%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO543^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 11:08:42 AM UTC 2026
% Result : Theorem 1.80s 0.55s
% Output : CNFRefutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 2
% Syntax : Number of formulae : 341 ( 17 unt; 0 typ; 1 def)
% Number of atoms : 6077 (3173 equ; 0 cnn)
% Maximal formula atoms : 4 ( 17 avg)
% Number of connectives : 9068 (4790 ~;2805 |; 2 &;1471 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 858 ( 858 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 1066 ( 562 ^; 504 !; 0 ?;1066 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_epsii,type,
epsii: ( ( $i > $i ) > $o ) > $i > $i ).
thf(tp_if,type,
if: $o > ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(tp_sK1_B,type,
sK1_B: $o ).
thf(tp_sK2_SY0,type,
sK2_SY0: $i > $i ).
thf(tp_sK3_SV2,type,
sK3_SV2: $i ).
thf(tp_sK4_SV8,type,
sK4_SV8: ( $i > $i ) > $i ).
thf(tp_sK5_SV9,type,
sK5_SV9: ( $i > $i ) > $i ).
thf(tp_sK6_SV10,type,
sK6_SV10: ( $i > $i ) > $i ).
thf(tp_sK7_SV11,type,
sK7_SV11: ( $i > $i ) > $i ).
thf(tp_sK8_E,type,
sK8_E: $i ).
thf(if,definition,
( if
= ( ^ [B: $o,X: $i > $i,Y: $i > $i] :
( epsii
@ ^ [Z: $i > $i] :
( ( B
& ( Z = X ) )
| ( ~ B
& ( Z = Y ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifd) ).
thf(2,conjecture,
! [B: $o,X: $i > $i] :
( ( if @ B @ X @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(3,negated_conjecture,
( ( ! [B: $o,X: $i > $i] :
( ( if @ B @ X @ X )
= X ) )
= $false ),
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,plain,
( ( ! [SY0: $i > $i] :
( ( if @ sK1_B @ SY0 @ SY0 )
= SY0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ( if @ sK1_B @ sK2_SY0 @ sK2_SY0 )
= sK2_SY0 )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ( if @ sK1_B @ sK2_SY0 @ sK2_SY0 )
!= sK2_SY0 )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(9,plain,
( ( ( if @ sK1_B @ sK2_SY0 @ sK2_SY0 )
!= sK2_SY0 )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(10,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $true ),
inference(unfold_def,[status(thm)],[9,if]) ).
thf(12,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(14,plain,
( ( ! [SV2: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV2 )
= ( sK2_SY0 @ SV2 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[12]) ).
thf(17,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ sK3_SV2 )
= ( sK2_SY0 @ sK3_SV2 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[14]) ).
thf(19,plain,
( ( ~ ~ ! [SY4: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY4 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY4 != sK2_SY0 ) ) )
| ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ),
inference(choice,[status(thm)],[15]) ).
thf(20,plain,
( ( ~ ~ ! [SY6: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY6 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY6 != sK2_SY0 ) ) )
| ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ),
inference(choice,[status(thm)],[17]) ).
thf(21,plain,
( ( ( ~ ~ ! [SY4: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY4 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY4 != sK2_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(22,plain,
( ( ( ~ ~ ! [SY6: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY6 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY6 != sK2_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(23,plain,
( ( ( ~ ! [SY4: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY4 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY4 != sK2_SY0 ) ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(24,plain,
( ( ( ~ ! [SY6: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY6 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY6 != sK2_SY0 ) ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(25,plain,
( ( ( ! [SY4: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY4 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY4 != sK2_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(26,plain,
( ( ( ! [SY6: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY6 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY6 != sK2_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(27,plain,
! [SV6: $i > $i] :
( ( ( ~ ( ~ ( ~ sK1_B
| ( SV6 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SV6 != sK2_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(28,plain,
! [SV7: $i > $i] :
( ( ( ~ ( ~ ( ~ sK1_B
| ( SV7 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SV7 != sK2_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(29,plain,
! [SV6: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( SV6 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SV6 != sK2_SY0 ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(30,plain,
! [SV7: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( SV7 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SV7 != sK2_SY0 ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(31,plain,
! [SV6: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( SV6 != sK2_SY0 ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(32,plain,
! [SV6: $i > $i] :
( ( ( ~ ( ~ ~ sK1_B
| ( SV6 != sK2_SY0 ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(33,plain,
! [SV7: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( SV7 != sK2_SY0 ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(34,plain,
! [SV7: $i > $i] :
( ( ( ~ ( ~ ~ sK1_B
| ( SV7 != sK2_SY0 ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(35,plain,
! [SV6: $i > $i] :
( ( ( ~ sK1_B
| ( SV6 != sK2_SY0 ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(36,plain,
! [SV6: $i > $i] :
( ( ( ~ ~ sK1_B
| ( SV6 != sK2_SY0 ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(37,plain,
! [SV7: $i > $i] :
( ( ( ~ sK1_B
| ( SV7 != sK2_SY0 ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(38,plain,
! [SV7: $i > $i] :
( ( ( ~ ~ sK1_B
| ( SV7 != sK2_SY0 ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(39,plain,
! [SV6: $i > $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( SV6 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(40,plain,
! [SV6: $i > $i] :
( ( ( ~ ~ sK1_B )
= $true )
