327,1324,1323,1322,1317,1311,1309,1307,1301,1298,1293,1287,1279,1272,1255,1240,1234,1232,1224,1219,1212,1208,1206,1203,1201,1197,1193,1186,1181,1179,1159,1152,1137,1133,1127,1115,1095,1093,1073,1032,976,973,919,918,917,916,913,909,791,790]) ).
thf(2387,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[2386]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWW473^2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.02 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Oct 6 16:58:15 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.50/2.43 .....
% 13.50/2.43
% 13.50/2.43 No.of.Axioms: 66
% 13.50/2.43
% 13.50/2.43 Length.of.Defs: 0
% 13.50/2.43
% 13.50/2.43 Contains.Choice.Funs: true
% 13.50/2.43 ..........................................
% 13.50/2.43
% 13.50/2.43 ********************************
% 13.50/2.43 * All subproblems solved! *
% 13.50/2.43 ********************************
% 13.50/2.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:66,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:2386,loop_count:0,foatp_calls:1,translation:fof_full)
% 13.50/2.43
% 13.50/2.43 %**** Beginning of derivation protocol ****
% 13.50/2.43 % SZS output start CNFRefutation
% See solution above
% 13.50/2.44
% 13.50/2.44 %**** End of derivation protocol ****
% 13.50/2.44 %**** no. of clauses in derivation: 1735 ****
% 13.50/2.44 %**** clause counter: 2386 ****
% 13.50/2.44
% 13.50/2.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:66,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:2386,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------