%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO542^1 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 11:08:41 AM UTC 2026
% Result : Theorem 5.95s 1.22s
% Output : CNFRefutation 5.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 2
% Syntax : Number of formulae : 663 ( 30 unt; 0 typ; 1 def)
% Number of atoms : 11979 (6253 equ; 0 cnn)
% Maximal formula atoms : 4 ( 18 avg)
% Number of connectives : 17993 (9523 ~;5555 |; 4 &;2911 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1688 (1688 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 7 con; 0-4 aty)
% Number of variables : 2101 (1110 ^; 991 !; 0 ?;2101 :)
% 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_sK10_SV17,type,
sK10_SV17: ( $i > $i ) > $i ).
thf(tp_sK11_SV18,type,
sK11_SV18: ( $i > $i ) > $i ).
thf(tp_sK12_SV19,type,
sK12_SV19: ( $i > $i ) > $i ).
thf(tp_sK13_SV20,type,
sK13_SV20: ( $i > $i ) > $i ).
thf(tp_sK14_E,type,
sK14_E: $i ).
thf(tp_sK15_E,type,
sK15_E: $i ).
thf(tp_sK1_B,type,
sK1_B: $o ).
thf(tp_sK2_SY0,type,
sK2_SY0: $i > $i ).
thf(tp_sK3_SY2,type,
sK3_SY2: $i > $i ).
thf(tp_sK4_SV3,type,
sK4_SV3: $i ).
thf(tp_sK5_SV4,type,
sK5_SV4: $i ).
thf(tp_sK6_SV13,type,
sK6_SV13: ( $i > $i ) > $i ).
thf(tp_sK7_SV14,type,
sK7_SV14: ( $i > $i ) > $i ).
thf(tp_sK8_SV15,type,
sK8_SV15: ( $i > $i ) > $i ).
thf(tp_sK9_SV16,type,
sK9_SV16: ( $i > $i ) > $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/sandbox/benchmark/theBenchmark.p',ifd) ).
thf(2,conjecture,
! [B: $o,X: $i > $i,Y: $i > $i] :
( ( ( if @ B @ X @ Y )
= X )
| ( ( if @ B @ X @ Y )
= Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(3,negated_conjecture,
( ( ! [B: $o,X: $i > $i,Y: $i > $i] :
( ( ( if @ B @ X @ Y )
= X )
| ( ( if @ B @ X @ Y )
= Y ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,plain,
( ( ! [SY0: $i > $i,SY1: $i > $i] :
( ( ( if @ sK1_B @ SY0 @ SY1 )
= SY0 )
| ( ( if @ sK1_B @ SY0 @ SY1 )
= SY1 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY2: $i > $i] :
( ( ( if @ sK1_B @ sK2_SY0 @ SY2 )
= sK2_SY0 )
| ( ( if @ sK1_B @ sK2_SY0 @ SY2 )
= SY2 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ( ( if @ sK1_B @ sK2_SY0 @ sK3_SY2 )
= sK2_SY0 )
| ( ( if @ sK1_B @ sK2_SY0 @ sK3_SY2 )
= sK3_SY2 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ~ ( ( ( if @ sK1_B @ sK2_SY0 @ sK3_SY2 )
= sK2_SY0 )
| ( ( if @ sK1_B @ sK2_SY0 @ sK3_SY2 )
= sK3_SY2 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( ( ( if @ sK1_B @ sK2_SY0 @ sK3_SY2 )
!= sK2_SY0 )
& ( ( if @ sK1_B @ sK2_SY0 @ sK3_SY2 )
!= sK3_SY2 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(11,plain,
( ( ( ( if @ sK1_B @ sK2_SY0 @ sK3_SY2 )
!= sK2_SY0 )
& ( ( if @ sK1_B @ sK2_SY0 @ sK3_SY2 )
!= sK3_SY2 ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(12,plain,
( ( ~ ( ~ ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11,if]) ).
thf(14,plain,
( ( ~ ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(16,plain,
( ( ~ ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(19,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(22,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(24,plain,
( ( ! [SV3: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV3 )
= ( sK2_SY0 @ SV3 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[22]) ).
thf(25,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[22]) ).
thf(26,plain,
( ( ! [SV4: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV4 )
= ( sK3_SY2 @ SV4 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[23]) ).
thf(27,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[23]) ).
thf(28,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ sK4_SV3 )
= ( sK2_SY0 @ sK4_SV3 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[24]) ).
thf(29,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ sK5_SV4 )
= ( sK3_SY2 @ sK5_SV4 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[26]) ).
thf(30,plain,
( ( ~ ~ ! [SY8: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY8 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY8 != sK3_SY2 ) ) )
| ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ),
inference(choice,[status(thm)],[25]) ).
thf(31,plain,
( ( ~ ~ ! [SY10: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY10 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY10 != sK3_SY2 ) ) )
| ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ),
inference(choice,[status(thm)],[27]) ).
thf(32,plain,
( ( ~ ~ ! [SY12: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY12 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY12 != sK3_SY2 ) ) )
| ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ),
inference(choice,[status(thm)],[28]) ).
thf(33,plain,
( ( ~ ~ ! [SY14: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY14 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY14 != sK3_SY2 ) ) )
| ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ),
inference(choice,[status(thm)],[29]) ).
