%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWW473^1 : 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 : n011.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 11:01:36 AM UTC 2026
% Result : Theorem 6.10s 1.23s
% Output : CNFRefutation 6.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 43
% Syntax : Number of formulae : 900 ( 273 unt; 0 typ; 0 def)
% Number of atoms : 7945 (2722 equ; 0 cnn)
% Maximal formula atoms : 6 ( 8 avg)
% Number of connectives : 12210 (1481 ~;2089 |; 9 &;8493 @)
% ( 24 <=>; 114 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 1669 (1669 >; 0 *; 0 +; 0 <<)
% Number of symbols : 116 ( 113 usr; 4 con; 0-4 aty)
% Number of variables : 2682 ( 30 ^;2649 !; 3 ?;2682 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_nat,type,
nat: $tType ).
thf(tp_pname,type,
pname: $tType ).
thf(tp_x_a,type,
x_a: $tType ).
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_a_o_o_o,type,
collect_a_o_o_o: ( ( ( ( x_a > $o ) > $o ) > $o ) > $o ) > ( ( ( x_a > $o ) > $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_nat_o_o_o,type,
collect_nat_o_o_o: ( ( ( ( nat > $o ) > $o ) > $o ) > $o ) > ( ( ( nat > $o ) > $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_collect_pname_o_o_o,type,
collect_pname_o_o_o: ( ( ( ( pname > $o ) > $o ) > $o ) > $o ) > ( ( ( pname > $o ) > $o ) > $o ) > $o ).
thf(tp_finite1066544169me_o_o,type,
finite1066544169me_o_o: ( ( ( pname > $o ) > $o ) > $o ) > $o ).
thf(tp_finite1237261006_o_o_o,type,
finite1237261006_o_o_o: ( ( ( ( nat > $o ) > $o ) > $o ) > $o ) > $o ).
thf(tp_finite1302365357_o_o_o,type,
finite1302365357_o_o_o: ( ( ( ( x_a > $o ) > $o ) > $o ) > $o ) > $o ).
thf(tp_finite1648353812_o_o_o,type,
finite1648353812_o_o_o: ( ( ( ( pname > $o ) > $o ) > $o ) > $o ) > $o ).
thf(tp_finite1676163439at_o_o,type,
finite1676163439at_o_o: ( ( ( nat > $o ) > $o ) > $o ) > $o ).
thf(tp_finite221134632me_o_o,type,
finite221134632me_o_o: ( ( ( pname > $o ) > $o ) > $o ) > nat ).
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_a_o_o,type,
finite_card_a_o_o: ( ( ( x_a > $o ) > $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_nat_o_o,type,
finite_card_nat_o_o: ( ( ( nat > $o ) > $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_471733107_pname,type,
image_471733107_pname: ( ( ( pname > $o ) > $o ) > pname ) > ( ( ( pname > $o ) > $o ) > $o ) > pname > $o ).
thf(tp_image_504089495me_o_o,type,
image_504089495me_o_o: ( pname > ( pname > $o ) > $o ) > ( pname > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(tp_image_a_a,type,
image_a_a: ( x_a > x_a ) > ( x_a > $o ) > x_a > $o ).
thf(tp_image_a_nat,type,
image_a_nat: ( x_a > nat ) > ( x_a > $o ) > nat > $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_o_a,type,
image_a_o_o_a: ( ( ( x_a > $o ) > $o ) > x_a ) > ( ( ( x_a > $o ) > $o ) > $o ) > x_a > $o ).
thf(tp_image_a_o_o_nat,type,
image_a_o_o_nat: ( ( ( x_a > $o ) > $o ) > nat ) > ( ( ( x_a > $o ) > $o ) > $o ) > nat > $o ).
thf(tp_image_a_o_o_pname,type,
image_a_o_o_pname: ( ( ( x_a > $o ) > $o ) > pname ) > ( ( ( x_a > $o ) > $o ) > $o ) > pname > $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_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_a_o_o,type,
image_nat_a_o_o: ( nat > ( x_a > $o ) > $o ) > ( nat > $o ) > ( ( x_a > $o ) > $o ) > $o ).
thf(tp_image_nat_nat_o,type,
image_nat_nat_o: ( nat > nat > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).
thf(tp_image_nat_nat_o_o,type,
image_nat_nat_o_o: ( nat > ( nat > $o ) > $o ) > ( nat > $o ) > ( ( nat > $o ) > $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_o_a,type,
image_nat_o_o_a: ( ( ( nat > $o ) > $o ) > x_a ) > ( ( ( nat > $o ) > $o ) > $o ) > x_a > $o ).
thf(tp_image_nat_o_o_nat,type,
image_nat_o_o_nat: ( ( ( nat > $o ) > $o ) > nat ) > ( ( ( nat > $o ) > $o ) > $o ) > nat > $o ).
thf(tp_image_nat_o_o_pname,type,
image_nat_o_o_pname: ( ( ( nat > $o ) > $o ) > pname ) > ( ( ( nat > $o ) > $o ) > $o ) > pname > $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_nat_pname_o_o,type,
image_nat_pname_o_o: ( nat > ( pname > $o ) > $o ) > ( nat > $o ) > ( ( pname > $o ) > $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_a_o_o,type,
image_pname_a_o_o: ( pname > ( x_a > $o ) > $o ) > ( pname > $o ) > ( ( x_a > $o ) > $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_nat_o_o,type,
image_pname_nat_o_o: ( pname > ( nat > $o ) > $o ) > ( pname > $o ) > ( ( nat > $o ) > $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_o_a,type,
image_pname_o_o_a: ( ( ( pname > $o ) > $o ) > x_a ) > ( ( ( pname > $o ) > $o ) > $o ) > x_a > $o ).
thf(tp_image_pname_o_o_nat,type,
image_pname_o_o_nat: ( ( ( pname > $o ) > $o ) > nat ) > ( ( ( pname > $o ) > $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_a_o_o,type,
insert_a_o_o: ( ( x_a > $o ) > $o ) > ( ( ( x_a > $o ) > $o ) > $o ) > ( ( x_a > $o ) > $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_nat_o_o,type,
insert_nat_o_o: ( ( nat > $o ) > $o ) > ( ( ( nat > $o ) > $o ) > $o ) > ( ( nat > $o ) > $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_insert_pname_o_o,type,
insert_pname_o_o: ( ( pname > $o ) > $o ) > ( ( ( pname > $o ) > $o ) > $o ) > ( ( pname > $o ) > $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_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_ord_le1205211808me_o_o,type,
ord_le1205211808me_o_o: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(tp_ord_le124054423_o_o_o,type,
ord_le124054423_o_o_o: ( ( ( nat > $o ) > $o ) > $o ) > ( ( ( nat > $o ) > $o ) > $o ) > $o ).
thf(tp_ord_le1828183645_o_o_o,type,
ord_le1828183645_o_o_o: ( ( ( pname > $o ) > $o ) > $o ) > ( ( ( pname > $o ) > $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_a_o_o_o,type,
ord_less_eq_a_o_o_o: ( ( ( x_a > $o ) > $o ) > $o ) > ( ( ( x_a > $o ) > $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_pname_o,type,
ord_less_eq_pname_o: ( pname > $o ) > ( pname > $o ) > $o ).
thf(tp_p,type,
p: ( x_a > $o ) > ( x_a > $o ) > $o ).
thf(tp_pn,type,
pn: pname ).
thf(tp_sK1_SY159,type,
sK1_SY159: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK2_SV103,type,
sK2_SV103: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK3_SV104,type,
sK3_SV104: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK4_SV106,type,
sK4_SV106: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK5_SV111,type,
sK5_SV111: ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK6_SY182,type,
sK6_SY182: ( pname > x_a ) > ( x_a > $o ) > ( pname > $o ) > pname > $o ).
thf(tp_sK7_SV116,type,
sK7_SV116: ( x_a > $o ) > ( x_a > $o ) > x_a > x_a ).
thf(tp_sK8_SV117,type,
sK8_SV117: x_a > ( x_a > $o ) > ( x_a > $o ) > x_a ).
thf(tp_sK9_SV122,type,
sK9_SV122: ( pname > $o ) > ( pname > $o ) > ( pname > x_a ) > ( x_a > $o ) > x_a ).
thf(tp_suc,type,
suc: nat > nat ).
thf(tp_u,type,
u: pname > $o ).
thf(2,axiom,
! [X_1: x_a > $o] : ( ord_less_eq_a_o @ X_1 @ X_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_298_order__refl) ).
thf(10,axiom,
! [B_1: x_a > $o,A_1: x_a > $o] :
( ! [X: x_a] :
( ( member_a @ X @ A_1 )
=> ( member_a @ X @ B_1 ) )
=> ( ord_less_eq_a_o @ A_1 @ B_1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_290_subsetI) ).
thf(13,axiom,
! [F_2: pname > x_a,A_3: pname > $o,B_3: pname > $o] :
( ( ord_less_eq_pname_o @ A_3 @ B_3 )
=> ( ord_less_eq_a_o @ ( image_pname_a @ F_2 @ A_3 ) @ ( image_pname_a @ F_2 @ B_3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_287_image__mono) ).
thf(14,axiom,
! [B_4: x_a > $o,F_3: pname > x_a,A_4: pname > $o] :
( ( ord_less_eq_a_o @ B_4 @ ( image_pname_a @ F_3 @ A_4 ) )
<=> ? [AA: pname > $o] :
( ( ord_less_eq_pname_o @ AA @ A_4 )
& ( B_4
= ( image_pname_a @ F_3 @ AA ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_286_subset__image__iff) ).
thf(15,axiom,
! [F_4: pname > x_a,X_2: pname,A_5: pname > $o] :
( ( member_pname @ X_2 @ A_5 )
=> ( ( insert_a @ ( F_4 @ X_2 ) @ ( image_pname_a @ F_4 @ A_5 ) )
= ( image_pname_a @ F_4 @ A_5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_285_insert__image) ).
thf(16,axiom,
! [F_5: pname > x_a,A_6: pname,B_5: pname > $o] :
( ( image_pname_a @ F_5 @ ( insert_pname @ A_6 @ B_5 ) )
= ( insert_a @ ( F_5 @ A_6 ) @ ( image_pname_a @ F_5 @ B_5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_284_image__insert) ).
thf(17,axiom,
! [A_7: x_a,C: x_a > $o,D: x_a > $o] :
( ( ord_less_eq_a_o @ C @ D )
=> ( ord_less_eq_a_o @ ( insert_a @ A_7 @ C ) @ ( insert_a @ A_7 @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_283_insert__mono) ).
thf(20,axiom,
! [B_7: x_a,A_8: x_a > $o,B_6: x_a > $o] :
( ( ord_less_eq_a_o @ A_8 @ B_6 )
=> ( ord_less_eq_a_o @ A_8 @ ( insert_a @ B_7 @ B_6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_280_subset__insertI2) ).
thf(23,axiom,
! [B_8: x_a > $o,X_3: x_a,A_9: x_a > $o] :
( ~ ( member_a @ X_3 @ A_9 )
=> ( ( ord_less_eq_a_o @ A_9 @ ( insert_a @ X_3 @ B_8 ) )
<=> ( ord_less_eq_a_o @ A_9 @ B_8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_277_subset__insert) ).
thf(26,axiom,
! [X_4: x_a,A_10: x_a > $o,B_9: x_a > $o] :
( ( ord_less_eq_a_o @ ( insert_a @ X_4 @ A_10 ) @ B_9 )
<=> ( ( member_a @ X_4 @ B_9 )
& ( ord_less_eq_a_o @ A_10 @ B_9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_274_insert__subset) ).
thf(29,axiom,
! [B_10: x_a > $o,A_11: x_a] : ( ord_less_eq_a_o @ B_10 @ ( insert_a @ A_11 @ B_10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_271_subset__insertI) ).
thf(49,axiom,
! [A_16: x_a > $o,B_12: x_a > $o] :
( ( A_16 = B_12 )
=> ~ ( ( ord_less_eq_a_o @ A_16 @ B_12 )
=> ~ ( ord_less_eq_a_o @ B_12 @ A_16 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_251_equalityE) ).
thf(52,axiom,
! [C_1: x_a > $o,A_17: x_a > $o,B_13: x_a > $o] :
( ( ord_less_eq_a_o @ A_17 @ B_13 )
=> ( ( ord_less_eq_a_o @ B_13 @ C_1 )
=> ( ord_less_eq_a_o @ A_17 @ C_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_248_subset__trans) ).
thf(56,axiom,
! [X_8: x_a,A_18: x_a > $o,B_14: x_a > $o] :
( ( ord_less_eq_a_o @ A_18 @ B_14 )
=> ( ( member_a @ X_8 @ A_18 )
=> ( member_a @ X_8 @ B_14 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_244_set__mp) ).
thf(59,axiom,
! [B_15: x_a > $o,X_9: x_a,A_19: x_a > $o] :
( ( member_a @ X_9 @ A_19 )
=> ( ( ord_less_eq_a_o @ A_19 @ B_15 )
=> ( member_a @ X_9 @ B_15 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_241_set__rev__mp) ).
thf(62,axiom,
! [X_10: x_a,A_20: x_a > $o,B_16: x_a > $o] :
( ( ord_less_eq_a_o @ A_20 @ B_16 )
=> ( ( member_a @ X_10 @ A_20 )
=> ( member_a @ X_10 @ B_16 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_238_in__mono) ).
thf(64,axiom,
! [A_21: x_a > $o,B_17: x_a > $o] :
( ( A_21 = B_17 )
=> ( ord_less_eq_a_o @ B_17 @ A_21 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_236_equalityD2) ).
thf(67,axiom,
! [A_22: x_a > $o,B_18: x_a > $o] :
( ( A_22 = B_18 )
=> ( ord_less_eq_a_o @ A_22 @ B_18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_233_equalityD1) ).
thf(70,axiom,
! [A_23: x_a > $o,B_19: x_a > $o] :
( ( A_23 = B_19 )
<=> ( ( ord_less_eq_a_o @ A_23 @ B_19 )
& ( ord_less_eq_a_o @ B_19 @ A_23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_230_set__eq__subset) ).
thf(73,axiom,
! [A_24: x_a > $o] : ( ord_less_eq_a_o @ A_24 @ A_24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_227_subset__refl) ).
thf(76,axiom,
! [A_26: x_a,A_25: x_a > $o] :
( ( member_a @ A_26 @ A_25 )
=> ( ( insert_a @ A_26 @ A_25 )
= A_25 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_224_insert__absorb) ).
thf(79,axiom,
! [B_21: x_a,A_27: x_a,B_20: x_a > $o] :
( ( member_a @ A_27 @ B_20 )
=> ( member_a @ A_27 @ ( insert_a @ B_21 @ B_20 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_221_insertI2) ).
thf(82,axiom,
! [B_22: x_a > $o,X_11: x_a,A_28: x_a > $o] :
( ~ ( member_a @ X_11 @ A_28 )
=> ( ~ ( member_a @ X_11 @ B_22 )
=> ( ( ( insert_a @ X_11 @ A_28 )
= ( insert_a @ X_11 @ B_22 ) )
<=> ( A_28 = B_22 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_218_insert__ident) ).
thf(85,axiom,
! [Y_1: x_a,A_29: x_a > $o,X_12: x_a] :
( ( insert_a @ Y_1 @ A_29 @ X_12 )
<=> ( ( Y_1 = X_12 )
| ( A_29 @ X_12 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_215_insert__code) ).
thf(88,axiom,
! [A_31: x_a,B_23: x_a,A_30: x_a > $o] :
( ( member_a @ A_31 @ ( insert_a @ B_23 @ A_30 ) )
<=> ( ( A_31 = B_23 )
| ( member_a @ A_31 @ A_30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_212_insert__iff) ).
thf(91,axiom,
! [X_13: x_a,Y_2: x_a,A_32: x_a > $o] :
( ( insert_a @ X_13 @ ( insert_a @ Y_2 @ A_32 ) )
= ( insert_a @ Y_2 @ ( insert_a @ X_13 @ A_32 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_209_insert__commute) ).
thf(94,axiom,
! [X_14: x_a,A_33: x_a > $o] :
( ( insert_a @ X_14 @ ( insert_a @ X_14 @ A_33 ) )
= ( insert_a @ X_14 @ A_33 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_206_insert__absorb2) ).
thf(100,axiom,
! [A_34: x_a,P_2: x_a > $o] :
( ( insert_a @ A_34 @ ( collect_a @ P_2 ) )
= ( collect_a
@ ^ [U: x_a] :
( ( U != A_34 )
=> ( P_2 @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_200_insert__Collect) ).
thf(109,axiom,
! [A_36: x_a,B_25: x_a > $o] : ( member_a @ A_36 @ ( insert_a @ A_36 @ B_25 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_191_insertI1) ).
thf(112,axiom,
! [A_38: x_a,B_26: x_a,A_37: x_a > $o] :
( ( member_a @ A_38 @ ( insert_a @ B_26 @ A_37 ) )
=> ( ( A_38 != B_26 )
=> ( member_a @ A_38 @ A_37 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_188_insertE) ).
thf(115,axiom,
! [B_28: x_a,A_39: x_a,B_27: x_a > $o] :
( ( ~ ( member_a @ A_39 @ B_27 )
=> ( A_39 = B_28 ) )
=> ( member_a @ A_39 @ ( insert_a @ B_28 @ B_27 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_185_insertCI) ).
thf(119,axiom,
! [C_2: x_a,A_40: x_a > $o,B_29: x_a > $o] :
( ( ord_less_eq_a_o @ A_40 @ B_29 )
=> ( ( member_a @ C_2 @ A_40 )
=> ( member_a @ C_2 @ B_29 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_181_subsetD) ).
thf(121,axiom,
! [A_41: x_a > $o,B_30: x_a > $o] :
( ( ord_less_eq_a_o @ A_41 @ B_30 )
=> ( ( ord_less_eq_a_o @ B_30 @ A_41 )
=> ( A_41 = B_30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_179_equalityI) ).
thf(151,axiom,
! [A_47: x_a > $o,B_34: x_a > $o] :
( ( finite_finite_a @ B_34 )
=> ( ( ord_less_eq_a_o @ A_47 @ B_34 )
=> ( finite_finite_a @ A_47 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_149_rev__finite__subset) ).
thf(157,axiom,
! [A_48: x_a > $o,B_35: x_a > $o] :
( ( ord_less_eq_a_o @ A_48 @ B_35 )
=> ( ( finite_finite_a @ B_35 )
=> ( finite_finite_a @ A_48 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_143_finite__subset) ).
thf(163,axiom,
! [A_50: x_a,A_49: x_a > $o] :
( ( finite_finite_a @ ( insert_a @ A_50 @ A_49 ) )
<=> ( finite_finite_a @ A_49 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_137_finite__insert) ).
thf(255,axiom,
! [A_58: x_a,A_57: x_a > $o] :
( ( finite_finite_a @ A_57 )
=> ( finite_finite_a @ ( insert_a @ A_58 @ A_57 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_finite_OinsertI) ).
thf(300,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(301,axiom,
~ ( member_a @ ( mgt_call @ pn ) @ g ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).
thf(302,axiom,
member_pname @ pn @ u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
thf(305,axiom,
ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(306,axiom,
finite_finite_pname @ u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(307,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(308,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)],[307]) ).
thf(309,plain,
( ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) )
= $false ),
inference(unfold_def,[status(thm)],[308]) ).
thf(310,plain,
( ( ! [X_1: x_a > $o] : ( ord_less_eq_a_o @ X_1 @ X_1 ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(311,plain,
( ( ! [B_1: x_a > $o,A_1: x_a > $o] :
( ! [X: x_a] :
( ( member_a @ X @ A_1 )
=> ( member_a @ X @ B_1 ) )
=> ( ord_less_eq_a_o @ A_1 @ B_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(312,plain,
( ( ! [F_2: pname > x_a,A_3: pname > $o,B_3: pname > $o] :
( ( ord_less_eq_pname_o @ A_3 @ B_3 )
=> ( ord_less_eq_a_o @ ( image_pname_a @ F_2 @ A_3 ) @ ( image_pname_a @ F_2 @ B_3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(313,plain,
( ( ! [B_4: x_a > $o,F_3: pname > x_a,A_4: pname > $o] :
( ( ord_less_eq_a_o @ B_4 @ ( image_pname_a @ F_3 @ A_4 ) )
<=> ? [AA: pname > $o] :
( ( ord_less_eq_pname_o @ AA @ A_4 )
& ( B_4
= ( image_pname_a @ F_3 @ AA ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(314,plain,
( ( ! [F_4: pname > x_a,X_2: pname,A_5: pname > $o] :
( ( member_pname @ X_2 @ A_5 )
=> ( ( insert_a @ ( F_4 @ X_2 ) @ ( image_pname_a @ F_4 @ A_5 ) )
= ( image_pname_a @ F_4 @ A_5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(315,plain,
( ( ! [F_5: pname > x_a,A_6: pname,B_5: pname > $o] :
( ( image_pname_a @ F_5 @ ( insert_pname @ A_6 @ B_5 ) )
= ( insert_a @ ( F_5 @ A_6 ) @ ( image_pname_a @ F_5 @ B_5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(316,plain,
( ( ! [A_7: x_a,C: x_a > $o,D: x_a > $o] :
( ( ord_less_eq_a_o @ C @ D )
=> ( ord_less_eq_a_o @ ( insert_a @ A_7 @ C ) @ ( insert_a @ A_7 @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(317,plain,
( ( ! [B_7: x_a,A_8: x_a > $o,B_6: x_a > $o] :
( ( ord_less_eq_a_o @ A_8 @ B_6 )
=> ( ord_less_eq_a_o @ A_8 @ ( insert_a @ B_7 @ B_6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(318,plain,
( ( ! [B_8: x_a > $o,X_3: x_a,A_9: x_a > $o] :
( ~ ( member_a @ X_3 @ A_9 )
=> ( ( ord_less_eq_a_o @ A_9 @ ( insert_a @ X_3 @ B_8 ) )
<=> ( ord_less_eq_a_o @ A_9 @ B_8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(319,plain,
( ( ! [X_4: x_a,A_10: x_a > $o,B_9: x_a > $o] :
( ( ord_less_eq_a_o @ ( insert_a @ X_4 @ A_10 ) @ B_9 )
<=> ( ( member_a @ X_4 @ B_9 )
& ( ord_less_eq_a_o @ A_10 @ B_9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(320,plain,
( ( ! [B_10: x_a > $o,A_11: x_a] : ( ord_less_eq_a_o @ B_10 @ ( insert_a @ A_11 @ B_10 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(321,plain,
( ( ! [A_16: x_a > $o,B_12: x_a > $o] :
( ( A_16 = B_12 )
=> ~ ( ( ord_less_eq_a_o @ A_16 @ B_12 )
=> ~ ( ord_less_eq_a_o @ B_12 @ A_16 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(322,plain,
( ( ! [C_1: x_a > $o,A_17: x_a > $o,B_13: x_a > $o] :
( ( ord_less_eq_a_o @ A_17 @ B_13 )
=> ( ( ord_less_eq_a_o @ B_13 @ C_1 )
=> ( ord_less_eq_a_o @ A_17 @ C_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(323,plain,
( ( ! [X_8: x_a,A_18: x_a > $o,B_14: x_a > $o] :
( ( ord_less_eq_a_o @ A_18 @ B_14 )
=> ( ( member_a @ X_8 @ A_18 )
=> ( member_a @ X_8 @ B_14 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(324,plain,
( ( ! [B_15: x_a > $o,X_9: x_a,A_19: x_a > $o] :
( ( member_a @ X_9 @ A_19 )
=> ( ( ord_less_eq_a_o @ A_19 @ B_15 )
=> ( member_a @ X_9 @ B_15 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(325,plain,
( ( ! [X_10: x_a,A_20: x_a > $o,B_16: x_a > $o] :
( ( ord_less_eq_a_o @ A_20 @ B_16 )
=> ( ( member_a @ X_10 @ A_20 )
=> ( member_a @ X_10 @ B_16 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(326,plain,
( ( ! [A_21: x_a > $o,B_17: x_a > $o] :
( ( A_21 = B_17 )
=> ( ord_less_eq_a_o @ B_17 @ A_21 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(327,plain,
( ( ! [A_22: x_a > $o,B_18: x_a > $o] :
( ( A_22 = B_18 )
=> ( ord_less_eq_a_o @ A_22 @ B_18 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(328,plain,
( ( ! [A_23: x_a > $o,B_19: x_a > $o] :
( ( A_23 = B_19 )
<=> ( ( ord_less_eq_a_o @ A_23 @ B_19 )
& ( ord_less_eq_a_o @ B_19 @ A_23 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(329,plain,
( ( ! [A_24: x_a > $o] : ( ord_less_eq_a_o @ A_24 @ A_24 ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(330,plain,
( ( ! [A_26: x_a,A_25: x_a > $o] :
( ( member_a @ A_26 @ A_25 )
=> ( ( insert_a @ A_26 @ A_25 )
= A_25 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(331,plain,
( ( ! [B_21: x_a,A_27: x_a,B_20: x_a > $o] :
( ( member_a @ A_27 @ B_20 )
=> ( member_a @ A_27 @ ( insert_a @ B_21 @ B_20 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(332,plain,
( ( ! [B_22: x_a > $o,X_11: x_a,A_28: x_a > $o] :
( ~ ( member_a @ X_11 @ A_28 )
=> ( ~ ( member_a @ X_11 @ B_22 )
=> ( ( ( insert_a @ X_11 @ A_28 )
= ( insert_a @ X_11 @ B_22 ) )
<=> ( A_28 = B_22 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(333,plain,
( ( ! [Y_1: x_a,A_29: x_a > $o,X_12: x_a] :
( ( insert_a @ Y_1 @ A_29 @ X_12 )
<=> ( ( Y_1 = X_12 )
| ( A_29 @ X_12 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(334,plain,
( ( ! [A_31: x_a,B_23: x_a,A_30: x_a > $o] :
( ( member_a @ A_31 @ ( insert_a @ B_23 @ A_30 ) )
<=> ( ( A_31 = B_23 )
| ( member_a @ A_31 @ A_30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(335,plain,
( ( ! [X_13: x_a,Y_2: x_a,A_32: x_a > $o] :
( ( insert_a @ X_13 @ ( insert_a @ Y_2 @ A_32 ) )
= ( insert_a @ Y_2 @ ( insert_a @ X_13 @ A_32 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(336,plain,
( ( ! [X_14: x_a,A_33: x_a > $o] :
( ( insert_a @ X_14 @ ( insert_a @ X_14 @ A_33 ) )
= ( insert_a @ X_14 @ A_33 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(337,plain,
( ( ! [A_34: x_a,P_2: x_a > $o] :
( ( insert_a @ A_34 @ ( collect_a @ P_2 ) )
= ( collect_a
@ ^ [U: x_a] :
( ( U != A_34 )
=> ( P_2 @ U ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(338,plain,
( ( ! [A_36: x_a,B_25: x_a > $o] : ( member_a @ A_36 @ ( insert_a @ A_36 @ B_25 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(339,plain,
( ( ! [A_38: x_a,B_26: x_a,A_37: x_a > $o] :
( ( member_a @ A_38 @ ( insert_a @ B_26 @ A_37 ) )
=> ( ( A_38 != B_26 )
=> ( member_a @ A_38 @ A_37 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(340,plain,
( ( ! [B_28: x_a,A_39: x_a,B_27: x_a > $o] :
( ( ~ ( member_a @ A_39 @ B_27 )
=> ( A_39 = B_28 ) )
=> ( member_a @ A_39 @ ( insert_a @ B_28 @ B_27 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(341,plain,
( ( ! [C_2: x_a,A_40: x_a > $o,B_29: x_a > $o] :
( ( ord_less_eq_a_o @ A_40 @ B_29 )
=> ( ( member_a @ C_2 @ A_40 )
=> ( member_a @ C_2 @ B_29 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(342,plain,
( ( ! [A_41: x_a > $o,B_30: x_a > $o] :
( ( ord_less_eq_a_o @ A_41 @ B_30 )
=> ( ( ord_less_eq_a_o @ B_30 @ A_41 )
=> ( A_41 = B_30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(343,plain,
( ( ! [A_47: x_a > $o,B_34: x_a > $o] :
( ( finite_finite_a @ B_34 )
=> ( ( ord_less_eq_a_o @ A_47 @ B_34 )
=> ( finite_finite_a @ A_47 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(344,plain,
( ( ! [A_48: x_a > $o,B_35: x_a > $o] :
( ( ord_less_eq_a_o @ A_48 @ B_35 )
=> ( ( finite_finite_a @ B_35 )
=> ( finite_finite_a @ A_48 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(345,plain,
( ( ! [A_50: x_a,A_49: x_a > $o] :
( ( finite_finite_a @ ( insert_a @ A_50 @ A_49 ) )
<=> ( finite_finite_a @ A_49 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(346,plain,
( ( ! [A_58: x_a,A_57: x_a > $o] :
( ( finite_finite_a @ A_57 )
=> ( finite_finite_a @ ( insert_a @ A_58 @ A_57 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[255]) ).
