%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP144^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:24:19 AM UTC 2026
% Result : Theorem 9.28s 1.86s
% Output : CNFRefutation 9.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 25
% Syntax : Number of formulae : 1009 ( 145 unt; 0 typ; 0 def)
% Number of atoms : 7670 (3896 equ; 0 cnn)
% Maximal formula atoms : 5 ( 7 avg)
% Number of connectives : 11238 (2651 ~;2716 |; 12 &;5751 @)
% ( 0 <=>; 108 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 1237 (1237 >; 0 *; 0 +; 0 <<)
% Number of symbols : 77 ( 74 usr; 5 con; 0-4 aty)
% Number of variables : 3327 ( 397 ^;2900 !; 30 ?;3327 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_set_b,type,
set_b: $tType ).
thf(tp_set_set_b,type,
set_set_b: $tType ).
thf(tp_bij_betw_b_b,type,
bij_betw_b_b: ( b > b ) > set_b > set_b > $o ).
thf(tp_bot_bot_b_o,type,
bot_bot_b_o: b > $o ).
thf(tp_bot_bot_set_b,type,
bot_bot_set_b: set_b ).
thf(tp_collect_b,type,
collect_b: ( b > $o ) > set_b ).
thf(tp_hilbert_Eps_b,type,
hilbert_Eps_b: ( b > $o ) > b ).
thf(tp_hilbert_inv_into_b_b,type,
hilbert_inv_into_b_b: set_b > ( b > b ) > b > b ).
thf(tp_image_b_b,type,
image_b_b: ( b > b ) > set_b > set_b ).
thf(tp_image_set_b_set_b,type,
image_set_b_set_b: ( set_b > set_b ) > set_set_b > set_set_b ).
thf(tp_inj_on_b_b,type,
inj_on_b_b: ( b > b ) > set_b > $o ).
thf(tp_inj_on_b_set_b,type,
inj_on_b_set_b: ( b > set_b ) > set_b > $o ).
thf(tp_insert_b,type,
insert_b: b > set_b > set_b ).
thf(tp_is_empty_b,type,
is_empty_b: set_b > $o ).
thf(tp_is_singleton_b,type,
is_singleton_b: set_b > $o ).
thf(tp_member_b,type,
member_b: b > set_b > $o ).
thf(tp_member_set_b,type,
member_set_b: set_b > set_set_b > $o ).
thf(tp_minus_minus_set_b,type,
minus_minus_set_b: set_b > set_b > set_b ).
thf(tp_p,type,
p: a > $o ).
thf(tp_q,type,
q: a > b > $o ).
thf(tp_remove_b,type,
remove_b: b > set_b > set_b ).
thf(tp_sK10_SY147,type,
sK10_SY147: b > ( b > $o ) > ( b > $o ) > b ).
thf(tp_sK11_SY108,type,
sK11_SY108: ( b > $o ) > b ).
thf(tp_sK12_SY113,type,
sK12_SY113: $o > ( b > $o ) > b ).
thf(tp_sK13_SX0,type,
sK13_SX0: ( b > $o ) > b ).
thf(tp_sK14_SX0,type,
sK14_SX0: ( b > $o ) > b ).
thf(tp_sK15_SY176,type,
sK15_SY176: b > b > ( b > $o ) > b ).
thf(tp_sK16_SY108,type,
sK16_SY108: b > ( b > $o ) > b ).
thf(tp_sK17_SY151,type,
sK17_SY151: b > ( b > $o ) > b ).
thf(tp_sK18_SY113,type,
sK18_SY113: $o > ( b > $o ) > b ).
thf(tp_sK19_SX0,type,
sK19_SX0: ( b > $o ) > b ).
thf(tp_sK1_X,type,
sK1_X: a ).
thf(tp_sK20_SX0,type,
sK20_SX0: ( b > $o ) > b ).
thf(tp_sK21_SY170,type,
sK21_SY170: b > ( b > $o ) > ( b > $o ) > b ).
thf(tp_sK22_SY135,type,
sK22_SY135: $o > ( b > $o ) > b ).
thf(tp_sK23_SX0,type,
sK23_SX0: ( b > $o ) > b ).
thf(tp_sK24_SX0,type,
sK24_SX0: ( b > $o ) > b ).
thf(tp_sK25_SY113,type,
sK25_SY113: $o > ( b > $o ) > b ).
thf(tp_sK26_SX0,type,
sK26_SX0: ( b > $o ) > b ).
thf(tp_sK27_SX0,type,
sK27_SX0: ( b > $o ) > b ).
thf(tp_sK28_SY174,type,
sK28_SY174: b > ( b > $o ) > ( b > $o ) > set_b > b ).
thf(tp_sK29_SY151,type,
sK29_SY151: b > b > ( b > $o ) > b ).
thf(tp_sK2_SY149,type,
sK2_SY149: ( b > $o ) > ( b > $o ) > b ).
thf(tp_sK30_SY170,type,
sK30_SY170: b > ( b > $o ) > ( b > $o ) > b ).
thf(tp_sK31_SY135,type,
sK31_SY135: $o > ( b > $o ) > b ).
thf(tp_sK32_SY135,type,
sK32_SY135: $o > b > ( b > $o ) > b ).
thf(tp_sK33_SX0,type,
sK33_SX0: ( b > $o ) > b ).
thf(tp_sK34_SX0,type,
sK34_SX0: b > ( b > $o ) > b ).
thf(tp_sK35_SX0,type,
sK35_SX0: ( b > $o ) > b ).
thf(tp_sK36_SX0,type,
sK36_SX0: b > ( b > $o ) > b ).
thf(tp_sK37_SY172,type,
sK37_SY172: b > ( b > $o ) > ( b > $o ) > b ).
thf(tp_sK38_SY170,type,
sK38_SY170: b > ( b > $o ) > ( b > $o ) > b ).
thf(tp_sK39_SY135,type,
sK39_SY135: $o > ( b > $o ) > b ).
thf(tp_sK3_SY133,type,
sK3_SY133: a > b ).
thf(tp_sK40_SX0,type,
sK40_SX0: ( b > $o ) > b ).
thf(tp_sK41_SX0,type,
sK41_SX0: ( b > $o ) > b ).
thf(tp_sK42_SY135,type,
sK42_SY135: $o > b > ( b > $o ) > b ).
thf(tp_sK43_SX0,type,
sK43_SX0: b > ( b > $o ) > b ).
thf(tp_sK44_SX0,type,
sK44_SX0: b > ( b > $o ) > b ).
thf(tp_sK45_SY172,type,
sK45_SY172: b > ( b > $o ) > ( b > $o ) > b ).
thf(tp_sK46_SY172,type,
sK46_SY172: b > ( b > $o ) > b > ( b > $o ) > b ).
thf(tp_sK47_SY135,type,
sK47_SY135: $o > b > ( b > $o ) > b ).
thf(tp_sK48_SX0,type,
sK48_SX0: b > ( b > $o ) > b ).
thf(tp_sK49_SX0,type,
sK49_SX0: b > ( b > $o ) > b ).
thf(tp_sK4_SY136,type,
sK4_SY136: ( b > $o ) > b ).
thf(tp_sK50_SY172,type,
sK50_SY172: b > ( b > $o ) > ( b > $o ) > b ).
thf(tp_sK51_SY172,type,
sK51_SY172: ( b > $o ) > b > b > ( b > $o ) > b ).
thf(tp_sK52_SY172,type,
sK52_SY172: b > ( b > $o ) > b > ( b > $o ) > b ).
thf(tp_sK5_SY154,type,
sK5_SY154: b > ( b > $o ) > b ).
thf(tp_sK6_SY167,type,
sK6_SY167: b > ( b > $o ) > ( b > $o ) > b ).
thf(tp_sK7_SY169,type,
sK7_SY169: b > ( b > $o ) > ( b > $o ) > b ).
thf(tp_sK8_SY171,type,
sK8_SY171: b > ( b > $o ) > ( b > $o ) > b ).
thf(tp_sK9_SY159,type,
sK9_SY159: b > ( b > $o ) > b ).
thf(tp_the_elem_b,type,
the_elem_b: set_b > b ).
thf(tp_top_top_b_o,type,
top_top_b_o: b > $o ).
thf(tp_top_top_set_b,type,
top_top_set_b: set_b ).
thf(87,axiom,
! [P: b > $o,C: b] :
( ? [X_1: b] : ( P @ X_1 )
=> ( ( C
= ( hilbert_Eps_b @ P ) )
=> ( P @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_exE__some) ).
thf(89,axiom,
! [P: b > $o,X2: b,Y4: b] :
( ( P @ X2 )
=> ( ~ ( P @ Y4 )
=> ( ( ( hilbert_Eps_b @ P )
= Y4 )
=> ( ( hilbert_Eps_b @ P )
= X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_Nitpick_OEps__psimp) ).
thf(90,axiom,
! [X2: b,P: b > $o] :
( ( X2
= ( hilbert_Eps_b @ P ) )
=> ( ( ? [X3: b] : ( P @ X3 ) )
= ( P @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_verit__sko__ex__indirect) ).
thf(91,axiom,
! [X2: b,P: b > $o,P5: b > $o] :
( ( X2
= ( hilbert_Eps_b @ P ) )
=> ( ! [X: b] :
( ( P @ X )
= ( P5 @ X ) )
=> ( ( ? [X3: b] : ( P5 @ X3 ) )
= ( P @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_verit__sko__ex__indirect2) ).
thf(92,axiom,
! [P: b > $o,A: b] :
( ? [X5: b] :
( ( P @ X5 )
& ! [Y3: b] :
( ( P @ Y3 )
=> ( Y3 = X5 ) ) )
=> ( ( P @ A )
=> ( ( hilbert_Eps_b @ P )
= A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_some1__equality) ).
thf(93,axiom,
! [X2: b,P: b > $o] :
( ( X2
= ( hilbert_Eps_b
@ ^ [X4: b] :
~ ( P @ X4 ) ) )
=> ( ( ! [X3: b] : ( P @ X3 ) )
= ( P @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_verit__sko__forall__indirect) ).
thf(94,axiom,
! [X2: b,P: b > $o,P5: b > $o] :
( ( X2
= ( hilbert_Eps_b
@ ^ [X4: b] :
~ ( P @ X4 ) ) )
=> ( ! [X: b] :
( ( P @ X )
= ( P5 @ X ) )
=> ( ( ! [X3: b] : ( P5 @ X3 ) )
= ( P @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_verit__sko__forall__indirect2) ).
thf(95,axiom,
! [P: b > $o,X2: b] :
( ( P @ X2 )
=> ( P @ ( hilbert_Eps_b @ P ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_someI) ).
thf(96,axiom,
! [P: b > $o,Q: b > $o] :
( ! [X: b] :
( ( P @ X )
= ( Q @ X ) )
=> ( ( hilbert_Eps_b @ P )
= ( hilbert_Eps_b @ Q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_Eps__cong) ).
thf(97,axiom,
! [P4: b > $o,X5: b] :
( ( P4 @ X5 )
=> ( P4 @ ( hilbert_Eps_b @ P4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_tfl__some) ).
thf(98,axiom,
! [P: b > $o,A: b,B2: b] :
( ( ( hilbert_Eps_b @ P )
= A )
=> ( ( P @ B2 )
=> ( P @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_some__eq__imp) ).
thf(99,axiom,
! [P: b > $o] :
( ( P @ ( hilbert_Eps_b @ P ) )
= ( ? [X3: b] : ( P @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_some__eq__ex) ).
thf(100,axiom,
! [A2: set_b,P: b > $o,Q: b > $o] :
( ? [X5: b] :
( ( member_b @ X5 @ A2 )
& ( P @ X5 ) )
=> ( ! [X: b] :
( ( ( member_b @ X @ A2 )
& ( P @ X ) )
=> ( Q @ X ) )
=> ( Q
@ ( hilbert_Eps_b
@ ^ [X4: b] :
( ( member_b @ X4 @ A2 )
& ( P @ X4 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_someI2__bex) ).
thf(101,axiom,
! [P: b > $o,Q: b > $o] :
( ? [X_1: b] : ( P @ X_1 )
=> ( ! [X: b] :
( ( P @ X )
=> ( Q @ X ) )
=> ( Q @ ( hilbert_Eps_b @ P ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_someI2__ex) ).
thf(102,axiom,
! [P: b > $o] :
( ? [X_1: b] : ( P @ X_1 )
=> ( P @ ( hilbert_Eps_b @ P ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_someI__ex) ).
thf(103,axiom,
! [B: b,A2: b,P: b > $o] :
( ( B = A2 )
=> ( ( ( hilbert_Eps_b @ P )
= A2 )
= ( ( hilbert_Eps_b @ P )
= B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_verit__sko__forall_H_H) ).
thf(104,axiom,
! [P: b > $o,A2: $o] :
( ( ( P
@ ( hilbert_Eps_b
@ ^ [X4: b] :
~ ( P @ X4 ) ) )
= A2 )
=> ( ( ! [X3: b] : ( P @ X3 ) )
= A2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_verit__sko__forall_H) ).
thf(105,axiom,
! [P: b > $o,A: b,Q: b > $o] :
( ( P @ A )
=> ( ! [X: b] :
( ( P @ X )
=> ( Q @ X ) )
=> ( Q @ ( hilbert_Eps_b @ P ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_someI2) ).
thf(106,axiom,
( ( ^ [P2: b > $o] :
! [X3: b] : ( P2 @ X3 ) )
= ( ^ [P3: b > $o] :
( P3
@ ( hilbert_Eps_b
@ ^ [X4: b] :
~ ( P3 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_verit__sko__forall) ).
thf(107,axiom,
! [P: b > $o,A2: $o] :
( ( ( P @ ( hilbert_Eps_b @ P ) )
= A2 )
=> ( ( ? [X3: b] : ( P @ X3 ) )
= A2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_verit__sko__ex_H) ).
thf(108,axiom,
! [X2: b] :
( ( hilbert_Eps_b
@ ( ^ [Y2: b,Z: b] : ( Y2 = Z )
@ X2 ) )
= X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_some__sym__eq__trivial) ).
thf(109,axiom,
! [X2: b] :
( ( hilbert_Eps_b
@ ^ [Y: b] : ( Y = X2 ) )
= X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_some__eq__trivial) ).
thf(110,axiom,
! [P: b > $o,A: b] :
( ( P @ A )
=> ( ! [X: b] :
( ( P @ X )
=> ( X = A ) )
=> ( ( hilbert_Eps_b @ P )
= A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_some__equality) ).
thf(111,axiom,
! [X5: a] :
( ( p @ X5 )
=> ? [X_12: b] : ( q @ X5 @ X_12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(112,conjecture,
! [X: a] :
( ~ ( p @ X )
| ( q @ X @ ( hilbert_Eps_b @ ( q @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(113,negated_conjecture,
( ( ! [X: a] :
( ~ ( p @ X )
| ( q @ X @ ( hilbert_Eps_b @ ( q @ X ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[112]) ).
thf(114,plain,
( ( ! [X: a] :
( ~ ( p @ X )
| ( q @ X @ ( hilbert_Eps_b @ ( q @ X ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[113]) ).
thf(115,plain,
( ( ! [P: b > $o,C: b] :
( ? [X_1: b] : ( P @ X_1 )
=> ( ( C
= ( hilbert_Eps_b @ P ) )
=> ( P @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(116,plain,
( ( ! [P: b > $o,X2: b,Y4: b] :
( ( P @ X2 )
=> ( ~ ( P @ Y4 )
=> ( ( ( hilbert_Eps_b @ P )
= Y4 )
=> ( ( hilbert_Eps_b @ P )
= X2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(117,plain,
( ( ! [X2: b,P: b > $o] :
( ( X2
= ( hilbert_Eps_b @ P ) )
=> ( ( ? [X3: b] : ( P @ X3 ) )
= ( P @ X2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(118,plain,
( ( ! [X2: b,P: b > $o,P5: b > $o] :
( ( X2
= ( hilbert_Eps_b @ P ) )
=> ( ! [X: b] :
( ( P @ X )
= ( P5 @ X ) )
=> ( ( ? [X3: b] : ( P5 @ X3 ) )
= ( P @ X2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(119,plain,
( ( ! [P: b > $o,A: b] :
( ? [X5: b] :
( ( P @ X5 )
& ! [Y3: b] :
( ( P @ Y3 )
=> ( Y3 = X5 ) ) )
=> ( ( P @ A )
=> ( ( hilbert_Eps_b @ P )
= A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(120,plain,
( ( ! [X2: b,P: b > $o] :
( ( X2
= ( hilbert_Eps_b
@ ^ [X4: b] :
~ ( P @ X4 ) ) )
=> ( ( ! [X3: b] : ( P @ X3 ) )
= ( P @ X2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(121,plain,
( ( ! [X2: b,P: b > $o,P5: b > $o] :
( ( X2
= ( hilbert_Eps_b
@ ^ [X4: b] :
~ ( P @ X4 ) ) )
=> ( ! [X: b] :
( ( P @ X )
= ( P5 @ X ) )
=> ( ( ! [X3: b] : ( P5 @ X3 ) )
= ( P @ X2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(122,plain,
( ( ! [P: b > $o,X2: b] :
( ( P @ X2 )
=> ( P @ ( hilbert_Eps_b @ P ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(123,plain,
( ( ! [P: b > $o,Q: b > $o] :
( ! [X: b] :
( ( P @ X )
= ( Q @ X ) )
=> ( ( hilbert_Eps_b @ P )
= ( hilbert_Eps_b @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(124,plain,
( ( ! [P4: b > $o,X5: b] :
( ( P4 @ X5 )
=> ( P4 @ ( hilbert_Eps_b @ P4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(125,plain,
( ( ! [P: b > $o,A: b,B2: b] :
( ( ( hilbert_Eps_b @ P )
= A )
=> ( ( P @ B2 )
=> ( P @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(126,plain,
( ( ! [P: b > $o] :
( ( P @ ( hilbert_Eps_b @ P ) )
= ( ? [X3: b] : ( P @ X3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(127,plain,
( ( ! [A2: set_b,P: b > $o,Q: b > $o] :
( ? [X5: b] :
( ( member_b @ X5 @ A2 )
& ( P @ X5 ) )
=> ( ! [X: b] :
( ( ( member_b @ X @ A2 )
& ( P @ X ) )
=> ( Q @ X ) )
=> ( Q
@ ( hilbert_Eps_b
@ ^ [X4: b] :
( ( member_b @ X4 @ A2 )
& ( P @ X4 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(128,plain,
( ( ! [P: b > $o,Q: b > $o] :
( ? [X_1: b] : ( P @ X_1 )
=> ( ! [X: b] :
( ( P @ X )
=> ( Q @ X ) )
=> ( Q @ ( hilbert_Eps_b @ P ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(129,plain,
( ( ! [P: b > $o] :
( ? [X_1: b] : ( P @ X_1 )
=> ( P @ ( hilbert_Eps_b @ P ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(130,plain,
( ( ! [B: b,A2: b,P: b > $o] :
( ( B = A2 )
=> ( ( ( hilbert_Eps_b @ P )
= A2 )
= ( ( hilbert_Eps_b @ P )
= B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(131,plain,
( ( ! [P: b > $o,A2: $o] :
( ( ( P
@ ( hilbert_Eps_b
@ ^ [X4: b] :
~ ( P @ X4 ) ) )
= A2 )
=> ( ( ! [X3: b] : ( P @ X3 ) )
= A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(132,plain,
( ( ! [P: b > $o,A: b,Q: b > $o] :
( ( P @ A )
=> ( ! [X: b] :
( ( P @ X )
=> ( Q @ X ) )
=> ( Q @ ( hilbert_Eps_b @ P ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(133,plain,
( ( ( ^ [P2: b > $o] :
! [X3: b] : ( P2 @ X3 ) )
= ( ^ [P3: b > $o] :
( P3
@ ( hilbert_Eps_b
@ ^ [X4: b] :
~ ( P3 @ X4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(134,plain,
( ( ! [P: b > $o,A2: $o] :
( ( ( P @ ( hilbert_Eps_b @ P ) )
= A2 )
=> ( ( ? [X3: b] : ( P @ X3 ) )
= A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(135,plain,
( ( ! [SY71: b] :
( ( hilbert_Eps_b
@ ^ [SY72: b] : ( SY71 = SY72 ) )
= SY71 ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(136,plain,
( ( ! [X2: b] :
( ( hilbert_Eps_b
@ ^ [Y: b] : ( Y = X2 ) )
= X2 ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(137,plain,
( ( ! [P: b > $o,A: b] :
( ( P @ A )
=> ( ! [X: b] :
( ( P @ X )
=> ( X = A ) )
=> ( ( hilbert_Eps_b @ P )
= A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(138,plain,
( ( ! [X5: a] :
( ( p @ X5 )
=> ? [X_12: b] : ( q @ X5 @ X_12 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(139,plain,
( ( ~ ( p @ sK1_X )
| ( q @ sK1_X @ ( hilbert_Eps_b @ ( q @ sK1_X ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[114]) ).
thf(140,plain,
( ( ~ ( ~ ( p @ sK1_X )
| ( q @ sK1_X @ ( hilbert_Eps_b @ ( q @ sK1_X ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[139]) ).
