TSTP Solution File: SYO559^1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO559^1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 17:35:33 EDT 2022
% Result : Theorem 87.20s 87.41s
% Output : CNFRefutation 87.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 109
% Syntax : Number of formulae : 1298 ( 159 unt; 106 typ; 0 def)
% Number of atoms : 7378 (2519 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 7469 (2230 ~;1587 |; 0 &;3645 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 1488 (1488 >; 0 *; 0 +; 0 <<)
% Number of symbols : 109 ( 106 usr; 103 con; 0-2 aty)
% Number of variables : 2333 (1048 ^1281 !; 4 ?;2333 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_epso,type,
epso: ( $o > $o ) > $o ).
thf(tp_epsoo,type,
epsoo: ( ( $o > $o ) > $o ) > $o > $o ).
thf(tp_sK100_E,type,
sK100_E: $o ).
thf(tp_sK101_E,type,
sK101_E: $o ).
thf(tp_sK102_E,type,
sK102_E: $o ).
thf(tp_sK103_E,type,
sK103_E: $o ).
thf(tp_sK104_E,type,
sK104_E: $o ).
thf(tp_sK10_E,type,
sK10_E: $o ).
thf(tp_sK11_E,type,
sK11_E: $o ).
thf(tp_sK12_E,type,
sK12_E: $o ).
thf(tp_sK13_E,type,
sK13_E: $o ).
thf(tp_sK14_E,type,
sK14_E: $o ).
thf(tp_sK15_E,type,
sK15_E: $o ).
thf(tp_sK16_E,type,
sK16_E: $o ).
thf(tp_sK17_E,type,
sK17_E: $o > $o > $o ).
thf(tp_sK18_E,type,
sK18_E: $o ).
thf(tp_sK19_E,type,
sK19_E: $o > $o ).
thf(tp_sK1_E,type,
sK1_E: $o ).
thf(tp_sK20_E,type,
sK20_E: $o ).
thf(tp_sK21_E,type,
sK21_E: $o ).
thf(tp_sK22_E,type,
sK22_E: $o ).
thf(tp_sK23_E,type,
sK23_E: $o ).
thf(tp_sK24_E,type,
sK24_E: $o ).
thf(tp_sK25_E,type,
sK25_E: $o ).
thf(tp_sK26_E,type,
sK26_E: $o ).
thf(tp_sK27_E,type,
sK27_E: $o ).
thf(tp_sK28_E,type,
sK28_E: $o ).
thf(tp_sK29_E,type,
sK29_E: $o ).
thf(tp_sK2_E,type,
sK2_E: $o ).
thf(tp_sK30_E,type,
sK30_E: $o ).
thf(tp_sK31_E,type,
sK31_E: $o ).
thf(tp_sK32_E,type,
sK32_E: $o ).
thf(tp_sK33_E,type,
sK33_E: $o ).
thf(tp_sK34_E,type,
sK34_E: $o ).
thf(tp_sK35_E,type,
sK35_E: $o ).
thf(tp_sK36_E,type,
sK36_E: $o ).
thf(tp_sK37_E,type,
sK37_E: $o ).
thf(tp_sK38_E,type,
sK38_E: $o ).
thf(tp_sK39_E,type,
sK39_E: $o ).
thf(tp_sK3_E,type,
sK3_E: $o ).
thf(tp_sK40_E,type,
sK40_E: $o ).
thf(tp_sK41_E,type,
sK41_E: $o ).
thf(tp_sK42_E,type,
sK42_E: $o ).
thf(tp_sK43_E,type,
sK43_E: $o ).
thf(tp_sK44_E,type,
sK44_E: $o ).
thf(tp_sK45_E,type,
sK45_E: $o ).
thf(tp_sK46_E,type,
sK46_E: $o ).
thf(tp_sK47_E,type,
sK47_E: $o ).
thf(tp_sK48_E,type,
sK48_E: $o ).
thf(tp_sK49_E,type,
sK49_E: $o ).
thf(tp_sK4_E,type,
sK4_E: $o ).
thf(tp_sK50_E,type,
sK50_E: $o ).
thf(tp_sK51_E,type,
sK51_E: $o ).
thf(tp_sK52_E,type,
sK52_E: $o ).
thf(tp_sK53_E,type,
sK53_E: $o ).
thf(tp_sK54_E,type,
sK54_E: ( $o > $o ) > $o ).
thf(tp_sK55_E,type,
sK55_E: $o ).
thf(tp_sK56_E,type,
sK56_E: $o ).
thf(tp_sK57_E,type,
sK57_E: $o ).
thf(tp_sK58_E,type,
sK58_E: $o ).
thf(tp_sK59_E,type,
sK59_E: $o ).
thf(tp_sK5_E,type,
sK5_E: $o ).
thf(tp_sK60_E,type,
sK60_E: $o ).
thf(tp_sK61_E,type,
sK61_E: $o ).
thf(tp_sK62_E,type,
sK62_E: $o ).
thf(tp_sK63_E,type,
sK63_E: $o ).
thf(tp_sK64_E,type,
sK64_E: $o ).
thf(tp_sK65_E,type,
sK65_E: $o ).
thf(tp_sK66_E,type,
sK66_E: $o ).
thf(tp_sK67_E,type,
sK67_E: $o ).
thf(tp_sK68_E,type,
sK68_E: $o ).
thf(tp_sK69_E,type,
sK69_E: $o ).
thf(tp_sK6_E,type,
sK6_E: $o ).
thf(tp_sK70_E,type,
sK70_E: $o ).
thf(tp_sK71_E,type,
sK71_E: $o ).
thf(tp_sK72_E,type,
sK72_E: $o ).
thf(tp_sK73_E,type,
sK73_E: $o ).
thf(tp_sK74_E,type,
sK74_E: $o ).
thf(tp_sK75_E,type,
sK75_E: $o ).
thf(tp_sK76_E,type,
sK76_E: $o ).
thf(tp_sK77_E,type,
sK77_E: $o ).
thf(tp_sK78_E,type,
sK78_E: $o ).
thf(tp_sK79_E,type,
sK79_E: $o ).
thf(tp_sK7_E,type,
sK7_E: $o ).
thf(tp_sK80_E,type,
sK80_E: $o ).
thf(tp_sK81_E,type,
sK81_E: $o ).
thf(tp_sK82_E,type,
sK82_E: $o ).
thf(tp_sK83_E,type,
sK83_E: $o ).
thf(tp_sK84_E,type,
sK84_E: $o ).
thf(tp_sK85_E,type,
sK85_E: $o ).
thf(tp_sK86_E,type,
sK86_E: $o ).
thf(tp_sK87_E,type,
sK87_E: $o ).
thf(tp_sK88_E,type,
sK88_E: $o ).
thf(tp_sK89_E,type,
sK89_E: $o ).
thf(tp_sK8_E,type,
sK8_E: $o ).
thf(tp_sK90_E,type,
sK90_E: $o ).
thf(tp_sK91_E,type,
sK91_E: $o ).
thf(tp_sK92_E,type,
sK92_E: $o ).
thf(tp_sK93_E,type,
sK93_E: $o ).
thf(tp_sK94_E,type,
sK94_E: $o ).
thf(tp_sK95_E,type,
sK95_E: $o ).
thf(tp_sK96_E,type,
sK96_E: $o ).
thf(tp_sK97_E,type,
sK97_E: $o ).
thf(tp_sK98_E,type,
sK98_E: $o ).
thf(tp_sK99_E,type,
sK99_E: $o ).
thf(tp_sK9_E,type,
sK9_E: $o ).
thf(1,axiom,
! [P: ( $o > $o ) > $o] :
( ? [X: $o > $o] : ( P @ X )
=> ( P @ ( epsoo @ P ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',choiceaxoo) ).
thf(2,axiom,
! [P: $o > $o] :
( ? [X: $o] : ( P @ X )
=> ( P @ ( epso @ P ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',choiceaxo) ).
thf(3,conjecture,
( ( epsoo @ epso @ $false )
=> ( epsoo @ epso @ $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
thf(4,negated_conjecture,
( ( ( epsoo @ epso @ $false )
=> ( epsoo @ epso @ $true ) )
= $false ),
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,plain,
( ( ( epsoo @ epso @ $false )
=> ( epsoo @ epso @ $true ) )
= $false ),
inference(unfold_def,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [P: ( $o > $o ) > $o] :
( ? [X: $o > $o] : ( P @ X )
=> ( P @ ( epsoo @ P ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(7,plain,
( ( ! [P: $o > $o] :
( ? [X: $o] : ( P @ X )
=> ( P @ ( epso @ P ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(8,plain,
( ( epsoo @ epso @ $false )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(9,plain,
( ( epsoo @ epso @ $true )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(10,plain,
( ( ~ ( epsoo @ epso @ $true ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [P: ( $o > $o ) > $o] :
( ! [X: $o > $o] :
~ ( P @ X )
| ( P @ ( epsoo @ P ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(12,plain,
( ( ! [P: $o > $o] :
( ! [X: $o] :
~ ( P @ X )
| ( P @ ( epso @ P ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(13,plain,
( ( ! [P: $o > $o] :
( ! [X: $o] :
~ ( P @ X )
| ( P @ ( epso @ P ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [P: ( $o > $o ) > $o] :
( ! [X: $o > $o] :
~ ( P @ X )
| ( P @ ( epsoo @ P ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(15,plain,
( ( epsoo @ epso @ $false )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(16,plain,
( ( ~ ( epsoo @ epso @ $true ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(17,plain,
! [SV1: $o > $o] :
( ( ! [SY345: $o] :
~ ( SV1 @ SY345 )
| ( SV1 @ ( epso @ SV1 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[13]) ).
thf(20,plain,
( ( ! [SX0: $o] : ~ SX0
| ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[13]) ).
thf(21,plain,
( ( ! [SX0: $o] :
~ ~ SX0
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[13]) ).
thf(22,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ! [SY346: $o > $o] :
~ ( SV3 @ SY346 )
| ( SV3 @ ( epsoo @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(23,plain,
( ( epsoo @ epso @ $true )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(24,plain,
! [SV1: $o > $o] :
( ( ( ! [SY345: $o] :
~ ( SV1 @ SY345 ) )
= $true )
| ( ( SV1 @ ( epso @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(27,plain,
( ( ( ! [SX0: $o] : ~ SX0 )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(28,plain,
( ( ( ! [SX0: $o] :
~ ~ SX0 )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(29,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ! [SY346: $o > $o] :
~ ( SV3 @ SY346 ) )
= $true )
| ( ( SV3 @ ( epsoo @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(30,plain,
! [SV4: $o,SV1: $o > $o] :
( ( ( ~ ( SV1 @ SV4 ) )
= $true )
| ( ( SV1 @ ( epso @ SV1 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[24]) ).
thf(31,plain,
! [SV1: $o > $o] :
( ( ( ~ ( SV1 @ $true ) )
= $true )
| ( ( SV1 @ ( epso @ SV1 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[24]) ).
thf(32,plain,
! [SV1: $o > $o] :
( ( ( ~ ( SV1 @ $false ) )
= $true )
| ( ( SV1 @ ( epso @ SV1 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[24]) ).
thf(39,plain,
! [SV7: $o] :
( ( ( ~ SV7 )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[27]) ).
thf(40,plain,
( ( ( ~ $true )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[27]) ).
thf(41,plain,
( ( ( ~ $false )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[27]) ).
thf(42,plain,
! [SV8: $o] :
( ( ( ~ ~ SV8 )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[28]) ).
thf(43,plain,
( ( ( ~ ~ $true )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[28]) ).
thf(44,plain,
( ( ( ~ ~ $false )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[28]) ).
thf(46,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( SV3 @ ( epsoo @ SV3 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[29]) ).
thf(47,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( SV3 @ ( epsoo @ SV3 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[29]) ).
thf(48,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( SV3 @ ( epsoo @ SV3 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[29]) ).
thf(49,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( SV3 @ ( epsoo @ SV3 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[29]) ).
thf(50,plain,
! [SV4: $o,SV1: $o > $o] :
( ( ( SV1 @ SV4 )
= $false )
| ( ( SV1 @ ( epso @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(51,plain,
! [SV1: $o > $o] :
( ( ( SV1 @ $true )
= $false )
| ( ( SV1 @ ( epso @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(52,plain,
! [SV1: $o > $o] :
( ( ( SV1 @ $false )
= $false )
| ( ( SV1 @ ( epso @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(59,plain,
! [SV7: $o] :
( ( SV7 = $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(60,plain,
( ( $true = $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(61,plain,
( ( $false = $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(62,plain,
! [SV8: $o] :
( ( ( ~ SV8 )
= $false )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(63,plain,
( ( ( ~ $true )
= $false )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(64,plain,
( ( ( ~ $false )
= $false )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(66,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV3 @ ( epsoo @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(67,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV3 @ ( epsoo @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(68,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV3 @ ( epsoo @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(69,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV3 @ ( epsoo @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(70,plain,
! [SV8: $o] :
( ( SV8 = $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(71,plain,
( ( $true = $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(72,plain,
( ( $false = $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(73,plain,
! [SV8: $o] :
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( SV8 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(74,plain,
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(75,plain,
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(76,plain,
( ( epso
@ ^ [SV11: $o] : ~ SV11 )
= $false ),
inference(choiceBool,[status(thm)],[50]) ).
thf(77,plain,
( ( epso
@ ^ [SV11: $o] : SV11 )
= $true ),
inference(choiceBool,[status(thm)],[50]) ).
thf(78,plain,
( ( ~ ~ ! [SV12: $o > $o] :
~ ( epso @ SV12 )
| ( epso @ ( epsoo @ epso ) ) )
= $true ),
inference(choice,[status(thm)],[15]) ).
thf(80,plain,
( ( ~ ~ ! [SY349: $o] : ~ SY349
| ( epso
@ ^ [SV11: $o] : SV11 ) )
= $true ),
inference(choice,[status(thm)],[77]) ).
thf(81,plain,
( ( ~ ~ ! [SY351: $o] :
~ ~ SY351
| ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true ),
inference(choice,[status(thm)],[76]) ).
thf(82,plain,
! [SV1: $o > $o] :
( ( ~ ~ ! [SV16: $o] :
~ ( SV1 @ SV16 )
| ( SV1 @ ( epso @ SV1 ) ) )
= $true ),
inference(choice,[status(thm)],[51]) ).
thf(83,plain,
! [SV17: $o > $o] :
( ( ~ ~ ! [SX0: $o] :
~ ( SV17 @ SX0 )
| ( SV17 @ ( epso @ SV17 ) ) )
= $true ),
inference(rename,[status(thm)],[82]) ).
thf(84,plain,
! [SV1: $o > $o] :
( ( ~ ~ ! [SV18: $o] :
~ ( SV1 @ SV18 )
| ( SV1 @ ( epso @ SV1 ) ) )
= $true ),
inference(choice,[status(thm)],[52]) ).
thf(85,plain,
! [SV19: $o > $o] :
( ( ~ ~ ! [SX0: $o] :
~ ( SV19 @ SX0 )
| ( SV19 @ ( epso @ SV19 ) ) )
= $true ),
inference(rename,[status(thm)],[84]) ).
thf(86,plain,
( ( ~ ~ ! [SY355: $o] : ~ SY355
| ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true ),
inference(choice,[status(thm)],[59]) ).
thf(87,plain,
( ( ~ ~ ! [SY357: $o] : ~ SY357
| ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true ),
inference(choice,[status(thm)],[60]) ).
thf(88,plain,
( ( ~ ~ ! [SY359: $o] : ~ SY359
| ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true ),
inference(choice,[status(thm)],[61]) ).
thf(92,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ~ ~ ! [SV24: $o] :
~ ( epsoo @ SV3 @ SV24 )
| ( epsoo @ SV3 @ ( epso @ ( epsoo @ SV3 ) ) ) )
= $true ),
inference(choice,[status(thm)],[66]) ).
thf(93,plain,
! [SV25: ( $o > $o ) > $o] :
( ( ~ ~ ! [SX0: $o] :
~ ( epsoo @ SV25 @ SX0 )
| ( epsoo @ SV25 @ ( epso @ ( epsoo @ SV25 ) ) ) )
= $true ),
inference(rename,[status(thm)],[92]) ).
thf(94,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ~ ~ ! [SV26: $o > $o] :
~ ( SV3 @ SV26 )
| ( SV3 @ ( epsoo @ SV3 ) ) )
= $true ),
inference(choice,[status(thm)],[66]) ).
thf(95,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV27 @ SX0 )
| ( SV27 @ ( epsoo @ SV27 ) ) )
= $true ),
inference(rename,[status(thm)],[94]) ).
thf(99,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ~ ~ ! [SV29: $o] :
~ ( epsoo @ SV3 @ SV29 )
| ( epsoo @ SV3 @ ( epso @ ( epsoo @ SV3 ) ) ) )
= $true ),
inference(choice,[status(thm)],[67]) ).
thf(100,plain,
! [SV30: ( $o > $o ) > $o] :
( ( ~ ~ ! [SX0: $o] :
~ ( epsoo @ SV30 @ SX0 )
| ( epsoo @ SV30 @ ( epso @ ( epsoo @ SV30 ) ) ) )
= $true ),
inference(rename,[status(thm)],[99]) ).
thf(101,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ~ ~ ! [SV31: $o > $o] :
~ ( SV3 @ SV31 )
| ( SV3 @ ( epsoo @ SV3 ) ) )
= $true ),
inference(choice,[status(thm)],[67]) ).
thf(102,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV32 @ SX0 )
| ( SV32 @ ( epsoo @ SV32 ) ) )
= $true ),
inference(rename,[status(thm)],[101]) ).
thf(104,plain,
( ( ~ ~ ! [SY369: $o] : ~ SY369
| ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true ),
inference(choice,[status(thm)],[68]) ).
thf(106,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ~ ~ ! [SV34: $o] :
~ ( epsoo @ SV3 @ SV34 )
| ( epsoo @ SV3 @ ( epso @ ( epsoo @ SV3 ) ) ) )
= $true ),
inference(choice,[status(thm)],[68]) ).
thf(107,plain,
! [SV35: ( $o > $o ) > $o] :
( ( ~ ~ ! [SX0: $o] :
~ ( epsoo @ SV35 @ SX0 )
| ( epsoo @ SV35 @ ( epso @ ( epsoo @ SV35 ) ) ) )
= $true ),
inference(rename,[status(thm)],[106]) ).
thf(108,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ~ ~ ! [SV36: $o > $o] :
~ ( SV3 @ SV36 )
| ( SV3 @ ( epsoo @ SV3 ) ) )
= $true ),
inference(choice,[status(thm)],[68]) ).
thf(109,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV37 @ SX0 )
| ( SV37 @ ( epsoo @ SV37 ) ) )
= $true ),
inference(rename,[status(thm)],[108]) ).
thf(111,plain,
( ( ~ ~ ! [SY373: $o] :
~ ~ SY373
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ),
inference(choice,[status(thm)],[69]) ).
thf(113,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ~ ~ ! [SV39: $o] :
~ ( epsoo @ SV3 @ SV39 )
| ( epsoo @ SV3 @ ( epso @ ( epsoo @ SV3 ) ) ) )
= $true ),
inference(choice,[status(thm)],[69]) ).
thf(114,plain,
! [SV40: ( $o > $o ) > $o] :
( ( ~ ~ ! [SX0: $o] :
~ ( epsoo @ SV40 @ SX0 )
| ( epsoo @ SV40 @ ( epso @ ( epsoo @ SV40 ) ) ) )
= $true ),
inference(rename,[status(thm)],[113]) ).
thf(115,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ~ ~ ! [SV41: $o > $o] :
~ ( SV3 @ SV41 )
| ( SV3 @ ( epsoo @ SV3 ) ) )
= $true ),
inference(choice,[status(thm)],[69]) ).
thf(116,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV42 @ SX0 )
| ( SV42 @ ( epsoo @ SV42 ) ) )
= $true ),
inference(rename,[status(thm)],[115]) ).
thf(117,plain,
( ( ~ ~ ! [SY377: $o] :
~ ~ SY377
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ),
inference(choice,[status(thm)],[73]) ).
thf(118,plain,
( ( ~ ~ ! [SY379: $o] :
~ ~ SY379
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ),
inference(choice,[status(thm)],[74]) ).
thf(119,plain,
( ( ~ ~ ! [SY381: $o] :
~ ~ SY381
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ),
inference(choice,[status(thm)],[75]) ).
thf(120,plain,
( ( ( ~ ~ ! [SV12: $o > $o] :
~ ( epso @ SV12 ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(122,plain,
( ( ( ~ ~ ! [SY349: $o] : ~ SY349 )
= $true )
| ( ( epso
@ ^ [SV11: $o] : SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(123,plain,
( ( ( ~ ~ ! [SY351: $o] :
~ ~ SY351 )
= $true )
| ( ( ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(124,plain,
! [SV17: $o > $o] :
( ( ( ~ ~ ! [SX0: $o] :
~ ( SV17 @ SX0 ) )
= $true )
| ( ( SV17 @ ( epso @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(125,plain,
! [SV19: $o > $o] :
( ( ( ~ ~ ! [SX0: $o] :
~ ( SV19 @ SX0 ) )
= $true )
| ( ( SV19 @ ( epso @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(126,plain,
( ( ( ~ ~ ! [SY355: $o] : ~ SY355 )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(127,plain,
( ( ( ~ ~ ! [SY357: $o] : ~ SY357 )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(128,plain,
( ( ( ~ ~ ! [SY359: $o] : ~ SY359 )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(130,plain,
! [SV25: ( $o > $o ) > $o] :
( ( ( ~ ~ ! [SX0: $o] :
~ ( epsoo @ SV25 @ SX0 ) )
= $true )
| ( ( epsoo @ SV25 @ ( epso @ ( epsoo @ SV25 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(131,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV27 @ SX0 ) )
= $true )
| ( ( SV27 @ ( epsoo @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(133,plain,
! [SV30: ( $o > $o ) > $o] :
( ( ( ~ ~ ! [SX0: $o] :
~ ( epsoo @ SV30 @ SX0 ) )
= $true )
| ( ( epsoo @ SV30 @ ( epso @ ( epsoo @ SV30 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(134,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV32 @ SX0 ) )
= $true )
| ( ( SV32 @ ( epsoo @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(135,plain,
( ( ( ~ ~ ! [SY369: $o] : ~ SY369 )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(136,plain,
! [SV35: ( $o > $o ) > $o] :
( ( ( ~ ~ ! [SX0: $o] :
~ ( epsoo @ SV35 @ SX0 ) )
= $true )
| ( ( epsoo @ SV35 @ ( epso @ ( epsoo @ SV35 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(137,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV37 @ SX0 ) )
= $true )
| ( ( SV37 @ ( epsoo @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(138,plain,
( ( ( ~ ~ ! [SY373: $o] :
~ ~ SY373 )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(139,plain,
! [SV40: ( $o > $o ) > $o] :
( ( ( ~ ~ ! [SX0: $o] :
~ ( epsoo @ SV40 @ SX0 ) )
= $true )
| ( ( epsoo @ SV40 @ ( epso @ ( epsoo @ SV40 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(140,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV42 @ SX0 ) )
= $true )
| ( ( SV42 @ ( epsoo @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(141,plain,
( ( ( ~ ~ ! [SY377: $o] :
~ ~ SY377 )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(142,plain,
( ( ( ~ ~ ! [SY379: $o] :
~ ~ SY379 )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(143,plain,
( ( ( ~ ~ ! [SY381: $o] :
~ ~ SY381 )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(144,plain,
( ( ( ~ ! [SV12: $o > $o] :
~ ( epso @ SV12 ) )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(146,plain,
( ( ( ~ ! [SY349: $o] : ~ SY349 )
= $false )
| ( ( epso
@ ^ [SV11: $o] : SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(147,plain,
( ( ( ~ ! [SY351: $o] :
~ ~ SY351 )
= $false )
| ( ( ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(148,plain,
! [SV17: $o > $o] :
( ( ( ~ ! [SX0: $o] :
~ ( SV17 @ SX0 ) )
= $false )
| ( ( SV17 @ ( epso @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(149,plain,
! [SV19: $o > $o] :
( ( ( ~ ! [SX0: $o] :
~ ( SV19 @ SX0 ) )
= $false )
| ( ( SV19 @ ( epso @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(150,plain,
( ( ( ~ ! [SY355: $o] : ~ SY355 )
= $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(151,plain,
( ( ( ~ ! [SY357: $o] : ~ SY357 )
= $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(152,plain,
( ( ( ~ ! [SY359: $o] : ~ SY359 )
= $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(154,plain,
! [SV25: ( $o > $o ) > $o] :
( ( ( ~ ! [SX0: $o] :
~ ( epsoo @ SV25 @ SX0 ) )
= $false )
| ( ( epsoo @ SV25 @ ( epso @ ( epsoo @ SV25 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(155,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ! [SX0: $o > $o] :
~ ( SV27 @ SX0 ) )
= $false )
| ( ( SV27 @ ( epsoo @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(157,plain,
! [SV30: ( $o > $o ) > $o] :
( ( ( ~ ! [SX0: $o] :
~ ( epsoo @ SV30 @ SX0 ) )
= $false )
| ( ( epsoo @ SV30 @ ( epso @ ( epsoo @ SV30 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(158,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ! [SX0: $o > $o] :
~ ( SV32 @ SX0 ) )
= $false )
| ( ( SV32 @ ( epsoo @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(159,plain,
( ( ( ~ ! [SY369: $o] : ~ SY369 )
= $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(160,plain,
! [SV35: ( $o > $o ) > $o] :
( ( ( ~ ! [SX0: $o] :
~ ( epsoo @ SV35 @ SX0 ) )
= $false )
| ( ( epsoo @ SV35 @ ( epso @ ( epsoo @ SV35 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(161,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ! [SX0: $o > $o] :
~ ( SV37 @ SX0 ) )
= $false )
| ( ( SV37 @ ( epsoo @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(162,plain,
( ( ( ~ ! [SY373: $o] :
~ ~ SY373 )
= $false )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(163,plain,
! [SV40: ( $o > $o ) > $o] :
( ( ( ~ ! [SX0: $o] :
~ ( epsoo @ SV40 @ SX0 ) )
= $false )
| ( ( epsoo @ SV40 @ ( epso @ ( epsoo @ SV40 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(164,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ! [SX0: $o > $o] :
~ ( SV42 @ SX0 ) )
= $false )
| ( ( SV42 @ ( epsoo @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(165,plain,
( ( ( ~ ! [SY377: $o] :
~ ~ SY377 )
= $false )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(166,plain,
( ( ( ~ ! [SY379: $o] :
~ ~ SY379 )
= $false )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(167,plain,
( ( ( ~ ! [SY381: $o] :
~ ~ SY381 )
= $false )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(168,plain,
( ( ( ! [SV12: $o > $o] :
~ ( epso @ SV12 ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(170,plain,
( ( ( ! [SY349: $o] : ~ SY349 )
= $true )
| ( ( epso
@ ^ [SV11: $o] : SV11 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(171,plain,
( ( ( ! [SY351: $o] :
~ ~ SY351 )
= $true )
| ( ( ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(172,plain,
! [SV17: $o > $o] :
( ( ( ! [SX0: $o] :
~ ( SV17 @ SX0 ) )
= $true )
| ( ( SV17 @ ( epso @ SV17 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(173,plain,
! [SV19: $o > $o] :
( ( ( ! [SX0: $o] :
~ ( SV19 @ SX0 ) )
= $true )
| ( ( SV19 @ ( epso @ SV19 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(174,plain,
( ( ( ! [SY355: $o] : ~ SY355 )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(175,plain,
( ( ( ! [SY357: $o] : ~ SY357 )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(176,plain,
( ( ( ! [SY359: $o] : ~ SY359 )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(178,plain,
! [SV25: ( $o > $o ) > $o] :
( ( ( ! [SX0: $o] :
~ ( epsoo @ SV25 @ SX0 ) )
= $true )
| ( ( epsoo @ SV25 @ ( epso @ ( epsoo @ SV25 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(179,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ! [SX0: $o > $o] :
~ ( SV27 @ SX0 ) )
= $true )
| ( ( SV27 @ ( epsoo @ SV27 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(181,plain,
! [SV30: ( $o > $o ) > $o] :
( ( ( ! [SX0: $o] :
~ ( epsoo @ SV30 @ SX0 ) )
= $true )
| ( ( epsoo @ SV30 @ ( epso @ ( epsoo @ SV30 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(182,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ! [SX0: $o > $o] :
~ ( SV32 @ SX0 ) )
= $true )
| ( ( SV32 @ ( epsoo @ SV32 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(183,plain,
( ( ( ! [SY369: $o] : ~ SY369 )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(184,plain,
! [SV35: ( $o > $o ) > $o] :
( ( ( ! [SX0: $o] :
~ ( epsoo @ SV35 @ SX0 ) )
= $true )
| ( ( epsoo @ SV35 @ ( epso @ ( epsoo @ SV35 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(185,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ! [SX0: $o > $o] :
~ ( SV37 @ SX0 ) )
= $true )
| ( ( SV37 @ ( epsoo @ SV37 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(186,plain,
( ( ( ! [SY373: $o] :
~ ~ SY373 )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(187,plain,
! [SV40: ( $o > $o ) > $o] :
( ( ( ! [SX0: $o] :
~ ( epsoo @ SV40 @ SX0 ) )
= $true )
| ( ( epsoo @ SV40 @ ( epso @ ( epsoo @ SV40 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(188,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ! [SX0: $o > $o] :
~ ( SV42 @ SX0 ) )
= $true )
| ( ( SV42 @ ( epsoo @ SV42 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(189,plain,
( ( ( ! [SY377: $o] :
~ ~ SY377 )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(190,plain,
( ( ( ! [SY379: $o] :
~ ~ SY379 )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(191,plain,
( ( ( ! [SY381: $o] :
~ ~ SY381 )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(192,plain,
! [SV46: $o > $o] :
( ( ( ~ ( epso @ SV46 ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[168]) ).