| ( ( SV6 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(41,plain,
! [SV7: $i > $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( SV7 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(42,plain,
! [SV7: $i > $i] :
( ( ( ~ ~ sK1_B )
= $true )
| ( ( SV7 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(43,plain,
! [SV6: $i > $i] :
( ( sK1_B = $false )
| ( ( SV6 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(44,plain,
! [SV6: $i > $i] :
( ( ( ~ sK1_B ) = $false )
| ( ( SV6 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(45,plain,
! [SV7: $i > $i] :
( ( sK1_B = $false )
| ( ( SV7 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(46,plain,
! [SV7: $i > $i] :
( ( ( ~ sK1_B ) = $false )
| ( ( SV7 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV6: $i > $i] :
( ( ( SV6 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV6: $i > $i] :
( ( sK1_B = $true )
| ( ( SV6 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(49,plain,
! [SV7: $i > $i] :
( ( ( SV7 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(50,plain,
! [SV7: $i > $i] :
( ( sK1_B = $true )
| ( ( SV7 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(51,plain,
! [SV6: $i > $i] :
( ( ( ! [SV8: $i] :
( ( SV6 @ SV8 )
= ( sK2_SY0 @ SV8 ) ) )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[47]) ).
thf(52,plain,
! [SV6: $i > $i] :
( ( ( SV6 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[47]) ).
thf(53,plain,
! [SV6: $i > $i] :
( ( ( SV6 = sK2_SY0 )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(54,plain,
! [SV7: $i > $i] :
( ( ( ! [SV9: $i] :
( ( SV7 @ SV9 )
= ( sK2_SY0 @ SV9 ) ) )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[49]) ).
thf(55,plain,
! [SV7: $i > $i] :
( ( ( SV7 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[49]) ).
thf(56,plain,
! [SV7: $i > $i] :
( ( ( SV7 = sK2_SY0 )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(57,plain,
! [SV6: $i > $i] :
( ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[51]) ).
thf(58,plain,
! [SV6: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(59,plain,
! [SV6: $i > $i] :
( ( ( ! [SV10: $i] :
( ( SV6 @ SV10 )
= ( sK2_SY0 @ SV10 ) ) )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[53]) ).
thf(60,plain,
! [SV6: $i > $i] :
( ( ( SV6 = sK2_SY0 )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[53]) ).
thf(61,plain,
! [SV7: $i > $i] :
( ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[54]) ).
thf(62,plain,
! [SV7: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(63,plain,
! [SV7: $i > $i] :
( ( ( ! [SV11: $i] :
( ( SV7 @ SV11 )
= ( sK2_SY0 @ SV11 ) ) )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[56]) ).
thf(64,plain,
! [SV7: $i > $i] :
( ( ( SV7 = sK2_SY0 )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[56]) ).
thf(65,plain,
! [SV6: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(66,plain,
! [SV6: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(67,plain,
! [SV6: $i > $i] :
( ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[59]) ).
thf(68,plain,
! [SV6: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(69,plain,
! [SV7: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(70,plain,
! [SV7: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(71,plain,
! [SV7: $i > $i] :
( ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[63]) ).
thf(72,plain,
! [SV7: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(73,plain,
! [SV6: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(75,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(76,plain,
! [SV6: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(77,plain,
! [SV6: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(78,plain,
! [SV7: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(80,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(81,plain,
! [SV7: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(82,plain,
! [SV7: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(84,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(86,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(87,plain,
! [SV6: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(88,plain,
! [SV6: $i > $i] :
( ( ( ~ sK1_B ) = $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(89,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(91,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(93,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(94,plain,
! [SV7: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(95,plain,
! [SV7: $i > $i] :
( ( ( ~ sK1_B ) = $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(96,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(98,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(100,plain,
! [SV6: $i > $i] :
( ( ( ! [SV12: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV12 )
= ( sK2_SY0 @ SV12 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[86]) ).
thf(101,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[86]) ).
thf(102,plain,
! [SV6: $i > $i] :
( ( ( ~ sK1_B ) = $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(103,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(104,plain,
! [SV6: $i > $i] :
( ( sK1_B = $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(105,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(107,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(109,plain,
! [SV7: $i > $i] :
( ( ( ! [SV13: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV13 )
= ( sK2_SY0 @ SV13 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[93]) ).
thf(110,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[93]) ).
thf(111,plain,
! [SV7: $i > $i] :
( ( ( ~ sK1_B ) = $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(112,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(113,plain,
! [SV7: $i > $i] :
( ( sK1_B = $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(114,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(116,plain,
! [SV6: $i > $i] :
( ( ( ! [SV14: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV14 )
= ( sK2_SY0 @ SV14 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[98]) ).
thf(117,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[98]) ).