thf(347,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)],[300]) ).
thf(348,plain,
( ( ~ ( member_a @ ( mgt_call @ pn ) @ g ) )
= $true ),
inference(unfold_def,[status(thm)],[301]) ).
thf(349,plain,
( ( member_pname @ pn @ u )
= $true ),
inference(unfold_def,[status(thm)],[302]) ).
thf(350,plain,
( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
= $true ),
inference(unfold_def,[status(thm)],[305]) ).
thf(351,plain,
( ( finite_finite_pname @ u )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(352,plain,
( ( ~ ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[309]) ).
thf(353,plain,
( ( finite_finite_pname @ u )
= $true ),
inference(copy,[status(thm)],[351]) ).
thf(354,plain,
( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
= $true ),
inference(copy,[status(thm)],[350]) ).
thf(355,plain,
( ( member_pname @ pn @ u )
= $true ),
inference(copy,[status(thm)],[349]) ).
thf(356,plain,
( ( ~ ( member_a @ ( mgt_call @ pn ) @ g ) )
= $true ),
inference(copy,[status(thm)],[348]) ).
thf(357,plain,
( ( ! [Ts: x_a > $o,G: x_a > $o] :
( ( ord_less_eq_a_o @ Ts @ G )
=> ( p @ G @ Ts ) ) )
= $true ),
inference(copy,[status(thm)],[347]) ).
thf(358,plain,
( ( ! [A_58: x_a,A_57: x_a > $o] :
( ( finite_finite_a @ A_57 )
=> ( finite_finite_a @ ( insert_a @ A_58 @ A_57 ) ) ) )
= $true ),
inference(copy,[status(thm)],[346]) ).
thf(359,plain,
( ( ! [A_50: x_a,A_49: x_a > $o] :
( ( finite_finite_a @ ( insert_a @ A_50 @ A_49 ) )
<=> ( finite_finite_a @ A_49 ) ) )
= $true ),
inference(copy,[status(thm)],[345]) ).
thf(360,plain,
( ( ! [A_48: x_a > $o,B_35: x_a > $o] :
( ( ord_less_eq_a_o @ A_48 @ B_35 )
=> ( ( finite_finite_a @ B_35 )
=> ( finite_finite_a @ A_48 ) ) ) )
= $true ),
inference(copy,[status(thm)],[344]) ).
thf(361,plain,
( ( ! [A_47: x_a > $o,B_34: x_a > $o] :
( ( finite_finite_a @ B_34 )
=> ( ( ord_less_eq_a_o @ A_47 @ B_34 )
=> ( finite_finite_a @ A_47 ) ) ) )
= $true ),
inference(copy,[status(thm)],[343]) ).
thf(362,plain,
( ( ! [A_41: x_a > $o,B_30: x_a > $o] :
( ( ord_less_eq_a_o @ A_41 @ B_30 )
=> ( ( ord_less_eq_a_o @ B_30 @ A_41 )
=> ( A_41 = B_30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[342]) ).
thf(363,plain,
( ( ! [C_2: x_a,A_40: x_a > $o,B_29: x_a > $o] :
( ( ord_less_eq_a_o @ A_40 @ B_29 )
=> ( ( member_a @ C_2 @ A_40 )
=> ( member_a @ C_2 @ B_29 ) ) ) )
= $true ),
inference(copy,[status(thm)],[341]) ).
thf(364,plain,
( ( ! [B_28: x_a,A_39: x_a,B_27: x_a > $o] :
( ( ~ ( member_a @ A_39 @ B_27 )
=> ( A_39 = B_28 ) )
=> ( member_a @ A_39 @ ( insert_a @ B_28 @ B_27 ) ) ) )
= $true ),
inference(copy,[status(thm)],[340]) ).
thf(365,plain,
( ( ! [A_38: x_a,B_26: x_a,A_37: x_a > $o] :
( ( member_a @ A_38 @ ( insert_a @ B_26 @ A_37 ) )
=> ( ( A_38 != B_26 )
=> ( member_a @ A_38 @ A_37 ) ) ) )
= $true ),
inference(copy,[status(thm)],[339]) ).
thf(366,plain,
( ( ! [A_36: x_a,B_25: x_a > $o] : ( member_a @ A_36 @ ( insert_a @ A_36 @ B_25 ) ) )
= $true ),
inference(copy,[status(thm)],[338]) ).
thf(367,plain,
( ( ! [A_34: x_a,P_2: x_a > $o] :
( ( insert_a @ A_34 @ ( collect_a @ P_2 ) )
= ( collect_a
@ ^ [U: x_a] :
( ( U != A_34 )
=> ( P_2 @ U ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[337]) ).
thf(368,plain,
( ( ! [X_14: x_a,A_33: x_a > $o] :
( ( insert_a @ X_14 @ ( insert_a @ X_14 @ A_33 ) )
= ( insert_a @ X_14 @ A_33 ) ) )
= $true ),
inference(copy,[status(thm)],[336]) ).
thf(369,plain,
( ( ! [X_13: x_a,Y_2: x_a,A_32: x_a > $o] :
( ( insert_a @ X_13 @ ( insert_a @ Y_2 @ A_32 ) )
= ( insert_a @ Y_2 @ ( insert_a @ X_13 @ A_32 ) ) ) )
= $true ),
inference(copy,[status(thm)],[335]) ).
thf(370,plain,
( ( ! [A_31: x_a,B_23: x_a,A_30: x_a > $o] :
( ( member_a @ A_31 @ ( insert_a @ B_23 @ A_30 ) )
<=> ( ( A_31 = B_23 )
| ( member_a @ A_31 @ A_30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[334]) ).
thf(371,plain,
( ( ! [Y_1: x_a,A_29: x_a > $o,X_12: x_a] :
( ( insert_a @ Y_1 @ A_29 @ X_12 )
<=> ( ( Y_1 = X_12 )
| ( A_29 @ X_12 ) ) ) )
= $true ),
inference(copy,[status(thm)],[333]) ).
thf(372,plain,
( ( ! [B_22: x_a > $o,X_11: x_a,A_28: x_a > $o] :
( ~ ( member_a @ X_11 @ A_28 )
=> ( ~ ( member_a @ X_11 @ B_22 )
=> ( ( ( insert_a @ X_11 @ A_28 )
= ( insert_a @ X_11 @ B_22 ) )
<=> ( A_28 = B_22 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[332]) ).
thf(373,plain,
( ( ! [B_21: x_a,A_27: x_a,B_20: x_a > $o] :
( ( member_a @ A_27 @ B_20 )
=> ( member_a @ A_27 @ ( insert_a @ B_21 @ B_20 ) ) ) )
= $true ),
inference(copy,[status(thm)],[331]) ).
thf(374,plain,
( ( ! [A_26: x_a,A_25: x_a > $o] :
( ( member_a @ A_26 @ A_25 )
=> ( ( insert_a @ A_26 @ A_25 )
= A_25 ) ) )
= $true ),
inference(copy,[status(thm)],[330]) ).
thf(375,plain,
( ( ! [A_24: x_a > $o] : ( ord_less_eq_a_o @ A_24 @ A_24 ) )
= $true ),
inference(copy,[status(thm)],[329]) ).
thf(376,plain,
( ( ! [A_23: x_a > $o,B_19: x_a > $o] :
( ( A_23 = B_19 )
<=> ( ( ord_less_eq_a_o @ A_23 @ B_19 )
& ( ord_less_eq_a_o @ B_19 @ A_23 ) ) ) )
= $true ),
inference(copy,[status(thm)],[328]) ).
thf(377,plain,
( ( ! [A_22: x_a > $o,B_18: x_a > $o] :
( ( A_22 = B_18 )
=> ( ord_less_eq_a_o @ A_22 @ B_18 ) ) )
= $true ),
inference(copy,[status(thm)],[327]) ).
thf(378,plain,
( ( ! [A_21: x_a > $o,B_17: x_a > $o] :
( ( A_21 = B_17 )
=> ( ord_less_eq_a_o @ B_17 @ A_21 ) ) )
= $true ),
inference(copy,[status(thm)],[326]) ).
thf(379,plain,
( ( ! [X_10: x_a,A_20: x_a > $o,B_16: x_a > $o] :
( ( ord_less_eq_a_o @ A_20 @ B_16 )
=> ( ( member_a @ X_10 @ A_20 )
=> ( member_a @ X_10 @ B_16 ) ) ) )
= $true ),
inference(copy,[status(thm)],[325]) ).
thf(380,plain,
( ( ! [B_15: x_a > $o,X_9: x_a,A_19: x_a > $o] :
( ( member_a @ X_9 @ A_19 )
=> ( ( ord_less_eq_a_o @ A_19 @ B_15 )
=> ( member_a @ X_9 @ B_15 ) ) ) )
= $true ),
inference(copy,[status(thm)],[324]) ).
thf(381,plain,
( ( ! [X_8: x_a,A_18: x_a > $o,B_14: x_a > $o] :
( ( ord_less_eq_a_o @ A_18 @ B_14 )
=> ( ( member_a @ X_8 @ A_18 )
=> ( member_a @ X_8 @ B_14 ) ) ) )
= $true ),
inference(copy,[status(thm)],[323]) ).
thf(382,plain,
( ( ! [C_1: x_a > $o,A_17: x_a > $o,B_13: x_a > $o] :
( ( ord_less_eq_a_o @ A_17 @ B_13 )
=> ( ( ord_less_eq_a_o @ B_13 @ C_1 )
=> ( ord_less_eq_a_o @ A_17 @ C_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[322]) ).
thf(383,plain,
( ( ! [A_16: x_a > $o,B_12: x_a > $o] :
( ( A_16 = B_12 )
=> ~ ( ( ord_less_eq_a_o @ A_16 @ B_12 )
=> ~ ( ord_less_eq_a_o @ B_12 @ A_16 ) ) ) )
= $true ),
inference(copy,[status(thm)],[321]) ).
thf(384,plain,
( ( ! [B_10: x_a > $o,A_11: x_a] : ( ord_less_eq_a_o @ B_10 @ ( insert_a @ A_11 @ B_10 ) ) )
= $true ),
inference(copy,[status(thm)],[320]) ).
thf(385,plain,
( ( ! [X_4: x_a,A_10: x_a > $o,B_9: x_a > $o] :
( ( ord_less_eq_a_o @ ( insert_a @ X_4 @ A_10 ) @ B_9 )
<=> ( ( member_a @ X_4 @ B_9 )
& ( ord_less_eq_a_o @ A_10 @ B_9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[319]) ).
thf(386,plain,
( ( ! [B_8: x_a > $o,X_3: x_a,A_9: x_a > $o] :
( ~ ( member_a @ X_3 @ A_9 )
=> ( ( ord_less_eq_a_o @ A_9 @ ( insert_a @ X_3 @ B_8 ) )
<=> ( ord_less_eq_a_o @ A_9 @ B_8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[318]) ).
thf(387,plain,
( ( ! [B_7: x_a,A_8: x_a > $o,B_6: x_a > $o] :
( ( ord_less_eq_a_o @ A_8 @ B_6 )
=> ( ord_less_eq_a_o @ A_8 @ ( insert_a @ B_7 @ B_6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[317]) ).
thf(388,plain,
( ( ! [A_7: x_a,C: x_a > $o,D: x_a > $o] :
( ( ord_less_eq_a_o @ C @ D )
=> ( ord_less_eq_a_o @ ( insert_a @ A_7 @ C ) @ ( insert_a @ A_7 @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[316]) ).
thf(389,plain,
( ( ! [F_5: pname > x_a,A_6: pname,B_5: pname > $o] :
( ( image_pname_a @ F_5 @ ( insert_pname @ A_6 @ B_5 ) )
= ( insert_a @ ( F_5 @ A_6 ) @ ( image_pname_a @ F_5 @ B_5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[315]) ).
thf(390,plain,
( ( ! [F_4: pname > x_a,X_2: pname,A_5: pname > $o] :
( ( member_pname @ X_2 @ A_5 )
=> ( ( insert_a @ ( F_4 @ X_2 ) @ ( image_pname_a @ F_4 @ A_5 ) )
= ( image_pname_a @ F_4 @ A_5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[314]) ).
thf(391,plain,
( ( ! [B_4: x_a > $o,F_3: pname > x_a,A_4: pname > $o] :
( ( ord_less_eq_a_o @ B_4 @ ( image_pname_a @ F_3 @ A_4 ) )
<=> ? [AA: pname > $o] :
( ( ord_less_eq_pname_o @ AA @ A_4 )
& ( B_4
= ( image_pname_a @ F_3 @ AA ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[313]) ).
thf(392,plain,
( ( ! [F_2: pname > x_a,A_3: pname > $o,B_3: pname > $o] :
( ( ord_less_eq_pname_o @ A_3 @ B_3 )
=> ( ord_less_eq_a_o @ ( image_pname_a @ F_2 @ A_3 ) @ ( image_pname_a @ F_2 @ B_3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[312]) ).
thf(393,plain,
( ( ! [B_1: x_a > $o,A_1: x_a > $o] :
( ! [X: x_a] :
( ( member_a @ X @ A_1 )
=> ( member_a @ X @ B_1 ) )
=> ( ord_less_eq_a_o @ A_1 @ B_1 ) ) )
= $true ),
inference(copy,[status(thm)],[311]) ).
thf(394,plain,
( ( ! [X_1: x_a > $o] : ( ord_less_eq_a_o @ X_1 @ X_1 ) )
= $true ),
inference(copy,[status(thm)],[310]) ).
thf(395,plain,
( ( ~ ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) ) )
= $true ),
inference(copy,[status(thm)],[352]) ).
thf(396,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)],[383]) ).
thf(397,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)],[360]) ).
thf(398,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)],[393]) ).
thf(399,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)],[376]) ).
thf(400,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)],[358]) ).
thf(401,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)],[367]) ).
thf(402,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)],[361]) ).
thf(403,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)],[379]) ).
thf(404,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)],[382]) ).
thf(405,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)],[370]) ).
thf(406,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o] :
( ( SX0 != SX1 )
| ( ord_less_eq_a_o @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[378]) ).
thf(407,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)],[363]) ).
thf(408,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)],[373]) ).
thf(409,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)],[380]) ).
thf(410,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)],[372]) ).
thf(411,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)],[362]) ).
thf(412,plain,
( ( ! [SX0: x_a,SX1: x_a > $o] :
( ~ ( member_a @ SX0 @ SX1 )
| ( ( insert_a @ SX0 @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[374]) ).
thf(413,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)],[388]) ).
thf(414,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)],[390]) ).
thf(415,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)],[371]) ).
thf(416,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)],[387]) ).
thf(417,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)],[365]) ).
thf(418,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)],[359]) ).
thf(419,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)],[364]) ).
thf(420,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)],[381]) ).
thf(421,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)],[391]) ).
thf(422,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)],[392]) ).
thf(423,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)],[357]) ).
thf(424,plain,
( ( ! [SX0: x_a > $o,SX1: x_a > $o] :
( ( SX0 != SX1 )
| ( ord_less_eq_a_o @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[377]) ).
thf(425,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)],[385]) ).
thf(426,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)],[386]) ).
thf(427,plain,
( ( member_a @ ( mgt_call @ pn ) @ g )
= $false ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(428,plain,
! [SV1: x_a] :
( ( ! [SY97: x_a > $o] : ( member_a @ SV1 @ ( insert_a @ SV1 @ SY97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(429,plain,
! [SV2: x_a] :
( ( ! [SY98: x_a > $o] :
( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SY98 ) )
= ( insert_a @ SV2 @ SY98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(430,plain,
! [SV3: x_a] :
( ( ! [SY99: x_a,SY100: x_a > $o] :
( ( insert_a @ SV3 @ ( insert_a @ SY99 @ SY100 ) )
= ( insert_a @ SY99 @ ( insert_a @ SV3 @ SY100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(431,plain,
! [SV4: x_a > $o] :
( ( ord_less_eq_a_o @ SV4 @ SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(432,plain,
! [SV5: x_a > $o] :
( ( ! [SY101: x_a] : ( ord_less_eq_a_o @ SV5 @ ( insert_a @ SY101 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(433,plain,
! [SV6: pname > x_a] :
( ( ! [SY102: pname,SY103: pname > $o] :
( ( image_pname_a @ SV6 @ ( insert_pname @ SY102 @ SY103 ) )
= ( insert_a @ ( SV6 @ SY102 ) @ ( image_pname_a @ SV6 @ SY103 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(434,plain,
! [SV7: x_a > $o] :
( ( ord_less_eq_a_o @ SV7 @ SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(435,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)],[395]) ).
thf(436,plain,
! [SV8: x_a > $o] :
( ( ! [SY104: x_a > $o] :
( ( SV8 != SY104 )
| ~ ( ~ ( ord_less_eq_a_o @ SV8 @ SY104 )
| ~ ( ord_less_eq_a_o @ SY104 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(437,plain,
! [SV9: x_a > $o] :
( ( ! [SY105: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV9 @ SY105 )
| ~ ( finite_finite_a @ SY105 )
| ( finite_finite_a @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(438,plain,
! [SV10: x_a > $o] :
( ( ! [SY106: x_a > $o] :
( ~ ! [SY107: x_a] :
( ~ ( member_a @ SY107 @ SY106 )
| ( member_a @ SY107 @ SV10 ) )
| ( ord_less_eq_a_o @ SY106 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(439,plain,
! [SV11: x_a > $o] :
( ( ! [SY108: x_a > $o] :
~ ( ~ ( ( SV11 != SY108 )
| ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SY108 )
| ~ ( ord_less_eq_a_o @ SY108 @ SV11 ) ) )
| ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SY108 )
| ~ ( ord_less_eq_a_o @ SY108 @ SV11 ) )
| ( SV11 = SY108 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(440,plain,
! [SV12: x_a] :
( ( ! [SY109: x_a > $o] :
( ~ ( finite_finite_a @ SY109 )
| ( finite_finite_a @ ( insert_a @ SV12 @ SY109 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(441,plain,
! [SV13: x_a] :
( ( ! [SY110: x_a > $o] :
( ( insert_a @ SV13 @ ( collect_a @ SY110 ) )
= ( collect_a
@ ^ [SY111: x_a] :
( ~ ( ( SY111 != SV13 ) )
| ( SY110 @ SY111 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(442,plain,
! [SV14: x_a > $o] :
( ( ! [SY112: x_a > $o] :
( ~ ( finite_finite_a @ SY112 )
| ~ ( ord_less_eq_a_o @ SV14 @ SY112 )
| ( finite_finite_a @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(443,plain,
! [SV15: x_a] :
( ( ! [SY113: x_a > $o,SY114: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY113 @ SY114 )
| ~ ( member_a @ SV15 @ SY113 )
| ( member_a @ SV15 @ SY114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(444,plain,
! [SV16: x_a > $o] :
( ( ! [SY115: x_a > $o,SY116: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY115 @ SY116 )
| ~ ( ord_less_eq_a_o @ SY116 @ SV16 )
| ( ord_less_eq_a_o @ SY115 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(445,plain,
! [SV17: x_a] :
( ( ! [SY117: x_a,SY118: x_a > $o] :
~ ( ~ ( ~ ( member_a @ SV17 @ ( insert_a @ SY117 @ SY118 ) )
| ( SV17 = SY117 )
| ( member_a @ SV17 @ SY118 ) )
| ~ ( ~ ( ( SV17 = SY117 )
| ( member_a @ SV17 @ SY118 ) )
| ( member_a @ SV17 @ ( insert_a @ SY117 @ SY118 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(446,plain,
! [SV18: x_a > $o] :
( ( ! [SY119: x_a > $o] :
( ( SV18 != SY119 )
| ( ord_less_eq_a_o @ SY119 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(447,plain,
! [SV19: x_a] :
( ( ! [SY120: x_a > $o,SY121: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY120 @ SY121 )
| ~ ( member_a @ SV19 @ SY120 )
| ( member_a @ SV19 @ SY121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(448,plain,
! [SV20: x_a] :
( ( ! [SY122: x_a,SY123: x_a > $o] :
( ~ ( member_a @ SY122 @ SY123 )
| ( member_a @ SY122 @ ( insert_a @ SV20 @ SY123 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(449,plain,
! [SV21: x_a > $o] :
( ( ! [SY124: x_a,SY125: x_a > $o] :
( ~ ( member_a @ SY124 @ SY125 )
| ~ ( ord_less_eq_a_o @ SY125 @ SV21 )
| ( member_a @ SY124 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(450,plain,
! [SV22: x_a > $o] :
( ( ! [SY126: x_a,SY127: x_a > $o] :
( ~ ~ ( member_a @ SY126 @ SY127 )
| ~ ~ ( member_a @ SY126 @ SV22 )
| ~ ( ~ ( ( ( insert_a @ SY126 @ SY127 )
!= ( insert_a @ SY126 @ SV22 ) )
| ( SY127 = SV22 ) )
| ~ ( ( SY127 != SV22 )
| ( ( insert_a @ SY126 @ SY127 )
= ( insert_a @ SY126 @ SV22 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(451,plain,
! [SV23: x_a > $o] :
( ( ! [SY128: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV23 @ SY128 )
| ~ ( ord_less_eq_a_o @ SY128 @ SV23 )
| ( SV23 = SY128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(452,plain,
! [SV24: x_a] :
( ( ! [SY129: x_a > $o] :
( ~ ( member_a @ SV24 @ SY129 )
| ( ( insert_a @ SV24 @ SY129 )
= SY129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(453,plain,
! [SV25: x_a] :
( ( ! [SY130: x_a > $o,SY131: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY130 @ SY131 )
| ( ord_less_eq_a_o @ ( insert_a @ SV25 @ SY130 ) @ ( insert_a @ SV25 @ SY131 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(454,plain,
! [SV26: pname > x_a] :
( ( ! [SY132: pname,SY133: pname > $o] :
( ~ ( member_pname @ SY132 @ SY133 )
| ( ( insert_a @ ( SV26 @ SY132 ) @ ( image_pname_a @ SV26 @ SY133 ) )
= ( image_pname_a @ SV26 @ SY133 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(455,plain,
! [SV27: x_a] :
( ( ! [SY134: x_a > $o,SY135: x_a] :
~ ( ~ ( ~ ( insert_a @ SV27 @ SY134 @ SY135 )
| ( SV27 = SY135 )
| ( SY134 @ SY135 ) )
| ~ ( ~ ( ( SV27 = SY135 )
| ( SY134 @ SY135 ) )
| ( insert_a @ SV27 @ SY134 @ SY135 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(456,plain,
! [SV28: x_a] :
( ( ! [SY136: x_a > $o,SY137: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY136 @ SY137 )
| ( ord_less_eq_a_o @ SY136 @ ( insert_a @ SV28 @ SY137 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(457,plain,
! [SV29: x_a] :
( ( ! [SY138: x_a,SY139: x_a > $o] :
( ~ ( member_a @ SV29 @ ( insert_a @ SY138 @ SY139 ) )
| ~ ( ( SV29 != SY138 ) )
| ( member_a @ SV29 @ SY139 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(458,plain,
! [SV30: x_a] :
( ( ! [SY140: x_a > $o] :
~ ( ~ ( ~ ( finite_finite_a @ ( insert_a @ SV30 @ SY140 ) )
| ( finite_finite_a @ SY140 ) )
| ~ ( ~ ( finite_finite_a @ SY140 )
| ( finite_finite_a @ ( insert_a @ SV30 @ SY140 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(459,plain,
! [SV31: x_a] :
( ( ! [SY141: x_a,SY142: x_a > $o] :
( ~ ( ~ ~ ( member_a @ SY141 @ SY142 )
| ( SY141 = SV31 ) )
| ( member_a @ SY141 @ ( insert_a @ SV31 @ SY142 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(460,plain,
! [SV32: x_a] :
( ( ! [SY143: x_a > $o,SY144: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SY143 @ SY144 )
| ~ ( member_a @ SV32 @ SY143 )
| ( member_a @ SV32 @ SY144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(461,plain,
! [SV33: x_a > $o] :
( ( ! [SY145: pname > x_a,SY146: pname > $o] :
~ ( ~ ( ~ ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SY145 @ SY146 ) )
| ~ ! [SY147: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY147 @ SY146 )
| ( SV33
!= ( image_pname_a @ SY145 @ SY147 ) ) ) )
| ~ ( ~ ~ ! [SY148: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY148 @ SY146 )
| ( SV33
!= ( image_pname_a @ SY145 @ SY148 ) ) )
| ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SY145 @ SY146 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(462,plain,
! [SV34: pname > x_a] :
( ( ! [SY149: pname > $o,SY150: pname > $o] :
( ~ ( ord_less_eq_pname_o @ SY149 @ SY150 )
| ( ord_less_eq_a_o @ ( image_pname_a @ SV34 @ SY149 ) @ ( image_pname_a @ SV34 @ SY150 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(463,plain,
! [SV35: x_a > $o] :
( ( ! [SY151: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV35 @ SY151 )
| ( p @ SY151 @ SV35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(464,plain,
! [SV36: x_a > $o] :
( ( ! [SY152: x_a > $o] :
( ( SV36 != SY152 )
| ( ord_less_eq_a_o @ SV36 @ SY152 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(465,plain,
! [SV37: x_a] :
( ( ! [SY153: x_a > $o,SY154: x_a > $o] :
~ ( ~ ( ~ ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SY153 ) @ SY154 )
| ~ ( ~ ( member_a @ SV37 @ SY154 )
| ~ ( ord_less_eq_a_o @ SY153 @ SY154 ) ) )
| ~ ( ~ ~ ( ~ ( member_a @ SV37 @ SY154 )
| ~ ( ord_less_eq_a_o @ SY153 @ SY154 ) )
| ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SY153 ) @ SY154 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(466,plain,
! [SV38: x_a > $o] :
( ( ! [SY155: x_a,SY156: x_a > $o] :
( ~ ~ ( member_a @ SY155 @ SY156 )
| ~ ( ~ ( ~ ( ord_less_eq_a_o @ SY156 @ ( insert_a @ SY155 @ SV38 ) )
| ( ord_less_eq_a_o @ SY156 @ SV38 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SY156 @ SV38 )
| ( ord_less_eq_a_o @ SY156 @ ( insert_a @ SY155 @ SV38 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(467,plain,
! [SV39: x_a > $o,SV1: x_a] :
( ( member_a @ SV1 @ ( insert_a @ SV1 @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(468,plain,
! [SV40: x_a > $o,SV2: x_a] :
( ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) )
= ( insert_a @ SV2 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(469,plain,
! [SV41: x_a,SV3: x_a] :
( ( ! [SY157: x_a > $o] :
( ( insert_a @ SV3 @ ( insert_a @ SV41 @ SY157 ) )
= ( insert_a @ SV41 @ ( insert_a @ SV3 @ SY157 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(470,plain,
! [SV42: x_a,SV5: x_a > $o] :
( ( ord_less_eq_a_o @ SV5 @ ( insert_a @ SV42 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(471,plain,
! [SV43: pname,SV6: pname > x_a] :
( ( ! [SY158: pname > $o] :
( ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SY158 ) )
= ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SY158 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(472,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( SV8 != SV44 )
| ~ ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 )
| ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(473,plain,
! [SV45: x_a > $o,SV9: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV9 @ SV45 )
| ~ ( finite_finite_a @ SV45 )
| ( finite_finite_a @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(474,plain,
! [SV10: x_a > $o,SV46: x_a > $o] :
( ( ~ ! [SY159: x_a] :
( ~ ( member_a @ SY159 @ SV46 )
| ( member_a @ SY159 @ SV10 ) )
| ( ord_less_eq_a_o @ SV46 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(475,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ~ ( ~ ( ( SV11 != SV47 )
| ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) ) )
| ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) )
| ( SV11 = SV47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(476,plain,
! [SV12: x_a,SV48: x_a > $o] :
( ( ~ ( finite_finite_a @ SV48 )
| ( finite_finite_a @ ( insert_a @ SV12 @ SV48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(477,plain,
! [SV49: x_a > $o,SV13: x_a] :
( ( ( insert_a @ SV13 @ ( collect_a @ SV49 ) )
= ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[441]) ).