thf(202,plain,
! [SV50: $o] :
( ( ( ~ SV50 )
= $true )
| ( ( epso
@ ^ [SV11: $o] : SV11 )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[170]) ).
thf(203,plain,
( ( ( ~ $true )
= $true )
| ( ( epso
@ ^ [SV11: $o] : SV11 )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[170]) ).
thf(205,plain,
! [SV51: $o] :
( ( ( ~ ~ SV51 )
= $true )
| ( ( ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[171]) ).
thf(207,plain,
( ( ( ~ ~ $false )
= $true )
| ( ( ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[171]) ).
thf(208,plain,
! [SV52: $o,SV17: $o > $o] :
( ( ( ~ ( SV17 @ SV52 ) )
= $true )
| ( ( SV17 @ ( epso @ SV17 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[172]) ).
thf(209,plain,
! [SV17: $o > $o] :
( ( ( ~ ( SV17 @ $true ) )
= $true )
| ( ( SV17 @ ( epso @ SV17 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[172]) ).
thf(210,plain,
! [SV17: $o > $o] :
( ( ( ~ ( SV17 @ $false ) )
= $true )
| ( ( SV17 @ ( epso @ SV17 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[172]) ).
thf(211,plain,
! [SV53: $o,SV19: $o > $o] :
( ( ( ~ ( SV19 @ SV53 ) )
= $true )
| ( ( SV19 @ ( epso @ SV19 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[173]) ).
thf(212,plain,
! [SV19: $o > $o] :
( ( ( ~ ( SV19 @ $true ) )
= $true )
| ( ( SV19 @ ( epso @ SV19 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[173]) ).
thf(213,plain,
! [SV19: $o > $o] :
( ( ( ~ ( SV19 @ $false ) )
= $true )
| ( ( SV19 @ ( epso @ SV19 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[173]) ).
thf(214,plain,
! [SV54: $o] :
( ( ( ~ SV54 )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[174]) ).
thf(215,plain,
( ( ( ~ $true )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[174]) ).
thf(217,plain,
! [SV55: $o] :
( ( ( ~ SV55 )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[175]) ).
thf(218,plain,
( ( ( ~ $true )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[175]) ).
thf(220,plain,
! [SV56: $o] :
( ( ( ~ SV56 )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[176]) ).
thf(221,plain,
( ( ( ~ $true )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[176]) ).
thf(226,plain,
! [SV58: $o,SV25: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV25 @ SV58 ) )
= $true )
| ( ( epsoo @ SV25 @ ( epso @ ( epsoo @ SV25 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[178]) ).
thf(229,plain,
! [SV59: $o > $o,SV27: ( $o > $o ) > $o] :
( ( ( ~ ( SV27 @ SV59 ) )
= $true )
| ( ( SV27 @ ( epsoo @ SV27 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[179]) ).
thf(230,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( SV27
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( SV27 @ ( epsoo @ SV27 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[179]) ).
thf(231,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( SV27
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( SV27 @ ( epsoo @ SV27 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[179]) ).
thf(232,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( SV27
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( SV27 @ ( epsoo @ SV27 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[179]) ).
thf(233,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( SV27
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( SV27 @ ( epsoo @ SV27 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[179]) ).
thf(238,plain,
! [SV30: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV30 @ $true ) )
= $true )
| ( ( epsoo @ SV30 @ ( epso @ ( epsoo @ SV30 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[181]) ).
thf(239,plain,
! [SV30: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV30 @ $false ) )
= $true )
| ( ( epsoo @ SV30 @ ( epso @ ( epsoo @ SV30 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[181]) ).
thf(240,plain,
! [SV63: $o > $o,SV32: ( $o > $o ) > $o] :
( ( ( ~ ( SV32 @ SV63 ) )
= $true )
| ( ( SV32 @ ( epsoo @ SV32 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[182]) ).
thf(241,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( SV32
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( SV32 @ ( epsoo @ SV32 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[182]) ).
thf(242,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( SV32
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( SV32 @ ( epsoo @ SV32 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[182]) ).
thf(243,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( SV32
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( SV32 @ ( epsoo @ SV32 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[182]) ).
thf(244,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( SV32
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( SV32 @ ( epsoo @ SV32 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[182]) ).
thf(245,plain,
! [SV65: $o] :
( ( ( ~ SV65 )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[183]) ).
thf(246,plain,
( ( ( ~ $true )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[183]) ).
thf(248,plain,
! [SV66: $o,SV35: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV35 @ SV66 ) )
= $true )
| ( ( epsoo @ SV35 @ ( epso @ ( epsoo @ SV35 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[184]) ).
thf(249,plain,
! [SV35: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV35 @ $true ) )
= $true )
| ( ( epsoo @ SV35 @ ( epso @ ( epsoo @ SV35 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[184]) ).
thf(250,plain,
! [SV35: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV35 @ $false ) )
= $true )
| ( ( epsoo @ SV35 @ ( epso @ ( epsoo @ SV35 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[184]) ).
thf(251,plain,
! [SV67: $o > $o,SV37: ( $o > $o ) > $o] :
( ( ( ~ ( SV37 @ SV67 ) )
= $true )
| ( ( SV37 @ ( epsoo @ SV37 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[185]) ).
thf(252,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( SV37
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( SV37 @ ( epsoo @ SV37 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[185]) ).
thf(253,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( SV37
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( SV37 @ ( epsoo @ SV37 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[185]) ).
thf(254,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( SV37
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( SV37 @ ( epsoo @ SV37 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[185]) ).
thf(255,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( SV37
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( SV37 @ ( epsoo @ SV37 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[185]) ).
thf(256,plain,
! [SV69: $o] :
( ( ( ~ ~ SV69 )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[186]) ).
thf(258,plain,
( ( ( ~ ~ $false )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[186]) ).
thf(259,plain,
! [SV70: $o,SV40: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV40 @ SV70 ) )
= $true )
| ( ( epsoo @ SV40 @ ( epso @ ( epsoo @ SV40 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[187]) ).
thf(260,plain,
! [SV40: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV40 @ $true ) )
= $true )
| ( ( epsoo @ SV40 @ ( epso @ ( epsoo @ SV40 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[187]) ).
thf(261,plain,
! [SV40: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV40 @ $false ) )
= $true )
| ( ( epsoo @ SV40 @ ( epso @ ( epsoo @ SV40 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[187]) ).
thf(262,plain,
! [SV71: $o > $o,SV42: ( $o > $o ) > $o] :
( ( ( ~ ( SV42 @ SV71 ) )
= $true )
| ( ( SV42 @ ( epsoo @ SV42 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[188]) ).
thf(263,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( SV42
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( SV42 @ ( epsoo @ SV42 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[188]) ).
thf(264,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( SV42
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( SV42 @ ( epsoo @ SV42 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[188]) ).
thf(265,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( SV42
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( SV42 @ ( epsoo @ SV42 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[188]) ).
thf(266,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( SV42
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( SV42 @ ( epsoo @ SV42 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[188]) ).
thf(267,plain,
! [SV73: $o] :
( ( ( ~ ~ SV73 )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[189]) ).
thf(269,plain,
( ( ( ~ ~ $false )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[189]) ).
thf(270,plain,
! [SV74: $o] :
( ( ( ~ ~ SV74 )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[190]) ).
thf(272,plain,
( ( ( ~ ~ $false )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[190]) ).
thf(273,plain,
! [SV75: $o] :
( ( ( ~ ~ SV75 )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[191]) ).
thf(275,plain,
( ( ( ~ ~ $false )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[191]) ).
thf(276,plain,
! [SV46: $o > $o] :
( ( ( epso @ SV46 )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(286,plain,
! [SV50: $o] :
( ( SV50 = $false )
| ( ( epso
@ ^ [SV11: $o] : SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(287,plain,
( ( $true = $false )
| ( ( epso
@ ^ [SV11: $o] : SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(289,plain,
! [SV51: $o] :
( ( ( ~ SV51 )
= $false )
| ( ( ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(291,plain,
( ( ( ~ $false )
= $false )
| ( ( ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(292,plain,
! [SV52: $o,SV17: $o > $o] :
( ( ( SV17 @ SV52 )
= $false )
| ( ( SV17 @ ( epso @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(293,plain,
! [SV17: $o > $o] :
( ( ( SV17 @ $true )
= $false )
| ( ( SV17 @ ( epso @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(294,plain,
! [SV17: $o > $o] :
( ( ( SV17 @ $false )
= $false )
| ( ( SV17 @ ( epso @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(295,plain,
! [SV53: $o,SV19: $o > $o] :
( ( ( SV19 @ SV53 )
= $false )
| ( ( SV19 @ ( epso @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(296,plain,
! [SV19: $o > $o] :
( ( ( SV19 @ $true )
= $false )
| ( ( SV19 @ ( epso @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(297,plain,
! [SV19: $o > $o] :
( ( ( SV19 @ $false )
= $false )
| ( ( SV19 @ ( epso @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(298,plain,
! [SV54: $o] :
( ( SV54 = $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(299,plain,
( ( $true = $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(301,plain,
! [SV55: $o] :
( ( SV55 = $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(302,plain,
( ( $true = $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(304,plain,
! [SV56: $o] :
( ( SV56 = $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(305,plain,
( ( $true = $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(310,plain,
! [SV58: $o,SV25: ( $o > $o ) > $o] :
( ( ( epsoo @ SV25 @ SV58 )
= $false )
| ( ( epsoo @ SV25 @ ( epso @ ( epsoo @ SV25 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(313,plain,
! [SV59: $o > $o,SV27: ( $o > $o ) > $o] :
( ( ( SV27 @ SV59 )
= $false )
| ( ( SV27 @ ( epsoo @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(314,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( SV27
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV27 @ ( epsoo @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(315,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( SV27
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV27 @ ( epsoo @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(316,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( SV27
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV27 @ ( epsoo @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(317,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( SV27
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV27 @ ( epsoo @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(322,plain,
! [SV30: ( $o > $o ) > $o] :
( ( ( epsoo @ SV30 @ $true )
= $false )
| ( ( epsoo @ SV30 @ ( epso @ ( epsoo @ SV30 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(323,plain,
! [SV30: ( $o > $o ) > $o] :
( ( ( epsoo @ SV30 @ $false )
= $false )
| ( ( epsoo @ SV30 @ ( epso @ ( epsoo @ SV30 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(324,plain,
! [SV63: $o > $o,SV32: ( $o > $o ) > $o] :
( ( ( SV32 @ SV63 )
= $false )
| ( ( SV32 @ ( epsoo @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(325,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( SV32
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV32 @ ( epsoo @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(326,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( SV32
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV32 @ ( epsoo @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(327,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( SV32
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV32 @ ( epsoo @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(328,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( SV32
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV32 @ ( epsoo @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(329,plain,
! [SV65: $o] :
( ( SV65 = $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(330,plain,
( ( $true = $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(332,plain,
! [SV66: $o,SV35: ( $o > $o ) > $o] :
( ( ( epsoo @ SV35 @ SV66 )
= $false )
| ( ( epsoo @ SV35 @ ( epso @ ( epsoo @ SV35 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(333,plain,
! [SV35: ( $o > $o ) > $o] :
( ( ( epsoo @ SV35 @ $true )
= $false )
| ( ( epsoo @ SV35 @ ( epso @ ( epsoo @ SV35 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(334,plain,
! [SV35: ( $o > $o ) > $o] :
( ( ( epsoo @ SV35 @ $false )
= $false )
| ( ( epsoo @ SV35 @ ( epso @ ( epsoo @ SV35 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(335,plain,
! [SV67: $o > $o,SV37: ( $o > $o ) > $o] :
( ( ( SV37 @ SV67 )
= $false )
| ( ( SV37 @ ( epsoo @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(336,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( SV37
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV37 @ ( epsoo @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(337,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( SV37
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV37 @ ( epsoo @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(338,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( SV37
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV37 @ ( epsoo @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(339,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( SV37
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV37 @ ( epsoo @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(340,plain,
! [SV69: $o] :
( ( ( ~ SV69 )
= $false )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(342,plain,
( ( ( ~ $false )
= $false )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(343,plain,
! [SV70: $o,SV40: ( $o > $o ) > $o] :
( ( ( epsoo @ SV40 @ SV70 )
= $false )
| ( ( epsoo @ SV40 @ ( epso @ ( epsoo @ SV40 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(344,plain,
! [SV40: ( $o > $o ) > $o] :
( ( ( epsoo @ SV40 @ $true )
= $false )
| ( ( epsoo @ SV40 @ ( epso @ ( epsoo @ SV40 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(345,plain,
! [SV40: ( $o > $o ) > $o] :
( ( ( epsoo @ SV40 @ $false )
= $false )
| ( ( epsoo @ SV40 @ ( epso @ ( epsoo @ SV40 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(346,plain,
! [SV71: $o > $o,SV42: ( $o > $o ) > $o] :
( ( ( SV42 @ SV71 )
= $false )
| ( ( SV42 @ ( epsoo @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(347,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( SV42
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV42 @ ( epsoo @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(348,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( SV42
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV42 @ ( epsoo @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(349,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( SV42
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV42 @ ( epsoo @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(350,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( SV42
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV42 @ ( epsoo @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(351,plain,
! [SV73: $o] :
( ( ( ~ SV73 )
= $false )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(353,plain,
( ( ( ~ $false )
= $false )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(354,plain,
! [SV74: $o] :
( ( ( ~ SV74 )
= $false )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(356,plain,
( ( ( ~ $false )
= $false )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(357,plain,
! [SV75: $o] :
( ( ( ~ SV75 )
= $false )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(359,plain,
( ( ( ~ $false )
= $false )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(360,plain,
! [SV51: $o] :
( ( SV51 = $true )
| ( ( ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(362,plain,
( ( $false = $true )
| ( ( ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(363,plain,
! [SV69: $o] :
( ( SV69 = $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[340]) ).
thf(365,plain,
( ( $false = $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(366,plain,
! [SV73: $o] :
( ( SV73 = $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(368,plain,
( ( $false = $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(369,plain,
! [SV74: $o] :
( ( SV74 = $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(371,plain,
( ( $false = $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(372,plain,
! [SV75: $o] :
( ( SV75 = $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(374,plain,
( ( $false = $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(375,plain,
! [SV51: $o] :
( ( ( epso
@ ^ [SV11: $o] : ~ SV11 )
= $false )
| ( SV51 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(377,plain,
( ( ( epso
@ ^ [SV11: $o] : ~ SV11 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(378,plain,
! [SV69: $o] :
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( SV69 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(380,plain,
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(381,plain,
! [SV73: $o] :
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( SV73 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(383,plain,
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(384,plain,
! [SV74: $o] :
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( SV74 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(386,plain,
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(387,plain,
! [SV75: $o] :
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( SV75 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(389,plain,
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(390,plain,
! [SV50: $o] :
( ( SV50 = $false )
| ( ( SV50
= ( ~ ( epso
@ ^ [SV11: $o] : SV11 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[286]) ).
thf(391,plain,
! [SV51: $o] :
( ( SV51 = $true )
| ( ( SV51
= ( ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[375]) ).
thf(392,plain,
! [SV1: $o > $o] :
( ( ( SV1 @ $true )
= $false )
| ( ( ( SV1 @ $true )
= ( ~ ( SV1 @ ( epso @ SV1 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[51]) ).
thf(393,plain,
! [SV52: $o,SV17: $o > $o] :
( ( ( SV17 @ SV52 )
= $false )
| ( ( ( SV17 @ SV52 )
= ( ~ ( SV17 @ ( epso @ SV17 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[292]) ).
thf(394,plain,
! [SV17: $o > $o] :
( ( ( SV17 @ $true )
= $false )
| ( ( ( SV17 @ $true )
= ( ~ ( SV17 @ ( epso @ SV17 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[293]) ).
thf(395,plain,
! [SV17: $o > $o] :
( ( ( SV17 @ $false )
= $false )
| ( ( ( SV17 @ $false )
= ( ~ ( SV17 @ ( epso @ SV17 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[294]) ).
thf(396,plain,
! [SV1: $o > $o] :
( ( ( SV1 @ $false )
= $false )
| ( ( ( SV1 @ $false )
= ( ~ ( SV1 @ ( epso @ SV1 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[52]) ).
thf(397,plain,
! [SV53: $o,SV19: $o > $o] :
( ( ( SV19 @ SV53 )
= $false )
| ( ( ( SV19 @ SV53 )
= ( ~ ( SV19 @ ( epso @ SV19 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[295]) ).
thf(398,plain,
! [SV19: $o > $o] :
( ( ( SV19 @ $true )
= $false )
| ( ( ( SV19 @ $true )
= ( ~ ( SV19 @ ( epso @ SV19 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[296]) ).
thf(399,plain,
! [SV19: $o > $o] :
( ( ( SV19 @ $false )
= $false )
| ( ( ( SV19 @ $false )
= ( ~ ( SV19 @ ( epso @ SV19 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[297]) ).
thf(400,plain,
! [SV7: $o] :
( ( SV7 = $false )
| ( ( SV7
= ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[59]) ).
thf(401,plain,
! [SV54: $o] :
( ( SV54 = $false )
| ( ( SV54
= ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[298]) ).
thf(402,plain,
! [SV55: $o] :
( ( SV55 = $false )
| ( ( SV55
= ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[301]) ).
thf(403,plain,
! [SV56: $o] :
( ( SV56 = $false )
| ( ( SV56
= ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[304]) ).
thf(404,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : $true )
= $false )
| ( ( ( SV3
@ ^ [SX0: $o] : $true )
= ( ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[66]) ).
thf(405,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : $true )
= $false )
| ( ( ( SV3
@ ^ [SX0: $o] : $true )
= ( ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[66]) ).
thf(406,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : $true )
= $false )
| ( ( ( SV3
@ ^ [SX0: $o] : $true )
= ( ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[66]) ).
thf(407,plain,
! [SV59: $o > $o,SV27: ( $o > $o ) > $o] :
( ( ( SV27 @ SV59 )
= $false )
| ( ( ( SV27 @ SV59 )
= ( ~ ( SV27 @ ( epsoo @ SV27 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[313]) ).
thf(408,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( SV27
@ ^ [SX0: $o] : $true )
= $false )
| ( ( ( SV27
@ ^ [SX0: $o] : $true )
= ( ~ ( SV27 @ ( epsoo @ SV27 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[314]) ).
thf(409,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( SV27
@ ^ [SX0: $o] : $false )
= $false )
| ( ( ( SV27
@ ^ [SX0: $o] : $false )
= ( ~ ( SV27 @ ( epsoo @ SV27 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[315]) ).
thf(410,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( SV27
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( ( SV27
@ ^ [SX0: $o] : SX0 )
= ( ~ ( SV27 @ ( epsoo @ SV27 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[316]) ).
thf(411,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( SV27
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( ( SV27
@ ^ [SX0: $o] : ~ SX0 )
= ( ~ ( SV27 @ ( epsoo @ SV27 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[317]) ).
thf(412,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : $false )
= $false )
| ( ( ( SV3
@ ^ [SX0: $o] : $false )
= ( ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[67]) ).
thf(413,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : $false )
= $false )
| ( ( ( SV3
@ ^ [SX0: $o] : $false )
= ( ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[67]) ).
thf(414,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : $false )
= $false )
| ( ( ( SV3
@ ^ [SX0: $o] : $false )
= ( ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[67]) ).
thf(415,plain,
! [SV63: $o > $o,SV32: ( $o > $o ) > $o] :
( ( ( SV32 @ SV63 )
= $false )
| ( ( ( SV32 @ SV63 )
= ( ~ ( SV32 @ ( epsoo @ SV32 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[324]) ).
thf(416,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( SV32
@ ^ [SX0: $o] : $true )
= $false )
| ( ( ( SV32
@ ^ [SX0: $o] : $true )
= ( ~ ( SV32 @ ( epsoo @ SV32 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[325]) ).
thf(417,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( SV32
@ ^ [SX0: $o] : $false )
= $false )
| ( ( ( SV32
@ ^ [SX0: $o] : $false )
= ( ~ ( SV32 @ ( epsoo @ SV32 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[326]) ).
thf(418,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( SV32
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( ( SV32
@ ^ [SX0: $o] : SX0 )
= ( ~ ( SV32 @ ( epsoo @ SV32 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[327]) ).
thf(419,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( SV32
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( ( SV32
@ ^ [SX0: $o] : ~ SX0 )
= ( ~ ( SV32 @ ( epsoo @ SV32 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[328]) ).
thf(420,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( ( SV3
@ ^ [SX0: $o] : SX0 )
= ( ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[68]) ).
thf(421,plain,
! [SV65: $o] :
( ( SV65 = $false )
| ( ( SV65
= ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[329]) ).
thf(422,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( ( SV3
@ ^ [SX0: $o] : SX0 )
= ( ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[68]) ).
thf(423,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( ( SV3
@ ^ [SX0: $o] : SX0 )
= ( ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[68]) ).
thf(424,plain,
! [SV67: $o > $o,SV37: ( $o > $o ) > $o] :
( ( ( SV37 @ SV67 )
= $false )
| ( ( ( SV37 @ SV67 )
= ( ~ ( SV37 @ ( epsoo @ SV37 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[335]) ).
thf(425,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( SV37
@ ^ [SX0: $o] : $true )
= $false )
| ( ( ( SV37
@ ^ [SX0: $o] : $true )
= ( ~ ( SV37 @ ( epsoo @ SV37 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[336]) ).
thf(426,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( SV37
@ ^ [SX0: $o] : $false )
= $false )
| ( ( ( SV37
@ ^ [SX0: $o] : $false )
= ( ~ ( SV37 @ ( epsoo @ SV37 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[337]) ).
thf(427,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( SV37
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( ( SV37
@ ^ [SX0: $o] : SX0 )
= ( ~ ( SV37 @ ( epsoo @ SV37 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[338]) ).
thf(428,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( SV37
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( ( SV37
@ ^ [SX0: $o] : ~ SX0 )
= ( ~ ( SV37 @ ( epsoo @ SV37 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[339]) ).
thf(429,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= ( ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[69]) ).
thf(430,plain,
! [SV69: $o] :
( ( SV69 = $true )
| ( ( SV69
= ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[378]) ).
thf(431,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= ( ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[69]) ).
thf(432,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= ( ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[69]) ).
thf(433,plain,
! [SV71: $o > $o,SV42: ( $o > $o ) > $o] :
( ( ( SV42 @ SV71 )
= $false )
| ( ( ( SV42 @ SV71 )
= ( ~ ( SV42 @ ( epsoo @ SV42 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[346]) ).
thf(434,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( SV42
@ ^ [SX0: $o] : $true )
= $false )
| ( ( ( SV42
@ ^ [SX0: $o] : $true )
= ( ~ ( SV42 @ ( epsoo @ SV42 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[347]) ).
thf(435,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( SV42
@ ^ [SX0: $o] : $false )
= $false )
| ( ( ( SV42
@ ^ [SX0: $o] : $false )
= ( ~ ( SV42 @ ( epsoo @ SV42 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[348]) ).
thf(436,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( SV42
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( ( SV42
@ ^ [SX0: $o] : SX0 )
= ( ~ ( SV42 @ ( epsoo @ SV42 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[349]) ).
thf(437,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( SV42
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( ( SV42
@ ^ [SX0: $o] : ~ SX0 )
= ( ~ ( SV42 @ ( epsoo @ SV42 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[350]) ).
thf(438,plain,
! [SV8: $o] :
( ( SV8 = $true )
| ( ( SV8
= ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[73]) ).
thf(439,plain,
! [SV73: $o] :
( ( SV73 = $true )
| ( ( SV73
= ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[381]) ).
thf(440,plain,
! [SV74: $o] :
( ( SV74 = $true )
| ( ( SV74
= ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[384]) ).
thf(441,plain,
! [SV75: $o] :
( ( SV75 = $true )
| ( ( SV75
= ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[387]) ).