thf(120,plain,
! [SV6: $i > $i,SV15: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK2_SY0 @ SV15 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(121,plain,
! [SV6: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(122,plain,
! [SV6: $i > $i] :
( ( sK1_B = $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(123,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(124,plain,
! [SV6: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(125,plain,
! [SV6: $i > $i] :
( ( ( ! [SV16: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV16 )
= ( sK2_SY0 @ SV16 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[105]) ).
thf(126,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[105]) ).
thf(128,plain,
! [SV7: $i > $i] :
( ( ( ! [SV17: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV17 )
= ( sK2_SY0 @ SV17 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[107]) ).
thf(129,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[107]) ).
thf(132,plain,
! [SV7: $i > $i,SV18: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK2_SY0 @ SV18 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(133,plain,
! [SV7: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(134,plain,
! [SV7: $i > $i] :
( ( sK1_B = $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(135,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(136,plain,
! [SV7: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(137,plain,
! [SV7: $i > $i] :
( ( ( ! [SV19: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV19 )
= ( sK2_SY0 @ SV19 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[114]) ).
thf(138,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[114]) ).
thf(141,plain,
! [SV6: $i > $i,SV20: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK2_SY0 @ SV20 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(142,plain,
! [SV6: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(145,plain,
! [SV6: $i > $i,SV15: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK2_SY0 @ SV15 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(146,plain,
! [SV6: $i > $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(147,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(148,plain,
! [SV6: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(149,plain,
! [SV6: $i > $i] :
( ( ( ! [SV21: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV21 )
= ( sK2_SY0 @ SV21 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[123]) ).
thf(150,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[123]) ).
thf(152,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(153,plain,
! [SV6: $i > $i,SV22: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV22 )
= ( sK2_SY0 @ SV22 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(154,plain,
! [SV6: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(157,plain,
! [SV7: $i > $i,SV23: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK2_SY0 @ SV23 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(158,plain,
! [SV7: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(161,plain,
! [SV7: $i > $i,SV18: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK2_SY0 @ SV18 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(162,plain,
! [SV7: $i > $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(163,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(164,plain,
! [SV7: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(165,plain,
! [SV7: $i > $i] :
( ( ( ! [SV24: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV24 )
= ( sK2_SY0 @ SV24 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[135]) ).
thf(166,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[135]) ).
thf(168,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(169,plain,
! [SV7: $i > $i,SV25: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV25 )
= ( sK2_SY0 @ SV25 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(170,plain,
! [SV7: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(173,plain,
! [SV6: $i > $i,SV20: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK2_SY0 @ SV20 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(174,plain,
! [SV6: $i > $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(175,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(179,plain,
! [SV6: $i > $i,SV15: $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK2_SY0 @ SV15 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(180,plain,
! [SV6: $i > $i,SV15: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK2_SY0 @ SV15 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(181,plain,
! [SV6: $i > $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(182,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(184,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(185,plain,
! [SV6: $i > $i,SV27: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV27 )
= ( sK2_SY0 @ SV27 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(186,plain,
! [SV6: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(188,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(189,plain,
! [SV6: $i > $i,SV22: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV22 )
= ( sK2_SY0 @ SV22 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(191,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(194,plain,
! [SV7: $i > $i,SV23: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK2_SY0 @ SV23 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(195,plain,
! [SV7: $i > $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(196,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(200,plain,
! [SV7: $i > $i,SV18: $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK2_SY0 @ SV18 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(201,plain,
! [SV7: $i > $i,SV18: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK2_SY0 @ SV18 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(202,plain,
! [SV7: $i > $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(203,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(205,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(206,plain,
! [SV7: $i > $i,SV29: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(207,plain,
! [SV7: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(209,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(210,plain,
! [SV7: $i > $i,SV25: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV25 )
= ( sK2_SY0 @ SV25 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(212,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[170]) ).
thf(216,plain,
! [SV6: $i > $i,SV20: $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK2_SY0 @ SV20 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(217,plain,
! [SV6: $i > $i,SV20: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK2_SY0 @ SV20 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(218,plain,
! [SV6: $i > $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(219,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(221,plain,
! [SV6: $i > $i,SV15: $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK2_SY0 @ SV15 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(222,plain,
! [SV6: $i > $i,SV15: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK2_SY0 @ SV15 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(223,plain,
! [SV6: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(224,plain,
! [SV6: $i > $i] :
( ( ( ! [SV32: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV32 )
= ( sK2_SY0 @ SV32 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[182]) ).
thf(225,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[182]) ).
thf(227,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(228,plain,
! [SV6: $i > $i,SV27: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV27 )
= ( sK2_SY0 @ SV27 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(230,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(232,plain,
! [SV6: $i > $i] :
( ( ( ! [SV33: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV33 )
= ( sK2_SY0 @ SV33 ) ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[188]) ).
thf(233,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[188]) ).