thf(478,plain,
! [SV14: x_a > $o,SV50: x_a > $o] :
( ( ~ ( finite_finite_a @ SV50 )
| ~ ( ord_less_eq_a_o @ SV14 @ SV50 )
| ( finite_finite_a @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(479,plain,
! [SV15: x_a,SV51: x_a > $o] :
( ( ! [SY161: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV51 @ SY161 )
| ~ ( member_a @ SV15 @ SV51 )
| ( member_a @ SV15 @ SY161 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(480,plain,
! [SV16: x_a > $o,SV52: x_a > $o] :
( ( ! [SY162: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV52 @ SY162 )
| ~ ( ord_less_eq_a_o @ SY162 @ SV16 )
| ( ord_less_eq_a_o @ SV52 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(481,plain,
! [SV53: x_a,SV17: x_a] :
( ( ! [SY163: x_a > $o] :
~ ( ~ ( ~ ( member_a @ SV17 @ ( insert_a @ SV53 @ SY163 ) )
| ( SV17 = SV53 )
| ( member_a @ SV17 @ SY163 ) )
| ~ ( ~ ( ( SV17 = SV53 )
| ( member_a @ SV17 @ SY163 ) )
| ( member_a @ SV17 @ ( insert_a @ SV53 @ SY163 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(482,plain,
! [SV54: x_a > $o,SV18: x_a > $o] :
( ( ( SV18 != SV54 )
| ( ord_less_eq_a_o @ SV54 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(483,plain,
! [SV19: x_a,SV55: x_a > $o] :
( ( ! [SY164: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV55 @ SY164 )
| ~ ( member_a @ SV19 @ SV55 )
| ( member_a @ SV19 @ SY164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(484,plain,
! [SV20: x_a,SV56: x_a] :
( ( ! [SY165: x_a > $o] :
( ~ ( member_a @ SV56 @ SY165 )
| ( member_a @ SV56 @ ( insert_a @ SV20 @ SY165 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[448]) ).
thf(485,plain,
! [SV21: x_a > $o,SV57: x_a] :
( ( ! [SY166: x_a > $o] :
( ~ ( member_a @ SV57 @ SY166 )
| ~ ( ord_less_eq_a_o @ SY166 @ SV21 )
| ( member_a @ SV57 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(486,plain,
! [SV22: x_a > $o,SV58: x_a] :
( ( ! [SY167: x_a > $o] :
( ~ ~ ( member_a @ SV58 @ SY167 )
| ~ ~ ( member_a @ SV58 @ SV22 )
| ~ ( ~ ( ( ( insert_a @ SV58 @ SY167 )
!= ( insert_a @ SV58 @ SV22 ) )
| ( SY167 = SV22 ) )
| ~ ( ( SY167 != SV22 )
| ( ( insert_a @ SV58 @ SY167 )
= ( insert_a @ SV58 @ SV22 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(487,plain,
! [SV59: x_a > $o,SV23: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV23 @ SV59 )
| ~ ( ord_less_eq_a_o @ SV59 @ SV23 )
| ( SV23 = SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(488,plain,
! [SV60: x_a > $o,SV24: x_a] :
( ( ~ ( member_a @ SV24 @ SV60 )
| ( ( insert_a @ SV24 @ SV60 )
= SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(489,plain,
! [SV25: x_a,SV61: x_a > $o] :
( ( ! [SY168: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV61 @ SY168 )
| ( ord_less_eq_a_o @ ( insert_a @ SV25 @ SV61 ) @ ( insert_a @ SV25 @ SY168 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(490,plain,
! [SV26: pname > x_a,SV62: pname] :
( ( ! [SY169: pname > $o] :
( ~ ( member_pname @ SV62 @ SY169 )
| ( ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SY169 ) )
= ( image_pname_a @ SV26 @ SY169 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(491,plain,
! [SV63: x_a > $o,SV27: x_a] :
( ( ! [SY170: x_a] :
~ ( ~ ( ~ ( insert_a @ SV27 @ SV63 @ SY170 )
| ( SV27 = SY170 )
| ( SV63 @ SY170 ) )
| ~ ( ~ ( ( SV27 = SY170 )
| ( SV63 @ SY170 ) )
| ( insert_a @ SV27 @ SV63 @ SY170 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(492,plain,
! [SV28: x_a,SV64: x_a > $o] :
( ( ! [SY171: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV64 @ SY171 )
| ( ord_less_eq_a_o @ SV64 @ ( insert_a @ SV28 @ SY171 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(493,plain,
! [SV65: x_a,SV29: x_a] :
( ( ! [SY172: x_a > $o] :
( ~ ( member_a @ SV29 @ ( insert_a @ SV65 @ SY172 ) )
| ~ ( ( SV29 != SV65 ) )
| ( member_a @ SV29 @ SY172 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(494,plain,
! [SV66: x_a > $o,SV30: x_a] :
( ( ~ ( ~ ( ~ ( finite_finite_a @ ( insert_a @ SV30 @ SV66 ) )
| ( finite_finite_a @ SV66 ) )
| ~ ( ~ ( finite_finite_a @ SV66 )
| ( finite_finite_a @ ( insert_a @ SV30 @ SV66 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(495,plain,
! [SV31: x_a,SV67: x_a] :
( ( ! [SY173: x_a > $o] :
( ~ ( ~ ~ ( member_a @ SV67 @ SY173 )
| ( SV67 = SV31 ) )
| ( member_a @ SV67 @ ( insert_a @ SV31 @ SY173 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(496,plain,
! [SV32: x_a,SV68: x_a > $o] :
( ( ! [SY174: x_a > $o] :
( ~ ( ord_less_eq_a_o @ SV68 @ SY174 )
| ~ ( member_a @ SV32 @ SV68 )
| ( member_a @ SV32 @ SY174 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(497,plain,
! [SV69: pname > x_a,SV33: x_a > $o] :
( ( ! [SY175: pname > $o] :
~ ( ~ ( ~ ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SY175 ) )
| ~ ! [SY176: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY176 @ SY175 )
| ( SV33
!= ( image_pname_a @ SV69 @ SY176 ) ) ) )
| ~ ( ~ ~ ! [SY177: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY177 @ SY175 )
| ( SV33
!= ( image_pname_a @ SV69 @ SY177 ) ) )
| ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SY175 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(498,plain,
! [SV34: pname > x_a,SV70: pname > $o] :
( ( ! [SY178: pname > $o] :
( ~ ( ord_less_eq_pname_o @ SV70 @ SY178 )
| ( ord_less_eq_a_o @ ( image_pname_a @ SV34 @ SV70 ) @ ( image_pname_a @ SV34 @ SY178 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(499,plain,
! [SV71: x_a > $o,SV35: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV35 @ SV71 )
| ( p @ SV71 @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(500,plain,
! [SV72: x_a > $o,SV36: x_a > $o] :
( ( ( SV36 != SV72 )
| ( ord_less_eq_a_o @ SV36 @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(501,plain,
! [SV73: x_a > $o,SV37: x_a] :
( ( ! [SY179: x_a > $o] :
~ ( ~ ( ~ ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SY179 )
| ~ ( ~ ( member_a @ SV37 @ SY179 )
| ~ ( ord_less_eq_a_o @ SV73 @ SY179 ) ) )
| ~ ( ~ ~ ( ~ ( member_a @ SV37 @ SY179 )
| ~ ( ord_less_eq_a_o @ SV73 @ SY179 ) )
| ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SY179 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(502,plain,
! [SV38: x_a > $o,SV74: x_a] :
( ( ! [SY180: x_a > $o] :
( ~ ~ ( member_a @ SV74 @ SY180 )
| ~ ( ~ ( ~ ( ord_less_eq_a_o @ SY180 @ ( insert_a @ SV74 @ SV38 ) )
| ( ord_less_eq_a_o @ SY180 @ SV38 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SY180 @ SV38 )
| ( ord_less_eq_a_o @ SY180 @ ( insert_a @ SV74 @ SV38 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(503,plain,
! [SV40: x_a > $o,SV2: x_a] :
( ( ! [SV75: x_a] :
( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV75 )
= ( insert_a @ SV2 @ SV40 @ SV75 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[468]) ).
thf(504,plain,
! [SV40: x_a > $o,SV2: x_a] :
( ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) )
= ( insert_a @ SV2 @ SV40 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[468]) ).
thf(505,plain,
! [SV76: x_a > $o,SV41: x_a,SV3: x_a] :
( ( ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) )
= ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(506,plain,
! [SV77: pname > $o,SV43: pname,SV6: pname > x_a] :
( ( ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) )
= ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(507,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( SV8 != SV44 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 )
| ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(508,plain,
! [SV45: x_a > $o,SV9: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV9 @ SV45 ) )
= $true )
| ( ( ~ ( finite_finite_a @ SV45 )
| ( finite_finite_a @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(509,plain,
! [SV10: x_a > $o,SV46: x_a > $o] :
( ( ( ~ ! [SY159: x_a] :
( ~ ( member_a @ SY159 @ SV46 )
| ( member_a @ SY159 @ SV10 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV46 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(510,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ~ ( ( SV11 != SV47 )
| ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) ) )
| ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) )
| ( SV11 = SV47 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(511,plain,
! [SV12: x_a,SV48: x_a > $o] :
( ( ( ~ ( finite_finite_a @ SV48 ) )
= $true )
| ( ( finite_finite_a @ ( insert_a @ SV12 @ SV48 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[476]) ).
thf(512,plain,
! [SV49: x_a > $o,SV13: x_a] :
( ( ! [SV78: x_a] :
( ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV78 )
= ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV78 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[477]) ).
thf(513,plain,
! [SV49: x_a > $o,SV13: x_a] :
( ( ( insert_a @ SV13 @ ( collect_a @ SV49 ) )
= ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[477]) ).
thf(514,plain,
! [SV14: x_a > $o,SV50: x_a > $o] :
( ( ( ~ ( finite_finite_a @ SV50 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV14 @ SV50 )
| ( finite_finite_a @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[478]) ).
thf(515,plain,
! [SV15: x_a,SV79: x_a > $o,SV51: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV51 @ SV79 )
| ~ ( member_a @ SV15 @ SV51 )
| ( member_a @ SV15 @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(516,plain,
! [SV16: x_a > $o,SV80: x_a > $o,SV52: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV52 @ SV80 )
| ~ ( ord_less_eq_a_o @ SV80 @ SV16 )
| ( ord_less_eq_a_o @ SV52 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(517,plain,
! [SV81: x_a > $o,SV53: x_a,SV17: x_a] :
( ( ~ ( ~ ( ~ ( member_a @ SV17 @ ( insert_a @ SV53 @ SV81 ) )
| ( SV17 = SV53 )
| ( member_a @ SV17 @ SV81 ) )
| ~ ( ~ ( ( SV17 = SV53 )
| ( member_a @ SV17 @ SV81 ) )
| ( member_a @ SV17 @ ( insert_a @ SV53 @ SV81 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(518,plain,
! [SV54: x_a > $o,SV18: x_a > $o] :
( ( ( SV18 != SV54 )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[482]) ).
thf(519,plain,
! [SV19: x_a,SV82: x_a > $o,SV55: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV55 @ SV82 )
| ~ ( member_a @ SV19 @ SV55 )
| ( member_a @ SV19 @ SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(520,plain,
! [SV20: x_a,SV83: x_a > $o,SV56: x_a] :
( ( ~ ( member_a @ SV56 @ SV83 )
| ( member_a @ SV56 @ ( insert_a @ SV20 @ SV83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(521,plain,
! [SV21: x_a > $o,SV84: x_a > $o,SV57: x_a] :
( ( ~ ( member_a @ SV57 @ SV84 )
| ~ ( ord_less_eq_a_o @ SV84 @ SV21 )
| ( member_a @ SV57 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(522,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ~ ~ ( member_a @ SV58 @ SV85 )
| ~ ~ ( member_a @ SV58 @ SV22 )
| ~ ( ~ ( ( ( insert_a @ SV58 @ SV85 )
!= ( insert_a @ SV58 @ SV22 ) )
| ( SV85 = SV22 ) )
| ~ ( ( SV85 != SV22 )
| ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(523,plain,
! [SV59: x_a > $o,SV23: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV23 @ SV59 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV59 @ SV23 )
| ( SV23 = SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(524,plain,
! [SV60: x_a > $o,SV24: x_a] :
( ( ( ~ ( member_a @ SV24 @ SV60 ) )
= $true )
| ( ( ( insert_a @ SV24 @ SV60 )
= SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(525,plain,
! [SV25: x_a,SV86: x_a > $o,SV61: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV61 @ SV86 )
| ( ord_less_eq_a_o @ ( insert_a @ SV25 @ SV61 ) @ ( insert_a @ SV25 @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(526,plain,
! [SV26: pname > x_a,SV87: pname > $o,SV62: pname] :
( ( ~ ( member_pname @ SV62 @ SV87 )
| ( ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) )
= ( image_pname_a @ SV26 @ SV87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(527,plain,
! [SV88: x_a,SV63: x_a > $o,SV27: x_a] :
( ( ~ ( ~ ( ~ ( insert_a @ SV27 @ SV63 @ SV88 )
| ( SV27 = SV88 )
| ( SV63 @ SV88 ) )
| ~ ( ~ ( ( SV27 = SV88 )
| ( SV63 @ SV88 ) )
| ( insert_a @ SV27 @ SV63 @ SV88 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(528,plain,
! [SV28: x_a,SV89: x_a > $o,SV64: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV64 @ SV89 )
| ( ord_less_eq_a_o @ SV64 @ ( insert_a @ SV28 @ SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(529,plain,
! [SV90: x_a > $o,SV65: x_a,SV29: x_a] :
( ( ~ ( member_a @ SV29 @ ( insert_a @ SV65 @ SV90 ) )
| ~ ( ( SV29 != SV65 ) )
| ( member_a @ SV29 @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(530,plain,
! [SV66: x_a > $o,SV30: x_a] :
( ( ~ ( ~ ( finite_finite_a @ ( insert_a @ SV30 @ SV66 ) )
| ( finite_finite_a @ SV66 ) )
| ~ ( ~ ( finite_finite_a @ SV66 )
| ( finite_finite_a @ ( insert_a @ SV30 @ SV66 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(531,plain,
! [SV31: x_a,SV91: x_a > $o,SV67: x_a] :
( ( ~ ( ~ ~ ( member_a @ SV67 @ SV91 )
| ( SV67 = SV31 ) )
| ( member_a @ SV67 @ ( insert_a @ SV31 @ SV91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(532,plain,
! [SV32: x_a,SV92: x_a > $o,SV68: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV68 @ SV92 )
| ~ ( member_a @ SV32 @ SV68 )
| ( member_a @ SV32 @ SV92 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(533,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV33: x_a > $o] :
( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
| ~ ! [SY182: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY182 @ SV93 )
| ( SV33
!= ( image_pname_a @ SV69 @ SY182 ) ) ) )
| ~ ( ~ ~ ! [SY183: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY183 @ SV93 )
| ( SV33
!= ( image_pname_a @ SV69 @ SY183 ) ) )
| ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(534,plain,
! [SV34: pname > x_a,SV94: pname > $o,SV70: pname > $o] :
( ( ~ ( ord_less_eq_pname_o @ SV70 @ SV94 )
| ( ord_less_eq_a_o @ ( image_pname_a @ SV34 @ SV70 ) @ ( image_pname_a @ SV34 @ SV94 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(535,plain,
! [SV71: x_a > $o,SV35: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV35 @ SV71 ) )
= $true )
| ( ( p @ SV71 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[499]) ).
thf(536,plain,
! [SV72: x_a > $o,SV36: x_a > $o] :
( ( ( SV36 != SV72 )
= $true )
| ( ( ord_less_eq_a_o @ SV36 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(537,plain,
! [SV95: x_a > $o,SV73: x_a > $o,SV37: x_a] :
( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SV95 )
| ~ ( ~ ( member_a @ SV37 @ SV95 )
| ~ ( ord_less_eq_a_o @ SV73 @ SV95 ) ) )
| ~ ( ~ ~ ( ~ ( member_a @ SV37 @ SV95 )
| ~ ( ord_less_eq_a_o @ SV73 @ SV95 ) )
| ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SV95 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(538,plain,
! [SV38: x_a > $o,SV96: x_a > $o,SV74: x_a] :
( ( ~ ~ ( member_a @ SV74 @ SV96 )
| ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV96 @ ( insert_a @ SV74 @ SV38 ) )
| ( ord_less_eq_a_o @ SV96 @ SV38 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SV96 @ SV38 )
| ( ord_less_eq_a_o @ SV96 @ ( insert_a @ SV74 @ SV38 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(539,plain,
! [SV97: x_a,SV40: x_a > $o,SV2: x_a] :
( ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 )
= ( insert_a @ SV2 @ SV40 @ SV97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(540,plain,
! [SV76: x_a > $o,SV41: x_a,SV3: x_a] :
( ( ! [SV98: x_a] :
( ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV98 )
= ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV98 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[505]) ).
thf(541,plain,
! [SV76: x_a > $o,SV41: x_a,SV3: x_a] :
( ( ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) )
= ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[505]) ).
thf(542,plain,
! [SV77: pname > $o,SV43: pname,SV6: pname > x_a] :
( ( ! [SV99: x_a] :
( ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV99 )
= ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV99 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[506]) ).
thf(543,plain,
! [SV77: pname > $o,SV43: pname,SV6: pname > x_a] :
( ( ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) )
= ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[506]) ).
thf(544,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( SV8 = SV44 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 )
| ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(545,plain,
! [SV45: x_a > $o,SV9: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV9 @ SV45 )
= $false )
| ( ( ~ ( finite_finite_a @ SV45 )
| ( finite_finite_a @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(546,plain,
! [SV10: x_a > $o,SV46: x_a > $o] :
( ( ( ! [SY159: x_a] :
( ~ ( member_a @ SY159 @ SV46 )
| ( member_a @ SY159 @ SV10 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV46 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(547,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ~ ( ( SV11 != SV47 )
| ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(548,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ~ ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) )
| ( SV11 = SV47 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(549,plain,
! [SV12: x_a,SV48: x_a > $o] :
( ( ( finite_finite_a @ SV48 )
= $false )
| ( ( finite_finite_a @ ( insert_a @ SV12 @ SV48 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(550,plain,
! [SV100: x_a,SV49: x_a > $o,SV13: x_a] :
( ( ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 )
= ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(551,plain,
! [SV14: x_a > $o,SV50: x_a > $o] :
( ( ( finite_finite_a @ SV50 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV14 @ SV50 )
| ( finite_finite_a @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(552,plain,
! [SV15: x_a,SV79: x_a > $o,SV51: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV51 @ SV79 ) )
= $true )
| ( ( ~ ( member_a @ SV15 @ SV51 )
| ( member_a @ SV15 @ SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[515]) ).
thf(553,plain,
! [SV16: x_a > $o,SV80: x_a > $o,SV52: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV52 @ SV80 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV80 @ SV16 )
| ( ord_less_eq_a_o @ SV52 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[516]) ).
thf(554,plain,
! [SV81: x_a > $o,SV53: x_a,SV17: x_a] :
( ( ~ ( ~ ( member_a @ SV17 @ ( insert_a @ SV53 @ SV81 ) )
| ( SV17 = SV53 )
| ( member_a @ SV17 @ SV81 ) )
| ~ ( ~ ( ( SV17 = SV53 )
| ( member_a @ SV17 @ SV81 ) )
| ( member_a @ SV17 @ ( insert_a @ SV53 @ SV81 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(555,plain,
! [SV54: x_a > $o,SV18: x_a > $o] :
( ( ( SV18 = SV54 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(556,plain,
! [SV19: x_a,SV82: x_a > $o,SV55: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV55 @ SV82 ) )
= $true )
| ( ( ~ ( member_a @ SV19 @ SV55 )
| ( member_a @ SV19 @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[519]) ).
thf(557,plain,
! [SV20: x_a,SV83: x_a > $o,SV56: x_a] :
( ( ( ~ ( member_a @ SV56 @ SV83 ) )
= $true )
| ( ( member_a @ SV56 @ ( insert_a @ SV20 @ SV83 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(558,plain,
! [SV21: x_a > $o,SV84: x_a > $o,SV57: x_a] :
( ( ( ~ ( member_a @ SV57 @ SV84 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV84 @ SV21 )
| ( member_a @ SV57 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[521]) ).
thf(559,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ~ ( member_a @ SV58 @ SV85 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV58 @ SV22 )
| ~ ( ~ ( ( ( insert_a @ SV58 @ SV85 )
!= ( insert_a @ SV58 @ SV22 ) )
| ( SV85 = SV22 ) )
| ~ ( ( SV85 != SV22 )
| ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(560,plain,
! [SV59: x_a > $o,SV23: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV59 @ SV23 )
| ( SV23 = SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(561,plain,
! [SV60: x_a > $o,SV24: x_a] :
( ( ( member_a @ SV24 @ SV60 )
= $false )
| ( ( ( insert_a @ SV24 @ SV60 )
= SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(562,plain,
! [SV25: x_a,SV86: x_a > $o,SV61: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV61 @ SV86 ) )
= $true )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV25 @ SV61 ) @ ( insert_a @ SV25 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[525]) ).
thf(563,plain,
! [SV26: pname > x_a,SV87: pname > $o,SV62: pname] :
( ( ( ~ ( member_pname @ SV62 @ SV87 ) )
= $true )
| ( ( ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) )
= ( image_pname_a @ SV26 @ SV87 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(564,plain,
! [SV88: x_a,SV63: x_a > $o,SV27: x_a] :
( ( ~ ( ~ ( insert_a @ SV27 @ SV63 @ SV88 )
| ( SV27 = SV88 )
| ( SV63 @ SV88 ) )
| ~ ( ~ ( ( SV27 = SV88 )
| ( SV63 @ SV88 ) )
| ( insert_a @ SV27 @ SV63 @ SV88 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(565,plain,
! [SV28: x_a,SV89: x_a > $o,SV64: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV64 @ SV89 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV64 @ ( insert_a @ SV28 @ SV89 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[528]) ).
thf(566,plain,
! [SV90: x_a > $o,SV65: x_a,SV29: x_a] :
( ( ( ~ ( member_a @ SV29 @ ( insert_a @ SV65 @ SV90 ) ) )
= $true )
| ( ( ~ ( ( SV29 != SV65 ) )
| ( member_a @ SV29 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[529]) ).
thf(567,plain,
! [SV66: x_a > $o,SV30: x_a] :
( ( ~ ( ~ ( finite_finite_a @ ( insert_a @ SV30 @ SV66 ) )
| ( finite_finite_a @ SV66 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(568,plain,
! [SV30: x_a,SV66: x_a > $o] :
( ( ~ ( ~ ( finite_finite_a @ SV66 )
| ( finite_finite_a @ ( insert_a @ SV30 @ SV66 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(569,plain,
! [SV31: x_a,SV91: x_a > $o,SV67: x_a] :
( ( ( ~ ( ~ ~ ( member_a @ SV67 @ SV91 )
| ( SV67 = SV31 ) ) )
= $true )
| ( ( member_a @ SV67 @ ( insert_a @ SV31 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[531]) ).
thf(570,plain,
! [SV32: x_a,SV92: x_a > $o,SV68: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV68 @ SV92 ) )
= $true )
| ( ( ~ ( member_a @ SV32 @ SV68 )
| ( member_a @ SV32 @ SV92 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[532]) ).
thf(571,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV33: x_a > $o] :
( ( ~ ( ~ ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
| ~ ! [SY182: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY182 @ SV93 )
| ( SV33
!= ( image_pname_a @ SV69 @ SY182 ) ) ) )
| ~ ( ~ ~ ! [SY183: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY183 @ SV93 )
| ( SV33
!= ( image_pname_a @ SV69 @ SY183 ) ) )
| ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(572,plain,
! [SV34: pname > x_a,SV94: pname > $o,SV70: pname > $o] :
( ( ( ~ ( ord_less_eq_pname_o @ SV70 @ SV94 ) )
= $true )
| ( ( ord_less_eq_a_o @ ( image_pname_a @ SV34 @ SV70 ) @ ( image_pname_a @ SV34 @ SV94 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(573,plain,
! [SV71: x_a > $o,SV35: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV35 @ SV71 )
= $false )
| ( ( p @ SV71 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(574,plain,
! [SV72: x_a > $o,SV36: x_a > $o] :
( ( ( SV36 = SV72 )
= $false )
| ( ( ord_less_eq_a_o @ SV36 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(575,plain,
! [SV95: x_a > $o,SV73: x_a > $o,SV37: x_a] :
( ( ~ ( ~ ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SV95 )
| ~ ( ~ ( member_a @ SV37 @ SV95 )
| ~ ( ord_less_eq_a_o @ SV73 @ SV95 ) ) )
| ~ ( ~ ~ ( ~ ( member_a @ SV37 @ SV95 )
| ~ ( ord_less_eq_a_o @ SV73 @ SV95 ) )
| ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SV95 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(576,plain,
! [SV38: x_a > $o,SV96: x_a > $o,SV74: x_a] :
( ( ( ~ ~ ( member_a @ SV74 @ SV96 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV96 @ ( insert_a @ SV74 @ SV38 ) )
| ( ord_less_eq_a_o @ SV96 @ SV38 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SV96 @ SV38 )
| ( ord_less_eq_a_o @ SV96 @ ( insert_a @ SV74 @ SV38 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[538]) ).