thf(141,plain,
( ( ! [X5: a] :
( ( p @ X5 )
=> ? [X_12: b] : ( q @ X5 @ X_12 ) ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(142,plain,
( ( ! [P: b > $o,A: b] :
( ( P @ A )
=> ( ! [X: b] :
( ( P @ X )
=> ( X = A ) )
=> ( ( hilbert_Eps_b @ P )
= A ) ) ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(143,plain,
( ( ! [X2: b] :
( ( hilbert_Eps_b
@ ^ [Y: b] : ( Y = X2 ) )
= X2 ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(144,plain,
( ( ! [SY71: b] :
( ( hilbert_Eps_b
@ ^ [SY72: b] : ( SY71 = SY72 ) )
= SY71 ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(145,plain,
( ( ! [P: b > $o,A2: $o] :
( ( ( P @ ( hilbert_Eps_b @ P ) )
= A2 )
=> ( ( ? [X3: b] : ( P @ X3 ) )
= A2 ) ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(146,plain,
( ( ( ^ [P2: b > $o] :
! [X3: b] : ( P2 @ X3 ) )
= ( ^ [P3: b > $o] :
( P3
@ ( hilbert_Eps_b
@ ^ [X4: b] :
~ ( P3 @ X4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(147,plain,
( ( ! [P: b > $o,A: b,Q: b > $o] :
( ( P @ A )
=> ( ! [X: b] :
( ( P @ X )
=> ( Q @ X ) )
=> ( Q @ ( hilbert_Eps_b @ P ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(148,plain,
( ( ! [P: b > $o,A2: $o] :
( ( ( P
@ ( hilbert_Eps_b
@ ^ [X4: b] :
~ ( P @ X4 ) ) )
= A2 )
=> ( ( ! [X3: b] : ( P @ X3 ) )
= A2 ) ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(149,plain,
( ( ! [B: b,A2: b,P: b > $o] :
( ( B = A2 )
=> ( ( ( hilbert_Eps_b @ P )
= A2 )
= ( ( hilbert_Eps_b @ P )
= B ) ) ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(150,plain,
( ( ! [P: b > $o] :
( ? [X_1: b] : ( P @ X_1 )
=> ( P @ ( hilbert_Eps_b @ P ) ) ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(151,plain,
( ( ! [P: b > $o,Q: b > $o] :
( ? [X_1: b] : ( P @ X_1 )
=> ( ! [X: b] :
( ( P @ X )
=> ( Q @ X ) )
=> ( Q @ ( hilbert_Eps_b @ P ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(152,plain,
( ( ! [A2: set_b,P: b > $o,Q: b > $o] :
( ? [X5: b] :
( ( member_b @ X5 @ A2 )
& ( P @ X5 ) )
=> ( ! [X: b] :
( ( ( member_b @ X @ A2 )
& ( P @ X ) )
=> ( Q @ X ) )
=> ( Q
@ ( hilbert_Eps_b
@ ^ [X4: b] :
( ( member_b @ X4 @ A2 )
& ( P @ X4 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(153,plain,
( ( ! [P: b > $o] :
( ( P @ ( hilbert_Eps_b @ P ) )
= ( ? [X3: b] : ( P @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(154,plain,
( ( ! [P: b > $o,A: b,B2: b] :
( ( ( hilbert_Eps_b @ P )
= A )
=> ( ( P @ B2 )
=> ( P @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(155,plain,
( ( ! [P4: b > $o,X5: b] :
( ( P4 @ X5 )
=> ( P4 @ ( hilbert_Eps_b @ P4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(156,plain,
( ( ! [P: b > $o,Q: b > $o] :
( ! [X: b] :
( ( P @ X )
= ( Q @ X ) )
=> ( ( hilbert_Eps_b @ P )
= ( hilbert_Eps_b @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(157,plain,
( ( ! [P: b > $o,X2: b] :
( ( P @ X2 )
=> ( P @ ( hilbert_Eps_b @ P ) ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(158,plain,
( ( ! [X2: b,P: b > $o,P5: b > $o] :
( ( X2
= ( hilbert_Eps_b
@ ^ [X4: b] :
~ ( P @ X4 ) ) )
=> ( ! [X: b] :
( ( P @ X )
= ( P5 @ X ) )
=> ( ( ! [X3: b] : ( P5 @ X3 ) )
= ( P @ X2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(159,plain,
( ( ! [X2: b,P: b > $o] :
( ( X2
= ( hilbert_Eps_b
@ ^ [X4: b] :
~ ( P @ X4 ) ) )
=> ( ( ! [X3: b] : ( P @ X3 ) )
= ( P @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(160,plain,
( ( ! [P: b > $o,A: b] :
( ? [X5: b] :
( ( P @ X5 )
& ! [Y3: b] :
( ( P @ Y3 )
=> ( Y3 = X5 ) ) )
=> ( ( P @ A )
=> ( ( hilbert_Eps_b @ P )
= A ) ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(161,plain,
( ( ! [X2: b,P: b > $o,P5: b > $o] :
( ( X2
= ( hilbert_Eps_b @ P ) )
=> ( ! [X: b] :
( ( P @ X )
= ( P5 @ X ) )
=> ( ( ? [X3: b] : ( P5 @ X3 ) )
= ( P @ X2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(162,plain,
( ( ! [X2: b,P: b > $o] :
( ( X2
= ( hilbert_Eps_b @ P ) )
=> ( ( ? [X3: b] : ( P @ X3 ) )
= ( P @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(163,plain,
( ( ! [P: b > $o,X2: b,Y4: b] :
( ( P @ X2 )
=> ( ~ ( P @ Y4 )
=> ( ( ( hilbert_Eps_b @ P )
= Y4 )
=> ( ( hilbert_Eps_b @ P )
= X2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(164,plain,
( ( ! [P: b > $o,C: b] :
( ? [X_1: b] : ( P @ X_1 )
=> ( ( C
= ( hilbert_Eps_b @ P ) )
=> ( P @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(165,plain,
( ( ~ ( ~ ( p @ sK1_X )
| ( q @ sK1_X @ ( hilbert_Eps_b @ ( q @ sK1_X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(166,plain,
( ( ! [SX0: b,SX1: b,SX2: b > $o] :
( ( SX0 != SX1 )
| ( ( ( hilbert_Eps_b @ SX2 )
= SX1 )
= ( ( hilbert_Eps_b @ SX2 )
= SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(167,plain,
( ( ! [SX0: b > $o,SX1: b,SX2: b] :
( ~ ( SX0 @ SX1 )
| ~ ~ ( SX0 @ SX2 )
| ( ( hilbert_Eps_b @ SX0 )
!= SX2 )
| ( ( hilbert_Eps_b @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(168,plain,
( ( ! [SX0: b > $o,SX1: b,SX2: b > $o] :
( ~ ( SX0 @ SX1 )
| ~ ! [SX3: b] :
( ~ ( SX0 @ SX3 )
| ( SX2 @ SX3 ) )
| ( SX2 @ ( hilbert_Eps_b @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(169,plain,
( ( ! [SX0: b,SX1: b > $o,SX2: b > $o] :
( ( SX0
!= ( hilbert_Eps_b
@ ^ [SX3: b] :
~ ( SX1 @ SX3 ) ) )
| ~ ! [SX3: b] :
( ( SX1 @ SX3 )
= ( SX2 @ SX3 ) )
| ( ( ! [SX3: b] : ( SX2 @ SX3 ) )
= ( SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(170,plain,
( ( ! [SX0: b > $o,SX1: b > $o] :
( ~ ~ ! [SX2: b] :
~ ( SX0 @ SX2 )
| ~ ! [SX2: b] :
( ~ ( SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ( SX1 @ ( hilbert_Eps_b @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(171,plain,
( ( ! [SX0: b > $o,SX1: b,SX2: b] :
( ( ( hilbert_Eps_b @ SX0 )
!= SX1 )
| ~ ( SX0 @ SX2 )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(172,plain,
( ( ! [SX0: b > $o,SX1: b] :
( ~ ( SX0 @ SX1 )
| ( SX0 @ ( hilbert_Eps_b @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(173,plain,
( ( ! [SX0: b > $o,SX1: b > $o] :
( ~ ! [SX2: b] :
( ( SX0 @ SX2 )
= ( SX1 @ SX2 ) )
| ( ( hilbert_Eps_b @ SX0 )
= ( hilbert_Eps_b @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(174,plain,
( ( ! [SX0: b > $o,SX1: b] :
( ~ ~ ! [SX2: b] :
~ ( SX0 @ SX2 )
| ( SX1
!= ( hilbert_Eps_b @ SX0 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(175,plain,
( ( ! [SX0: b > $o] :
( ( SX0 @ ( hilbert_Eps_b @ SX0 ) )
= ( ~ ! [SX1: b] :
~ ( SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(176,plain,
( ( ! [SX0: b,SX1: b > $o] :
( ( SX0
!= ( hilbert_Eps_b @ SX1 ) )
| ( ( ~ ! [SX2: b] :
~ ( SX1 @ SX2 ) )
= ( SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(177,plain,
( ( ! [SX0: b > $o,SX1: $o] :
( ( ( SX0
@ ( hilbert_Eps_b
@ ^ [SX2: b] :
~ ( SX0 @ SX2 ) ) )
!= SX1 )
| ( ( ! [SX2: b] : ( SX0 @ SX2 ) )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(178,plain,
( ( ! [SX0: b > $o,SX1: b] :
( ~ ( SX0 @ SX1 )
| ( SX0 @ ( hilbert_Eps_b @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(179,plain,
( ( ! [SX0: b > $o,SX1: b] :
( ~ ( SX0 @ SX1 )
| ~ ! [SX2: b] :
( ~ ( SX0 @ SX2 )
| ( SX2 = SX1 ) )
| ( ( hilbert_Eps_b @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(180,plain,
( ( ! [SX0: b,SX1: b > $o,SX2: b > $o] :
( ( SX0
!= ( hilbert_Eps_b @ SX1 ) )
| ~ ! [SX3: b] :
( ( SX1 @ SX3 )
= ( SX2 @ SX3 ) )
| ( ( ~ ! [SX3: b] :
~ ( SX2 @ SX3 ) )
= ( SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(181,plain,
( ( ! [SX0: b > $o] :
( ~ ~ ! [SX1: b] :
~ ( SX0 @ SX1 )
| ( SX0 @ ( hilbert_Eps_b @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(182,plain,
( ( ! [SX0: b,SX1: b > $o] :
( ( SX0
!= ( hilbert_Eps_b
@ ^ [SX2: b] :
~ ( SX1 @ SX2 ) ) )
| ( ( ! [SX2: b] : ( SX1 @ SX2 ) )
= ( SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(183,plain,
( ( ! [SX0: b > $o,SX1: b] :
( ~ ~ ! [SX2: b] :
~ ~ ( ~ ( SX0 @ SX2 )
| ~ ! [SX3: b] :
( ~ ( SX0 @ SX3 )
| ( SX3 = SX2 ) ) )
| ~ ( SX0 @ SX1 )
| ( ( hilbert_Eps_b @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(184,plain,
( ( ! [SX0: set_b,SX1: b > $o,SX2: b > $o] :
( ~ ~ ! [SX3: b] :
~ ~ ( ~ ( member_b @ SX3 @ SX0 )
| ~ ( SX1 @ SX3 ) )
| ~ ! [SX3: b] :
( ~ ~ ( ~ ( member_b @ SX3 @ SX0 )
| ~ ( SX1 @ SX3 ) )
| ( SX2 @ SX3 ) )
| ( SX2
@ ( hilbert_Eps_b
@ ^ [SX3: b] :
~ ( ~ ( member_b @ SX3 @ SX0 )
| ~ ( SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(185,plain,
( ( ! [SX0: a] :
( ~ ( p @ SX0 )
| ~ ! [SX1: b] :
~ ( q @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(186,plain,
( ( ! [SX0: b > $o,SX1: $o] :
( ( ( SX0 @ ( hilbert_Eps_b @ SX0 ) )
!= SX1 )
| ( ( ~ ! [SX2: b] :
~ ( SX0 @ SX2 ) )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(187,plain,
! [SV1: b] :
( ( ( hilbert_Eps_b
@ ^ [SY82: b] : ( SY82 = SV1 ) )
= SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(188,plain,
! [SV2: b] :
( ( ( hilbert_Eps_b
@ ^ [SY83: b] : ( SV2 = SY83 ) )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(189,plain,
( ( ! [SV3: b > $o] :
( ( ! [SY84: b] : ( SV3 @ SY84 ) )
= ( SV3
@ ( hilbert_Eps_b
@ ^ [SY85: b] :
~ ( SV3 @ SY85 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[146]) ).
thf(190,plain,
( ( ( ^ [P2: b > $o] :
! [X3: b] : ( P2 @ X3 ) )
= ( ^ [P3: b > $o] :
( P3
@ ( hilbert_Eps_b
@ ^ [X4: b] :
~ ( P3 @ X4 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[146]) ).
thf(191,plain,
( ( ~ ( p @ sK1_X )
| ( q @ sK1_X @ ( hilbert_Eps_b @ ( q @ sK1_X ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(192,plain,
! [SV4: b] :
( ( ! [SY86: b,SY87: b > $o] :
( ( SV4 != SY86 )
| ( ( ( hilbert_Eps_b @ SY87 )
= SY86 )
= ( ( hilbert_Eps_b @ SY87 )
= SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(193,plain,
! [SV5: b > $o] :
( ( ! [SY88: b,SY89: b] :
( ~ ( SV5 @ SY88 )
| ~ ~ ( SV5 @ SY89 )
| ( ( hilbert_Eps_b @ SV5 )
!= SY89 )
| ( ( hilbert_Eps_b @ SV5 )
= SY88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(194,plain,
! [SV6: b > $o] :
( ( ! [SY90: b,SY91: b > $o] :
( ~ ( SV6 @ SY90 )
| ~ ! [SY92: b] :
( ~ ( SV6 @ SY92 )
| ( SY91 @ SY92 ) )
| ( SY91 @ ( hilbert_Eps_b @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(195,plain,
! [SV7: b] :
( ( ! [SY93: b > $o,SY94: b > $o] :
( ( SV7
!= ( hilbert_Eps_b
@ ^ [SX3: b] :
~ ( SY93 @ SX3 ) ) )
| ~ ! [SX3: b] :
( ( SY93 @ SX3 )
= ( SY94 @ SX3 ) )
| ( ( ! [SX3: b] : ( SY94 @ SX3 ) )
= ( SY93 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(196,plain,
! [SV8: b > $o] :
( ( ! [SY98: b > $o] :
( ~ ~ ! [SY99: b] :
~ ( SV8 @ SY99 )
| ~ ! [SY100: b] :
( ~ ( SV8 @ SY100 )
| ( SY98 @ SY100 ) )
| ( SY98 @ ( hilbert_Eps_b @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(197,plain,
! [SV9: b > $o] :
( ( ! [SY101: b,SY102: b] :
( ( ( hilbert_Eps_b @ SV9 )
!= SY101 )
| ~ ( SV9 @ SY102 )
| ( SV9 @ SY101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(198,plain,
! [SV10: b > $o] :
( ( ! [SY103: b] :
( ~ ( SV10 @ SY103 )
| ( SV10 @ ( hilbert_Eps_b @ SV10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(199,plain,
! [SV11: b > $o] :
( ( ! [SY104: b > $o] :
( ~ ! [SY105: b] :
( ( SV11 @ SY105 )
= ( SY104 @ SY105 ) )
| ( ( hilbert_Eps_b @ SV11 )
= ( hilbert_Eps_b @ SY104 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(200,plain,
! [SV12: b > $o] :
( ( ! [SY106: b] :
( ~ ~ ! [SY107: b] :
~ ( SV12 @ SY107 )
| ( SY106
!= ( hilbert_Eps_b @ SV12 ) )
| ( SV12 @ SY106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(201,plain,
! [SV13: b > $o] :
( ( ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
= ( ~ ! [SY108: b] :
~ ( SV13 @ SY108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(202,plain,
! [SV14: b] :
( ( ! [SY109: b > $o] :
( ( SV14
!= ( hilbert_Eps_b @ SY109 ) )
| ( ( ~ ! [SX2: b] :
~ ( SY109 @ SX2 ) )
= ( SY109 @ SV14 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(203,plain,
! [SV15: b > $o] :
( ( ! [SY111: $o] :
( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
!= SY111 )
| ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(204,plain,
! [SV16: b > $o] :
( ( ! [SY114: b] :
( ~ ( SV16 @ SY114 )
| ( SV16 @ ( hilbert_Eps_b @ SV16 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(205,plain,
! [SV17: b > $o] :
( ( ! [SY115: b] :
( ~ ( SV17 @ SY115 )
| ~ ! [SY116: b] :
( ~ ( SV17 @ SY116 )
| ( SY116 = SY115 ) )
| ( ( hilbert_Eps_b @ SV17 )
= SY115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(206,plain,
! [SV18: b] :
( ( ! [SY117: b > $o,SY118: b > $o] :
( ( SV18
!= ( hilbert_Eps_b @ SY117 ) )
| ~ ! [SX3: b] :
( ( SY117 @ SX3 )
= ( SY118 @ SX3 ) )
| ( ( ~ ! [SX3: b] :
~ ( SY118 @ SX3 ) )
= ( SY117 @ SV18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(207,plain,
! [SV19: b > $o] :
( ( ~ ~ ! [SY121: b] :
~ ( SV19 @ SY121 )
| ( SV19 @ ( hilbert_Eps_b @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(208,plain,
! [SV20: b] :
( ( ! [SY122: b > $o] :
( ( SV20
!= ( hilbert_Eps_b
@ ^ [SX2: b] :
~ ( SY122 @ SX2 ) ) )
| ( ( ! [SX2: b] : ( SY122 @ SX2 ) )
= ( SY122 @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(209,plain,
! [SV21: b > $o] :
( ( ! [SY125: b] :
( ~ ~ ! [SY126: b] :
~ ~ ( ~ ( SV21 @ SY126 )
| ~ ! [SY127: b] :
( ~ ( SV21 @ SY127 )
| ( SY127 = SY126 ) ) )
| ~ ( SV21 @ SY125 )
| ( ( hilbert_Eps_b @ SV21 )
= SY125 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(210,plain,
! [SV22: set_b] :
( ( ! [SY128: b > $o,SY129: b > $o] :
( ~ ~ ! [SY130: b] :
~ ~ ( ~ ( member_b @ SY130 @ SV22 )
| ~ ( SY128 @ SY130 ) )
| ~ ! [SY131: b] :
( ~ ~ ( ~ ( member_b @ SY131 @ SV22 )
| ~ ( SY128 @ SY131 ) )
| ( SY129 @ SY131 ) )
| ( SY129
@ ( hilbert_Eps_b
@ ^ [SY132: b] :
~ ( ~ ( member_b @ SY132 @ SV22 )
| ~ ( SY128 @ SY132 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(211,plain,
! [SV23: a] :
( ( ~ ( p @ SV23 )
| ~ ! [SY133: b] :
~ ( q @ SV23 @ SY133 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(212,plain,
! [SV24: b > $o] :
( ( ! [SY134: $o] :
( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
!= SY134 )
| ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= SY134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(213,plain,
! [SV25: b > $o] :
( ( ( ! [SY136: b] : ( SV25 @ SY136 ) )
= ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(214,plain,
( ( ~ ( p @ sK1_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(215,plain,
( ( q @ sK1_X @ ( hilbert_Eps_b @ ( q @ sK1_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(216,plain,
! [SV26: b,SV4: b] :
( ( ! [SY138: b > $o] :
( ( SV4 != SV26 )
| ( ( ( hilbert_Eps_b @ SY138 )
= SV26 )
= ( ( hilbert_Eps_b @ SY138 )
= SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(217,plain,
! [SV27: b,SV5: b > $o] :
( ( ! [SY139: b] :
( ~ ( SV5 @ SV27 )
| ~ ~ ( SV5 @ SY139 )
| ( ( hilbert_Eps_b @ SV5 )
!= SY139 )
| ( ( hilbert_Eps_b @ SV5 )
= SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(218,plain,
! [SV28: b,SV6: b > $o] :
( ( ! [SY140: b > $o] :
( ~ ( SV6 @ SV28 )
| ~ ! [SY92: b] :
( ~ ( SV6 @ SY92 )
| ( SY140 @ SY92 ) )
| ( SY140 @ ( hilbert_Eps_b @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(219,plain,
! [SV29: b > $o,SV7: b] :
( ( ! [SY142: b > $o] :
( ( SV7
!= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
| ~ ! [SY144: b] :
( ( SV29 @ SY144 )
= ( SY142 @ SY144 ) )
| ( ( ! [SX3: b] : ( SY142 @ SX3 ) )
= ( SV29 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(220,plain,
! [SV30: b > $o,SV8: b > $o] :
( ( ~ ~ ! [SY99: b] :
~ ( SV8 @ SY99 )
| ~ ! [SY147: b] :
( ~ ( SV8 @ SY147 )
| ( SV30 @ SY147 ) )
| ( SV30 @ ( hilbert_Eps_b @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(221,plain,
! [SV31: b,SV9: b > $o] :
( ( ! [SY148: b] :
( ( ( hilbert_Eps_b @ SV9 )
!= SV31 )
| ~ ( SV9 @ SY148 )
| ( SV9 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(222,plain,
! [SV32: b,SV10: b > $o] :
( ( ~ ( SV10 @ SV32 )
| ( SV10 @ ( hilbert_Eps_b @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(223,plain,
! [SV33: b > $o,SV11: b > $o] :
( ( ~ ! [SY149: b] :
( ( SV11 @ SY149 )
= ( SV33 @ SY149 ) )
| ( ( hilbert_Eps_b @ SV11 )
= ( hilbert_Eps_b @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(224,plain,
! [SV34: b,SV12: b > $o] :
( ( ~ ~ ! [SY107: b] :
~ ( SV12 @ SY107 )
| ( SV34
!= ( hilbert_Eps_b @ SV12 ) )
| ( SV12 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(225,plain,
! [SV13: b > $o] :
( ( ~ ( ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
| ~ ! [SY108: b] :
~ ( SV13 @ SY108 ) )
| ~ ( ~ ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
| ~ ~ ! [SY108: b] :
~ ( SV13 @ SY108 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[201]) ).
thf(226,plain,
! [SV13: b > $o] :
( ( ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
= ( ~ ! [SY108: b] :
~ ( SV13 @ SY108 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[201]) ).
thf(227,plain,
! [SV35: b > $o,SV14: b] :
( ( ( SV14
!= ( hilbert_Eps_b @ SV35 ) )
| ( ( ~ ! [SY151: b] :
~ ( SV35 @ SY151 ) )
= ( SV35 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(228,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
!= SV36 )
| ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= SV36 ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[203]) ).
thf(229,plain,
! [SV15: b > $o] :
( ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
!= $true )
| ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[203]) ).
thf(230,plain,
! [SV15: b > $o] :
( ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
!= $false )
| ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[203]) ).
thf(231,plain,
! [SV37: b,SV16: b > $o] :
( ( ~ ( SV16 @ SV37 )
| ( SV16 @ ( hilbert_Eps_b @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(232,plain,
! [SV38: b,SV17: b > $o] :
( ( ~ ( SV17 @ SV38 )
| ~ ! [SY154: b] :
( ~ ( SV17 @ SY154 )
| ( SY154 = SV38 ) )
| ( ( hilbert_Eps_b @ SV17 )
= SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(233,plain,
! [SV39: b > $o,SV18: b] :
( ( ! [SY155: b > $o] :
( ( SV18
!= ( hilbert_Eps_b @ SV39 ) )
| ~ ! [SY156: b] :
( ( SV39 @ SY156 )
= ( SY155 @ SY156 ) )
| ( ( ~ ! [SX3: b] :
~ ( SY155 @ SX3 ) )
= ( SV39 @ SV18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(234,plain,
! [SV19: b > $o] :
( ( ( ~ ~ ! [SY121: b] :
~ ( SV19 @ SY121 ) )
= $true )
| ( ( SV19 @ ( hilbert_Eps_b @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(235,plain,
! [SV40: b > $o,SV20: b] :
( ( ( SV20
!= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
| ( ( ! [SY159: b] : ( SV40 @ SY159 ) )
= ( SV40 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(236,plain,
! [SV41: b,SV21: b > $o] :
( ( ~ ~ ! [SY126: b] :
~ ~ ( ~ ( SV21 @ SY126 )
| ~ ! [SY127: b] :
( ~ ( SV21 @ SY127 )
| ( SY127 = SY126 ) ) )
| ~ ( SV21 @ SV41 )
| ( ( hilbert_Eps_b @ SV21 )
= SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(237,plain,
! [SV42: b > $o,SV22: set_b] :
( ( ! [SY162: b > $o] :
( ~ ~ ! [SY163: b] :
~ ~ ( ~ ( member_b @ SY163 @ SV22 )
| ~ ( SV42 @ SY163 ) )
| ~ ! [SY164: b] :
( ~ ~ ( ~ ( member_b @ SY164 @ SV22 )
| ~ ( SV42 @ SY164 ) )
| ( SY162 @ SY164 ) )
| ( SY162
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(238,plain,
! [SV23: a] :
( ( ( ~ ( p @ SV23 ) )
= $true )
| ( ( ~ ! [SY133: b] :
~ ( q @ SV23 @ SY133 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(239,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
!= SV43 )
| ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= SV43 ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[212]) ).
thf(240,plain,
! [SV24: b > $o] :
( ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
!= $true )
| ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[212]) ).
thf(241,plain,
! [SV24: b > $o] :
( ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
!= $false )
| ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[212]) ).
thf(242,plain,
! [SV25: b > $o] :
( ( ~ ( ! [SY136: b] : ( SV25 @ SY136 )
| ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) ) )
| ~ ( ~ ! [SY136: b] : ( SV25 @ SY136 )
| ~ ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[213]) ).
thf(243,plain,
! [SV25: b > $o] :
( ( ( ! [SY136: b] : ( SV25 @ SY136 ) )
= ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[213]) ).