thf(235,plain,
! [SV6: $i > $i,SV22: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV22 )
= ( sK2_SY0 @ SV22 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(237,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(241,plain,
! [SV7: $i > $i,SV23: $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK2_SY0 @ SV23 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(242,plain,
! [SV7: $i > $i,SV23: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK2_SY0 @ SV23 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(243,plain,
! [SV7: $i > $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(244,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(246,plain,
! [SV7: $i > $i,SV18: $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK2_SY0 @ SV18 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(247,plain,
! [SV7: $i > $i,SV18: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK2_SY0 @ SV18 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(248,plain,
! [SV7: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(249,plain,
! [SV7: $i > $i] :
( ( ( ! [SV36: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV36 )
= ( sK2_SY0 @ SV36 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[203]) ).
thf(250,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[203]) ).
thf(252,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(253,plain,
! [SV7: $i > $i,SV29: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(255,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(257,plain,
! [SV7: $i > $i] :
( ( ( ! [SV37: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV37 )
= ( sK2_SY0 @ SV37 ) ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[209]) ).
thf(258,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[209]) ).
thf(260,plain,
! [SV7: $i > $i,SV25: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV25 )
= ( sK2_SY0 @ SV25 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(262,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(264,plain,
! [SV6: $i > $i,SV20: $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK2_SY0 @ SV20 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(265,plain,
! [SV6: $i > $i,SV20: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK2_SY0 @ SV20 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(266,plain,
! [SV6: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(267,plain,
! [SV6: $i > $i] :
( ( ( ! [SV39: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV39 )
= ( sK2_SY0 @ SV39 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[219]) ).
thf(268,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[219]) ).
thf(269,plain,
! [SV6: $i > $i,SV15: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK2_SY0 @ SV15 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(270,plain,
! [SV6: $i > $i,SV15: $i] :
( ( ( ! [SV40: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV40 )
= ( sK2_SY0 @ SV40 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK2_SY0 @ SV15 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[222]) ).
thf(271,plain,
! [SV6: $i > $i,SV15: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK2_SY0 @ SV15 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[222]) ).
thf(272,plain,
! [SV6: $i > $i,SV41: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV41 )
= ( sK2_SY0 @ SV41 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(274,plain,
! [SV6: $i > $i] :
( ( ( ! [SV42: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV42 )
= ( sK2_SY0 @ SV42 ) ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[227]) ).
thf(275,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[227]) ).
thf(277,plain,
! [SV6: $i > $i,SV27: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV27 )
= ( sK2_SY0 @ SV27 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(279,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(280,plain,
! [SV6: $i > $i,SV43: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV43 )
= ( sK2_SY0 @ SV43 ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(282,plain,
! [SV6: $i > $i,SV22: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV22 )
= ( sK2_SY0 @ SV22 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(284,plain,
! [SV6: $i > $i] :
( ( ( ! [SV44: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV44 )
= ( sK2_SY0 @ SV44 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[237]) ).
thf(285,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[237]) ).
thf(287,plain,
! [SV7: $i > $i,SV23: $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK2_SY0 @ SV23 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(288,plain,
! [SV7: $i > $i,SV23: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK2_SY0 @ SV23 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(289,plain,
! [SV7: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(290,plain,
! [SV7: $i > $i] :
( ( ( ! [SV46: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV46 )
= ( sK2_SY0 @ SV46 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[244]) ).
thf(291,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[244]) ).
thf(292,plain,
! [SV7: $i > $i,SV18: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK2_SY0 @ SV18 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(293,plain,
! [SV7: $i > $i,SV18: $i] :
( ( ( ! [SV47: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV47 )
= ( sK2_SY0 @ SV47 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK2_SY0 @ SV18 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[247]) ).
thf(294,plain,
! [SV7: $i > $i,SV18: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK2_SY0 @ SV18 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[247]) ).
thf(295,plain,
! [SV7: $i > $i,SV48: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV48 )
= ( sK2_SY0 @ SV48 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(297,plain,
! [SV7: $i > $i] :
( ( ( ! [SV49: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV49 )
= ( sK2_SY0 @ SV49 ) ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[252]) ).
thf(298,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[252]) ).
thf(300,plain,
! [SV7: $i > $i,SV29: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(302,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(303,plain,
! [SV7: $i > $i,SV50: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV50 )
= ( sK2_SY0 @ SV50 ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(305,plain,
! [SV7: $i > $i,SV25: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV25 )
= ( sK2_SY0 @ SV25 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(307,plain,
! [SV7: $i > $i] :
( ( ( ! [SV51: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV51 )
= ( sK2_SY0 @ SV51 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[262]) ).
thf(308,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[262]) ).
thf(309,plain,
! [SV6: $i > $i,SV20: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK2_SY0 @ SV20 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(310,plain,
! [SV6: $i > $i,SV20: $i] :
( ( ( ! [SV52: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV52 )
= ( sK2_SY0 @ SV52 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK2_SY0 @ SV20 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[265]) ).
thf(311,plain,
! [SV6: $i > $i,SV20: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK2_SY0 @ SV20 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[265]) ).