thf(577,plain,
! [SV97: x_a,SV40: x_a > $o,SV2: x_a] :
( ( ~ ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 )
| ( insert_a @ SV2 @ SV40 @ SV97 ) )
| ~ ( ~ ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 )
| ~ ( insert_a @ SV2 @ SV40 @ SV97 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[539]) ).
thf(578,plain,
! [SV97: x_a,SV40: x_a > $o,SV2: x_a] :
( ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 )
= ( insert_a @ SV2 @ SV40 @ SV97 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[539]) ).
thf(579,plain,
! [SV101: x_a,SV76: x_a > $o,SV41: x_a,SV3: x_a] :
( ( ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 )
= ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(580,plain,
! [SV102: x_a,SV77: pname > $o,SV43: pname,SV6: pname > x_a] :
( ( ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 )
= ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(581,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( ! [SV103: x_a] :
( ( SV8 @ SV103 )
= ( SV44 @ SV103 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 )
| ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[544]) ).
thf(582,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( SV8 = SV44 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 )
| ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[544]) ).
thf(583,plain,
! [SV9: x_a > $o,SV45: x_a > $o] :
( ( ( ~ ( finite_finite_a @ SV45 ) )
= $true )
| ( ( finite_finite_a @ SV9 )
= $true )
| ( ( ord_less_eq_a_o @ SV9 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[545]) ).
thf(584,plain,
! [SV46: x_a > $o,SV10: x_a > $o] :
( ( ( ~ ( member_a @ ( sK1_SY159 @ SV10 @ SV46 ) @ SV46 )
| ( member_a @ ( sK1_SY159 @ SV10 @ SV46 ) @ SV10 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV46 @ SV10 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[546]) ).
thf(585,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( SV11 != SV47 )
| ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(586,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) )
| ( SV11 = SV47 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[548]) ).
thf(587,plain,
! [SV100: x_a,SV49: x_a > $o,SV13: x_a] :
( ( ~ ( ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 )
| ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 ) )
| ~ ( ~ ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 )
| ~ ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[550]) ).
thf(588,plain,
! [SV100: x_a,SV49: x_a > $o,SV13: x_a] :
( ( ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 )
= ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[550]) ).
thf(589,plain,
! [SV50: x_a > $o,SV14: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV14 @ SV50 ) )
= $true )
| ( ( finite_finite_a @ SV14 )
= $true )
| ( ( finite_finite_a @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[551]) ).
thf(590,plain,
! [SV15: x_a,SV79: x_a > $o,SV51: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV51 @ SV79 )
= $false )
| ( ( ~ ( member_a @ SV15 @ SV51 )
| ( member_a @ SV15 @ SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(591,plain,
! [SV16: x_a > $o,SV80: x_a > $o,SV52: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV52 @ SV80 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV80 @ SV16 )
| ( ord_less_eq_a_o @ SV52 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(592,plain,
! [SV81: x_a > $o,SV53: x_a,SV17: x_a] :
( ( ~ ( ~ ( member_a @ SV17 @ ( insert_a @ SV53 @ SV81 ) )
| ( SV17 = SV53 )
| ( member_a @ SV17 @ SV81 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(593,plain,
! [SV81: x_a > $o,SV53: x_a,SV17: x_a] :
( ( ~ ( ~ ( ( SV17 = SV53 )
| ( member_a @ SV17 @ SV81 ) )
| ( member_a @ SV17 @ ( insert_a @ SV53 @ SV81 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(594,plain,
! [SV54: x_a > $o,SV18: x_a > $o] :
( ( ( ! [SV104: x_a] :
( ( SV18 @ SV104 )
= ( SV54 @ SV104 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ SV18 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[555]) ).
thf(595,plain,
! [SV54: x_a > $o,SV18: x_a > $o] :
( ( ( SV18 = SV54 )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ SV18 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[555]) ).
thf(596,plain,
! [SV19: x_a,SV82: x_a > $o,SV55: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV55 @ SV82 )
= $false )
| ( ( ~ ( member_a @ SV19 @ SV55 )
| ( member_a @ SV19 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(597,plain,
! [SV20: x_a,SV83: x_a > $o,SV56: x_a] :
( ( ( member_a @ SV56 @ SV83 )
= $false )
| ( ( member_a @ SV56 @ ( insert_a @ SV20 @ SV83 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(598,plain,
! [SV21: x_a > $o,SV84: x_a > $o,SV57: x_a] :
( ( ( member_a @ SV57 @ SV84 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV84 @ SV21 )
| ( member_a @ SV57 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(599,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( member_a @ SV58 @ SV85 ) )
= $false )
| ( ( ~ ~ ( member_a @ SV58 @ SV22 )
| ~ ( ~ ( ( ( insert_a @ SV58 @ SV85 )
!= ( insert_a @ SV58 @ SV22 ) )
| ( SV85 = SV22 ) )
| ~ ( ( SV85 != SV22 )
| ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(600,plain,
! [SV23: x_a > $o,SV59: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV59 @ SV23 ) )
= $true )
| ( ( SV23 = SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[560]) ).
thf(601,plain,
! [SV60: x_a > $o,SV24: x_a] :
( ( ( ! [SV105: x_a] :
( ( insert_a @ SV24 @ SV60 @ SV105 )
= ( SV60 @ SV105 ) ) )
= $true )
| ( ( member_a @ SV24 @ SV60 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[561]) ).
thf(602,plain,
! [SV60: x_a > $o,SV24: x_a] :
( ( ( ( insert_a @ SV24 @ SV60 )
= SV60 )
= $true )
| ( ( member_a @ SV24 @ SV60 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[561]) ).
thf(603,plain,
! [SV25: x_a,SV86: x_a > $o,SV61: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV61 @ SV86 )
= $false )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV25 @ SV61 ) @ ( insert_a @ SV25 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(604,plain,
! [SV26: pname > x_a,SV87: pname > $o,SV62: pname] :
( ( ( member_pname @ SV62 @ SV87 )
= $false )
| ( ( ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) )
= ( image_pname_a @ SV26 @ SV87 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(605,plain,
! [SV88: x_a,SV63: x_a > $o,SV27: x_a] :
( ( ~ ( ~ ( insert_a @ SV27 @ SV63 @ SV88 )
| ( SV27 = SV88 )
| ( SV63 @ SV88 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(606,plain,
! [SV63: x_a > $o,SV88: x_a,SV27: x_a] :
( ( ~ ( ~ ( ( SV27 = SV88 )
| ( SV63 @ SV88 ) )
| ( insert_a @ SV27 @ SV63 @ SV88 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(607,plain,
! [SV28: x_a,SV89: x_a > $o,SV64: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV64 @ SV89 )
= $false )
| ( ( ord_less_eq_a_o @ SV64 @ ( insert_a @ SV28 @ SV89 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(608,plain,
! [SV90: x_a > $o,SV65: x_a,SV29: x_a] :
( ( ( member_a @ SV29 @ ( insert_a @ SV65 @ SV90 ) )
= $false )
| ( ( ~ ( ( SV29 != SV65 ) )
| ( member_a @ SV29 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(609,plain,
! [SV66: x_a > $o,SV30: x_a] :
( ( ~ ( finite_finite_a @ ( insert_a @ SV30 @ SV66 ) )
| ( finite_finite_a @ SV66 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(610,plain,
! [SV30: x_a,SV66: x_a > $o] :
( ( ~ ( finite_finite_a @ SV66 )
| ( finite_finite_a @ ( insert_a @ SV30 @ SV66 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(611,plain,
! [SV31: x_a,SV91: x_a > $o,SV67: x_a] :
( ( ( ~ ~ ( member_a @ SV67 @ SV91 )
| ( SV67 = SV31 ) )
= $false )
| ( ( member_a @ SV67 @ ( insert_a @ SV31 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(612,plain,
! [SV32: x_a,SV92: x_a > $o,SV68: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV68 @ SV92 )
= $false )
| ( ( ~ ( member_a @ SV32 @ SV68 )
| ( member_a @ SV32 @ SV92 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(613,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV33: x_a > $o] :
( ( ~ ( ~ ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
| ~ ! [SY182: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY182 @ SV93 )
| ( SV33
!= ( image_pname_a @ SV69 @ SY182 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[571]) ).
thf(614,plain,
! [SV69: pname > x_a,SV33: x_a > $o,SV93: pname > $o] :
( ( ~ ( ~ ~ ! [SY183: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY183 @ SV93 )
| ( SV33
!= ( image_pname_a @ SV69 @ SY183 ) ) )
| ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[571]) ).
thf(615,plain,
! [SV34: pname > x_a,SV94: pname > $o,SV70: pname > $o] :
( ( ( ord_less_eq_pname_o @ SV70 @ SV94 )
= $false )
| ( ( ord_less_eq_a_o @ ( image_pname_a @ SV34 @ SV70 ) @ ( image_pname_a @ SV34 @ SV94 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(616,plain,
! [SV72: x_a > $o,SV36: x_a > $o] :
( ( ( ! [SV106: x_a] :
( ( SV36 @ SV106 )
= ( SV72 @ SV106 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV36 @ SV72 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[574]) ).
thf(617,plain,
! [SV72: x_a > $o,SV36: x_a > $o] :
( ( ( SV36 = SV72 )
= $false )
| ( ( ord_less_eq_a_o @ SV36 @ SV72 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[574]) ).
thf(618,plain,
! [SV95: x_a > $o,SV73: x_a > $o,SV37: x_a] :
( ( ~ ( ~ ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SV95 )
| ~ ( ~ ( member_a @ SV37 @ SV95 )
| ~ ( ord_less_eq_a_o @ SV73 @ SV95 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[575]) ).
thf(619,plain,
! [SV73: x_a > $o,SV95: x_a > $o,SV37: x_a] :
( ( ~ ( ~ ~ ( ~ ( member_a @ SV37 @ SV95 )
| ~ ( ord_less_eq_a_o @ SV73 @ SV95 ) )
| ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SV95 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[575]) ).
thf(620,plain,
! [SV38: x_a > $o,SV96: x_a > $o,SV74: x_a] :
( ( ( ~ ( member_a @ SV74 @ SV96 ) )
= $false )
| ( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV96 @ ( insert_a @ SV74 @ SV38 ) )
| ( ord_less_eq_a_o @ SV96 @ SV38 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SV96 @ SV38 )
| ( ord_less_eq_a_o @ SV96 @ ( insert_a @ SV74 @ SV38 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(621,plain,
! [SV97: x_a,SV40: x_a > $o,SV2: x_a] :
( ( ( ~ ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 )
| ( insert_a @ SV2 @ SV40 @ SV97 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 )
| ~ ( insert_a @ SV2 @ SV40 @ SV97 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[577]) ).
thf(622,plain,
! [SV101: x_a,SV76: x_a > $o,SV41: x_a,SV3: x_a] :
( ( ~ ( ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 )
| ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 ) )
| ~ ( ~ ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 )
| ~ ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[579]) ).
thf(623,plain,
! [SV101: x_a,SV76: x_a > $o,SV41: x_a,SV3: x_a] :
( ( ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 )
= ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[579]) ).
thf(624,plain,
! [SV102: x_a,SV77: pname > $o,SV43: pname,SV6: pname > x_a] :
( ( ~ ( ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 )
| ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 ) )
| ~ ( ~ ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 )
| ~ ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[580]) ).
thf(625,plain,
! [SV102: x_a,SV77: pname > $o,SV43: pname,SV6: pname > x_a] :
( ( ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 )
= ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[580]) ).
thf(626,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 )
| ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[581]) ).
thf(627,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 )
| ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) )
= $false )
| ( ( SV8 = SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(628,plain,
! [SV9: x_a > $o,SV45: x_a > $o] :
( ( ( finite_finite_a @ SV45 )
= $false )
| ( ( finite_finite_a @ SV9 )
= $true )
| ( ( ord_less_eq_a_o @ SV9 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(629,plain,
! [SV46: x_a > $o,SV10: x_a > $o] :
( ( ( ~ ( member_a @ ( sK1_SY159 @ SV10 @ SV46 ) @ SV46 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV46 @ SV10 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(630,plain,
! [SV46: x_a > $o,SV10: x_a > $o] :
( ( ( member_a @ ( sK1_SY159 @ SV10 @ SV46 ) @ SV10 )
= $false )
| ( ( ord_less_eq_a_o @ SV46 @ SV10 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(631,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( SV11 != SV47 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[585]) ).
thf(632,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ~ ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) ) )
= $true )
| ( ( SV11 = SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[586]) ).
thf(633,plain,
! [SV100: x_a,SV49: x_a > $o,SV13: x_a] :
( ( ( ~ ( ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 )
| ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 )
| ~ ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[587]) ).
thf(634,plain,
! [SV50: x_a > $o,SV14: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV14 @ SV50 )
= $false )
| ( ( finite_finite_a @ SV14 )
= $true )
| ( ( finite_finite_a @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(635,plain,
! [SV79: x_a > $o,SV51: x_a > $o,SV15: x_a] :
( ( ( ~ ( member_a @ SV15 @ SV51 ) )
= $true )
| ( ( member_a @ SV15 @ SV79 )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ SV79 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[590]) ).
thf(636,plain,
! [SV52: x_a > $o,SV16: x_a > $o,SV80: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV80 @ SV16 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV52 @ SV16 )
= $true )
| ( ( ord_less_eq_a_o @ SV52 @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[591]) ).
thf(637,plain,
! [SV81: x_a > $o,SV53: x_a,SV17: x_a] :
( ( ~ ( member_a @ SV17 @ ( insert_a @ SV53 @ SV81 ) )
| ( SV17 = SV53 )
| ( member_a @ SV17 @ SV81 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[592]) ).
thf(638,plain,
! [SV81: x_a > $o,SV53: x_a,SV17: x_a] :
( ( ~ ( ( SV17 = SV53 )
| ( member_a @ SV17 @ SV81 ) )
| ( member_a @ SV17 @ ( insert_a @ SV53 @ SV81 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[593]) ).
thf(639,plain,
! [SV54: x_a > $o,SV18: x_a > $o] :
( ( ( ( SV18 @ ( sK3_SV104 @ SV54 @ SV18 ) )
= ( SV54 @ ( sK3_SV104 @ SV54 @ SV18 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ SV18 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[594]) ).
thf(640,plain,
! [SV82: x_a > $o,SV55: x_a > $o,SV19: x_a] :
( ( ( ~ ( member_a @ SV19 @ SV55 ) )
= $true )
| ( ( member_a @ SV19 @ SV82 )
= $true )
| ( ( ord_less_eq_a_o @ SV55 @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[596]) ).
thf(641,plain,
! [SV57: x_a,SV21: x_a > $o,SV84: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV84 @ SV21 ) )
= $true )
| ( ( member_a @ SV57 @ SV21 )
= $true )
| ( ( member_a @ SV57 @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[598]) ).
thf(642,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( member_a @ SV58 @ SV85 )
= $true )
| ( ( ~ ~ ( member_a @ SV58 @ SV22 )
| ~ ( ~ ( ( ( insert_a @ SV58 @ SV85 )
!= ( insert_a @ SV58 @ SV22 ) )
| ( SV85 = SV22 ) )
| ~ ( ( SV85 != SV22 )
| ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[599]) ).
thf(643,plain,
! [SV23: x_a > $o,SV59: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV59 @ SV23 )
= $false )
| ( ( SV23 = SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(644,plain,
! [SV107: x_a,SV60: x_a > $o,SV24: x_a] :
( ( ( ( insert_a @ SV24 @ SV60 @ SV107 )
= ( SV60 @ SV107 ) )
= $true )
| ( ( member_a @ SV24 @ SV60 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(645,plain,
! [SV87: pname > $o,SV62: pname,SV26: pname > x_a] :
( ( ( ! [SV108: x_a] :
( ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV108 )
= ( image_pname_a @ SV26 @ SV87 @ SV108 ) ) )
= $true )
| ( ( member_pname @ SV62 @ SV87 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[604]) ).
thf(646,plain,
! [SV87: pname > $o,SV62: pname,SV26: pname > x_a] :
( ( ( ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) )
= ( image_pname_a @ SV26 @ SV87 ) )
= $true )
| ( ( member_pname @ SV62 @ SV87 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[604]) ).
thf(647,plain,
! [SV88: x_a,SV63: x_a > $o,SV27: x_a] :
( ( ~ ( insert_a @ SV27 @ SV63 @ SV88 )
| ( SV27 = SV88 )
| ( SV63 @ SV88 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[605]) ).
thf(648,plain,
! [SV63: x_a > $o,SV88: x_a,SV27: x_a] :
( ( ~ ( ( SV27 = SV88 )
| ( SV63 @ SV88 ) )
| ( insert_a @ SV27 @ SV63 @ SV88 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[606]) ).
thf(649,plain,
! [SV90: x_a > $o,SV65: x_a,SV29: x_a] :
( ( ( ~ ( ( SV29 != SV65 ) ) )
= $true )
| ( ( member_a @ SV29 @ SV90 )
= $true )
| ( ( member_a @ SV29 @ ( insert_a @ SV65 @ SV90 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(650,plain,
! [SV66: x_a > $o,SV30: x_a] :
( ( ( ~ ( finite_finite_a @ ( insert_a @ SV30 @ SV66 ) ) )
= $true )
| ( ( finite_finite_a @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[609]) ).
thf(651,plain,
! [SV30: x_a,SV66: x_a > $o] :
( ( ( ~ ( finite_finite_a @ SV66 ) )
= $true )
| ( ( finite_finite_a @ ( insert_a @ SV30 @ SV66 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[610]) ).
thf(652,plain,
! [SV31: x_a,SV91: x_a > $o,SV67: x_a] :
( ( ( ~ ~ ( member_a @ SV67 @ SV91 ) )
= $false )
| ( ( member_a @ SV67 @ ( insert_a @ SV31 @ SV91 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[611]) ).
thf(653,plain,
! [SV91: x_a > $o,SV31: x_a,SV67: x_a] :
( ( ( SV67 = SV31 )
= $false )
| ( ( member_a @ SV67 @ ( insert_a @ SV31 @ SV91 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[611]) ).
thf(654,plain,
! [SV92: x_a > $o,SV68: x_a > $o,SV32: x_a] :
( ( ( ~ ( member_a @ SV32 @ SV68 ) )
= $true )
| ( ( member_a @ SV32 @ SV92 )
= $true )
| ( ( ord_less_eq_a_o @ SV68 @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[612]) ).
thf(655,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV33: x_a > $o] :
( ( ~ ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
| ~ ! [SY182: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY182 @ SV93 )
| ( SV33
!= ( image_pname_a @ SV69 @ SY182 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[613]) ).
thf(656,plain,
! [SV69: pname > x_a,SV33: x_a > $o,SV93: pname > $o] :
( ( ~ ~ ! [SY183: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY183 @ SV93 )
| ( SV33
!= ( image_pname_a @ SV69 @ SY183 ) ) )
| ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[614]) ).
thf(657,plain,
! [SV72: x_a > $o,SV36: x_a > $o] :
( ( ( ( SV36 @ ( sK4_SV106 @ SV72 @ SV36 ) )
= ( SV72 @ ( sK4_SV106 @ SV72 @ SV36 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV36 @ SV72 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[616]) ).
thf(658,plain,
! [SV95: x_a > $o,SV73: x_a > $o,SV37: x_a] :
( ( ~ ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SV95 )
| ~ ( ~ ( member_a @ SV37 @ SV95 )
| ~ ( ord_less_eq_a_o @ SV73 @ SV95 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[618]) ).
thf(659,plain,
! [SV73: x_a > $o,SV95: x_a > $o,SV37: x_a] :
( ( ~ ~ ( ~ ( member_a @ SV37 @ SV95 )
| ~ ( ord_less_eq_a_o @ SV73 @ SV95 ) )
| ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SV95 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[619]) ).
thf(660,plain,
! [SV38: x_a > $o,SV96: x_a > $o,SV74: x_a] :
( ( ( member_a @ SV74 @ SV96 )
= $true )
| ( ( ~ ( ~ ( ~ ( ord_less_eq_a_o @ SV96 @ ( insert_a @ SV74 @ SV38 ) )
| ( ord_less_eq_a_o @ SV96 @ SV38 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SV96 @ SV38 )
| ( ord_less_eq_a_o @ SV96 @ ( insert_a @ SV74 @ SV38 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[620]) ).
thf(661,plain,
! [SV97: x_a,SV40: x_a > $o,SV2: x_a] :
( ( ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 )
| ( insert_a @ SV2 @ SV40 @ SV97 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 )
| ~ ( insert_a @ SV2 @ SV40 @ SV97 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(662,plain,
! [SV101: x_a,SV76: x_a > $o,SV41: x_a,SV3: x_a] :
( ( ( ~ ( ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 )
| ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 )
| ~ ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(663,plain,
! [SV102: x_a,SV77: pname > $o,SV43: pname,SV6: pname > x_a] :
( ( ( ~ ( ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 )
| ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 ) ) )
= $true )
| ( ( ~ ( ~ ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 )
| ~ ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[624]) ).
thf(664,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( ~ ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
| ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) ) )
| ~ ( ~ ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
| ~ ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 )
| ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[626]) ).
thf(665,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 )
| ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[626]) ).
thf(666,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 ) )
= $false )
| ( ( SV8 = SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[627]) ).
thf(667,plain,
! [SV8: x_a > $o,SV44: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) )
= $false )
| ( ( SV8 = SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[627]) ).
thf(668,plain,
! [SV46: x_a > $o,SV10: x_a > $o] :
( ( ( member_a @ ( sK1_SY159 @ SV10 @ SV46 ) @ SV46 )
= $true )
| ( ( ord_less_eq_a_o @ SV46 @ SV10 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[629]) ).
thf(669,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( SV11 = SV47 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(670,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) ) )
= $false )
| ( ( SV11 = SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(671,plain,
! [SV100: x_a,SV49: x_a > $o,SV13: x_a] :
( ( ( ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 )
| ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 )
| ~ ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(672,plain,
! [SV79: x_a > $o,SV51: x_a > $o,SV15: x_a] :
( ( ( member_a @ SV15 @ SV51 )
= $false )
| ( ( member_a @ SV15 @ SV79 )
= $true )
| ( ( ord_less_eq_a_o @ SV51 @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(673,plain,
! [SV52: x_a > $o,SV16: x_a > $o,SV80: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV80 @ SV16 )
= $false )
| ( ( ord_less_eq_a_o @ SV52 @ SV16 )
= $true )
| ( ( ord_less_eq_a_o @ SV52 @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(674,plain,
! [SV81: x_a > $o,SV53: x_a,SV17: x_a] :
( ( ( ~ ( member_a @ SV17 @ ( insert_a @ SV53 @ SV81 ) ) )
= $true )
| ( ( ( SV17 = SV53 )
| ( member_a @ SV17 @ SV81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[637]) ).
thf(675,plain,
! [SV81: x_a > $o,SV53: x_a,SV17: x_a] :
( ( ( ~ ( ( SV17 = SV53 )
| ( member_a @ SV17 @ SV81 ) ) )
= $true )
| ( ( member_a @ SV17 @ ( insert_a @ SV53 @ SV81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[638]) ).
thf(676,plain,
! [SV54: x_a > $o,SV18: x_a > $o] :
( ( ( ~ ( ( SV18 @ ( sK3_SV104 @ SV54 @ SV18 ) )
| ( SV54 @ ( sK3_SV104 @ SV54 @ SV18 ) ) )
| ~ ( ~ ( SV18 @ ( sK3_SV104 @ SV54 @ SV18 ) )
| ~ ( SV54 @ ( sK3_SV104 @ SV54 @ SV18 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ SV18 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[639]) ).
thf(677,plain,
! [SV54: x_a > $o,SV18: x_a > $o] :
( ( ( ( SV18 @ ( sK3_SV104 @ SV54 @ SV18 ) )
= ( SV54 @ ( sK3_SV104 @ SV54 @ SV18 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ SV18 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[639]) ).
thf(678,plain,
! [SV82: x_a > $o,SV55: x_a > $o,SV19: x_a] :
( ( ( member_a @ SV19 @ SV55 )
= $false )
| ( ( member_a @ SV19 @ SV82 )
= $true )
| ( ( ord_less_eq_a_o @ SV55 @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(679,plain,
! [SV57: x_a,SV21: x_a > $o,SV84: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV84 @ SV21 )
= $false )
| ( ( member_a @ SV57 @ SV21 )
= $true )
| ( ( member_a @ SV57 @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[641]) ).
thf(680,plain,
! [SV85: x_a > $o,SV22: x_a > $o,SV58: x_a] :
( ( ( ~ ~ ( member_a @ SV58 @ SV22 ) )
= $true )
| ( ( ~ ( ~ ( ( ( insert_a @ SV58 @ SV85 )
!= ( insert_a @ SV58 @ SV22 ) )
| ( SV85 = SV22 ) )
| ~ ( ( SV85 != SV22 )
| ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) ) ) ) )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[642]) ).
thf(681,plain,
! [SV59: x_a > $o,SV23: x_a > $o] :
( ( ( ! [SV109: x_a] :
( ( SV23 @ SV109 )
= ( SV59 @ SV109 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[643]) ).
thf(682,plain,
! [SV59: x_a > $o,SV23: x_a > $o] :
( ( ( SV23 = SV59 )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[643]) ).
thf(683,plain,
! [SV107: x_a,SV60: x_a > $o,SV24: x_a] :
( ( ( ~ ( ( insert_a @ SV24 @ SV60 @ SV107 )
| ( SV60 @ SV107 ) )
| ~ ( ~ ( insert_a @ SV24 @ SV60 @ SV107 )
| ~ ( SV60 @ SV107 ) ) )
= $true )
| ( ( member_a @ SV24 @ SV60 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[644]) ).
thf(684,plain,
! [SV107: x_a,SV60: x_a > $o,SV24: x_a] :
( ( ( ( insert_a @ SV24 @ SV60 @ SV107 )
= ( SV60 @ SV107 ) )
= $true )
| ( ( member_a @ SV24 @ SV60 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[644]) ).
thf(685,plain,
! [SV110: x_a,SV87: pname > $o,SV62: pname,SV26: pname > x_a] :
( ( ( ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 )
= ( image_pname_a @ SV26 @ SV87 @ SV110 ) )
= $true )
| ( ( member_pname @ SV62 @ SV87 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(686,plain,
! [SV88: x_a,SV63: x_a > $o,SV27: x_a] :
( ( ( ~ ( insert_a @ SV27 @ SV63 @ SV88 ) )
= $true )
| ( ( ( SV27 = SV88 )
| ( SV63 @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[647]) ).
thf(687,plain,
! [SV63: x_a > $o,SV88: x_a,SV27: x_a] :
( ( ( ~ ( ( SV27 = SV88 )
| ( SV63 @ SV88 ) ) )
= $true )
| ( ( insert_a @ SV27 @ SV63 @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[648]) ).