thf(244,plain,
( ( p @ sK1_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(245,plain,
! [SV44: b > $o,SV26: b,SV4: b] :
( ( ( SV4 != SV26 )
| ( ( ( hilbert_Eps_b @ SV44 )
= SV26 )
= ( ( hilbert_Eps_b @ SV44 )
= SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(246,plain,
! [SV45: b,SV27: b,SV5: b > $o] :
( ( ~ ( SV5 @ SV27 )
| ~ ~ ( SV5 @ SV45 )
| ( ( hilbert_Eps_b @ SV5 )
!= SV45 )
| ( ( hilbert_Eps_b @ SV5 )
= SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(247,plain,
! [SV46: b > $o,SV28: b,SV6: b > $o] :
( ( ~ ( SV6 @ SV28 )
| ~ ! [SY167: b] :
( ~ ( SV6 @ SY167 )
| ( SV46 @ SY167 ) )
| ( SV46 @ ( hilbert_Eps_b @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(248,plain,
! [SV47: b > $o,SV29: b > $o,SV7: b] :
( ( ( SV7
!= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
| ~ ! [SY169: b] :
( ( SV29 @ SY169 )
= ( SV47 @ SY169 ) )
| ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= ( SV29 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(249,plain,
! [SV30: b > $o,SV8: b > $o] :
( ( ( ~ ~ ! [SY99: b] :
~ ( SV8 @ SY99 ) )
= $true )
| ( ( ~ ! [SY147: b] :
( ~ ( SV8 @ SY147 )
| ( SV30 @ SY147 ) )
| ( SV30 @ ( hilbert_Eps_b @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(250,plain,
! [SV48: b,SV31: b,SV9: b > $o] :
( ( ( ( hilbert_Eps_b @ SV9 )
!= SV31 )
| ~ ( SV9 @ SV48 )
| ( SV9 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(251,plain,
! [SV32: b,SV10: b > $o] :
( ( ( ~ ( SV10 @ SV32 ) )
= $true )
| ( ( SV10 @ ( hilbert_Eps_b @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(252,plain,
! [SV33: b > $o,SV11: b > $o] :
( ( ( ~ ! [SY149: b] :
( ( SV11 @ SY149 )
= ( SV33 @ SY149 ) ) )
= $true )
| ( ( ( hilbert_Eps_b @ SV11 )
= ( hilbert_Eps_b @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(253,plain,
! [SV34: b,SV12: b > $o] :
( ( ( ~ ~ ! [SY107: b] :
~ ( SV12 @ SY107 ) )
= $true )
| ( ( ( SV34
!= ( hilbert_Eps_b @ SV12 ) )
| ( SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(254,plain,
! [SV13: b > $o] :
( ( ( ~ ( ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
| ~ ! [SY108: b] :
~ ( SV13 @ SY108 ) ) )
= $true )
| ( ( ~ ( ~ ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
| ~ ~ ! [SY108: b] :
~ ( SV13 @ SY108 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(255,plain,
! [SV35: b > $o,SV14: b] :
( ( ( SV14
!= ( hilbert_Eps_b @ SV35 ) )
= $true )
| ( ( ( ~ ! [SY151: b] :
~ ( SV35 @ SY151 ) )
= ( SV35 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(256,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
!= SV36 )
= $true )
| ( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(257,plain,
! [SV15: b > $o] :
( ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
!= $true )
= $true )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(258,plain,
! [SV15: b > $o] :
( ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
!= $false )
= $true )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(259,plain,
! [SV37: b,SV16: b > $o] :
( ( ( ~ ( SV16 @ SV37 ) )
= $true )
| ( ( SV16 @ ( hilbert_Eps_b @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(260,plain,
! [SV38: b,SV17: b > $o] :
( ( ( ~ ( SV17 @ SV38 ) )
= $true )
| ( ( ~ ! [SY154: b] :
( ~ ( SV17 @ SY154 )
| ( SY154 = SV38 ) )
| ( ( hilbert_Eps_b @ SV17 )
= SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(261,plain,
! [SV49: b > $o,SV39: b > $o,SV18: b] :
( ( ( SV18
!= ( hilbert_Eps_b @ SV39 ) )
| ~ ! [SY171: b] :
( ( SV39 @ SY171 )
= ( SV49 @ SY171 ) )
| ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= ( SV39 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(262,plain,
! [SV19: b > $o] :
( ( ( ~ ! [SY121: b] :
~ ( SV19 @ SY121 ) )
= $false )
| ( ( SV19 @ ( hilbert_Eps_b @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(263,plain,
! [SV40: b > $o,SV20: b] :
( ( ( SV20
!= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
= $true )
| ( ( ( ! [SY159: b] : ( SV40 @ SY159 ) )
= ( SV40 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(264,plain,
! [SV41: b,SV21: b > $o] :
( ( ( ~ ~ ! [SY126: b] :
~ ~ ( ~ ( SV21 @ SY126 )
| ~ ! [SY127: b] :
( ~ ( SV21 @ SY127 )
| ( SY127 = SY126 ) ) ) )
= $true )
| ( ( ~ ( SV21 @ SV41 )
| ( ( hilbert_Eps_b @ SV21 )
= SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(265,plain,
! [SV50: b > $o,SV42: b > $o,SV22: set_b] :
( ( ~ ~ ! [SY163: b] :
~ ~ ( ~ ( member_b @ SY163 @ SV22 )
| ~ ( SV42 @ SY163 ) )
| ~ ! [SY174: b] :
( ~ ~ ( ~ ( member_b @ SY174 @ SV22 )
| ~ ( SV42 @ SY174 ) )
| ( SV50 @ SY174 ) )
| ( SV50
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(266,plain,
! [SV23: a] :
( ( ( p @ SV23 )
= $false )
| ( ( ~ ! [SY133: b] :
~ ( q @ SV23 @ SY133 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(267,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
!= SV43 )
= $true )
| ( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(268,plain,
! [SV24: b > $o] :
( ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
!= $true )
= $true )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(269,plain,
! [SV24: b > $o] :
( ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
!= $false )
= $true )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(270,plain,
! [SV25: b > $o] :
( ( ( ~ ( ! [SY136: b] : ( SV25 @ SY136 )
| ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY136: b] : ( SV25 @ SY136 )
| ~ ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(271,plain,
! [SV44: b > $o,SV26: b,SV4: b] :
( ( ( SV4 != SV26 )
= $true )
| ( ( ( ( hilbert_Eps_b @ SV44 )
= SV26 )
= ( ( hilbert_Eps_b @ SV44 )
= SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(272,plain,
! [SV45: b,SV27: b,SV5: b > $o] :
( ( ( ~ ( SV5 @ SV27 ) )
= $true )
| ( ( ~ ~ ( SV5 @ SV45 )
| ( ( hilbert_Eps_b @ SV5 )
!= SV45 )
| ( ( hilbert_Eps_b @ SV5 )
= SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(273,plain,
! [SV46: b > $o,SV28: b,SV6: b > $o] :
( ( ( ~ ( SV6 @ SV28 ) )
= $true )
| ( ( ~ ! [SY167: b] :
( ~ ( SV6 @ SY167 )
| ( SV46 @ SY167 ) )
| ( SV46 @ ( hilbert_Eps_b @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(274,plain,
! [SV47: b > $o,SV29: b > $o,SV7: b] :
( ( ( SV7
!= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $true )
| ( ( ~ ! [SY169: b] :
( ( SV29 @ SY169 )
= ( SV47 @ SY169 ) )
| ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= ( SV29 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(275,plain,
! [SV30: b > $o,SV8: b > $o] :
( ( ( ~ ! [SY99: b] :
~ ( SV8 @ SY99 ) )
= $false )
| ( ( ~ ! [SY147: b] :
( ~ ( SV8 @ SY147 )
| ( SV30 @ SY147 ) )
| ( SV30 @ ( hilbert_Eps_b @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(276,plain,
! [SV48: b,SV31: b,SV9: b > $o] :
( ( ( ( hilbert_Eps_b @ SV9 )
!= SV31 )
= $true )
| ( ( ~ ( SV9 @ SV48 )
| ( SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(277,plain,
! [SV32: b,SV10: b > $o] :
( ( ( SV10 @ SV32 )
= $false )
| ( ( SV10 @ ( hilbert_Eps_b @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(278,plain,
! [SV33: b > $o,SV11: b > $o] :
( ( ( ! [SY149: b] :
( ( SV11 @ SY149 )
= ( SV33 @ SY149 ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV11 )
= ( hilbert_Eps_b @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(279,plain,
! [SV34: b,SV12: b > $o] :
( ( ( ~ ! [SY107: b] :
~ ( SV12 @ SY107 ) )
= $false )
| ( ( ( SV34
!= ( hilbert_Eps_b @ SV12 ) )
| ( SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(280,plain,
! [SV13: b > $o] :
( ( ( ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
| ~ ! [SY108: b] :
~ ( SV13 @ SY108 ) )
= $false )
| ( ( ~ ( ~ ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
| ~ ~ ! [SY108: b] :
~ ( SV13 @ SY108 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(281,plain,
! [SV35: b > $o,SV14: b] :
( ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false )
| ( ( ( ~ ! [SY151: b] :
~ ( SV35 @ SY151 ) )
= ( SV35 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(282,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= SV36 )
= $false )
| ( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(283,plain,
! [SV15: b > $o] :
( ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
= $false )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(284,plain,
! [SV15: b > $o] :
( ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
= $false )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(285,plain,
! [SV37: b,SV16: b > $o] :
( ( ( SV16 @ SV37 )
= $false )
| ( ( SV16 @ ( hilbert_Eps_b @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(286,plain,
! [SV38: b,SV17: b > $o] :
( ( ( SV17 @ SV38 )
= $false )
| ( ( ~ ! [SY154: b] :
( ~ ( SV17 @ SY154 )
| ( SY154 = SV38 ) )
| ( ( hilbert_Eps_b @ SV17 )
= SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(287,plain,
! [SV49: b > $o,SV39: b > $o,SV18: b] :
( ( ( SV18
!= ( hilbert_Eps_b @ SV39 ) )
= $true )
| ( ( ~ ! [SY171: b] :
( ( SV39 @ SY171 )
= ( SV49 @ SY171 ) )
| ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= ( SV39 @ SV18 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(288,plain,
! [SV19: b > $o] :
( ( ( ! [SY121: b] :
~ ( SV19 @ SY121 ) )
= $true )
| ( ( SV19 @ ( hilbert_Eps_b @ SV19 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(289,plain,
! [SV40: b > $o,SV20: b] :
( ( ( SV20
= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
= $false )
| ( ( ( ! [SY159: b] : ( SV40 @ SY159 ) )
= ( SV40 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(290,plain,
! [SV41: b,SV21: b > $o] :
( ( ( ~ ! [SY126: b] :
~ ~ ( ~ ( SV21 @ SY126 )
| ~ ! [SY127: b] :
( ~ ( SV21 @ SY127 )
| ( SY127 = SY126 ) ) ) )
= $false )
| ( ( ~ ( SV21 @ SV41 )
| ( ( hilbert_Eps_b @ SV21 )
= SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(291,plain,
! [SV50: b > $o,SV42: b > $o,SV22: set_b] :
( ( ( ~ ~ ! [SY163: b] :
~ ~ ( ~ ( member_b @ SY163 @ SV22 )
| ~ ( SV42 @ SY163 ) ) )
= $true )
| ( ( ~ ! [SY174: b] :
( ~ ~ ( ~ ( member_b @ SY174 @ SV22 )
| ~ ( SV42 @ SY174 ) )
| ( SV50 @ SY174 ) )
| ( SV50
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(292,plain,
! [SV23: a] :
( ( ( ! [SY133: b] :
~ ( q @ SV23 @ SY133 ) )
= $false )
| ( ( p @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(293,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false )
| ( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(294,plain,
! [SV24: b > $o] :
( ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(295,plain,
! [SV24: b > $o] :
( ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(296,plain,
! [SV25: b > $o] :
( ( ( ! [SY136: b] : ( SV25 @ SY136 )
| ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY136: b] : ( SV25 @ SY136 )
| ~ ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(297,plain,
! [SV44: b > $o,SV26: b,SV4: b] :
( ( ( SV4 = SV26 )
= $false )
| ( ( ( ( hilbert_Eps_b @ SV44 )
= SV26 )
= ( ( hilbert_Eps_b @ SV44 )
= SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(298,plain,
! [SV45: b,SV27: b,SV5: b > $o] :
( ( ( SV5 @ SV27 )
= $false )
| ( ( ~ ~ ( SV5 @ SV45 )
| ( ( hilbert_Eps_b @ SV5 )
!= SV45 )
| ( ( hilbert_Eps_b @ SV5 )
= SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(299,plain,
! [SV46: b > $o,SV28: b,SV6: b > $o] :
( ( ( SV6 @ SV28 )
= $false )
| ( ( ~ ! [SY167: b] :
( ~ ( SV6 @ SY167 )
| ( SV46 @ SY167 ) )
| ( SV46 @ ( hilbert_Eps_b @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(300,plain,
! [SV47: b > $o,SV29: b > $o,SV7: b] :
( ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false )
| ( ( ~ ! [SY169: b] :
( ( SV29 @ SY169 )
= ( SV47 @ SY169 ) )
| ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= ( SV29 @ SV7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(301,plain,
! [SV30: b > $o,SV8: b > $o] :
( ( ( ! [SY99: b] :
~ ( SV8 @ SY99 ) )
= $true )
| ( ( ~ ! [SY147: b] :
( ~ ( SV8 @ SY147 )
| ( SV30 @ SY147 ) )
| ( SV30 @ ( hilbert_Eps_b @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(302,plain,
! [SV48: b,SV31: b,SV9: b > $o] :
( ( ( ( hilbert_Eps_b @ SV9 )
= SV31 )
= $false )
| ( ( ~ ( SV9 @ SV48 )
| ( SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(303,plain,
! [SV33: b > $o,SV11: b > $o] :
( ( ( ( SV11 @ ( sK2_SY149 @ SV33 @ SV11 ) )
= ( SV33 @ ( sK2_SY149 @ SV33 @ SV11 ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV11 )
= ( hilbert_Eps_b @ SV33 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[278]) ).
thf(304,plain,
! [SV34: b,SV12: b > $o] :
( ( ( ! [SY107: b] :
~ ( SV12 @ SY107 ) )
= $true )
| ( ( ( SV34
!= ( hilbert_Eps_b @ SV12 ) )
| ( SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(305,plain,
! [SV13: b > $o] :
( ( ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
= $false )
| ( ( ~ ( ~ ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
| ~ ~ ! [SY108: b] :
~ ( SV13 @ SY108 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(306,plain,
! [SV13: b > $o] :
( ( ( ~ ! [SY108: b] :
~ ( SV13 @ SY108 ) )
= $false )
| ( ( ~ ( ~ ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
| ~ ~ ! [SY108: b] :
~ ( SV13 @ SY108 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(307,plain,
! [SV14: b,SV35: b > $o] :
( ( ( ~ ( ~ ! [SY151: b] :
~ ( SV35 @ SY151 )
| ( SV35 @ SV14 ) )
| ~ ( ~ ~ ! [SY151: b] :
~ ( SV35 @ SY151 )
| ~ ( SV35 @ SV14 ) ) )
= $true )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[281]) ).
thf(308,plain,
! [SV14: b,SV35: b > $o] :
( ( ( ( ~ ! [SY151: b] :
~ ( SV35 @ SY151 ) )
= ( SV35 @ SV14 ) )
= $true )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[281]) ).
thf(309,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
| SV36 )
| ~ ( ~ ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
| ~ SV36 ) )
= $false )
| ( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= SV36 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[282]) ).
thf(310,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= SV36 )
= $false )
| ( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= SV36 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[282]) ).
thf(311,plain,
! [SV15: b > $o] :
( ( ( ~ ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
| $true )
| ~ ( ~ ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
| ~ $true ) )
= $false )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[283]) ).
thf(312,plain,
! [SV15: b > $o] :
( ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
= $false )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[283]) ).
thf(313,plain,
! [SV15: b > $o] :
( ( ( ~ ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
| $false )
| ~ ( ~ ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
| ~ $false ) )
= $false )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[284]) ).
thf(314,plain,
! [SV15: b > $o] :
( ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
= $false )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[284]) ).
thf(315,plain,
! [SV38: b,SV17: b > $o] :
( ( ( ~ ! [SY154: b] :
( ~ ( SV17 @ SY154 )
| ( SY154 = SV38 ) ) )
= $true )
| ( ( ( hilbert_Eps_b @ SV17 )
= SV38 )
= $true )
| ( ( SV17 @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(316,plain,
! [SV49: b > $o,SV39: b > $o,SV18: b] :
( ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false )
| ( ( ~ ! [SY171: b] :
( ( SV39 @ SY171 )
= ( SV49 @ SY171 ) )
| ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= ( SV39 @ SV18 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(317,plain,
! [SV51: b,SV19: b > $o] :
( ( ( ~ ( SV19 @ SV51 ) )
= $true )
| ( ( SV19 @ ( hilbert_Eps_b @ SV19 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(318,plain,
! [SV20: b,SV40: b > $o] :
( ( ( ~ ( ! [SY159: b] : ( SV40 @ SY159 )
| ( SV40 @ SV20 ) )
| ~ ( ~ ! [SY159: b] : ( SV40 @ SY159 )
| ~ ( SV40 @ SV20 ) ) )
= $true )
| ( ( SV20
= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[289]) ).
thf(319,plain,
! [SV20: b,SV40: b > $o] :
( ( ( ( ! [SY159: b] : ( SV40 @ SY159 ) )
= ( SV40 @ SV20 ) )
= $true )
| ( ( SV20
= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[289]) ).
thf(320,plain,
! [SV41: b,SV21: b > $o] :
( ( ( ! [SY126: b] :
~ ~ ( ~ ( SV21 @ SY126 )
| ~ ! [SY127: b] :
( ~ ( SV21 @ SY127 )
| ( SY127 = SY126 ) ) ) )
= $true )
| ( ( ~ ( SV21 @ SV41 )
| ( ( hilbert_Eps_b @ SV21 )
= SV41 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(321,plain,
! [SV50: b > $o,SV42: b > $o,SV22: set_b] :
( ( ( ~ ! [SY163: b] :
~ ~ ( ~ ( member_b @ SY163 @ SV22 )
| ~ ( SV42 @ SY163 ) ) )
= $false )
| ( ( ~ ! [SY174: b] :
( ~ ~ ( ~ ( member_b @ SY174 @ SV22 )
| ~ ( SV42 @ SY174 ) )
| ( SV50 @ SY174 ) )
| ( SV50
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(322,plain,
! [SV23: a] :
( ( ( ~ ( q @ SV23 @ ( sK3_SY133 @ SV23 ) ) )
= $false )
| ( ( p @ SV23 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[292]) ).
thf(323,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
| SV43 )
| ~ ( ~ ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
| ~ SV43 ) )
= $false )
| ( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= SV43 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[293]) ).
thf(324,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false )
| ( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= SV43 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[293]) ).
thf(325,plain,
! [SV24: b > $o] :
( ( ( ~ ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
| $true )
| ~ ( ~ ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
| ~ $true ) )
= $false )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[294]) ).
thf(326,plain,
! [SV24: b > $o] :
( ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[294]) ).
thf(327,plain,
! [SV24: b > $o] :
( ( ( ~ ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
| $false )
| ~ ( ~ ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
| ~ $false ) )
= $false )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[295]) ).
thf(328,plain,
! [SV24: b > $o] :
( ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[295]) ).
thf(329,plain,
! [SV25: b > $o] :
( ( ( ! [SY136: b] : ( SV25 @ SY136 ) )
= $false )
| ( ( ~ ( ~ ! [SY136: b] : ( SV25 @ SY136 )
| ~ ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(330,plain,
! [SV25: b > $o] :
( ( ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY136: b] : ( SV25 @ SY136 )
| ~ ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(331,plain,
! [SV4: b,SV26: b,SV44: b > $o] :
( ( ( ~ ( ( ( hilbert_Eps_b @ SV44 )
= SV26 )
| ( ( hilbert_Eps_b @ SV44 )
= SV4 ) )
| ~ ( ( ( hilbert_Eps_b @ SV44 )
!= SV26 )
| ( ( hilbert_Eps_b @ SV44 )
!= SV4 ) ) )
= $true )
| ( ( SV4 = SV26 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[297]) ).
thf(332,plain,
! [SV4: b,SV26: b,SV44: b > $o] :
( ( ( ( ( hilbert_Eps_b @ SV44 )
= SV26 )
= ( ( hilbert_Eps_b @ SV44 )
= SV4 ) )
= $true )
| ( ( SV4 = SV26 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[297]) ).
thf(333,plain,
! [SV27: b,SV45: b,SV5: b > $o] :
( ( ( ~ ~ ( SV5 @ SV45 ) )
= $true )
| ( ( ( ( hilbert_Eps_b @ SV5 )
!= SV45 )
| ( ( hilbert_Eps_b @ SV5 )
= SV27 ) )
= $true )
| ( ( SV5 @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(334,plain,
! [SV28: b,SV46: b > $o,SV6: b > $o] :
( ( ( ~ ! [SY167: b] :
( ~ ( SV6 @ SY167 )
| ( SV46 @ SY167 ) ) )
= $true )
| ( ( SV46 @ ( hilbert_Eps_b @ SV6 ) )
= $true )
| ( ( SV6 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(335,plain,
! [SV7: b,SV47: b > $o,SV29: b > $o] :
( ( ( ~ ! [SY169: b] :
( ( SV29 @ SY169 )
= ( SV47 @ SY169 ) ) )
= $true )
| ( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= ( SV29 @ SV7 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(336,plain,
! [SV30: b > $o,SV52: b,SV8: b > $o] :
( ( ( ~ ( SV8 @ SV52 ) )
= $true )
| ( ( ~ ! [SY147: b] :
( ~ ( SV8 @ SY147 )
| ( SV30 @ SY147 ) )
| ( SV30 @ ( hilbert_Eps_b @ SV8 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(337,plain,
! [SV31: b,SV48: b,SV9: b > $o] :
( ( ( ~ ( SV9 @ SV48 ) )
= $true )
| ( ( SV9 @ SV31 )
= $true )
| ( ( ( hilbert_Eps_b @ SV9 )
= SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(338,plain,
! [SV33: b > $o,SV11: b > $o] :
( ( ( ~ ( ( SV11 @ ( sK2_SY149 @ SV33 @ SV11 ) )
| ( SV33 @ ( sK2_SY149 @ SV33 @ SV11 ) ) )
| ~ ( ~ ( SV11 @ ( sK2_SY149 @ SV33 @ SV11 ) )
| ~ ( SV33 @ ( sK2_SY149 @ SV33 @ SV11 ) ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV11 )
= ( hilbert_Eps_b @ SV33 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[303]) ).
thf(339,plain,
! [SV33: b > $o,SV11: b > $o] :
( ( ( ( SV11 @ ( sK2_SY149 @ SV33 @ SV11 ) )
= ( SV33 @ ( sK2_SY149 @ SV33 @ SV11 ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV11 )
= ( hilbert_Eps_b @ SV33 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[303]) ).
thf(340,plain,
! [SV34: b,SV53: b,SV12: b > $o] :
( ( ( ~ ( SV12 @ SV53 ) )
= $true )
| ( ( ( SV34
!= ( hilbert_Eps_b @ SV12 ) )
| ( SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(341,plain,
! [SV13: b > $o] :
( ( ( ~ ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
| ~ ~ ! [SY108: b] :
~ ( SV13 @ SY108 ) )
= $false )
| ( ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(342,plain,
! [SV13: b > $o] :
( ( ( ! [SY108: b] :
~ ( SV13 @ SY108 ) )
= $true )
| ( ( ~ ( ~ ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
| ~ ~ ! [SY108: b] :
~ ( SV13 @ SY108 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(343,plain,
! [SV14: b,SV35: b > $o] :
( ( ( ~ ( ~ ! [SY151: b] :
~ ( SV35 @ SY151 )
| ( SV35 @ SV14 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY151: b] :
~ ( SV35 @ SY151 )
| ~ ( SV35 @ SV14 ) ) )
= $true )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(344,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
| SV36 ) )
= $false )
| ( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= SV36 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(345,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ( ~ ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
| ~ SV36 ) )
= $false )
| ( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= SV36 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(346,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ( ! [SY113: b] : ( SV15 @ SY113 )
| SV36 )
| ~ ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 ) )
= $true )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= SV36 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[310]) ).
thf(347,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= SV36 )
= $true )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= SV36 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[310]) ).
thf(348,plain,
! [SV15: b > $o] :
( ( ( ~ ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
| $true ) )
= $false )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(349,plain,
! [SV15: b > $o] :
( ( ( ~ ( ~ ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
| ~ $true ) )
= $false )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(350,plain,
! [SV15: b > $o] :
( ( ( ~ ( ! [SX0: b] : ( SV15 @ SX0 )
| $true )
| ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true ) )
= $true )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[312]) ).
thf(351,plain,
! [SV15: b > $o] :
( ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
= $true )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[312]) ).
thf(352,plain,
! [SV15: b > $o] :
( ( ( ~ ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
| $false ) )
= $false )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[313]) ).
thf(353,plain,
! [SV15: b > $o] :
( ( ( ~ ( ~ ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
| ~ $false ) )
= $false )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[313]) ).
thf(354,plain,
! [SV15: b > $o] :
( ( ( ~ ( ! [SX0: b] : ( SV15 @ SX0 )
| $false )
| ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false ) )
= $true )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[314]) ).
thf(355,plain,
! [SV15: b > $o] :
( ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
= $true )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[314]) ).
thf(356,plain,
! [SV38: b,SV17: b > $o] :
( ( ( ! [SY154: b] :
( ~ ( SV17 @ SY154 )
| ( SY154 = SV38 ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV17 )
= SV38 )
= $true )
| ( ( SV17 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(357,plain,
! [SV18: b,SV49: b > $o,SV39: b > $o] :
( ( ( ~ ! [SY171: b] :
( ( SV39 @ SY171 )
= ( SV49 @ SY171 ) ) )
= $true )
| ( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= ( SV39 @ SV18 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(358,plain,
! [SV51: b,SV19: b > $o] :
( ( ( SV19 @ SV51 )
= $false )
| ( ( SV19 @ ( hilbert_Eps_b @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(359,plain,
! [SV20: b,SV40: b > $o] :
( ( ( ~ ( ! [SY159: b] : ( SV40 @ SY159 )
| ( SV40 @ SV20 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY159: b] : ( SV40 @ SY159 )
| ~ ( SV40 @ SV20 ) ) )
= $true )
| ( ( SV20
= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(360,plain,
! [SV41: b,SV54: b,SV21: b > $o] :
( ( ( ~ ~ ( ~ ( SV21 @ SV54 )
| ~ ! [SY176: b] :
( ~ ( SV21 @ SY176 )
| ( SY176 = SV54 ) ) ) )
= $true )
| ( ( ~ ( SV21 @ SV41 )
| ( ( hilbert_Eps_b @ SV21 )
= SV41 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(361,plain,
! [SV50: b > $o,SV42: b > $o,SV22: set_b] :
( ( ( ! [SY163: b] :
~ ~ ( ~ ( member_b @ SY163 @ SV22 )
| ~ ( SV42 @ SY163 ) ) )
= $true )
| ( ( ~ ! [SY174: b] :
( ~ ~ ( ~ ( member_b @ SY174 @ SV22 )
| ~ ( SV42 @ SY174 ) )
| ( SV50 @ SY174 ) )
| ( SV50
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(362,plain,
! [SV23: a] :
( ( ( q @ SV23 @ ( sK3_SY133 @ SV23 ) )
= $true )
| ( ( p @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(363,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
| SV43 ) )
= $false )
| ( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= SV43 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(364,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ( ~ ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
| ~ SV43 ) )
= $false )
| ( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= SV43 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(365,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| SV43 )
| ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[324]) ).