thf(442,plain,
! [SV50: $o] :
( ( ( ~ ( SV50
| ~ ( epso
@ ^ [SV11: $o] : SV11 ) )
| ~ ( ~ SV50
| ~ ~ ( epso
@ ^ [SV11: $o] : SV11 ) ) )
= $false )
| ( SV50 = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[390]) ).
thf(443,plain,
! [SV50: $o] :
( ( ( SV50
= ( ~ ( epso
@ ^ [SV11: $o] : SV11 ) ) )
= $false )
| ( SV50 = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[390]) ).
thf(444,plain,
! [SV51: $o] :
( ( ( ~ ( SV51
| ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
| ~ ( ~ SV51
| ~ ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) ) )
= $false )
| ( SV51 = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[391]) ).
thf(445,plain,
! [SV51: $o] :
( ( ( SV51
= ( ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) ) )
= $false )
| ( SV51 = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[391]) ).
thf(446,plain,
! [SV1: $o > $o] :
( ( ( ~ ( ( SV1 @ $true )
| ~ ( SV1 @ ( epso @ SV1 ) ) )
| ~ ( ~ ( SV1 @ $true )
| ~ ~ ( SV1 @ ( epso @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ $true )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[392]) ).
thf(448,plain,
! [SV52: $o,SV17: $o > $o] :
( ( ( ~ ( ( SV17 @ SV52 )
| ~ ( SV17 @ ( epso @ SV17 ) ) )
| ~ ( ~ ( SV17 @ SV52 )
| ~ ~ ( SV17 @ ( epso @ SV17 ) ) ) )
= $false )
| ( ( SV17 @ SV52 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[393]) ).
thf(450,plain,
! [SV17: $o > $o] :
( ( ( ~ ( ( SV17 @ $true )
| ~ ( SV17 @ ( epso @ SV17 ) ) )
| ~ ( ~ ( SV17 @ $true )
| ~ ~ ( SV17 @ ( epso @ SV17 ) ) ) )
= $false )
| ( ( SV17 @ $true )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[394]) ).
thf(452,plain,
! [SV17: $o > $o] :
( ( ( ~ ( ( SV17 @ $false )
| ~ ( SV17 @ ( epso @ SV17 ) ) )
| ~ ( ~ ( SV17 @ $false )
| ~ ~ ( SV17 @ ( epso @ SV17 ) ) ) )
= $false )
| ( ( SV17 @ $false )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[395]) ).
thf(454,plain,
! [SV1: $o > $o] :
( ( ( ~ ( ( SV1 @ $false )
| ~ ( SV1 @ ( epso @ SV1 ) ) )
| ~ ( ~ ( SV1 @ $false )
| ~ ~ ( SV1 @ ( epso @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ $false )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[396]) ).
thf(456,plain,
! [SV53: $o,SV19: $o > $o] :
( ( ( ~ ( ( SV19 @ SV53 )
| ~ ( SV19 @ ( epso @ SV19 ) ) )
| ~ ( ~ ( SV19 @ SV53 )
| ~ ~ ( SV19 @ ( epso @ SV19 ) ) ) )
= $false )
| ( ( SV19 @ SV53 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[397]) ).
thf(458,plain,
! [SV19: $o > $o] :
( ( ( ~ ( ( SV19 @ $true )
| ~ ( SV19 @ ( epso @ SV19 ) ) )
| ~ ( ~ ( SV19 @ $true )
| ~ ~ ( SV19 @ ( epso @ SV19 ) ) ) )
= $false )
| ( ( SV19 @ $true )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[398]) ).
thf(460,plain,
! [SV19: $o > $o] :
( ( ( ~ ( ( SV19 @ $false )
| ~ ( SV19 @ ( epso @ SV19 ) ) )
| ~ ( ~ ( SV19 @ $false )
| ~ ~ ( SV19 @ ( epso @ SV19 ) ) ) )
= $false )
| ( ( SV19 @ $false )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[399]) ).
thf(462,plain,
! [SV7: $o] :
( ( ( ~ ( SV7
| ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
| ~ ( ~ SV7
| ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) ) )
= $false )
| ( SV7 = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[400]) ).
thf(463,plain,
! [SV7: $o] :
( ( ( SV7
= ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) ) )
= $false )
| ( SV7 = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[400]) ).
thf(464,plain,
! [SV54: $o] :
( ( ( ~ ( SV54
| ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
| ~ ( ~ SV54
| ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) ) )
= $false )
| ( SV54 = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[401]) ).
thf(465,plain,
! [SV54: $o] :
( ( ( SV54
= ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) ) )
= $false )
| ( SV54 = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[401]) ).
thf(466,plain,
! [SV55: $o] :
( ( ( ~ ( SV55
| ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
| ~ ( ~ SV55
| ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) ) )
= $false )
| ( SV55 = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[402]) ).
thf(467,plain,
! [SV55: $o] :
( ( ( SV55
= ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) ) )
= $false )
| ( SV55 = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[402]) ).
thf(468,plain,
! [SV56: $o] :
( ( ( ~ ( SV56
| ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
| ~ ( ~ SV56
| ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) ) )
= $false )
| ( SV56 = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[403]) ).
thf(469,plain,
! [SV56: $o] :
( ( ( SV56
= ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) ) )
= $false )
| ( SV56 = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[403]) ).
thf(470,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV3
@ ^ [SX0: $o] : $true )
| ~ ( SV3 @ ( epsoo @ SV3 ) ) )
| ~ ( ~ ( SV3
@ ^ [SX0: $o] : $true )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[404]) ).
thf(472,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV3
@ ^ [SX0: $o] : $true )
| ~ ( SV3 @ ( epsoo @ SV3 ) ) )
| ~ ( ~ ( SV3
@ ^ [SX0: $o] : $true )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[405]) ).
thf(474,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV3
@ ^ [SX0: $o] : $true )
| ~ ( SV3 @ ( epsoo @ SV3 ) ) )
| ~ ( ~ ( SV3
@ ^ [SX0: $o] : $true )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[406]) ).
thf(476,plain,
! [SV59: $o > $o,SV27: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV27 @ SV59 )
| ~ ( SV27 @ ( epsoo @ SV27 ) ) )
| ~ ( ~ ( SV27 @ SV59 )
| ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) ) )
= $false )
| ( ( SV27 @ SV59 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[407]) ).
thf(478,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV27
@ ^ [SX0: $o] : $true )
| ~ ( SV27 @ ( epsoo @ SV27 ) ) )
| ~ ( ~ ( SV27
@ ^ [SX0: $o] : $true )
| ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) ) )
= $false )
| ( ( SV27
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[408]) ).
thf(480,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV27
@ ^ [SX0: $o] : $false )
| ~ ( SV27 @ ( epsoo @ SV27 ) ) )
| ~ ( ~ ( SV27
@ ^ [SX0: $o] : $false )
| ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) ) )
= $false )
| ( ( SV27
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[409]) ).
thf(482,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV27
@ ^ [SX0: $o] : SX0 )
| ~ ( SV27 @ ( epsoo @ SV27 ) ) )
| ~ ( ~ ( SV27
@ ^ [SX0: $o] : SX0 )
| ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) ) )
= $false )
| ( ( SV27
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[410]) ).
thf(484,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV27
@ ^ [SX0: $o] : ~ SX0 )
| ~ ( SV27 @ ( epsoo @ SV27 ) ) )
| ~ ( ~ ( SV27
@ ^ [SX0: $o] : ~ SX0 )
| ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) ) )
= $false )
| ( ( SV27
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[411]) ).
thf(486,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV3
@ ^ [SX0: $o] : $false )
| ~ ( SV3 @ ( epsoo @ SV3 ) ) )
| ~ ( ~ ( SV3
@ ^ [SX0: $o] : $false )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[412]) ).
thf(488,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV3
@ ^ [SX0: $o] : $false )
| ~ ( SV3 @ ( epsoo @ SV3 ) ) )
| ~ ( ~ ( SV3
@ ^ [SX0: $o] : $false )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[413]) ).
thf(490,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV3
@ ^ [SX0: $o] : $false )
| ~ ( SV3 @ ( epsoo @ SV3 ) ) )
| ~ ( ~ ( SV3
@ ^ [SX0: $o] : $false )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[414]) ).
thf(492,plain,
! [SV63: $o > $o,SV32: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV32 @ SV63 )
| ~ ( SV32 @ ( epsoo @ SV32 ) ) )
| ~ ( ~ ( SV32 @ SV63 )
| ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) ) )
= $false )
| ( ( SV32 @ SV63 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[415]) ).
thf(494,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV32
@ ^ [SX0: $o] : $true )
| ~ ( SV32 @ ( epsoo @ SV32 ) ) )
| ~ ( ~ ( SV32
@ ^ [SX0: $o] : $true )
| ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) ) )
= $false )
| ( ( SV32
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[416]) ).
thf(496,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV32
@ ^ [SX0: $o] : $false )
| ~ ( SV32 @ ( epsoo @ SV32 ) ) )
| ~ ( ~ ( SV32
@ ^ [SX0: $o] : $false )
| ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) ) )
= $false )
| ( ( SV32
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[417]) ).
thf(498,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV32
@ ^ [SX0: $o] : SX0 )
| ~ ( SV32 @ ( epsoo @ SV32 ) ) )
| ~ ( ~ ( SV32
@ ^ [SX0: $o] : SX0 )
| ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) ) )
= $false )
| ( ( SV32
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[418]) ).
thf(500,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV32
@ ^ [SX0: $o] : ~ SX0 )
| ~ ( SV32 @ ( epsoo @ SV32 ) ) )
| ~ ( ~ ( SV32
@ ^ [SX0: $o] : ~ SX0 )
| ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) ) )
= $false )
| ( ( SV32
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[419]) ).
thf(502,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV3
@ ^ [SX0: $o] : SX0 )
| ~ ( SV3 @ ( epsoo @ SV3 ) ) )
| ~ ( ~ ( SV3
@ ^ [SX0: $o] : SX0 )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[420]) ).
thf(504,plain,
! [SV65: $o] :
( ( ( ~ ( SV65
| ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
| ~ ( ~ SV65
| ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) ) )
= $false )
| ( SV65 = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[421]) ).
thf(505,plain,
! [SV65: $o] :
( ( ( SV65
= ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) ) )
= $false )
| ( SV65 = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[421]) ).
thf(506,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV3
@ ^ [SX0: $o] : SX0 )
| ~ ( SV3 @ ( epsoo @ SV3 ) ) )
| ~ ( ~ ( SV3
@ ^ [SX0: $o] : SX0 )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[422]) ).
thf(508,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV3
@ ^ [SX0: $o] : SX0 )
| ~ ( SV3 @ ( epsoo @ SV3 ) ) )
| ~ ( ~ ( SV3
@ ^ [SX0: $o] : SX0 )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[423]) ).
thf(510,plain,
! [SV67: $o > $o,SV37: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV37 @ SV67 )
| ~ ( SV37 @ ( epsoo @ SV37 ) ) )
| ~ ( ~ ( SV37 @ SV67 )
| ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) ) )
= $false )
| ( ( SV37 @ SV67 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[424]) ).
thf(512,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV37
@ ^ [SX0: $o] : $true )
| ~ ( SV37 @ ( epsoo @ SV37 ) ) )
| ~ ( ~ ( SV37
@ ^ [SX0: $o] : $true )
| ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) ) )
= $false )
| ( ( SV37
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[425]) ).
thf(514,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV37
@ ^ [SX0: $o] : $false )
| ~ ( SV37 @ ( epsoo @ SV37 ) ) )
| ~ ( ~ ( SV37
@ ^ [SX0: $o] : $false )
| ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) ) )
= $false )
| ( ( SV37
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[426]) ).
thf(516,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV37
@ ^ [SX0: $o] : SX0 )
| ~ ( SV37 @ ( epsoo @ SV37 ) ) )
| ~ ( ~ ( SV37
@ ^ [SX0: $o] : SX0 )
| ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) ) )
= $false )
| ( ( SV37
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[427]) ).
thf(518,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV37
@ ^ [SX0: $o] : ~ SX0 )
| ~ ( SV37 @ ( epsoo @ SV37 ) ) )
| ~ ( ~ ( SV37
@ ^ [SX0: $o] : ~ SX0 )
| ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) ) )
= $false )
| ( ( SV37
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[428]) ).
thf(520,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
| ~ ( SV3 @ ( epsoo @ SV3 ) ) )
| ~ ( ~ ( SV3
@ ^ [SX0: $o] : ~ SX0 )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[429]) ).
thf(522,plain,
! [SV69: $o] :
( ( ( ~ ( SV69
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
| ~ ( ~ SV69
| ~ ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) ) )
= $false )
| ( SV69 = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[430]) ).
thf(523,plain,
! [SV69: $o] :
( ( ( SV69
= ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) ) )
= $false )
| ( SV69 = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[430]) ).
thf(524,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
| ~ ( SV3 @ ( epsoo @ SV3 ) ) )
| ~ ( ~ ( SV3
@ ^ [SX0: $o] : ~ SX0 )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[431]) ).
thf(526,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
| ~ ( SV3 @ ( epsoo @ SV3 ) ) )
| ~ ( ~ ( SV3
@ ^ [SX0: $o] : ~ SX0 )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[432]) ).
thf(528,plain,
! [SV71: $o > $o,SV42: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV42 @ SV71 )
| ~ ( SV42 @ ( epsoo @ SV42 ) ) )
| ~ ( ~ ( SV42 @ SV71 )
| ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) ) )
= $false )
| ( ( SV42 @ SV71 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[433]) ).
thf(530,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV42
@ ^ [SX0: $o] : $true )
| ~ ( SV42 @ ( epsoo @ SV42 ) ) )
| ~ ( ~ ( SV42
@ ^ [SX0: $o] : $true )
| ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) ) )
= $false )
| ( ( SV42
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[434]) ).
thf(532,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV42
@ ^ [SX0: $o] : $false )
| ~ ( SV42 @ ( epsoo @ SV42 ) ) )
| ~ ( ~ ( SV42
@ ^ [SX0: $o] : $false )
| ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) ) )
= $false )
| ( ( SV42
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[435]) ).
thf(534,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV42
@ ^ [SX0: $o] : SX0 )
| ~ ( SV42 @ ( epsoo @ SV42 ) ) )
| ~ ( ~ ( SV42
@ ^ [SX0: $o] : SX0 )
| ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) ) )
= $false )
| ( ( SV42
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[436]) ).
thf(536,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( ( SV42
@ ^ [SX0: $o] : ~ SX0 )
| ~ ( SV42 @ ( epsoo @ SV42 ) ) )
| ~ ( ~ ( SV42
@ ^ [SX0: $o] : ~ SX0 )
| ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) ) )
= $false )
| ( ( SV42
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[437]) ).
thf(538,plain,
! [SV8: $o] :
( ( ( ~ ( SV8
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
| ~ ( ~ SV8
| ~ ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) ) )
= $false )
| ( SV8 = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[438]) ).
thf(539,plain,
! [SV8: $o] :
( ( ( SV8
= ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) ) )
= $false )
| ( SV8 = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[438]) ).
thf(540,plain,
! [SV73: $o] :
( ( ( ~ ( SV73
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
| ~ ( ~ SV73
| ~ ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) ) )
= $false )
| ( SV73 = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[439]) ).
thf(541,plain,
! [SV73: $o] :
( ( ( SV73
= ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) ) )
= $false )
| ( SV73 = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[439]) ).
thf(542,plain,
! [SV74: $o] :
( ( ( ~ ( SV74
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
| ~ ( ~ SV74
| ~ ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) ) )
= $false )
| ( SV74 = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[440]) ).
thf(543,plain,
! [SV74: $o] :
( ( ( SV74
= ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) ) )
= $false )
| ( SV74 = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[440]) ).
thf(544,plain,
! [SV75: $o] :
( ( ( ~ ( SV75
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
| ~ ( ~ SV75
| ~ ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) ) )
= $false )
| ( SV75 = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[441]) ).
thf(545,plain,
! [SV75: $o] :
( ( ( SV75
= ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) ) )
= $false )
| ( SV75 = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[441]) ).
thf(547,plain,
! [SV50: $o] :
( ( ( ~ ( ~ SV50
| ~ ~ ( epso
@ ^ [SV11: $o] : SV11 ) ) )
= $false )
| ( SV50 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(548,plain,
! [SV51: $o] :
( ( ( ~ ( SV51
| ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) ) )
= $false )
| ( SV51 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[444]) ).
thf(551,plain,
! [SV1: $o > $o] :
( ( ( ~ ( ~ ( SV1 @ $true )
| ~ ~ ( SV1 @ ( epso @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[446]) ).
thf(553,plain,
! [SV52: $o,SV17: $o > $o] :
( ( ( ~ ( ~ ( SV17 @ SV52 )
| ~ ~ ( SV17 @ ( epso @ SV17 ) ) ) )
= $false )
| ( ( SV17 @ SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(555,plain,
! [SV17: $o > $o] :
( ( ( ~ ( ~ ( SV17 @ $true )
| ~ ~ ( SV17 @ ( epso @ SV17 ) ) ) )
= $false )
| ( ( SV17 @ $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(557,plain,
! [SV17: $o > $o] :
( ( ( ~ ( ~ ( SV17 @ $false )
| ~ ~ ( SV17 @ ( epso @ SV17 ) ) ) )
= $false )
| ( ( SV17 @ $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(559,plain,
! [SV1: $o > $o] :
( ( ( ~ ( ~ ( SV1 @ $false )
| ~ ~ ( SV1 @ ( epso @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[454]) ).
thf(561,plain,
! [SV53: $o,SV19: $o > $o] :
( ( ( ~ ( ~ ( SV19 @ SV53 )
| ~ ~ ( SV19 @ ( epso @ SV19 ) ) ) )
= $false )
| ( ( SV19 @ SV53 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[456]) ).
thf(563,plain,
! [SV19: $o > $o] :
( ( ( ~ ( ~ ( SV19 @ $true )
| ~ ~ ( SV19 @ ( epso @ SV19 ) ) ) )
= $false )
| ( ( SV19 @ $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[458]) ).
thf(565,plain,
! [SV19: $o > $o] :
( ( ( ~ ( ~ ( SV19 @ $false )
| ~ ~ ( SV19 @ ( epso @ SV19 ) ) ) )
= $false )
| ( ( SV19 @ $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(567,plain,
! [SV7: $o] :
( ( ( ~ ( ~ SV7
| ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) ) )
= $false )
| ( SV7 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[462]) ).
thf(569,plain,
! [SV54: $o] :
( ( ( ~ ( ~ SV54
| ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) ) )
= $false )
| ( SV54 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(571,plain,
! [SV55: $o] :
( ( ( ~ ( ~ SV55
| ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) ) )
= $false )
| ( SV55 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[466]) ).
thf(573,plain,
! [SV56: $o] :
( ( ( ~ ( ~ SV56
| ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) ) )
= $false )
| ( SV56 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[468]) ).
thf(575,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV3
@ ^ [SX0: $o] : $true )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[470]) ).
thf(577,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV3
@ ^ [SX0: $o] : $true )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(579,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV3
@ ^ [SX0: $o] : $true )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(581,plain,
! [SV59: $o > $o,SV27: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV27 @ SV59 )
| ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) ) )
= $false )
| ( ( SV27 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(583,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV27
@ ^ [SX0: $o] : $true )
| ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) ) )
= $false )
| ( ( SV27
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[478]) ).
thf(585,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV27
@ ^ [SX0: $o] : $false )
| ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) ) )
= $false )
| ( ( SV27
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(587,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV27
@ ^ [SX0: $o] : SX0 )
| ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) ) )
= $false )
| ( ( SV27
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(589,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV27
@ ^ [SX0: $o] : ~ SX0 )
| ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) ) )
= $false )
| ( ( SV27
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(591,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV3
@ ^ [SX0: $o] : $false )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(593,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV3
@ ^ [SX0: $o] : $false )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[488]) ).
thf(595,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV3
@ ^ [SX0: $o] : $false )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[490]) ).
thf(597,plain,
! [SV63: $o > $o,SV32: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV32 @ SV63 )
| ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) ) )
= $false )
| ( ( SV32 @ SV63 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(599,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV32
@ ^ [SX0: $o] : $true )
| ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) ) )
= $false )
| ( ( SV32
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[494]) ).
thf(601,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV32
@ ^ [SX0: $o] : $false )
| ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) ) )
= $false )
| ( ( SV32
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[496]) ).
thf(603,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV32
@ ^ [SX0: $o] : SX0 )
| ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) ) )
= $false )
| ( ( SV32
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[498]) ).
thf(605,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV32
@ ^ [SX0: $o] : ~ SX0 )
| ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) ) )
= $false )
| ( ( SV32
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[500]) ).
thf(607,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV3
@ ^ [SX0: $o] : SX0 )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[502]) ).
thf(609,plain,
! [SV65: $o] :
( ( ( ~ ( ~ SV65
| ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) ) )
= $false )
| ( SV65 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[504]) ).
thf(611,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV3
@ ^ [SX0: $o] : SX0 )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(613,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV3
@ ^ [SX0: $o] : SX0 )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[508]) ).
thf(615,plain,
! [SV67: $o > $o,SV37: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV37 @ SV67 )
| ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) ) )
= $false )
| ( ( SV37 @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(617,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV37
@ ^ [SX0: $o] : $true )
| ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) ) )
= $false )
| ( ( SV37
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(619,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV37
@ ^ [SX0: $o] : $false )
| ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) ) )
= $false )
| ( ( SV37
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[514]) ).
thf(621,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV37
@ ^ [SX0: $o] : SX0 )
| ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) ) )
= $false )
| ( ( SV37
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[516]) ).
thf(623,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV37
@ ^ [SX0: $o] : ~ SX0 )
| ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) ) )
= $false )
| ( ( SV37
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[518]) ).
thf(625,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV3
@ ^ [SX0: $o] : ~ SX0 )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[520]) ).
thf(626,plain,
! [SV69: $o] :
( ( ( ~ ( SV69
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) ) )
= $false )
| ( SV69 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[522]) ).
thf(629,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV3
@ ^ [SX0: $o] : ~ SX0 )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[524]) ).
thf(631,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV3
@ ^ [SX0: $o] : ~ SX0 )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(633,plain,
! [SV71: $o > $o,SV42: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV42 @ SV71 )
| ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) ) )
= $false )
| ( ( SV42 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[528]) ).
thf(635,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV42
@ ^ [SX0: $o] : $true )
| ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) ) )
= $false )
| ( ( SV42
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(637,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV42
@ ^ [SX0: $o] : $false )
| ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) ) )
= $false )
| ( ( SV42
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[532]) ).
thf(639,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV42
@ ^ [SX0: $o] : SX0 )
| ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) ) )
= $false )
| ( ( SV42
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[534]) ).
thf(641,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( ~ ( SV42
@ ^ [SX0: $o] : ~ SX0 )
| ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) ) )
= $false )
| ( ( SV42
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[536]) ).
thf(642,plain,
! [SV8: $o] :
( ( ( ~ ( SV8
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) ) )
= $false )
| ( SV8 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(644,plain,
! [SV73: $o] :
( ( ( ~ ( SV73
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) ) )
= $false )
| ( SV73 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(646,plain,
! [SV74: $o] :
( ( ( ~ ( SV74
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) ) )
= $false )
| ( SV74 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[542]) ).
thf(648,plain,
! [SV75: $o] :
( ( ( ~ ( SV75
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) ) )
= $false )
| ( SV75 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(651,plain,
! [SV50: $o] :
( ( ( ~ SV50
| ~ ~ ( epso
@ ^ [SV11: $o] : SV11 ) )
= $true )
| ( SV50 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(652,plain,
! [SV51: $o] :
( ( ( SV51
| ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true )
| ( SV51 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[548]) ).
thf(655,plain,
! [SV1: $o > $o] :
( ( ( ~ ( SV1 @ $true )
| ~ ~ ( SV1 @ ( epso @ SV1 ) ) )
= $true )
| ( ( SV1 @ $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(657,plain,
! [SV52: $o,SV17: $o > $o] :
( ( ( ~ ( SV17 @ SV52 )
| ~ ~ ( SV17 @ ( epso @ SV17 ) ) )
= $true )
| ( ( SV17 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[553]) ).
thf(659,plain,
! [SV17: $o > $o] :
( ( ( ~ ( SV17 @ $true )
| ~ ~ ( SV17 @ ( epso @ SV17 ) ) )
= $true )
| ( ( SV17 @ $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(661,plain,
! [SV17: $o > $o] :
( ( ( ~ ( SV17 @ $false )
| ~ ~ ( SV17 @ ( epso @ SV17 ) ) )
= $true )
| ( ( SV17 @ $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(663,plain,
! [SV1: $o > $o] :
( ( ( ~ ( SV1 @ $false )
| ~ ~ ( SV1 @ ( epso @ SV1 ) ) )
= $true )
| ( ( SV1 @ $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[559]) ).
thf(665,plain,
! [SV53: $o,SV19: $o > $o] :
( ( ( ~ ( SV19 @ SV53 )
| ~ ~ ( SV19 @ ( epso @ SV19 ) ) )
= $true )
| ( ( SV19 @ SV53 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(667,plain,
! [SV19: $o > $o] :
( ( ( ~ ( SV19 @ $true )
| ~ ~ ( SV19 @ ( epso @ SV19 ) ) )
= $true )
| ( ( SV19 @ $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(669,plain,
! [SV19: $o > $o] :
( ( ( ~ ( SV19 @ $false )
| ~ ~ ( SV19 @ ( epso @ SV19 ) ) )
= $true )
| ( ( SV19 @ $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(671,plain,
! [SV7: $o] :
( ( ( ~ SV7
| ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( SV7 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(673,plain,
! [SV54: $o] :
( ( ( ~ SV54
| ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( SV54 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[569]) ).
thf(675,plain,
! [SV55: $o] :
( ( ( ~ SV55
| ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( SV55 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[571]) ).
thf(677,plain,
! [SV56: $o] :
( ( ( ~ SV56
| ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( SV56 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[573]) ).
thf(679,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : $true )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[575]) ).
thf(681,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : $true )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[577]) ).
thf(683,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : $true )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[579]) ).
thf(685,plain,
! [SV59: $o > $o,SV27: ( $o > $o ) > $o] :
( ( ( ~ ( SV27 @ SV59 )
| ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) )
= $true )
| ( ( SV27 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[581]) ).
thf(687,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( SV27
@ ^ [SX0: $o] : $true )
| ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) )
= $true )
| ( ( SV27
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[583]) ).
thf(689,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( SV27
@ ^ [SX0: $o] : $false )
| ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) )
= $true )
| ( ( SV27
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[585]) ).
thf(691,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( SV27
@ ^ [SX0: $o] : SX0 )
| ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) )
= $true )
| ( ( SV27
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[587]) ).
thf(693,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( SV27
@ ^ [SX0: $o] : ~ SX0 )
| ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) )
= $true )
| ( ( SV27
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[589]) ).