thf(34,plain,
( ( ( ~ ~ ! [SY8: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY8 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY8 != sK3_SY2 ) ) ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(35,plain,
( ( ( ~ ~ ! [SY10: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY10 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY10 != sK3_SY2 ) ) ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(36,plain,
( ( ( ~ ~ ! [SY12: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY12 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY12 != sK3_SY2 ) ) ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(37,plain,
( ( ( ~ ~ ! [SY14: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY14 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY14 != sK3_SY2 ) ) ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(38,plain,
( ( ( ~ ! [SY8: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY8 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY8 != sK3_SY2 ) ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(39,plain,
( ( ( ~ ! [SY10: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY10 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY10 != sK3_SY2 ) ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(40,plain,
( ( ( ~ ! [SY12: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY12 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY12 != sK3_SY2 ) ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(41,plain,
( ( ( ~ ! [SY14: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY14 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY14 != sK3_SY2 ) ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(42,plain,
( ( ( ! [SY8: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY8 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY8 != sK3_SY2 ) ) ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(43,plain,
( ( ( ! [SY10: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY10 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY10 != sK3_SY2 ) ) ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(44,plain,
( ( ( ! [SY12: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY12 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY12 != sK3_SY2 ) ) ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(45,plain,
( ( ( ! [SY14: $i > $i] :
~ ( ~ ( ~ sK1_B
| ( SY14 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SY14 != sK3_SY2 ) ) ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(46,plain,
! [SV9: $i > $i] :
( ( ( ~ ( ~ ( ~ sK1_B
| ( SV9 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SV9 != sK3_SY2 ) ) ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV10: $i > $i] :
( ( ( ~ ( ~ ( ~ sK1_B
| ( SV10 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SV10 != sK3_SY2 ) ) ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV11: $i > $i] :
( ( ( ~ ( ~ ( ~ sK1_B
| ( SV11 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SV11 != sK3_SY2 ) ) ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(49,plain,
! [SV12: $i > $i] :
( ( ( ~ ( ~ ( ~ sK1_B
| ( SV12 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SV12 != sK3_SY2 ) ) ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(50,plain,
! [SV9: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( SV9 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SV9 != sK3_SY2 ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(51,plain,
! [SV10: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( SV10 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SV10 != sK3_SY2 ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(52,plain,
! [SV11: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( SV11 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SV11 != sK3_SY2 ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(53,plain,
! [SV12: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( SV12 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SV12 != sK3_SY2 ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(54,plain,
! [SV9: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( SV9 != sK2_SY0 ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(55,plain,
! [SV9: $i > $i] :
( ( ( ~ ( ~ ~ sK1_B
| ( SV9 != sK3_SY2 ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(56,plain,
! [SV10: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( SV10 != sK2_SY0 ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(57,plain,
! [SV10: $i > $i] :
( ( ( ~ ( ~ ~ sK1_B
| ( SV10 != sK3_SY2 ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(58,plain,
! [SV11: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( SV11 != sK2_SY0 ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(59,plain,
! [SV11: $i > $i] :
( ( ( ~ ( ~ ~ sK1_B
| ( SV11 != sK3_SY2 ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(60,plain,
! [SV12: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( SV12 != sK2_SY0 ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(61,plain,
! [SV12: $i > $i] :
( ( ( ~ ( ~ ~ sK1_B
| ( SV12 != sK3_SY2 ) ) )
= $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(62,plain,
! [SV9: $i > $i] :
( ( ( ~ sK1_B
| ( SV9 != sK2_SY0 ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(63,plain,
! [SV9: $i > $i] :
( ( ( ~ ~ sK1_B
| ( SV9 != sK3_SY2 ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(64,plain,
! [SV10: $i > $i] :
( ( ( ~ sK1_B
| ( SV10 != sK2_SY0 ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(65,plain,
! [SV10: $i > $i] :
( ( ( ~ ~ sK1_B
| ( SV10 != sK3_SY2 ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(66,plain,
! [SV11: $i > $i] :
( ( ( ~ sK1_B
| ( SV11 != sK2_SY0 ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(67,plain,
! [SV11: $i > $i] :
( ( ( ~ ~ sK1_B
| ( SV11 != sK3_SY2 ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(68,plain,
! [SV12: $i > $i] :
( ( ( ~ sK1_B
| ( SV12 != sK2_SY0 ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(69,plain,
! [SV12: $i > $i] :
( ( ( ~ ~ sK1_B
| ( SV12 != sK3_SY2 ) )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(70,plain,
! [SV9: $i > $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( SV9 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(71,plain,
! [SV9: $i > $i] :
( ( ( ~ ~ sK1_B )
= $true )
| ( ( SV9 != sK3_SY2 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(72,plain,
! [SV10: $i > $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( SV10 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(73,plain,
! [SV10: $i > $i] :
( ( ( ~ ~ sK1_B )
= $true )
| ( ( SV10 != sK3_SY2 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(74,plain,
! [SV11: $i > $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( SV11 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(75,plain,
! [SV11: $i > $i] :
( ( ( ~ ~ sK1_B )
= $true )
| ( ( SV11 != sK3_SY2 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(76,plain,
! [SV12: $i > $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( SV12 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(77,plain,
! [SV12: $i > $i] :
( ( ( ~ ~ sK1_B )
= $true )
| ( ( SV12 != sK3_SY2 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(78,plain,
! [SV9: $i > $i] :
( ( sK1_B = $false )
| ( ( SV9 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(79,plain,
! [SV9: $i > $i] :
( ( ( ~ sK1_B ) = $false )
| ( ( SV9 != sK3_SY2 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(80,plain,
! [SV10: $i > $i] :
( ( sK1_B = $false )
| ( ( SV10 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(81,plain,
! [SV10: $i > $i] :
( ( ( ~ sK1_B ) = $false )
| ( ( SV10 != sK3_SY2 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(82,plain,
! [SV11: $i > $i] :
( ( sK1_B = $false )
| ( ( SV11 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(83,plain,
! [SV11: $i > $i] :
( ( ( ~ sK1_B ) = $false )
| ( ( SV11 != sK3_SY2 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(84,plain,
! [SV12: $i > $i] :
( ( sK1_B = $false )
| ( ( SV12 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(85,plain,
! [SV12: $i > $i] :
( ( ( ~ sK1_B ) = $false )
| ( ( SV12 != sK3_SY2 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(86,plain,
! [SV9: $i > $i] :
( ( ( SV9 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(87,plain,
! [SV9: $i > $i] :
( ( sK1_B = $true )
| ( ( SV9 != sK3_SY2 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(88,plain,
! [SV10: $i > $i] :
( ( ( SV10 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(89,plain,
! [SV10: $i > $i] :
( ( sK1_B = $true )
| ( ( SV10 != sK3_SY2 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(90,plain,
! [SV11: $i > $i] :
( ( ( SV11 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(91,plain,
! [SV11: $i > $i] :
( ( sK1_B = $true )
| ( ( SV11 != sK3_SY2 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(92,plain,
! [SV12: $i > $i] :
( ( ( SV12 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(93,plain,
! [SV12: $i > $i] :
( ( sK1_B = $true )
| ( ( SV12 != sK3_SY2 )
= $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(94,plain,
! [SV9: $i > $i] :
( ( ( ! [SV13: $i] :
( ( SV9 @ SV13 )
= ( sK2_SY0 @ SV13 ) ) )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[86]) ).
thf(95,plain,
! [SV9: $i > $i] :
( ( ( SV9 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[86]) ).
thf(96,plain,
! [SV9: $i > $i] :
( ( ( SV9 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(97,plain,
! [SV10: $i > $i] :
( ( ( ! [SV14: $i] :
( ( SV10 @ SV14 )
= ( sK2_SY0 @ SV14 ) ) )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[88]) ).
thf(98,plain,
! [SV10: $i > $i] :
( ( ( SV10 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[88]) ).
thf(99,plain,
! [SV10: $i > $i] :
( ( ( SV10 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(100,plain,
! [SV11: $i > $i] :
( ( ( ! [SV15: $i] :
( ( SV11 @ SV15 )
= ( sK2_SY0 @ SV15 ) ) )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[90]) ).
thf(101,plain,
! [SV11: $i > $i] :
( ( ( SV11 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[90]) ).
thf(102,plain,
! [SV11: $i > $i] :
( ( ( SV11 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(103,plain,
! [SV12: $i > $i] :
( ( ( ! [SV16: $i] :
( ( SV12 @ SV16 )
= ( sK2_SY0 @ SV16 ) ) )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[92]) ).
thf(104,plain,
! [SV12: $i > $i] :
( ( ( SV12 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[92]) ).
thf(105,plain,
! [SV12: $i > $i] :
( ( ( SV12 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(106,plain,
! [SV9: $i > $i] :
( ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[94]) ).
thf(107,plain,
! [SV9: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(108,plain,
! [SV9: $i > $i] :
( ( ( ! [SV17: $i] :
( ( SV9 @ SV17 )
= ( sK3_SY2 @ SV17 ) ) )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[96]) ).
thf(109,plain,
! [SV9: $i > $i] :
( ( ( SV9 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[96]) ).
thf(110,plain,
! [SV10: $i > $i] :
( ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[97]) ).
thf(111,plain,
! [SV10: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(112,plain,
! [SV10: $i > $i] :
( ( ( ! [SV18: $i] :
( ( SV10 @ SV18 )
= ( sK3_SY2 @ SV18 ) ) )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[99]) ).
thf(113,plain,
! [SV10: $i > $i] :
( ( ( SV10 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[99]) ).