thf(366,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= SV43 )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[324]) ).
thf(367,plain,
! [SV24: b > $o] :
( ( ( ~ ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
| $true ) )
= $false )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[325]) ).
thf(368,plain,
! [SV24: b > $o] :
( ( ( ~ ( ~ ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
| ~ $true ) )
= $false )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[325]) ).
thf(369,plain,
! [SV24: b > $o] :
( ( ( ~ ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| $true )
| ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[326]) ).
thf(370,plain,
! [SV24: b > $o] :
( ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[326]) ).
thf(371,plain,
! [SV24: b > $o] :
( ( ( ~ ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
| $false ) )
= $false )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(372,plain,
! [SV24: b > $o] :
( ( ( ~ ( ~ ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
| ~ $false ) )
= $false )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(373,plain,
! [SV24: b > $o] :
( ( ( ~ ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| $false )
| ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[328]) ).
thf(374,plain,
! [SV24: b > $o] :
( ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[328]) ).
thf(375,plain,
! [SV25: b > $o] :
( ( ( SV25 @ ( sK4_SY136 @ SV25 ) )
= $false )
| ( ( ~ ( ~ ! [SY136: b] : ( SV25 @ SY136 )
| ~ ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[329]) ).
thf(376,plain,
! [SV25: b > $o] :
( ( ( ~ ! [SY136: b] : ( SV25 @ SY136 )
| ~ ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) ) )
= $false )
| ( ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(377,plain,
! [SV4: b,SV26: b,SV44: b > $o] :
( ( ( ~ ( ( ( hilbert_Eps_b @ SV44 )
= SV26 )
| ( ( hilbert_Eps_b @ SV44 )
= SV4 ) ) )
= $true )
| ( ( ~ ( ( ( hilbert_Eps_b @ SV44 )
!= SV26 )
| ( ( hilbert_Eps_b @ SV44 )
!= SV4 ) ) )
= $true )
| ( ( SV4 = SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(378,plain,
! [SV27: b,SV45: b,SV5: b > $o] :
( ( ( ~ ( SV5 @ SV45 ) )
= $false )
| ( ( ( ( hilbert_Eps_b @ SV5 )
!= SV45 )
| ( ( hilbert_Eps_b @ SV5 )
= SV27 ) )
= $true )
| ( ( SV5 @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(379,plain,
! [SV28: b,SV46: b > $o,SV6: b > $o] :
( ( ( ! [SY167: b] :
( ~ ( SV6 @ SY167 )
| ( SV46 @ SY167 ) ) )
= $false )
| ( ( SV46 @ ( hilbert_Eps_b @ SV6 ) )
= $true )
| ( ( SV6 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(380,plain,
! [SV7: b,SV47: b > $o,SV29: b > $o] :
( ( ( ! [SY169: b] :
( ( SV29 @ SY169 )
= ( SV47 @ SY169 ) ) )
= $false )
| ( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= ( SV29 @ SV7 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(381,plain,
! [SV30: b > $o,SV52: b,SV8: b > $o] :
( ( ( SV8 @ SV52 )
= $false )
| ( ( ~ ! [SY147: b] :
( ~ ( SV8 @ SY147 )
| ( SV30 @ SY147 ) )
| ( SV30 @ ( hilbert_Eps_b @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(382,plain,
! [SV31: b,SV48: b,SV9: b > $o] :
( ( ( SV9 @ SV48 )
= $false )
| ( ( SV9 @ SV31 )
= $true )
| ( ( ( hilbert_Eps_b @ SV9 )
= SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(383,plain,
! [SV33: b > $o,SV11: b > $o] :
( ( ( ~ ( ( SV11 @ ( sK2_SY149 @ SV33 @ SV11 ) )
| ( SV33 @ ( sK2_SY149 @ SV33 @ SV11 ) ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV11 )
= ( hilbert_Eps_b @ SV33 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[338]) ).
thf(384,plain,
! [SV33: b > $o,SV11: b > $o] :
( ( ( ~ ( ~ ( SV11 @ ( sK2_SY149 @ SV33 @ SV11 ) )
| ~ ( SV33 @ ( sK2_SY149 @ SV33 @ SV11 ) ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV11 )
= ( hilbert_Eps_b @ SV33 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[338]) ).
thf(385,plain,
! [SV34: b,SV53: b,SV12: b > $o] :
( ( ( SV12 @ SV53 )
= $false )
| ( ( ( SV34
!= ( hilbert_Eps_b @ SV12 ) )
| ( SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(386,plain,
! [SV13: b > $o] :
( ( ( ~ ( SV13 @ ( hilbert_Eps_b @ SV13 ) ) )
= $false )
| ( ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(387,plain,
! [SV13: b > $o] :
( ( ( ~ ~ ! [SY108: b] :
~ ( SV13 @ SY108 ) )
= $false )
| ( ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(388,plain,
! [SV55: b,SV13: b > $o] :
( ( ( ~ ( SV13 @ SV55 ) )
= $true )
| ( ( ~ ( ~ ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
| ~ ~ ! [SY108: b] :
~ ( SV13 @ SY108 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(389,plain,
! [SV14: b,SV35: b > $o] :
( ( ( ~ ! [SY151: b] :
~ ( SV35 @ SY151 )
| ( SV35 @ SV14 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY151: b] :
~ ( SV35 @ SY151 )
| ~ ( SV35 @ SV14 ) ) )
= $true )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(390,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
| SV36 )
= $true )
| ( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= SV36 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(391,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
| ~ SV36 )
= $true )
| ( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= SV36 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(392,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ( ! [SY113: b] : ( SV15 @ SY113 )
| SV36 ) )
= $true )
| ( ( ~ ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 ) )
= $true )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(393,plain,
! [SV15: b > $o] :
( ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
| $true )
= $true )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(394,plain,
! [SV15: b > $o] :
( ( ( ~ ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
| ~ $true )
= $true )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(395,plain,
! [SV15: b > $o] :
( ( ( ~ ( ! [SX0: b] : ( SV15 @ SX0 )
| $true ) )
= $true )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true ) )
= $true )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(396,plain,
! [SV15: b > $o] :
( ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
| $false )
= $true )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(397,plain,
! [SV15: b > $o] :
( ( ( ~ ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
| ~ $false )
= $true )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(398,plain,
! [SV15: b > $o] :
( ( ( ~ ( ! [SX0: b] : ( SV15 @ SX0 )
| $false ) )
= $true )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false ) )
= $true )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[354]) ).
thf(399,plain,
! [SV38: b,SV17: b > $o] :
( ( ( ~ ( SV17 @ ( sK5_SY154 @ SV38 @ SV17 ) )
| ( ( sK5_SY154 @ SV38 @ SV17 )
= SV38 ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV17 )
= SV38 )
= $true )
| ( ( SV17 @ SV38 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[356]) ).
thf(400,plain,
! [SV18: b,SV49: b > $o,SV39: b > $o] :
( ( ( ! [SY171: b] :
( ( SV39 @ SY171 )
= ( SV49 @ SY171 ) ) )
= $false )
| ( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= ( SV39 @ SV18 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(401,plain,
! [SV20: b,SV40: b > $o] :
( ( ( ! [SY159: b] : ( SV40 @ SY159 )
| ( SV40 @ SV20 ) )
= $false )
| ( ( ~ ( ~ ! [SY159: b] : ( SV40 @ SY159 )
| ~ ( SV40 @ SV20 ) ) )
= $true )
| ( ( SV20
= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(402,plain,
! [SV41: b,SV54: b,SV21: b > $o] :
( ( ( ~ ( ~ ( SV21 @ SV54 )
| ~ ! [SY176: b] :
( ~ ( SV21 @ SY176 )
| ( SY176 = SV54 ) ) ) )
= $false )
| ( ( ~ ( SV21 @ SV41 )
| ( ( hilbert_Eps_b @ SV21 )
= SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(403,plain,
! [SV50: b > $o,SV42: b > $o,SV22: set_b,SV56: b] :
( ( ( ~ ~ ( ~ ( member_b @ SV56 @ SV22 )
| ~ ( SV42 @ SV56 ) ) )
= $true )
| ( ( ~ ! [SY174: b] :
( ~ ~ ( ~ ( member_b @ SY174 @ SV22 )
| ~ ( SV42 @ SY174 ) )
| ( SV50 @ SY174 ) )
| ( SV50
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[361]) ).
thf(404,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
| SV43 )
= $true )
| ( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= SV43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(405,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
| ~ SV43 )
= $true )
| ( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= SV43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(406,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| SV43 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(407,plain,
! [SV24: b > $o] :
( ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
| $true )
= $true )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(408,plain,
! [SV24: b > $o] :
( ( ( ~ ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
| ~ $true )
= $true )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(409,plain,
! [SV24: b > $o] :
( ( ( ~ ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| $true ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(410,plain,
! [SV24: b > $o] :
( ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
| $false )
= $true )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(411,plain,
! [SV24: b > $o] :
( ( ( ~ ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
| ~ $false )
= $true )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[372]) ).
thf(412,plain,
! [SV24: b > $o] :
( ( ( ~ ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(413,plain,
! [SV25: b > $o] :
( ( ( ~ ! [SY136: b] : ( SV25 @ SY136 )
| ~ ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) ) )
= $false )
| ( ( SV25 @ ( sK4_SY136 @ SV25 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(414,plain,
! [SV25: b > $o] :
( ( ( ~ ! [SY136: b] : ( SV25 @ SY136 ) )
= $false )
| ( ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(415,plain,
! [SV25: b > $o] :
( ( ( ~ ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) ) )
= $false )
| ( ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(416,plain,
! [SV4: b,SV26: b,SV44: b > $o] :
( ( ( ( ( hilbert_Eps_b @ SV44 )
= SV26 )
| ( ( hilbert_Eps_b @ SV44 )
= SV4 ) )
= $false )
| ( ( ~ ( ( ( hilbert_Eps_b @ SV44 )
!= SV26 )
| ( ( hilbert_Eps_b @ SV44 )
!= SV4 ) ) )
= $true )
| ( ( SV4 = SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(417,plain,
! [SV27: b,SV45: b,SV5: b > $o] :
( ( ( SV5 @ SV45 )
= $true )
| ( ( ( ( hilbert_Eps_b @ SV5 )
!= SV45 )
| ( ( hilbert_Eps_b @ SV5 )
= SV27 ) )
= $true )
| ( ( SV5 @ SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(418,plain,
! [SV46: b > $o,SV28: b,SV6: b > $o] :
( ( ( ~ ( SV6 @ ( sK6_SY167 @ SV28 @ SV46 @ SV6 ) )
| ( SV46 @ ( sK6_SY167 @ SV28 @ SV46 @ SV6 ) ) )
= $false )
| ( ( SV46 @ ( hilbert_Eps_b @ SV6 ) )
= $true )
| ( ( SV6 @ SV28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[379]) ).
thf(419,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $false )
| ( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= ( SV29 @ SV7 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[380]) ).
thf(420,plain,
! [SV52: b,SV30: b > $o,SV8: b > $o] :
( ( ( ~ ! [SY147: b] :
( ~ ( SV8 @ SY147 )
| ( SV30 @ SY147 ) ) )
= $true )
| ( ( SV30 @ ( hilbert_Eps_b @ SV8 ) )
= $true )
| ( ( SV8 @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[381]) ).
thf(421,plain,
! [SV33: b > $o,SV11: b > $o] :
( ( ( ( SV11 @ ( sK2_SY149 @ SV33 @ SV11 ) )
| ( SV33 @ ( sK2_SY149 @ SV33 @ SV11 ) ) )
= $true )
| ( ( ( hilbert_Eps_b @ SV11 )
= ( hilbert_Eps_b @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(422,plain,
! [SV33: b > $o,SV11: b > $o] :
( ( ( ~ ( SV11 @ ( sK2_SY149 @ SV33 @ SV11 ) )
| ~ ( SV33 @ ( sK2_SY149 @ SV33 @ SV11 ) ) )
= $true )
| ( ( ( hilbert_Eps_b @ SV11 )
= ( hilbert_Eps_b @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(423,plain,
! [SV53: b,SV12: b > $o,SV34: b] :
( ( ( SV34
!= ( hilbert_Eps_b @ SV12 ) )
= $true )
| ( ( SV12 @ SV34 )
= $true )
| ( ( SV12 @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(424,plain,
! [SV13: b > $o] :
( ( ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
= $true )
| ( ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(425,plain,
! [SV13: b > $o] :
( ( ( ~ ! [SY108: b] :
~ ( SV13 @ SY108 ) )
= $true )
| ( ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(426,plain,
! [SV55: b,SV13: b > $o] :
( ( ( SV13 @ SV55 )
= $false )
| ( ( ~ ( ~ ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
| ~ ~ ! [SY108: b] :
~ ( SV13 @ SY108 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(427,plain,
! [SV14: b,SV35: b > $o] :
( ( ( ~ ! [SY151: b] :
~ ( SV35 @ SY151 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY151: b] :
~ ( SV35 @ SY151 )
| ~ ( SV35 @ SV14 ) ) )
= $true )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[389]) ).
thf(428,plain,
! [SV14: b,SV35: b > $o] :
( ( ( SV35 @ SV14 )
= $false )
| ( ( ~ ( ~ ~ ! [SY151: b] :
~ ( SV35 @ SY151 )
| ~ ( SV35 @ SV14 ) ) )
= $true )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[389]) ).
thf(429,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $true )
| ( SV36 = $true )
| ( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[390]) ).
thf(430,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) ) )
= $true )
| ( ( ~ SV36 ) = $true )
| ( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(431,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ! [SY113: b] : ( SV15 @ SY113 )
| SV36 )
= $false )
| ( ( ~ ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 ) )
= $true )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(432,plain,
! [SV15: b > $o] :
( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
| ( $true = $true )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(433,plain,
! [SV15: b > $o] :
( ( ( ~ ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[394]) ).
thf(434,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 )
| $true )
= $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true ) )
= $true )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(435,plain,
! [SV15: b > $o] :
( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
| ( $false = $true )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[396]) ).
thf(436,plain,
! [SV15: b > $o] :
( ( ( ~ ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) ) )
= $true )
| ( ( ~ $false ) = $true )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(437,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 )
| $false )
= $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false ) )
= $true )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(438,plain,
! [SV38: b,SV17: b > $o] :
( ( ( ~ ( SV17 @ ( sK5_SY154 @ SV38 @ SV17 ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV17 )
= SV38 )
= $true )
| ( ( SV17 @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[399]) ).
thf(439,plain,
! [SV17: b > $o,SV38: b] :
( ( ( ( sK5_SY154 @ SV38 @ SV17 )
= SV38 )
= $false )
| ( ( ( hilbert_Eps_b @ SV17 )
= SV38 )
= $true )
| ( ( SV17 @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[399]) ).
thf(440,plain,
! [SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= ( SV39 @ SV18 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[400]) ).
thf(441,plain,
! [SV20: b,SV40: b > $o] :
( ( ( ! [SY159: b] : ( SV40 @ SY159 ) )
= $false )
| ( ( ~ ( ~ ! [SY159: b] : ( SV40 @ SY159 )
| ~ ( SV40 @ SV20 ) ) )
= $true )
| ( ( SV20
= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(442,plain,
! [SV20: b,SV40: b > $o] :
( ( ( SV40 @ SV20 )
= $false )
| ( ( ~ ( ~ ! [SY159: b] : ( SV40 @ SY159 )
| ~ ( SV40 @ SV20 ) ) )
= $true )
| ( ( SV20
= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(443,plain,
! [SV41: b,SV54: b,SV21: b > $o] :
( ( ( ~ ( SV21 @ SV54 )
| ~ ! [SY176: b] :
( ~ ( SV21 @ SY176 )
| ( SY176 = SV54 ) ) )
= $true )
| ( ( ~ ( SV21 @ SV41 )
| ( ( hilbert_Eps_b @ SV21 )
= SV41 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[402]) ).
thf(444,plain,
! [SV50: b > $o,SV42: b > $o,SV22: set_b,SV56: b] :
( ( ( ~ ( ~ ( member_b @ SV56 @ SV22 )
| ~ ( SV42 @ SV56 ) ) )
= $false )
| ( ( ~ ! [SY174: b] :
( ~ ~ ( ~ ( member_b @ SY174 @ SV22 )
| ~ ( SV42 @ SY174 ) )
| ( SV50 @ SY174 ) )
| ( SV50
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(445,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
| ( SV43 = $true )
| ( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(446,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ( SV24 @ ( hilbert_Eps_b @ SV24 ) ) )
= $true )
| ( ( ~ SV43 ) = $true )
| ( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(447,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| SV43 )
= $false )
| ( ( ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(448,plain,
! [SV24: b > $o] :
( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
| ( $true = $true )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(449,plain,
! [SV24: b > $o] :
( ( ( ~ ( SV24 @ ( hilbert_Eps_b @ SV24 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(450,plain,
! [SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| $true )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(451,plain,
! [SV24: b > $o] :
( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
| ( $false = $true )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(452,plain,
! [SV24: b > $o] :
( ( ( ~ ( SV24 @ ( hilbert_Eps_b @ SV24 ) ) )
= $true )
| ( ( ~ $false ) = $true )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(453,plain,
! [SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| $false )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(454,plain,
! [SV25: b > $o] :
( ( ( ~ ! [SY136: b] : ( SV25 @ SY136 ) )
= $false )
| ( ( SV25 @ ( sK4_SY136 @ SV25 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(455,plain,
! [SV25: b > $o] :
( ( ( ~ ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) ) )
= $false )
| ( ( SV25 @ ( sK4_SY136 @ SV25 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(456,plain,
! [SV25: b > $o] :
( ( ( ! [SY136: b] : ( SV25 @ SY136 ) )
= $true )
| ( ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[414]) ).
thf(457,plain,
! [SV25: b > $o] :
( ( ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) )
= $true )
| ( ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[415]) ).
thf(458,plain,
! [SV4: b,SV26: b,SV44: b > $o] :
( ( ( ( hilbert_Eps_b @ SV44 )
= SV26 )
= $false )
| ( ( ~ ( ( ( hilbert_Eps_b @ SV44 )
!= SV26 )
| ( ( hilbert_Eps_b @ SV44 )
!= SV4 ) ) )
= $true )
| ( ( SV4 = SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(459,plain,
! [SV26: b,SV4: b,SV44: b > $o] :
( ( ( ( hilbert_Eps_b @ SV44 )
= SV4 )
= $false )
| ( ( ~ ( ( ( hilbert_Eps_b @ SV44 )
!= SV26 )
| ( ( hilbert_Eps_b @ SV44 )
!= SV4 ) ) )
= $true )
| ( ( SV4 = SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(460,plain,
! [SV27: b,SV45: b,SV5: b > $o] :
( ( ( ( hilbert_Eps_b @ SV5 )
!= SV45 )
= $true )
| ( ( ( hilbert_Eps_b @ SV5 )
= SV27 )
= $true )
| ( ( SV5 @ SV45 )
= $true )
| ( ( SV5 @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(461,plain,
! [SV46: b > $o,SV28: b,SV6: b > $o] :
( ( ( ~ ( SV6 @ ( sK6_SY167 @ SV28 @ SV46 @ SV6 ) ) )
= $false )
| ( ( SV46 @ ( hilbert_Eps_b @ SV6 ) )
= $true )
| ( ( SV6 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(462,plain,
! [SV6: b > $o,SV28: b,SV46: b > $o] :
( ( ( SV46 @ ( sK6_SY167 @ SV28 @ SV46 @ SV6 ) )
= $false )
| ( ( SV46 @ ( hilbert_Eps_b @ SV6 ) )
= $true )
| ( ( SV6 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(463,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( ~ ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
| ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
| ~ ( ~ ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
| ~ ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) ) )
= $false )
| ( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= ( SV29 @ SV7 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[419]) ).
thf(464,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $false )
| ( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= ( SV29 @ SV7 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[419]) ).
thf(465,plain,
! [SV52: b,SV30: b > $o,SV8: b > $o] :
( ( ( ! [SY147: b] :
( ~ ( SV8 @ SY147 )
| ( SV30 @ SY147 ) ) )
= $false )
| ( ( SV30 @ ( hilbert_Eps_b @ SV8 ) )
= $true )
| ( ( SV8 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(466,plain,
! [SV33: b > $o,SV11: b > $o] :
( ( ( SV11 @ ( sK2_SY149 @ SV33 @ SV11 ) )
= $true )
| ( ( SV33 @ ( sK2_SY149 @ SV33 @ SV11 ) )
= $true )
| ( ( ( hilbert_Eps_b @ SV11 )
= ( hilbert_Eps_b @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(467,plain,
! [SV33: b > $o,SV11: b > $o] :
( ( ( ~ ( SV11 @ ( sK2_SY149 @ SV33 @ SV11 ) ) )
= $true )
| ( ( ~ ( SV33 @ ( sK2_SY149 @ SV33 @ SV11 ) ) )
= $true )
| ( ( ( hilbert_Eps_b @ SV11 )
= ( hilbert_Eps_b @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(468,plain,
! [SV53: b,SV12: b > $o,SV34: b] :
( ( ( SV34
= ( hilbert_Eps_b @ SV12 ) )
= $false )
| ( ( SV12 @ SV34 )
= $true )
| ( ( SV12 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(469,plain,
! [SV13: b > $o] :
( ( ( ! [SY108: b] :
~ ( SV13 @ SY108 ) )
= $false )
| ( ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(470,plain,
! [SV55: b,SV13: b > $o] :
( ( ( ~ ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
| ~ ~ ! [SY108: b] :
~ ( SV13 @ SY108 ) )
= $false )
| ( ( SV13 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(471,plain,
! [SV14: b,SV35: b > $o] :
( ( ( ! [SY151: b] :
~ ( SV35 @ SY151 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY151: b] :
~ ( SV35 @ SY151 )
| ~ ( SV35 @ SV14 ) ) )
= $true )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(472,plain,
! [SV14: b,SV35: b > $o] :
( ( ( ~ ~ ! [SY151: b] :
~ ( SV35 @ SY151 )
| ~ ( SV35 @ SV14 ) )
= $false )
| ( ( SV35 @ SV14 )
= $false )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(473,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ( ! [SY113: b] : ( SV15 @ SY113 )
| SV36 )
| ~ ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 ) )
= $true )
| ( SV36 = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[429]) ).
thf(474,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= SV36 )
= $true )
| ( SV36 = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[429]) ).
thf(475,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $false )
| ( ( ~ SV36 ) = $true )
| ( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(476,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= $false )
| ( ( ~ ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 ) )
= $true )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[431]) ).
thf(477,plain,
! [SV15: b > $o,SV36: $o] :
( ( SV36 = $false )
| ( ( ~ ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 ) )
= $true )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[431]) ).
thf(478,plain,
! [SV15: b > $o] :
( ( ( ~ ( ! [SX0: b] : ( SV15 @ SX0 )
| $true )
| ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true ) )
= $true )
| ( $true = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[432]) ).
thf(479,plain,
! [SV15: b > $o] :
( ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
= $true )
| ( $true = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[432]) ).
thf(480,plain,
! [SV15: b > $o] :
( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(481,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true ) )
= $true )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[434]) ).
thf(482,plain,
! [SV15: b > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true ) )
= $true )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[434]) ).
thf(483,plain,
! [SV15: b > $o] :
( ( ( ~ ( ! [SX0: b] : ( SV15 @ SX0 )
| $false )
| ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false ) )
= $true )
| ( $false = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[435]) ).
thf(484,plain,
! [SV15: b > $o] :
( ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
= $true )
| ( $false = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[435]) ).
thf(485,plain,
! [SV15: b > $o] :
( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( ( ~ $false ) = $true )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(486,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false ) )
= $true )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[437]) ).
thf(487,plain,
! [SV15: b > $o] :
( ( $false = $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false ) )
= $true )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[437]) ).
thf(488,plain,
! [SV38: b,SV17: b > $o] :
( ( ( SV17 @ ( sK5_SY154 @ SV38 @ SV17 ) )
= $true )
| ( ( ( hilbert_Eps_b @ SV17 )
= SV38 )
= $true )
| ( ( SV17 @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(489,plain,
! [SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( ~ ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
| ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
| ~ ( ~ ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
| ~ ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) ) )
= $false )
| ( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= ( SV39 @ SV18 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[440]) ).
thf(490,plain,
! [SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= ( SV39 @ SV18 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[440]) ).
thf(491,plain,
! [SV20: b,SV40: b > $o] :
( ( ( SV40 @ ( sK9_SY159 @ SV20 @ SV40 ) )
= $false )
| ( ( ~ ( ~ ! [SY159: b] : ( SV40 @ SY159 )
| ~ ( SV40 @ SV20 ) ) )
= $true )
| ( ( SV20
= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[441]) ).