thf(312,plain,
! [SV6: $i > $i,SV53: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV53 )
= ( sK2_SY0 @ SV53 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(313,plain,
! [SV6: $i > $i,SV15: $i,SV54: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV54 )
= ( sK2_SY0 @ SV54 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK2_SY0 @ SV15 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(314,plain,
! [SV6: $i > $i,SV55: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV55 )
= ( sK2_SY0 @ SV55 ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(316,plain,
! [SV6: $i > $i,SV27: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV27 )
= ( sK2_SY0 @ SV27 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(318,plain,
! [SV6: $i > $i] :
( ( ( ! [SV56: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV56 )
= ( sK2_SY0 @ SV56 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[279]) ).
thf(319,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[279]) ).
thf(321,plain,
! [SV6: $i > $i,SV22: $i] :
( ( ( ! [SV57: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV57 )
= ( sK2_SY0 @ SV57 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV22 )
= ( sK2_SY0 @ SV22 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[282]) ).
thf(322,plain,
! [SV6: $i > $i,SV22: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV22 )
= ( sK2_SY0 @ SV22 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[282]) ).
thf(323,plain,
! [SV6: $i > $i,SV58: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV58 )
= ( sK2_SY0 @ SV58 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(324,plain,
! [SV7: $i > $i,SV23: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK2_SY0 @ SV23 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(325,plain,
! [SV7: $i > $i,SV23: $i] :
( ( ( ! [SV59: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV59 )
= ( sK2_SY0 @ SV59 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK2_SY0 @ SV23 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[288]) ).
thf(326,plain,
! [SV7: $i > $i,SV23: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK2_SY0 @ SV23 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[288]) ).
thf(327,plain,
! [SV7: $i > $i,SV60: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV60 )
= ( sK2_SY0 @ SV60 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(328,plain,
! [SV7: $i > $i,SV18: $i,SV61: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV61 )
= ( sK2_SY0 @ SV61 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK2_SY0 @ SV18 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(329,plain,
! [SV7: $i > $i,SV62: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV62 )
= ( sK2_SY0 @ SV62 ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(331,plain,
! [SV7: $i > $i,SV29: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(333,plain,
! [SV7: $i > $i] :
( ( ( ! [SV63: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV63 )
= ( sK2_SY0 @ SV63 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[302]) ).
thf(334,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[302]) ).
thf(336,plain,
! [SV7: $i > $i,SV25: $i] :
( ( ( ! [SV64: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV64 )
= ( sK2_SY0 @ SV64 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV25 )
= ( sK2_SY0 @ SV25 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[305]) ).
thf(337,plain,
! [SV7: $i > $i,SV25: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV25 )
= ( sK2_SY0 @ SV25 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[305]) ).
thf(338,plain,
! [SV7: $i > $i,SV65: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV65 )
= ( sK2_SY0 @ SV65 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(339,plain,
! [SV6: $i > $i,SV20: $i,SV66: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV66 )
= ( sK2_SY0 @ SV66 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK2_SY0 @ SV20 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(341,plain,
! [SV6: $i > $i,SV27: $i] :
( ( ( ! [SV67: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV67 )
= ( sK2_SY0 @ SV67 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV27 )
= ( sK2_SY0 @ SV27 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[316]) ).
thf(342,plain,
! [SV6: $i > $i,SV27: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV27 )
= ( sK2_SY0 @ SV27 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[316]) ).
thf(343,plain,
! [SV6: $i > $i,SV68: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV68 )
= ( sK2_SY0 @ SV68 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(344,plain,
! [SV6: $i > $i,SV22: $i,SV69: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV69 )
= ( sK2_SY0 @ SV69 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV22 )
= ( sK2_SY0 @ SV22 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(345,plain,
! [SV7: $i > $i,SV23: $i,SV70: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV70 )
= ( sK2_SY0 @ SV70 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK2_SY0 @ SV23 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(347,plain,
! [SV7: $i > $i,SV29: $i] :
( ( ( ! [SV71: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV71 )
= ( sK2_SY0 @ SV71 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[331]) ).
thf(348,plain,
! [SV7: $i > $i,SV29: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[331]) ).
thf(349,plain,
! [SV7: $i > $i,SV72: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV72 )
= ( sK2_SY0 @ SV72 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(350,plain,
! [SV7: $i > $i,SV25: $i,SV73: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV73 )
= ( sK2_SY0 @ SV73 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV25 )
= ( sK2_SY0 @ SV25 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(351,plain,
! [SV6: $i > $i,SV27: $i,SV74: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV74 )
= ( sK2_SY0 @ SV74 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV27 )
= ( sK2_SY0 @ SV27 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[341]) ).
thf(352,plain,
! [SV7: $i > $i,SV29: $i,SV75: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV75 )
= ( sK2_SY0 @ SV75 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(359,plain,
! [SV6: $i > $i,SV15: $i,SV83: $i] :
( ( ( SV6 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK2_SY0 @ SV15 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV83 )
= ( sK2_SY0 @ SV83 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[271]) ).
thf(360,plain,
! [SV6: $i > $i,SV84: $i] :
( ( ( SV6 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV84 )
= ( sK2_SY0 @ SV84 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[223]) ).