thf(114,plain,
! [SV11: $i > $i] :
( ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[100]) ).
thf(115,plain,
! [SV11: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(116,plain,
! [SV11: $i > $i] :
( ( ( ! [SV19: $i] :
( ( SV11 @ SV19 )
= ( sK3_SY2 @ SV19 ) ) )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[102]) ).
thf(117,plain,
! [SV11: $i > $i] :
( ( ( SV11 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[102]) ).
thf(118,plain,
! [SV12: $i > $i] :
( ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false )
| ( sK1_B = $false )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[103]) ).
thf(119,plain,
! [SV12: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(120,plain,
! [SV12: $i > $i] :
( ( ( ! [SV20: $i] :
( ( SV12 @ SV20 )
= ( sK3_SY2 @ SV20 ) ) )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[105]) ).
thf(121,plain,
! [SV12: $i > $i] :
( ( ( SV12 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[105]) ).
thf(122,plain,
! [SV9: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(123,plain,
! [SV9: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(124,plain,
! [SV9: $i > $i] :
( ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[108]) ).
thf(125,plain,
! [SV9: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(126,plain,
! [SV10: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(127,plain,
! [SV10: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(128,plain,
! [SV10: $i > $i] :
( ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[112]) ).
thf(129,plain,
! [SV10: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(130,plain,
! [SV11: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(131,plain,
! [SV11: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(132,plain,
! [SV11: $i > $i] :
( ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[116]) ).
thf(133,plain,
! [SV11: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(134,plain,
! [SV12: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(135,plain,
! [SV12: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(136,plain,
! [SV12: $i > $i] :
( ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false )
| ( sK1_B = $true )
| ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[120]) ).
thf(137,plain,
! [SV12: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(138,plain,
! [SV9: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(140,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(141,plain,
! [SV9: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(142,plain,
! [SV9: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(143,plain,
! [SV10: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(145,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(146,plain,
! [SV10: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(147,plain,
! [SV10: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(148,plain,
! [SV11: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(150,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(151,plain,
! [SV11: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(152,plain,
! [SV11: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(153,plain,
! [SV12: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(155,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(156,plain,
! [SV12: $i > $i] :
( ( ( ~ ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(157,plain,
! [SV12: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(159,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(161,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(162,plain,
! [SV9: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(163,plain,
! [SV9: $i > $i] :
( ( ( ~ sK1_B ) = $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(164,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(166,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(168,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(169,plain,
! [SV10: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(170,plain,
! [SV10: $i > $i] :
( ( ( ~ sK1_B ) = $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(171,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(173,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(175,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(176,plain,
! [SV11: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(177,plain,
! [SV11: $i > $i] :
( ( ( ~ sK1_B ) = $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(178,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(180,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(182,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(183,plain,
! [SV12: $i > $i] :
( ( ( ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(184,plain,
! [SV12: $i > $i] :
( ( ( ~ sK1_B ) = $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(185,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(187,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(189,plain,
! [SV9: $i > $i] :
( ( ( ! [SV21: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV21 )
= ( sK2_SY0 @ SV21 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[161]) ).
thf(190,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[161]) ).
thf(191,plain,
! [SV9: $i > $i] :
( ( ( ~ sK1_B ) = $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(192,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(193,plain,
! [SV9: $i > $i] :
( ( sK1_B = $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(194,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(196,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(198,plain,
! [SV10: $i > $i] :
( ( ( ! [SV22: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV22 )
= ( sK2_SY0 @ SV22 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[168]) ).
thf(199,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[168]) ).
thf(200,plain,
! [SV10: $i > $i] :
( ( ( ~ sK1_B ) = $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(201,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(202,plain,
! [SV10: $i > $i] :
( ( sK1_B = $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(203,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(205,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(207,plain,
! [SV11: $i > $i] :
( ( ( ! [SV23: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV23 )
= ( sK2_SY0 @ SV23 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[175]) ).
thf(208,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[175]) ).
thf(209,plain,
! [SV11: $i > $i] :
( ( ( ~ sK1_B ) = $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(210,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(211,plain,
! [SV11: $i > $i] :
( ( sK1_B = $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(212,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(214,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(216,plain,
! [SV12: $i > $i] :
( ( ( ! [SV24: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV24 )
= ( sK2_SY0 @ SV24 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[182]) ).
thf(217,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[182]) ).
thf(218,plain,
! [SV12: $i > $i] :
( ( ( ~ sK1_B ) = $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(219,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(220,plain,
! [SV12: $i > $i] :
( ( sK1_B = $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(221,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(223,plain,
! [SV9: $i > $i] :
( ( ( ! [SV25: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV25 )
= ( sK2_SY0 @ SV25 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[187]) ).
thf(224,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[187]) ).
thf(227,plain,
! [SV9: $i > $i,SV26: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV26 )
= ( sK2_SY0 @ SV26 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(228,plain,
! [SV9: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(229,plain,
! [SV9: $i > $i] :
( ( sK1_B = $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(230,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(231,plain,
! [SV9: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(232,plain,
! [SV9: $i > $i] :
( ( ( ! [SV27: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV27 )
= ( sK2_SY0 @ SV27 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[194]) ).
thf(233,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[194]) ).
thf(235,plain,
! [SV10: $i > $i] :
( ( ( ! [SV28: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV28 )
= ( sK2_SY0 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[196]) ).
thf(236,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[196]) ).
thf(239,plain,
! [SV10: $i > $i,SV29: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(240,plain,
! [SV10: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(241,plain,
! [SV10: $i > $i] :
( ( sK1_B = $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(242,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(243,plain,
! [SV10: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(244,plain,
! [SV10: $i > $i] :
( ( ( ! [SV30: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV30 )
= ( sK2_SY0 @ SV30 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[203]) ).
thf(245,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[203]) ).
thf(247,plain,
! [SV11: $i > $i] :
( ( ( ! [SV31: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV31 )
= ( sK2_SY0 @ SV31 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[205]) ).
thf(248,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[205]) ).
thf(251,plain,
! [SV11: $i > $i,SV32: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV32 )
= ( sK2_SY0 @ SV32 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(252,plain,
! [SV11: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(253,plain,
! [SV11: $i > $i] :
( ( sK1_B = $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(254,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(255,plain,
! [SV11: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(256,plain,
! [SV11: $i > $i] :
( ( ( ! [SV33: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV33 )
= ( sK2_SY0 @ SV33 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[212]) ).
thf(257,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[212]) ).
thf(259,plain,
! [SV12: $i > $i] :
( ( ( ! [SV34: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV34 )
= ( sK2_SY0 @ SV34 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[214]) ).
thf(260,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[214]) ).
thf(263,plain,
! [SV12: $i > $i,SV35: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV35 )
= ( sK2_SY0 @ SV35 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(264,plain,
! [SV12: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(265,plain,
! [SV12: $i > $i] :
( ( sK1_B = $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(266,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(267,plain,
! [SV12: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(268,plain,
! [SV12: $i > $i] :
( ( ( ! [SV36: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV36 )
= ( sK2_SY0 @ SV36 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[221]) ).
thf(269,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[221]) ).
thf(272,plain,
! [SV9: $i > $i,SV37: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV37 )
= ( sK2_SY0 @ SV37 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(273,plain,
! [SV9: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(276,plain,
! [SV9: $i > $i,SV26: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV26 )
= ( sK2_SY0 @ SV26 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(277,plain,
! [SV9: $i > $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(278,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(279,plain,
! [SV9: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(280,plain,
! [SV9: $i > $i] :
( ( ( ! [SV38: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV38 )
= ( sK2_SY0 @ SV38 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[230]) ).