thf(492,plain,
! [SV20: b,SV40: b > $o] :
( ( ( ~ ! [SY159: b] : ( SV40 @ SY159 )
| ~ ( SV40 @ SV20 ) )
= $false )
| ( ( SV40 @ SV20 )
= $false )
| ( ( SV20
= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(493,plain,
! [SV41: b,SV54: b,SV21: b > $o] :
( ( ( ~ ( SV21 @ SV54 ) )
= $true )
| ( ( ~ ! [SY176: b] :
( ~ ( SV21 @ SY176 )
| ( SY176 = SV54 ) ) )
= $true )
| ( ( ~ ( SV21 @ SV41 )
| ( ( hilbert_Eps_b @ SV21 )
= SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(494,plain,
! [SV50: b > $o,SV42: b > $o,SV22: set_b,SV56: b] :
( ( ( ~ ( member_b @ SV56 @ SV22 )
| ~ ( SV42 @ SV56 ) )
= $true )
| ( ( ~ ! [SY174: b] :
( ~ ~ ( ~ ( member_b @ SY174 @ SV22 )
| ~ ( SV42 @ SY174 ) )
| ( SV50 @ SY174 ) )
| ( SV50
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[444]) ).
thf(495,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| SV43 )
| ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[445]) ).
thf(496,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= SV43 )
= $true )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[445]) ).
thf(497,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( ( ~ SV43 ) = $true )
| ( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(498,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[447]) ).
thf(499,plain,
! [SV24: b > $o,SV43: $o] :
( ( SV43 = $false )
| ( ( ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[447]) ).
thf(500,plain,
! [SV24: b > $o] :
( ( ( ~ ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| $true )
| ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[448]) ).
thf(501,plain,
! [SV24: b > $o] :
( ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
= $true )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[448]) ).
thf(502,plain,
! [SV24: b > $o] :
( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(503,plain,
! [SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(504,plain,
! [SV24: b > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(505,plain,
! [SV24: b > $o] :
( ( ( ~ ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| $false )
| ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[451]) ).
thf(506,plain,
! [SV24: b > $o] :
( ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
= $true )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[451]) ).
thf(507,plain,
! [SV24: b > $o] :
( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( ( ~ $false ) = $true )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(508,plain,
! [SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(509,plain,
! [SV24: b > $o] :
( ( $false = $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(510,plain,
! [SV25: b > $o] :
( ( ( ! [SY136: b] : ( SV25 @ SY136 ) )
= $true )
| ( ( SV25 @ ( sK4_SY136 @ SV25 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[454]) ).
thf(511,plain,
! [SV25: b > $o] :
( ( ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) )
= $true )
| ( ( SV25 @ ( sK4_SY136 @ SV25 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[455]) ).
thf(512,plain,
! [SV57: b,SV25: b > $o] :
( ( ( SV25 @ SV57 )
= $true )
| ( ( SV25
@ ( hilbert_Eps_b
@ ^ [SY137: b] :
~ ( SV25 @ SY137 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(513,plain,
! [SV4: b,SV26: b,SV44: b > $o] :
( ( ( ( ( hilbert_Eps_b @ SV44 )
!= SV26 )
| ( ( hilbert_Eps_b @ SV44 )
!= SV4 ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV44 )
= SV26 )
= $false )
| ( ( SV4 = SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(514,plain,
! [SV4: b,SV26: b,SV44: b > $o] :
( ( ( ( ( hilbert_Eps_b @ SV44 )
!= SV26 )
| ( ( hilbert_Eps_b @ SV44 )
!= SV4 ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV44 )
= SV4 )
= $false )
| ( ( SV4 = SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(515,plain,
! [SV27: b,SV45: b,SV5: b > $o] :
( ( ( ( hilbert_Eps_b @ SV5 )
= SV45 )
= $false )
| ( ( ( hilbert_Eps_b @ SV5 )
= SV27 )
= $true )
| ( ( SV5 @ SV45 )
= $true )
| ( ( SV5 @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(516,plain,
! [SV46: b > $o,SV28: b,SV6: b > $o] :
( ( ( SV6 @ ( sK6_SY167 @ SV28 @ SV46 @ SV6 ) )
= $true )
| ( ( SV46 @ ( hilbert_Eps_b @ SV6 ) )
= $true )
| ( ( SV6 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(517,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( ~ ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
| ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) ) )
= $false )
| ( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= ( SV29 @ SV7 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[463]) ).
thf(518,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( ~ ( ~ ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
| ~ ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) ) )
= $false )
| ( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= ( SV29 @ SV7 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[463]) ).
thf(519,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ~ ( ! [SY170: b] : ( SV47 @ SY170 )
| ( SV29 @ SV7 ) )
| ~ ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) ) )
= $true )
| ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[464]) ).
thf(520,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= ( SV29 @ SV7 ) )
= $true )
| ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[464]) ).
thf(521,plain,
! [SV30: b > $o,SV52: b,SV8: b > $o] :
( ( ( ~ ( SV8 @ ( sK10_SY147 @ SV52 @ SV30 @ SV8 ) )
| ( SV30 @ ( sK10_SY147 @ SV52 @ SV30 @ SV8 ) ) )
= $false )
| ( ( SV30 @ ( hilbert_Eps_b @ SV8 ) )
= $true )
| ( ( SV8 @ SV52 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[465]) ).
thf(522,plain,
! [SV33: b > $o,SV11: b > $o] :
( ( ( SV11 @ ( sK2_SY149 @ SV33 @ SV11 ) )
= $false )
| ( ( ~ ( SV33 @ ( sK2_SY149 @ SV33 @ SV11 ) ) )
= $true )
| ( ( ( hilbert_Eps_b @ SV11 )
= ( hilbert_Eps_b @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(523,plain,
! [SV13: b > $o] :
( ( ( ~ ( SV13 @ ( sK11_SY108 @ SV13 ) ) )
= $false )
| ( ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[469]) ).
thf(524,plain,
! [SV55: b,SV13: b > $o] :
( ( ( ~ ( SV13 @ ( hilbert_Eps_b @ SV13 ) ) )
= $false )
| ( ( SV13 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[470]) ).
thf(525,plain,
! [SV55: b,SV13: b > $o] :
( ( ( ~ ~ ! [SY108: b] :
~ ( SV13 @ SY108 ) )
= $false )
| ( ( SV13 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[470]) ).
thf(526,plain,
! [SV14: b,SV58: b,SV35: b > $o] :
( ( ( ~ ( SV35 @ SV58 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY151: b] :
~ ( SV35 @ SY151 )
| ~ ( SV35 @ SV14 ) ) )
= $true )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(527,plain,
! [SV14: b,SV35: b > $o] :
( ( ( ~ ~ ! [SY151: b] :
~ ( SV35 @ SY151 ) )
= $false )
| ( ( SV35 @ SV14 )
= $false )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(528,plain,
! [SV14: b,SV35: b > $o] :
( ( ( ~ ( SV35 @ SV14 ) )
= $false )
| ( ( SV35 @ SV14 )
= $false )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(529,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ( ! [SY113: b] : ( SV15 @ SY113 )
| SV36 ) )
= $true )
| ( ( ~ ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 ) )
= $true )
| ( SV36 = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(530,plain,
! [SV15: b > $o,SV36: $o] :
( ( SV36 = $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $false )
| ( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(531,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( SV15 @ ( sK12_SY113 @ SV36 @ SV15 ) )
= $false )
| ( ( ~ ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 ) )
= $true )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= SV36 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[476]) ).
thf(532,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 )
= $false )
| ( SV36 = $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(533,plain,
! [SV15: b > $o] :
( ( ( ~ ( ! [SX0: b] : ( SV15 @ SX0 )
| $true ) )
= $true )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true ) )
= $true )
| ( $true = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[478]) ).
thf(534,plain,
! [SV15: b > $o] :
( ( $true = $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(535,plain,
! [SV15: b > $o] :
( ( ( SV15 @ ( sK13_SX0 @ SV15 ) )
= $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true ) )
= $true )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[481]) ).
thf(536,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(537,plain,
! [SV15: b > $o] :
( ( ( ~ ( ! [SX0: b] : ( SV15 @ SX0 )
| $false ) )
= $true )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false ) )
= $true )
| ( $false = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(538,plain,
! [SV15: b > $o] :
( ( $false = $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(539,plain,
! [SV15: b > $o] :
( ( ( SV15 @ ( sK14_SX0 @ SV15 ) )
= $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false ) )
= $true )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[486]) ).
thf(540,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false )
= $false )
| ( $false = $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(541,plain,
! [SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( ~ ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
| ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) ) )
= $false )
| ( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= ( SV39 @ SV18 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[489]) ).
thf(542,plain,
! [SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( ~ ( ~ ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
| ~ ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) ) )
= $false )
| ( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= ( SV39 @ SV18 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[489]) ).
thf(543,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ( SV39 @ SV18 ) )
| ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[490]) ).
thf(544,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= ( SV39 @ SV18 ) )
= $true )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[490]) ).
thf(545,plain,
! [SV20: b,SV40: b > $o] :
( ( ( ~ ! [SY159: b] : ( SV40 @ SY159 )
| ~ ( SV40 @ SV20 ) )
= $false )
| ( ( SV40 @ ( sK9_SY159 @ SV20 @ SV40 ) )
= $false )
| ( ( SV20
= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(546,plain,
! [SV20: b,SV40: b > $o] :
( ( ( ~ ! [SY159: b] : ( SV40 @ SY159 ) )
= $false )
| ( ( SV40 @ SV20 )
= $false )
| ( ( SV20
= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(547,plain,
! [SV20: b,SV40: b > $o] :
( ( ( ~ ( SV40 @ SV20 ) )
= $false )
| ( ( SV40 @ SV20 )
= $false )
| ( ( SV20
= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(548,plain,
! [SV41: b,SV54: b,SV21: b > $o] :
( ( ( SV21 @ SV54 )
= $false )
| ( ( ~ ! [SY176: b] :
( ~ ( SV21 @ SY176 )
| ( SY176 = SV54 ) ) )
= $true )
| ( ( ~ ( SV21 @ SV41 )
| ( ( hilbert_Eps_b @ SV21 )
= SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(549,plain,
! [SV50: b > $o,SV42: b > $o,SV22: set_b,SV56: b] :
( ( ( ~ ( member_b @ SV56 @ SV22 ) )
= $true )
| ( ( ~ ( SV42 @ SV56 ) )
= $true )
| ( ( ~ ! [SY174: b] :
( ~ ~ ( ~ ( member_b @ SY174 @ SV22 )
| ~ ( SV42 @ SY174 ) )
| ( SV50 @ SY174 ) )
| ( SV50
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(550,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| SV43 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(551,plain,
! [SV24: b > $o,SV43: $o] :
( ( SV43 = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(552,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(553,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 )
= $false )
| ( SV43 = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(554,plain,
! [SV24: b > $o] :
( ( ( ~ ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| $true ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(555,plain,
! [SV24: b > $o] :
( ( $true = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(556,plain,
! [SV24: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[503]) ).
thf(557,plain,
! [SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(558,plain,
! [SV24: b > $o] :
( ( ( ~ ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[505]) ).
thf(559,plain,
! [SV24: b > $o] :
( ( $false = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(560,plain,
! [SV24: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(561,plain,
! [SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false )
= $false )
| ( $false = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(562,plain,
! [SV59: b,SV25: b > $o] :
( ( ( SV25 @ SV59 )
= $true )
| ( ( SV25 @ ( sK4_SY136 @ SV25 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(563,plain,
! [SV4: b,SV26: b,SV44: b > $o] :
( ( ( ( hilbert_Eps_b @ SV44 )
!= SV26 )
= $false )
| ( ( ( hilbert_Eps_b @ SV44 )
= SV26 )
= $false )
| ( ( SV4 = SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[513]) ).
thf(564,plain,
! [SV26: b,SV4: b,SV44: b > $o] :
( ( ( ( hilbert_Eps_b @ SV44 )
!= SV4 )
= $false )
| ( ( ( hilbert_Eps_b @ SV44 )
= SV26 )
= $false )
| ( ( SV4 = SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[513]) ).
thf(565,plain,
! [SV4: b,SV26: b,SV44: b > $o] :
( ( ( ( hilbert_Eps_b @ SV44 )
!= SV26 )
= $false )
| ( ( ( hilbert_Eps_b @ SV44 )
= SV4 )
= $false )
| ( ( SV4 = SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[514]) ).
thf(566,plain,
! [SV26: b,SV4: b,SV44: b > $o] :
( ( ( ( hilbert_Eps_b @ SV44 )
!= SV4 )
= $false )
| ( ( ( hilbert_Eps_b @ SV44 )
= SV4 )
= $false )
| ( ( SV4 = SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[514]) ).
thf(567,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
| ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $true )
| ( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= ( SV29 @ SV7 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[517]) ).
thf(568,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( ~ ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
| ~ ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $true )
| ( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= ( SV29 @ SV7 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[518]) ).
thf(569,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ~ ( ! [SY170: b] : ( SV47 @ SY170 )
| ( SV29 @ SV7 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) ) )
= $true )
| ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[519]) ).
thf(570,plain,
! [SV30: b > $o,SV52: b,SV8: b > $o] :
( ( ( ~ ( SV8 @ ( sK10_SY147 @ SV52 @ SV30 @ SV8 ) ) )
= $false )
| ( ( SV30 @ ( hilbert_Eps_b @ SV8 ) )
= $true )
| ( ( SV8 @ SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(571,plain,
! [SV8: b > $o,SV52: b,SV30: b > $o] :
( ( ( SV30 @ ( sK10_SY147 @ SV52 @ SV30 @ SV8 ) )
= $false )
| ( ( SV30 @ ( hilbert_Eps_b @ SV8 ) )
= $true )
| ( ( SV8 @ SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(572,plain,
! [SV11: b > $o,SV33: b > $o] :
( ( ( SV33 @ ( sK2_SY149 @ SV33 @ SV11 ) )
= $false )
| ( ( SV11 @ ( sK2_SY149 @ SV33 @ SV11 ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV11 )
= ( hilbert_Eps_b @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(573,plain,
! [SV13: b > $o] :
( ( ( SV13 @ ( sK11_SY108 @ SV13 ) )
= $true )
| ( ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[523]) ).
thf(574,plain,
! [SV55: b,SV13: b > $o] :
( ( ( SV13 @ ( hilbert_Eps_b @ SV13 ) )
= $true )
| ( ( SV13 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[524]) ).
thf(575,plain,
! [SV55: b,SV13: b > $o] :
( ( ( ~ ! [SY108: b] :
~ ( SV13 @ SY108 ) )
= $true )
| ( ( SV13 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(576,plain,
! [SV14: b,SV58: b,SV35: b > $o] :
( ( ( SV35 @ SV58 )
= $false )
| ( ( ~ ( ~ ~ ! [SY151: b] :
~ ( SV35 @ SY151 )
| ~ ( SV35 @ SV14 ) ) )
= $true )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(577,plain,
! [SV14: b,SV35: b > $o] :
( ( ( ~ ! [SY151: b] :
~ ( SV35 @ SY151 ) )
= $true )
| ( ( SV35 @ SV14 )
= $false )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(578,plain,
! [SV14: b,SV35: b > $o] :
( ( ( SV35 @ SV14 )
= $true )
| ( ( SV35 @ SV14 )
= $false )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[528]) ).
thf(579,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ! [SY113: b] : ( SV15 @ SY113 )
| SV36 )
= $false )
| ( ( ~ ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 ) )
= $true )
| ( SV36 = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(580,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ( ! [SY113: b] : ( SV15 @ SY113 )
| SV36 )
| ~ ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 ) )
= $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $false )
| ( SV36 = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[530]) ).
thf(581,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= SV36 )
= $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $false )
| ( SV36 = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[530]) ).
thf(582,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 )
= $false )
| ( ( SV15 @ ( sK12_SY113 @ SV36 @ SV15 ) )
= $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(583,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ! [SY113: b] : ( SV15 @ SY113 ) )
= $false )
| ( SV36 = $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[532]) ).
thf(584,plain,
! [SV15: b > $o,SV36: $o] :
( ( ( ~ SV36 ) = $false )
| ( SV36 = $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[532]) ).
thf(585,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 )
| $true )
= $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true ) )
= $true )
| ( $true = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(586,plain,
! [SV15: b > $o] :
( ( ( ~ ( ! [SX0: b] : ( SV15 @ SX0 )
| $true )
| ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true ) )
= $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[534]) ).
thf(587,plain,
! [SV15: b > $o] :
( ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
= $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[534]) ).
thf(588,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true )
= $false )
| ( ( SV15 @ ( sK13_SX0 @ SV15 ) )
= $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(589,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
| ( $true = $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[536]) ).
thf(590,plain,
! [SV15: b > $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[536]) ).
thf(591,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 )
| $false )
= $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false ) )
= $true )
| ( $false = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(592,plain,
! [SV15: b > $o] :
( ( ( ~ ( ! [SX0: b] : ( SV15 @ SX0 )
| $false )
| ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false ) )
= $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[538]) ).
thf(593,plain,
! [SV15: b > $o] :
( ( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
= $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[538]) ).
thf(594,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false )
= $false )
| ( ( SV15 @ ( sK14_SX0 @ SV15 ) )
= $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(595,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
| ( $false = $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(596,plain,
! [SV15: b > $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(597,plain,
! [SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
| ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $true )
| ( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= ( SV39 @ SV18 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(598,plain,
! [SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( ~ ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
| ~ ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $true )
| ( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= ( SV39 @ SV18 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(599,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ( SV39 @ SV18 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[543]) ).
thf(600,plain,
! [SV20: b,SV40: b > $o] :
( ( ( ~ ! [SY159: b] : ( SV40 @ SY159 ) )
= $false )
| ( ( SV40 @ ( sK9_SY159 @ SV20 @ SV40 ) )
= $false )
| ( ( SV20
= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(601,plain,
! [SV20: b,SV40: b > $o] :
( ( ( ~ ( SV40 @ SV20 ) )
= $false )
| ( ( SV40 @ ( sK9_SY159 @ SV20 @ SV40 ) )
= $false )
| ( ( SV20
= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(602,plain,
! [SV20: b,SV40: b > $o] :
( ( ( ! [SY159: b] : ( SV40 @ SY159 ) )
= $true )
| ( ( SV40 @ SV20 )
= $false )
| ( ( SV20
= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[546]) ).
thf(603,plain,
! [SV20: b,SV40: b > $o] :
( ( ( SV40 @ SV20 )
= $true )
| ( ( SV40 @ SV20 )
= $false )
| ( ( SV20
= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(604,plain,
! [SV41: b,SV54: b,SV21: b > $o] :
( ( ( ! [SY176: b] :
( ~ ( SV21 @ SY176 )
| ( SY176 = SV54 ) ) )
= $false )
| ( ( SV21 @ SV54 )
= $false )
| ( ( ~ ( SV21 @ SV41 )
| ( ( hilbert_Eps_b @ SV21 )
= SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[548]) ).
thf(605,plain,
! [SV50: b > $o,SV42: b > $o,SV22: set_b,SV56: b] :
( ( ( member_b @ SV56 @ SV22 )
= $false )
| ( ( ~ ( SV42 @ SV56 ) )
= $true )
| ( ( ~ ! [SY174: b] :
( ~ ~ ( ~ ( member_b @ SY174 @ SV22 )
| ~ ( SV42 @ SY174 ) )
| ( SV50 @ SY174 ) )
| ( SV50
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(606,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| SV43 )
= $false )
| ( ( ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[550]) ).
thf(607,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| SV43 )
| ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[551]) ).
thf(608,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= SV43 )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[551]) ).
thf(609,plain,
! [SV43: $o,SV60: b,SV24: b > $o] :
( ( ( ~ ( SV24 @ SV60 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(610,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $false )
| ( SV43 = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[553]) ).
thf(611,plain,
! [SV24: b > $o,SV43: $o] :
( ( ( ~ SV43 ) = $false )
| ( SV43 = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[553]) ).
thf(612,plain,
! [SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| $true )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(613,plain,
! [SV24: b > $o] :
( ( ( ~ ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| $true )
| ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[555]) ).
thf(614,plain,
! [SV24: b > $o] :
( ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[555]) ).
thf(615,plain,
! [SV61: b,SV24: b > $o] :
( ( ( ~ ( SV24 @ SV61 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(616,plain,
! [SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( $true = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[557]) ).
thf(617,plain,
! [SV24: b > $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[557]) ).
thf(618,plain,
! [SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| $false )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(619,plain,
! [SV24: b > $o] :
( ( ( ~ ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| $false )
| ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[559]) ).
thf(620,plain,
! [SV24: b > $o] :
( ( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[559]) ).
thf(621,plain,
! [SV62: b,SV24: b > $o] :
( ( ( ~ ( SV24 @ SV62 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(622,plain,
! [SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( $false = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[561]) ).
thf(623,plain,
! [SV24: b > $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[561]) ).
thf(624,plain,
! [SV4: b,SV26: b,SV44: b > $o] :
( ( ( ( hilbert_Eps_b @ SV44 )
= SV26 )
= $true )
| ( ( ( hilbert_Eps_b @ SV44 )
= SV26 )
= $false )
| ( ( SV4 = SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(625,plain,
! [SV26: b,SV4: b,SV44: b > $o] :
( ( ( ( hilbert_Eps_b @ SV44 )
= SV4 )
= $true )
| ( ( ( hilbert_Eps_b @ SV44 )
= SV26 )
= $false )
| ( ( SV4 = SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[564]) ).
thf(626,plain,
! [SV4: b,SV26: b,SV44: b > $o] :
( ( ( ( hilbert_Eps_b @ SV44 )
= SV26 )
= $true )
| ( ( ( hilbert_Eps_b @ SV44 )
= SV4 )
= $false )
| ( ( SV4 = SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(627,plain,
! [SV26: b,SV4: b,SV44: b > $o] :
( ( ( ( hilbert_Eps_b @ SV44 )
= SV4 )
= $true )
| ( ( ( hilbert_Eps_b @ SV44 )
= SV4 )
= $false )
| ( ( SV4 = SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(628,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= ( SV29 @ SV7 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[567]) ).
thf(629,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( ~ ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $true )
| ( ( ~ ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $true )
| ( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= ( SV29 @ SV7 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(630,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ! [SY170: b] : ( SV47 @ SY170 )
| ( SV29 @ SV7 ) )
= $false )
| ( ( ~ ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) ) )
= $true )
| ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(631,plain,
! [SV30: b > $o,SV52: b,SV8: b > $o] :
( ( ( SV8 @ ( sK10_SY147 @ SV52 @ SV30 @ SV8 ) )
= $true )
| ( ( SV30 @ ( hilbert_Eps_b @ SV8 ) )
= $true )
| ( ( SV8 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[570]) ).
thf(632,plain,
! [SV55: b,SV13: b > $o] :
( ( ( ! [SY108: b] :
~ ( SV13 @ SY108 ) )
= $false )
| ( ( SV13 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(633,plain,
! [SV58: b,SV14: b,SV35: b > $o] :
( ( ( ~ ~ ! [SY151: b] :
~ ( SV35 @ SY151 )
| ~ ( SV35 @ SV14 ) )
= $false )
| ( ( SV35 @ SV58 )
= $false )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(634,plain,
! [SV14: b,SV35: b > $o] :
( ( ( ! [SY151: b] :
~ ( SV35 @ SY151 ) )
= $false )
| ( ( SV35 @ SV14 )
= $false )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(635,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= $false )
| ( ( ~ ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 ) )
= $true )
| ( SV36 = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[579]) ).
thf(636,plain,
! [SV15: b > $o,SV36: $o] :
( ( SV36 = $false )
| ( ( ~ ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 ) )
= $true )
| ( SV36 = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[579]) ).
thf(637,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ( ! [SY113: b] : ( SV15 @ SY113 )
| SV36 ) )
= $true )
| ( ( ~ ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 ) )
= $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $false )
| ( SV36 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(638,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ! [SY113: b] : ( SV15 @ SY113 ) )
= $false )
| ( ( SV15 @ ( sK12_SY113 @ SV36 @ SV15 ) )
= $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(639,plain,
! [SV15: b > $o,SV36: $o] :
( ( ( ~ SV36 ) = $false )
| ( ( SV15 @ ( sK12_SY113 @ SV36 @ SV15 ) )
= $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(640,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= $true )
| ( SV36 = $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[583]) ).
thf(641,plain,
! [SV15: b > $o,SV36: $o] :
( ( SV36 = $true )
| ( SV36 = $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[584]) ).
thf(642,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true ) )
= $true )
| ( $true = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[585]) ).
thf(643,plain,
! [SV15: b > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true ) )
= $true )
| ( $true = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[585]) ).
thf(644,plain,
! [SV15: b > $o] :
( ( ( ~ ( ! [SX0: b] : ( SV15 @ SX0 )
| $true ) )
= $true )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true ) )
= $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_pos,[status(thm)],[586]) ).
thf(645,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
| ( ( SV15 @ ( sK13_SX0 @ SV15 ) )
= $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[588]) ).