thf(361,plain,
! [SV6: $i > $i,SV41: $i,SV85: $i] :
( ( ( SV6 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV85 )
= ( sK2_SY0 @ SV85 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV41 )
= ( sK2_SY0 @ SV41 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[272]) ).
thf(362,plain,
! [SV6: $i > $i,SV86: $i,SV87: $i] :
( ( ( SV6 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV86 )
= ( sK2_SY0 @ SV86 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV87 )
= ( sK2_SY0 @ SV87 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[225]) ).
thf(368,plain,
! [SV6: $i > $i,SV94: $i] :
( ( ( SV6 = sK2_SY0 )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV94 )
= ( sK2_SY0 @ SV94 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[233]) ).
thf(369,plain,
! [SV6: $i > $i,SV22: $i,SV95: $i] :
( ( ( SV6 = sK2_SY0 )
= $false )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV22 )
= ( sK2_SY0 @ SV22 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV95 )
= ( sK2_SY0 @ SV95 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[322]) ).
thf(371,plain,
! [SV6: $i > $i,SV58: $i,SV97: $i] :
( ( ( SV6 = sK2_SY0 )
= $false )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV97 )
= ( sK2_SY0 @ SV97 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV58 )
= ( sK2_SY0 @ SV58 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[323]) ).
thf(372,plain,
! [SV6: $i > $i,SV98: $i,SV99: $i] :
( ( ( SV6 = sK2_SY0 )
= $false )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV98 )
= ( sK2_SY0 @ SV98 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV99 )
= ( sK2_SY0 @ SV99 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[285]) ).
thf(379,plain,
! [SV7: $i > $i,SV18: $i,SV107: $i] :
( ( ( SV7 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK2_SY0 @ SV18 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV107 )
= ( sK2_SY0 @ SV107 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[294]) ).
thf(380,plain,
! [SV7: $i > $i,SV108: $i] :
( ( ( SV7 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV108 )
= ( sK2_SY0 @ SV108 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[248]) ).
thf(381,plain,
! [SV7: $i > $i,SV48: $i,SV109: $i] :
( ( ( SV7 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV109 )
= ( sK2_SY0 @ SV109 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV48 )
= ( sK2_SY0 @ SV48 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[295]) ).
thf(382,plain,
! [SV7: $i > $i,SV110: $i,SV111: $i] :
( ( ( SV7 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV110 )
= ( sK2_SY0 @ SV110 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV111 )
= ( sK2_SY0 @ SV111 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[250]) ).
thf(388,plain,
! [SV7: $i > $i,SV118: $i] :
( ( ( SV7 = sK2_SY0 )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV118 )
= ( sK2_SY0 @ SV118 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[258]) ).
thf(389,plain,
! [SV7: $i > $i,SV25: $i,SV119: $i] :
( ( ( SV7 = sK2_SY0 )
= $false )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV25 )
= ( sK2_SY0 @ SV25 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV119 )
= ( sK2_SY0 @ SV119 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[337]) ).
thf(391,plain,
! [SV7: $i > $i,SV65: $i,SV121: $i] :
( ( ( SV7 = sK2_SY0 )
= $false )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV121 )
= ( sK2_SY0 @ SV121 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV65 )
= ( sK2_SY0 @ SV65 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[338]) ).
thf(392,plain,
! [SV7: $i > $i,SV122: $i,SV123: $i] :
( ( ( SV7 = sK2_SY0 )
= $false )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV122 )
= ( sK2_SY0 @ SV122 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV123 )
= ( sK2_SY0 @ SV123 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[308]) ).
thf(393,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ sK8_E )
= ( sK2_SY0 @ sK8_E ) )
= $false ),
inference(extuni,[status(esa)],[15]) ).
thf(397,plain,
! [SV15: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK2_SY0 @ SV15 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[269:[bind(SV6,$thf( sK2_SY0 ))]]) ).
thf(398,plain,
! [SV54: $i,SV15: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK2_SY0 @ SV15 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV54 )
= ( sK2_SY0 @ SV54 ) )
= $true ) ),
inference(extuni,[status(esa)],[313:[bind(SV6,$thf( sK2_SY0 ))]]) ).
thf(399,plain,
! [SV15: $i,SV83: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV83 )
= ( sK2_SY0 @ SV83 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK2_SY0 @ SV15 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[359:[bind(SV6,$thf( sK2_SY0 ))]]) ).
thf(400,plain,
! [SV84: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV84 )
= ( sK2_SY0 @ SV84 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[360:[bind(SV6,$thf( sK2_SY0 ))]]) ).
thf(401,plain,
! [SV85: $i,SV41: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV41 )
= ( sK2_SY0 @ SV41 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV85 )
= ( sK2_SY0 @ SV85 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[361:[bind(SV6,$thf( sK2_SY0 ))]]) ).
thf(402,plain,
! [SV86: $i,SV87: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV87 )
= ( sK2_SY0 @ SV87 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV86 )
= ( sK2_SY0 @ SV86 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[362:[bind(SV6,$thf( sK2_SY0 ))]]) ).