thf(281,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[230]) ).
thf(283,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(284,plain,
! [SV9: $i > $i,SV39: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV39 )
= ( sK2_SY0 @ SV39 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(285,plain,
! [SV9: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(288,plain,
! [SV10: $i > $i,SV40: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV40 )
= ( sK2_SY0 @ SV40 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(289,plain,
! [SV10: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(292,plain,
! [SV10: $i > $i,SV29: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(293,plain,
! [SV10: $i > $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(294,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(295,plain,
! [SV10: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(296,plain,
! [SV10: $i > $i] :
( ( ( ! [SV41: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV41 )
= ( sK2_SY0 @ SV41 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[242]) ).
thf(297,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[242]) ).
thf(299,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(300,plain,
! [SV10: $i > $i,SV42: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV42 )
= ( sK2_SY0 @ SV42 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(301,plain,
! [SV10: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(304,plain,
! [SV11: $i > $i,SV43: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV43 )
= ( sK2_SY0 @ SV43 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(305,plain,
! [SV11: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(308,plain,
! [SV11: $i > $i,SV32: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV32 )
= ( sK2_SY0 @ SV32 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(309,plain,
! [SV11: $i > $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(310,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(311,plain,
! [SV11: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(312,plain,
! [SV11: $i > $i] :
( ( ( ! [SV44: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV44 )
= ( sK2_SY0 @ SV44 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[254]) ).
thf(313,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[254]) ).
thf(315,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(316,plain,
! [SV11: $i > $i,SV45: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV45 )
= ( sK2_SY0 @ SV45 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(317,plain,
! [SV11: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(320,plain,
! [SV12: $i > $i,SV46: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV46 )
= ( sK2_SY0 @ SV46 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(321,plain,
! [SV12: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(324,plain,
! [SV12: $i > $i,SV35: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV35 )
= ( sK2_SY0 @ SV35 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(325,plain,
! [SV12: $i > $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(326,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(327,plain,
! [SV12: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(328,plain,
! [SV12: $i > $i] :
( ( ( ! [SV47: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV47 )
= ( sK2_SY0 @ SV47 ) ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[266]) ).
thf(329,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[266]) ).
thf(331,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(332,plain,
! [SV12: $i > $i,SV48: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV48 )
= ( sK2_SY0 @ SV48 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(333,plain,
! [SV12: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(336,plain,
! [SV9: $i > $i,SV37: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV37 )
= ( sK2_SY0 @ SV37 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(337,plain,
! [SV9: $i > $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(338,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(342,plain,
! [SV9: $i > $i,SV26: $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV26 )
= ( sK2_SY0 @ SV26 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(343,plain,
! [SV9: $i > $i,SV26: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV26 )
= ( sK2_SY0 @ SV26 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(344,plain,
! [SV9: $i > $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(345,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(347,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(348,plain,
! [SV9: $i > $i,SV50: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV50 )
= ( sK2_SY0 @ SV50 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(349,plain,
! [SV9: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(351,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(352,plain,
! [SV9: $i > $i,SV39: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV39 )
= ( sK2_SY0 @ SV39 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(354,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[285]) ).
thf(357,plain,
! [SV10: $i > $i,SV40: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV40 )
= ( sK2_SY0 @ SV40 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(358,plain,
! [SV10: $i > $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(359,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(363,plain,
! [SV10: $i > $i,SV29: $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(364,plain,
! [SV10: $i > $i,SV29: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(365,plain,
! [SV10: $i > $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(366,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(368,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(369,plain,
! [SV10: $i > $i,SV52: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV52 )
= ( sK2_SY0 @ SV52 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(370,plain,
! [SV10: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(372,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(373,plain,
! [SV10: $i > $i,SV42: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV42 )
= ( sK2_SY0 @ SV42 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(375,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[301]) ).
thf(378,plain,
! [SV11: $i > $i,SV43: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV43 )
= ( sK2_SY0 @ SV43 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(379,plain,
! [SV11: $i > $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[305]) ).
thf(380,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[305]) ).
thf(384,plain,
! [SV11: $i > $i,SV32: $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV32 )
= ( sK2_SY0 @ SV32 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(385,plain,
! [SV11: $i > $i,SV32: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV32 )
= ( sK2_SY0 @ SV32 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(386,plain,
! [SV11: $i > $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(387,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(389,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(390,plain,
! [SV11: $i > $i,SV54: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV54 )
= ( sK2_SY0 @ SV54 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(391,plain,
! [SV11: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(393,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(394,plain,
! [SV11: $i > $i,SV45: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV45 )
= ( sK2_SY0 @ SV45 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(396,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[317]) ).
thf(399,plain,
! [SV12: $i > $i,SV46: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV46 )
= ( sK2_SY0 @ SV46 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(400,plain,
! [SV12: $i > $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(401,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(405,plain,
! [SV12: $i > $i,SV35: $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV35 )
= ( sK2_SY0 @ SV35 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[324]) ).
thf(406,plain,
! [SV12: $i > $i,SV35: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV35 )
= ( sK2_SY0 @ SV35 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[324]) ).
thf(407,plain,
! [SV12: $i > $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(408,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(410,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(411,plain,
! [SV12: $i > $i,SV56: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV56 )
= ( sK2_SY0 @ SV56 ) )
= $true )
| ( ( ~ ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(412,plain,
! [SV12: $i > $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(414,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(415,plain,
! [SV12: $i > $i,SV48: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV48 )
= ( sK2_SY0 @ SV48 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(417,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(421,plain,
! [SV9: $i > $i,SV37: $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV37 )
= ( sK2_SY0 @ SV37 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(422,plain,
! [SV9: $i > $i,SV37: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV37 )
= ( sK2_SY0 @ SV37 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(423,plain,
! [SV9: $i > $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(424,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(426,plain,
! [SV9: $i > $i,SV26: $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV26 )
= ( sK2_SY0 @ SV26 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(427,plain,
! [SV9: $i > $i,SV26: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV26 )
= ( sK2_SY0 @ SV26 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(428,plain,
! [SV9: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(429,plain,
! [SV9: $i > $i] :
( ( ( ! [SV59: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV59 )
= ( sK3_SY2 @ SV59 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[345]) ).
thf(430,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[345]) ).
thf(432,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(433,plain,
! [SV9: $i > $i,SV50: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV50 )
= ( sK2_SY0 @ SV50 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(435,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(437,plain,
! [SV9: $i > $i] :
( ( ( ! [SV60: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV60 )
= ( sK3_SY2 @ SV60 ) ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[351]) ).
thf(438,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[351]) ).
thf(440,plain,
! [SV9: $i > $i,SV39: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV39 )
= ( sK2_SY0 @ SV39 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[352]) ).
thf(442,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(446,plain,
! [SV10: $i > $i,SV40: $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV40 )
= ( sK2_SY0 @ SV40 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[357]) ).
thf(447,plain,
! [SV10: $i > $i,SV40: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV40 )
= ( sK2_SY0 @ SV40 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[357]) ).
thf(448,plain,
! [SV10: $i > $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[358]) ).