thf(646,plain,
! [SV15: b > $o] :
( ( ( ~ $true ) = $false )
| ( ( SV15 @ ( sK13_SX0 @ SV15 ) )
= $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[588]) ).
thf(647,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
| ( $true = $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[589]) ).
thf(648,plain,
! [SV15: b > $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[590]) ).
thf(649,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false ) )
= $true )
| ( $false = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[591]) ).
thf(650,plain,
! [SV15: b > $o] :
( ( $false = $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false ) )
= $true )
| ( $false = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[591]) ).
thf(651,plain,
! [SV15: b > $o] :
( ( ( ~ ( ! [SX0: b] : ( SV15 @ SX0 )
| $false ) )
= $true )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false ) )
= $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_pos,[status(thm)],[592]) ).
thf(652,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
| ( ( SV15 @ ( sK14_SX0 @ SV15 ) )
= $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[594]) ).
thf(653,plain,
! [SV15: b > $o] :
( ( ( ~ $false ) = $false )
| ( ( SV15 @ ( sK14_SX0 @ SV15 ) )
= $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[594]) ).
thf(654,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
| ( $false = $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[595]) ).
thf(655,plain,
! [SV15: b > $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[596]) ).
thf(656,plain,
! [SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= ( SV39 @ SV18 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(657,plain,
! [SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( ~ ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $true )
| ( ( ~ ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $true )
| ( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= ( SV39 @ SV18 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[598]) ).
thf(658,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ( SV39 @ SV18 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(659,plain,
! [SV20: b,SV40: b > $o] :
( ( ( ! [SY159: b] : ( SV40 @ SY159 ) )
= $true )
| ( ( SV40 @ ( sK9_SY159 @ SV20 @ SV40 ) )
= $false )
| ( ( SV20
= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(660,plain,
! [SV20: b,SV40: b > $o] :
( ( ( SV40 @ SV20 )
= $true )
| ( ( SV40 @ ( sK9_SY159 @ SV20 @ SV40 ) )
= $false )
| ( ( SV20
= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[601]) ).
thf(661,plain,
! [SV20: b,SV63: b,SV40: b > $o] :
( ( ( SV40 @ SV63 )
= $true )
| ( ( SV40 @ SV20 )
= $false )
| ( ( SV20
= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(662,plain,
! [SV54: b,SV41: b,SV21: b > $o] :
( ( ( ~ ( SV21 @ ( sK15_SY176 @ SV41 @ SV54 @ SV21 ) )
| ( ( sK15_SY176 @ SV41 @ SV54 @ SV21 )
= SV54 ) )
= $false )
| ( ( SV21 @ SV54 )
= $false )
| ( ( ~ ( SV21 @ SV41 )
| ( ( hilbert_Eps_b @ SV21 )
= SV41 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[604]) ).
thf(663,plain,
! [SV50: b > $o,SV22: set_b,SV56: b,SV42: b > $o] :
( ( ( SV42 @ SV56 )
= $false )
| ( ( member_b @ SV56 @ SV22 )
= $false )
| ( ( ~ ! [SY174: b] :
( ~ ~ ( ~ ( member_b @ SY174 @ SV22 )
| ~ ( SV42 @ SY174 ) )
| ( SV50 @ SY174 ) )
| ( SV50
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(664,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[606]) ).
thf(665,plain,
! [SV24: b > $o,SV43: $o] :
( ( SV43 = $false )
| ( ( ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[606]) ).
thf(666,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| SV43 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[607]) ).
thf(667,plain,
! [SV43: $o,SV60: b,SV24: b > $o] :
( ( ( SV24 @ SV60 )
= $false )
| ( ( ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(668,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $true )
| ( SV43 = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[610]) ).
thf(669,plain,
! [SV24: b > $o,SV43: $o] :
( ( SV43 = $true )
| ( SV43 = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[611]) ).
thf(670,plain,
! [SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[612]) ).
thf(671,plain,
! [SV24: b > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[612]) ).
thf(672,plain,
! [SV24: b > $o] :
( ( ( ~ ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| $true ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_pos,[status(thm)],[613]) ).
thf(673,plain,
! [SV61: b,SV24: b > $o] :
( ( ( SV24 @ SV61 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(674,plain,
! [SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
| ( $true = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[616]) ).
thf(675,plain,
! [SV24: b > $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[617]) ).
thf(676,plain,
! [SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[618]) ).
thf(677,plain,
! [SV24: b > $o] :
( ( $false = $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[618]) ).
thf(678,plain,
! [SV24: b > $o] :
( ( ( ~ ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_pos,[status(thm)],[619]) ).
thf(679,plain,
! [SV62: b,SV24: b > $o] :
( ( ( SV24 @ SV62 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(680,plain,
! [SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
| ( $false = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[622]) ).
thf(681,plain,
! [SV24: b > $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[623]) ).
thf(682,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ~ ( ! [SY170: b] : ( SV47 @ SY170 )
| ( SV29 @ SV7 ) )
| ~ ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) ) )
= $true )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[628]) ).
thf(683,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= ( SV29 @ SV7 ) )
= $true )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[628]) ).
thf(684,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( ~ ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $true )
| ( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= ( SV29 @ SV7 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[629]) ).
thf(685,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= $false )
| ( ( ~ ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) ) )
= $true )
| ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[630]) ).
thf(686,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( SV29 @ SV7 )
= $false )
| ( ( ~ ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) ) )
= $true )
| ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[630]) ).
thf(687,plain,
! [SV55: b,SV13: b > $o] :
( ( ( ~ ( SV13 @ ( sK16_SY108 @ SV55 @ SV13 ) ) )
= $false )
| ( ( SV13 @ SV55 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[632]) ).
thf(688,plain,
! [SV14: b,SV58: b,SV35: b > $o] :
( ( ( ~ ~ ! [SY151: b] :
~ ( SV35 @ SY151 ) )
= $false )
| ( ( SV35 @ SV58 )
= $false )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[633]) ).
thf(689,plain,
! [SV58: b,SV14: b,SV35: b > $o] :
( ( ( ~ ( SV35 @ SV14 ) )
= $false )
| ( ( SV35 @ SV58 )
= $false )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[633]) ).
thf(690,plain,
! [SV14: b,SV35: b > $o] :
( ( ( ~ ( SV35 @ ( sK17_SY151 @ SV14 @ SV35 ) ) )
= $false )
| ( ( SV35 @ SV14 )
= $false )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[634]) ).
thf(691,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( SV15 @ ( sK18_SY113 @ SV36 @ SV15 ) )
= $false )
| ( ( ~ ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 ) )
= $true )
| ( SV36 = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[635]) ).
thf(692,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 )
= $false )
| ( SV36 = $false )
| ( SV36 = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(693,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ! [SY113: b] : ( SV15 @ SY113 )
| SV36 )
= $false )
| ( ( ~ ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 ) )
= $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $false )
| ( SV36 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(694,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= $true )
| ( ( SV15 @ ( sK12_SY113 @ SV36 @ SV15 ) )
= $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[638]) ).
thf(695,plain,
! [SV15: b > $o,SV36: $o] :
( ( SV36 = $true )
| ( ( SV15 @ ( sK12_SY113 @ SV36 @ SV15 ) )
= $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[639]) ).
thf(696,plain,
! [SV36: $o,SV64: b,SV15: b > $o] :
( ( ( SV15 @ SV64 )
= $true )
| ( SV36 = $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(697,plain,
! [SV15: b > $o] :
( ( ( SV15 @ ( sK19_SX0 @ SV15 ) )
= $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true ) )
= $true )
| ( $true = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[642]) ).
thf(698,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true )
= $false )
| ( $true = $false )
| ( $true = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(699,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 )
| $true )
= $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true ) )
= $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(700,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
| ( ( SV15 @ ( sK13_SX0 @ SV15 ) )
= $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[645]) ).
thf(701,plain,
! [SV15: b > $o] :
( ( $true = $true )
| ( ( SV15 @ ( sK13_SX0 @ SV15 ) )
= $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[646]) ).
thf(702,plain,
! [SV65: b,SV15: b > $o] :
( ( ( SV15 @ SV65 )
= $true )
| ( $true = $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(703,plain,
! [SV15: b > $o] :
( ( ( SV15 @ ( sK20_SX0 @ SV15 ) )
= $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false ) )
= $true )
| ( $false = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[649]) ).
thf(704,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(705,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 )
| $false )
= $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false ) )
= $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(706,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
| ( ( SV15 @ ( sK14_SX0 @ SV15 ) )
= $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[652]) ).
thf(707,plain,
! [SV15: b > $o] :
( ( $false = $true )
| ( ( SV15 @ ( sK14_SX0 @ SV15 ) )
= $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[653]) ).
thf(708,plain,
! [SV66: b,SV15: b > $o] :
( ( ( SV15 @ SV66 )
= $true )
| ( $false = $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(709,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ( SV39 @ SV18 ) )
| ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[656]) ).
thf(710,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= ( SV39 @ SV18 ) )
= $true )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[656]) ).
thf(711,plain,
! [SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( ~ ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $true )
| ( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= ( SV39 @ SV18 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(712,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(713,plain,
! [SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( SV39 @ SV18 )
= $false )
| ( ( ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(714,plain,
! [SV20: b,SV67: b,SV40: b > $o] :
( ( ( SV40 @ SV67 )
= $true )
| ( ( SV40 @ ( sK9_SY159 @ SV20 @ SV40 ) )
= $false )
| ( ( SV20
= ( hilbert_Eps_b
@ ^ [SY158: b] :
~ ( SV40 @ SY158 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(715,plain,
! [SV54: b,SV41: b,SV21: b > $o] :
( ( ( ~ ( SV21 @ ( sK15_SY176 @ SV41 @ SV54 @ SV21 ) ) )
= $false )
| ( ( SV21 @ SV54 )
= $false )
| ( ( ~ ( SV21 @ SV41 )
| ( ( hilbert_Eps_b @ SV21 )
= SV41 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(716,plain,
! [SV21: b > $o,SV54: b,SV41: b] :
( ( ( ( sK15_SY176 @ SV41 @ SV54 @ SV21 )
= SV54 )
= $false )
| ( ( SV21 @ SV54 )
= $false )
| ( ( ~ ( SV21 @ SV41 )
| ( ( hilbert_Eps_b @ SV21 )
= SV41 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(717,plain,
! [SV56: b,SV50: b > $o,SV42: b > $o,SV22: set_b] :
( ( ( ~ ! [SY174: b] :
( ~ ~ ( ~ ( member_b @ SY174 @ SV22 )
| ~ ( SV42 @ SY174 ) )
| ( SV50 @ SY174 ) ) )
= $true )
| ( ( SV50
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV22 )
= $false )
| ( ( SV42 @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[663]) ).
thf(718,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[664]) ).
thf(719,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 )
= $false )
| ( SV43 = $false )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(720,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| SV43 )
= $false )
| ( ( ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(721,plain,
! [SV60: b,SV43: $o,SV24: b > $o] :
( ( ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 )
= $false )
| ( ( SV24 @ SV60 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(722,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $false )
| ( SV43 = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(723,plain,
! [SV24: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[670]) ).
thf(724,plain,
! [SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true )
= $false )
| ( $true = $false )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(725,plain,
! [SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| $true )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[672]) ).
thf(726,plain,
! [SV61: b,SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true )
= $false )
| ( ( SV24 @ SV61 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(727,plain,
! [SV24: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( $true = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[674]) ).
thf(728,plain,
! [SV24: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[676]) ).
thf(729,plain,
! [SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[677]) ).
thf(730,plain,
! [SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| $false )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[678]) ).
thf(731,plain,
! [SV62: b,SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false )
= $false )
| ( ( SV24 @ SV62 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[679]) ).
thf(732,plain,
! [SV24: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( $false = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(733,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ~ ( ! [SY170: b] : ( SV47 @ SY170 )
| ( SV29 @ SV7 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) ) )
= $true )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(734,plain,
! [SV29: b > $o,SV7: b,SV47: b > $o] :
( ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= ( SV29 @ SV7 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(735,plain,
! [SV29: b > $o,SV7: b,SV47: b > $o] :
( ( ( SV47 @ ( sK21_SY170 @ SV7 @ SV29 @ SV47 ) )
= $false )
| ( ( ~ ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) ) )
= $true )
| ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[685]) ).
thf(736,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) )
= $false )
| ( ( SV29 @ SV7 )
= $false )
| ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(737,plain,
! [SV55: b,SV13: b > $o] :
( ( ( SV13 @ ( sK16_SY108 @ SV55 @ SV13 ) )
= $true )
| ( ( SV13 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[687]) ).
thf(738,plain,
! [SV14: b,SV58: b,SV35: b > $o] :
( ( ( ~ ! [SY151: b] :
~ ( SV35 @ SY151 ) )
= $true )
| ( ( SV35 @ SV58 )
= $false )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[688]) ).
thf(739,plain,
! [SV58: b,SV14: b,SV35: b > $o] :
( ( ( SV35 @ SV14 )
= $true )
| ( ( SV35 @ SV58 )
= $false )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[689]) ).
thf(740,plain,
! [SV14: b,SV35: b > $o] :
( ( ( SV35 @ ( sK17_SY151 @ SV14 @ SV35 ) )
= $true )
| ( ( SV35 @ SV14 )
= $false )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[690]) ).
thf(741,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 )
= $false )
| ( ( SV15 @ ( sK18_SY113 @ SV36 @ SV15 ) )
= $false )
| ( SV36 = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(742,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ! [SY113: b] : ( SV15 @ SY113 ) )
= $false )
| ( SV36 = $false )
| ( SV36 = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[692]) ).
thf(743,plain,
! [SV15: b > $o,SV36: $o] :
( ( ( ~ SV36 ) = $false )
| ( SV36 = $false )
| ( SV36 = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[692]) ).
thf(744,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= $false )
| ( ( ~ ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 ) )
= $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $false )
| ( SV36 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[693]) ).
thf(745,plain,
! [SV15: b > $o,SV36: $o] :
( ( SV36 = $false )
| ( ( ~ ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 ) )
= $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $false )
| ( SV36 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[693]) ).
thf(746,plain,
! [SV36: $o,SV68: b,SV15: b > $o] :
( ( ( SV15 @ SV68 )
= $true )
| ( ( SV15 @ ( sK12_SY113 @ SV36 @ SV15 ) )
= $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(747,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true )
= $false )
| ( ( SV15 @ ( sK19_SX0 @ SV15 ) )
= $false )
| ( $true = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(748,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
| ( $true = $false )
| ( $true = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[698]) ).
thf(749,plain,
! [SV15: b > $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[698]) ).
thf(750,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true ) )
= $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[699]) ).
thf(751,plain,
! [SV15: b > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true ) )
= $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[699]) ).
thf(752,plain,
! [SV69: b,SV15: b > $o] :
( ( ( SV15 @ SV69 )
= $true )
| ( ( SV15 @ ( sK13_SX0 @ SV15 ) )
= $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(753,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false )
= $false )
| ( ( SV15 @ ( sK20_SX0 @ SV15 ) )
= $false )
| ( $false = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[703]) ).
thf(754,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
| ( $false = $false )
| ( $false = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[704]) ).
thf(755,plain,
! [SV15: b > $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[704]) ).
thf(756,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false ) )
= $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[705]) ).
thf(757,plain,
! [SV15: b > $o] :
( ( $false = $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false ) )
= $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[705]) ).
thf(758,plain,
! [SV70: b,SV15: b > $o] :
( ( ( SV15 @ SV70 )
= $true )
| ( ( SV15 @ ( sK14_SX0 @ SV15 ) )
= $false )
| ( ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(759,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ( SV39 @ SV18 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[709]) ).
thf(760,plain,
! [SV39: b > $o,SV18: b,SV49: b > $o] :
( ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= ( SV39 @ SV18 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(761,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[712]) ).
thf(762,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) )
= $false )
| ( ( SV39 @ SV18 )
= $false )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(763,plain,
! [SV54: b,SV41: b,SV21: b > $o] :
( ( ( SV21 @ ( sK15_SY176 @ SV41 @ SV54 @ SV21 ) )
= $true )
| ( ( SV21 @ SV54 )
= $false )
| ( ( ~ ( SV21 @ SV41 )
| ( ( hilbert_Eps_b @ SV21 )
= SV41 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[715]) ).
thf(764,plain,
! [SV54: b,SV41: b,SV21: b > $o] :
( ( ( ~ ( SV21 @ SV41 ) )
= $true )
| ( ( ( hilbert_Eps_b @ SV21 )
= SV41 )
= $true )
| ( ( SV21 @ SV54 )
= $false )
| ( ( ( sK15_SY176 @ SV41 @ SV54 @ SV21 )
= SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[716]) ).
thf(765,plain,
! [SV56: b,SV50: b > $o,SV42: b > $o,SV22: set_b] :
( ( ( ! [SY174: b] :
( ~ ~ ( ~ ( member_b @ SY174 @ SV22 )
| ~ ( SV42 @ SY174 ) )
| ( SV50 @ SY174 ) ) )
= $false )
| ( ( SV50
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV22 )
= $false )
| ( ( SV42 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(766,plain,
! [SV43: $o,SV71: b,SV24: b > $o] :
( ( ( ~ ( SV24 @ SV71 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[718]) ).
thf(767,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $false )
| ( SV43 = $false )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(768,plain,
! [SV24: b > $o,SV43: $o] :
( ( ( ~ SV43 ) = $false )
| ( SV43 = $false )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(769,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[720]) ).
thf(770,plain,
! [SV24: b > $o,SV43: $o] :
( ( SV43 = $false )
| ( ( ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[720]) ).
thf(771,plain,
! [SV43: $o,SV60: b,SV24: b > $o] :
( ( ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $false )
| ( ( SV24 @ SV60 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[721]) ).
thf(772,plain,
! [SV60: b,SV24: b > $o,SV43: $o] :
( ( ( ~ SV43 ) = $false )
| ( ( SV24 @ SV60 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[721]) ).
thf(773,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ( SV24 @ ( sK22_SY135 @ SV43 @ SV24 ) ) )
= $false )
| ( SV43 = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[722]) ).
thf(774,plain,
! [SV72: b,SV24: b > $o] :
( ( ( ~ ( SV24 @ SV72 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(775,plain,
! [SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( $true = $false )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[724]) ).
thf(776,plain,
! [SV24: b > $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[724]) ).
thf(777,plain,
! [SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[725]) ).
thf(778,plain,
! [SV24: b > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[725]) ).
thf(779,plain,
! [SV61: b,SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( ( SV24 @ SV61 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[726]) ).
thf(780,plain,
! [SV61: b,SV24: b > $o] :
( ( ( ~ $true ) = $false )
| ( ( SV24 @ SV61 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[726]) ).
thf(781,plain,
! [SV24: b > $o] :
( ( ( ~ ( SV24 @ ( sK23_SX0 @ SV24 ) ) )
= $false )
| ( $true = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[727]) ).
thf(782,plain,
! [SV73: b,SV24: b > $o] :
( ( ( ~ ( SV24 @ SV73 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(783,plain,
! [SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( $false = $false )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[729]) ).
thf(784,plain,
! [SV24: b > $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[729]) ).
thf(785,plain,
! [SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[730]) ).
thf(786,plain,
! [SV24: b > $o] :
( ( $false = $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[730]) ).
thf(787,plain,
! [SV62: b,SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( ( SV24 @ SV62 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[731]) ).
thf(788,plain,
! [SV62: b,SV24: b > $o] :
( ( ( ~ $false ) = $false )
| ( ( SV24 @ SV62 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[731]) ).
thf(789,plain,
! [SV24: b > $o] :
( ( ( ~ ( SV24 @ ( sK24_SX0 @ SV24 ) ) )
= $false )
| ( $false = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[732]) ).
thf(790,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ! [SY170: b] : ( SV47 @ SY170 )
| ( SV29 @ SV7 ) )
= $false )
| ( ( ~ ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) ) )
= $true )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(791,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ~ ( ! [SY170: b] : ( SV47 @ SY170 )
| ( SV29 @ SV7 ) )
| ~ ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[734]) ).
thf(792,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= ( SV29 @ SV7 ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[734]) ).
thf(793,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) )
= $false )
| ( ( SV47 @ ( sK21_SY170 @ SV7 @ SV29 @ SV47 ) )
= $false )
| ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(794,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ~ ! [SY170: b] : ( SV47 @ SY170 ) )
= $false )
| ( ( SV29 @ SV7 )
= $false )
| ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[736]) ).
thf(795,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( ~ ( SV29 @ SV7 ) )
= $false )
| ( ( SV29 @ SV7 )
= $false )
| ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[736]) ).
thf(796,plain,
! [SV14: b,SV58: b,SV35: b > $o] :
( ( ( ! [SY151: b] :
~ ( SV35 @ SY151 ) )
= $false )
| ( ( SV35 @ SV58 )
= $false )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(797,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ! [SY113: b] : ( SV15 @ SY113 ) )
= $false )
| ( ( SV15 @ ( sK18_SY113 @ SV36 @ SV15 ) )
= $false )
| ( SV36 = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[741]) ).
thf(798,plain,
! [SV15: b > $o,SV36: $o] :
( ( ( ~ SV36 ) = $false )
| ( ( SV15 @ ( sK18_SY113 @ SV36 @ SV15 ) )
= $false )
| ( SV36 = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[741]) ).
thf(799,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= $true )
| ( SV36 = $false )
| ( SV36 = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[742]) ).
thf(800,plain,
! [SV15: b > $o,SV36: $o] :
( ( SV36 = $true )
| ( SV36 = $false )
| ( SV36 = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[743]) ).
thf(801,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( SV15 @ ( sK25_SY113 @ SV36 @ SV15 ) )
= $false )
| ( ( ~ ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 ) )
= $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $false )
| ( SV36 = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[744]) ).
thf(802,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 )
= $false )
| ( SV36 = $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $false )
| ( SV36 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(803,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
| ( ( SV15 @ ( sK19_SX0 @ SV15 ) )
= $false )
| ( $true = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[747]) ).
thf(804,plain,
! [SV15: b > $o] :
( ( ( ~ $true ) = $false )
| ( ( SV15 @ ( sK19_SX0 @ SV15 ) )
= $false )
| ( $true = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[747]) ).
thf(805,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
| ( $true = $false )
| ( $true = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[748]) ).
thf(806,plain,
! [SV15: b > $o] :
( ( $true = $true )
| ( $true = $false )
| ( $true = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[749]) ).
thf(807,plain,
! [SV15: b > $o] :
( ( ( SV15 @ ( sK26_SX0 @ SV15 ) )
= $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true ) )
= $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[750]) ).
thf(808,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(809,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
| ( ( SV15 @ ( sK20_SX0 @ SV15 ) )
= $false )
| ( $false = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[753]) ).
thf(810,plain,
! [SV15: b > $o] :
( ( ( ~ $false ) = $false )
| ( ( SV15 @ ( sK20_SX0 @ SV15 ) )
= $false )
| ( $false = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[753]) ).
thf(811,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
| ( $false = $false )
| ( $false = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[754]) ).
thf(812,plain,
! [SV15: b > $o] :
( ( $false = $true )
| ( $false = $false )
| ( $false = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[755]) ).
thf(813,plain,
! [SV15: b > $o] :
( ( ( SV15 @ ( sK27_SX0 @ SV15 ) )
= $false )
| ( ( ~ ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false ) )
= $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[756]) ).
thf(814,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(815,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ( SV39 @ SV18 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(816,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ( SV39 @ SV18 ) )
| ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[760]) ).
thf(817,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= ( SV39 @ SV18 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[760]) ).
thf(818,plain,
! [SV18: b,SV39: b > $o,SV74: b,SV49: b > $o] :
( ( ( ~ ( SV49 @ SV74 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[761]) ).
thf(819,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $false )
| ( ( SV39 @ SV18 )
= $false )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[762]) ).
thf(820,plain,
! [SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( ~ ( SV39 @ SV18 ) )
= $false )
| ( ( SV39 @ SV18 )
= $false )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[762]) ).
thf(821,plain,
! [SV54: b,SV41: b,SV21: b > $o] :
( ( ( ~ ( SV21 @ SV41 ) )
= $true )
| ( ( ( hilbert_Eps_b @ SV21 )
= SV41 )
= $true )
| ( ( SV21 @ SV54 )
= $false )
| ( ( SV21 @ ( sK15_SY176 @ SV41 @ SV54 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[763]) ).
thf(822,plain,
! [SV54: b,SV41: b,SV21: b > $o] :
( ( ( SV21 @ SV41 )
= $false )
| ( ( ( hilbert_Eps_b @ SV21 )
= SV41 )
= $true )
| ( ( SV21 @ SV54 )
= $false )
| ( ( ( sK15_SY176 @ SV41 @ SV54 @ SV21 )
= SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(823,plain,
! [SV22: set_b,SV42: b > $o,SV50: b > $o,SV56: b] :
( ( ( ~ ~ ( ~ ( member_b @ ( sK28_SY174 @ SV56 @ SV50 @ SV42 @ SV22 ) @ SV22 )
| ~ ( SV42 @ ( sK28_SY174 @ SV56 @ SV50 @ SV42 @ SV22 ) ) )
| ( SV50 @ ( sK28_SY174 @ SV56 @ SV50 @ SV42 @ SV22 ) ) )
= $false )
| ( ( SV50
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV22 )
= $false )
| ( ( SV42 @ SV56 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[765]) ).