thf(688,plain,
! [SV90: x_a > $o,SV65: x_a,SV29: x_a] :
( ( ( SV29 != SV65 )
= $false )
| ( ( member_a @ SV29 @ SV90 )
= $true )
| ( ( member_a @ SV29 @ ( insert_a @ SV65 @ SV90 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(689,plain,
! [SV66: x_a > $o,SV30: x_a] :
( ( ( finite_finite_a @ ( insert_a @ SV30 @ SV66 ) )
= $false )
| ( ( finite_finite_a @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(690,plain,
! [SV30: x_a,SV66: x_a > $o] :
( ( ( finite_finite_a @ SV66 )
= $false )
| ( ( finite_finite_a @ ( insert_a @ SV30 @ SV66 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(691,plain,
! [SV31: x_a,SV91: x_a > $o,SV67: x_a] :
( ( ( ~ ( member_a @ SV67 @ SV91 ) )
= $true )
| ( ( member_a @ SV67 @ ( insert_a @ SV31 @ SV91 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[652]) ).
thf(692,plain,
! [SV92: x_a > $o,SV68: x_a > $o,SV32: x_a] :
( ( ( member_a @ SV32 @ SV68 )
= $false )
| ( ( member_a @ SV32 @ SV92 )
= $true )
| ( ( ord_less_eq_a_o @ SV68 @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(693,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV33: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) ) )
= $true )
| ( ( ~ ! [SY182: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY182 @ SV93 )
| ( SV33
!= ( image_pname_a @ SV69 @ SY182 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[655]) ).
thf(694,plain,
! [SV69: pname > x_a,SV33: x_a > $o,SV93: pname > $o] :
( ( ( ~ ~ ! [SY183: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY183 @ SV93 )
| ( SV33
!= ( image_pname_a @ SV69 @ SY183 ) ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[656]) ).
thf(695,plain,
! [SV72: x_a > $o,SV36: x_a > $o] :
( ( ( ~ ( ( SV36 @ ( sK4_SV106 @ SV72 @ SV36 ) )
| ( SV72 @ ( sK4_SV106 @ SV72 @ SV36 ) ) )
| ~ ( ~ ( SV36 @ ( sK4_SV106 @ SV72 @ SV36 ) )
| ~ ( SV72 @ ( sK4_SV106 @ SV72 @ SV36 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV36 @ SV72 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[657]) ).
thf(696,plain,
! [SV72: x_a > $o,SV36: x_a > $o] :
( ( ( ( SV36 @ ( sK4_SV106 @ SV72 @ SV36 ) )
= ( SV72 @ ( sK4_SV106 @ SV72 @ SV36 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV36 @ SV72 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[657]) ).
thf(697,plain,
! [SV95: x_a > $o,SV73: x_a > $o,SV37: x_a] :
( ( ( ~ ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SV95 ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV37 @ SV95 )
| ~ ( ord_less_eq_a_o @ SV73 @ SV95 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[658]) ).
thf(698,plain,
! [SV73: x_a > $o,SV95: x_a > $o,SV37: x_a] :
( ( ( ~ ~ ( ~ ( member_a @ SV37 @ SV95 )
| ~ ( ord_less_eq_a_o @ SV73 @ SV95 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[659]) ).
thf(699,plain,
! [SV38: x_a > $o,SV74: x_a,SV96: x_a > $o] :
( ( ( ~ ( ~ ( ord_less_eq_a_o @ SV96 @ ( insert_a @ SV74 @ SV38 ) )
| ( ord_less_eq_a_o @ SV96 @ SV38 ) )
| ~ ( ~ ( ord_less_eq_a_o @ SV96 @ SV38 )
| ( ord_less_eq_a_o @ SV96 @ ( insert_a @ SV74 @ SV38 ) ) ) )
= $false )
| ( ( member_a @ SV74 @ SV96 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(700,plain,
! [SV97: x_a,SV40: x_a > $o,SV2: x_a] :
( ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 )
| ~ ( insert_a @ SV2 @ SV40 @ SV97 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(701,plain,
! [SV97: x_a,SV40: x_a > $o,SV2: x_a] :
( ( ( insert_a @ SV2 @ SV40 @ SV97 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 )
| ~ ( insert_a @ SV2 @ SV40 @ SV97 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(702,plain,
! [SV101: x_a,SV76: x_a > $o,SV41: x_a,SV3: x_a] :
( ( ( ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 )
| ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 )
| ~ ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[662]) ).
thf(703,plain,
! [SV102: x_a,SV77: pname > $o,SV43: pname,SV6: pname > x_a] :
( ( ( ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 )
| ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 ) )
= $false )
| ( ( ~ ( ~ ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 )
| ~ ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(704,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( ~ ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
| ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 )
| ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(705,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( ~ ( ~ ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
| ~ ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 )
| ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(706,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 )
| ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) )
= $false )
| ( ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(707,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV8 @ SV44 )
= $true )
| ( ( SV8 = SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[666]) ).
thf(708,plain,
! [SV8: x_a > $o,SV44: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV44 @ SV8 )
= $true )
| ( ( SV8 = SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[667]) ).
thf(709,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ! [SV111: x_a] :
( ( SV11 @ SV111 )
= ( SV47 @ SV111 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[669]) ).
thf(710,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( SV11 = SV47 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[669]) ).
thf(711,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) )
= $true )
| ( ( SV11 = SV47 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[670]) ).
thf(712,plain,
! [SV100: x_a,SV49: x_a > $o,SV13: x_a] :
( ( ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 )
| ~ ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(713,plain,
! [SV100: x_a,SV49: x_a > $o,SV13: x_a] :
( ( ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 )
| ~ ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(714,plain,
! [SV81: x_a > $o,SV53: x_a,SV17: x_a] :
( ( ( member_a @ SV17 @ ( insert_a @ SV53 @ SV81 ) )
= $false )
| ( ( ( SV17 = SV53 )
| ( member_a @ SV17 @ SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[674]) ).
thf(715,plain,
! [SV81: x_a > $o,SV53: x_a,SV17: x_a] :
( ( ( ( SV17 = SV53 )
| ( member_a @ SV17 @ SV81 ) )
= $false )
| ( ( member_a @ SV17 @ ( insert_a @ SV53 @ SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[675]) ).
thf(716,plain,
! [SV54: x_a > $o,SV18: x_a > $o] :
( ( ( ~ ( ( SV18 @ ( sK3_SV104 @ SV54 @ SV18 ) )
| ( SV54 @ ( sK3_SV104 @ SV54 @ SV18 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[676]) ).
thf(717,plain,
! [SV54: x_a > $o,SV18: x_a > $o] :
( ( ( ~ ( ~ ( SV18 @ ( sK3_SV104 @ SV54 @ SV18 ) )
| ~ ( SV54 @ ( sK3_SV104 @ SV54 @ SV18 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[676]) ).
thf(718,plain,
! [SV85: x_a > $o,SV22: x_a > $o,SV58: x_a] :
( ( ( ~ ( member_a @ SV58 @ SV22 ) )
= $false )
| ( ( ~ ( ~ ( ( ( insert_a @ SV58 @ SV85 )
!= ( insert_a @ SV58 @ SV22 ) )
| ( SV85 = SV22 ) )
| ~ ( ( SV85 != SV22 )
| ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) ) ) ) )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(719,plain,
! [SV59: x_a > $o,SV112: x_a,SV23: x_a > $o] :
( ( ( ( SV23 @ SV112 )
= ( SV59 @ SV112 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(720,plain,
! [SV107: x_a,SV60: x_a > $o,SV24: x_a] :
( ( ( ~ ( ( insert_a @ SV24 @ SV60 @ SV107 )
| ( SV60 @ SV107 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV24 @ SV60 @ SV107 )
| ~ ( SV60 @ SV107 ) ) )
= $true )
| ( ( member_a @ SV24 @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(721,plain,
! [SV110: x_a,SV87: pname > $o,SV62: pname,SV26: pname > x_a] :
( ( ( ~ ( ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 )
| ( image_pname_a @ SV26 @ SV87 @ SV110 ) )
| ~ ( ~ ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 )
| ~ ( image_pname_a @ SV26 @ SV87 @ SV110 ) ) )
= $true )
| ( ( member_pname @ SV62 @ SV87 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[685]) ).
thf(722,plain,
! [SV110: x_a,SV87: pname > $o,SV62: pname,SV26: pname > x_a] :
( ( ( ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 )
= ( image_pname_a @ SV26 @ SV87 @ SV110 ) )
= $true )
| ( ( member_pname @ SV62 @ SV87 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[685]) ).
thf(723,plain,
! [SV88: x_a,SV63: x_a > $o,SV27: x_a] :
( ( ( insert_a @ SV27 @ SV63 @ SV88 )
= $false )
| ( ( ( SV27 = SV88 )
| ( SV63 @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(724,plain,
! [SV63: x_a > $o,SV88: x_a,SV27: x_a] :
( ( ( ( SV27 = SV88 )
| ( SV63 @ SV88 ) )
= $false )
| ( ( insert_a @ SV27 @ SV63 @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[687]) ).
thf(725,plain,
! [SV90: x_a > $o,SV65: x_a,SV29: x_a] :
( ( ( SV29 = SV65 )
= $true )
| ( ( member_a @ SV29 @ SV90 )
= $true )
| ( ( member_a @ SV29 @ ( insert_a @ SV65 @ SV90 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[688]) ).
thf(726,plain,
! [SV31: x_a,SV91: x_a > $o,SV67: x_a] :
( ( ( member_a @ SV67 @ SV91 )
= $false )
| ( ( member_a @ SV67 @ ( insert_a @ SV31 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(727,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV33: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false )
| ( ( ~ ! [SY182: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY182 @ SV93 )
| ( SV33
!= ( image_pname_a @ SV69 @ SY182 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(728,plain,
! [SV69: pname > x_a,SV33: x_a > $o,SV93: pname > $o] :
( ( ( ~ ! [SY183: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY183 @ SV93 )
| ( SV33
!= ( image_pname_a @ SV69 @ SY183 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[694]) ).
thf(729,plain,
! [SV72: x_a > $o,SV36: x_a > $o] :
( ( ( ~ ( ( SV36 @ ( sK4_SV106 @ SV72 @ SV36 ) )
| ( SV72 @ ( sK4_SV106 @ SV72 @ SV36 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV36 @ SV72 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[695]) ).
thf(730,plain,
! [SV72: x_a > $o,SV36: x_a > $o] :
( ( ( ~ ( ~ ( SV36 @ ( sK4_SV106 @ SV72 @ SV36 ) )
| ~ ( SV72 @ ( sK4_SV106 @ SV72 @ SV36 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV36 @ SV72 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[695]) ).
thf(731,plain,
! [SV95: x_a > $o,SV73: x_a > $o,SV37: x_a] :
( ( ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SV95 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV37 @ SV95 )
| ~ ( ord_less_eq_a_o @ SV73 @ SV95 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(732,plain,
! [SV73: x_a > $o,SV95: x_a > $o,SV37: x_a] :
( ( ( ~ ( ~ ( member_a @ SV37 @ SV95 )
| ~ ( ord_less_eq_a_o @ SV73 @ SV95 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(733,plain,
! [SV38: x_a > $o,SV74: x_a,SV96: x_a > $o] :
( ( ( ~ ( ~ ( ord_less_eq_a_o @ SV96 @ ( insert_a @ SV74 @ SV38 ) )
| ( ord_less_eq_a_o @ SV96 @ SV38 ) ) )
= $false )
| ( ( member_a @ SV74 @ SV96 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[699]) ).
thf(734,plain,
! [SV74: x_a,SV38: x_a > $o,SV96: x_a > $o] :
( ( ( ~ ( ~ ( ord_less_eq_a_o @ SV96 @ SV38 )
| ( ord_less_eq_a_o @ SV96 @ ( insert_a @ SV74 @ SV38 ) ) ) )
= $false )
| ( ( member_a @ SV74 @ SV96 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[699]) ).
thf(735,plain,
! [SV97: x_a,SV40: x_a > $o,SV2: x_a] :
( ( ( ~ ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 )
| ~ ( insert_a @ SV2 @ SV40 @ SV97 ) )
= $false )
| ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[700]) ).
thf(736,plain,
! [SV97: x_a,SV40: x_a > $o,SV2: x_a] :
( ( ( ~ ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 )
| ~ ( insert_a @ SV2 @ SV40 @ SV97 ) )
= $false )
| ( ( insert_a @ SV2 @ SV40 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(737,plain,
! [SV101: x_a,SV76: x_a > $o,SV41: x_a,SV3: x_a] :
( ( ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 )
| ~ ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[702]) ).
thf(738,plain,
! [SV101: x_a,SV76: x_a > $o,SV3: x_a,SV41: x_a] :
( ( ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 )
| ~ ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[702]) ).
thf(739,plain,
! [SV102: x_a,SV77: pname > $o,SV43: pname,SV6: pname > x_a] :
( ( ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 )
= $false )
| ( ( ~ ( ~ ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 )
| ~ ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[703]) ).
thf(740,plain,
! [SV102: x_a,SV77: pname > $o,SV43: pname,SV6: pname > x_a] :
( ( ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 )
= $false )
| ( ( ~ ( ~ ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 )
| ~ ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[703]) ).
thf(741,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
| ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 )
| ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[704]) ).
thf(742,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( ~ ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
| ~ ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 )
| ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[705]) ).
thf(743,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 ) )
= $false )
| ( ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[706]) ).
thf(744,plain,
! [SV8: x_a > $o,SV44: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) )
= $false )
| ( ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[706]) ).
thf(745,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[709]) ).
thf(746,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) )
= $false )
| ( ( SV11 = SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(747,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) )
= $true )
| ( ( SV11 = SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[711]) ).
thf(748,plain,
! [SV100: x_a,SV49: x_a > $o,SV13: x_a] :
( ( ( ~ ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 )
| ~ ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 ) )
= $false )
| ( ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(749,plain,
! [SV100: x_a,SV49: x_a > $o,SV13: x_a] :
( ( ( ~ ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 )
| ~ ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 ) )
= $false )
| ( ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(750,plain,
! [SV81: x_a > $o,SV53: x_a,SV17: x_a] :
( ( ( SV17 = SV53 )
= $true )
| ( ( member_a @ SV17 @ SV81 )
= $true )
| ( ( member_a @ SV17 @ ( insert_a @ SV53 @ SV81 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[714]) ).
thf(751,plain,
! [SV81: x_a > $o,SV53: x_a,SV17: x_a] :
( ( ( SV17 = SV53 )
= $false )
| ( ( member_a @ SV17 @ ( insert_a @ SV53 @ SV81 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[715]) ).
thf(752,plain,
! [SV53: x_a,SV81: x_a > $o,SV17: x_a] :
( ( ( member_a @ SV17 @ SV81 )
= $false )
| ( ( member_a @ SV17 @ ( insert_a @ SV53 @ SV81 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[715]) ).
thf(753,plain,
! [SV54: x_a > $o,SV18: x_a > $o] :
( ( ( ( SV18 @ ( sK3_SV104 @ SV54 @ SV18 ) )
| ( SV54 @ ( sK3_SV104 @ SV54 @ SV18 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[716]) ).
thf(754,plain,
! [SV54: x_a > $o,SV18: x_a > $o] :
( ( ( ~ ( SV18 @ ( sK3_SV104 @ SV54 @ SV18 ) )
| ~ ( SV54 @ ( sK3_SV104 @ SV54 @ SV18 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[717]) ).
thf(755,plain,
! [SV85: x_a > $o,SV22: x_a > $o,SV58: x_a] :
( ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( ~ ( ~ ( ( ( insert_a @ SV58 @ SV85 )
!= ( insert_a @ SV58 @ SV22 ) )
| ( SV85 = SV22 ) )
| ~ ( ( SV85 != SV22 )
| ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) ) ) ) )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[718]) ).
thf(756,plain,
! [SV59: x_a > $o,SV112: x_a,SV23: x_a > $o] :
( ( ( ~ ( ( SV23 @ SV112 )
| ( SV59 @ SV112 ) )
| ~ ( ~ ( SV23 @ SV112 )
| ~ ( SV59 @ SV112 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[719]) ).
thf(757,plain,
! [SV59: x_a > $o,SV112: x_a,SV23: x_a > $o] :
( ( ( ( SV23 @ SV112 )
= ( SV59 @ SV112 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[719]) ).
thf(758,plain,
! [SV107: x_a,SV60: x_a > $o,SV24: x_a] :
( ( ( ( insert_a @ SV24 @ SV60 @ SV107 )
| ( SV60 @ SV107 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV24 @ SV60 @ SV107 )
| ~ ( SV60 @ SV107 ) ) )
= $true )
| ( ( member_a @ SV24 @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(759,plain,
! [SV110: x_a,SV87: pname > $o,SV62: pname,SV26: pname > x_a] :
( ( ( ~ ( ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 )
| ( image_pname_a @ SV26 @ SV87 @ SV110 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 )
| ~ ( image_pname_a @ SV26 @ SV87 @ SV110 ) ) )
= $true )
| ( ( member_pname @ SV62 @ SV87 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[721]) ).
thf(760,plain,
! [SV63: x_a > $o,SV88: x_a,SV27: x_a] :
( ( ( SV27 = SV88 )
= $true )
| ( ( SV63 @ SV88 )
= $true )
| ( ( insert_a @ SV27 @ SV63 @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[723]) ).
thf(761,plain,
! [SV63: x_a > $o,SV88: x_a,SV27: x_a] :
( ( ( SV27 = SV88 )
= $false )
| ( ( insert_a @ SV27 @ SV63 @ SV88 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[724]) ).
thf(762,plain,
! [SV27: x_a,SV88: x_a,SV63: x_a > $o] :
( ( ( SV63 @ SV88 )
= $false )
| ( ( insert_a @ SV27 @ SV63 @ SV88 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[724]) ).
thf(763,plain,
! [SV69: pname > x_a,SV33: x_a > $o,SV93: pname > $o] :
( ( ( ! [SY182: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY182 @ SV93 )
| ( SV33
!= ( image_pname_a @ SV69 @ SY182 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(764,plain,
! [SV69: pname > x_a,SV33: x_a > $o,SV93: pname > $o] :
( ( ( ! [SY183: pname > $o] :
~ ~ ( ~ ( ord_less_eq_pname_o @ SY183 @ SV93 )
| ( SV33
!= ( image_pname_a @ SV69 @ SY183 ) ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[728]) ).
thf(765,plain,
! [SV72: x_a > $o,SV36: x_a > $o] :
( ( ( ( SV36 @ ( sK4_SV106 @ SV72 @ SV36 ) )
| ( SV72 @ ( sK4_SV106 @ SV72 @ SV36 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV36 @ SV72 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[729]) ).
thf(766,plain,
! [SV72: x_a > $o,SV36: x_a > $o] :
( ( ( ~ ( SV36 @ ( sK4_SV106 @ SV72 @ SV36 ) )
| ~ ( SV72 @ ( sK4_SV106 @ SV72 @ SV36 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV36 @ SV72 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[730]) ).
thf(767,plain,
! [SV73: x_a > $o,SV95: x_a > $o,SV37: x_a] :
( ( ( ~ ( member_a @ SV37 @ SV95 )
| ~ ( ord_less_eq_a_o @ SV73 @ SV95 ) )
= $false )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SV95 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(768,plain,
! [SV73: x_a > $o,SV95: x_a > $o,SV37: x_a] :
( ( ( ~ ( member_a @ SV37 @ SV95 )
| ~ ( ord_less_eq_a_o @ SV73 @ SV95 ) )
= $true )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SV95 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[732]) ).
thf(769,plain,
! [SV38: x_a > $o,SV74: x_a,SV96: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV96 @ ( insert_a @ SV74 @ SV38 ) )
| ( ord_less_eq_a_o @ SV96 @ SV38 ) )
= $true )
| ( ( member_a @ SV74 @ SV96 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[733]) ).
thf(770,plain,
! [SV74: x_a,SV38: x_a > $o,SV96: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV96 @ SV38 )
| ( ord_less_eq_a_o @ SV96 @ ( insert_a @ SV74 @ SV38 ) ) )
= $true )
| ( ( member_a @ SV74 @ SV96 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[734]) ).
thf(771,plain,
! [SV97: x_a,SV40: x_a > $o,SV2: x_a] :
( ( ( ~ ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 ) )
= $false )
| ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(772,plain,
! [SV97: x_a,SV40: x_a > $o,SV2: x_a] :
( ( ( ~ ( insert_a @ SV2 @ SV40 @ SV97 ) )
= $false )
| ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(773,plain,
! [SV97: x_a,SV40: x_a > $o,SV2: x_a] :
( ( ( ~ ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 ) )
= $false )
| ( ( insert_a @ SV2 @ SV40 @ SV97 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[736]) ).
thf(774,plain,
! [SV97: x_a,SV40: x_a > $o,SV2: x_a] :
( ( ( ~ ( insert_a @ SV2 @ SV40 @ SV97 ) )
= $false )
| ( ( insert_a @ SV2 @ SV40 @ SV97 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[736]) ).
thf(775,plain,
! [SV101: x_a,SV76: x_a > $o,SV41: x_a,SV3: x_a] :
( ( ( ~ ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 )
| ~ ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 ) )
= $false )
| ( ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[737]) ).
thf(776,plain,
! [SV101: x_a,SV76: x_a > $o,SV41: x_a,SV3: x_a] :
( ( ( ~ ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 )
| ~ ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 ) )
= $false )
| ( ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(777,plain,
! [SV102: x_a,SV77: pname > $o,SV43: pname,SV6: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 )
| ~ ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 ) )
= $false )
| ( ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(778,plain,
! [SV102: x_a,SV77: pname > $o,SV43: pname,SV6: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 )
| ~ ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 ) )
= $false )
| ( ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(779,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $true )
| ( ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 )
| ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[741]) ).
thf(780,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( ~ ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) ) )
= $true )
| ( ( ~ ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 )
| ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[742]) ).
thf(781,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV8 @ SV44 )
= $true )
| ( ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[743]) ).
thf(782,plain,
! [SV8: x_a > $o,SV44: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV44 @ SV8 )
= $true )
| ( ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[744]) ).
thf(783,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ~ ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
| ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) ) )
| ~ ( ~ ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
| ~ ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[745]) ).
thf(784,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[745]) ).
thf(785,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 ) )
= $false )
| ( ( SV11 = SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[746]) ).
thf(786,plain,
! [SV11: x_a > $o,SV47: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) )
= $false )
| ( ( SV11 = SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[746]) ).
thf(787,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) )
= $true )
| ( ( SV11 = SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(788,plain,
! [SV100: x_a,SV49: x_a > $o,SV13: x_a] :
( ( ( ~ ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 ) )
= $false )
| ( ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[748]) ).
thf(789,plain,
! [SV100: x_a,SV49: x_a > $o,SV13: x_a] :
( ( ( ~ ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 ) )
= $false )
| ( ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[748]) ).
thf(790,plain,
! [SV100: x_a,SV49: x_a > $o,SV13: x_a] :
( ( ( ~ ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 ) )
= $false )
| ( ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[749]) ).
thf(791,plain,
! [SV100: x_a,SV49: x_a > $o,SV13: x_a] :
( ( ( ~ ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 ) )
= $false )
| ( ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[749]) ).
thf(792,plain,
! [SV54: x_a > $o,SV18: x_a > $o] :
( ( ( SV18 @ ( sK3_SV104 @ SV54 @ SV18 ) )
= $true )
| ( ( SV54 @ ( sK3_SV104 @ SV54 @ SV18 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[753]) ).
thf(793,plain,
! [SV54: x_a > $o,SV18: x_a > $o] :
( ( ( ~ ( SV18 @ ( sK3_SV104 @ SV54 @ SV18 ) ) )
= $true )
| ( ( ~ ( SV54 @ ( sK3_SV104 @ SV54 @ SV18 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[754]) ).
thf(794,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( ( ( insert_a @ SV58 @ SV85 )
!= ( insert_a @ SV58 @ SV22 ) )
| ( SV85 = SV22 ) )
| ~ ( ( SV85 != SV22 )
| ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(795,plain,
! [SV59: x_a > $o,SV112: x_a,SV23: x_a > $o] :
( ( ( ~ ( ( SV23 @ SV112 )
| ( SV59 @ SV112 ) ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV112 )
| ~ ( SV59 @ SV112 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[756]) ).
thf(796,plain,
! [SV107: x_a,SV60: x_a > $o,SV24: x_a] :
( ( ( insert_a @ SV24 @ SV60 @ SV107 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV24 @ SV60 @ SV107 )
| ~ ( SV60 @ SV107 ) ) )
= $true )
| ( ( member_a @ SV24 @ SV60 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(797,plain,
! [SV24: x_a,SV107: x_a,SV60: x_a > $o] :
( ( ( SV60 @ SV107 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV24 @ SV60 @ SV107 )
| ~ ( SV60 @ SV107 ) ) )
= $true )
| ( ( member_a @ SV24 @ SV60 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(798,plain,
! [SV110: x_a,SV87: pname > $o,SV62: pname,SV26: pname > x_a] :
( ( ( ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 )
| ( image_pname_a @ SV26 @ SV87 @ SV110 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 )
| ~ ( image_pname_a @ SV26 @ SV87 @ SV110 ) ) )
= $true )
| ( ( member_pname @ SV62 @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(799,plain,
! [SV93: pname > $o,SV33: x_a > $o,SV69: pname > x_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_pname_o @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV93 )
| ( SV33
!= ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[763]) ).
thf(800,plain,
! [SV69: pname > x_a,SV33: x_a > $o,SV93: pname > $o,SV113: pname > $o] :
( ( ( ~ ~ ( ~ ( ord_less_eq_pname_o @ SV113 @ SV93 )
| ( SV33
!= ( image_pname_a @ SV69 @ SV113 ) ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[764]) ).
thf(801,plain,
! [SV72: x_a > $o,SV36: x_a > $o] :
( ( ( SV36 @ ( sK4_SV106 @ SV72 @ SV36 ) )
= $true )
| ( ( SV72 @ ( sK4_SV106 @ SV72 @ SV36 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV36 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[765]) ).
thf(802,plain,
! [SV72: x_a > $o,SV36: x_a > $o] :
( ( ( ~ ( SV36 @ ( sK4_SV106 @ SV72 @ SV36 ) ) )
= $true )
| ( ( ~ ( SV72 @ ( sK4_SV106 @ SV72 @ SV36 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV36 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[766]) ).
thf(803,plain,
! [SV73: x_a > $o,SV95: x_a > $o,SV37: x_a] :
( ( ( ~ ( member_a @ SV37 @ SV95 ) )
= $false )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SV95 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(804,plain,
! [SV37: x_a,SV95: x_a > $o,SV73: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV73 @ SV95 ) )
= $false )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SV95 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(805,plain,
! [SV73: x_a > $o,SV95: x_a > $o,SV37: x_a] :
( ( ( ~ ( member_a @ SV37 @ SV95 ) )
= $true )
| ( ( ~ ( ord_less_eq_a_o @ SV73 @ SV95 ) )
= $true )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[768]) ).
thf(806,plain,
! [SV38: x_a > $o,SV74: x_a,SV96: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV96 @ ( insert_a @ SV74 @ SV38 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ SV38 )
= $true )
| ( ( member_a @ SV74 @ SV96 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[769]) ).