thf(449,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(451,plain,
! [SV10: $i > $i,SV29: $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(452,plain,
! [SV10: $i > $i,SV29: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(453,plain,
! [SV10: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(454,plain,
! [SV10: $i > $i] :
( ( ( ! [SV63: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV63 )
= ( sK3_SY2 @ SV63 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[366]) ).
thf(455,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[366]) ).
thf(457,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(458,plain,
! [SV10: $i > $i,SV52: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV52 )
= ( sK2_SY0 @ SV52 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(460,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[370]) ).
thf(462,plain,
! [SV10: $i > $i] :
( ( ( ! [SV64: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV64 )
= ( sK3_SY2 @ SV64 ) ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[372]) ).
thf(463,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[372]) ).
thf(465,plain,
! [SV10: $i > $i,SV42: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV42 )
= ( sK2_SY0 @ SV42 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[373]) ).
thf(467,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[375]) ).
thf(471,plain,
! [SV11: $i > $i,SV43: $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV43 )
= ( sK2_SY0 @ SV43 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[378]) ).
thf(472,plain,
! [SV11: $i > $i,SV43: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV43 )
= ( sK2_SY0 @ SV43 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[378]) ).
thf(473,plain,
! [SV11: $i > $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[379]) ).
thf(474,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[380]) ).
thf(476,plain,
! [SV11: $i > $i,SV32: $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV32 )
= ( sK2_SY0 @ SV32 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(477,plain,
! [SV11: $i > $i,SV32: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV32 )
= ( sK2_SY0 @ SV32 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(478,plain,
! [SV11: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(479,plain,
! [SV11: $i > $i] :
( ( ( ! [SV67: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV67 )
= ( sK3_SY2 @ SV67 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[387]) ).
thf(480,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[387]) ).
thf(482,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[389]) ).
thf(483,plain,
! [SV11: $i > $i,SV54: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV54 )
= ( sK2_SY0 @ SV54 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(485,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[391]) ).
thf(487,plain,
! [SV11: $i > $i] :
( ( ( ! [SV68: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV68 )
= ( sK3_SY2 @ SV68 ) ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[393]) ).
thf(488,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[393]) ).
thf(490,plain,
! [SV11: $i > $i,SV45: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV45 )
= ( sK2_SY0 @ SV45 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[394]) ).
thf(492,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[396]) ).
thf(496,plain,
! [SV12: $i > $i,SV46: $i] :
( ( ( ~ ~ sK1_B )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV46 )
= ( sK2_SY0 @ SV46 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[399]) ).
thf(497,plain,
! [SV12: $i > $i,SV46: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV46 )
= ( sK2_SY0 @ SV46 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[399]) ).
thf(498,plain,
! [SV12: $i > $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[400]) ).
thf(499,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(501,plain,
! [SV12: $i > $i,SV35: $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV35 )
= ( sK2_SY0 @ SV35 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(502,plain,
! [SV12: $i > $i,SV35: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV35 )
= ( sK2_SY0 @ SV35 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[406]) ).
thf(503,plain,
! [SV12: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(504,plain,
! [SV12: $i > $i] :
( ( ( ! [SV71: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV71 )
= ( sK3_SY2 @ SV71 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[408]) ).
thf(505,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[408]) ).
thf(507,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[410]) ).
thf(508,plain,
! [SV12: $i > $i,SV56: $i] :
( ( ( ~ ~ sK1_B
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV56 )
= ( sK2_SY0 @ SV56 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(510,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(512,plain,
! [SV12: $i > $i] :
( ( ( ! [SV72: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV72 )
= ( sK3_SY2 @ SV72 ) ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[414]) ).
thf(513,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[414]) ).
thf(515,plain,
! [SV12: $i > $i,SV48: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV48 )
= ( sK2_SY0 @ SV48 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[415]) ).
thf(517,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(519,plain,
! [SV9: $i > $i,SV37: $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV37 )
= ( sK2_SY0 @ SV37 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(520,plain,
! [SV9: $i > $i,SV37: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV37 )
= ( sK2_SY0 @ SV37 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[422]) ).
thf(521,plain,
! [SV9: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(522,plain,
! [SV9: $i > $i] :
( ( ( ! [SV74: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV74 )
= ( sK3_SY2 @ SV74 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[424]) ).
thf(523,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[424]) ).
thf(524,plain,
! [SV9: $i > $i,SV26: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV26 )
= ( sK2_SY0 @ SV26 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(525,plain,
! [SV9: $i > $i,SV26: $i] :
( ( ( ! [SV75: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV75 )
= ( sK3_SY2 @ SV75 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV26 )
= ( sK2_SY0 @ SV26 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[427]) ).
thf(526,plain,
! [SV9: $i > $i,SV26: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV26 )
= ( sK2_SY0 @ SV26 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[427]) ).
thf(527,plain,
! [SV9: $i > $i,SV76: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV76 )
= ( sK3_SY2 @ SV76 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(529,plain,
! [SV9: $i > $i] :
( ( ( ! [SV77: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV77 )
= ( sK3_SY2 @ SV77 ) ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[432]) ).
thf(530,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[432]) ).
thf(532,plain,
! [SV9: $i > $i,SV50: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV50 )
= ( sK2_SY0 @ SV50 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[433]) ).
thf(534,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(535,plain,
! [SV9: $i > $i,SV78: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV78 )
= ( sK3_SY2 @ SV78 ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(537,plain,
! [SV9: $i > $i,SV39: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV39 )
= ( sK2_SY0 @ SV39 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[440]) ).
thf(539,plain,
! [SV9: $i > $i] :
( ( ( ! [SV79: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV79 )
= ( sK3_SY2 @ SV79 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[442]) ).
thf(540,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[442]) ).
thf(542,plain,
! [SV10: $i > $i,SV40: $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV40 )
= ( sK2_SY0 @ SV40 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[446]) ).
thf(543,plain,
! [SV10: $i > $i,SV40: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV40 )
= ( sK2_SY0 @ SV40 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(544,plain,
! [SV10: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(545,plain,
! [SV10: $i > $i] :
( ( ( ! [SV81: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV81 )
= ( sK3_SY2 @ SV81 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[449]) ).
thf(546,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[449]) ).
thf(547,plain,
! [SV10: $i > $i,SV29: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(548,plain,
! [SV10: $i > $i,SV29: $i] :
( ( ( ! [SV82: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV82 )
= ( sK3_SY2 @ SV82 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[452]) ).
thf(549,plain,
! [SV10: $i > $i,SV29: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[452]) ).
thf(550,plain,
! [SV10: $i > $i,SV83: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV83 )
= ( sK3_SY2 @ SV83 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(552,plain,
! [SV10: $i > $i] :
( ( ( ! [SV84: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV84 )
= ( sK3_SY2 @ SV84 ) ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[457]) ).
thf(553,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[457]) ).
thf(555,plain,
! [SV10: $i > $i,SV52: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV52 )
= ( sK2_SY0 @ SV52 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[458]) ).
thf(557,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(558,plain,
! [SV10: $i > $i,SV85: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV85 )
= ( sK3_SY2 @ SV85 ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(560,plain,
! [SV10: $i > $i,SV42: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV42 )
= ( sK2_SY0 @ SV42 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[465]) ).
thf(562,plain,
! [SV10: $i > $i] :
( ( ( ! [SV86: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV86 )
= ( sK3_SY2 @ SV86 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[467]) ).
thf(563,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[467]) ).
thf(565,plain,
! [SV11: $i > $i,SV43: $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV43 )
= ( sK2_SY0 @ SV43 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[471]) ).