thf(824,plain,
! [SV43: $o,SV71: b,SV24: b > $o] :
( ( ( SV24 @ SV71 )
= $false )
| ( ( ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(825,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $true )
| ( SV43 = $false )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[767]) ).
thf(826,plain,
! [SV24: b > $o,SV43: $o] :
( ( SV43 = $true )
| ( SV43 = $false )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[768]) ).
thf(827,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[769]) ).
thf(828,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 )
= $false )
| ( SV43 = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(829,plain,
! [SV43: $o,SV60: b,SV24: b > $o] :
( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $true )
| ( ( SV24 @ SV60 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[771]) ).
thf(830,plain,
! [SV60: b,SV24: b > $o,SV43: $o] :
( ( SV43 = $true )
| ( ( SV24 @ SV60 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[772]) ).
thf(831,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( SV24 @ ( sK22_SY135 @ SV43 @ SV24 ) )
= $true )
| ( SV43 = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[773]) ).
thf(832,plain,
! [SV72: b,SV24: b > $o] :
( ( ( SV24 @ SV72 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[774]) ).
thf(833,plain,
! [SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
| ( $true = $false )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[775]) ).
thf(834,plain,
! [SV24: b > $o] :
( ( $true = $true )
| ( $true = $false )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[776]) ).
thf(835,plain,
! [SV24: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[777]) ).
thf(836,plain,
! [SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(837,plain,
! [SV61: b,SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
| ( ( SV24 @ SV61 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[779]) ).
thf(838,plain,
! [SV61: b,SV24: b > $o] :
( ( $true = $true )
| ( ( SV24 @ SV61 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[780]) ).
thf(839,plain,
! [SV24: b > $o] :
( ( ( SV24 @ ( sK23_SX0 @ SV24 ) )
= $true )
| ( $true = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[781]) ).
thf(840,plain,
! [SV73: b,SV24: b > $o] :
( ( ( SV24 @ SV73 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(841,plain,
! [SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
| ( $false = $false )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[783]) ).
thf(842,plain,
! [SV24: b > $o] :
( ( $false = $true )
| ( $false = $false )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[784]) ).
thf(843,plain,
! [SV24: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(844,plain,
! [SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(845,plain,
! [SV62: b,SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
| ( ( SV24 @ SV62 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[787]) ).
thf(846,plain,
! [SV62: b,SV24: b > $o] :
( ( $false = $true )
| ( ( SV24 @ SV62 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[788]) ).
thf(847,plain,
! [SV24: b > $o] :
( ( ( SV24 @ ( sK24_SX0 @ SV24 ) )
= $true )
| ( $false = $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[789]) ).
thf(848,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= $false )
| ( ( ~ ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) ) )
= $true )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[790]) ).
thf(849,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( SV29 @ SV7 )
= $false )
| ( ( ~ ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) ) )
= $true )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[790]) ).
thf(850,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ~ ( ! [SY170: b] : ( SV47 @ SY170 )
| ( SV29 @ SV7 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[791]) ).
thf(851,plain,
! [SV29: b > $o,SV7: b,SV47: b > $o] :
( ( ( ~ ! [SY170: b] : ( SV47 @ SY170 ) )
= $false )
| ( ( SV47 @ ( sK21_SY170 @ SV7 @ SV29 @ SV47 ) )
= $false )
| ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[793]) ).
thf(852,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( ~ ( SV29 @ SV7 ) )
= $false )
| ( ( SV47 @ ( sK21_SY170 @ SV7 @ SV29 @ SV47 ) )
= $false )
| ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[793]) ).
thf(853,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= $true )
| ( ( SV29 @ SV7 )
= $false )
| ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[794]) ).
thf(854,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( SV29 @ SV7 )
= $true )
| ( ( SV29 @ SV7 )
= $false )
| ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[795]) ).
thf(855,plain,
! [SV58: b,SV14: b,SV35: b > $o] :
( ( ( ~ ( SV35 @ ( sK29_SY151 @ SV14 @ SV58 @ SV35 ) ) )
= $false )
| ( ( SV35 @ SV58 )
= $false )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[796]) ).
thf(856,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= $true )
| ( ( SV15 @ ( sK18_SY113 @ SV36 @ SV15 ) )
= $false )
| ( SV36 = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[797]) ).
thf(857,plain,
! [SV15: b > $o,SV36: $o] :
( ( SV36 = $true )
| ( ( SV15 @ ( sK18_SY113 @ SV36 @ SV15 ) )
= $false )
| ( SV36 = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[798]) ).
thf(858,plain,
! [SV36: $o,SV75: b,SV15: b > $o] :
( ( ( SV15 @ SV75 )
= $true )
| ( SV36 = $false )
| ( SV36 = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[799]) ).
thf(859,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ! [SY113: b] : ( SV15 @ SY113 )
| ~ SV36 )
= $false )
| ( ( SV15 @ ( sK25_SY113 @ SV36 @ SV15 ) )
= $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $false )
| ( SV36 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(860,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ! [SY113: b] : ( SV15 @ SY113 ) )
= $false )
| ( SV36 = $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $false )
| ( SV36 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[802]) ).
thf(861,plain,
! [SV15: b > $o,SV36: $o] :
( ( ( ~ SV36 ) = $false )
| ( SV36 = $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $false )
| ( SV36 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[802]) ).
thf(862,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
| ( ( SV15 @ ( sK19_SX0 @ SV15 ) )
= $false )
| ( $true = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[803]) ).
thf(863,plain,
! [SV15: b > $o] :
( ( $true = $true )
| ( ( SV15 @ ( sK19_SX0 @ SV15 ) )
= $false )
| ( $true = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[804]) ).
thf(864,plain,
! [SV76: b,SV15: b > $o] :
( ( ( SV15 @ SV76 )
= $true )
| ( $true = $false )
| ( $true = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[805]) ).
thf(865,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $true )
= $false )
| ( ( SV15 @ ( sK26_SX0 @ SV15 ) )
= $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[807]) ).
thf(866,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
| ( $true = $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[808]) ).
thf(867,plain,
! [SV15: b > $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[808]) ).
thf(868,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
| ( ( SV15 @ ( sK20_SX0 @ SV15 ) )
= $false )
| ( $false = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[809]) ).
thf(869,plain,
! [SV15: b > $o] :
( ( $false = $true )
| ( ( SV15 @ ( sK20_SX0 @ SV15 ) )
= $false )
| ( $false = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[810]) ).
thf(870,plain,
! [SV77: b,SV15: b > $o] :
( ( ( SV15 @ SV77 )
= $true )
| ( $false = $false )
| ( $false = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[811]) ).
thf(871,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 )
| ~ $false )
= $false )
| ( ( SV15 @ ( sK27_SX0 @ SV15 ) )
= $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[813]) ).
thf(872,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
| ( $false = $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[814]) ).
thf(873,plain,
! [SV15: b > $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[814]) ).
thf(874,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[815]) ).
thf(875,plain,
! [SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( SV39 @ SV18 )
= $false )
| ( ( ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[815]) ).
thf(876,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ( SV39 @ SV18 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[816]) ).
thf(877,plain,
! [SV18: b,SV39: b > $o,SV74: b,SV49: b > $o] :
( ( ( SV49 @ SV74 )
= $false )
| ( ( ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(878,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $true )
| ( ( SV39 @ SV18 )
= $false )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[819]) ).
thf(879,plain,
! [SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( SV39 @ SV18 )
= $true )
| ( ( SV39 @ SV18 )
= $false )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[820]) ).
thf(880,plain,
! [SV54: b,SV41: b,SV21: b > $o] :
( ( ( SV21 @ SV41 )
= $false )
| ( ( ( hilbert_Eps_b @ SV21 )
= SV41 )
= $true )
| ( ( SV21 @ SV54 )
= $false )
| ( ( SV21 @ ( sK15_SY176 @ SV41 @ SV54 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[821]) ).
thf(881,plain,
! [SV22: set_b,SV42: b > $o,SV50: b > $o,SV56: b] :
( ( ( ~ ~ ( ~ ( member_b @ ( sK28_SY174 @ SV56 @ SV50 @ SV42 @ SV22 ) @ SV22 )
| ~ ( SV42 @ ( sK28_SY174 @ SV56 @ SV50 @ SV42 @ SV22 ) ) ) )
= $false )
| ( ( SV50
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV22 )
= $false )
| ( ( SV42 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[823]) ).
thf(882,plain,
! [SV22: set_b,SV42: b > $o,SV56: b,SV50: b > $o] :
( ( ( SV50 @ ( sK28_SY174 @ SV56 @ SV50 @ SV42 @ SV22 ) )
= $false )
| ( ( SV50
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV22 )
= $false )
| ( ( SV42 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[823]) ).
thf(883,plain,
! [SV71: b,SV43: $o,SV24: b > $o] :
( ( ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 )
= $false )
| ( ( SV24 @ SV71 )
= $false )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(884,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $false )
| ( SV43 = $false )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[825]) ).
thf(885,plain,
! [SV43: $o,SV78: b,SV24: b > $o] :
( ( ( ~ ( SV24 @ SV78 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[827]) ).
thf(886,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $false )
| ( SV43 = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[828]) ).
thf(887,plain,
! [SV24: b > $o,SV43: $o] :
( ( ( ~ SV43 ) = $false )
| ( SV43 = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[828]) ).
thf(888,plain,
! [SV43: $o,SV60: b,SV24: b > $o] :
( ( ( ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $false )
| ( ( SV24 @ SV60 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(889,plain,
! [SV72: b,SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true )
= $false )
| ( ( SV24 @ SV72 )
= $false )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(890,plain,
! [SV24: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( $true = $false )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(891,plain,
! [SV79: b,SV24: b > $o] :
( ( ( ~ ( SV24 @ SV79 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(892,plain,
! [SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( $true = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(893,plain,
! [SV24: b > $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(894,plain,
! [SV61: b,SV24: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( ( SV24 @ SV61 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[837]) ).
thf(895,plain,
! [SV73: b,SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false )
= $false )
| ( ( SV24 @ SV73 )
= $false )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(896,plain,
! [SV24: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( $false = $false )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(897,plain,
! [SV80: b,SV24: b > $o] :
( ( ( ~ ( SV24 @ SV80 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[843]) ).
thf(898,plain,
! [SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( $false = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[844]) ).
thf(899,plain,
! [SV24: b > $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[844]) ).
thf(900,plain,
! [SV62: b,SV24: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( ( SV24 @ SV62 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(901,plain,
! [SV29: b > $o,SV7: b,SV47: b > $o] :
( ( ( SV47 @ ( sK30_SY170 @ SV7 @ SV29 @ SV47 ) )
= $false )
| ( ( ~ ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) ) )
= $true )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[848]) ).
thf(902,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) )
= $false )
| ( ( SV29 @ SV7 )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(903,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ! [SY170: b] : ( SV47 @ SY170 )
| ( SV29 @ SV7 ) )
= $false )
| ( ( ~ ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(904,plain,
! [SV29: b > $o,SV7: b,SV47: b > $o] :
( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= $true )
| ( ( SV47 @ ( sK21_SY170 @ SV7 @ SV29 @ SV47 ) )
= $false )
| ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[851]) ).
thf(905,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( SV29 @ SV7 )
= $true )
| ( ( SV47 @ ( sK21_SY170 @ SV7 @ SV29 @ SV47 ) )
= $false )
| ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[852]) ).
thf(906,plain,
! [SV7: b,SV29: b > $o,SV81: b,SV47: b > $o] :
( ( ( SV47 @ SV81 )
= $true )
| ( ( SV29 @ SV7 )
= $false )
| ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[853]) ).
thf(907,plain,
! [SV58: b,SV14: b,SV35: b > $o] :
( ( ( SV35 @ ( sK29_SY151 @ SV14 @ SV58 @ SV35 ) )
= $true )
| ( ( SV35 @ SV58 )
= $false )
| ( ( SV14
= ( hilbert_Eps_b @ SV35 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[855]) ).
thf(908,plain,
! [SV36: $o,SV82: b,SV15: b > $o] :
( ( ( SV15 @ SV82 )
= $true )
| ( ( SV15 @ ( sK18_SY113 @ SV36 @ SV15 ) )
= $false )
| ( SV36 = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[856]) ).
thf(909,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ~ ! [SY113: b] : ( SV15 @ SY113 ) )
= $false )
| ( ( SV15 @ ( sK25_SY113 @ SV36 @ SV15 ) )
= $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $false )
| ( SV36 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[859]) ).
thf(910,plain,
! [SV15: b > $o,SV36: $o] :
( ( ( ~ SV36 ) = $false )
| ( ( SV15 @ ( sK25_SY113 @ SV36 @ SV15 ) )
= $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $false )
| ( SV36 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[859]) ).
thf(911,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= $true )
| ( SV36 = $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $false )
| ( SV36 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[860]) ).
thf(912,plain,
! [SV15: b > $o,SV36: $o] :
( ( SV36 = $true )
| ( SV36 = $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $false )
| ( SV36 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[861]) ).
thf(913,plain,
! [SV83: b,SV15: b > $o] :
( ( ( SV15 @ SV83 )
= $true )
| ( ( SV15 @ ( sK19_SX0 @ SV15 ) )
= $false )
| ( $true = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[862]) ).
thf(914,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
| ( ( SV15 @ ( sK26_SX0 @ SV15 ) )
= $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[865]) ).
thf(915,plain,
! [SV15: b > $o] :
( ( ( ~ $true ) = $false )
| ( ( SV15 @ ( sK26_SX0 @ SV15 ) )
= $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[865]) ).
thf(916,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
| ( $true = $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[866]) ).
thf(917,plain,
! [SV15: b > $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[867]) ).
thf(918,plain,
! [SV84: b,SV15: b > $o] :
( ( ( SV15 @ SV84 )
= $true )
| ( ( SV15 @ ( sK20_SX0 @ SV15 ) )
= $false )
| ( $false = $true )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[868]) ).
thf(919,plain,
! [SV15: b > $o] :
( ( ( ~ ! [SX0: b] : ( SV15 @ SX0 ) )
= $false )
| ( ( SV15 @ ( sK27_SX0 @ SV15 ) )
= $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[871]) ).
thf(920,plain,
! [SV15: b > $o] :
( ( ( ~ $false ) = $false )
| ( ( SV15 @ ( sK27_SX0 @ SV15 ) )
= $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[871]) ).
thf(921,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
| ( $false = $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[872]) ).
thf(922,plain,
! [SV15: b > $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[873]) ).
thf(923,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[874]) ).
thf(924,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) )
= $false )
| ( ( SV39 @ SV18 )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[875]) ).
thf(925,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ( SV39 @ SV18 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(926,plain,
! [SV74: b,SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) )
= $false )
| ( ( SV49 @ SV74 )
= $false )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(927,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $false )
| ( ( SV39 @ SV18 )
= $false )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(928,plain,
! [SV22: set_b,SV42: b > $o,SV50: b > $o,SV56: b] :
( ( ( ~ ( ~ ( member_b @ ( sK28_SY174 @ SV56 @ SV50 @ SV42 @ SV22 ) @ SV22 )
| ~ ( SV42 @ ( sK28_SY174 @ SV56 @ SV50 @ SV42 @ SV22 ) ) ) )
= $true )
| ( ( SV50
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV22 )
= $false )
| ( ( SV42 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[881]) ).
thf(929,plain,
! [SV43: $o,SV71: b,SV24: b > $o] :
( ( ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $false )
| ( ( SV24 @ SV71 )
= $false )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[883]) ).
thf(930,plain,
! [SV71: b,SV24: b > $o,SV43: $o] :
( ( ( ~ SV43 ) = $false )
| ( ( SV24 @ SV71 )
= $false )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[883]) ).
thf(931,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ( SV24 @ ( sK31_SY135 @ SV43 @ SV24 ) ) )
= $false )
| ( SV43 = $false )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[884]) ).
thf(932,plain,
! [SV43: $o,SV78: b,SV24: b > $o] :
( ( ( SV24 @ SV78 )
= $false )
| ( ( ~ ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(933,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $true )
| ( SV43 = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[886]) ).
thf(934,plain,
! [SV24: b > $o,SV43: $o] :
( ( SV43 = $true )
| ( SV43 = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[887]) ).
thf(935,plain,
! [SV60: b,SV43: $o,SV24: b > $o] :
( ( ( ~ ( SV24 @ ( sK32_SY135 @ SV43 @ SV60 @ SV24 ) ) )
= $false )
| ( ( SV24 @ SV60 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[888]) ).
thf(936,plain,
! [SV72: b,SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( ( SV24 @ SV72 )
= $false )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[889]) ).
thf(937,plain,
! [SV72: b,SV24: b > $o] :
( ( ( ~ $true ) = $false )
| ( ( SV24 @ SV72 )
= $false )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[889]) ).
thf(938,plain,
! [SV24: b > $o] :
( ( ( ~ ( SV24 @ ( sK33_SX0 @ SV24 ) ) )
= $false )
| ( $true = $false )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[890]) ).
thf(939,plain,
! [SV79: b,SV24: b > $o] :
( ( ( SV24 @ SV79 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(940,plain,
! [SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
| ( $true = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[892]) ).
thf(941,plain,
! [SV24: b > $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[893]) ).
thf(942,plain,
! [SV61: b,SV24: b > $o] :
( ( ( ~ ( SV24 @ ( sK34_SX0 @ SV61 @ SV24 ) ) )
= $false )
| ( ( SV24 @ SV61 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[894]) ).
thf(943,plain,
! [SV73: b,SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( ( SV24 @ SV73 )
= $false )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[895]) ).
thf(944,plain,
! [SV73: b,SV24: b > $o] :
( ( ( ~ $false ) = $false )
| ( ( SV24 @ SV73 )
= $false )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[895]) ).
thf(945,plain,
! [SV24: b > $o] :
( ( ( ~ ( SV24 @ ( sK35_SX0 @ SV24 ) ) )
= $false )
| ( $false = $false )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[896]) ).
thf(946,plain,
! [SV80: b,SV24: b > $o] :
( ( ( SV24 @ SV80 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false ) )
= $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(947,plain,
! [SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
| ( $false = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[898]) ).
thf(948,plain,
! [SV24: b > $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[899]) ).
thf(949,plain,
! [SV62: b,SV24: b > $o] :
( ( ( ~ ( SV24 @ ( sK36_SX0 @ SV62 @ SV24 ) ) )
= $false )
| ( ( SV24 @ SV62 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[900]) ).
thf(950,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) )
= $false )
| ( ( SV47 @ ( sK30_SY170 @ SV7 @ SV29 @ SV47 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(951,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ~ ! [SY170: b] : ( SV47 @ SY170 ) )
= $false )
| ( ( SV29 @ SV7 )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[902]) ).
thf(952,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( ~ ( SV29 @ SV7 ) )
= $false )
| ( ( SV29 @ SV7 )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[902]) ).
thf(953,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= $false )
| ( ( ~ ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(954,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( SV29 @ SV7 )
= $false )
| ( ( ~ ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(955,plain,
! [SV29: b > $o,SV7: b,SV85: b,SV47: b > $o] :
( ( ( SV47 @ SV85 )
= $true )
| ( ( SV47 @ ( sK21_SY170 @ SV7 @ SV29 @ SV47 ) )
= $false )
| ( ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[904]) ).
thf(956,plain,
! [SV36: $o,SV15: b > $o] :
( ( ( ! [SY113: b] : ( SV15 @ SY113 ) )
= $true )
| ( ( SV15 @ ( sK25_SY113 @ SV36 @ SV15 ) )
= $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $false )
| ( SV36 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[909]) ).
thf(957,plain,
! [SV15: b > $o,SV36: $o] :
( ( SV36 = $true )
| ( ( SV15 @ ( sK25_SY113 @ SV36 @ SV15 ) )
= $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $false )
| ( SV36 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[910]) ).
thf(958,plain,
! [SV36: $o,SV86: b,SV15: b > $o] :
( ( ( SV15 @ SV86 )
= $true )
| ( SV36 = $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $false )
| ( SV36 = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[911]) ).
thf(959,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
| ( ( SV15 @ ( sK26_SX0 @ SV15 ) )
= $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[914]) ).
thf(960,plain,
! [SV15: b > $o] :
( ( $true = $true )
| ( ( SV15 @ ( sK26_SX0 @ SV15 ) )
= $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[915]) ).
thf(961,plain,
! [SV87: b,SV15: b > $o] :
( ( ( SV15 @ SV87 )
= $true )
| ( $true = $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[916]) ).
thf(962,plain,
! [SV15: b > $o] :
( ( ( ! [SX0: b] : ( SV15 @ SX0 ) )
= $true )
| ( ( SV15 @ ( sK27_SX0 @ SV15 ) )
= $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[919]) ).
thf(963,plain,
! [SV15: b > $o] :
( ( $false = $true )
| ( ( SV15 @ ( sK27_SX0 @ SV15 ) )
= $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[920]) ).
thf(964,plain,
! [SV88: b,SV15: b > $o] :
( ( ( SV15 @ SV88 )
= $true )
| ( $false = $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[921]) ).
thf(965,plain,
! [SV18: b,SV39: b > $o,SV89: b,SV49: b > $o] :
( ( ( ~ ( SV49 @ SV89 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[923]) ).
thf(966,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $false )
| ( ( SV39 @ SV18 )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[924]) ).
thf(967,plain,
! [SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( ~ ( SV39 @ SV18 ) )
= $false )
| ( ( SV39 @ SV18 )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[924]) ).
thf(968,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[925]) ).
thf(969,plain,
! [SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( SV39 @ SV18 )
= $false )
| ( ( ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[925]) ).
thf(970,plain,
! [SV18: b,SV39: b > $o,SV74: b,SV49: b > $o] :
( ( ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $false )
| ( ( SV49 @ SV74 )
= $false )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[926]) ).
thf(971,plain,
! [SV74: b,SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( ~ ( SV39 @ SV18 ) )
= $false )
| ( ( SV49 @ SV74 )
= $false )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[926]) ).
thf(972,plain,
! [SV39: b > $o,SV18: b,SV49: b > $o] :
( ( ( ~ ( SV49 @ ( sK37_SY172 @ SV18 @ SV39 @ SV49 ) ) )
= $false )
| ( ( SV39 @ SV18 )
= $false )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[927]) ).
thf(973,plain,
! [SV22: set_b,SV42: b > $o,SV50: b > $o,SV56: b] :
( ( ( ~ ( member_b @ ( sK28_SY174 @ SV56 @ SV50 @ SV42 @ SV22 ) @ SV22 )
| ~ ( SV42 @ ( sK28_SY174 @ SV56 @ SV50 @ SV42 @ SV22 ) ) )
= $false )
| ( ( SV50
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV22 )
= $false )
| ( ( SV42 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[928]) ).
thf(974,plain,
! [SV43: $o,SV71: b,SV24: b > $o] :
( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $true )
| ( ( SV24 @ SV71 )
= $false )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[929]) ).
thf(975,plain,
! [SV71: b,SV24: b > $o,SV43: $o] :
( ( SV43 = $true )
| ( ( SV24 @ SV71 )
= $false )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[930]) ).
thf(976,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( SV24 @ ( sK31_SY135 @ SV43 @ SV24 ) )
= $true )
| ( SV43 = $false )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[931]) ).
thf(977,plain,
! [SV78: b,SV43: $o,SV24: b > $o] :
( ( ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 )
| ~ SV43 )
= $false )
| ( ( SV24 @ SV78 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[932]) ).
thf(978,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $false )
| ( SV43 = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(979,plain,
! [SV60: b,SV43: $o,SV24: b > $o] :
( ( ( SV24 @ ( sK32_SY135 @ SV43 @ SV60 @ SV24 ) )
= $true )
| ( ( SV24 @ SV60 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[935]) ).
thf(980,plain,
! [SV72: b,SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
| ( ( SV24 @ SV72 )
= $false )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[936]) ).
thf(981,plain,
! [SV72: b,SV24: b > $o] :
( ( $true = $true )
| ( ( SV24 @ SV72 )
= $false )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[937]) ).
thf(982,plain,
! [SV24: b > $o] :
( ( ( SV24 @ ( sK33_SX0 @ SV24 ) )
= $true )
| ( $true = $false )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[938]) ).
thf(983,plain,
! [SV79: b,SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $true )
= $false )
| ( ( SV24 @ SV79 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[939]) ).
thf(984,plain,
! [SV24: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( $true = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[940]) ).
thf(985,plain,
! [SV61: b,SV24: b > $o] :
( ( ( SV24 @ ( sK34_SX0 @ SV61 @ SV24 ) )
= $true )
| ( ( SV24 @ SV61 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[942]) ).
thf(986,plain,
! [SV73: b,SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
| ( ( SV24 @ SV73 )
= $false )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[943]) ).