thf(807,plain,
! [SV74: x_a,SV38: x_a > $o,SV96: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV96 @ SV38 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV96 @ ( insert_a @ SV74 @ SV38 ) )
= $true )
| ( ( member_a @ SV74 @ SV96 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[770]) ).
thf(808,plain,
! [SV97: x_a,SV40: x_a > $o,SV2: x_a] :
( ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 )
= $true )
| ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[771]) ).
thf(809,plain,
! [SV97: x_a,SV40: x_a > $o,SV2: x_a] :
( ( ( insert_a @ SV2 @ SV40 @ SV97 )
= $true )
| ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[772]) ).
thf(810,plain,
! [SV97: x_a,SV40: x_a > $o,SV2: x_a] :
( ( ( insert_a @ SV2 @ ( insert_a @ SV2 @ SV40 ) @ SV97 )
= $true )
| ( ( insert_a @ SV2 @ SV40 @ SV97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[773]) ).
thf(811,plain,
! [SV97: x_a,SV40: x_a > $o,SV2: x_a] :
( ( ( insert_a @ SV2 @ SV40 @ SV97 )
= $true )
| ( ( insert_a @ SV2 @ SV40 @ SV97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[774]) ).
thf(812,plain,
! [SV101: x_a,SV76: x_a > $o,SV41: x_a,SV3: x_a] :
( ( ( ~ ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 ) )
= $false )
| ( ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[775]) ).
thf(813,plain,
! [SV101: x_a,SV76: x_a > $o,SV3: x_a,SV41: x_a] :
( ( ( ~ ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 ) )
= $false )
| ( ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[775]) ).
thf(814,plain,
! [SV101: x_a,SV76: x_a > $o,SV41: x_a,SV3: x_a] :
( ( ( ~ ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 ) )
= $false )
| ( ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[776]) ).
thf(815,plain,
! [SV101: x_a,SV76: x_a > $o,SV3: x_a,SV41: x_a] :
( ( ( ~ ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 ) )
= $false )
| ( ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[776]) ).
thf(816,plain,
! [SV102: x_a,SV77: pname > $o,SV43: pname,SV6: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 ) )
= $false )
| ( ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[777]) ).
thf(817,plain,
! [SV102: x_a,SV77: pname > $o,SV43: pname,SV6: pname > x_a] :
( ( ( ~ ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 ) )
= $false )
| ( ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[777]) ).
thf(818,plain,
! [SV102: x_a,SV77: pname > $o,SV43: pname,SV6: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 ) )
= $false )
| ( ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(819,plain,
! [SV102: x_a,SV77: pname > $o,SV43: pname,SV6: pname > x_a] :
( ( ( ~ ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 ) )
= $false )
| ( ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(820,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 )
| ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) )
= $false )
| ( ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(821,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $false )
| ( ( ~ ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 )
| ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(822,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ~ ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
| ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[783]) ).
thf(823,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ~ ( ~ ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
| ~ ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[783]) ).
thf(824,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) )
= $false )
| ( ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(825,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $true )
| ( ( SV11 = SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(826,plain,
! [SV11: x_a > $o,SV47: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $true )
| ( ( SV11 = SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[786]) ).
thf(827,plain,
! [SV11: x_a > $o,SV47: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $false )
| ( ( SV11 = SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(828,plain,
! [SV100: x_a,SV49: x_a > $o,SV13: x_a] :
( ( ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 )
= $true )
| ( ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[788]) ).
thf(829,plain,
! [SV100: x_a,SV49: x_a > $o,SV13: x_a] :
( ( ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 )
= $true )
| ( ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[789]) ).
thf(830,plain,
! [SV100: x_a,SV49: x_a > $o,SV13: x_a] :
( ( ( insert_a @ SV13 @ ( collect_a @ SV49 ) @ SV100 )
= $true )
| ( ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[790]) ).
thf(831,plain,
! [SV100: x_a,SV49: x_a > $o,SV13: x_a] :
( ( ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 )
= $true )
| ( ( collect_a
@ ^ [SY160: x_a] :
( ~ ( ( SY160 != SV13 ) )
| ( SV49 @ SY160 ) )
@ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[791]) ).
thf(832,plain,
! [SV54: x_a > $o,SV18: x_a > $o] :
( ( ( SV18 @ ( sK3_SV104 @ SV54 @ SV18 ) )
= $false )
| ( ( ~ ( SV54 @ ( sK3_SV104 @ SV54 @ SV18 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV54 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(833,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( ( ( insert_a @ SV58 @ SV85 )
!= ( insert_a @ SV58 @ SV22 ) )
| ( SV85 = SV22 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[794]) ).
thf(834,plain,
! [SV58: x_a,SV22: x_a > $o,SV85: x_a > $o] :
( ( ( ~ ( ( SV85 != SV22 )
| ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[794]) ).
thf(835,plain,
! [SV59: x_a > $o,SV112: x_a,SV23: x_a > $o] :
( ( ( ( SV23 @ SV112 )
| ( SV59 @ SV112 ) )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV112 )
| ~ ( SV59 @ SV112 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[795]) ).
thf(836,plain,
! [SV107: x_a,SV60: x_a > $o,SV24: x_a] :
( ( ( ~ ( insert_a @ SV24 @ SV60 @ SV107 )
| ~ ( SV60 @ SV107 ) )
= $false )
| ( ( insert_a @ SV24 @ SV60 @ SV107 )
= $false )
| ( ( member_a @ SV24 @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(837,plain,
! [SV107: x_a,SV60: x_a > $o,SV24: x_a] :
( ( ( ~ ( insert_a @ SV24 @ SV60 @ SV107 )
| ~ ( SV60 @ SV107 ) )
= $false )
| ( ( SV60 @ SV107 )
= $false )
| ( ( member_a @ SV24 @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[797]) ).
thf(838,plain,
! [SV110: x_a,SV87: pname > $o,SV62: pname,SV26: pname > x_a] :
( ( ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 )
= $false )
| ( ( ~ ( ~ ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 )
| ~ ( image_pname_a @ SV26 @ SV87 @ SV110 ) ) )
= $true )
| ( ( member_pname @ SV62 @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[798]) ).
thf(839,plain,
! [SV62: pname,SV110: x_a,SV87: pname > $o,SV26: pname > x_a] :
( ( ( image_pname_a @ SV26 @ SV87 @ SV110 )
= $false )
| ( ( ~ ( ~ ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 )
| ~ ( image_pname_a @ SV26 @ SV87 @ SV110 ) ) )
= $true )
| ( ( member_pname @ SV62 @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[798]) ).
thf(840,plain,
! [SV93: pname > $o,SV33: x_a > $o,SV69: pname > x_a] :
( ( ( ~ ( ~ ( ord_less_eq_pname_o @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV93 )
| ( SV33
!= ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) ) ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[799]) ).
thf(841,plain,
! [SV69: pname > x_a,SV33: x_a > $o,SV93: pname > $o,SV113: pname > $o] :
( ( ( ~ ( ~ ( ord_less_eq_pname_o @ SV113 @ SV93 )
| ( SV33
!= ( image_pname_a @ SV69 @ SV113 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(842,plain,
! [SV72: x_a > $o,SV36: x_a > $o] :
( ( ( SV36 @ ( sK4_SV106 @ SV72 @ SV36 ) )
= $false )
| ( ( ~ ( SV72 @ ( sK4_SV106 @ SV72 @ SV36 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV36 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(843,plain,
! [SV73: x_a > $o,SV95: x_a > $o,SV37: x_a] :
( ( ( member_a @ SV37 @ SV95 )
= $true )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SV95 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[803]) ).
thf(844,plain,
! [SV37: x_a,SV95: x_a > $o,SV73: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV73 @ SV95 )
= $true )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SV95 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[804]) ).
thf(845,plain,
! [SV73: x_a > $o,SV95: x_a > $o,SV37: x_a] :
( ( ( member_a @ SV37 @ SV95 )
= $false )
| ( ( ~ ( ord_less_eq_a_o @ SV73 @ SV95 ) )
= $true )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[805]) ).
thf(846,plain,
! [SV38: x_a > $o,SV74: x_a,SV96: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV96 @ ( insert_a @ SV74 @ SV38 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV96 @ SV38 )
= $true )
| ( ( member_a @ SV74 @ SV96 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[806]) ).
thf(847,plain,
! [SV74: x_a,SV38: x_a > $o,SV96: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV96 @ SV38 )
= $false )
| ( ( ord_less_eq_a_o @ SV96 @ ( insert_a @ SV74 @ SV38 ) )
= $true )
| ( ( member_a @ SV74 @ SV96 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[807]) ).
thf(848,plain,
! [SV101: x_a,SV76: x_a > $o,SV41: x_a,SV3: x_a] :
( ( ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 )
= $true )
| ( ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[812]) ).
thf(849,plain,
! [SV101: x_a,SV76: x_a > $o,SV3: x_a,SV41: x_a] :
( ( ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 )
= $true )
| ( ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[813]) ).
thf(850,plain,
! [SV101: x_a,SV76: x_a > $o,SV41: x_a,SV3: x_a] :
( ( ( insert_a @ SV3 @ ( insert_a @ SV41 @ SV76 ) @ SV101 )
= $true )
| ( ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[814]) ).
thf(851,plain,
! [SV101: x_a,SV76: x_a > $o,SV3: x_a,SV41: x_a] :
( ( ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 )
= $true )
| ( ( insert_a @ SV41 @ ( insert_a @ SV3 @ SV76 ) @ SV101 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[815]) ).
thf(852,plain,
! [SV102: x_a,SV77: pname > $o,SV43: pname,SV6: pname > x_a] :
( ( ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 )
= $true )
| ( ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[816]) ).
thf(853,plain,
! [SV102: x_a,SV77: pname > $o,SV43: pname,SV6: pname > x_a] :
( ( ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 )
= $true )
| ( ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[817]) ).
thf(854,plain,
! [SV102: x_a,SV77: pname > $o,SV43: pname,SV6: pname > x_a] :
( ( ( image_pname_a @ SV6 @ ( insert_pname @ SV43 @ SV77 ) @ SV102 )
= $true )
| ( ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[818]) ).
thf(855,plain,
! [SV102: x_a,SV77: pname > $o,SV43: pname,SV6: pname > x_a] :
( ( ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 )
= $true )
| ( ( insert_a @ ( SV6 @ SV43 ) @ ( image_pname_a @ SV6 @ SV77 ) @ SV102 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[819]) ).
thf(856,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 ) )
= $false )
| ( ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(857,plain,
! [SV8: x_a > $o,SV44: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) )
= $false )
| ( ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(858,plain,
! [SV8: x_a > $o,SV44: x_a > $o] :
( ( ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 )
| ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[821]) ).
thf(859,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
| ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[822]) ).
thf(860,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ~ ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
| ~ ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[823]) ).
thf(861,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 ) )
= $false )
| ( ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[824]) ).
thf(862,plain,
! [SV11: x_a > $o,SV47: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) )
= $false )
| ( ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[824]) ).
thf(863,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ! [SV114: x_a] :
( ( SV11 @ SV114 )
= ( SV47 @ SV114 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $false )
| ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[827]) ).
thf(864,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( SV11 = SV47 )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $false )
| ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[827]) ).
thf(865,plain,
! [SV18: x_a > $o,SV54: x_a > $o] :
( ( ( SV54 @ ( sK3_SV104 @ SV54 @ SV18 ) )
= $false )
| ( ( SV18 @ ( sK3_SV104 @ SV54 @ SV18 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV54 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(866,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ( ( insert_a @ SV58 @ SV85 )
!= ( insert_a @ SV58 @ SV22 ) )
| ( SV85 = SV22 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[833]) ).
thf(867,plain,
! [SV58: x_a,SV22: x_a > $o,SV85: x_a > $o] :
( ( ( ( SV85 != SV22 )
| ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[834]) ).
thf(868,plain,
! [SV59: x_a > $o,SV112: x_a,SV23: x_a > $o] :
( ( ( SV23 @ SV112 )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV112 )
| ~ ( SV59 @ SV112 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[835]) ).
thf(869,plain,
! [SV23: x_a > $o,SV112: x_a,SV59: x_a > $o] :
( ( ( SV59 @ SV112 )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV112 )
| ~ ( SV59 @ SV112 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV59 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[835]) ).
thf(870,plain,
! [SV107: x_a,SV60: x_a > $o,SV24: x_a] :
( ( ( ~ ( insert_a @ SV24 @ SV60 @ SV107 ) )
= $false )
| ( ( insert_a @ SV24 @ SV60 @ SV107 )
= $false )
| ( ( member_a @ SV24 @ SV60 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(871,plain,
! [SV24: x_a,SV107: x_a,SV60: x_a > $o] :
( ( ( ~ ( SV60 @ SV107 ) )
= $false )
| ( ( insert_a @ SV24 @ SV60 @ SV107 )
= $false )
| ( ( member_a @ SV24 @ SV60 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(872,plain,
! [SV107: x_a,SV60: x_a > $o,SV24: x_a] :
( ( ( ~ ( insert_a @ SV24 @ SV60 @ SV107 ) )
= $false )
| ( ( SV60 @ SV107 )
= $false )
| ( ( member_a @ SV24 @ SV60 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[837]) ).
thf(873,plain,
! [SV24: x_a,SV107: x_a,SV60: x_a > $o] :
( ( ( ~ ( SV60 @ SV107 ) )
= $false )
| ( ( SV60 @ SV107 )
= $false )
| ( ( member_a @ SV24 @ SV60 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[837]) ).
thf(874,plain,
! [SV110: x_a,SV87: pname > $o,SV62: pname,SV26: pname > x_a] :
( ( ( ~ ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 )
| ~ ( image_pname_a @ SV26 @ SV87 @ SV110 ) )
= $false )
| ( ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 )
= $false )
| ( ( member_pname @ SV62 @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(875,plain,
! [SV110: x_a,SV87: pname > $o,SV62: pname,SV26: pname > x_a] :
( ( ( ~ ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 )
| ~ ( image_pname_a @ SV26 @ SV87 @ SV110 ) )
= $false )
| ( ( image_pname_a @ SV26 @ SV87 @ SV110 )
= $false )
| ( ( member_pname @ SV62 @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[839]) ).
thf(876,plain,
! [SV93: pname > $o,SV33: x_a > $o,SV69: pname > x_a] :
( ( ( ~ ( ord_less_eq_pname_o @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV93 )
| ( SV33
!= ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(877,plain,
! [SV69: pname > x_a,SV33: x_a > $o,SV93: pname > $o,SV113: pname > $o] :
( ( ( ~ ( ord_less_eq_pname_o @ SV113 @ SV93 )
| ( SV33
!= ( image_pname_a @ SV69 @ SV113 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[841]) ).
thf(878,plain,
! [SV36: x_a > $o,SV72: x_a > $o] :
( ( ( SV72 @ ( sK4_SV106 @ SV72 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK4_SV106 @ SV72 @ SV36 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV36 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(879,plain,
! [SV37: x_a,SV95: x_a > $o,SV73: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV73 @ SV95 )
= $false )
| ( ( member_a @ SV37 @ SV95 )
= $false )
| ( ( ord_less_eq_a_o @ ( insert_a @ SV37 @ SV73 ) @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(880,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV8 @ SV44 )
= $true )
| ( ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[856]) ).
thf(881,plain,
! [SV8: x_a > $o,SV44: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV44 @ SV8 )
= $true )
| ( ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[857]) ).
thf(882,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 )
| ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $false )
| ( ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(883,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $true )
| ( ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[859]) ).
thf(884,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ~ ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) ) )
= $true )
| ( ( ~ ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[860]) ).
thf(885,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $true )
| ( ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[861]) ).
thf(886,plain,
! [SV11: x_a > $o,SV47: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $true )
| ( ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[862]) ).
thf(887,plain,
! [SV47: x_a > $o,SV115: x_a,SV11: x_a > $o] :
( ( ( ( SV11 @ SV115 )
= ( SV47 @ SV115 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $false )
| ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[863]) ).
thf(888,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 )
!= ( insert_a @ SV58 @ SV22 ) )
= $true )
| ( ( SV85 = SV22 )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[866]) ).
thf(889,plain,
! [SV58: x_a,SV22: x_a > $o,SV85: x_a > $o] :
( ( ( SV85 != SV22 )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[867]) ).
thf(890,plain,
! [SV59: x_a > $o,SV112: x_a,SV23: x_a > $o] :
( ( ( ~ ( SV23 @ SV112 )
| ~ ( SV59 @ SV112 ) )
= $false )
| ( ( SV23 @ SV112 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(891,plain,
! [SV59: x_a > $o,SV112: x_a,SV23: x_a > $o] :
( ( ( ~ ( SV23 @ SV112 )
| ~ ( SV59 @ SV112 ) )
= $false )
| ( ( SV59 @ SV112 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(892,plain,
! [SV107: x_a,SV60: x_a > $o,SV24: x_a] :
( ( ( insert_a @ SV24 @ SV60 @ SV107 )
= $true )
| ( ( insert_a @ SV24 @ SV60 @ SV107 )
= $false )
| ( ( member_a @ SV24 @ SV60 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[870]) ).
thf(893,plain,
! [SV24: x_a,SV107: x_a,SV60: x_a > $o] :
( ( ( SV60 @ SV107 )
= $true )
| ( ( insert_a @ SV24 @ SV60 @ SV107 )
= $false )
| ( ( member_a @ SV24 @ SV60 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[871]) ).
thf(894,plain,
! [SV107: x_a,SV60: x_a > $o,SV24: x_a] :
( ( ( insert_a @ SV24 @ SV60 @ SV107 )
= $true )
| ( ( SV60 @ SV107 )
= $false )
| ( ( member_a @ SV24 @ SV60 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[872]) ).
thf(895,plain,
! [SV24: x_a,SV107: x_a,SV60: x_a > $o] :
( ( ( SV60 @ SV107 )
= $true )
| ( ( SV60 @ SV107 )
= $false )
| ( ( member_a @ SV24 @ SV60 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[873]) ).
thf(896,plain,
! [SV110: x_a,SV87: pname > $o,SV62: pname,SV26: pname > x_a] :
( ( ( ~ ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 ) )
= $false )
| ( ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 )
= $false )
| ( ( member_pname @ SV62 @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[874]) ).
thf(897,plain,
! [SV62: pname,SV110: x_a,SV87: pname > $o,SV26: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV26 @ SV87 @ SV110 ) )
= $false )
| ( ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 )
= $false )
| ( ( member_pname @ SV62 @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[874]) ).
thf(898,plain,
! [SV110: x_a,SV87: pname > $o,SV62: pname,SV26: pname > x_a] :
( ( ( ~ ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 ) )
= $false )
| ( ( image_pname_a @ SV26 @ SV87 @ SV110 )
= $false )
| ( ( member_pname @ SV62 @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(899,plain,
! [SV62: pname,SV110: x_a,SV87: pname > $o,SV26: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV26 @ SV87 @ SV110 ) )
= $false )
| ( ( image_pname_a @ SV26 @ SV87 @ SV110 )
= $false )
| ( ( member_pname @ SV62 @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(900,plain,
! [SV93: pname > $o,SV33: x_a > $o,SV69: pname > x_a] :
( ( ( ~ ( ord_less_eq_pname_o @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV93 ) )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[876]) ).
thf(901,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV33: x_a > $o] :
( ( ( SV33
!= ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) ) )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[876]) ).
thf(902,plain,
! [SV69: pname > x_a,SV33: x_a > $o,SV93: pname > $o,SV113: pname > $o] :
( ( ( ~ ( ord_less_eq_pname_o @ SV113 @ SV93 ) )
= $true )
| ( ( SV33
!= ( image_pname_a @ SV69 @ SV113 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[877]) ).
thf(903,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV8 @ SV44 ) )
= $false )
| ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $false )
| ( ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[882]) ).
thf(904,plain,
! [SV8: x_a > $o,SV44: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV44 @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $false )
| ( ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[882]) ).
thf(905,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) )
= $false )
| ( ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $true )
| ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(906,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $false )
| ( ( ~ ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(907,plain,
! [SV47: x_a > $o,SV115: x_a,SV11: x_a > $o] :
( ( ( ~ ( ( SV11 @ SV115 )
| ( SV47 @ SV115 ) )
| ~ ( ~ ( SV11 @ SV115 )
| ~ ( SV47 @ SV115 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $false )
| ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[887]) ).
thf(908,plain,
! [SV47: x_a > $o,SV115: x_a,SV11: x_a > $o] :
( ( ( ( SV11 @ SV115 )
= ( SV47 @ SV115 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $false )
| ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[887]) ).
thf(909,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $false )
| ( ( SV85 = SV22 )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[888]) ).
thf(910,plain,
! [SV58: x_a,SV22: x_a > $o,SV85: x_a > $o] :
( ( ( SV85 = SV22 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[889]) ).
thf(911,plain,
! [SV59: x_a > $o,SV112: x_a,SV23: x_a > $o] :
( ( ( ~ ( SV23 @ SV112 ) )
= $false )
| ( ( SV23 @ SV112 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[890]) ).
thf(912,plain,
! [SV23: x_a > $o,SV112: x_a,SV59: x_a > $o] :
( ( ( ~ ( SV59 @ SV112 ) )
= $false )
| ( ( SV23 @ SV112 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[890]) ).
thf(913,plain,
! [SV59: x_a > $o,SV112: x_a,SV23: x_a > $o] :
( ( ( ~ ( SV23 @ SV112 ) )
= $false )
| ( ( SV59 @ SV112 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(914,plain,
! [SV23: x_a > $o,SV112: x_a,SV59: x_a > $o] :
( ( ( ~ ( SV59 @ SV112 ) )
= $false )
| ( ( SV59 @ SV112 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(915,plain,
! [SV110: x_a,SV87: pname > $o,SV62: pname,SV26: pname > x_a] :
( ( ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 )
= $true )
| ( ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 )
= $false )
| ( ( member_pname @ SV62 @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[896]) ).
thf(916,plain,
! [SV62: pname,SV110: x_a,SV87: pname > $o,SV26: pname > x_a] :
( ( ( image_pname_a @ SV26 @ SV87 @ SV110 )
= $true )
| ( ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 )
= $false )
| ( ( member_pname @ SV62 @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[897]) ).
thf(917,plain,
! [SV110: x_a,SV87: pname > $o,SV62: pname,SV26: pname > x_a] :
( ( ( insert_a @ ( SV26 @ SV62 ) @ ( image_pname_a @ SV26 @ SV87 ) @ SV110 )
= $true )
| ( ( image_pname_a @ SV26 @ SV87 @ SV110 )
= $false )
| ( ( member_pname @ SV62 @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[898]) ).
thf(918,plain,
! [SV62: pname,SV110: x_a,SV87: pname > $o,SV26: pname > x_a] :
( ( ( image_pname_a @ SV26 @ SV87 @ SV110 )
= $true )
| ( ( image_pname_a @ SV26 @ SV87 @ SV110 )
= $false )
| ( ( member_pname @ SV62 @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[899]) ).
thf(919,plain,
! [SV93: pname > $o,SV33: x_a > $o,SV69: pname > x_a] :
( ( ( ord_less_eq_pname_o @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV93 )
= $true )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[900]) ).
thf(920,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV33: x_a > $o] :
( ( ( SV33
= ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[901]) ).
thf(921,plain,
! [SV69: pname > x_a,SV33: x_a > $o,SV93: pname > $o,SV113: pname > $o] :
( ( ( ord_less_eq_pname_o @ SV113 @ SV93 )
= $false )
| ( ( SV33
!= ( image_pname_a @ SV69 @ SV113 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(922,plain,
! [SV44: x_a > $o,SV8: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV8 @ SV44 )
= $true )
| ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $false )
| ( ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[903]) ).
thf(923,plain,
! [SV8: x_a > $o,SV44: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV44 @ SV8 )
= $true )
| ( ( SV8 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $false )
| ( ( SV44 @ ( sK2_SV103 @ SV44 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[904]) ).
thf(924,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 ) )
= $false )
| ( ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $true )
| ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(925,plain,
! [SV11: x_a > $o,SV47: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) )
= $false )
| ( ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $true )
| ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(926,plain,
! [SV11: x_a > $o,SV47: x_a > $o] :
( ( ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $false )
| ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(927,plain,
! [SV47: x_a > $o,SV115: x_a,SV11: x_a > $o] :
( ( ( ~ ( ( SV11 @ SV115 )
| ( SV47 @ SV115 ) ) )
= $true )
| ( ( ~ ( ~ ( SV11 @ SV115 )
| ~ ( SV47 @ SV115 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $false )
| ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[907]) ).
thf(928,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ! [SV116: x_a] :
( ( insert_a @ SV58 @ SV85 @ SV116 )
= ( insert_a @ SV58 @ SV22 @ SV116 ) ) )
= $false )
| ( ( SV85 = SV22 )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[909]) ).
thf(929,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $false )
| ( ( SV85 = SV22 )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[909]) ).
thf(930,plain,
! [SV58: x_a,SV22: x_a > $o,SV85: x_a > $o] :
( ( ( ! [SV117: x_a] :
( ( SV85 @ SV117 )
= ( SV22 @ SV117 ) ) )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[910]) ).
thf(931,plain,
! [SV58: x_a,SV22: x_a > $o,SV85: x_a > $o] :
( ( ( SV85 = SV22 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[910]) ).
thf(932,plain,
! [SV59: x_a > $o,SV112: x_a,SV23: x_a > $o] :
( ( ( SV23 @ SV112 )
= $true )
| ( ( SV23 @ SV112 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[911]) ).
thf(933,plain,
! [SV23: x_a > $o,SV112: x_a,SV59: x_a > $o] :
( ( ( SV59 @ SV112 )
= $true )
| ( ( SV23 @ SV112 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[912]) ).
thf(934,plain,
! [SV59: x_a > $o,SV112: x_a,SV23: x_a > $o] :
( ( ( SV23 @ SV112 )
= $true )
| ( ( SV59 @ SV112 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[913]) ).
thf(935,plain,
! [SV23: x_a > $o,SV112: x_a,SV59: x_a > $o] :
( ( ( SV59 @ SV112 )
= $true )
| ( ( SV59 @ SV112 )
= $false )
| ( ( ord_less_eq_a_o @ SV59 @ SV23 )
= $false )
| ( ( ord_less_eq_a_o @ SV23 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[914]) ).
thf(936,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV33: x_a > $o] :
( ( ( ! [SV118: x_a] :
( ( SV33 @ SV118 )
= ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV118 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[920]) ).
thf(937,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV33: x_a > $o] :
( ( ( SV33
= ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[920]) ).
thf(938,plain,
! [SV93: pname > $o,SV113: pname > $o,SV69: pname > x_a,SV33: x_a > $o] :
( ( ( SV33
= ( image_pname_a @ SV69 @ SV113 ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV113 @ SV93 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(939,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $true )
| ( ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $true )
| ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[924]) ).
thf(940,plain,
! [SV11: x_a > $o,SV47: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $true )
| ( ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $true )
| ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[925]) ).
thf(941,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 )
| ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) )
= $false )
| ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $false )
| ( ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[926]) ).
thf(942,plain,
! [SV47: x_a > $o,SV115: x_a,SV11: x_a > $o] :
( ( ( ( SV11 @ SV115 )
| ( SV47 @ SV115 ) )
= $false )
| ( ( ~ ( ~ ( SV11 @ SV115 )
| ~ ( SV47 @ SV115 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $false )
| ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[927]) ).
thf(943,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $false )
| ( ( SV85 = SV22 )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[928]) ).