thf(566,plain,
! [SV11: $i > $i,SV43: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV43 )
= ( sK2_SY0 @ SV43 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(567,plain,
! [SV11: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(568,plain,
! [SV11: $i > $i] :
( ( ( ! [SV88: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV88 )
= ( sK3_SY2 @ SV88 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[474]) ).
thf(569,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[474]) ).
thf(570,plain,
! [SV11: $i > $i,SV32: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV32 )
= ( sK2_SY0 @ SV32 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(571,plain,
! [SV11: $i > $i,SV32: $i] :
( ( ( ! [SV89: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV89 )
= ( sK3_SY2 @ SV89 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV32 )
= ( sK2_SY0 @ SV32 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[477]) ).
thf(572,plain,
! [SV11: $i > $i,SV32: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV32 )
= ( sK2_SY0 @ SV32 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[477]) ).
thf(573,plain,
! [SV11: $i > $i,SV90: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV90 )
= ( sK3_SY2 @ SV90 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(575,plain,
! [SV11: $i > $i] :
( ( ( ! [SV91: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV91 )
= ( sK3_SY2 @ SV91 ) ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[482]) ).
thf(576,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[482]) ).
thf(578,plain,
! [SV11: $i > $i,SV54: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV54 )
= ( sK2_SY0 @ SV54 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[483]) ).
thf(580,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[485]) ).
thf(581,plain,
! [SV11: $i > $i,SV92: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV92 )
= ( sK3_SY2 @ SV92 ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(583,plain,
! [SV11: $i > $i,SV45: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV45 )
= ( sK2_SY0 @ SV45 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[490]) ).
thf(585,plain,
! [SV11: $i > $i] :
( ( ( ! [SV93: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV93 )
= ( sK3_SY2 @ SV93 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[492]) ).
thf(586,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[492]) ).
thf(588,plain,
! [SV12: $i > $i,SV46: $i] :
( ( ( ~ sK1_B ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV46 )
= ( sK2_SY0 @ SV46 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(589,plain,
! [SV12: $i > $i,SV46: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV46 )
= ( sK2_SY0 @ SV46 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(590,plain,
! [SV12: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(591,plain,
! [SV12: $i > $i] :
( ( ( ! [SV95: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV95 )
= ( sK3_SY2 @ SV95 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[499]) ).
thf(592,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[499]) ).
thf(593,plain,
! [SV12: $i > $i,SV35: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV35 )
= ( sK2_SY0 @ SV35 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(594,plain,
! [SV12: $i > $i,SV35: $i] :
( ( ( ! [SV96: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV96 )
= ( sK3_SY2 @ SV96 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV35 )
= ( sK2_SY0 @ SV35 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[502]) ).
thf(595,plain,
! [SV12: $i > $i,SV35: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV35 )
= ( sK2_SY0 @ SV35 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[502]) ).
thf(596,plain,
! [SV12: $i > $i,SV97: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV97 )
= ( sK3_SY2 @ SV97 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(598,plain,
! [SV12: $i > $i] :
( ( ( ! [SV98: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV98 )
= ( sK3_SY2 @ SV98 ) ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[507]) ).
thf(599,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[507]) ).
thf(601,plain,
! [SV12: $i > $i,SV56: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
!= sK3_SY2 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV56 )
= ( sK2_SY0 @ SV56 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[508]) ).
thf(603,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(604,plain,
! [SV12: $i > $i,SV99: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV99 )
= ( sK3_SY2 @ SV99 ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(606,plain,
! [SV12: $i > $i,SV48: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV48 )
= ( sK2_SY0 @ SV48 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[515]) ).
thf(608,plain,
! [SV12: $i > $i] :
( ( ( ! [SV100: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV100 )
= ( sK3_SY2 @ SV100 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[517]) ).
thf(609,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[517]) ).
thf(610,plain,
! [SV9: $i > $i,SV37: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV37 )
= ( sK2_SY0 @ SV37 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(611,plain,
! [SV9: $i > $i,SV37: $i] :
( ( ( ! [SV101: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV101 )
= ( sK3_SY2 @ SV101 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV37 )
= ( sK2_SY0 @ SV37 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[520]) ).
thf(612,plain,
! [SV9: $i > $i,SV37: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV37 )
= ( sK2_SY0 @ SV37 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[520]) ).
thf(613,plain,
! [SV9: $i > $i,SV102: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV102 )
= ( sK3_SY2 @ SV102 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(614,plain,
! [SV9: $i > $i,SV26: $i,SV103: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV103 )
= ( sK3_SY2 @ SV103 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV26 )
= ( sK2_SY0 @ SV26 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(615,plain,
! [SV9: $i > $i,SV104: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV104 )
= ( sK3_SY2 @ SV104 ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(617,plain,
! [SV9: $i > $i,SV50: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV50 )
= ( sK2_SY0 @ SV50 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(619,plain,
! [SV9: $i > $i] :
( ( ( ! [SV105: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV105 )
= ( sK3_SY2 @ SV105 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[534]) ).
thf(620,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[534]) ).
thf(622,plain,
! [SV9: $i > $i,SV39: $i] :
( ( ( ! [SV106: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV106 )
= ( sK3_SY2 @ SV106 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV39 )
= ( sK2_SY0 @ SV39 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[537]) ).
thf(623,plain,
! [SV9: $i > $i,SV39: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV39 )
= ( sK2_SY0 @ SV39 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[537]) ).
thf(624,plain,
! [SV9: $i > $i,SV107: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV107 )
= ( sK3_SY2 @ SV107 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(625,plain,
! [SV10: $i > $i,SV40: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV40 )
= ( sK2_SY0 @ SV40 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(626,plain,
! [SV10: $i > $i,SV40: $i] :
( ( ( ! [SV108: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV108 )
= ( sK3_SY2 @ SV108 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV40 )
= ( sK2_SY0 @ SV40 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[543]) ).
thf(627,plain,
! [SV10: $i > $i,SV40: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV40 )
= ( sK2_SY0 @ SV40 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[543]) ).
thf(628,plain,
! [SV10: $i > $i,SV109: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV109 )
= ( sK3_SY2 @ SV109 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(629,plain,
! [SV10: $i > $i,SV29: $i,SV110: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV110 )
= ( sK3_SY2 @ SV110 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(630,plain,
! [SV10: $i > $i,SV111: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV111 )
= ( sK3_SY2 @ SV111 ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(632,plain,
! [SV10: $i > $i,SV52: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV52 )
= ( sK2_SY0 @ SV52 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(634,plain,
! [SV10: $i > $i] :
( ( ( ! [SV112: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV112 )
= ( sK3_SY2 @ SV112 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[557]) ).
thf(635,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[557]) ).
thf(637,plain,
! [SV10: $i > $i,SV42: $i] :
( ( ( ! [SV113: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV113 )
= ( sK3_SY2 @ SV113 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV42 )
= ( sK2_SY0 @ SV42 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[560]) ).
thf(638,plain,
! [SV10: $i > $i,SV42: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV42 )
= ( sK2_SY0 @ SV42 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[560]) ).
thf(639,plain,
! [SV10: $i > $i,SV114: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV114 )
= ( sK3_SY2 @ SV114 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(640,plain,
! [SV11: $i > $i,SV43: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV43 )
= ( sK2_SY0 @ SV43 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(641,plain,
! [SV11: $i > $i,SV43: $i] :
( ( ( ! [SV115: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV115 )
= ( sK3_SY2 @ SV115 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV43 )
= ( sK2_SY0 @ SV43 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[566]) ).