thf(404,plain,
! [SV43: $i] :
( ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV43 )
= ( sK2_SY0 @ SV43 ) )
= $true ) ),
inference(extuni,[status(esa)],[280:[bind(SV6,$thf( sK2_SY0 ))]]) ).
thf(405,plain,
! [SV94: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV94 )
= ( sK2_SY0 @ SV94 ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[368:[bind(SV6,$thf( sK2_SY0 ))]]) ).
thf(407,plain,
! [SV69: $i,SV22: $i] :
( ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV22 )
= ( sK2_SY0 @ SV22 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV69 )
= ( sK2_SY0 @ SV69 ) )
= $true ) ),
inference(extuni,[status(esa)],[344:[bind(SV6,$thf( sK2_SY0 ))]]) ).
thf(408,plain,
! [SV22: $i,SV95: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV95 )
= ( sK2_SY0 @ SV95 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV22 )
= ( sK2_SY0 @ SV22 ) )
= $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[369:[bind(SV6,$thf( sK2_SY0 ))]]) ).
thf(410,plain,
! [SV97: $i,SV58: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV58 )
= ( sK2_SY0 @ SV58 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV97 )
= ( sK2_SY0 @ SV97 ) )
= $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[371:[bind(SV6,$thf( sK2_SY0 ))]]) ).
thf(411,plain,
! [SV98: $i,SV99: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV99 )
= ( sK2_SY0 @ SV99 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV98 )
= ( sK2_SY0 @ SV98 ) )
= $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[372:[bind(SV6,$thf( sK2_SY0 ))]]) ).
thf(415,plain,
! [SV18: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK2_SY0 @ SV18 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[292:[bind(SV7,$thf( sK2_SY0 ))]]) ).
thf(416,plain,
! [SV61: $i,SV18: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK2_SY0 @ SV18 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV61 )
= ( sK2_SY0 @ SV61 ) )
= $true ) ),
inference(extuni,[status(esa)],[328:[bind(SV7,$thf( sK2_SY0 ))]]) ).
thf(417,plain,
! [SV18: $i,SV107: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV107 )
= ( sK2_SY0 @ SV107 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK2_SY0 @ SV18 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[379:[bind(SV7,$thf( sK2_SY0 ))]]) ).
thf(418,plain,
! [SV108: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV108 )
= ( sK2_SY0 @ SV108 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[380:[bind(SV7,$thf( sK2_SY0 ))]]) ).
thf(419,plain,
! [SV109: $i,SV48: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV48 )
= ( sK2_SY0 @ SV48 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV109 )
= ( sK2_SY0 @ SV109 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[381:[bind(SV7,$thf( sK2_SY0 ))]]) ).
thf(420,plain,
! [SV110: $i,SV111: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV111 )
= ( sK2_SY0 @ SV111 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV110 )
= ( sK2_SY0 @ SV110 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[382:[bind(SV7,$thf( sK2_SY0 ))]]) ).
thf(422,plain,
! [SV50: $i] :
( ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV50 )
= ( sK2_SY0 @ SV50 ) )
= $true ) ),
inference(extuni,[status(esa)],[303:[bind(SV7,$thf( sK2_SY0 ))]]) ).
thf(423,plain,
! [SV118: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV118 )
= ( sK2_SY0 @ SV118 ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[388:[bind(SV7,$thf( sK2_SY0 ))]]) ).
thf(425,plain,
! [SV73: $i,SV25: $i] :
( ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV25 )
= ( sK2_SY0 @ SV25 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV73 )
= ( sK2_SY0 @ SV73 ) )
= $true ) ),
inference(extuni,[status(esa)],[350:[bind(SV7,$thf( sK2_SY0 ))]]) ).
thf(426,plain,
! [SV25: $i,SV119: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV119 )
= ( sK2_SY0 @ SV119 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV25 )
= ( sK2_SY0 @ SV25 ) )
= $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[389:[bind(SV7,$thf( sK2_SY0 ))]]) ).
thf(428,plain,
! [SV121: $i,SV65: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV65 )
= ( sK2_SY0 @ SV65 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV121 )
= ( sK2_SY0 @ SV121 ) )
= $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[391:[bind(SV7,$thf( sK2_SY0 ))]]) ).
thf(429,plain,
! [SV122: $i,SV123: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV123 )
= ( sK2_SY0 @ SV123 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV122 )
= ( sK2_SY0 @ SV122 ) )
= $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[392:[bind(SV7,$thf( sK2_SY0 ))]]) ).
thf(430,plain,
! [SV6: $i > $i,SV20: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK2_SY0 @ SV20 ) )
= $true )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(sim,[status(thm)],[309]) ).
thf(431,plain,
! [SV6: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(sim,[status(thm)],[266]) ).
thf(432,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK2_SY0 @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(sim,[status(thm)],[268]) ).
thf(433,plain,
! [SV6: $i > $i,SV15: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK2_SY0 @ SV15 ) )
= $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[269]) ).