thf(944,plain,
! [SV58: x_a,SV22: x_a > $o,SV85: x_a > $o] :
( ( ( ! [SV119: x_a] :
( ( SV85 @ SV119 )
= ( SV22 @ SV119 ) ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[929]) ).
thf(945,plain,
! [SV58: x_a,SV22: x_a > $o,SV85: x_a > $o] :
( ( ( SV85 = SV22 )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[929]) ).
thf(946,plain,
! [SV22: x_a > $o,SV58: x_a,SV85: x_a > $o] :
( ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[930]) ).
thf(947,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ! [SV120: x_a] :
( ( insert_a @ SV58 @ SV85 @ SV120 )
= ( insert_a @ SV58 @ SV22 @ SV120 ) ) )
= $true )
| ( ( SV85 = SV22 )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[931]) ).
thf(948,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $true )
| ( ( SV85 = SV22 )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[931]) ).
thf(949,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV121: x_a,SV33: x_a > $o] :
( ( ( ( SV33 @ SV121 )
= ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(950,plain,
! [SV93: pname > $o,SV113: pname > $o,SV69: pname > x_a,SV33: x_a > $o] :
( ( ( ! [SV122: x_a] :
( ( SV33 @ SV122 )
= ( image_pname_a @ SV69 @ SV113 @ SV122 ) ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV113 @ SV93 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[938]) ).
thf(951,plain,
! [SV93: pname > $o,SV113: pname > $o,SV69: pname > x_a,SV33: x_a > $o] :
( ( ( SV33
= ( image_pname_a @ SV69 @ SV113 ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV113 @ SV93 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[938]) ).
thf(952,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV11 @ SV47 ) )
= $false )
| ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $false )
| ( ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(953,plain,
! [SV11: x_a > $o,SV47: x_a > $o] :
( ( ( ~ ( ord_less_eq_a_o @ SV47 @ SV11 ) )
= $false )
| ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $false )
| ( ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(954,plain,
! [SV47: x_a > $o,SV115: x_a,SV11: x_a > $o] :
( ( ( SV11 @ SV115 )
= $false )
| ( ( ~ ( ~ ( SV11 @ SV115 )
| ~ ( SV47 @ SV115 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $false )
| ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[942]) ).
thf(955,plain,
! [SV11: x_a > $o,SV115: x_a,SV47: x_a > $o] :
( ( ( SV47 @ SV115 )
= $false )
| ( ( ~ ( ~ ( SV11 @ SV115 )
| ~ ( SV47 @ SV115 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $false )
| ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[942]) ).
thf(956,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
| ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
| ~ ( ~ ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
| ~ ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) ) )
= $false )
| ( ( SV85 = SV22 )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[943]) ).
thf(957,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $false )
| ( ( SV85 = SV22 )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[943]) ).
thf(958,plain,
! [SV58: x_a,SV22: x_a > $o,SV123: x_a,SV85: x_a > $o] :
( ( ( ( SV85 @ SV123 )
= ( SV22 @ SV123 ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[944]) ).
thf(959,plain,
! [SV22: x_a > $o,SV58: x_a,SV85: x_a > $o] :
( ( ( ~ ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
| ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
| ~ ( ~ ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
| ~ ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) ) )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[946]) ).
thf(960,plain,
! [SV22: x_a > $o,SV58: x_a,SV85: x_a > $o] :
( ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[946]) ).
thf(961,plain,
! [SV22: x_a > $o,SV124: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 @ SV124 )
= ( insert_a @ SV58 @ SV22 @ SV124 ) )
= $true )
| ( ( SV85 = SV22 )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[947]) ).
thf(962,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV121: x_a,SV33: x_a > $o] :
( ( ( ~ ( ( SV33 @ SV121 )
| ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 ) )
| ~ ( ~ ( SV33 @ SV121 )
| ~ ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[949]) ).
thf(963,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV121: x_a,SV33: x_a > $o] :
( ( ( ( SV33 @ SV121 )
= ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 ) )
= $true )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[949]) ).
thf(964,plain,
! [SV69: pname > x_a,SV113: pname > $o,SV93: pname > $o,SV33: x_a > $o] :
( ( ( ( SV33 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) )
= ( image_pname_a @ SV69 @ SV113 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV113 @ SV93 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[950]) ).
thf(965,plain,
! [SV47: x_a > $o,SV11: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $true )
| ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $false )
| ( ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[952]) ).
thf(966,plain,
! [SV11: x_a > $o,SV47: x_a > $o] :
( ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $true )
| ( ( SV11 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $false )
| ( ( SV47 @ ( sK5_SV111 @ SV47 @ SV11 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[953]) ).
thf(967,plain,
! [SV47: x_a > $o,SV115: x_a,SV11: x_a > $o] :
( ( ( ~ ( SV11 @ SV115 )
| ~ ( SV47 @ SV115 ) )
= $false )
| ( ( SV11 @ SV115 )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $false )
| ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[954]) ).
thf(968,plain,
! [SV47: x_a > $o,SV115: x_a,SV11: x_a > $o] :
( ( ( ~ ( SV11 @ SV115 )
| ~ ( SV47 @ SV115 ) )
= $false )
| ( ( SV47 @ SV115 )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $false )
| ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[955]) ).
thf(969,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
| ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) ) )
= $false )
| ( ( SV85 = SV22 )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[956]) ).
thf(970,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( ~ ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
| ~ ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) ) )
= $false )
| ( ( SV85 = SV22 )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[956]) ).
thf(971,plain,
! [SV58: x_a,SV22: x_a > $o,SV85: x_a > $o] :
( ( ( ! [SV125: x_a] :
( ( SV85 @ SV125 )
= ( SV22 @ SV125 ) ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[957]) ).
thf(972,plain,
! [SV58: x_a,SV22: x_a > $o,SV85: x_a > $o] :
( ( ( SV85 = SV22 )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[957]) ).
thf(973,plain,
! [SV58: x_a,SV22: x_a > $o,SV123: x_a,SV85: x_a > $o] :
( ( ( ~ ( ( SV85 @ SV123 )
| ( SV22 @ SV123 ) )
| ~ ( ~ ( SV85 @ SV123 )
| ~ ( SV22 @ SV123 ) ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[958]) ).
thf(974,plain,
! [SV58: x_a,SV22: x_a > $o,SV123: x_a,SV85: x_a > $o] :
( ( ( ( SV85 @ SV123 )
= ( SV22 @ SV123 ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[958]) ).
thf(975,plain,
! [SV22: x_a > $o,SV58: x_a,SV85: x_a > $o] :
( ( ( ~ ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
| ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) ) )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[959]) ).
thf(976,plain,
! [SV22: x_a > $o,SV58: x_a,SV85: x_a > $o] :
( ( ( ~ ( ~ ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
| ~ ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) ) )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[959]) ).
thf(977,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ! [SV126: x_a] :
( ( insert_a @ SV58 @ SV85 @ SV126 )
= ( insert_a @ SV58 @ SV22 @ SV126 ) ) )
= $true )
| ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[960]) ).
thf(978,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $true )
| ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[960]) ).
thf(979,plain,
! [SV22: x_a > $o,SV124: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( ( insert_a @ SV58 @ SV85 @ SV124 )
| ( insert_a @ SV58 @ SV22 @ SV124 ) )
| ~ ( ~ ( insert_a @ SV58 @ SV85 @ SV124 )
| ~ ( insert_a @ SV58 @ SV22 @ SV124 ) ) )
= $true )
| ( ( SV85 = SV22 )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[961]) ).
thf(980,plain,
! [SV22: x_a > $o,SV124: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 @ SV124 )
= ( insert_a @ SV58 @ SV22 @ SV124 ) )
= $true )
| ( ( SV85 = SV22 )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[961]) ).
thf(981,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV121: x_a,SV33: x_a > $o] :
( ( ( ~ ( ( SV33 @ SV121 )
| ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 ) ) )
= $true )
| ( ( ~ ( ~ ( SV33 @ SV121 )
| ~ ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[962]) ).
thf(982,plain,
! [SV69: pname > x_a,SV113: pname > $o,SV93: pname > $o,SV33: x_a > $o] :
( ( ( ~ ( ( SV33 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) )
| ( image_pname_a @ SV69 @ SV113 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) ) )
| ~ ( ~ ( SV33 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) )
| ~ ( image_pname_a @ SV69 @ SV113 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) ) ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV113 @ SV93 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[964]) ).
thf(983,plain,
! [SV69: pname > x_a,SV113: pname > $o,SV93: pname > $o,SV33: x_a > $o] :
( ( ( ( SV33 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) )
= ( image_pname_a @ SV69 @ SV113 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV113 @ SV93 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[964]) ).
thf(984,plain,
! [SV47: x_a > $o,SV115: x_a,SV11: x_a > $o] :
( ( ( ~ ( SV11 @ SV115 ) )
= $false )
| ( ( SV11 @ SV115 )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $false )
| ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[967]) ).
thf(985,plain,
! [SV11: x_a > $o,SV115: x_a,SV47: x_a > $o] :
( ( ( ~ ( SV47 @ SV115 ) )
= $false )
| ( ( SV11 @ SV115 )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $false )
| ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[967]) ).
thf(986,plain,
! [SV47: x_a > $o,SV115: x_a,SV11: x_a > $o] :
( ( ( ~ ( SV11 @ SV115 ) )
= $false )
| ( ( SV47 @ SV115 )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $false )
| ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[968]) ).
thf(987,plain,
! [SV11: x_a > $o,SV115: x_a,SV47: x_a > $o] :
( ( ( ~ ( SV47 @ SV115 ) )
= $false )
| ( ( SV47 @ SV115 )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $false )
| ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[968]) ).
thf(988,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
| ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $true )
| ( ( SV85 = SV22 )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[969]) ).
thf(989,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
| ~ ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $true )
| ( ( SV85 = SV22 )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[970]) ).
thf(990,plain,
! [SV58: x_a,SV22: x_a > $o,SV127: x_a,SV85: x_a > $o] :
( ( ( ( SV85 @ SV127 )
= ( SV22 @ SV127 ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(991,plain,
! [SV58: x_a,SV22: x_a > $o,SV123: x_a,SV85: x_a > $o] :
( ( ( ~ ( ( SV85 @ SV123 )
| ( SV22 @ SV123 ) ) )
= $true )
| ( ( ~ ( ~ ( SV85 @ SV123 )
| ~ ( SV22 @ SV123 ) ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[973]) ).
thf(992,plain,
! [SV22: x_a > $o,SV58: x_a,SV85: x_a > $o] :
( ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
| ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[975]) ).
thf(993,plain,
! [SV22: x_a > $o,SV58: x_a,SV85: x_a > $o] :
( ( ( ~ ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
| ~ ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[976]) ).
thf(994,plain,
! [SV22: x_a > $o,SV128: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 @ SV128 )
= ( insert_a @ SV58 @ SV22 @ SV128 ) )
= $true )
| ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[977]) ).
thf(995,plain,
! [SV22: x_a > $o,SV124: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( ( insert_a @ SV58 @ SV85 @ SV124 )
| ( insert_a @ SV58 @ SV22 @ SV124 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV58 @ SV85 @ SV124 )
| ~ ( insert_a @ SV58 @ SV22 @ SV124 ) ) )
= $true )
| ( ( SV85 = SV22 )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(996,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV121: x_a,SV33: x_a > $o] :
( ( ( ( SV33 @ SV121 )
| ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 ) )
= $false )
| ( ( ~ ( ~ ( SV33 @ SV121 )
| ~ ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[981]) ).
thf(997,plain,
! [SV69: pname > x_a,SV113: pname > $o,SV93: pname > $o,SV33: x_a > $o] :
( ( ( ~ ( ( SV33 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) )
| ( image_pname_a @ SV69 @ SV113 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) ) ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV113 @ SV93 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[982]) ).
thf(998,plain,
! [SV69: pname > x_a,SV113: pname > $o,SV93: pname > $o,SV33: x_a > $o] :
( ( ( ~ ( ~ ( SV33 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) )
| ~ ( image_pname_a @ SV69 @ SV113 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) ) ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV113 @ SV93 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[982]) ).
thf(999,plain,
! [SV47: x_a > $o,SV115: x_a,SV11: x_a > $o] :
( ( ( SV11 @ SV115 )
= $true )
| ( ( SV11 @ SV115 )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $false )
| ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[984]) ).
thf(1000,plain,
! [SV11: x_a > $o,SV115: x_a,SV47: x_a > $o] :
( ( ( SV47 @ SV115 )
= $true )
| ( ( SV11 @ SV115 )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $false )
| ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[985]) ).
thf(1001,plain,
! [SV47: x_a > $o,SV115: x_a,SV11: x_a > $o] :
( ( ( SV11 @ SV115 )
= $true )
| ( ( SV47 @ SV115 )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $false )
| ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[986]) ).
thf(1002,plain,
! [SV11: x_a > $o,SV115: x_a,SV47: x_a > $o] :
( ( ( SV47 @ SV115 )
= $true )
| ( ( SV47 @ SV115 )
= $false )
| ( ( ord_less_eq_a_o @ SV11 @ SV47 )
= $false )
| ( ( ord_less_eq_a_o @ SV47 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[987]) ).
thf(1003,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( SV85 = SV22 )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[988]) ).
thf(1004,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $true )
| ( ( ~ ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $true )
| ( ( SV85 = SV22 )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[989]) ).
thf(1005,plain,
! [SV58: x_a,SV22: x_a > $o,SV127: x_a,SV85: x_a > $o] :
( ( ( ~ ( ( SV85 @ SV127 )
| ( SV22 @ SV127 ) )
| ~ ( ~ ( SV85 @ SV127 )
| ~ ( SV22 @ SV127 ) ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[990]) ).
thf(1006,plain,
! [SV58: x_a,SV22: x_a > $o,SV127: x_a,SV85: x_a > $o] :
( ( ( ( SV85 @ SV127 )
= ( SV22 @ SV127 ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[990]) ).
thf(1007,plain,
! [SV58: x_a,SV22: x_a > $o,SV123: x_a,SV85: x_a > $o] :
( ( ( ( SV85 @ SV123 )
| ( SV22 @ SV123 ) )
= $false )
| ( ( ~ ( ~ ( SV85 @ SV123 )
| ~ ( SV22 @ SV123 ) ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[991]) ).
thf(1008,plain,
! [SV22: x_a > $o,SV58: x_a,SV85: x_a > $o] :
( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[992]) ).
thf(1009,plain,
! [SV22: x_a > $o,SV58: x_a,SV85: x_a > $o] :
( ( ( ~ ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $true )
| ( ( ~ ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[993]) ).
thf(1010,plain,
! [SV22: x_a > $o,SV128: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( ( insert_a @ SV58 @ SV85 @ SV128 )
| ( insert_a @ SV58 @ SV22 @ SV128 ) )
| ~ ( ~ ( insert_a @ SV58 @ SV85 @ SV128 )
| ~ ( insert_a @ SV58 @ SV22 @ SV128 ) ) )
= $true )
| ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[994]) ).
thf(1011,plain,
! [SV22: x_a > $o,SV128: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 @ SV128 )
= ( insert_a @ SV58 @ SV22 @ SV128 ) )
= $true )
| ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[994]) ).
thf(1012,plain,
! [SV22: x_a > $o,SV124: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 @ SV124 )
| ( insert_a @ SV58 @ SV22 @ SV124 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV58 @ SV85 @ SV124 )
| ~ ( insert_a @ SV58 @ SV22 @ SV124 ) ) )
= $true )
| ( ( SV85 = SV22 )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[995]) ).
thf(1013,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV121: x_a,SV33: x_a > $o] :
( ( ( SV33 @ SV121 )
= $false )
| ( ( ~ ( ~ ( SV33 @ SV121 )
| ~ ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[996]) ).
thf(1014,plain,
! [SV121: x_a,SV93: pname > $o,SV33: x_a > $o,SV69: pname > x_a] :
( ( ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 )
= $false )
| ( ( ~ ( ~ ( SV33 @ SV121 )
| ~ ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 ) ) )
= $true )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[996]) ).
thf(1015,plain,
! [SV69: pname > x_a,SV113: pname > $o,SV93: pname > $o,SV33: x_a > $o] :
( ( ( ( SV33 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) )
| ( image_pname_a @ SV69 @ SV113 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) ) )
= $true )
| ( ( ord_less_eq_pname_o @ SV113 @ SV93 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[997]) ).
thf(1016,plain,
! [SV69: pname > x_a,SV113: pname > $o,SV93: pname > $o,SV33: x_a > $o] :
( ( ( ~ ( SV33 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) )
| ~ ( image_pname_a @ SV69 @ SV113 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) ) )
= $true )
| ( ( ord_less_eq_pname_o @ SV113 @ SV93 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[998]) ).
thf(1017,plain,
! [SV58: x_a,SV22: x_a > $o,SV85: x_a > $o] :
( ( ( ! [SV129: x_a] :
( ( SV85 @ SV129 )
= ( SV22 @ SV129 ) ) )
= $true )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1003]) ).
thf(1018,plain,
! [SV58: x_a,SV22: x_a > $o,SV85: x_a > $o] :
( ( ( SV85 = SV22 )
= $true )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1003]) ).
thf(1019,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( ~ ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $true )
| ( ( SV85 = SV22 )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1004]) ).
thf(1020,plain,
! [SV58: x_a,SV22: x_a > $o,SV127: x_a,SV85: x_a > $o] :
( ( ( ~ ( ( SV85 @ SV127 )
| ( SV22 @ SV127 ) ) )
= $true )
| ( ( ~ ( ~ ( SV85 @ SV127 )
| ~ ( SV22 @ SV127 ) ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1005]) ).
thf(1021,plain,
! [SV58: x_a,SV22: x_a > $o,SV123: x_a,SV85: x_a > $o] :
( ( ( SV85 @ SV123 )
= $false )
| ( ( ~ ( ~ ( SV85 @ SV123 )
| ~ ( SV22 @ SV123 ) ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1007]) ).
thf(1022,plain,
! [SV58: x_a,SV85: x_a > $o,SV123: x_a,SV22: x_a > $o] :
( ( ( SV22 @ SV123 )
= $false )
| ( ( ~ ( ~ ( SV85 @ SV123 )
| ~ ( SV22 @ SV123 ) ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1007]) ).
thf(1023,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ! [SV130: x_a] :
( ( insert_a @ SV58 @ SV85 @ SV130 )
= ( insert_a @ SV58 @ SV22 @ SV130 ) ) )
= $true )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1008]) ).
thf(1024,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1008]) ).
thf(1025,plain,
! [SV22: x_a > $o,SV58: x_a,SV85: x_a > $o] :
( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( ~ ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1009]) ).
thf(1026,plain,
! [SV22: x_a > $o,SV128: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( ( insert_a @ SV58 @ SV85 @ SV128 )
| ( insert_a @ SV58 @ SV22 @ SV128 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV58 @ SV85 @ SV128 )
| ~ ( insert_a @ SV58 @ SV22 @ SV128 ) ) )
= $true )
| ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1010]) ).
thf(1027,plain,
! [SV22: x_a > $o,SV124: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV85 @ SV124 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV58 @ SV85 @ SV124 )
| ~ ( insert_a @ SV58 @ SV22 @ SV124 ) ) )
= $true )
| ( ( SV85 = SV22 )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1012]) ).
thf(1028,plain,
! [SV85: x_a > $o,SV124: x_a,SV22: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV22 @ SV124 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV58 @ SV85 @ SV124 )
| ~ ( insert_a @ SV58 @ SV22 @ SV124 ) ) )
= $true )
| ( ( SV85 = SV22 )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1012]) ).
thf(1029,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV121: x_a,SV33: x_a > $o] :
( ( ( ~ ( SV33 @ SV121 )
| ~ ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 ) )
= $false )
| ( ( SV33 @ SV121 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1013]) ).
thf(1030,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV121: x_a,SV33: x_a > $o] :
( ( ( ~ ( SV33 @ SV121 )
| ~ ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 ) )
= $false )
| ( ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1014]) ).
thf(1031,plain,
! [SV69: pname > x_a,SV113: pname > $o,SV93: pname > $o,SV33: x_a > $o] :
( ( ( SV33 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) )
= $true )
| ( ( image_pname_a @ SV69 @ SV113 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) )
= $true )
| ( ( ord_less_eq_pname_o @ SV113 @ SV93 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1015]) ).
thf(1032,plain,
! [SV69: pname > x_a,SV113: pname > $o,SV93: pname > $o,SV33: x_a > $o] :
( ( ( ~ ( SV33 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) ) )
= $true )
| ( ( ~ ( image_pname_a @ SV69 @ SV113 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) ) )
= $true )
| ( ( ord_less_eq_pname_o @ SV113 @ SV93 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1016]) ).
thf(1033,plain,
! [SV58: x_a,SV22: x_a > $o,SV131: x_a,SV85: x_a > $o] :
( ( ( ( SV85 @ SV131 )
= ( SV22 @ SV131 ) )
= $true )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1017]) ).
thf(1034,plain,
! [SV85: x_a > $o,SV22: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( SV85 = SV22 )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1035,plain,
! [SV58: x_a,SV22: x_a > $o,SV127: x_a,SV85: x_a > $o] :
( ( ( ( SV85 @ SV127 )
| ( SV22 @ SV127 ) )
= $false )
| ( ( ~ ( ~ ( SV85 @ SV127 )
| ~ ( SV22 @ SV127 ) ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1036,plain,
! [SV58: x_a,SV22: x_a > $o,SV123: x_a,SV85: x_a > $o] :
( ( ( ~ ( SV85 @ SV123 )
| ~ ( SV22 @ SV123 ) )
= $false )
| ( ( SV85 @ SV123 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1021]) ).
thf(1037,plain,
! [SV58: x_a,SV22: x_a > $o,SV123: x_a,SV85: x_a > $o] :
( ( ( ~ ( SV85 @ SV123 )
| ~ ( SV22 @ SV123 ) )
= $false )
| ( ( SV22 @ SV123 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1038,plain,
! [SV22: x_a > $o,SV132: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 @ SV132 )
= ( insert_a @ SV58 @ SV22 @ SV132 ) )
= $true )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1023]) ).
thf(1039,plain,
! [SV85: x_a > $o,SV58: x_a,SV22: x_a > $o] :
( ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1040,plain,
! [SV22: x_a > $o,SV128: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 @ SV128 )
| ( insert_a @ SV58 @ SV22 @ SV128 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV58 @ SV85 @ SV128 )
| ~ ( insert_a @ SV58 @ SV22 @ SV128 ) ) )
= $true )
| ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1041,plain,
! [SV22: x_a > $o,SV124: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV85 @ SV124 )
| ~ ( insert_a @ SV58 @ SV22 @ SV124 ) )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ SV124 )
= $false )
| ( ( SV85 = SV22 )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1042,plain,
! [SV22: x_a > $o,SV124: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV85 @ SV124 )
| ~ ( insert_a @ SV58 @ SV22 @ SV124 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ SV124 )
= $false )
| ( ( SV85 = SV22 )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1028]) ).
thf(1043,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV121: x_a,SV33: x_a > $o] :
( ( ( ~ ( SV33 @ SV121 ) )
= $false )
| ( ( SV33 @ SV121 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1029]) ).
thf(1044,plain,
! [SV121: x_a,SV93: pname > $o,SV33: x_a > $o,SV69: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 ) )
= $false )
| ( ( SV33 @ SV121 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1029]) ).
thf(1045,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV121: x_a,SV33: x_a > $o] :
( ( ( ~ ( SV33 @ SV121 ) )
= $false )
| ( ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1030]) ).
thf(1046,plain,
! [SV121: x_a,SV93: pname > $o,SV33: x_a > $o,SV69: pname > x_a] :
( ( ( ~ ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 ) )
= $false )
| ( ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1030]) ).
thf(1047,plain,
! [SV69: pname > x_a,SV113: pname > $o,SV93: pname > $o,SV33: x_a > $o] :
( ( ( SV33 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) )
= $false )
| ( ( ~ ( image_pname_a @ SV69 @ SV113 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) ) )
= $true )
| ( ( ord_less_eq_pname_o @ SV113 @ SV93 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1032]) ).
thf(1048,plain,
! [SV58: x_a,SV22: x_a > $o,SV131: x_a,SV85: x_a > $o] :
( ( ( ~ ( ( SV85 @ SV131 )
| ( SV22 @ SV131 ) )
| ~ ( ~ ( SV85 @ SV131 )
| ~ ( SV22 @ SV131 ) ) )
= $true )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1033]) ).
thf(1049,plain,
! [SV58: x_a,SV22: x_a > $o,SV131: x_a,SV85: x_a > $o] :
( ( ( ( SV85 @ SV131 )
= ( SV22 @ SV131 ) )
= $true )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1033]) ).
thf(1050,plain,
! [SV58: x_a,SV22: x_a > $o,SV85: x_a > $o] :
( ( ( ! [SV133: x_a] :
( ( SV85 @ SV133 )
= ( SV22 @ SV133 ) ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1034]) ).
thf(1051,plain,
! [SV58: x_a,SV22: x_a > $o,SV85: x_a > $o] :
( ( ( SV85 = SV22 )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1034]) ).
thf(1052,plain,
! [SV58: x_a,SV22: x_a > $o,SV127: x_a,SV85: x_a > $o] :
( ( ( SV85 @ SV127 )
= $false )
| ( ( ~ ( ~ ( SV85 @ SV127 )
| ~ ( SV22 @ SV127 ) ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1035]) ).
thf(1053,plain,
! [SV58: x_a,SV85: x_a > $o,SV127: x_a,SV22: x_a > $o] :
( ( ( SV22 @ SV127 )
= $false )
| ( ( ~ ( ~ ( SV85 @ SV127 )
| ~ ( SV22 @ SV127 ) ) )
= $true )
| ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1035]) ).
thf(1054,plain,
! [SV22: x_a > $o,SV58: x_a,SV123: x_a,SV85: x_a > $o] :
( ( ( ~ ( SV85 @ SV123 ) )
= $false )
| ( ( SV85 @ SV123 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1036]) ).
thf(1055,plain,
! [SV58: x_a,SV85: x_a > $o,SV123: x_a,SV22: x_a > $o] :
( ( ( ~ ( SV22 @ SV123 ) )
= $false )
| ( ( SV85 @ SV123 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1036]) ).
thf(1056,plain,
! [SV58: x_a,SV22: x_a > $o,SV123: x_a,SV85: x_a > $o] :
( ( ( ~ ( SV85 @ SV123 ) )
= $false )
| ( ( SV22 @ SV123 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1037]) ).
thf(1057,plain,
! [SV85: x_a > $o,SV58: x_a,SV123: x_a,SV22: x_a > $o] :
( ( ( ~ ( SV22 @ SV123 ) )
= $false )
| ( ( SV22 @ SV123 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1037]) ).
thf(1058,plain,
! [SV22: x_a > $o,SV132: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( ( insert_a @ SV58 @ SV85 @ SV132 )
| ( insert_a @ SV58 @ SV22 @ SV132 ) )
| ~ ( ~ ( insert_a @ SV58 @ SV85 @ SV132 )
| ~ ( insert_a @ SV58 @ SV22 @ SV132 ) ) )
= $true )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1038]) ).
thf(1059,plain,
! [SV22: x_a > $o,SV132: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 @ SV132 )
= ( insert_a @ SV58 @ SV22 @ SV132 ) )
= $true )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1038]) ).