thf(695,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : $false )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[591]) ).
thf(697,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : $false )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[593]) ).
thf(699,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : $false )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[595]) ).
thf(701,plain,
! [SV63: $o > $o,SV32: ( $o > $o ) > $o] :
( ( ( ~ ( SV32 @ SV63 )
| ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) )
= $true )
| ( ( SV32 @ SV63 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[597]) ).
thf(703,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( SV32
@ ^ [SX0: $o] : $true )
| ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) )
= $true )
| ( ( SV32
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[599]) ).
thf(705,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( SV32
@ ^ [SX0: $o] : $false )
| ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) )
= $true )
| ( ( SV32
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[601]) ).
thf(707,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( SV32
@ ^ [SX0: $o] : SX0 )
| ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) )
= $true )
| ( ( SV32
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[603]) ).
thf(709,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( SV32
@ ^ [SX0: $o] : ~ SX0 )
| ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) )
= $true )
| ( ( SV32
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[605]) ).
thf(711,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : SX0 )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[607]) ).
thf(713,plain,
! [SV65: $o] :
( ( ( ~ SV65
| ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( SV65 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[609]) ).
thf(715,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : SX0 )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[611]) ).
thf(717,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : SX0 )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[613]) ).
thf(719,plain,
! [SV67: $o > $o,SV37: ( $o > $o ) > $o] :
( ( ( ~ ( SV37 @ SV67 )
| ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) )
= $true )
| ( ( SV37 @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[615]) ).
thf(721,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( SV37
@ ^ [SX0: $o] : $true )
| ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) )
= $true )
| ( ( SV37
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[617]) ).
thf(723,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( SV37
@ ^ [SX0: $o] : $false )
| ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) )
= $true )
| ( ( SV37
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[619]) ).
thf(725,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( SV37
@ ^ [SX0: $o] : SX0 )
| ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) )
= $true )
| ( ( SV37
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[621]) ).
thf(727,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( SV37
@ ^ [SX0: $o] : ~ SX0 )
| ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) )
= $true )
| ( ( SV37
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[623]) ).
thf(729,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : ~ SX0 )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[625]) ).
thf(730,plain,
! [SV69: $o] :
( ( ( SV69
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( SV69 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(733,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : ~ SX0 )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[629]) ).
thf(735,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : ~ SX0 )
| ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[631]) ).
thf(737,plain,
! [SV71: $o > $o,SV42: ( $o > $o ) > $o] :
( ( ( ~ ( SV42 @ SV71 )
| ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) )
= $true )
| ( ( SV42 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[633]) ).
thf(739,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( SV42
@ ^ [SX0: $o] : $true )
| ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) )
= $true )
| ( ( SV42
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(741,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( SV42
@ ^ [SX0: $o] : $false )
| ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) )
= $true )
| ( ( SV42
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[637]) ).
thf(743,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( SV42
@ ^ [SX0: $o] : SX0 )
| ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) )
= $true )
| ( ( SV42
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[639]) ).
thf(745,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( SV42
@ ^ [SX0: $o] : ~ SX0 )
| ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) )
= $true )
| ( ( SV42
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[641]) ).
thf(746,plain,
! [SV8: $o] :
( ( ( SV8
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( SV8 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[642]) ).
thf(748,plain,
! [SV73: $o] :
( ( ( SV73
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( SV73 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[644]) ).
thf(750,plain,
! [SV74: $o] :
( ( ( SV74
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( SV74 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[646]) ).
thf(752,plain,
! [SV75: $o] :
( ( ( SV75
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( SV75 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(755,plain,
! [SV50: $o] :
( ( ( ~ SV50 )
= $true )
| ( ( ~ ~ ( epso
@ ^ [SV11: $o] : SV11 ) )
= $true )
| ( SV50 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[651]) ).
thf(756,plain,
! [SV51: $o] :
( ( SV51 = $true )
| ( ( ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true )
| ( SV51 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[652]) ).
thf(759,plain,
! [SV1: $o > $o] :
( ( ( ~ ( SV1 @ $true ) )
= $true )
| ( ( ~ ~ ( SV1 @ ( epso @ SV1 ) ) )
= $true )
| ( ( SV1 @ $true )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[655]) ).
thf(761,plain,
! [SV52: $o,SV17: $o > $o] :
( ( ( ~ ( SV17 @ SV52 ) )
= $true )
| ( ( ~ ~ ( SV17 @ ( epso @ SV17 ) ) )
= $true )
| ( ( SV17 @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[657]) ).
thf(763,plain,
! [SV17: $o > $o] :
( ( ( ~ ( SV17 @ $true ) )
= $true )
| ( ( ~ ~ ( SV17 @ ( epso @ SV17 ) ) )
= $true )
| ( ( SV17 @ $true )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[659]) ).
thf(765,plain,
! [SV17: $o > $o] :
( ( ( ~ ( SV17 @ $false ) )
= $true )
| ( ( ~ ~ ( SV17 @ ( epso @ SV17 ) ) )
= $true )
| ( ( SV17 @ $false )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[661]) ).
thf(767,plain,
! [SV1: $o > $o] :
( ( ( ~ ( SV1 @ $false ) )
= $true )
| ( ( ~ ~ ( SV1 @ ( epso @ SV1 ) ) )
= $true )
| ( ( SV1 @ $false )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[663]) ).
thf(769,plain,
! [SV53: $o,SV19: $o > $o] :
( ( ( ~ ( SV19 @ SV53 ) )
= $true )
| ( ( ~ ~ ( SV19 @ ( epso @ SV19 ) ) )
= $true )
| ( ( SV19 @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[665]) ).
thf(771,plain,
! [SV19: $o > $o] :
( ( ( ~ ( SV19 @ $true ) )
= $true )
| ( ( ~ ~ ( SV19 @ ( epso @ SV19 ) ) )
= $true )
| ( ( SV19 @ $true )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[667]) ).
thf(773,plain,
! [SV19: $o > $o] :
( ( ( ~ ( SV19 @ $false ) )
= $true )
| ( ( ~ ~ ( SV19 @ ( epso @ SV19 ) ) )
= $true )
| ( ( SV19 @ $false )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[669]) ).
thf(775,plain,
! [SV7: $o] :
( ( ( ~ SV7 )
= $true )
| ( ( ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( SV7 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[671]) ).
thf(777,plain,
! [SV54: $o] :
( ( ( ~ SV54 )
= $true )
| ( ( ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( SV54 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[673]) ).
thf(779,plain,
! [SV55: $o] :
( ( ( ~ SV55 )
= $true )
| ( ( ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( SV55 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[675]) ).
thf(781,plain,
! [SV56: $o] :
( ( ( ~ SV56 )
= $true )
| ( ( ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( SV56 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(783,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[679]) ).
thf(785,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[681]) ).
thf(787,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(789,plain,
! [SV59: $o > $o,SV27: ( $o > $o ) > $o] :
( ( ( ~ ( SV27 @ SV59 ) )
= $true )
| ( ( ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) )
= $true )
| ( ( SV27 @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[685]) ).
thf(791,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( SV27
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) )
= $true )
| ( ( SV27
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[687]) ).
thf(793,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( SV27
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) )
= $true )
| ( ( SV27
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[689]) ).
thf(795,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( SV27
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) )
= $true )
| ( ( SV27
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[691]) ).
thf(797,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( SV27
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) )
= $true )
| ( ( SV27
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[693]) ).
thf(799,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[695]) ).
thf(801,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[697]) ).
thf(803,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[699]) ).
thf(805,plain,
! [SV63: $o > $o,SV32: ( $o > $o ) > $o] :
( ( ( ~ ( SV32 @ SV63 ) )
= $true )
| ( ( ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) )
= $true )
| ( ( SV32 @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[701]) ).
thf(807,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( SV32
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) )
= $true )
| ( ( SV32
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[703]) ).
thf(809,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( SV32
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) )
= $true )
| ( ( SV32
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[705]) ).
thf(811,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( SV32
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) )
= $true )
| ( ( SV32
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[707]) ).
thf(813,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( SV32
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) )
= $true )
| ( ( SV32
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[709]) ).
thf(815,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[711]) ).
thf(817,plain,
! [SV65: $o] :
( ( ( ~ SV65 )
= $true )
| ( ( ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( SV65 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[713]) ).
thf(819,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(821,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(823,plain,
! [SV67: $o > $o,SV37: ( $o > $o ) > $o] :
( ( ( ~ ( SV37 @ SV67 ) )
= $true )
| ( ( ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) )
= $true )
| ( ( SV37 @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[719]) ).
thf(825,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( SV37
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) )
= $true )
| ( ( SV37
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[721]) ).
thf(827,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( SV37
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) )
= $true )
| ( ( SV37
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[723]) ).
thf(829,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( SV37
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) )
= $true )
| ( ( SV37
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[725]) ).
thf(831,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( SV37
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) )
= $true )
| ( ( SV37
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[727]) ).
thf(833,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[729]) ).
thf(834,plain,
! [SV69: $o] :
( ( SV69 = $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( SV69 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[730]) ).
thf(837,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[733]) ).
thf(839,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[735]) ).
thf(841,plain,
! [SV71: $o > $o,SV42: ( $o > $o ) > $o] :
( ( ( ~ ( SV42 @ SV71 ) )
= $true )
| ( ( ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) )
= $true )
| ( ( SV42 @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[737]) ).
thf(843,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( SV42
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) )
= $true )
| ( ( SV42
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[739]) ).
thf(845,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( SV42
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) )
= $true )
| ( ( SV42
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[741]) ).
thf(847,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( SV42
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) )
= $true )
| ( ( SV42
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[743]) ).
thf(849,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( SV42
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) )
= $true )
| ( ( SV42
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[745]) ).
thf(850,plain,
! [SV8: $o] :
( ( SV8 = $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( SV8 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(852,plain,
! [SV73: $o] :
( ( SV73 = $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( SV73 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(854,plain,
! [SV74: $o] :
( ( SV74 = $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( SV74 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[750]) ).
thf(856,plain,
! [SV75: $o] :
( ( SV75 = $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( SV75 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[752]) ).
thf(859,plain,
! [SV50: $o] :
( ( SV50 = $false )
| ( ( ~ ~ ( epso
@ ^ [SV11: $o] : SV11 ) )
= $true )
| ( SV50 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(860,plain,
! [SV51: $o] :
( ( ( epso
@ ^ [SV11: $o] : ~ SV11 )
= $false )
| ( SV51 = $true )
| ( SV51 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[756]) ).
thf(863,plain,
! [SV1: $o > $o] :
( ( ( SV1 @ $true )
= $false )
| ( ( ~ ~ ( SV1 @ ( epso @ SV1 ) ) )
= $true )
| ( ( SV1 @ $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(865,plain,
! [SV52: $o,SV17: $o > $o] :
( ( ( SV17 @ SV52 )
= $false )
| ( ( ~ ~ ( SV17 @ ( epso @ SV17 ) ) )
= $true )
| ( ( SV17 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(867,plain,
! [SV17: $o > $o] :
( ( ( SV17 @ $true )
= $false )
| ( ( ~ ~ ( SV17 @ ( epso @ SV17 ) ) )
= $true )
| ( ( SV17 @ $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(869,plain,
! [SV17: $o > $o] :
( ( ( SV17 @ $false )
= $false )
| ( ( ~ ~ ( SV17 @ ( epso @ SV17 ) ) )
= $true )
| ( ( SV17 @ $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(871,plain,
! [SV1: $o > $o] :
( ( ( SV1 @ $false )
= $false )
| ( ( ~ ~ ( SV1 @ ( epso @ SV1 ) ) )
= $true )
| ( ( SV1 @ $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(873,plain,
! [SV53: $o,SV19: $o > $o] :
( ( ( SV19 @ SV53 )
= $false )
| ( ( ~ ~ ( SV19 @ ( epso @ SV19 ) ) )
= $true )
| ( ( SV19 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(875,plain,
! [SV19: $o > $o] :
( ( ( SV19 @ $true )
= $false )
| ( ( ~ ~ ( SV19 @ ( epso @ SV19 ) ) )
= $true )
| ( ( SV19 @ $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(877,plain,
! [SV19: $o > $o] :
( ( ( SV19 @ $false )
= $false )
| ( ( ~ ~ ( SV19 @ ( epso @ SV19 ) ) )
= $true )
| ( ( SV19 @ $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(879,plain,
! [SV7: $o] :
( ( SV7 = $false )
| ( ( ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( SV7 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(881,plain,
! [SV54: $o] :
( ( SV54 = $false )
| ( ( ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( SV54 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(883,plain,
! [SV55: $o] :
( ( SV55 = $false )
| ( ( ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( SV55 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(885,plain,
! [SV56: $o] :
( ( SV56 = $false )
| ( ( ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( SV56 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(887,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : $true )
= $false )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(889,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : $true )
= $false )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(891,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : $true )
= $false )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(893,plain,
! [SV59: $o > $o,SV27: ( $o > $o ) > $o] :
( ( ( SV27 @ SV59 )
= $false )
| ( ( ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) )
= $true )
| ( ( SV27 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[789]) ).
thf(895,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( SV27
@ ^ [SX0: $o] : $true )
= $false )
| ( ( ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) )
= $true )
| ( ( SV27
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(897,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( SV27
@ ^ [SX0: $o] : $false )
= $false )
| ( ( ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) )
= $true )
| ( ( SV27
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(899,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( SV27
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) )
= $true )
| ( ( SV27
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[795]) ).
thf(901,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( SV27
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( ~ ~ ( SV27 @ ( epsoo @ SV27 ) ) )
= $true )
| ( ( SV27
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[797]) ).
thf(903,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : $false )
= $false )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(905,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : $false )
= $false )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(907,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : $false )
= $false )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[803]) ).
thf(909,plain,
! [SV63: $o > $o,SV32: ( $o > $o ) > $o] :
( ( ( SV32 @ SV63 )
= $false )
| ( ( ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) )
= $true )
| ( ( SV32 @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[805]) ).
thf(911,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( SV32
@ ^ [SX0: $o] : $true )
= $false )
| ( ( ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) )
= $true )
| ( ( SV32
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[807]) ).
thf(913,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( SV32
@ ^ [SX0: $o] : $false )
= $false )
| ( ( ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) )
= $true )
| ( ( SV32
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[809]) ).
thf(915,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( SV32
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) )
= $true )
| ( ( SV32
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(917,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( SV32
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( ~ ~ ( SV32 @ ( epsoo @ SV32 ) ) )
= $true )
| ( ( SV32
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[813]) ).
thf(919,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(921,plain,
! [SV65: $o] :
( ( SV65 = $false )
| ( ( ~ ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( SV65 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[817]) ).
thf(923,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[819]) ).
thf(925,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[821]) ).
thf(927,plain,
! [SV67: $o > $o,SV37: ( $o > $o ) > $o] :
( ( ( SV37 @ SV67 )
= $false )
| ( ( ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) )
= $true )
| ( ( SV37 @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[823]) ).
thf(929,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( SV37
@ ^ [SX0: $o] : $true )
= $false )
| ( ( ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) )
= $true )
| ( ( SV37
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[825]) ).
thf(931,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( SV37
@ ^ [SX0: $o] : $false )
= $false )
| ( ( ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) )
= $true )
| ( ( SV37
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[827]) ).
thf(933,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( SV37
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) )
= $true )
| ( ( SV37
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(935,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( SV37
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( ~ ~ ( SV37 @ ( epsoo @ SV37 ) ) )
= $true )
| ( ( SV37
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(937,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(938,plain,
! [SV69: $o] :
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( SV69 = $true )
| ( SV69 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(941,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[837]) ).
thf(943,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( ~ ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[839]) ).
thf(945,plain,
! [SV71: $o > $o,SV42: ( $o > $o ) > $o] :
( ( ( SV42 @ SV71 )
= $false )
| ( ( ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) )
= $true )
| ( ( SV42 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(947,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( SV42
@ ^ [SX0: $o] : $true )
= $false )
| ( ( ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) )
= $true )
| ( ( SV42
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[843]) ).
thf(949,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( SV42
@ ^ [SX0: $o] : $false )
= $false )
| ( ( ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) )
= $true )
| ( ( SV42
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(951,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( SV42
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) )
= $true )
| ( ( SV42
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[847]) ).
thf(953,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( SV42
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( ~ ~ ( SV42 @ ( epsoo @ SV42 ) ) )
= $true )
| ( ( SV42
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(954,plain,
! [SV8: $o] :
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( SV8 = $true )
| ( SV8 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(956,plain,
! [SV73: $o] :
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( SV73 = $true )
| ( SV73 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[852]) ).
thf(958,plain,
! [SV74: $o] :
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( SV74 = $true )
| ( SV74 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[854]) ).
thf(960,plain,
! [SV75: $o] :
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( SV75 = $true )
| ( SV75 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[856]) ).
thf(962,plain,
! [SV50: $o] :
( ( ( ~ ( epso
@ ^ [SV11: $o] : SV11 ) )
= $false )
| ( SV50 = $false )
| ( SV50 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(964,plain,
! [SV1: $o > $o] :
( ( ( ~ ( SV1 @ ( epso @ SV1 ) ) )
= $false )
| ( ( SV1 @ $true )
= $false )
| ( ( SV1 @ $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(965,plain,
! [SV52: $o,SV17: $o > $o] :
( ( ( ~ ( SV17 @ ( epso @ SV17 ) ) )
= $false )
| ( ( SV17 @ SV52 )
= $false )
| ( ( SV17 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[865]) ).
thf(966,plain,
! [SV17: $o > $o] :
( ( ( ~ ( SV17 @ ( epso @ SV17 ) ) )
= $false )
| ( ( SV17 @ $true )
= $false )
| ( ( SV17 @ $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[867]) ).
thf(967,plain,
! [SV17: $o > $o] :
( ( ( ~ ( SV17 @ ( epso @ SV17 ) ) )
= $false )
| ( ( SV17 @ $false )
= $false )
| ( ( SV17 @ $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(968,plain,
! [SV1: $o > $o] :
( ( ( ~ ( SV1 @ ( epso @ SV1 ) ) )
= $false )
| ( ( SV1 @ $false )
= $false )
| ( ( SV1 @ $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[871]) ).
thf(969,plain,
! [SV53: $o,SV19: $o > $o] :
( ( ( ~ ( SV19 @ ( epso @ SV19 ) ) )
= $false )
| ( ( SV19 @ SV53 )
= $false )
| ( ( SV19 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[873]) ).
thf(970,plain,
! [SV19: $o > $o] :
( ( ( ~ ( SV19 @ ( epso @ SV19 ) ) )
= $false )
| ( ( SV19 @ $true )
= $false )
| ( ( SV19 @ $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[875]) ).
thf(971,plain,
! [SV19: $o > $o] :
( ( ( ~ ( SV19 @ ( epso @ SV19 ) ) )
= $false )
| ( ( SV19 @ $false )
= $false )
| ( ( SV19 @ $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(972,plain,
! [SV7: $o] :
( ( ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $false )
| ( SV7 = $false )
| ( SV7 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(973,plain,
! [SV54: $o] :
( ( ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $false )
| ( SV54 = $false )
| ( SV54 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[881]) ).
thf(974,plain,
! [SV55: $o] :
( ( ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $false )
| ( SV55 = $false )
| ( SV55 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(975,plain,
! [SV56: $o] :
( ( ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $false )
| ( SV56 = $false )
| ( SV56 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(976,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[887]) ).
thf(977,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[889]) ).
thf(978,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(979,plain,
! [SV59: $o > $o,SV27: ( $o > $o ) > $o] :
( ( ( ~ ( SV27 @ ( epsoo @ SV27 ) ) )
= $false )
| ( ( SV27 @ SV59 )
= $false )
| ( ( SV27 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[893]) ).
thf(980,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( SV27 @ ( epsoo @ SV27 ) ) )
= $false )
| ( ( SV27
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV27
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(981,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( SV27 @ ( epsoo @ SV27 ) ) )
= $false )
| ( ( SV27
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV27
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(982,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( SV27 @ ( epsoo @ SV27 ) ) )
= $false )
| ( ( SV27
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV27
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[899]) ).
thf(983,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( ~ ( SV27 @ ( epsoo @ SV27 ) ) )
= $false )
| ( ( SV27
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV27
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(984,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(985,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(986,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[907]) ).
thf(987,plain,
! [SV63: $o > $o,SV32: ( $o > $o ) > $o] :
( ( ( ~ ( SV32 @ ( epsoo @ SV32 ) ) )
= $false )
| ( ( SV32 @ SV63 )
= $false )
| ( ( SV32 @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[909]) ).
thf(988,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( SV32 @ ( epsoo @ SV32 ) ) )
= $false )
| ( ( SV32
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV32
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(989,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( SV32 @ ( epsoo @ SV32 ) ) )
= $false )
| ( ( SV32
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV32
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(990,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( SV32 @ ( epsoo @ SV32 ) ) )
= $false )
| ( ( SV32
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV32
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(991,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( ~ ( SV32 @ ( epsoo @ SV32 ) ) )
= $false )
| ( ( SV32
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV32
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[917]) ).
thf(992,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[919]) ).
thf(993,plain,
! [SV65: $o] :
( ( ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $false )
| ( SV65 = $false )
| ( SV65 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(994,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(995,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[925]) ).
thf(996,plain,
! [SV67: $o > $o,SV37: ( $o > $o ) > $o] :
( ( ( ~ ( SV37 @ ( epsoo @ SV37 ) ) )
= $false )
| ( ( SV37 @ SV67 )
= $false )
| ( ( SV37 @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[927]) ).
thf(997,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( SV37 @ ( epsoo @ SV37 ) ) )
= $false )
| ( ( SV37
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV37
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[929]) ).
thf(998,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( SV37 @ ( epsoo @ SV37 ) ) )
= $false )
| ( ( SV37
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV37
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[931]) ).
thf(999,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( SV37 @ ( epsoo @ SV37 ) ) )
= $false )
| ( ( SV37
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV37
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(1000,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( ~ ( SV37 @ ( epsoo @ SV37 ) ) )
= $false )
| ( ( SV37
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV37
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[935]) ).
thf(1001,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[937]) ).
thf(1003,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[941]) ).
thf(1004,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( ~ ( SV3 @ ( epsoo @ SV3 ) ) )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(1005,plain,
! [SV71: $o > $o,SV42: ( $o > $o ) > $o] :
( ( ( ~ ( SV42 @ ( epsoo @ SV42 ) ) )
= $false )
| ( ( SV42 @ SV71 )
= $false )
| ( ( SV42 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[945]) ).
thf(1006,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( SV42 @ ( epsoo @ SV42 ) ) )
= $false )
| ( ( SV42
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV42
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[947]) ).
thf(1007,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( SV42 @ ( epsoo @ SV42 ) ) )
= $false )
| ( ( SV42
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV42
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[949]) ).
thf(1008,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( SV42 @ ( epsoo @ SV42 ) ) )
= $false )
| ( ( SV42
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV42
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[951]) ).
thf(1009,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( ~ ( SV42 @ ( epsoo @ SV42 ) ) )
= $false )
| ( ( SV42
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV42
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[953]) ).
thf(1014,plain,
! [SV50: $o] :
( ( ( epso
@ ^ [SV11: $o] : SV11 )
= $true )
| ( SV50 = $false )
| ( SV50 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[962]) ).
thf(1016,plain,
! [SV1: $o > $o] :
( ( ( SV1 @ ( epso @ SV1 ) )
= $true )
| ( ( SV1 @ $true )
= $false )
| ( ( SV1 @ $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[964]) ).
thf(1017,plain,
! [SV52: $o,SV17: $o > $o] :
( ( ( SV17 @ ( epso @ SV17 ) )
= $true )
| ( ( SV17 @ SV52 )
= $false )
| ( ( SV17 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[965]) ).
thf(1018,plain,
! [SV17: $o > $o] :
( ( ( SV17 @ ( epso @ SV17 ) )
= $true )
| ( ( SV17 @ $true )
= $false )
| ( ( SV17 @ $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[966]) ).
thf(1019,plain,
! [SV17: $o > $o] :
( ( ( SV17 @ ( epso @ SV17 ) )
= $true )
| ( ( SV17 @ $false )
= $false )
| ( ( SV17 @ $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[967]) ).
thf(1020,plain,
! [SV1: $o > $o] :
( ( ( SV1 @ ( epso @ SV1 ) )
= $true )
| ( ( SV1 @ $false )
= $false )
| ( ( SV1 @ $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[968]) ).
thf(1021,plain,
! [SV53: $o,SV19: $o > $o] :
( ( ( SV19 @ ( epso @ SV19 ) )
= $true )
| ( ( SV19 @ SV53 )
= $false )
| ( ( SV19 @ SV53 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[969]) ).
thf(1022,plain,
! [SV19: $o > $o] :
( ( ( SV19 @ ( epso @ SV19 ) )
= $true )
| ( ( SV19 @ $true )
= $false )
| ( ( SV19 @ $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[970]) ).
thf(1023,plain,
! [SV19: $o > $o] :
( ( ( SV19 @ ( epso @ SV19 ) )
= $true )
| ( ( SV19 @ $false )
= $false )
| ( ( SV19 @ $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[971]) ).
thf(1024,plain,
! [SV7: $o] :
( ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true )
| ( SV7 = $false )
| ( SV7 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[972]) ).
thf(1025,plain,
! [SV54: $o] :
( ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true )
| ( SV54 = $false )
| ( SV54 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[973]) ).
thf(1026,plain,
! [SV55: $o] :
( ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true )
| ( SV55 = $false )
| ( SV55 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[974]) ).
thf(1027,plain,
! [SV56: $o] :
( ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true )
| ( SV56 = $false )
| ( SV56 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[975]) ).
thf(1028,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[976]) ).
thf(1029,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[977]) ).
thf(1030,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[978]) ).
thf(1031,plain,
! [SV59: $o > $o,SV27: ( $o > $o ) > $o] :
( ( ( SV27 @ ( epsoo @ SV27 ) )
= $true )
| ( ( SV27 @ SV59 )
= $false )
| ( ( SV27 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[979]) ).
thf(1032,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( SV27 @ ( epsoo @ SV27 ) )
= $true )
| ( ( SV27
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV27
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[980]) ).
thf(1033,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( SV27 @ ( epsoo @ SV27 ) )
= $true )
| ( ( SV27
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV27
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[981]) ).
thf(1034,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( SV27 @ ( epsoo @ SV27 ) )
= $true )
| ( ( SV27
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV27
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[982]) ).
thf(1035,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( SV27 @ ( epsoo @ SV27 ) )
= $true )
| ( ( SV27
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV27
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[983]) ).
thf(1036,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[984]) ).
thf(1037,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[985]) ).
thf(1038,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[986]) ).
thf(1039,plain,
! [SV63: $o > $o,SV32: ( $o > $o ) > $o] :
( ( ( SV32 @ ( epsoo @ SV32 ) )
= $true )
| ( ( SV32 @ SV63 )
= $false )
| ( ( SV32 @ SV63 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[987]) ).