thf(987,plain,
! [SV73: b,SV24: b > $o] :
( ( $false = $true )
| ( ( SV24 @ SV73 )
= $false )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[944]) ).
thf(988,plain,
! [SV24: b > $o] :
( ( ( SV24 @ ( sK35_SX0 @ SV24 ) )
= $true )
| ( $false = $false )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[945]) ).
thf(989,plain,
! [SV80: b,SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 )
| ~ $false )
= $false )
| ( ( SV24 @ SV80 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(990,plain,
! [SV24: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( $false = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[947]) ).
thf(991,plain,
! [SV62: b,SV24: b > $o] :
( ( ( SV24 @ ( sK36_SX0 @ SV62 @ SV24 ) )
= $true )
| ( ( SV24 @ SV62 )
= $false )
| ( ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[949]) ).
thf(992,plain,
! [SV29: b > $o,SV7: b,SV47: b > $o] :
( ( ( ~ ! [SY170: b] : ( SV47 @ SY170 ) )
= $false )
| ( ( SV47 @ ( sK30_SY170 @ SV7 @ SV29 @ SV47 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[950]) ).
thf(993,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( ~ ( SV29 @ SV7 ) )
= $false )
| ( ( SV47 @ ( sK30_SY170 @ SV7 @ SV29 @ SV47 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[950]) ).
thf(994,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= $true )
| ( ( SV29 @ SV7 )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[951]) ).
thf(995,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( SV29 @ SV7 )
= $true )
| ( ( SV29 @ SV7 )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[952]) ).
thf(996,plain,
! [SV29: b > $o,SV7: b,SV47: b > $o] :
( ( ( SV47 @ ( sK38_SY170 @ SV7 @ SV29 @ SV47 ) )
= $false )
| ( ( ~ ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[953]) ).
thf(997,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) )
= $false )
| ( ( SV29 @ SV7 )
= $false )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[954]) ).
thf(998,plain,
! [SV36: $o,SV90: b,SV15: b > $o] :
( ( ( SV15 @ SV90 )
= $true )
| ( ( SV15 @ ( sK25_SY113 @ SV36 @ SV15 ) )
= $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SY112: b] :
~ ( SV15 @ SY112 ) ) )
= $false )
| ( SV36 = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[956]) ).
thf(999,plain,
! [SV91: b,SV15: b > $o] :
( ( ( SV15 @ SV91 )
= $true )
| ( ( SV15 @ ( sK26_SX0 @ SV15 ) )
= $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[959]) ).
thf(1000,plain,
! [SV92: b,SV15: b > $o] :
( ( ( SV15 @ SV92 )
= $true )
| ( ( SV15 @ ( sK27_SX0 @ SV15 ) )
= $false )
| ( ( SV15
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[962]) ).
thf(1001,plain,
! [SV18: b,SV39: b > $o,SV89: b,SV49: b > $o] :
( ( ( SV49 @ SV89 )
= $false )
| ( ( ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[965]) ).
thf(1002,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $true )
| ( ( SV39 @ SV18 )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[966]) ).
thf(1003,plain,
! [SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( SV39 @ SV18 )
= $true )
| ( ( SV39 @ SV18 )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[967]) ).
thf(1004,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[968]) ).
thf(1005,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) )
= $false )
| ( ( SV39 @ SV18 )
= $false )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(1006,plain,
! [SV18: b,SV39: b > $o,SV74: b,SV49: b > $o] :
( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $true )
| ( ( SV49 @ SV74 )
= $false )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[970]) ).
thf(1007,plain,
! [SV74: b,SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( SV39 @ SV18 )
= $true )
| ( ( SV49 @ SV74 )
= $false )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[971]) ).
thf(1008,plain,
! [SV39: b > $o,SV18: b,SV49: b > $o] :
( ( ( SV49 @ ( sK37_SY172 @ SV18 @ SV39 @ SV49 ) )
= $true )
| ( ( SV39 @ SV18 )
= $false )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[972]) ).
thf(1009,plain,
! [SV22: set_b,SV42: b > $o,SV50: b > $o,SV56: b] :
( ( ( ~ ( member_b @ ( sK28_SY174 @ SV56 @ SV50 @ SV42 @ SV22 ) @ SV22 ) )
= $false )
| ( ( SV50
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV22 )
= $false )
| ( ( SV42 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[973]) ).
thf(1010,plain,
! [SV22: set_b,SV50: b > $o,SV56: b,SV42: b > $o] :
( ( ( ~ ( SV42 @ ( sK28_SY174 @ SV56 @ SV50 @ SV42 @ SV22 ) ) )
= $false )
| ( ( SV50
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV22 )
= $false )
| ( ( SV42 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[973]) ).
thf(1011,plain,
! [SV43: $o,SV71: b,SV24: b > $o] :
( ( ( ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $false )
| ( ( SV24 @ SV71 )
= $false )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[974]) ).
thf(1012,plain,
! [SV43: $o,SV78: b,SV24: b > $o] :
( ( ( ~ ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $false )
| ( ( SV24 @ SV78 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[977]) ).
thf(1013,plain,
! [SV78: b,SV24: b > $o,SV43: $o] :
( ( ( ~ SV43 ) = $false )
| ( ( SV24 @ SV78 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[977]) ).
thf(1014,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( ~ ( SV24 @ ( sK39_SY135 @ SV43 @ SV24 ) ) )
= $false )
| ( SV43 = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[978]) ).
thf(1015,plain,
! [SV72: b,SV24: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( ( SV24 @ SV72 )
= $false )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[980]) ).
thf(1016,plain,
! [SV79: b,SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( ( SV24 @ SV79 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[983]) ).
thf(1017,plain,
! [SV79: b,SV24: b > $o] :
( ( ( ~ $true ) = $false )
| ( ( SV24 @ SV79 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[983]) ).
thf(1018,plain,
! [SV24: b > $o] :
( ( ( ~ ( SV24 @ ( sK40_SX0 @ SV24 ) ) )
= $false )
| ( $true = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[984]) ).
thf(1019,plain,
! [SV73: b,SV24: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( ( SV24 @ SV73 )
= $false )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1020,plain,
! [SV80: b,SV24: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( ( SV24 @ SV80 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[989]) ).
thf(1021,plain,
! [SV80: b,SV24: b > $o] :
( ( ( ~ $false ) = $false )
| ( ( SV24 @ SV80 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[989]) ).
thf(1022,plain,
! [SV24: b > $o] :
( ( ( ~ ( SV24 @ ( sK41_SX0 @ SV24 ) ) )
= $false )
| ( $false = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[990]) ).
thf(1023,plain,
! [SV29: b > $o,SV7: b,SV47: b > $o] :
( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= $true )
| ( ( SV47 @ ( sK30_SY170 @ SV7 @ SV29 @ SV47 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[992]) ).
thf(1024,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( SV29 @ SV7 )
= $true )
| ( ( SV47 @ ( sK30_SY170 @ SV7 @ SV29 @ SV47 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[993]) ).
thf(1025,plain,
! [SV7: b,SV29: b > $o,SV93: b,SV47: b > $o] :
( ( ( SV47 @ SV93 )
= $true )
| ( ( SV29 @ SV7 )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[994]) ).
thf(1026,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ~ ! [SY170: b] : ( SV47 @ SY170 )
| ~ ( SV29 @ SV7 ) )
= $false )
| ( ( SV47 @ ( sK38_SY170 @ SV7 @ SV29 @ SV47 ) )
= $false )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(1027,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ~ ! [SY170: b] : ( SV47 @ SY170 ) )
= $false )
| ( ( SV29 @ SV7 )
= $false )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[997]) ).
thf(1028,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( ~ ( SV29 @ SV7 ) )
= $false )
| ( ( SV29 @ SV7 )
= $false )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[997]) ).
thf(1029,plain,
! [SV89: b,SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) )
= $false )
| ( ( SV49 @ SV89 )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1001]) ).
thf(1030,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $false )
| ( ( SV39 @ SV18 )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1002]) ).
thf(1031,plain,
! [SV18: b,SV39: b > $o,SV94: b,SV49: b > $o] :
( ( ( ~ ( SV49 @ SV94 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1004]) ).
thf(1032,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $false )
| ( ( SV39 @ SV18 )
= $false )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1005]) ).
thf(1033,plain,
! [SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( ~ ( SV39 @ SV18 ) )
= $false )
| ( ( SV39 @ SV18 )
= $false )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1005]) ).
thf(1034,plain,
! [SV18: b,SV39: b > $o,SV74: b,SV49: b > $o] :
( ( ( ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $false )
| ( ( SV49 @ SV74 )
= $false )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1006]) ).
thf(1035,plain,
! [SV22: set_b,SV42: b > $o,SV50: b > $o,SV56: b] :
( ( ( member_b @ ( sK28_SY174 @ SV56 @ SV50 @ SV42 @ SV22 ) @ SV22 )
= $true )
| ( ( SV50
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV22 )
= $false )
| ( ( SV42 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1009]) ).
thf(1036,plain,
! [SV22: set_b,SV50: b > $o,SV56: b,SV42: b > $o] :
( ( ( SV42 @ ( sK28_SY174 @ SV56 @ SV50 @ SV42 @ SV22 ) )
= $true )
| ( ( SV50
@ ( hilbert_Eps_b
@ ^ [SY165: b] :
~ ( ~ ( member_b @ SY165 @ SV22 )
| ~ ( SV42 @ SY165 ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV22 )
= $false )
| ( ( SV42 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1010]) ).
thf(1037,plain,
! [SV71: b,SV43: $o,SV24: b > $o] :
( ( ( ~ ( SV24 @ ( sK42_SY135 @ SV43 @ SV71 @ SV24 ) ) )
= $false )
| ( ( SV24 @ SV71 )
= $false )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1011]) ).
thf(1038,plain,
! [SV43: $o,SV78: b,SV24: b > $o] :
( ( ( ~ ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $true )
| ( ( SV24 @ SV78 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1012]) ).
thf(1039,plain,
! [SV78: b,SV24: b > $o,SV43: $o] :
( ( SV43 = $true )
| ( ( SV24 @ SV78 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1013]) ).
thf(1040,plain,
! [SV43: $o,SV24: b > $o] :
( ( ( SV24 @ ( sK39_SY135 @ SV43 @ SV24 ) )
= $true )
| ( SV43 = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1014]) ).
thf(1041,plain,
! [SV72: b,SV24: b > $o] :
( ( ( ~ ( SV24 @ ( sK43_SX0 @ SV72 @ SV24 ) ) )
= $false )
| ( ( SV24 @ SV72 )
= $false )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1015]) ).
thf(1042,plain,
! [SV79: b,SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
| ( ( SV24 @ SV79 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1016]) ).
thf(1043,plain,
! [SV79: b,SV24: b > $o] :
( ( $true = $true )
| ( ( SV24 @ SV79 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1017]) ).
thf(1044,plain,
! [SV24: b > $o] :
( ( ( SV24 @ ( sK40_SX0 @ SV24 ) )
= $true )
| ( $true = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1018]) ).
thf(1045,plain,
! [SV73: b,SV24: b > $o] :
( ( ( ~ ( SV24 @ ( sK44_SX0 @ SV73 @ SV24 ) ) )
= $false )
| ( ( SV24 @ SV73 )
= $false )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1019]) ).
thf(1046,plain,
! [SV80: b,SV24: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $true )
| ( ( SV24 @ SV80 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1020]) ).
thf(1047,plain,
! [SV80: b,SV24: b > $o] :
( ( $false = $true )
| ( ( SV24 @ SV80 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1021]) ).
thf(1048,plain,
! [SV24: b > $o] :
( ( ( SV24 @ ( sK41_SX0 @ SV24 ) )
= $true )
| ( $false = $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1022]) ).
thf(1049,plain,
! [SV29: b > $o,SV7: b,SV95: b,SV47: b > $o] :
( ( ( SV47 @ SV95 )
= $true )
| ( ( SV47 @ ( sK30_SY170 @ SV7 @ SV29 @ SV47 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $true )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1023]) ).
thf(1050,plain,
! [SV29: b > $o,SV7: b,SV47: b > $o] :
( ( ( ~ ! [SY170: b] : ( SV47 @ SY170 ) )
= $false )
| ( ( SV47 @ ( sK38_SY170 @ SV7 @ SV29 @ SV47 ) )
= $false )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1026]) ).
thf(1051,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( ~ ( SV29 @ SV7 ) )
= $false )
| ( ( SV47 @ ( sK38_SY170 @ SV7 @ SV29 @ SV47 ) )
= $false )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1026]) ).
thf(1052,plain,
! [SV7: b,SV29: b > $o,SV47: b > $o] :
( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= $true )
| ( ( SV29 @ SV7 )
= $false )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1027]) ).
thf(1053,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( SV29 @ SV7 )
= $true )
| ( ( SV29 @ SV7 )
= $false )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1028]) ).
thf(1054,plain,
! [SV39: b > $o,SV18: b,SV89: b,SV49: b > $o] :
( ( ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $false )
| ( ( SV49 @ SV89 )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1029]) ).
thf(1055,plain,
! [SV89: b,SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( ~ ( SV39 @ SV18 ) )
= $false )
| ( ( SV49 @ SV89 )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1029]) ).
thf(1056,plain,
! [SV39: b > $o,SV18: b,SV49: b > $o] :
( ( ( ~ ( SV49 @ ( sK45_SY172 @ SV18 @ SV39 @ SV49 ) ) )
= $false )
| ( ( SV39 @ SV18 )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1030]) ).
thf(1057,plain,
! [SV18: b,SV39: b > $o,SV94: b,SV49: b > $o] :
( ( ( SV49 @ SV94 )
= $false )
| ( ( ~ ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1031]) ).
thf(1058,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $true )
| ( ( SV39 @ SV18 )
= $false )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1032]) ).
thf(1059,plain,
! [SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( SV39 @ SV18 )
= $true )
| ( ( SV39 @ SV18 )
= $false )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1033]) ).
thf(1060,plain,
! [SV74: b,SV39: b > $o,SV18: b,SV49: b > $o] :
( ( ( ~ ( SV49 @ ( sK46_SY172 @ SV18 @ SV39 @ SV74 @ SV49 ) ) )
= $false )
| ( ( SV49 @ SV74 )
= $false )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1034]) ).
thf(1061,plain,
! [SV71: b,SV43: $o,SV24: b > $o] :
( ( ( SV24 @ ( sK42_SY135 @ SV43 @ SV71 @ SV24 ) )
= $true )
| ( ( SV24 @ SV71 )
= $false )
| ( SV43 = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1037]) ).
thf(1062,plain,
! [SV43: $o,SV78: b,SV24: b > $o] :
( ( ( ! [SY135: b] :
~ ( SV24 @ SY135 ) )
= $false )
| ( ( SV24 @ SV78 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1038]) ).
thf(1063,plain,
! [SV72: b,SV24: b > $o] :
( ( ( SV24 @ ( sK43_SX0 @ SV72 @ SV24 ) )
= $true )
| ( ( SV24 @ SV72 )
= $false )
| ( $true = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1041]) ).
thf(1064,plain,
! [SV79: b,SV24: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( ( SV24 @ SV79 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1065,plain,
! [SV73: b,SV24: b > $o] :
( ( ( SV24 @ ( sK44_SX0 @ SV73 @ SV24 ) )
= $true )
| ( ( SV24 @ SV73 )
= $false )
| ( $false = $true )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1045]) ).
thf(1066,plain,
! [SV80: b,SV24: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV24 @ SX0 ) )
= $false )
| ( ( SV24 @ SV80 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1046]) ).
thf(1067,plain,
! [SV29: b > $o,SV7: b,SV47: b > $o] :
( ( ( ! [SY170: b] : ( SV47 @ SY170 ) )
= $true )
| ( ( SV47 @ ( sK38_SY170 @ SV7 @ SV29 @ SV47 ) )
= $false )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1050]) ).
thf(1068,plain,
! [SV47: b > $o,SV7: b,SV29: b > $o] :
( ( ( SV29 @ SV7 )
= $true )
| ( ( SV47 @ ( sK38_SY170 @ SV7 @ SV29 @ SV47 ) )
= $false )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1051]) ).
thf(1069,plain,
! [SV7: b,SV29: b > $o,SV96: b,SV47: b > $o] :
( ( ( SV47 @ SV96 )
= $true )
| ( ( SV29 @ SV7 )
= $false )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1052]) ).
thf(1070,plain,
! [SV39: b > $o,SV18: b,SV89: b,SV49: b > $o] :
( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $true )
| ( ( SV49 @ SV89 )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1054]) ).
thf(1071,plain,
! [SV89: b,SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( SV39 @ SV18 )
= $true )
| ( ( SV49 @ SV89 )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1055]) ).
thf(1072,plain,
! [SV39: b > $o,SV18: b,SV49: b > $o] :
( ( ( SV49 @ ( sK45_SY172 @ SV18 @ SV39 @ SV49 ) )
= $true )
| ( ( SV39 @ SV18 )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1056]) ).
thf(1073,plain,
! [SV94: b,SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 )
| ~ ( SV39 @ SV18 ) )
= $false )
| ( ( SV49 @ SV94 )
= $false )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1057]) ).
thf(1074,plain,
! [SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $false )
| ( ( SV39 @ SV18 )
= $false )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1058]) ).
thf(1075,plain,
! [SV74: b,SV39: b > $o,SV18: b,SV49: b > $o] :
( ( ( SV49 @ ( sK46_SY172 @ SV18 @ SV39 @ SV74 @ SV49 ) )
= $true )
| ( ( SV49 @ SV74 )
= $false )
| ( ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1060]) ).
thf(1076,plain,
! [SV78: b,SV43: $o,SV24: b > $o] :
( ( ( ~ ( SV24 @ ( sK47_SY135 @ SV43 @ SV78 @ SV24 ) ) )
= $false )
| ( ( SV24 @ SV78 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1062]) ).
thf(1077,plain,
! [SV79: b,SV24: b > $o] :
( ( ( ~ ( SV24 @ ( sK48_SX0 @ SV79 @ SV24 ) ) )
= $false )
| ( ( SV24 @ SV79 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1064]) ).
thf(1078,plain,
! [SV80: b,SV24: b > $o] :
( ( ( ~ ( SV24 @ ( sK49_SX0 @ SV80 @ SV24 ) ) )
= $false )
| ( ( SV24 @ SV80 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1066]) ).
thf(1079,plain,
! [SV29: b > $o,SV7: b,SV97: b,SV47: b > $o] :
( ( ( SV47 @ SV97 )
= $true )
| ( ( SV47 @ ( sK38_SY170 @ SV7 @ SV29 @ SV47 ) )
= $false )
| ( ( SV29 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV47 @ ( sK7_SY169 @ SV7 @ SV47 @ SV29 ) )
= $false )
| ( ( SV7
= ( hilbert_Eps_b
@ ^ [SY143: b] :
~ ( SV29 @ SY143 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1067]) ).
thf(1080,plain,
! [SV39: b > $o,SV18: b,SV89: b,SV49: b > $o] :
( ( ( ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $false )
| ( ( SV49 @ SV89 )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1070]) ).
thf(1081,plain,
! [SV18: b,SV39: b > $o,SV94: b,SV49: b > $o] :
( ( ( ~ ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $false )
| ( ( SV49 @ SV94 )
= $false )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1073]) ).
thf(1082,plain,
! [SV94: b,SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( ~ ( SV39 @ SV18 ) )
= $false )
| ( ( SV49 @ SV94 )
= $false )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1073]) ).
thf(1083,plain,
! [SV39: b > $o,SV18: b,SV49: b > $o] :
( ( ( ~ ( SV49 @ ( sK50_SY172 @ SV18 @ SV39 @ SV49 ) ) )
= $false )
| ( ( SV39 @ SV18 )
= $false )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1074]) ).
thf(1084,plain,
! [SV78: b,SV43: $o,SV24: b > $o] :
( ( ( SV24 @ ( sK47_SY135 @ SV43 @ SV78 @ SV24 ) )
= $true )
| ( ( SV24 @ SV78 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( SV43 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1076]) ).
thf(1085,plain,
! [SV79: b,SV24: b > $o] :
( ( ( SV24 @ ( sK48_SX0 @ SV79 @ SV24 ) )
= $true )
| ( ( SV24 @ SV79 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1077]) ).
thf(1086,plain,
! [SV80: b,SV24: b > $o] :
( ( ( SV24 @ ( sK49_SX0 @ SV80 @ SV24 ) )
= $true )
| ( ( SV24 @ SV80 )
= $false )
| ( ( SV24 @ ( hilbert_Eps_b @ SV24 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1078]) ).
thf(1087,plain,
! [SV89: b,SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( ~ ( SV49 @ ( sK51_SY172 @ SV39 @ SV18 @ SV89 @ SV49 ) ) )
= $false )
| ( ( SV49 @ SV89 )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1080]) ).
thf(1088,plain,
! [SV18: b,SV39: b > $o,SV94: b,SV49: b > $o] :
( ( ( ~ ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $true )
| ( ( SV49 @ SV94 )
= $false )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1081]) ).
thf(1089,plain,
! [SV94: b,SV49: b > $o,SV18: b,SV39: b > $o] :
( ( ( SV39 @ SV18 )
= $true )
| ( ( SV49 @ SV94 )
= $false )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1082]) ).
thf(1090,plain,
! [SV39: b > $o,SV18: b,SV49: b > $o] :
( ( ( SV49 @ ( sK50_SY172 @ SV18 @ SV39 @ SV49 ) )
= $true )
| ( ( SV39 @ SV18 )
= $false )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1083]) ).
thf(1091,plain,
! [SV89: b,SV18: b,SV39: b > $o,SV49: b > $o] :
( ( ( SV49 @ ( sK51_SY172 @ SV39 @ SV18 @ SV89 @ SV49 ) )
= $true )
| ( ( SV49 @ SV89 )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $true )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1087]) ).
thf(1092,plain,
! [SV18: b,SV39: b > $o,SV94: b,SV49: b > $o] :
( ( ( ! [SY172: b] :
~ ( SV49 @ SY172 ) )
= $false )
| ( ( SV49 @ SV94 )
= $false )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1088]) ).
thf(1093,plain,
! [SV94: b,SV39: b > $o,SV18: b,SV49: b > $o] :
( ( ( ~ ( SV49 @ ( sK52_SY172 @ SV18 @ SV39 @ SV94 @ SV49 ) ) )
= $false )
| ( ( SV49 @ SV94 )
= $false )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1092]) ).
thf(1094,plain,
! [SV94: b,SV39: b > $o,SV18: b,SV49: b > $o] :
( ( ( SV49 @ ( sK52_SY172 @ SV18 @ SV39 @ SV94 @ SV49 ) )
= $true )
| ( ( SV49 @ SV94 )
= $false )
| ( ( SV39 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV49 @ ( sK8_SY171 @ SV18 @ SV49 @ SV39 ) )
= $false )
| ( ( SV18
= ( hilbert_Eps_b @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1093]) ).
thf(1095,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[187,1094,1091,1090,1089,1086,1085,1084,1079,1075,1072,1071,1069,1068,1065,1063,1061,1059,1053,1049,1048,1047,1044,1043,1040,1039,1036,1035,1025,1024,1008,1007,1003,1000,999,998,995,991,988,987,985,982,981,979,976,975,964,963,961,960,958,957,955,948,941,934,922,918,917,913,912,908,907,906,905,882,880,879,870,869,864,863,858,857,854,847,846,842,839,838,834,831,830,826,822,817,812,806,800,792,758,752,746,740,739,737,714,710,708,707,702,701,696,695,683,681,675,669,661,660,655,648,641,631,627,626,625,624,620,614,608,603,593,587,581,578,574,573,572,571,562,544,520,516,515,512,511,506,501,496,488,484,479,474,468,466,462,457,439,424,382,374,370,366,362,358,355,351,347,339,332,319,308,285,277,244,243,226,215,190,188]) ).
thf(1096,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1095]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP144^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.19 % Computer : n018.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 11:20:51 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.28/1.86
% 9.28/1.86 No.of.Axioms: 24
% 9.28/1.86
% 9.28/1.86 Length.of.Defs: 0
% 9.28/1.86
% 9.28/1.86 Contains.Choice.Funs: true
% 9.28/1.86 ....................
% 9.28/1.86
% 9.28/1.86 ********************************
% 9.28/1.86 * All subproblems solved! *
% 9.28/1.86 ********************************
% 9.28/1.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:24,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:1095,loop_count:0,foatp_calls:1,translation:fof_full)
% 9.28/1.86
% 9.28/1.86 %**** Beginning of derivation protocol ****
% 9.28/1.86 % SZS output start CNFRefutation
% See solution above
% 9.28/1.86
% 9.28/1.86 %**** End of derivation protocol ****
% 9.28/1.86 %**** no. of clauses in derivation: 1009 ****
% 9.28/1.86 %**** clause counter: 1095 ****
% 9.28/1.86
% 9.28/1.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:24,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:1095,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------