thf(1060,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ! [SV134: x_a] :
( ( insert_a @ SV58 @ SV85 @ SV134 )
= ( insert_a @ SV58 @ SV22 @ SV134 ) ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1039]) ).
thf(1061,plain,
! [SV22: x_a > $o,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1039]) ).
thf(1062,plain,
! [SV22: x_a > $o,SV128: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV85 @ SV128 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV58 @ SV85 @ SV128 )
| ~ ( insert_a @ SV58 @ SV22 @ SV128 ) ) )
= $true )
| ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1040]) ).
thf(1063,plain,
! [SV85: x_a > $o,SV128: x_a,SV22: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV22 @ SV128 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV58 @ SV85 @ SV128 )
| ~ ( insert_a @ SV58 @ SV22 @ SV128 ) ) )
= $true )
| ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1040]) ).
thf(1064,plain,
! [SV22: x_a > $o,SV124: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV85 @ SV124 ) )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ SV124 )
= $false )
| ( ( SV85 = SV22 )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1041]) ).
thf(1065,plain,
! [SV85: x_a > $o,SV124: x_a,SV22: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV22 @ SV124 ) )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ SV124 )
= $false )
| ( ( SV85 = SV22 )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1041]) ).
thf(1066,plain,
! [SV22: x_a > $o,SV124: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV85 @ SV124 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ SV124 )
= $false )
| ( ( SV85 = SV22 )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1042]) ).
thf(1067,plain,
! [SV85: x_a > $o,SV124: x_a,SV22: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV22 @ SV124 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ SV124 )
= $false )
| ( ( SV85 = SV22 )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1042]) ).
thf(1068,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV121: x_a,SV33: x_a > $o] :
( ( ( SV33 @ SV121 )
= $true )
| ( ( SV33 @ SV121 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1043]) ).
thf(1069,plain,
! [SV121: x_a,SV93: pname > $o,SV33: x_a > $o,SV69: pname > x_a] :
( ( ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 )
= $true )
| ( ( SV33 @ SV121 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1044]) ).
thf(1070,plain,
! [SV93: pname > $o,SV69: pname > x_a,SV121: x_a,SV33: x_a > $o] :
( ( ( SV33 @ SV121 )
= $true )
| ( ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1045]) ).
thf(1071,plain,
! [SV121: x_a,SV93: pname > $o,SV33: x_a > $o,SV69: pname > x_a] :
( ( ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 )
= $true )
| ( ( image_pname_a @ SV69 @ ( sK6_SY182 @ SV69 @ SV33 @ SV93 ) @ SV121 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1046]) ).
thf(1072,plain,
! [SV33: x_a > $o,SV93: pname > $o,SV113: pname > $o,SV69: pname > x_a] :
( ( ( image_pname_a @ SV69 @ SV113 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) )
= $false )
| ( ( SV33 @ ( sK9_SV122 @ SV93 @ SV113 @ SV69 @ SV33 ) )
= $false )
| ( ( ord_less_eq_pname_o @ SV113 @ SV93 )
= $false )
| ( ( ord_less_eq_a_o @ SV33 @ ( image_pname_a @ SV69 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1047]) ).
thf(1073,plain,
! [SV58: x_a,SV22: x_a > $o,SV131: x_a,SV85: x_a > $o] :
( ( ( ~ ( ( SV85 @ SV131 )
| ( SV22 @ SV131 ) ) )
= $true )
| ( ( ~ ( ~ ( SV85 @ SV131 )
| ~ ( SV22 @ SV131 ) ) )
= $true )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1048]) ).
thf(1074,plain,
! [SV58: x_a,SV22: x_a > $o,SV135: x_a,SV85: x_a > $o] :
( ( ( ( SV85 @ SV135 )
= ( SV22 @ SV135 ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1050]) ).
thf(1075,plain,
! [SV58: x_a,SV22: x_a > $o,SV127: x_a,SV85: x_a > $o] :
( ( ( ~ ( SV85 @ SV127 )
| ~ ( SV22 @ SV127 ) )
= $false )
| ( ( SV85 @ SV127 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1052]) ).
thf(1076,plain,
! [SV58: x_a,SV22: x_a > $o,SV127: x_a,SV85: x_a > $o] :
( ( ( ~ ( SV85 @ SV127 )
| ~ ( SV22 @ SV127 ) )
= $false )
| ( ( SV22 @ SV127 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1053]) ).
thf(1077,plain,
! [SV22: x_a > $o,SV58: x_a,SV123: x_a,SV85: x_a > $o] :
( ( ( SV85 @ SV123 )
= $true )
| ( ( SV85 @ SV123 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1054]) ).
thf(1078,plain,
! [SV58: x_a,SV85: x_a > $o,SV123: x_a,SV22: x_a > $o] :
( ( ( SV22 @ SV123 )
= $true )
| ( ( SV85 @ SV123 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1055]) ).
thf(1079,plain,
! [SV58: x_a,SV22: x_a > $o,SV123: x_a,SV85: x_a > $o] :
( ( ( SV85 @ SV123 )
= $true )
| ( ( SV22 @ SV123 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1056]) ).
thf(1080,plain,
! [SV85: x_a > $o,SV58: x_a,SV123: x_a,SV22: x_a > $o] :
( ( ( SV22 @ SV123 )
= $true )
| ( ( SV22 @ SV123 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 )
= ( insert_a @ SV58 @ SV22 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1057]) ).
thf(1081,plain,
! [SV22: x_a > $o,SV132: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( ( insert_a @ SV58 @ SV85 @ SV132 )
| ( insert_a @ SV58 @ SV22 @ SV132 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV58 @ SV85 @ SV132 )
| ~ ( insert_a @ SV58 @ SV22 @ SV132 ) ) )
= $true )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1058]) ).
thf(1082,plain,
! [SV22: x_a > $o,SV136: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 @ SV136 )
= ( insert_a @ SV58 @ SV22 @ SV136 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1060]) ).
thf(1083,plain,
! [SV22: x_a > $o,SV128: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV85 @ SV128 )
| ~ ( insert_a @ SV58 @ SV22 @ SV128 ) )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ SV128 )
= $false )
| ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1062]) ).
thf(1084,plain,
! [SV22: x_a > $o,SV128: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV85 @ SV128 )
| ~ ( insert_a @ SV58 @ SV22 @ SV128 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ SV128 )
= $false )
| ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1063]) ).
thf(1085,plain,
! [SV22: x_a > $o,SV124: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV85 @ SV124 )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ SV124 )
= $false )
| ( ( SV85 = SV22 )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1064]) ).
thf(1086,plain,
! [SV85: x_a > $o,SV124: x_a,SV22: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV22 @ SV124 )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ SV124 )
= $false )
| ( ( SV85 = SV22 )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1065]) ).
thf(1087,plain,
! [SV22: x_a > $o,SV124: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV85 @ SV124 )
= $true )
| ( ( insert_a @ SV58 @ SV22 @ SV124 )
= $false )
| ( ( SV85 = SV22 )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1066]) ).
thf(1088,plain,
! [SV85: x_a > $o,SV124: x_a,SV22: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV22 @ SV124 )
= $true )
| ( ( insert_a @ SV58 @ SV22 @ SV124 )
= $false )
| ( ( SV85 = SV22 )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1067]) ).
thf(1089,plain,
! [SV58: x_a,SV22: x_a > $o,SV131: x_a,SV85: x_a > $o] :
( ( ( ( SV85 @ SV131 )
| ( SV22 @ SV131 ) )
= $false )
| ( ( ~ ( ~ ( SV85 @ SV131 )
| ~ ( SV22 @ SV131 ) ) )
= $true )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1073]) ).
thf(1090,plain,
! [SV58: x_a,SV22: x_a > $o,SV135: x_a,SV85: x_a > $o] :
( ( ( ~ ( ( SV85 @ SV135 )
| ( SV22 @ SV135 ) )
| ~ ( ~ ( SV85 @ SV135 )
| ~ ( SV22 @ SV135 ) ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1074]) ).
thf(1091,plain,
! [SV58: x_a,SV22: x_a > $o,SV135: x_a,SV85: x_a > $o] :
( ( ( ( SV85 @ SV135 )
= ( SV22 @ SV135 ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1074]) ).
thf(1092,plain,
! [SV22: x_a > $o,SV58: x_a,SV127: x_a,SV85: x_a > $o] :
( ( ( ~ ( SV85 @ SV127 ) )
= $false )
| ( ( SV85 @ SV127 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1075]) ).
thf(1093,plain,
! [SV58: x_a,SV85: x_a > $o,SV127: x_a,SV22: x_a > $o] :
( ( ( ~ ( SV22 @ SV127 ) )
= $false )
| ( ( SV85 @ SV127 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1075]) ).
thf(1094,plain,
! [SV58: x_a,SV22: x_a > $o,SV127: x_a,SV85: x_a > $o] :
( ( ( ~ ( SV85 @ SV127 ) )
= $false )
| ( ( SV22 @ SV127 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1076]) ).
thf(1095,plain,
! [SV85: x_a > $o,SV58: x_a,SV127: x_a,SV22: x_a > $o] :
( ( ( ~ ( SV22 @ SV127 ) )
= $false )
| ( ( SV22 @ SV127 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1076]) ).
thf(1096,plain,
! [SV22: x_a > $o,SV132: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 @ SV132 )
| ( insert_a @ SV58 @ SV22 @ SV132 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV58 @ SV85 @ SV132 )
| ~ ( insert_a @ SV58 @ SV22 @ SV132 ) ) )
= $true )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1081]) ).
thf(1097,plain,
! [SV22: x_a > $o,SV136: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( ( insert_a @ SV58 @ SV85 @ SV136 )
| ( insert_a @ SV58 @ SV22 @ SV136 ) )
| ~ ( ~ ( insert_a @ SV58 @ SV85 @ SV136 )
| ~ ( insert_a @ SV58 @ SV22 @ SV136 ) ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1082]) ).
thf(1098,plain,
! [SV22: x_a > $o,SV136: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 @ SV136 )
= ( insert_a @ SV58 @ SV22 @ SV136 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1082]) ).
thf(1099,plain,
! [SV22: x_a > $o,SV128: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV85 @ SV128 ) )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ SV128 )
= $false )
| ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1083]) ).
thf(1100,plain,
! [SV85: x_a > $o,SV128: x_a,SV22: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV22 @ SV128 ) )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ SV128 )
= $false )
| ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1083]) ).
thf(1101,plain,
! [SV22: x_a > $o,SV128: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV85 @ SV128 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ SV128 )
= $false )
| ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1084]) ).
thf(1102,plain,
! [SV85: x_a > $o,SV128: x_a,SV22: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV22 @ SV128 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ SV128 )
= $false )
| ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1084]) ).
thf(1103,plain,
! [SV58: x_a,SV22: x_a > $o,SV131: x_a,SV85: x_a > $o] :
( ( ( SV85 @ SV131 )
= $false )
| ( ( ~ ( ~ ( SV85 @ SV131 )
| ~ ( SV22 @ SV131 ) ) )
= $true )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1104,plain,
! [SV58: x_a,SV85: x_a > $o,SV131: x_a,SV22: x_a > $o] :
( ( ( SV22 @ SV131 )
= $false )
| ( ( ~ ( ~ ( SV85 @ SV131 )
| ~ ( SV22 @ SV131 ) ) )
= $true )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1105,plain,
! [SV58: x_a,SV22: x_a > $o,SV135: x_a,SV85: x_a > $o] :
( ( ( ~ ( ( SV85 @ SV135 )
| ( SV22 @ SV135 ) ) )
= $true )
| ( ( ~ ( ~ ( SV85 @ SV135 )
| ~ ( SV22 @ SV135 ) ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1090]) ).
thf(1106,plain,
! [SV22: x_a > $o,SV58: x_a,SV127: x_a,SV85: x_a > $o] :
( ( ( SV85 @ SV127 )
= $true )
| ( ( SV85 @ SV127 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1092]) ).
thf(1107,plain,
! [SV58: x_a,SV85: x_a > $o,SV127: x_a,SV22: x_a > $o] :
( ( ( SV22 @ SV127 )
= $true )
| ( ( SV85 @ SV127 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1093]) ).
thf(1108,plain,
! [SV58: x_a,SV22: x_a > $o,SV127: x_a,SV85: x_a > $o] :
( ( ( SV85 @ SV127 )
= $true )
| ( ( SV22 @ SV127 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1094]) ).
thf(1109,plain,
! [SV85: x_a > $o,SV58: x_a,SV127: x_a,SV22: x_a > $o] :
( ( ( SV22 @ SV127 )
= $true )
| ( ( SV22 @ SV127 )
= $false )
| ( ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1095]) ).
thf(1110,plain,
! [SV22: x_a > $o,SV132: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV85 @ SV132 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV58 @ SV85 @ SV132 )
| ~ ( insert_a @ SV58 @ SV22 @ SV132 ) ) )
= $true )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1096]) ).
thf(1111,plain,
! [SV85: x_a > $o,SV132: x_a,SV22: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV22 @ SV132 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV58 @ SV85 @ SV132 )
| ~ ( insert_a @ SV58 @ SV22 @ SV132 ) ) )
= $true )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1096]) ).
thf(1112,plain,
! [SV22: x_a > $o,SV136: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( ( insert_a @ SV58 @ SV85 @ SV136 )
| ( insert_a @ SV58 @ SV22 @ SV136 ) ) )
= $true )
| ( ( ~ ( ~ ( insert_a @ SV58 @ SV85 @ SV136 )
| ~ ( insert_a @ SV58 @ SV22 @ SV136 ) ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1097]) ).
thf(1113,plain,
! [SV22: x_a > $o,SV128: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV85 @ SV128 )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ SV128 )
= $false )
| ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1099]) ).
thf(1114,plain,
! [SV85: x_a > $o,SV128: x_a,SV22: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV22 @ SV128 )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ SV128 )
= $false )
| ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1100]) ).
thf(1115,plain,
! [SV22: x_a > $o,SV128: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV85 @ SV128 )
= $true )
| ( ( insert_a @ SV58 @ SV22 @ SV128 )
= $false )
| ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1101]) ).
thf(1116,plain,
! [SV85: x_a > $o,SV128: x_a,SV22: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV22 @ SV128 )
= $true )
| ( ( insert_a @ SV58 @ SV22 @ SV128 )
= $false )
| ( ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1102]) ).
thf(1117,plain,
! [SV58: x_a,SV22: x_a > $o,SV131: x_a,SV85: x_a > $o] :
( ( ( ~ ( SV85 @ SV131 )
| ~ ( SV22 @ SV131 ) )
= $false )
| ( ( SV85 @ SV131 )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1103]) ).
thf(1118,plain,
! [SV58: x_a,SV22: x_a > $o,SV131: x_a,SV85: x_a > $o] :
( ( ( ~ ( SV85 @ SV131 )
| ~ ( SV22 @ SV131 ) )
= $false )
| ( ( SV22 @ SV131 )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1119,plain,
! [SV58: x_a,SV22: x_a > $o,SV135: x_a,SV85: x_a > $o] :
( ( ( ( SV85 @ SV135 )
| ( SV22 @ SV135 ) )
= $false )
| ( ( ~ ( ~ ( SV85 @ SV135 )
| ~ ( SV22 @ SV135 ) ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1105]) ).
thf(1120,plain,
! [SV22: x_a > $o,SV132: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV85 @ SV132 )
| ~ ( insert_a @ SV58 @ SV22 @ SV132 ) )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ SV132 )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1110]) ).
thf(1121,plain,
! [SV22: x_a > $o,SV132: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV85 @ SV132 )
| ~ ( insert_a @ SV58 @ SV22 @ SV132 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ SV132 )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1111]) ).
thf(1122,plain,
! [SV22: x_a > $o,SV136: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ( insert_a @ SV58 @ SV85 @ SV136 )
| ( insert_a @ SV58 @ SV22 @ SV136 ) )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV58 @ SV85 @ SV136 )
| ~ ( insert_a @ SV58 @ SV22 @ SV136 ) ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1112]) ).
thf(1123,plain,
! [SV22: x_a > $o,SV58: x_a,SV131: x_a,SV85: x_a > $o] :
( ( ( ~ ( SV85 @ SV131 ) )
= $false )
| ( ( SV85 @ SV131 )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1117]) ).
thf(1124,plain,
! [SV58: x_a,SV85: x_a > $o,SV131: x_a,SV22: x_a > $o] :
( ( ( ~ ( SV22 @ SV131 ) )
= $false )
| ( ( SV85 @ SV131 )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1117]) ).
thf(1125,plain,
! [SV58: x_a,SV22: x_a > $o,SV131: x_a,SV85: x_a > $o] :
( ( ( ~ ( SV85 @ SV131 ) )
= $false )
| ( ( SV22 @ SV131 )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1118]) ).
thf(1126,plain,
! [SV85: x_a > $o,SV58: x_a,SV131: x_a,SV22: x_a > $o] :
( ( ( ~ ( SV22 @ SV131 ) )
= $false )
| ( ( SV22 @ SV131 )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1118]) ).
thf(1127,plain,
! [SV58: x_a,SV22: x_a > $o,SV135: x_a,SV85: x_a > $o] :
( ( ( SV85 @ SV135 )
= $false )
| ( ( ~ ( ~ ( SV85 @ SV135 )
| ~ ( SV22 @ SV135 ) ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1119]) ).
thf(1128,plain,
! [SV58: x_a,SV85: x_a > $o,SV135: x_a,SV22: x_a > $o] :
( ( ( SV22 @ SV135 )
= $false )
| ( ( ~ ( ~ ( SV85 @ SV135 )
| ~ ( SV22 @ SV135 ) ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1119]) ).
thf(1129,plain,
! [SV22: x_a > $o,SV132: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV85 @ SV132 ) )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ SV132 )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1120]) ).
thf(1130,plain,
! [SV85: x_a > $o,SV132: x_a,SV22: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV22 @ SV132 ) )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ SV132 )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1120]) ).
thf(1131,plain,
! [SV22: x_a > $o,SV132: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV85 @ SV132 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ SV132 )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1121]) ).
thf(1132,plain,
! [SV85: x_a > $o,SV132: x_a,SV22: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV22 @ SV132 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ SV132 )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1121]) ).
thf(1133,plain,
! [SV22: x_a > $o,SV136: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV85 @ SV136 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV58 @ SV85 @ SV136 )
| ~ ( insert_a @ SV58 @ SV22 @ SV136 ) ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1122]) ).
thf(1134,plain,
! [SV85: x_a > $o,SV136: x_a,SV22: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV22 @ SV136 )
= $false )
| ( ( ~ ( ~ ( insert_a @ SV58 @ SV85 @ SV136 )
| ~ ( insert_a @ SV58 @ SV22 @ SV136 ) ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1122]) ).
thf(1135,plain,
! [SV22: x_a > $o,SV58: x_a,SV131: x_a,SV85: x_a > $o] :
( ( ( SV85 @ SV131 )
= $true )
| ( ( SV85 @ SV131 )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1123]) ).
thf(1136,plain,
! [SV58: x_a,SV85: x_a > $o,SV131: x_a,SV22: x_a > $o] :
( ( ( SV22 @ SV131 )
= $true )
| ( ( SV85 @ SV131 )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1124]) ).
thf(1137,plain,
! [SV58: x_a,SV22: x_a > $o,SV131: x_a,SV85: x_a > $o] :
( ( ( SV85 @ SV131 )
= $true )
| ( ( SV22 @ SV131 )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1125]) ).
thf(1138,plain,
! [SV85: x_a > $o,SV58: x_a,SV131: x_a,SV22: x_a > $o] :
( ( ( SV22 @ SV131 )
= $true )
| ( ( SV22 @ SV131 )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1126]) ).
thf(1139,plain,
! [SV58: x_a,SV22: x_a > $o,SV135: x_a,SV85: x_a > $o] :
( ( ( ~ ( SV85 @ SV135 )
| ~ ( SV22 @ SV135 ) )
= $false )
| ( ( SV85 @ SV135 )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1127]) ).
thf(1140,plain,
! [SV58: x_a,SV22: x_a > $o,SV135: x_a,SV85: x_a > $o] :
( ( ( ~ ( SV85 @ SV135 )
| ~ ( SV22 @ SV135 ) )
= $false )
| ( ( SV22 @ SV135 )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1128]) ).
thf(1141,plain,
! [SV22: x_a > $o,SV132: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV85 @ SV132 )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ SV132 )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1129]) ).
thf(1142,plain,
! [SV85: x_a > $o,SV132: x_a,SV22: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV22 @ SV132 )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ SV132 )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1130]) ).
thf(1143,plain,
! [SV22: x_a > $o,SV132: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV85 @ SV132 )
= $true )
| ( ( insert_a @ SV58 @ SV22 @ SV132 )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1131]) ).
thf(1144,plain,
! [SV85: x_a > $o,SV132: x_a,SV22: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV22 @ SV132 )
= $true )
| ( ( insert_a @ SV58 @ SV22 @ SV132 )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $true )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1132]) ).
thf(1145,plain,
! [SV22: x_a > $o,SV136: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV85 @ SV136 )
| ~ ( insert_a @ SV58 @ SV22 @ SV136 ) )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ SV136 )
= $false )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1146,plain,
! [SV22: x_a > $o,SV136: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV85 @ SV136 )
| ~ ( insert_a @ SV58 @ SV22 @ SV136 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ SV136 )
= $false )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1134]) ).
thf(1147,plain,
! [SV22: x_a > $o,SV58: x_a,SV135: x_a,SV85: x_a > $o] :
( ( ( ~ ( SV85 @ SV135 ) )
= $false )
| ( ( SV85 @ SV135 )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1139]) ).
thf(1148,plain,
! [SV58: x_a,SV85: x_a > $o,SV135: x_a,SV22: x_a > $o] :
( ( ( ~ ( SV22 @ SV135 ) )
= $false )
| ( ( SV85 @ SV135 )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1139]) ).
thf(1149,plain,
! [SV58: x_a,SV22: x_a > $o,SV135: x_a,SV85: x_a > $o] :
( ( ( ~ ( SV85 @ SV135 ) )
= $false )
| ( ( SV22 @ SV135 )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1140]) ).
thf(1150,plain,
! [SV85: x_a > $o,SV58: x_a,SV135: x_a,SV22: x_a > $o] :
( ( ( ~ ( SV22 @ SV135 ) )
= $false )
| ( ( SV22 @ SV135 )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1140]) ).
thf(1151,plain,
! [SV22: x_a > $o,SV136: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV85 @ SV136 ) )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ SV136 )
= $false )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1145]) ).
thf(1152,plain,
! [SV85: x_a > $o,SV136: x_a,SV22: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV22 @ SV136 ) )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ SV136 )
= $false )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1145]) ).
thf(1153,plain,
! [SV22: x_a > $o,SV136: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV85 @ SV136 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ SV136 )
= $false )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1146]) ).
thf(1154,plain,
! [SV85: x_a > $o,SV136: x_a,SV22: x_a > $o,SV58: x_a] :
( ( ( ~ ( insert_a @ SV58 @ SV22 @ SV136 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ SV136 )
= $false )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1146]) ).
thf(1155,plain,
! [SV22: x_a > $o,SV58: x_a,SV135: x_a,SV85: x_a > $o] :
( ( ( SV85 @ SV135 )
= $true )
| ( ( SV85 @ SV135 )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1147]) ).
thf(1156,plain,
! [SV58: x_a,SV85: x_a > $o,SV135: x_a,SV22: x_a > $o] :
( ( ( SV22 @ SV135 )
= $true )
| ( ( SV85 @ SV135 )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1148]) ).
thf(1157,plain,
! [SV58: x_a,SV22: x_a > $o,SV135: x_a,SV85: x_a > $o] :
( ( ( SV85 @ SV135 )
= $true )
| ( ( SV22 @ SV135 )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1149]) ).
thf(1158,plain,
! [SV85: x_a > $o,SV58: x_a,SV135: x_a,SV22: x_a > $o] :
( ( ( SV22 @ SV135 )
= $true )
| ( ( SV22 @ SV135 )
= $false )
| ( ( insert_a @ SV58 @ SV85 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( insert_a @ SV58 @ SV22 @ ( sK7_SV116 @ SV22 @ SV85 @ SV58 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1150]) ).
thf(1159,plain,
! [SV22: x_a > $o,SV136: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV85 @ SV136 )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ SV136 )
= $false )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1151]) ).
thf(1160,plain,
! [SV85: x_a > $o,SV136: x_a,SV22: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV22 @ SV136 )
= $true )
| ( ( insert_a @ SV58 @ SV85 @ SV136 )
= $false )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1152]) ).
thf(1161,plain,
! [SV22: x_a > $o,SV136: x_a,SV85: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV85 @ SV136 )
= $true )
| ( ( insert_a @ SV58 @ SV22 @ SV136 )
= $false )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1153]) ).
thf(1162,plain,
! [SV85: x_a > $o,SV136: x_a,SV22: x_a > $o,SV58: x_a] :
( ( ( insert_a @ SV58 @ SV22 @ SV136 )
= $true )
| ( ( insert_a @ SV58 @ SV22 @ SV136 )
= $false )
| ( ( SV85 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( SV22 @ ( sK8_SV117 @ SV58 @ SV22 @ SV85 ) )
= $false )
| ( ( member_a @ SV58 @ SV22 )
= $true )
| ( ( member_a @ SV58 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1154]) ).
thf(1163,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[353,1162,1161,1160,1159,1158,1157,1156,1155,1144,1143,1142,1141,1138,1137,1136,1135,1116,1115,1114,1113,1109,1108,1107,1106,1098,1091,1088,1087,1086,1085,1080,1079,1078,1077,1072,1071,1070,1069,1068,1061,1059,1051,1049,1031,1024,1018,1011,1006,1002,1001,1000,999,983,980,978,974,972,966,965,963,951,948,945,940,939,937,935,934,933,932,923,922,919,918,917,916,915,908,895,894,893,892,886,885,881,880,879,878,865,864,855,854,853,852,851,850,849,848,847,846,844,843,831,830,829,828,826,825,811,810,809,808,801,792,782,781,762,761,760,757,752,751,750,726,725,722,708,707,696,692,690,689,684,682,679,678,677,673,672,668,653,646,634,630,628,625,623,617,615,607,603,602,597,595,588,578,573,549,543,541,513,504,470,467,435,434,431,427,355,354]) ).
thf(1164,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW473^1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n011.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Oct 6 16:58:51 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.10/1.23 ..
% 6.10/1.23
% 6.10/1.23 No.of.Axioms: 42
% 6.10/1.23
% 6.10/1.23 Length.of.Defs: 0
% 6.10/1.23
% 6.10/1.23 Contains.Choice.Funs: true
% 6.10/1.23 .......................
% 6.10/1.23
% 6.10/1.23 ********************************
% 6.10/1.23 * All subproblems solved! *
% 6.10/1.23 ********************************
% 6.10/1.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:42,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:1163,loop_count:0,foatp_calls:1,translation:fof_full)
% 6.10/1.23
% 6.10/1.23 %**** Beginning of derivation protocol ****
% 6.10/1.23 % SZS output start CNFRefutation
% See solution above
% 6.10/1.23
% 6.10/1.23 %**** End of derivation protocol ****
% 6.10/1.23 %**** no. of clauses in derivation: 900 ****
% 6.10/1.23 %**** clause counter: 1163 ****
% 6.10/1.23
% 6.10/1.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:42,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:1163,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------