thf(1040,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( SV32 @ ( epsoo @ SV32 ) )
= $true )
| ( ( SV32
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV32
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[988]) ).
thf(1041,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( SV32 @ ( epsoo @ SV32 ) )
= $true )
| ( ( SV32
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV32
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[989]) ).
thf(1042,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( SV32 @ ( epsoo @ SV32 ) )
= $true )
| ( ( SV32
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV32
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[990]) ).
thf(1043,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( SV32 @ ( epsoo @ SV32 ) )
= $true )
| ( ( SV32
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV32
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[991]) ).
thf(1044,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[992]) ).
thf(1045,plain,
! [SV65: $o] :
( ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true )
| ( SV65 = $false )
| ( SV65 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[993]) ).
thf(1046,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[994]) ).
thf(1047,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[995]) ).
thf(1048,plain,
! [SV67: $o > $o,SV37: ( $o > $o ) > $o] :
( ( ( SV37 @ ( epsoo @ SV37 ) )
= $true )
| ( ( SV37 @ SV67 )
= $false )
| ( ( SV37 @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[996]) ).
thf(1049,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( SV37 @ ( epsoo @ SV37 ) )
= $true )
| ( ( SV37
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV37
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[997]) ).
thf(1050,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( SV37 @ ( epsoo @ SV37 ) )
= $true )
| ( ( SV37
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV37
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[998]) ).
thf(1051,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( SV37 @ ( epsoo @ SV37 ) )
= $true )
| ( ( SV37
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV37
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[999]) ).
thf(1052,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( SV37 @ ( epsoo @ SV37 ) )
= $true )
| ( ( SV37
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV37
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1000]) ).
thf(1053,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1001]) ).
thf(1055,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1003]) ).
thf(1056,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1004]) ).
thf(1057,plain,
! [SV71: $o > $o,SV42: ( $o > $o ) > $o] :
( ( ( SV42 @ ( epsoo @ SV42 ) )
= $true )
| ( ( SV42 @ SV71 )
= $false )
| ( ( SV42 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1005]) ).
thf(1058,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( SV42 @ ( epsoo @ SV42 ) )
= $true )
| ( ( SV42
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV42
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1006]) ).
thf(1059,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( SV42 @ ( epsoo @ SV42 ) )
= $true )
| ( ( SV42
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV42
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1007]) ).
thf(1060,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( SV42 @ ( epsoo @ SV42 ) )
= $true )
| ( ( SV42
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV42
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1008]) ).
thf(1061,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( SV42 @ ( epsoo @ SV42 ) )
= $true )
| ( ( SV42
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV42
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1009]) ).
thf(1066,plain,
( ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $false ),
inference(extuni,[status(esa)],[443:[bind(SV50,$thf( ~ ( epso @ ^ [SX0: $o] : SX0 ) ))]]) ).
thf(1067,plain,
( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ),
inference(extuni,[status(esa)],[445:[bind(SV51,$thf( ~ ( epso @ ^ [SX0: $o] : ~ ( SX0 ) ) ))]]) ).
thf(1068,plain,
( ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $false ),
inference(extuni,[status(esa)],[463:[bind(SV7,$thf( ~ ( epso @ ^ [SX0: $o] : SX0 ) ))]]) ).
thf(1069,plain,
( ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $false ),
inference(extuni,[status(esa)],[465:[bind(SV54,$thf( ~ ( epso @ ^ [SX0: $o] : SX0 ) ))]]) ).
thf(1070,plain,
( ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $false ),
inference(extuni,[status(esa)],[467:[bind(SV55,$thf( ~ ( epso @ ^ [SX0: $o] : SX0 ) ))]]) ).
thf(1071,plain,
( ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $false ),
inference(extuni,[status(esa)],[469:[bind(SV56,$thf( ~ ( epso @ ^ [SX0: $o] : SX0 ) ))]]) ).
thf(1072,plain,
( ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $false ),
inference(extuni,[status(esa)],[505:[bind(SV65,$thf( ~ ( epso @ ^ [SX0: $o] : SX0 ) ))]]) ).
thf(1073,plain,
( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ),
inference(extuni,[status(esa)],[523:[bind(SV69,$thf( ~ ( epso @ ^ [SX0: $o] : ~ ( SX0 ) ) ))]]) ).
thf(1074,plain,
( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ),
inference(extuni,[status(esa)],[539:[bind(SV8,$thf( ~ ( epso @ ^ [SX0: $o] : ~ ( SX0 ) ) ))]]) ).
thf(1075,plain,
( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ),
inference(extuni,[status(esa)],[541:[bind(SV73,$thf( ~ ( epso @ ^ [SX0: $o] : ~ ( SX0 ) ) ))]]) ).
thf(1076,plain,
( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ),
inference(extuni,[status(esa)],[543:[bind(SV74,$thf( ~ ( epso @ ^ [SX0: $o] : ~ ( SX0 ) ) ))]]) ).
thf(1077,plain,
( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ),
inference(extuni,[status(esa)],[545:[bind(SV75,$thf( ~ ( epso @ ^ [SX0: $o] : ~ ( SX0 ) ) ))]]) ).
thf(1078,plain,
( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1066]) ).
thf(1079,plain,
( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1067]) ).
thf(1080,plain,
( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1068]) ).
thf(1081,plain,
( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1069]) ).
thf(1082,plain,
( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1070]) ).
thf(1083,plain,
( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1071]) ).
thf(1084,plain,
( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1072]) ).
thf(1085,plain,
( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1073]) ).
thf(1086,plain,
( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1074]) ).
thf(1087,plain,
( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1075]) ).
thf(1088,plain,
( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1089,plain,
( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1077]) ).
thf(1090,plain,
( ( epso
@ ^ [SV11: $o] : SV11 )
= $true ),
inference(sim,[status(thm)],[287]) ).
thf(1091,plain,
( ( epso
@ ^ [SV11: $o] : ~ SV11 )
= $false ),
inference(sim,[status(thm)],[377]) ).
thf(1092,plain,
( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ),
inference(sim,[status(thm)],[299]) ).
thf(1093,plain,
( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ),
inference(sim,[status(thm)],[60]) ).
thf(1094,plain,
( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ),
inference(sim,[status(thm)],[302]) ).
thf(1095,plain,
( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ),
inference(sim,[status(thm)],[305]) ).
thf(1096,plain,
( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ),
inference(sim,[status(thm)],[330]) ).
thf(1097,plain,
( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ),
inference(sim,[status(thm)],[380]) ).
thf(1098,plain,
( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ),
inference(sim,[status(thm)],[383]) ).
thf(1099,plain,
( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ),
inference(sim,[status(thm)],[386]) ).
thf(1100,plain,
( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ),
inference(sim,[status(thm)],[75]) ).
thf(1101,plain,
( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ),
inference(sim,[status(thm)],[389]) ).
thf(1102,plain,
! [SV50: $o] :
( ( ( epso
@ ^ [SV11: $o] : SV11 )
= $true )
| ( SV50 = $false ) ),
inference(sim,[status(thm)],[1014]) ).
thf(1103,plain,
! [SV51: $o] :
( ( ( epso
@ ^ [SV11: $o] : ~ SV11 )
= $false )
| ( SV51 = $true ) ),
inference(sim,[status(thm)],[860]) ).
thf(1104,plain,
! [SV1: $o > $o] :
( ( ( SV1 @ ( epso @ SV1 ) )
= $true )
| ( ( SV1 @ $true )
= $false ) ),
inference(sim,[status(thm)],[1016]) ).
thf(1105,plain,
! [SV52: $o,SV17: $o > $o] :
( ( ( SV17 @ ( epso @ SV17 ) )
= $true )
| ( ( SV17 @ SV52 )
= $false ) ),
inference(sim,[status(thm)],[1017]) ).
thf(1106,plain,
! [SV17: $o > $o] :
( ( ( SV17 @ ( epso @ SV17 ) )
= $true )
| ( ( SV17 @ $true )
= $false ) ),
inference(sim,[status(thm)],[1018]) ).
thf(1107,plain,
! [SV17: $o > $o] :
( ( ( SV17 @ ( epso @ SV17 ) )
= $true )
| ( ( SV17 @ $false )
= $false ) ),
inference(sim,[status(thm)],[1019]) ).
thf(1108,plain,
! [SV1: $o > $o] :
( ( ( SV1 @ ( epso @ SV1 ) )
= $true )
| ( ( SV1 @ $false )
= $false ) ),
inference(sim,[status(thm)],[1020]) ).
thf(1109,plain,
! [SV53: $o,SV19: $o > $o] :
( ( ( SV19 @ ( epso @ SV19 ) )
= $true )
| ( ( SV19 @ SV53 )
= $false ) ),
inference(sim,[status(thm)],[1021]) ).
thf(1110,plain,
! [SV19: $o > $o] :
( ( ( SV19 @ ( epso @ SV19 ) )
= $true )
| ( ( SV19 @ $true )
= $false ) ),
inference(sim,[status(thm)],[1022]) ).
thf(1111,plain,
! [SV19: $o > $o] :
( ( ( SV19 @ ( epso @ SV19 ) )
= $true )
| ( ( SV19 @ $false )
= $false ) ),
inference(sim,[status(thm)],[1023]) ).
thf(1112,plain,
! [SV7: $o] :
( ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true )
| ( SV7 = $false ) ),
inference(sim,[status(thm)],[1024]) ).
thf(1113,plain,
! [SV54: $o] :
( ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true )
| ( SV54 = $false ) ),
inference(sim,[status(thm)],[1025]) ).
thf(1114,plain,
! [SV55: $o] :
( ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true )
| ( SV55 = $false ) ),
inference(sim,[status(thm)],[1026]) ).
thf(1115,plain,
! [SV56: $o] :
( ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true )
| ( SV56 = $false ) ),
inference(sim,[status(thm)],[1027]) ).
thf(1116,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(sim,[status(thm)],[1028]) ).
thf(1117,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(sim,[status(thm)],[1029]) ).
thf(1118,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(sim,[status(thm)],[1030]) ).
thf(1119,plain,
! [SV59: $o > $o,SV27: ( $o > $o ) > $o] :
( ( ( SV27 @ ( epsoo @ SV27 ) )
= $true )
| ( ( SV27 @ SV59 )
= $false ) ),
inference(sim,[status(thm)],[1031]) ).
thf(1120,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( SV27 @ ( epsoo @ SV27 ) )
= $true )
| ( ( SV27
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(sim,[status(thm)],[1032]) ).
thf(1121,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( SV27 @ ( epsoo @ SV27 ) )
= $true )
| ( ( SV27
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(sim,[status(thm)],[1033]) ).
thf(1122,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( SV27 @ ( epsoo @ SV27 ) )
= $true )
| ( ( SV27
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(sim,[status(thm)],[1034]) ).
thf(1123,plain,
! [SV27: ( $o > $o ) > $o] :
( ( ( SV27 @ ( epsoo @ SV27 ) )
= $true )
| ( ( SV27
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(sim,[status(thm)],[1035]) ).
thf(1124,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(sim,[status(thm)],[1036]) ).
thf(1125,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(sim,[status(thm)],[1037]) ).
thf(1126,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(sim,[status(thm)],[1038]) ).
thf(1127,plain,
! [SV63: $o > $o,SV32: ( $o > $o ) > $o] :
( ( ( SV32 @ ( epsoo @ SV32 ) )
= $true )
| ( ( SV32 @ SV63 )
= $false ) ),
inference(sim,[status(thm)],[1039]) ).
thf(1128,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( SV32 @ ( epsoo @ SV32 ) )
= $true )
| ( ( SV32
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(sim,[status(thm)],[1040]) ).
thf(1129,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( SV32 @ ( epsoo @ SV32 ) )
= $true )
| ( ( SV32
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(sim,[status(thm)],[1041]) ).
thf(1130,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( SV32 @ ( epsoo @ SV32 ) )
= $true )
| ( ( SV32
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(sim,[status(thm)],[1042]) ).
thf(1131,plain,
! [SV32: ( $o > $o ) > $o] :
( ( ( SV32 @ ( epsoo @ SV32 ) )
= $true )
| ( ( SV32
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(sim,[status(thm)],[1043]) ).
thf(1132,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(sim,[status(thm)],[1044]) ).
thf(1133,plain,
! [SV65: $o] :
( ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true )
| ( SV65 = $false ) ),
inference(sim,[status(thm)],[1045]) ).
thf(1134,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(sim,[status(thm)],[1046]) ).
thf(1135,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(sim,[status(thm)],[1047]) ).
thf(1136,plain,
! [SV67: $o > $o,SV37: ( $o > $o ) > $o] :
( ( ( SV37 @ ( epsoo @ SV37 ) )
= $true )
| ( ( SV37 @ SV67 )
= $false ) ),
inference(sim,[status(thm)],[1048]) ).
thf(1137,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( SV37 @ ( epsoo @ SV37 ) )
= $true )
| ( ( SV37
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(sim,[status(thm)],[1049]) ).
thf(1138,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( SV37 @ ( epsoo @ SV37 ) )
= $true )
| ( ( SV37
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(sim,[status(thm)],[1050]) ).
thf(1139,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( SV37 @ ( epsoo @ SV37 ) )
= $true )
| ( ( SV37
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(sim,[status(thm)],[1051]) ).
thf(1140,plain,
! [SV37: ( $o > $o ) > $o] :
( ( ( SV37 @ ( epsoo @ SV37 ) )
= $true )
| ( ( SV37
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(sim,[status(thm)],[1052]) ).
thf(1141,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(sim,[status(thm)],[1053]) ).
thf(1142,plain,
! [SV69: $o] :
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( SV69 = $true ) ),
inference(sim,[status(thm)],[938]) ).
thf(1143,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(sim,[status(thm)],[1055]) ).
thf(1144,plain,
! [SV3: ( $o > $o ) > $o] :
( ( ( SV3 @ ( epsoo @ SV3 ) )
= $true )
| ( ( SV3
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(sim,[status(thm)],[1056]) ).
thf(1145,plain,
! [SV71: $o > $o,SV42: ( $o > $o ) > $o] :
( ( ( SV42 @ ( epsoo @ SV42 ) )
= $true )
| ( ( SV42 @ SV71 )
= $false ) ),
inference(sim,[status(thm)],[1057]) ).
thf(1146,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( SV42 @ ( epsoo @ SV42 ) )
= $true )
| ( ( SV42
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(sim,[status(thm)],[1058]) ).
thf(1147,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( SV42 @ ( epsoo @ SV42 ) )
= $true )
| ( ( SV42
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(sim,[status(thm)],[1059]) ).
thf(1148,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( SV42 @ ( epsoo @ SV42 ) )
= $true )
| ( ( SV42
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(sim,[status(thm)],[1060]) ).
thf(1149,plain,
! [SV42: ( $o > $o ) > $o] :
( ( ( SV42 @ ( epsoo @ SV42 ) )
= $true )
| ( ( SV42
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(sim,[status(thm)],[1061]) ).
thf(1150,plain,
! [SV8: $o] :
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( SV8 = $true ) ),
inference(sim,[status(thm)],[954]) ).
thf(1151,plain,
! [SV73: $o] :
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( SV73 = $true ) ),
inference(sim,[status(thm)],[956]) ).
thf(1152,plain,
! [SV74: $o] :
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( SV74 = $true ) ),
inference(sim,[status(thm)],[958]) ).
thf(1153,plain,
! [SV75: $o] :
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( SV75 = $true ) ),
inference(sim,[status(thm)],[960]) ).
thf(1154,plain,
( ( epso
@ ^ [SV11: $o] : SV11 )
= $true ),
inference(sim,[status(thm)],[287]) ).
thf(1155,plain,
( ( epso
@ ^ [SV11: $o] : ~ SV11 )
= $false ),
inference(sim,[status(thm)],[377]) ).
thf(1156,plain,
( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ),
inference(sim,[status(thm)],[299]) ).
thf(1157,plain,
( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ),
inference(sim,[status(thm)],[60]) ).
thf(1158,plain,
( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ),
inference(sim,[status(thm)],[302]) ).
thf(1159,plain,
( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ),
inference(sim,[status(thm)],[305]) ).
thf(1160,plain,
( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ),
inference(sim,[status(thm)],[330]) ).
thf(1161,plain,
( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ),
inference(sim,[status(thm)],[380]) ).
thf(1162,plain,
( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ),
inference(sim,[status(thm)],[383]) ).
thf(1163,plain,
( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ),
inference(sim,[status(thm)],[386]) ).
thf(1164,plain,
( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ),
inference(sim,[status(thm)],[75]) ).
thf(1165,plain,
( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ),
inference(sim,[status(thm)],[389]) ).
thf(1166,plain,
( ( ~ ~ ! [SV272: $o > $o] :
~ ( epso @ SV272 )
| ( epso @ ( epsoo @ epso ) ) )
= $true ),
inference(choice,[status(thm)],[15]) ).
thf(1167,plain,
( ( ( ~ ~ ! [SV272: $o > $o] :
~ ( epso @ SV272 ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1166]) ).
thf(1168,plain,
( ( ( ~ ! [SV272: $o > $o] :
~ ( epso @ SV272 ) )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1167]) ).
thf(1169,plain,
( ( ( ! [SV272: $o > $o] :
~ ( epso @ SV272 ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1168]) ).
thf(1170,plain,
! [SV273: $o > $o] :
( ( ( ~ ( epso @ SV273 ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1169]) ).
thf(1171,plain,
( ( ( ~ ( epso
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1169]) ).
thf(1172,plain,
( ( ( ~ ( epso
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1169]) ).
thf(1173,plain,
( ( ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1169]) ).
thf(1174,plain,
( ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1169]) ).
thf(1175,plain,
! [SV273: $o > $o] :
( ( ( epso @ SV273 )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1170]) ).
thf(1176,plain,
( ( ( epso
@ ^ [SX0: $o] : $true )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1171]) ).
thf(1177,plain,
( ( ( epso
@ ^ [SX0: $o] : $false )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1172]) ).
thf(1178,plain,
( ( ( epso
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1173]) ).
thf(1179,plain,
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1174]) ).
thf(1181,plain,
( ( ~ ~ ! [SV275: $o > $o] :
~ ( epso @ SV275 )
| ( epso @ ( epsoo @ epso ) ) )
= $true ),
inference(choice,[status(thm)],[23]) ).
thf(1182,plain,
( ( ( ~ ~ ! [SV275: $o > $o] :
~ ( epso @ SV275 ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1181]) ).
thf(1183,plain,
( ( ( ~ ! [SV275: $o > $o] :
~ ( epso @ SV275 ) )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1182]) ).
thf(1184,plain,
( ( ( ! [SV275: $o > $o] :
~ ( epso @ SV275 ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1183]) ).
thf(1185,plain,
! [SV276: $o > $o] :
( ( ( ~ ( epso @ SV276 ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1184]) ).
thf(1186,plain,
( ( ( ~ ( epso
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1184]) ).
thf(1187,plain,
( ( ( ~ ( epso
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1184]) ).
thf(1188,plain,
( ( ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1184]) ).
thf(1189,plain,
( ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1184]) ).
thf(1190,plain,
! [SV276: $o > $o] :
( ( ( epso @ SV276 )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1185]) ).
thf(1191,plain,
( ( ( epso
@ ^ [SX0: $o] : $true )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1186]) ).
thf(1192,plain,
( ( ( epso
@ ^ [SX0: $o] : $false )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1187]) ).
thf(1193,plain,
( ( ( epso
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1188]) ).
thf(1194,plain,
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1189]) ).
thf(1197,plain,
! [SV278: $o > $o] :
( ( ( SV278 @ $true )
= $false )
| ( ( SV278 @ ( epso @ SV278 ) )
= $true ) ),
inference(rename,[status(thm)],[51]) ).
thf(1203,plain,
! [SV278: $o > $o] :
( ( ~ ~ ! [SV339: $o] :
~ ( SV278 @ SV339 )
| ( SV278 @ ( epso @ SV278 ) ) )
= $true ),
inference(choice,[status(thm)],[1197]) ).
thf(1204,plain,
! [SV340: $o > $o] :
( ( ~ ~ ! [SX0: $o] :
~ ( SV340 @ SX0 )
| ( SV340 @ ( epso @ SV340 ) ) )
= $true ),
inference(rename,[status(thm)],[1203]) ).
thf(1205,plain,
! [SV340: $o > $o] :
( ( ( ~ ~ ! [SX0: $o] :
~ ( SV340 @ SX0 ) )
= $true )
| ( ( SV340 @ ( epso @ SV340 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1204]) ).
thf(1206,plain,
! [SV340: $o > $o] :
( ( ( ~ ! [SX0: $o] :
~ ( SV340 @ SX0 ) )
= $false )
| ( ( SV340 @ ( epso @ SV340 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1205]) ).
thf(1207,plain,
! [SV340: $o > $o] :
( ( ( ! [SX0: $o] :
~ ( SV340 @ SX0 ) )
= $true )
| ( ( SV340 @ ( epso @ SV340 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1206]) ).
thf(1208,plain,
! [SV341: $o,SV340: $o > $o] :
( ( ( ~ ( SV340 @ SV341 ) )
= $true )
| ( ( SV340 @ ( epso @ SV340 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1207]) ).
thf(1209,plain,
! [SV340: $o > $o] :
( ( ( ~ ( SV340 @ $true ) )
= $true )
| ( ( SV340 @ ( epso @ SV340 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1207]) ).
thf(1210,plain,
! [SV340: $o > $o] :
( ( ( ~ ( SV340 @ $false ) )
= $true )
| ( ( SV340 @ ( epso @ SV340 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1207]) ).
thf(1211,plain,
! [SV341: $o,SV340: $o > $o] :
( ( ( SV340 @ SV341 )
= $false )
| ( ( SV340 @ ( epso @ SV340 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1208]) ).
thf(1212,plain,
! [SV340: $o > $o] :
( ( ( SV340 @ $true )
= $false )
| ( ( SV340 @ ( epso @ SV340 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1209]) ).
thf(1213,plain,
! [SV340: $o > $o] :
( ( ( SV340 @ $false )
= $false )
| ( ( SV340 @ ( epso @ SV340 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1210]) ).
thf(1214,plain,
! [SV353: $o > $o] :
( ( ( SV353 @ $false )
= $false )
| ( ( SV353 @ ( epso @ SV353 ) )
= $true ) ),
inference(rename,[status(thm)],[52]) ).
thf(1222,plain,
! [SV353: $o > $o] :
( ( ~ ~ ! [SV414: $o] :
~ ( SV353 @ SV414 )
| ( SV353 @ ( epso @ SV353 ) ) )
= $true ),
inference(choice,[status(thm)],[1214]) ).
thf(1223,plain,
! [SV415: $o > $o] :
( ( ~ ~ ! [SX0: $o] :
~ ( SV415 @ SX0 )
| ( SV415 @ ( epso @ SV415 ) ) )
= $true ),
inference(rename,[status(thm)],[1222]) ).
thf(1224,plain,
! [SV415: $o > $o] :
( ( ( ~ ~ ! [SX0: $o] :
~ ( SV415 @ SX0 ) )
= $true )
| ( ( SV415 @ ( epso @ SV415 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1223]) ).
thf(1225,plain,
! [SV415: $o > $o] :
( ( ( ~ ! [SX0: $o] :
~ ( SV415 @ SX0 ) )
= $false )
| ( ( SV415 @ ( epso @ SV415 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1224]) ).
thf(1226,plain,
! [SV415: $o > $o] :
( ( ( ! [SX0: $o] :
~ ( SV415 @ SX0 ) )
= $true )
| ( ( SV415 @ ( epso @ SV415 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1225]) ).
thf(1227,plain,
! [SV416: $o,SV415: $o > $o] :
( ( ( ~ ( SV415 @ SV416 ) )
= $true )
| ( ( SV415 @ ( epso @ SV415 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1226]) ).
thf(1228,plain,
! [SV415: $o > $o] :
( ( ( ~ ( SV415 @ $true ) )
= $true )
| ( ( SV415 @ ( epso @ SV415 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1226]) ).
thf(1229,plain,
! [SV415: $o > $o] :
( ( ( ~ ( SV415 @ $false ) )
= $true )
| ( ( SV415 @ ( epso @ SV415 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1226]) ).
thf(1230,plain,
! [SV416: $o,SV415: $o > $o] :
( ( ( SV415 @ SV416 )
= $false )
| ( ( SV415 @ ( epso @ SV415 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1227]) ).
thf(1231,plain,
! [SV415: $o > $o] :
( ( ( SV415 @ $true )
= $false )
| ( ( SV415 @ ( epso @ SV415 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1228]) ).
thf(1232,plain,
! [SV415: $o > $o] :
( ( ( SV415 @ $false )
= $false )
| ( ( SV415 @ ( epso @ SV415 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1229]) ).
thf(1233,plain,
! [SV428: $o] :
( ( SV428 = $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(rename,[status(thm)],[59]) ).
thf(1236,plain,
! [SV428: $o,SV353: $o > $o] :
( ( ( SV428
= ( SV353 @ ( epso @ SV353 ) ) )
= $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true )
| ( ( SV353 @ $false )
= $false ) ),
inference(res,[status(thm)],[1233,1214]) ).
thf(1238,plain,
! [SV428: $o,SV278: $o > $o] :
( ( ( SV428
= ( SV278 @ ( epso @ SV278 ) ) )
= $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true )
| ( ( SV278 @ $true )
= $false ) ),
inference(res,[status(thm)],[1233,1197]) ).
thf(1241,plain,
! [SV428: $o] :
( ( ( SV428
= ( epsoo @ epso @ $false ) )
= $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(res,[status(thm)],[1233,15]) ).
thf(1242,plain,
! [SV428: $o] :
( ( SV428 = $false )
| ( ( SV428
= ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1233]) ).
thf(1243,plain,
( ( ~ ~ ! [SY520: $o] : ~ SY520
| ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true ),
inference(choice,[status(thm)],[1233]) ).
thf(1244,plain,
( ( ( ~ ~ ! [SY520: $o] : ~ SY520 )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1243]) ).
thf(1245,plain,
( ( ( ~ ! [SY520: $o] : ~ SY520 )
= $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1244]) ).
thf(1246,plain,
( ( ( ! [SY520: $o] : ~ SY520 )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1245]) ).
thf(1247,plain,
! [SV447: $o] :
( ( ( ~ SV447 )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1246]) ).
thf(1248,plain,
( ( ( ~ $true )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1246]) ).
thf(1250,plain,
! [SV447: $o] :
( ( SV447 = $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1247]) ).
thf(1251,plain,
( ( $true = $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1248]) ).
thf(1253,plain,
( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ),
inference(extuni,[status(esa)],[1241:[bind(SV428,$thf( epsoo @ epso @ $false ))]]) ).
thf(1254,plain,
! [SV278: $o > $o] :
( ( ( SV278 @ $true )
= $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extuni,[status(esa)],[1238:[bind(SV428,$thf( SV278 @ ( epso @ SV278 ) ))]]) ).