thf(642,plain,
! [SV11: $i > $i,SV43: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV43 )
= ( sK2_SY0 @ SV43 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[566]) ).
thf(643,plain,
! [SV11: $i > $i,SV116: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV116 )
= ( sK3_SY2 @ SV116 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(644,plain,
! [SV11: $i > $i,SV32: $i,SV117: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV117 )
= ( sK3_SY2 @ SV117 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV32 )
= ( sK2_SY0 @ SV32 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(645,plain,
! [SV11: $i > $i,SV118: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV118 )
= ( sK3_SY2 @ SV118 ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(647,plain,
! [SV11: $i > $i,SV54: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV54 )
= ( sK2_SY0 @ SV54 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[578]) ).
thf(649,plain,
! [SV11: $i > $i] :
( ( ( ! [SV119: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV119 )
= ( sK3_SY2 @ SV119 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[580]) ).
thf(650,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[580]) ).
thf(652,plain,
! [SV11: $i > $i,SV45: $i] :
( ( ( ! [SV120: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV120 )
= ( sK3_SY2 @ SV120 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV45 )
= ( sK2_SY0 @ SV45 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[583]) ).
thf(653,plain,
! [SV11: $i > $i,SV45: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV45 )
= ( sK2_SY0 @ SV45 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[583]) ).
thf(654,plain,
! [SV11: $i > $i,SV121: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV121 )
= ( sK3_SY2 @ SV121 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(655,plain,
! [SV12: $i > $i,SV46: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV46 )
= ( sK2_SY0 @ SV46 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(656,plain,
! [SV12: $i > $i,SV46: $i] :
( ( ( ! [SV122: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV122 )
= ( sK3_SY2 @ SV122 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV46 )
= ( sK2_SY0 @ SV46 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[589]) ).
thf(657,plain,
! [SV12: $i > $i,SV46: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV46 )
= ( sK2_SY0 @ SV46 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[589]) ).
thf(658,plain,
! [SV12: $i > $i,SV123: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV123 )
= ( sK3_SY2 @ SV123 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(659,plain,
! [SV12: $i > $i,SV35: $i,SV124: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV124 )
= ( sK3_SY2 @ SV124 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV35 )
= ( sK2_SY0 @ SV35 ) )
= $true )
| ( sK1_B = $false )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(660,plain,
! [SV12: $i > $i,SV125: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV125 )
= ( sK3_SY2 @ SV125 ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(662,plain,
! [SV12: $i > $i,SV56: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV56 )
= ( sK2_SY0 @ SV56 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[601]) ).
thf(664,plain,
! [SV12: $i > $i] :
( ( ( ! [SV126: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV126 )
= ( sK3_SY2 @ SV126 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[603]) ).
thf(665,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[603]) ).
thf(667,plain,
! [SV12: $i > $i,SV48: $i] :
( ( ( ! [SV127: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV127 )
= ( sK3_SY2 @ SV127 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV48 )
= ( sK2_SY0 @ SV48 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[606]) ).
thf(668,plain,
! [SV12: $i > $i,SV48: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV48 )
= ( sK2_SY0 @ SV48 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[606]) ).
thf(669,plain,
! [SV12: $i > $i,SV128: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV128 )
= ( sK3_SY2 @ SV128 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(670,plain,
! [SV9: $i > $i,SV37: $i,SV129: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV129 )
= ( sK3_SY2 @ SV129 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV37 )
= ( sK2_SY0 @ SV37 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(672,plain,
! [SV9: $i > $i,SV50: $i] :
( ( ( ! [SV130: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV130 )
= ( sK3_SY2 @ SV130 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV50 )
= ( sK2_SY0 @ SV50 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[617]) ).
thf(673,plain,
! [SV9: $i > $i,SV50: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV50 )
= ( sK2_SY0 @ SV50 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[617]) ).
thf(674,plain,
! [SV9: $i > $i,SV131: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV131 )
= ( sK3_SY2 @ SV131 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(675,plain,
! [SV9: $i > $i,SV39: $i,SV132: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV132 )
= ( sK3_SY2 @ SV132 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV39 )
= ( sK2_SY0 @ SV39 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(676,plain,
! [SV10: $i > $i,SV40: $i,SV133: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV133 )
= ( sK3_SY2 @ SV133 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV40 )
= ( sK2_SY0 @ SV40 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(678,plain,
! [SV10: $i > $i,SV52: $i] :
( ( ( ! [SV134: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV134 )
= ( sK3_SY2 @ SV134 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV52 )
= ( sK2_SY0 @ SV52 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[632]) ).
thf(679,plain,
! [SV10: $i > $i,SV52: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV52 )
= ( sK2_SY0 @ SV52 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[632]) ).
thf(680,plain,
! [SV10: $i > $i,SV135: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV135 )
= ( sK3_SY2 @ SV135 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(681,plain,
! [SV10: $i > $i,SV42: $i,SV136: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV136 )
= ( sK3_SY2 @ SV136 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV42 )
= ( sK2_SY0 @ SV42 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(682,plain,
! [SV11: $i > $i,SV43: $i,SV137: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV137 )
= ( sK3_SY2 @ SV137 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV43 )
= ( sK2_SY0 @ SV43 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(684,plain,
! [SV11: $i > $i,SV54: $i] :
( ( ( ! [SV138: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV138 )
= ( sK3_SY2 @ SV138 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV54 )
= ( sK2_SY0 @ SV54 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[647]) ).
thf(685,plain,
! [SV11: $i > $i,SV54: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV54 )
= ( sK2_SY0 @ SV54 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[647]) ).
thf(686,plain,
! [SV11: $i > $i,SV139: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV139 )
= ( sK3_SY2 @ SV139 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(687,plain,
! [SV11: $i > $i,SV45: $i,SV140: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV140 )
= ( sK3_SY2 @ SV140 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV45 )
= ( sK2_SY0 @ SV45 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(688,plain,
! [SV12: $i > $i,SV46: $i,SV141: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV141 )
= ( sK3_SY2 @ SV141 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV46 )
= ( sK2_SY0 @ SV46 ) )
= $true )
| ( sK1_B = $false )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(690,plain,
! [SV12: $i > $i,SV56: $i] :
( ( ( ! [SV142: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV142 )
= ( sK3_SY2 @ SV142 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV56 )
= ( sK2_SY0 @ SV56 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[662]) ).
thf(691,plain,
! [SV12: $i > $i,SV56: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV56 )
= ( sK2_SY0 @ SV56 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[662]) ).
thf(692,plain,
! [SV12: $i > $i,SV143: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV143 )
= ( sK3_SY2 @ SV143 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(693,plain,
! [SV12: $i > $i,SV48: $i,SV144: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV144 )
= ( sK3_SY2 @ SV144 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV48 )
= ( sK2_SY0 @ SV48 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(694,plain,
! [SV9: $i > $i,SV50: $i,SV145: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV145 )
= ( sK3_SY2 @ SV145 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV50 )
= ( sK2_SY0 @ SV50 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(695,plain,
! [SV10: $i > $i,SV52: $i,SV146: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV146 )
= ( sK3_SY2 @ SV146 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV52 )
= ( sK2_SY0 @ SV52 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(696,plain,
! [SV11: $i > $i,SV54: $i,SV147: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV147 )
= ( sK3_SY2 @ SV147 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV54 )
= ( sK2_SY0 @ SV54 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(697,plain,
! [SV12: $i > $i,SV56: $i,SV148: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV148 )
= ( sK3_SY2 @ SV148 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV56 )
= ( sK2_SY0 @ SV56 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(704,plain,
! [SV9: $i > $i,SV26: $i,SV156: $i] :
( ( ( SV9 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV26 )
= ( sK2_SY0 @ SV26 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV156 )
= ( sK3_SY2 @ SV156 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[526]) ).