thf(434,plain,
! [SV6: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[223]) ).
thf(435,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[225]) ).
thf(436,plain,
! [SV6: $i > $i,SV55: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV55 )
= ( sK2_SY0 @ SV55 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(sim,[status(thm)],[314]) ).
thf(437,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(sim,[status(thm)],[275]) ).
thf(438,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV6 @ ( sK6_SV10 @ SV6 ) )
= ( sK2_SY0 @ ( sK6_SV10 @ SV6 ) ) )
= $false ) ),
inference(sim,[status(thm)],[319]) ).
thf(439,plain,
! [SV6: $i > $i,SV43: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV43 )
= ( sK2_SY0 @ SV43 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[280]) ).
thf(440,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[233]) ).
thf(441,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV6 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[285]) ).
thf(442,plain,
! [SV7: $i > $i,SV23: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK2_SY0 @ SV23 ) )
= $true )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(sim,[status(thm)],[324]) ).
thf(443,plain,
! [SV7: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(sim,[status(thm)],[289]) ).
thf(444,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK2_SY0 @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(sim,[status(thm)],[291]) ).
thf(445,plain,
! [SV7: $i > $i,SV18: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK2_SY0 @ SV18 ) )
= $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[292]) ).
thf(446,plain,
! [SV7: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[248]) ).
thf(447,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[250]) ).
thf(448,plain,
! [SV7: $i > $i,SV62: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV62 )
= ( sK2_SY0 @ SV62 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(sim,[status(thm)],[329]) ).
thf(449,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(sim,[status(thm)],[298]) ).
thf(450,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV7 @ ( sK7_SV11 @ SV7 ) )
= ( sK2_SY0 @ ( sK7_SV11 @ SV7 ) ) )
= $false ) ),
inference(sim,[status(thm)],[334]) ).
thf(451,plain,
! [SV7: $i > $i,SV50: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV50 )
= ( sK2_SY0 @ SV50 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[303]) ).
thf(452,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[258]) ).
thf(453,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV7 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[308]) ).
thf(454,plain,
! [SV15: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK2_SY0 @ SV15 ) )
= $true ) ),
inference(sim,[status(thm)],[397]) ).
thf(455,plain,
! [SV84: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV84 )
= ( sK2_SY0 @ SV84 ) )
= $true ) ),
inference(sim,[status(thm)],[400]) ).
thf(456,plain,
! [SV43: $i] :
( ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV43 )
= ( sK2_SY0 @ SV43 ) )
= $true ) ),
inference(sim,[status(thm)],[404]) ).
thf(457,plain,
! [SV94: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV94 )
= ( sK2_SY0 @ SV94 ) )
= $true )
| ( sK1_B = $true ) ),
inference(sim,[status(thm)],[405]) ).
thf(458,plain,
! [SV18: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK2_SY0 @ SV18 ) )
= $true ) ),
inference(sim,[status(thm)],[415]) ).
thf(459,plain,
! [SV108: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV108 )
= ( sK2_SY0 @ SV108 ) )
= $true ) ),
inference(sim,[status(thm)],[418]) ).
thf(460,plain,
! [SV50: $i] :
( ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV50 )
= ( sK2_SY0 @ SV50 ) )
= $true ) ),
inference(sim,[status(thm)],[422]) ).
thf(461,plain,
! [SV118: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK2_SY0 ) ) )
@ SV118 )
= ( sK2_SY0 @ SV118 ) )
= $true )
| ( sK1_B = $true ) ),
inference(sim,[status(thm)],[423]) ).
thf(462,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[15,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,426,425,420,419,417,416,411,410,408,407,402,401,399,398,393,352,351,350,349,348,345,344,343,342,339,338,337,328,327,326,323,322,313,312,311,295,294,272,271,17]) ).
thf(463,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[462]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO543^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.18 % Computer : n006.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Oct 6 17:42:07 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.80/0.55
% 1.80/0.55 No.of.Axioms: 1
% 1.80/0.55
% 1.80/0.55 Length.of.Defs: 184
% 1.80/0.55
% 1.80/0.55 Contains.Choice.Funs: true
% 1.80/0.55
% 1.80/0.55 *** Modified list of choice operators: epsii ***
% 1.80/0.55 ..........
% 1.80/0.55
% 1.80/0.55 ********************************
% 1.80/0.55 * All subproblems solved! *
% 1.80/0.55 ********************************
% 1.80/0.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:462,loop_count:0,foatp_calls:2,translation:fof_experiment)
% 1.80/0.55
% 1.80/0.55 %**** Beginning of derivation protocol ****
% 1.80/0.55 % SZS output start CNFRefutation
% See solution above
% 1.80/0.55
% 1.80/0.55 %**** End of derivation protocol ****
% 1.80/0.55 %**** no. of clauses in derivation: 340 ****
% 1.80/0.55 %**** clause counter: 462 ****
% 1.80/0.55
% 1.80/0.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:462,loop_count:0,foatp_calls:2,translation:fof_experiment)
%------------------------------------------------------------------------------