thf(1255,plain,
! [SV353: $o > $o] :
( ( ( SV353 @ $false )
= $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extuni,[status(esa)],[1236:[bind(SV428,$thf( SV353 @ ( epso @ SV353 ) ))]]) ).
thf(1258,plain,
( ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $false ),
inference(extuni,[status(esa)],[1242:[bind(SV428,$thf( ~ ( epso @ ^ [SX0: $o] : SX0 ) ))]]) ).
thf(1259,plain,
( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1258]) ).
thf(1260,plain,
( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ),
inference(sim,[status(thm)],[1251]) ).
thf(1261,plain,
! [SV448: ( $o > $o ) > $o] :
( ( ( SV448
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV448 @ ( epsoo @ SV448 ) )
= $true ) ),
inference(rename,[status(thm)],[66]) ).
thf(1265,plain,
! [SV448: ( $o > $o ) > $o,SV428: $o] :
( ( ( ( SV448 @ ( epsoo @ SV448 ) )
= SV428 )
= $false )
| ( ( SV448
@ ^ [SX0: $o] : $true )
= $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(res,[status(thm)],[1261,1233]) ).
thf(1273,plain,
( ( ( epso
@ ^ [SX0: $o] : $true )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(instantiate,[status(thm)],[1261:[bind(SV448,$thf( epso ))]]) ).
thf(1275,plain,
( ( ( epso
@ ^ [SX0: $o] : $true )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(instantiate,[status(thm)],[1261:[bind(SV448,$thf( epso ))]]) ).
thf(1276,plain,
! [SV448: ( $o > $o ) > $o] :
( ( ~ ~ ! [SV512: $o] :
~ ( epsoo @ SV448 @ SV512 )
| ( epsoo @ SV448 @ ( epso @ ( epsoo @ SV448 ) ) ) )
= $true ),
inference(choice,[status(thm)],[1261]) ).
thf(1277,plain,
! [SV513: ( $o > $o ) > $o] :
( ( ~ ~ ! [SX0: $o] :
~ ( epsoo @ SV513 @ SX0 )
| ( epsoo @ SV513 @ ( epso @ ( epsoo @ SV513 ) ) ) )
= $true ),
inference(rename,[status(thm)],[1276]) ).
thf(1278,plain,
! [SV448: ( $o > $o ) > $o] :
( ( ~ ~ ! [SV514: $o > $o] :
~ ( SV448 @ SV514 )
| ( SV448 @ ( epsoo @ SV448 ) ) )
= $true ),
inference(choice,[status(thm)],[1261]) ).
thf(1279,plain,
! [SV515: ( $o > $o ) > $o] :
( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV515 @ SX0 )
| ( SV515 @ ( epsoo @ SV515 ) ) )
= $true ),
inference(rename,[status(thm)],[1278]) ).
thf(1281,plain,
! [SV513: ( $o > $o ) > $o] :
( ( ( ~ ~ ! [SX0: $o] :
~ ( epsoo @ SV513 @ SX0 ) )
= $true )
| ( ( epsoo @ SV513 @ ( epso @ ( epsoo @ SV513 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1277]) ).
thf(1282,plain,
! [SV515: ( $o > $o ) > $o] :
( ( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV515 @ SX0 ) )
= $true )
| ( ( SV515 @ ( epsoo @ SV515 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1279]) ).
thf(1284,plain,
! [SV513: ( $o > $o ) > $o] :
( ( ( ~ ! [SX0: $o] :
~ ( epsoo @ SV513 @ SX0 ) )
= $false )
| ( ( epsoo @ SV513 @ ( epso @ ( epsoo @ SV513 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1281]) ).
thf(1285,plain,
! [SV515: ( $o > $o ) > $o] :
( ( ( ~ ! [SX0: $o > $o] :
~ ( SV515 @ SX0 ) )
= $false )
| ( ( SV515 @ ( epsoo @ SV515 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1282]) ).
thf(1287,plain,
! [SV513: ( $o > $o ) > $o] :
( ( ( ! [SX0: $o] :
~ ( epsoo @ SV513 @ SX0 ) )
= $true )
| ( ( epsoo @ SV513 @ ( epso @ ( epsoo @ SV513 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1284]) ).
thf(1288,plain,
! [SV515: ( $o > $o ) > $o] :
( ( ( ! [SX0: $o > $o] :
~ ( SV515 @ SX0 ) )
= $true )
| ( ( SV515 @ ( epsoo @ SV515 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1285]) ).
thf(1292,plain,
! [SV517: $o,SV513: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV513 @ SV517 ) )
= $true )
| ( ( epsoo @ SV513 @ ( epso @ ( epsoo @ SV513 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1287]) ).
thf(1293,plain,
! [SV513: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV513 @ $true ) )
= $true )
| ( ( epsoo @ SV513 @ ( epso @ ( epsoo @ SV513 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1287]) ).
thf(1294,plain,
! [SV513: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV513 @ $false ) )
= $true )
| ( ( epsoo @ SV513 @ ( epso @ ( epsoo @ SV513 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1287]) ).
thf(1295,plain,
! [SV518: $o > $o,SV515: ( $o > $o ) > $o] :
( ( ( ~ ( SV515 @ SV518 ) )
= $true )
| ( ( SV515 @ ( epsoo @ SV515 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1288]) ).
thf(1296,plain,
! [SV515: ( $o > $o ) > $o] :
( ( ( ~ ( SV515
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( SV515 @ ( epsoo @ SV515 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1288]) ).
thf(1297,plain,
! [SV515: ( $o > $o ) > $o] :
( ( ( ~ ( SV515
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( SV515 @ ( epsoo @ SV515 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1288]) ).
thf(1298,plain,
! [SV515: ( $o > $o ) > $o] :
( ( ( ~ ( SV515
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( SV515 @ ( epsoo @ SV515 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1288]) ).
thf(1299,plain,
! [SV515: ( $o > $o ) > $o] :
( ( ( ~ ( SV515
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( SV515 @ ( epsoo @ SV515 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1288]) ).
thf(1303,plain,
! [SV517: $o,SV513: ( $o > $o ) > $o] :
( ( ( epsoo @ SV513 @ SV517 )
= $false )
| ( ( epsoo @ SV513 @ ( epso @ ( epsoo @ SV513 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1292]) ).
thf(1304,plain,
! [SV513: ( $o > $o ) > $o] :
( ( ( epsoo @ SV513 @ $true )
= $false )
| ( ( epsoo @ SV513 @ ( epso @ ( epsoo @ SV513 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1293]) ).
thf(1305,plain,
! [SV513: ( $o > $o ) > $o] :
( ( ( epsoo @ SV513 @ $false )
= $false )
| ( ( epsoo @ SV513 @ ( epso @ ( epsoo @ SV513 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1294]) ).
thf(1306,plain,
! [SV518: $o > $o,SV515: ( $o > $o ) > $o] :
( ( ( SV515 @ SV518 )
= $false )
| ( ( SV515 @ ( epsoo @ SV515 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1295]) ).
thf(1307,plain,
! [SV515: ( $o > $o ) > $o] :
( ( ( SV515
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV515 @ ( epsoo @ SV515 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1296]) ).
thf(1308,plain,
! [SV515: ( $o > $o ) > $o] :
( ( ( SV515
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV515 @ ( epsoo @ SV515 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1297]) ).
thf(1309,plain,
! [SV515: ( $o > $o ) > $o] :
( ( ( SV515
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV515 @ ( epsoo @ SV515 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1298]) ).
thf(1310,plain,
! [SV515: ( $o > $o ) > $o] :
( ( ( SV515
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV515 @ ( epsoo @ SV515 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1299]) ).
thf(1311,plain,
! [SV448: ( $o > $o ) > $o] :
( ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true )
| ( ( SV448
@ ^ [SX0: $o] : $true )
= $false ) ),
inference(extuni,[status(esa)],[1265:[bind(SV428,$thf( SV448 @ ( epsoo @ SV448 ) ))]]) ).
thf(1312,plain,
! [SV538: ( $o > $o ) > $o] :
( ( ( SV538
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV538 @ ( epsoo @ SV538 ) )
= $true ) ),
inference(rename,[status(thm)],[67]) ).
thf(1318,plain,
! [SV538: ( $o > $o ) > $o,SV428: $o] :
( ( ( ( SV538 @ ( epsoo @ SV538 ) )
= SV428 )
= $false )
| ( ( SV538
@ ^ [SX0: $o] : $false )
= $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(res,[status(thm)],[1312,1233]) ).
thf(1326,plain,
( ( ( epso
@ ^ [SX0: $o] : $false )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(instantiate,[status(thm)],[1312:[bind(SV538,$thf( epso ))]]) ).
thf(1328,plain,
( ( ( epso
@ ^ [SX0: $o] : $false )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(instantiate,[status(thm)],[1312:[bind(SV538,$thf( epso ))]]) ).
thf(1329,plain,
! [SV538: ( $o > $o ) > $o] :
( ( ~ ~ ! [SV602: $o] :
~ ( epsoo @ SV538 @ SV602 )
| ( epsoo @ SV538 @ ( epso @ ( epsoo @ SV538 ) ) ) )
= $true ),
inference(choice,[status(thm)],[1312]) ).
thf(1330,plain,
! [SV603: ( $o > $o ) > $o] :
( ( ~ ~ ! [SX0: $o] :
~ ( epsoo @ SV603 @ SX0 )
| ( epsoo @ SV603 @ ( epso @ ( epsoo @ SV603 ) ) ) )
= $true ),
inference(rename,[status(thm)],[1329]) ).
thf(1331,plain,
! [SV538: ( $o > $o ) > $o] :
( ( ~ ~ ! [SV604: $o > $o] :
~ ( SV538 @ SV604 )
| ( SV538 @ ( epsoo @ SV538 ) ) )
= $true ),
inference(choice,[status(thm)],[1312]) ).
thf(1332,plain,
! [SV605: ( $o > $o ) > $o] :
( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV605 @ SX0 )
| ( SV605 @ ( epsoo @ SV605 ) ) )
= $true ),
inference(rename,[status(thm)],[1331]) ).
thf(1334,plain,
! [SV603: ( $o > $o ) > $o] :
( ( ( ~ ~ ! [SX0: $o] :
~ ( epsoo @ SV603 @ SX0 ) )
= $true )
| ( ( epsoo @ SV603 @ ( epso @ ( epsoo @ SV603 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1330]) ).
thf(1335,plain,
! [SV605: ( $o > $o ) > $o] :
( ( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV605 @ SX0 ) )
= $true )
| ( ( SV605 @ ( epsoo @ SV605 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1332]) ).
thf(1337,plain,
! [SV603: ( $o > $o ) > $o] :
( ( ( ~ ! [SX0: $o] :
~ ( epsoo @ SV603 @ SX0 ) )
= $false )
| ( ( epsoo @ SV603 @ ( epso @ ( epsoo @ SV603 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1334]) ).
thf(1338,plain,
! [SV605: ( $o > $o ) > $o] :
( ( ( ~ ! [SX0: $o > $o] :
~ ( SV605 @ SX0 ) )
= $false )
| ( ( SV605 @ ( epsoo @ SV605 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1335]) ).
thf(1340,plain,
! [SV603: ( $o > $o ) > $o] :
( ( ( ! [SX0: $o] :
~ ( epsoo @ SV603 @ SX0 ) )
= $true )
| ( ( epsoo @ SV603 @ ( epso @ ( epsoo @ SV603 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1337]) ).
thf(1341,plain,
! [SV605: ( $o > $o ) > $o] :
( ( ( ! [SX0: $o > $o] :
~ ( SV605 @ SX0 ) )
= $true )
| ( ( SV605 @ ( epsoo @ SV605 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1338]) ).
thf(1345,plain,
! [SV607: $o,SV603: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV603 @ SV607 ) )
= $true )
| ( ( epsoo @ SV603 @ ( epso @ ( epsoo @ SV603 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1340]) ).
thf(1346,plain,
! [SV603: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV603 @ $true ) )
= $true )
| ( ( epsoo @ SV603 @ ( epso @ ( epsoo @ SV603 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1340]) ).
thf(1347,plain,
! [SV603: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV603 @ $false ) )
= $true )
| ( ( epsoo @ SV603 @ ( epso @ ( epsoo @ SV603 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1340]) ).
thf(1348,plain,
! [SV608: $o > $o,SV605: ( $o > $o ) > $o] :
( ( ( ~ ( SV605 @ SV608 ) )
= $true )
| ( ( SV605 @ ( epsoo @ SV605 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1341]) ).
thf(1349,plain,
! [SV605: ( $o > $o ) > $o] :
( ( ( ~ ( SV605
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( SV605 @ ( epsoo @ SV605 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1341]) ).
thf(1350,plain,
! [SV605: ( $o > $o ) > $o] :
( ( ( ~ ( SV605
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( SV605 @ ( epsoo @ SV605 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1341]) ).
thf(1351,plain,
! [SV605: ( $o > $o ) > $o] :
( ( ( ~ ( SV605
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( SV605 @ ( epsoo @ SV605 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1341]) ).
thf(1352,plain,
! [SV605: ( $o > $o ) > $o] :
( ( ( ~ ( SV605
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( SV605 @ ( epsoo @ SV605 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1341]) ).
thf(1356,plain,
! [SV607: $o,SV603: ( $o > $o ) > $o] :
( ( ( epsoo @ SV603 @ SV607 )
= $false )
| ( ( epsoo @ SV603 @ ( epso @ ( epsoo @ SV603 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1345]) ).
thf(1357,plain,
! [SV603: ( $o > $o ) > $o] :
( ( ( epsoo @ SV603 @ $true )
= $false )
| ( ( epsoo @ SV603 @ ( epso @ ( epsoo @ SV603 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1346]) ).
thf(1358,plain,
! [SV603: ( $o > $o ) > $o] :
( ( ( epsoo @ SV603 @ $false )
= $false )
| ( ( epsoo @ SV603 @ ( epso @ ( epsoo @ SV603 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1347]) ).
thf(1359,plain,
! [SV608: $o > $o,SV605: ( $o > $o ) > $o] :
( ( ( SV605 @ SV608 )
= $false )
| ( ( SV605 @ ( epsoo @ SV605 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1348]) ).
thf(1360,plain,
! [SV605: ( $o > $o ) > $o] :
( ( ( SV605
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV605 @ ( epsoo @ SV605 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1349]) ).
thf(1361,plain,
! [SV605: ( $o > $o ) > $o] :
( ( ( SV605
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV605 @ ( epsoo @ SV605 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1350]) ).
thf(1362,plain,
! [SV605: ( $o > $o ) > $o] :
( ( ( SV605
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV605 @ ( epsoo @ SV605 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1351]) ).
thf(1363,plain,
! [SV605: ( $o > $o ) > $o] :
( ( ( SV605
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV605 @ ( epsoo @ SV605 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1352]) ).
thf(1364,plain,
! [SV538: ( $o > $o ) > $o] :
( ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true )
| ( ( SV538
@ ^ [SX0: $o] : $false )
= $false ) ),
inference(extuni,[status(esa)],[1318:[bind(SV428,$thf( SV538 @ ( epsoo @ SV538 ) ))]]) ).
thf(1365,plain,
! [SV628: ( $o > $o ) > $o] :
( ( ( SV628
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV628 @ ( epsoo @ SV628 ) )
= $true ) ),
inference(rename,[status(thm)],[68]) ).
thf(1373,plain,
! [SV628: ( $o > $o ) > $o,SV428: $o] :
( ( ( ( SV628 @ ( epsoo @ SV628 ) )
= SV428 )
= $false )
| ( ( SV628
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(res,[status(thm)],[1365,1233]) ).
thf(1381,plain,
( ( ( epso
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(instantiate,[status(thm)],[1365:[bind(SV628,$thf( epso ))]]) ).
thf(1382,plain,
( ( ~ ~ ! [SY628: $o] : ~ SY628
| ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true ),
inference(choice,[status(thm)],[1365]) ).
thf(1383,plain,
( ( ( epso
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(instantiate,[status(thm)],[1365:[bind(SV628,$thf( epso ))]]) ).
thf(1384,plain,
! [SV628: ( $o > $o ) > $o] :
( ( ~ ~ ! [SV692: $o] :
~ ( epsoo @ SV628 @ SV692 )
| ( epsoo @ SV628 @ ( epso @ ( epsoo @ SV628 ) ) ) )
= $true ),
inference(choice,[status(thm)],[1365]) ).
thf(1385,plain,
! [SV693: ( $o > $o ) > $o] :
( ( ~ ~ ! [SX0: $o] :
~ ( epsoo @ SV693 @ SX0 )
| ( epsoo @ SV693 @ ( epso @ ( epsoo @ SV693 ) ) ) )
= $true ),
inference(rename,[status(thm)],[1384]) ).
thf(1386,plain,
! [SV628: ( $o > $o ) > $o] :
( ( ~ ~ ! [SV694: $o > $o] :
~ ( SV628 @ SV694 )
| ( SV628 @ ( epsoo @ SV628 ) ) )
= $true ),
inference(choice,[status(thm)],[1365]) ).
thf(1387,plain,
! [SV695: ( $o > $o ) > $o] :
( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV695 @ SX0 )
| ( SV695 @ ( epsoo @ SV695 ) ) )
= $true ),
inference(rename,[status(thm)],[1386]) ).
thf(1388,plain,
( ( ( ~ ~ ! [SY628: $o] : ~ SY628 )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1382]) ).
thf(1389,plain,
! [SV693: ( $o > $o ) > $o] :
( ( ( ~ ~ ! [SX0: $o] :
~ ( epsoo @ SV693 @ SX0 ) )
= $true )
| ( ( epsoo @ SV693 @ ( epso @ ( epsoo @ SV693 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1385]) ).
thf(1390,plain,
! [SV695: ( $o > $o ) > $o] :
( ( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV695 @ SX0 ) )
= $true )
| ( ( SV695 @ ( epsoo @ SV695 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1387]) ).
thf(1391,plain,
( ( ( ~ ! [SY628: $o] : ~ SY628 )
= $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1388]) ).
thf(1392,plain,
! [SV693: ( $o > $o ) > $o] :
( ( ( ~ ! [SX0: $o] :
~ ( epsoo @ SV693 @ SX0 ) )
= $false )
| ( ( epsoo @ SV693 @ ( epso @ ( epsoo @ SV693 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1389]) ).
thf(1393,plain,
! [SV695: ( $o > $o ) > $o] :
( ( ( ~ ! [SX0: $o > $o] :
~ ( SV695 @ SX0 ) )
= $false )
| ( ( SV695 @ ( epsoo @ SV695 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1390]) ).
thf(1394,plain,
( ( ( ! [SY628: $o] : ~ SY628 )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1391]) ).
thf(1395,plain,
! [SV693: ( $o > $o ) > $o] :
( ( ( ! [SX0: $o] :
~ ( epsoo @ SV693 @ SX0 ) )
= $true )
| ( ( epsoo @ SV693 @ ( epso @ ( epsoo @ SV693 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1392]) ).
thf(1396,plain,
! [SV695: ( $o > $o ) > $o] :
( ( ( ! [SX0: $o > $o] :
~ ( SV695 @ SX0 ) )
= $true )
| ( ( SV695 @ ( epsoo @ SV695 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1393]) ).
thf(1397,plain,
! [SV696: $o] :
( ( ( ~ SV696 )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1394]) ).
thf(1398,plain,
( ( ( ~ $true )
= $true )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1394]) ).
thf(1400,plain,
! [SV697: $o,SV693: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV693 @ SV697 ) )
= $true )
| ( ( epsoo @ SV693 @ ( epso @ ( epsoo @ SV693 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1395]) ).
thf(1401,plain,
! [SV693: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV693 @ $true ) )
= $true )
| ( ( epsoo @ SV693 @ ( epso @ ( epsoo @ SV693 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1395]) ).
thf(1402,plain,
! [SV693: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV693 @ $false ) )
= $true )
| ( ( epsoo @ SV693 @ ( epso @ ( epsoo @ SV693 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1395]) ).
thf(1403,plain,
! [SV698: $o > $o,SV695: ( $o > $o ) > $o] :
( ( ( ~ ( SV695 @ SV698 ) )
= $true )
| ( ( SV695 @ ( epsoo @ SV695 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1396]) ).
thf(1404,plain,
! [SV695: ( $o > $o ) > $o] :
( ( ( ~ ( SV695
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( SV695 @ ( epsoo @ SV695 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1396]) ).
thf(1405,plain,
! [SV695: ( $o > $o ) > $o] :
( ( ( ~ ( SV695
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( SV695 @ ( epsoo @ SV695 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1396]) ).
thf(1406,plain,
! [SV695: ( $o > $o ) > $o] :
( ( ( ~ ( SV695
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( SV695 @ ( epsoo @ SV695 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1396]) ).
thf(1407,plain,
! [SV695: ( $o > $o ) > $o] :
( ( ( ~ ( SV695
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( SV695 @ ( epsoo @ SV695 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1396]) ).
thf(1408,plain,
! [SV696: $o] :
( ( SV696 = $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1397]) ).
thf(1409,plain,
( ( $true = $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1398]) ).
thf(1411,plain,
! [SV697: $o,SV693: ( $o > $o ) > $o] :
( ( ( epsoo @ SV693 @ SV697 )
= $false )
| ( ( epsoo @ SV693 @ ( epso @ ( epsoo @ SV693 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1400]) ).
thf(1412,plain,
! [SV693: ( $o > $o ) > $o] :
( ( ( epsoo @ SV693 @ $true )
= $false )
| ( ( epsoo @ SV693 @ ( epso @ ( epsoo @ SV693 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1401]) ).
thf(1413,plain,
! [SV693: ( $o > $o ) > $o] :
( ( ( epsoo @ SV693 @ $false )
= $false )
| ( ( epsoo @ SV693 @ ( epso @ ( epsoo @ SV693 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1402]) ).
thf(1414,plain,
! [SV698: $o > $o,SV695: ( $o > $o ) > $o] :
( ( ( SV695 @ SV698 )
= $false )
| ( ( SV695 @ ( epsoo @ SV695 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1403]) ).
thf(1415,plain,
! [SV695: ( $o > $o ) > $o] :
( ( ( SV695
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV695 @ ( epsoo @ SV695 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1404]) ).
thf(1416,plain,
! [SV695: ( $o > $o ) > $o] :
( ( ( SV695
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV695 @ ( epsoo @ SV695 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1417,plain,
! [SV695: ( $o > $o ) > $o] :
( ( ( SV695
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV695 @ ( epsoo @ SV695 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1406]) ).
thf(1418,plain,
! [SV695: ( $o > $o ) > $o] :
( ( ( SV695
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV695 @ ( epsoo @ SV695 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1407]) ).
thf(1419,plain,
! [SV628: ( $o > $o ) > $o] :
( ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true )
| ( ( SV628
@ ^ [SX0: $o] : SX0 )
= $false ) ),
inference(extuni,[status(esa)],[1373:[bind(SV428,$thf( SV628 @ ( epsoo @ SV628 ) ))]]) ).
thf(1420,plain,
( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ),
inference(sim,[status(thm)],[1409]) ).
thf(1421,plain,
! [SV718: ( $o > $o ) > $o] :
( ( ( SV718
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV718 @ ( epsoo @ SV718 ) )
= $true ) ),
inference(rename,[status(thm)],[69]) ).
thf(1431,plain,
! [SV718: ( $o > $o ) > $o,SV428: $o] :
( ( ( ( SV718 @ ( epsoo @ SV718 ) )
= SV428 )
= $false )
| ( ( SV718
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(res,[status(thm)],[1421,1233]) ).
thf(1439,plain,
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(instantiate,[status(thm)],[1421:[bind(SV718,$thf( epso ))]]) ).
thf(1440,plain,
( ( ~ ~ ! [SY666: $o] :
~ ~ SY666
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ),
inference(choice,[status(thm)],[1421]) ).
thf(1441,plain,
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(instantiate,[status(thm)],[1421:[bind(SV718,$thf( epso ))]]) ).
thf(1442,plain,
! [SV718: ( $o > $o ) > $o] :
( ( ~ ~ ! [SV782: $o] :
~ ( epsoo @ SV718 @ SV782 )
| ( epsoo @ SV718 @ ( epso @ ( epsoo @ SV718 ) ) ) )
= $true ),
inference(choice,[status(thm)],[1421]) ).
thf(1443,plain,
! [SV783: ( $o > $o ) > $o] :
( ( ~ ~ ! [SX0: $o] :
~ ( epsoo @ SV783 @ SX0 )
| ( epsoo @ SV783 @ ( epso @ ( epsoo @ SV783 ) ) ) )
= $true ),
inference(rename,[status(thm)],[1442]) ).
thf(1444,plain,
! [SV718: ( $o > $o ) > $o] :
( ( ~ ~ ! [SV784: $o > $o] :
~ ( SV718 @ SV784 )
| ( SV718 @ ( epsoo @ SV718 ) ) )
= $true ),
inference(choice,[status(thm)],[1421]) ).
thf(1445,plain,
! [SV785: ( $o > $o ) > $o] :
( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV785 @ SX0 )
| ( SV785 @ ( epsoo @ SV785 ) ) )
= $true ),
inference(rename,[status(thm)],[1444]) ).
thf(1446,plain,
( ( ( ~ ~ ! [SY666: $o] :
~ ~ SY666 )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1440]) ).
thf(1447,plain,
! [SV783: ( $o > $o ) > $o] :
( ( ( ~ ~ ! [SX0: $o] :
~ ( epsoo @ SV783 @ SX0 ) )
= $true )
| ( ( epsoo @ SV783 @ ( epso @ ( epsoo @ SV783 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1443]) ).
thf(1448,plain,
! [SV785: ( $o > $o ) > $o] :
( ( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV785 @ SX0 ) )
= $true )
| ( ( SV785 @ ( epsoo @ SV785 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1445]) ).
thf(1449,plain,
( ( ( ~ ! [SY666: $o] :
~ ~ SY666 )
= $false )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1446]) ).
thf(1450,plain,
! [SV783: ( $o > $o ) > $o] :
( ( ( ~ ! [SX0: $o] :
~ ( epsoo @ SV783 @ SX0 ) )
= $false )
| ( ( epsoo @ SV783 @ ( epso @ ( epsoo @ SV783 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1447]) ).
thf(1451,plain,
! [SV785: ( $o > $o ) > $o] :
( ( ( ~ ! [SX0: $o > $o] :
~ ( SV785 @ SX0 ) )
= $false )
| ( ( SV785 @ ( epsoo @ SV785 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1448]) ).
thf(1452,plain,
( ( ( ! [SY666: $o] :
~ ~ SY666 )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1449]) ).
thf(1453,plain,
! [SV783: ( $o > $o ) > $o] :
( ( ( ! [SX0: $o] :
~ ( epsoo @ SV783 @ SX0 ) )
= $true )
| ( ( epsoo @ SV783 @ ( epso @ ( epsoo @ SV783 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1450]) ).
thf(1454,plain,
! [SV785: ( $o > $o ) > $o] :
( ( ( ! [SX0: $o > $o] :
~ ( SV785 @ SX0 ) )
= $true )
| ( ( SV785 @ ( epsoo @ SV785 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1451]) ).
thf(1455,plain,
! [SV786: $o] :
( ( ( ~ ~ SV786 )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1452]) ).
thf(1457,plain,
( ( ( ~ ~ $false )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1452]) ).
thf(1458,plain,
! [SV787: $o,SV783: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV783 @ SV787 ) )
= $true )
| ( ( epsoo @ SV783 @ ( epso @ ( epsoo @ SV783 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1453]) ).
thf(1459,plain,
! [SV783: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV783 @ $true ) )
= $true )
| ( ( epsoo @ SV783 @ ( epso @ ( epsoo @ SV783 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1453]) ).
thf(1460,plain,
! [SV783: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV783 @ $false ) )
= $true )
| ( ( epsoo @ SV783 @ ( epso @ ( epsoo @ SV783 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1453]) ).
thf(1461,plain,
! [SV788: $o > $o,SV785: ( $o > $o ) > $o] :
( ( ( ~ ( SV785 @ SV788 ) )
= $true )
| ( ( SV785 @ ( epsoo @ SV785 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1454]) ).
thf(1462,plain,
! [SV785: ( $o > $o ) > $o] :
( ( ( ~ ( SV785
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( SV785 @ ( epsoo @ SV785 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1454]) ).
thf(1463,plain,
! [SV785: ( $o > $o ) > $o] :
( ( ( ~ ( SV785
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( SV785 @ ( epsoo @ SV785 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1454]) ).
thf(1464,plain,
! [SV785: ( $o > $o ) > $o] :
( ( ( ~ ( SV785
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( SV785 @ ( epsoo @ SV785 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1454]) ).
thf(1465,plain,
! [SV785: ( $o > $o ) > $o] :
( ( ( ~ ( SV785
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( SV785 @ ( epsoo @ SV785 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1454]) ).
thf(1466,plain,
! [SV786: $o] :
( ( ( ~ SV786 )
= $false )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1455]) ).
thf(1468,plain,
( ( ( ~ $false )
= $false )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1457]) ).
thf(1469,plain,
! [SV787: $o,SV783: ( $o > $o ) > $o] :
( ( ( epsoo @ SV783 @ SV787 )
= $false )
| ( ( epsoo @ SV783 @ ( epso @ ( epsoo @ SV783 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1458]) ).
thf(1470,plain,
! [SV783: ( $o > $o ) > $o] :
( ( ( epsoo @ SV783 @ $true )
= $false )
| ( ( epsoo @ SV783 @ ( epso @ ( epsoo @ SV783 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1459]) ).
thf(1471,plain,
! [SV783: ( $o > $o ) > $o] :
( ( ( epsoo @ SV783 @ $false )
= $false )
| ( ( epsoo @ SV783 @ ( epso @ ( epsoo @ SV783 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1460]) ).
thf(1472,plain,
! [SV788: $o > $o,SV785: ( $o > $o ) > $o] :
( ( ( SV785 @ SV788 )
= $false )
| ( ( SV785 @ ( epsoo @ SV785 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1461]) ).
thf(1473,plain,
! [SV785: ( $o > $o ) > $o] :
( ( ( SV785
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV785 @ ( epsoo @ SV785 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1462]) ).
thf(1474,plain,
! [SV785: ( $o > $o ) > $o] :
( ( ( SV785
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV785 @ ( epsoo @ SV785 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1463]) ).
thf(1475,plain,
! [SV785: ( $o > $o ) > $o] :
( ( ( SV785
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV785 @ ( epsoo @ SV785 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1464]) ).
thf(1476,plain,
! [SV785: ( $o > $o ) > $o] :
( ( ( SV785
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV785 @ ( epsoo @ SV785 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1465]) ).
thf(1477,plain,
! [SV786: $o] :
( ( SV786 = $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1466]) ).
thf(1479,plain,
( ( $false = $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1468]) ).
thf(1480,plain,
! [SV786: $o] :
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( SV786 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1477]) ).
thf(1482,plain,
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1479]) ).
thf(1483,plain,
! [SV718: ( $o > $o ) > $o] :
( ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true )
| ( ( SV718
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extuni,[status(esa)],[1431:[bind(SV428,$thf( SV718 @ ( epsoo @ SV718 ) ))]]) ).
thf(1484,plain,
( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ),
inference(sim,[status(thm)],[1482]) ).
thf(1485,plain,
! [SV808: $o] :
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( SV808 = $true ) ),
inference(rename,[status(thm)],[73]) ).
thf(1489,plain,
! [SV808: $o,SV718: ( $o > $o ) > $o] :
( ( ( SV808
= ( SV718
@ ^ [SX0: $o] : ~ SX0 ) )
= $false )
| ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV718 @ ( epsoo @ SV718 ) )
= $true ) ),
inference(res,[status(thm)],[1485,1421]) ).
thf(1491,plain,
! [SV808: $o,SV628: ( $o > $o ) > $o] :
( ( ( SV808
= ( SV628
@ ^ [SX0: $o] : SX0 ) )
= $false )
| ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV628 @ ( epsoo @ SV628 ) )
= $true ) ),
inference(res,[status(thm)],[1485,1365]) ).
thf(1493,plain,
! [SV808: $o,SV538: ( $o > $o ) > $o] :
( ( ( SV808
= ( SV538
@ ^ [SX0: $o] : $false ) )
= $false )
| ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV538 @ ( epsoo @ SV538 ) )
= $true ) ),
inference(res,[status(thm)],[1485,1312]) ).
thf(1495,plain,
! [SV808: $o,SV448: ( $o > $o ) > $o] :
( ( ( SV808
= ( SV448
@ ^ [SX0: $o] : $true ) )
= $false )
| ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV448 @ ( epsoo @ SV448 ) )
= $true ) ),
inference(res,[status(thm)],[1485,1261]) ).
thf(1497,plain,
! [SV808: $o,SV428: $o] :
( ( ( SV808 = SV428 )
= $false )
| ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true ) ),
inference(res,[status(thm)],[1485,1233]) ).
thf(1499,plain,
! [SV808: $o,SV353: $o > $o] :
( ( ( SV808
= ( SV353 @ $false ) )
= $false )
| ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV353 @ ( epso @ SV353 ) )
= $true ) ),
inference(res,[status(thm)],[1485,1214]) ).
thf(1501,plain,
! [SV808: $o,SV278: $o > $o] :
( ( ( SV808
= ( SV278 @ $true ) )
= $false )
| ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV278 @ ( epso @ SV278 ) )
= $true ) ),
inference(res,[status(thm)],[1485,1197]) ).
thf(1502,plain,
! [SV808: $o] :
( ( ( SV808
= ( epsoo @ epso @ $true ) )
= $false )
| ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(res,[status(thm)],[1485,23]) ).
thf(1504,plain,
! [SV808: $o] :
( ( SV808 = $true )
| ( ( SV808
= ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1485]) ).
thf(1505,plain,
( ( ~ ~ ! [SY677: $o] :
~ ~ SY677
| ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ),
inference(choice,[status(thm)],[1485]) ).
thf(1506,plain,
( ( ( ~ ~ ! [SY677: $o] :
~ ~ SY677 )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1505]) ).
thf(1507,plain,
( ( ( ~ ! [SY677: $o] :
~ ~ SY677 )
= $false )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1506]) ).
thf(1508,plain,
( ( ( ! [SY677: $o] :
~ ~ SY677 )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1507]) ).
thf(1509,plain,
! [SV827: $o] :
( ( ( ~ ~ SV827 )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1508]) ).
thf(1511,plain,
( ( ( ~ ~ $false )
= $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1508]) ).
thf(1512,plain,
! [SV827: $o] :
( ( ( ~ SV827 )
= $false )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1509]) ).
thf(1514,plain,
( ( ( ~ $false )
= $false )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1511]) ).
thf(1515,plain,
! [SV827: $o] :
( ( SV827 = $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1512]) ).
thf(1517,plain,
( ( $false = $true )
| ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1514]) ).
thf(1518,plain,
! [SV827: $o] :
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( SV827 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1515]) ).
thf(1520,plain,
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1517]) ).
thf(1521,plain,
( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ),
inference(extuni,[status(esa)],[1502:[bind(SV808,$thf( epsoo @ epso @ $true ))]]) ).
thf(1522,plain,
! [SV278: $o > $o] :
( ( ( SV278 @ ( epso @ SV278 ) )
= $true )
| ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extuni,[status(esa)],[1501:[bind(SV808,$thf( SV278 @ $true ))]]) ).
thf(1523,plain,
! [SV353: $o > $o] :
( ( ( SV353 @ ( epso @ SV353 ) )
= $true )
| ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extuni,[status(esa)],[1499:[bind(SV808,$thf( SV353 @ $false ))]]) ).
thf(1524,plain,
( ( ( epso
@ ^ [SX0: $o] : SX0 )
= $true )
| ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extuni,[status(esa)],[1497:[bind(SV808,$thf( SV428 ))]]) ).
thf(1527,plain,
! [SV448: ( $o > $o ) > $o] :
( ( ( SV448 @ ( epsoo @ SV448 ) )
= $true )
| ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extuni,[status(esa)],[1495:[bind(SV808,$thf( SV448 @ ^ [SX0: $o] : $true ))]]) ).
thf(1528,plain,
! [SV538: ( $o > $o ) > $o] :
( ( ( SV538 @ ( epsoo @ SV538 ) )
= $true )
| ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extuni,[status(esa)],[1493:[bind(SV808,$thf( SV538 @ ^ [SX0: $o] : $false ))]]) ).
thf(1529,plain,
! [SV628: ( $o > $o ) > $o] :
( ( ( SV628 @ ( epsoo @ SV628 ) )
= $true )
| ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extuni,[status(esa)],[1491:[bind(SV808,$thf( SV628 @ ^ [SX0: $o] : SX0 ))]]) ).
thf(1530,plain,
! [SV718: ( $o > $o ) > $o] :
( ( ( SV718 @ ( epsoo @ SV718 ) )
= $true )
| ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ) ),
inference(extuni,[status(esa)],[1489:[bind(SV808,$thf( SV718 @ ^ [SX0: $o] : ~ ( SX0 ) ))]]) ).
thf(1533,plain,
( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true ),
inference(extuni,[status(esa)],[1504:[bind(SV808,$thf( ~ ( epso @ ^ [SX0: $o] : ~ ( SX0 ) ) ))]]) ).
thf(1536,plain,
( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1533]) ).
thf(1537,plain,
( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false ),
inference(sim,[status(thm)],[1520]) ).
thf(1546,plain,
( ( ~ ~ ! [SY679: $o] :
~ ~ SY679
| ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true ),
inference(choice,[status(thm)],[76]) ).
thf(1547,plain,
( ( ( ~ ~ ! [SY679: $o] :
~ ~ SY679 )
= $true )
| ( ( ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1546]) ).
thf(1548,plain,
( ( ( ~ ! [SY679: $o] :
~ ~ SY679 )
= $false )
| ( ( ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1547]) ).
thf(1549,plain,
( ( ( ! [SY679: $o] :
~ ~ SY679 )
= $true )
| ( ( ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1548]) ).
thf(1550,plain,
! [SV829: $o] :
( ( ( ~ ~ SV829 )
= $true )
| ( ( ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1549]) ).
thf(1552,plain,
( ( ( ~ ~ $false )
= $true )
| ( ( ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1549]) ).
thf(1553,plain,
! [SV829: $o] :
( ( ( ~ SV829 )
= $false )
| ( ( ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1550]) ).
thf(1555,plain,
( ( ( ~ $false )
= $false )
| ( ( ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1552]) ).
thf(1556,plain,
! [SV829: $o] :
( ( SV829 = $true )
| ( ( ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1553]) ).
thf(1558,plain,
( ( $false = $true )
| ( ( ~ ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1555]) ).
thf(1559,plain,
! [SV829: $o] :
( ( ( epso
@ ^ [SV11: $o] : ~ SV11 )
= $false )
| ( SV829 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1556]) ).
thf(1561,plain,
( ( ( epso
@ ^ [SV11: $o] : ~ SV11 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1558]) ).
thf(1566,plain,
( ( epso
@ ^ [SV11: $o] : ~ SV11 )
= $false ),
inference(sim,[status(thm)],[1561]) ).
thf(1575,plain,
( ( ~ ~ ! [SY681: $o] : ~ SY681
| ( epso
@ ^ [SV11: $o] : SV11 ) )
= $true ),
inference(choice,[status(thm)],[77]) ).
thf(1576,plain,
( ( ( ~ ~ ! [SY681: $o] : ~ SY681 )
= $true )
| ( ( epso
@ ^ [SV11: $o] : SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1575]) ).
thf(1577,plain,
( ( ( ~ ! [SY681: $o] : ~ SY681 )
= $false )
| ( ( epso
@ ^ [SV11: $o] : SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1576]) ).
thf(1578,plain,
( ( ( ! [SY681: $o] : ~ SY681 )
= $true )
| ( ( epso
@ ^ [SV11: $o] : SV11 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1577]) ).
thf(1579,plain,
! [SV831: $o] :
( ( ( ~ SV831 )
= $true )
| ( ( epso
@ ^ [SV11: $o] : SV11 )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1578]) ).
thf(1580,plain,
( ( ( ~ $true )
= $true )
| ( ( epso
@ ^ [SV11: $o] : SV11 )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1578]) ).
thf(1582,plain,
! [SV831: $o] :
( ( SV831 = $false )
| ( ( epso
@ ^ [SV11: $o] : SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1579]) ).
thf(1583,plain,
( ( $true = $false )
| ( ( epso
@ ^ [SV11: $o] : SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1580]) ).
thf(1589,plain,
( ( epso
@ ^ [SV11: $o] : SV11 )
= $true ),
inference(sim,[status(thm)],[1583]) ).
thf(1590,plain,
! [SV832: $o > $o] :
( ( ( epso @ SV832 )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(rename,[status(thm)],[276]) ).
thf(1605,plain,
! [SV832: $o > $o] :
( ( ( ( epso @ SV832 )
= ( epso
@ ^ [SV11: $o] : SV11 ) )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(res,[status(thm)],[1590,77]) ).
thf(1606,plain,
! [SV832: $o > $o] :
( ( ( ( epso @ ( epsoo @ epso ) )
= ( epso
@ ^ [SV11: $o] : ~ SV11 ) )
= $false )
| ( ( epso @ SV832 )
= $false ) ),
inference(res,[status(thm)],[1590,76]) ).
thf(1609,plain,
! [SV832: $o > $o] :
( ( ~ ~ ! [SV833: $o] :
~ ( SV832 @ SV833 )
| ( SV832 @ ( epso @ SV832 ) ) )
= $true ),
inference(choice,[status(thm)],[1590]) ).
thf(1610,plain,
! [SV834: $o > $o] :
( ( ~ ~ ! [SX0: $o] :
~ ( SV834 @ SX0 )
| ( SV834 @ ( epso @ SV834 ) ) )
= $true ),
inference(rename,[status(thm)],[1609]) ).
thf(1611,plain,
( ( ~ ~ ! [SV835: $o] :
~ ( epsoo @ epso @ SV835 )
| ( epsoo @ epso @ ( epso @ ( epsoo @ epso ) ) ) )
= $true ),
inference(choice,[status(thm)],[1590]) ).
thf(1612,plain,
( ( ~ ~ ! [SV836: $o > $o] :
~ ( epso @ SV836 )
| ( epso @ ( epsoo @ epso ) ) )
= $true ),
inference(choice,[status(thm)],[1590]) ).
thf(1613,plain,
! [SV834: $o > $o] :
( ( ( ~ ~ ! [SX0: $o] :
~ ( SV834 @ SX0 ) )
= $true )
| ( ( SV834 @ ( epso @ SV834 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1610]) ).
thf(1614,plain,
( ( ( ~ ~ ! [SV835: $o] :
~ ( epsoo @ epso @ SV835 ) )
= $true )
| ( ( epsoo @ epso @ ( epso @ ( epsoo @ epso ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1611]) ).
thf(1615,plain,
( ( ( ~ ~ ! [SV836: $o > $o] :
~ ( epso @ SV836 ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1612]) ).
thf(1616,plain,
! [SV834: $o > $o] :
( ( ( ~ ! [SX0: $o] :
~ ( SV834 @ SX0 ) )
= $false )
| ( ( SV834 @ ( epso @ SV834 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1613]) ).
thf(1617,plain,
( ( ( ~ ! [SV835: $o] :
~ ( epsoo @ epso @ SV835 ) )
= $false )
| ( ( epsoo @ epso @ ( epso @ ( epsoo @ epso ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1614]) ).
thf(1618,plain,
( ( ( ~ ! [SV836: $o > $o] :
~ ( epso @ SV836 ) )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1615]) ).
thf(1619,plain,
! [SV834: $o > $o] :
( ( ( ! [SX0: $o] :
~ ( SV834 @ SX0 ) )
= $true )
| ( ( SV834 @ ( epso @ SV834 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1616]) ).
thf(1620,plain,
( ( ( ! [SV835: $o] :
~ ( epsoo @ epso @ SV835 ) )
= $true )
| ( ( epsoo @ epso @ ( epso @ ( epsoo @ epso ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1617]) ).
thf(1621,plain,
( ( ( ! [SV836: $o > $o] :
~ ( epso @ SV836 ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1618]) ).
thf(1622,plain,
! [SV837: $o,SV834: $o > $o] :
( ( ( ~ ( SV834 @ SV837 ) )
= $true )
| ( ( SV834 @ ( epso @ SV834 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1619]) ).
thf(1623,plain,
! [SV834: $o > $o] :
( ( ( ~ ( SV834 @ $true ) )
= $true )
| ( ( SV834 @ ( epso @ SV834 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1619]) ).
thf(1624,plain,
! [SV834: $o > $o] :
( ( ( ~ ( SV834 @ $false ) )
= $true )
| ( ( SV834 @ ( epso @ SV834 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1619]) ).
thf(1625,plain,
! [SV838: $o] :
( ( ( ~ ( epsoo @ epso @ SV838 ) )
= $true )
| ( ( epsoo @ epso @ ( epso @ ( epsoo @ epso ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1620]) ).
thf(1626,plain,
( ( ( ~ ( epsoo @ epso @ $true ) )
= $true )
| ( ( epsoo @ epso @ ( epso @ ( epsoo @ epso ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1620]) ).
thf(1627,plain,
( ( ( ~ ( epsoo @ epso @ $false ) )
= $true )
| ( ( epsoo @ epso @ ( epso @ ( epsoo @ epso ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1620]) ).
thf(1628,plain,
! [SV839: $o > $o] :
( ( ( ~ ( epso @ SV839 ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1621]) ).
thf(1629,plain,
( ( ( ~ ( epso
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1621]) ).
thf(1630,plain,
( ( ( ~ ( epso
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1621]) ).
thf(1631,plain,
( ( ( ~ ( epso
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1621]) ).
thf(1632,plain,
( ( ( ~ ( epso
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1621]) ).
thf(1633,plain,
! [SV837: $o,SV834: $o > $o] :
( ( ( SV834 @ SV837 )
= $false )
| ( ( SV834 @ ( epso @ SV834 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1622]) ).
thf(1634,plain,
! [SV834: $o > $o] :
( ( ( SV834 @ $true )
= $false )
| ( ( SV834 @ ( epso @ SV834 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1623]) ).
thf(1635,plain,
! [SV834: $o > $o] :
( ( ( SV834 @ $false )
= $false )
| ( ( SV834 @ ( epso @ SV834 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1624]) ).
thf(1636,plain,
! [SV838: $o] :
( ( ( epsoo @ epso @ SV838 )
= $false )
| ( ( epsoo @ epso @ ( epso @ ( epsoo @ epso ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1625]) ).
thf(1637,plain,
( ( ( epsoo @ epso @ $true )
= $false )
| ( ( epsoo @ epso @ ( epso @ ( epsoo @ epso ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1626]) ).
thf(1638,plain,
( ( ( epsoo @ epso @ $false )
= $false )
| ( ( epsoo @ epso @ ( epso @ ( epsoo @ epso ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1627]) ).
thf(1639,plain,
! [SV839: $o > $o] :
( ( ( epso @ SV839 )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1628]) ).
thf(1640,plain,
( ( ( epso
@ ^ [SX0: $o] : $true )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1629]) ).
thf(1641,plain,
( ( ( epso
@ ^ [SX0: $o] : $false )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1630]) ).
thf(1642,plain,
( ( ( epso
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1631]) ).
thf(1643,plain,
( ( ( epso
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1632]) ).
thf(1644,plain,
! [SV832: $o > $o] :
( ( ( epso @ SV832 )
= $false )
| ( ( epsoo @ epso @ ( sK54_E @ SV832 ) )
= $true )
| ( ( ~ ( sK54_E @ SV832 ) )
= $true ) ),
inference(extuni,[status(esa)],[1606]) ).
thf(1645,plain,
! [SV832: $o > $o] :
( ( ( epso @ SV832 )
= $false )
| ( ( epsoo @ epso @ ( sK54_E @ SV832 ) )
= $false )
| ( ( ~ ( sK54_E @ SV832 ) )
= $false ) ),
inference(extuni,[status(esa)],[1606]) ).
thf(1646,plain,
( ( epso @ ( epsoo @ epso ) )
= $true ),
inference(extuni,[status(esa)],[1605:[bind(SV832,$thf( ^ [SX0: $o] : SX0 ))]]) ).
thf(1649,plain,
! [SV832: $o > $o] :
( ( ( sK54_E @ SV832 )
= $true )
| ( ( epsoo @ epso @ ( sK54_E @ SV832 ) )
= $false )
| ( ( epso @ SV832 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1645]) ).
thf(1650,plain,
! [SV832: $o > $o] :
( ( ( sK54_E @ SV832 )
= $false )
| ( ( epsoo @ epso @ ( sK54_E @ SV832 ) )
= $true )
| ( ( epso @ SV832 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1644]) ).
thf(1653,plain,
! [SV843: $o,SV844: $o > $o] :
( ( ( SV844 @ SV843 )
= $false )
| ( ( SV844 @ ( epso @ SV844 ) )
= $true ) ),
inference(rename,[status(thm)],[292]) ).
thf(1673,plain,
! [SV844: $o > $o] :
( ( ~ ~ ! [SV1074: $o] :
~ ( SV844 @ SV1074 )
| ( SV844 @ ( epso @ SV844 ) ) )
= $true ),
inference(choice,[status(thm)],[1653]) ).
thf(1674,plain,
! [SV1075: $o > $o] :
( ( ~ ~ ! [SX0: $o] :
~ ( SV1075 @ SX0 )
| ( SV1075 @ ( epso @ SV1075 ) ) )
= $true ),
inference(rename,[status(thm)],[1673]) ).
thf(1675,plain,
! [SV1075: $o > $o] :
( ( ( ~ ~ ! [SX0: $o] :
~ ( SV1075 @ SX0 ) )
= $true )
| ( ( SV1075 @ ( epso @ SV1075 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1674]) ).
thf(1676,plain,
! [SV1075: $o > $o] :
( ( ( ~ ! [SX0: $o] :
~ ( SV1075 @ SX0 ) )
= $false )
| ( ( SV1075 @ ( epso @ SV1075 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1675]) ).
thf(1677,plain,
! [SV1075: $o > $o] :
( ( ( ! [SX0: $o] :
~ ( SV1075 @ SX0 ) )
= $true )
| ( ( SV1075 @ ( epso @ SV1075 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1676]) ).
thf(1678,plain,
! [SV1076: $o,SV1075: $o > $o] :
( ( ( ~ ( SV1075 @ SV1076 ) )
= $true )
| ( ( SV1075 @ ( epso @ SV1075 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1677]) ).
thf(1679,plain,
! [SV1075: $o > $o] :
( ( ( ~ ( SV1075 @ $true ) )
= $true )
| ( ( SV1075 @ ( epso @ SV1075 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1677]) ).
thf(1680,plain,
! [SV1075: $o > $o] :
( ( ( ~ ( SV1075 @ $false ) )
= $true )
| ( ( SV1075 @ ( epso @ SV1075 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1677]) ).
thf(1681,plain,
! [SV1076: $o,SV1075: $o > $o] :
( ( ( SV1075 @ SV1076 )
= $false )
| ( ( SV1075 @ ( epso @ SV1075 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1678]) ).
thf(1682,plain,
! [SV1075: $o > $o] :
( ( ( SV1075 @ $true )
= $false )
| ( ( SV1075 @ ( epso @ SV1075 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1679]) ).
thf(1683,plain,
! [SV1075: $o > $o] :
( ( ( SV1075 @ $false )
= $false )
| ( ( SV1075 @ ( epso @ SV1075 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1680]) ).
thf(1692,plain,
! [SV1109: $o,SV1110: ( $o > $o ) > $o] :
( ( ( epsoo @ SV1110 @ SV1109 )
= $false )
| ( ( epsoo @ SV1110 @ ( epso @ ( epsoo @ SV1110 ) ) )
= $true ) ),
inference(rename,[status(thm)],[310]) ).
thf(1709,plain,
! [SV1109: $o,SV1110: ( $o > $o ) > $o] :
( ( ( ( epsoo @ SV1110 @ ( epso @ ( epsoo @ SV1110 ) ) )
= ( epsoo @ epso @ $true ) )
= $false )
| ( ( epsoo @ SV1110 @ SV1109 )
= $false ) ),
inference(res,[status(thm)],[1692,23]) ).
thf(1710,plain,
! [SV1109: $o,SV1110: ( $o > $o ) > $o] :
( ( ( ( epsoo @ SV1110 @ SV1109 )
= ( epsoo @ epso @ $false ) )
= $false )
| ( ( epsoo @ SV1110 @ ( epso @ ( epsoo @ SV1110 ) ) )
= $true ) ),
inference(res,[status(thm)],[1692,15]) ).
thf(1711,plain,
! [SV1110: ( $o > $o ) > $o] :
( ( ~ ~ ! [SV1111: $o > $o] :
~ ( SV1110 @ SV1111 )
| ( SV1110 @ ( epsoo @ SV1110 ) ) )
= $true ),
inference(choice,[status(thm)],[1692]) ).
thf(1712,plain,
! [SV1112: ( $o > $o ) > $o] :
( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV1112 @ SX0 )
| ( SV1112 @ ( epsoo @ SV1112 ) ) )
= $true ),
inference(rename,[status(thm)],[1711]) ).
thf(1713,plain,
! [SV1110: ( $o > $o ) > $o] :
( ( ~ ~ ! [SV1113: $o > $o] :
~ ( SV1110 @ SV1113 )
| ( SV1110 @ ( epsoo @ SV1110 ) ) )
= $true ),
inference(choice,[status(thm)],[1692]) ).
thf(1714,plain,
! [SV1114: ( $o > $o ) > $o] :
( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV1114 @ SX0 )
| ( SV1114 @ ( epsoo @ SV1114 ) ) )
= $true ),
inference(rename,[status(thm)],[1713]) ).
thf(1715,plain,
! [SV1110: ( $o > $o ) > $o] :
( ( ~ ~ ! [SV1115: $o] :
~ ( epsoo @ SV1110 @ SV1115 )
| ( epsoo @ SV1110 @ ( epso @ ( epsoo @ SV1110 ) ) ) )
= $true ),
inference(choice,[status(thm)],[1692]) ).
thf(1716,plain,
! [SV1116: ( $o > $o ) > $o] :
( ( ~ ~ ! [SX0: $o] :
~ ( epsoo @ SV1116 @ SX0 )
| ( epsoo @ SV1116 @ ( epso @ ( epsoo @ SV1116 ) ) ) )
= $true ),
inference(rename,[status(thm)],[1715]) ).
thf(1717,plain,
! [SV1110: ( $o > $o ) > $o] :
( ( ~ ~ ! [SV1117: $o > $o] :
~ ( SV1110 @ SV1117 )
| ( SV1110 @ ( epsoo @ SV1110 ) ) )
= $true ),
inference(choice,[status(thm)],[1692]) ).
thf(1718,plain,
! [SV1118: ( $o > $o ) > $o] :
( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV1118 @ SX0 )
| ( SV1118 @ ( epsoo @ SV1118 ) ) )
= $true ),
inference(rename,[status(thm)],[1717]) ).
thf(1719,plain,
! [SV1112: ( $o > $o ) > $o] :
( ( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV1112 @ SX0 ) )
= $true )
| ( ( SV1112 @ ( epsoo @ SV1112 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1712]) ).
thf(1720,plain,
! [SV1114: ( $o > $o ) > $o] :
( ( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV1114 @ SX0 ) )
= $true )
| ( ( SV1114 @ ( epsoo @ SV1114 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1714]) ).
thf(1721,plain,
! [SV1116: ( $o > $o ) > $o] :
( ( ( ~ ~ ! [SX0: $o] :
~ ( epsoo @ SV1116 @ SX0 ) )
= $true )
| ( ( epsoo @ SV1116 @ ( epso @ ( epsoo @ SV1116 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1716]) ).
thf(1722,plain,
! [SV1118: ( $o > $o ) > $o] :
( ( ( ~ ~ ! [SX0: $o > $o] :
~ ( SV1118 @ SX0 ) )
= $true )
| ( ( SV1118 @ ( epsoo @ SV1118 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1718]) ).
thf(1723,plain,
! [SV1112: ( $o > $o ) > $o] :
( ( ( ~ ! [SX0: $o > $o] :
~ ( SV1112 @ SX0 ) )
= $false )
| ( ( SV1112 @ ( epsoo @ SV1112 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1719]) ).
thf(1724,plain,
! [SV1114: ( $o > $o ) > $o] :
( ( ( ~ ! [SX0: $o > $o] :
~ ( SV1114 @ SX0 ) )
= $false )
| ( ( SV1114 @ ( epsoo @ SV1114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1720]) ).
thf(1725,plain,
! [SV1116: ( $o > $o ) > $o] :
( ( ( ~ ! [SX0: $o] :
~ ( epsoo @ SV1116 @ SX0 ) )
= $false )
| ( ( epsoo @ SV1116 @ ( epso @ ( epsoo @ SV1116 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1721]) ).
thf(1726,plain,
! [SV1118: ( $o > $o ) > $o] :
( ( ( ~ ! [SX0: $o > $o] :
~ ( SV1118 @ SX0 ) )
= $false )
| ( ( SV1118 @ ( epsoo @ SV1118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1722]) ).
thf(1727,plain,
! [SV1112: ( $o > $o ) > $o] :
( ( ( ! [SX0: $o > $o] :
~ ( SV1112 @ SX0 ) )
= $true )
| ( ( SV1112 @ ( epsoo @ SV1112 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1723]) ).
thf(1728,plain,
! [SV1114: ( $o > $o ) > $o] :
( ( ( ! [SX0: $o > $o] :
~ ( SV1114 @ SX0 ) )
= $true )
| ( ( SV1114 @ ( epsoo @ SV1114 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1724]) ).
thf(1729,plain,
! [SV1116: ( $o > $o ) > $o] :
( ( ( ! [SX0: $o] :
~ ( epsoo @ SV1116 @ SX0 ) )
= $true )
| ( ( epsoo @ SV1116 @ ( epso @ ( epsoo @ SV1116 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1725]) ).
thf(1730,plain,
! [SV1118: ( $o > $o ) > $o] :
( ( ( ! [SX0: $o > $o] :
~ ( SV1118 @ SX0 ) )
= $true )
| ( ( SV1118 @ ( epsoo @ SV1118 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1726]) ).
thf(1731,plain,
! [SV1119: $o > $o,SV1112: ( $o > $o ) > $o] :
( ( ( ~ ( SV1112 @ SV1119 ) )
= $true )
| ( ( SV1112 @ ( epsoo @ SV1112 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1727]) ).
thf(1732,plain,
! [SV1112: ( $o > $o ) > $o] :
( ( ( ~ ( SV1112
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( SV1112 @ ( epsoo @ SV1112 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1727]) ).
thf(1733,plain,
! [SV1112: ( $o > $o ) > $o] :
( ( ( ~ ( SV1112
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( SV1112 @ ( epsoo @ SV1112 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1727]) ).
thf(1734,plain,
! [SV1112: ( $o > $o ) > $o] :
( ( ( ~ ( SV1112
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( SV1112 @ ( epsoo @ SV1112 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1727]) ).
thf(1735,plain,
! [SV1112: ( $o > $o ) > $o] :
( ( ( ~ ( SV1112
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( SV1112 @ ( epsoo @ SV1112 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1727]) ).
thf(1736,plain,
! [SV1121: $o > $o,SV1114: ( $o > $o ) > $o] :
( ( ( ~ ( SV1114 @ SV1121 ) )
= $true )
| ( ( SV1114 @ ( epsoo @ SV1114 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1728]) ).
thf(1737,plain,
! [SV1114: ( $o > $o ) > $o] :
( ( ( ~ ( SV1114
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( SV1114 @ ( epsoo @ SV1114 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1728]) ).
thf(1738,plain,
! [SV1114: ( $o > $o ) > $o] :
( ( ( ~ ( SV1114
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( SV1114 @ ( epsoo @ SV1114 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1728]) ).
thf(1739,plain,
! [SV1114: ( $o > $o ) > $o] :
( ( ( ~ ( SV1114
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( SV1114 @ ( epsoo @ SV1114 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1728]) ).
thf(1740,plain,
! [SV1114: ( $o > $o ) > $o] :
( ( ( ~ ( SV1114
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( SV1114 @ ( epsoo @ SV1114 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1728]) ).
thf(1741,plain,
! [SV1123: $o,SV1116: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV1116 @ SV1123 ) )
= $true )
| ( ( epsoo @ SV1116 @ ( epso @ ( epsoo @ SV1116 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1729]) ).
thf(1742,plain,
! [SV1116: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV1116 @ $true ) )
= $true )
| ( ( epsoo @ SV1116 @ ( epso @ ( epsoo @ SV1116 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1729]) ).
thf(1743,plain,
! [SV1116: ( $o > $o ) > $o] :
( ( ( ~ ( epsoo @ SV1116 @ $false ) )
= $true )
| ( ( epsoo @ SV1116 @ ( epso @ ( epsoo @ SV1116 ) ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1729]) ).
thf(1744,plain,
! [SV1124: $o > $o,SV1118: ( $o > $o ) > $o] :
( ( ( ~ ( SV1118 @ SV1124 ) )
= $true )
| ( ( SV1118 @ ( epsoo @ SV1118 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1730]) ).
thf(1745,plain,
! [SV1118: ( $o > $o ) > $o] :
( ( ( ~ ( SV1118
@ ^ [SX0: $o] : $true ) )
= $true )
| ( ( SV1118 @ ( epsoo @ SV1118 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1730]) ).
thf(1746,plain,
! [SV1118: ( $o > $o ) > $o] :
( ( ( ~ ( SV1118
@ ^ [SX0: $o] : $false ) )
= $true )
| ( ( SV1118 @ ( epsoo @ SV1118 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1730]) ).
thf(1747,plain,
! [SV1118: ( $o > $o ) > $o] :
( ( ( ~ ( SV1118
@ ^ [SX0: $o] : SX0 ) )
= $true )
| ( ( SV1118 @ ( epsoo @ SV1118 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1730]) ).
thf(1748,plain,
! [SV1118: ( $o > $o ) > $o] :
( ( ( ~ ( SV1118
@ ^ [SX0: $o] : ~ SX0 ) )
= $true )
| ( ( SV1118 @ ( epsoo @ SV1118 ) )
= $true ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1730]) ).
thf(1749,plain,
! [SV1119: $o > $o,SV1112: ( $o > $o ) > $o] :
( ( ( SV1112 @ SV1119 )
= $false )
| ( ( SV1112 @ ( epsoo @ SV1112 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1731]) ).
thf(1750,plain,
! [SV1112: ( $o > $o ) > $o] :
( ( ( SV1112
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV1112 @ ( epsoo @ SV1112 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1732]) ).
thf(1751,plain,
! [SV1112: ( $o > $o ) > $o] :
( ( ( SV1112
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV1112 @ ( epsoo @ SV1112 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1733]) ).
thf(1752,plain,
! [SV1112: ( $o > $o ) > $o] :
( ( ( SV1112
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV1112 @ ( epsoo @ SV1112 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1734]) ).
thf(1753,plain,
! [SV1112: ( $o > $o ) > $o] :
( ( ( SV1112
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV1112 @ ( epsoo @ SV1112 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1735]) ).
thf(1754,plain,
! [SV1121: $o > $o,SV1114: ( $o > $o ) > $o] :
( ( ( SV1114 @ SV1121 )
= $false )
| ( ( SV1114 @ ( epsoo @ SV1114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1736]) ).
thf(1755,plain,
! [SV1114: ( $o > $o ) > $o] :
( ( ( SV1114
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV1114 @ ( epsoo @ SV1114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1737]) ).
thf(1756,plain,
! [SV1114: ( $o > $o ) > $o] :
( ( ( SV1114
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV1114 @ ( epsoo @ SV1114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1738]) ).
thf(1757,plain,
! [SV1114: ( $o > $o ) > $o] :
( ( ( SV1114
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV1114 @ ( epsoo @ SV1114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1739]) ).
thf(1758,plain,
! [SV1114: ( $o > $o ) > $o] :
( ( ( SV1114
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV1114 @ ( epsoo @ SV1114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1740]) ).
thf(1759,plain,
! [SV1123: $o,SV1116: ( $o > $o ) > $o] :
( ( ( epsoo @ SV1116 @ SV1123 )
= $false )
| ( ( epsoo @ SV1116 @ ( epso @ ( epsoo @ SV1116 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1741]) ).
thf(1760,plain,
! [SV1116: ( $o > $o ) > $o] :
( ( ( epsoo @ SV1116 @ $true )
= $false )
| ( ( epsoo @ SV1116 @ ( epso @ ( epsoo @ SV1116 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1742]) ).
thf(1761,plain,
! [SV1116: ( $o > $o ) > $o] :
( ( ( epsoo @ SV1116 @ $false )
= $false )
| ( ( epsoo @ SV1116 @ ( epso @ ( epsoo @ SV1116 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1743]) ).
thf(1762,plain,
! [SV1124: $o > $o,SV1118: ( $o > $o ) > $o] :
( ( ( SV1118 @ SV1124 )
= $false )
| ( ( SV1118 @ ( epsoo @ SV1118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1744]) ).
thf(1763,plain,
! [SV1118: ( $o > $o ) > $o] :
( ( ( SV1118
@ ^ [SX0: $o] : $true )
= $false )
| ( ( SV1118 @ ( epsoo @ SV1118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1745]) ).
thf(1764,plain,
! [SV1118: ( $o > $o ) > $o] :
( ( ( SV1118
@ ^ [SX0: $o] : $false )
= $false )
| ( ( SV1118 @ ( epsoo @ SV1118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1746]) ).
thf(1765,plain,
! [SV1118: ( $o > $o ) > $o] :
( ( ( SV1118
@ ^ [SX0: $o] : SX0 )
= $false )
| ( ( SV1118 @ ( epsoo @ SV1118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1747]) ).
thf(1766,plain,
! [SV1118: ( $o > $o ) > $o] :
( ( ( SV1118
@ ^ [SX0: $o] : ~ SX0 )
= $false )
| ( ( SV1118 @ ( epsoo @ SV1118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1748]) ).
thf(1767,plain,
( ( epsoo @ epso @ ( epso @ ( epsoo @ epso ) ) )
= $true ),
inference(extuni,[status(esa)],[1710:[bind(SV1109,$thf( $false )),bind(SV1110,$thf( epso ))]]) ).
thf(1769,plain,
! [SV1109: $o] :
( ( ( epsoo @ epso @ SV1109 )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $false )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[1709:[bind(SV1110,$thf( epso ))]]) ).
thf(1772,plain,
! [SV1109: $o] :
( ( ( epsoo @ epso @ SV1109 )
= $false )
| ( ( epso @ ( epsoo @ epso ) )
= $false ) ),
inference(sim,[status(thm)],[1769]) ).
thf(1781,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[15,1772,1767,1766,1765,1764,1763,1762,1761,1760,1759,1758,1757,1756,1755,1754,1753,1752,1751,1750,1749,1692,1683,1682,1681,1653,1650,1649,1646,1643,1642,1641,1640,1639,1638,1637,1636,1635,1634,1633,1590,1589,1582,1566,1559,1537,1536,1530,1529,1528,1527,1524,1523,1522,1521,1518,1484,1483,1480,1476,1475,1474,1473,1472,1471,1470,1469,1441,1439,1421,1420,1419,1418,1417,1416,1415,1414,1413,1412,1411,1408,1383,1381,1365,1364,1363,1362,1361,1360,1359,1358,1357,1356,1328,1326,1312,1311,1310,1309,1308,1307,1306,1305,1304,1303,1275,1273,1261,1260,1259,1255,1254,1253,1250,1232,1231,1230,1213,1212,1211,1194,1193,1192,1191,1190,1179,1178,1177,1176,1175,1165,1164,1163,1162,1161,1160,1159,1158,1157,1156,1155,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,1137,1136,1135,1134,1133,1132,1131,1130,1129,1128,1127,1126,1125,1124,1123,1122,1121,1120,1119,1118,1117,1116,1115,1114,1113,1112,1111,1110,1109,1108,1107,1106,1105,1104,1103,1102,1101,1100,1099,1098,1097,1096,1095,1094,1093,1092,1091,1090,1089,1088,1087,1086,1085,1084,1083,1082,1081,1080,1079,1078,387,384,381,378,375,350,349,348,347,346,345,344,343,339,338,337,336,335,334,333,332,329,328,327,326,325,324,323,322,77,76,23]) ).
thf(1782,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1781]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO559^1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 9 00:58:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34
% 0.13/0.34 No.of.Axioms: 2
% 0.13/0.34
% 0.13/0.34 Length.of.Defs: 0
% 0.13/0.34
% 0.13/0.34 Contains.Choice.Funs: true
% 0.13/0.35 (rf:0,axioms:2,ps:3,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:4,loop_count:0,foatp_calls:0,translation:fof_full).
% 0.13/0.38
% 0.13/0.38 *** Modified list of choice operators: epso ***
% 0.13/0.38
% 0.13/0.38 *** Modified list of choice operators: epsoo, epso ***
% 0.13/0.38 ..........................
% 2.62/2.79
% 2.62/2.79 Prim_subst applied to clause
% 2.62/2.79
% 2.62/2.79 1454:[ 0:<SV278@$true = $false>-w(1)-i() 1:<SV278@(epso@SV278) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 48)-o(AXIOM)-fv([ SV278 ])
% 2.62/2.84
% 2.62/2.84 Prim_subst applied to clause
% 2.62/2.84
% 2.62/2.84 1454:[ 0:<SV278@$true = $false>-w(1)-i() 1:<SV278@(epso@SV278) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 48)-o(AXIOM)-fv([ SV278 ])
% 2.72/2.89 .
% 3.46/3.67
% 3.46/3.67 Prim_subst applied to clause
% 3.46/3.67
% 3.46/3.67 1497:[ 0:<SV353@$false = $false>-w(1)-i() 1:<SV353@(epso@SV353) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 49)-o(AXIOM)-fv([ SV353 ])
% 3.54/3.72
% 3.54/3.72 Prim_subst applied to clause
% 3.54/3.72
% 3.54/3.72 1497:[ 0:<SV353@$false = $false>-w(1)-i() 1:<SV353@(epso@SV353) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 49)-o(AXIOM)-fv([ SV353 ])
% 3.63/3.78 .
% 4.57/4.73
% 4.57/4.73 Prim_subst applied to clause
% 4.57/4.73
% 4.57/4.73 1540:[ 0:<SV428 = $false>-w(1)-i() 1:<epso@(^[SX0:$o]: SX0) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 56)-o(AXIOM)-fv([ SV428 ])
% 4.72/4.90 .
% 5.64/5.83
% 5.64/5.83 Prim_subst applied to clause
% 5.64/5.83
% 5.64/5.83 1578:[ 0:<SV448@(^[SX0:$o]: $true) = $false>-w(1)-i() 1:<SV448@(epsoo@SV448) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 63)-o(AXIOM)-fv([ SV448 ])
% 5.70/5.89
% 5.70/5.89 Prim_subst applied to clause
% 5.70/5.89
% 5.70/5.89 1578:[ 0:<SV448@(^[SX0:$o]: $true) = $false>-w(1)-i() 1:<SV448@(epsoo@SV448) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 63)-o(AXIOM)-fv([ SV448 ])
% 5.80/5.97 ..
% 7.14/7.34
% 7.14/7.34 Prim_subst applied to clause
% 7.14/7.34
% 7.14/7.34 1655:[ 0:<SV538@(^[SX0:$o]: $false) = $false>-w(1)-i() 1:<SV538@(epsoo@SV538) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 64)-o(AXIOM)-fv([ SV538 ])
% 7.23/7.41
% 7.23/7.41 Prim_subst applied to clause
% 7.23/7.41
% 7.23/7.41 1655:[ 0:<SV538@(^[SX0:$o]: $false) = $false>-w(1)-i() 1:<SV538@(epsoo@SV538) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 64)-o(AXIOM)-fv([ SV538 ])
% 7.38/7.55 .
% 9.08/9.26
% 9.08/9.26 Prim_subst applied to clause
% 9.08/9.26
% 9.08/9.26 1732:[ 0:<SV628@(^[SX0:$o]: SX0) = $false>-w(1)-i() 1:<SV628@(epsoo@SV628) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 65)-o(AXIOM)-fv([ SV628 ])
% 9.18/9.34
% 9.18/9.34 Prim_subst applied to clause
% 9.18/9.34
% 9.18/9.34 1732:[ 0:<SV628@(^[SX0:$o]: SX0) = $false>-w(1)-i() 1:<SV628@(epsoo@SV628) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 65)-o(AXIOM)-fv([ SV628 ])
% 9.24/9.42 ..
% 11.67/11.83
% 11.67/11.83 Prim_subst applied to clause
% 11.67/11.83
% 11.67/11.83 1812:[ 0:<SV718@(^[SX0:$o]: (~ (SX0))) = $false>-w(1)-i() 1:<SV718@(epsoo@SV718) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 66)-o(AXIOM)-fv([ SV718 ])
% 11.72/11.94
% 11.72/11.94 Prim_subst applied to clause
% 11.72/11.94
% 11.72/11.94 1812:[ 0:<SV718@(^[SX0:$o]: (~ (SX0))) = $false>-w(1)-i() 1:<SV718@(epsoo@SV718) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 66)-o(AXIOM)-fv([ SV718 ])
% 11.90/12.07 ..eprover: CPU time limit exceeded, terminating
% 39.98/40.16
% 39.98/40.16
% 39.98/40.16 Prim_subst applied to clause
% 39.98/40.16
% 39.98/40.16 1902:[ 0:<epso@(^[SX0:$o]: (~ (SX0))) = $false>-w(1)-i() 1:<SV808 = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 70)-o(AXIOM)-fv([ SV808 ])
% 40.18/40.36 ...eprover: CPU time limit exceeded, terminating
% 74.95/75.14 .
% 75.09/75.25 (rf:0,axioms:2,ps:0,u:1,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:4,loop_count:0,foatp_calls:0,translation:fof_full)..
% 75.09/75.29
% 75.09/75.29 *** Modified list of choice operators: epso ***
% 75.09/75.29
% 75.09/75.29 *** Modified list of choice operators: epsoo, epso ***
% 75.13/75.29 ................
% 76.10/76.27
% 76.10/76.27 Prim_subst applied to clause
% 76.10/76.27
% 76.10/76.27 1197:[ 0:<SV278@$true = $false>-w(1)-i() 1:<SV278@(epso@SV278) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 51)-o(AXIOM)-fv([ SV278 ])
% 76.10/76.27
% 76.10/76.27 Prim_subst applied to clause
% 76.10/76.27
% 76.10/76.27 1197:[ 0:<SV278@$true = $false>-w(1)-i() 1:<SV278@(epso@SV278) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 51)-o(AXIOM)-fv([ SV278 ])
% 76.13/76.29 .
% 76.31/76.52
% 76.31/76.52 Prim_subst applied to clause
% 76.31/76.52
% 76.31/76.52 1214:[ 0:<SV353@$false = $false>-w(1)-i() 1:<SV353@(epso@SV353) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 52)-o(AXIOM)-fv([ SV353 ])
% 76.31/76.52
% 76.31/76.52 Prim_subst applied to clause
% 76.31/76.52
% 76.31/76.52 1214:[ 0:<SV353@$false = $false>-w(1)-i() 1:<SV353@(epso@SV353) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 52)-o(AXIOM)-fv([ SV353 ])
% 76.63/76.85 .
% 76.63/76.85
% 76.63/76.85 Prim_subst applied to clause
% 76.63/76.85
% 76.63/76.85 1233:[ 0:<SV428 = $false>-w(1)-i() 1:<epso@(^[SX0:$o]: SX0) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 59)-o(AXIOM)-fv([ SV428 ])
% 77.05/77.21
% 77.05/77.21 Prim_subst applied to clause
% 77.05/77.21
% 77.05/77.21 1261:[ 0:<SV448@(^[SX0:$o]: $true) = $false>-w(1)-i() 1:<SV448@(epsoo@SV448) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 66)-o(AXIOM)-fv([ SV448 ])
% 77.05/77.21
% 77.05/77.21 Prim_subst applied to clause
% 77.05/77.21
% 77.05/77.21 1261:[ 0:<SV448@(^[SX0:$o]: $true) = $false>-w(1)-i() 1:<SV448@(epsoo@SV448) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 66)-o(AXIOM)-fv([ SV448 ])
% 77.05/77.22 ..
% 77.47/77.69
% 77.47/77.69 Prim_subst applied to clause
% 77.47/77.69
% 77.47/77.69 1312:[ 0:<SV538@(^[SX0:$o]: $false) = $false>-w(1)-i() 1:<SV538@(epsoo@SV538) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 67)-o(AXIOM)-fv([ SV538 ])
% 77.47/77.69
% 77.47/77.69 Prim_subst applied to clause
% 77.47/77.69
% 77.47/77.69 1312:[ 0:<SV538@(^[SX0:$o]: $false) = $false>-w(1)-i() 1:<SV538@(epsoo@SV538) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 67)-o(AXIOM)-fv([ SV538 ])
% 77.55/77.72 .
% 78.14/78.31
% 78.14/78.31 Prim_subst applied to clause
% 78.14/78.31
% 78.14/78.31 1365:[ 0:<SV628@(^[SX0:$o]: SX0) = $false>-w(1)-i() 1:<SV628@(epsoo@SV628) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 68)-o(AXIOM)-fv([ SV628 ])
% 78.14/78.31
% 78.14/78.31 Prim_subst applied to clause
% 78.14/78.31
% 78.14/78.31 1365:[ 0:<SV628@(^[SX0:$o]: SX0) = $false>-w(1)-i() 1:<SV628@(epsoo@SV628) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 68)-o(AXIOM)-fv([ SV628 ])
% 78.14/78.33 ..
% 78.91/79.10
% 78.91/79.10 Prim_subst applied to clause
% 78.91/79.10
% 78.91/79.10 1421:[ 0:<SV718@(^[SX0:$o]: (~ (SX0))) = $false>-w(1)-i() 1:<SV718@(epsoo@SV718) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 69)-o(AXIOM)-fv([ SV718 ])
% 78.91/79.10
% 78.91/79.10 Prim_subst applied to clause
% 78.91/79.10
% 78.91/79.10 1421:[ 0:<SV718@(^[SX0:$o]: (~ (SX0))) = $false>-w(1)-i() 1:<SV718@(epsoo@SV718) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 69)-o(AXIOM)-fv([ SV718 ])
% 78.91/79.12 ..
% 79.83/80.11
% 79.83/80.11 Prim_subst applied to clause
% 79.83/80.11
% 79.83/80.11 1485:[ 0:<epso@(^[SX0:$o]: (~ (SX0))) = $false>-w(1)-i() 1:<SV808 = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 73)-o(AXIOM)-fv([ SV808 ])
% 80.94/81.12 .....
% 84.12/84.28
% 84.12/84.28 Prim_subst applied to clause
% 84.12/84.28
% 84.12/84.28 1653:[ 0:<SV844@SV843 = $false>-w(1)-i() 1:<SV844@(epso@SV844) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 292)-o(AXIOM)-fv([ SV843 SV844 ])
% 84.12/84.28
% 84.12/84.28 Prim_subst applied to clause
% 84.12/84.28
% 84.12/84.28 1653:[ 0:<SV844@SV843 = $false>-w(1)-i() 1:<SV844@(epso@SV844) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 292)-o(AXIOM)-fv([ SV843 SV844 ])
% 84.12/84.33 ....
% 87.20/87.41
% 87.20/87.41 ********************************
% 87.20/87.41 * All subproblems solved! *
% 87.20/87.41 ********************************
% 87.20/87.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:0,u:1,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1781,loop_count:50,foatp_calls:7,translation:fof_full)
% 87.66/87.83
% 87.66/87.83 %**** Beginning of derivation protocol ****
% 87.66/87.83 % SZS output start CNFRefutation
% See solution above
% 87.66/87.83
% 87.66/87.83 %**** End of derivation protocol ****
% 87.66/87.83 %**** no. of clauses in derivation: 1192 ****
% 87.66/87.83 %**** clause counter: 1781 ****
% 87.66/87.83
% 87.66/87.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:0,u:1,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1781,loop_count:50,foatp_calls:7,translation:fof_full)
%------------------------------------------------------------------------------