thf(705,plain,
! [SV9: $i > $i,SV157: $i] :
( ( ( SV9 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV157 )
= ( sK2_SY0 @ SV157 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[428]) ).
thf(706,plain,
! [SV9: $i > $i,SV76: $i,SV158: $i] :
( ( ( SV9 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV158 )
= ( sK2_SY0 @ SV158 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV76 )
= ( sK3_SY2 @ SV76 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[527]) ).
thf(707,plain,
! [SV9: $i > $i,SV159: $i,SV160: $i] :
( ( ( SV9 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV159 )
= ( sK2_SY0 @ SV159 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV160 )
= ( sK3_SY2 @ SV160 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[430]) ).
thf(713,plain,
! [SV9: $i > $i,SV167: $i] :
( ( ( SV9 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV167 )
= ( sK3_SY2 @ SV167 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[438]) ).
thf(714,plain,
! [SV9: $i > $i,SV39: $i,SV168: $i] :
( ( ( SV9 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV39 )
= ( sK2_SY0 @ SV39 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV168 )
= ( sK3_SY2 @ SV168 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[623]) ).
thf(716,plain,
! [SV9: $i > $i,SV107: $i,SV170: $i] :
( ( ( SV9 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV170 )
= ( sK2_SY0 @ SV170 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV107 )
= ( sK3_SY2 @ SV107 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[624]) ).
thf(717,plain,
! [SV9: $i > $i,SV171: $i,SV172: $i] :
( ( ( SV9 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV171 )
= ( sK2_SY0 @ SV171 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV172 )
= ( sK3_SY2 @ SV172 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[540]) ).
thf(724,plain,
! [SV10: $i > $i,SV29: $i,SV180: $i] :
( ( ( SV10 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV180 )
= ( sK3_SY2 @ SV180 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[549]) ).
thf(725,plain,
! [SV10: $i > $i,SV181: $i] :
( ( ( SV10 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV181 )
= ( sK2_SY0 @ SV181 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[453]) ).
thf(726,plain,
! [SV10: $i > $i,SV83: $i,SV182: $i] :
( ( ( SV10 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV182 )
= ( sK2_SY0 @ SV182 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV83 )
= ( sK3_SY2 @ SV83 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[550]) ).
thf(727,plain,
! [SV10: $i > $i,SV183: $i,SV184: $i] :
( ( ( SV10 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV183 )
= ( sK2_SY0 @ SV183 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV184 )
= ( sK3_SY2 @ SV184 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[455]) ).
thf(733,plain,
! [SV10: $i > $i,SV191: $i] :
( ( ( SV10 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV191 )
= ( sK3_SY2 @ SV191 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[463]) ).
thf(734,plain,
! [SV10: $i > $i,SV42: $i,SV192: $i] :
( ( ( SV10 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV42 )
= ( sK2_SY0 @ SV42 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV192 )
= ( sK3_SY2 @ SV192 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[638]) ).
thf(736,plain,
! [SV10: $i > $i,SV114: $i,SV194: $i] :
( ( ( SV10 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV194 )
= ( sK2_SY0 @ SV194 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV114 )
= ( sK3_SY2 @ SV114 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[639]) ).
thf(737,plain,
! [SV10: $i > $i,SV195: $i,SV196: $i] :
( ( ( SV10 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV195 )
= ( sK2_SY0 @ SV195 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV196 )
= ( sK3_SY2 @ SV196 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[563]) ).
thf(744,plain,
! [SV11: $i > $i,SV32: $i,SV204: $i] :
( ( ( SV11 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV32 )
= ( sK2_SY0 @ SV32 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV204 )
= ( sK3_SY2 @ SV204 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[572]) ).
thf(745,plain,
! [SV11: $i > $i,SV205: $i] :
( ( ( SV11 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV205 )
= ( sK2_SY0 @ SV205 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[478]) ).
thf(746,plain,
! [SV11: $i > $i,SV90: $i,SV206: $i] :
( ( ( SV11 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV206 )
= ( sK2_SY0 @ SV206 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV90 )
= ( sK3_SY2 @ SV90 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[573]) ).
thf(747,plain,
! [SV11: $i > $i,SV207: $i,SV208: $i] :
( ( ( SV11 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV207 )
= ( sK2_SY0 @ SV207 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV208 )
= ( sK3_SY2 @ SV208 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[480]) ).
thf(753,plain,
! [SV11: $i > $i,SV215: $i] :
( ( ( SV11 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV215 )
= ( sK3_SY2 @ SV215 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[488]) ).
thf(754,plain,
! [SV11: $i > $i,SV45: $i,SV216: $i] :
( ( ( SV11 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV45 )
= ( sK2_SY0 @ SV45 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV216 )
= ( sK3_SY2 @ SV216 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[653]) ).
thf(756,plain,
! [SV11: $i > $i,SV121: $i,SV218: $i] :
( ( ( SV11 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV218 )
= ( sK2_SY0 @ SV218 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV121 )
= ( sK3_SY2 @ SV121 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[654]) ).
thf(757,plain,
! [SV11: $i > $i,SV219: $i,SV220: $i] :
( ( ( SV11 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV219 )
= ( sK2_SY0 @ SV219 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV220 )
= ( sK3_SY2 @ SV220 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[586]) ).
thf(764,plain,
! [SV12: $i > $i,SV35: $i,SV228: $i] :
( ( ( SV12 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV35 )
= ( sK2_SY0 @ SV35 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV228 )
= ( sK3_SY2 @ SV228 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[595]) ).
thf(765,plain,
! [SV12: $i > $i,SV229: $i] :
( ( ( SV12 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV229 )
= ( sK2_SY0 @ SV229 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[503]) ).
thf(766,plain,
! [SV12: $i > $i,SV97: $i,SV230: $i] :
( ( ( SV12 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV230 )
= ( sK2_SY0 @ SV230 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV97 )
= ( sK3_SY2 @ SV97 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[596]) ).
thf(767,plain,
! [SV12: $i > $i,SV231: $i,SV232: $i] :
( ( ( SV12 = sK2_SY0 )
= $false )
| ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV231 )
= ( sK2_SY0 @ SV231 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV232 )
= ( sK3_SY2 @ SV232 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[505]) ).
thf(773,plain,
! [SV12: $i > $i,SV239: $i] :
( ( ( SV12 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV239 )
= ( sK3_SY2 @ SV239 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[513]) ).
thf(774,plain,
! [SV12: $i > $i,SV48: $i,SV240: $i] :
( ( ( SV12 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV48 )
= ( sK2_SY0 @ SV48 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV240 )
= ( sK3_SY2 @ SV240 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[668]) ).
thf(776,plain,
! [SV12: $i > $i,SV128: $i,SV242: $i] :
( ( ( SV12 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV242 )
= ( sK2_SY0 @ SV242 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV128 )
= ( sK3_SY2 @ SV128 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[669]) ).
thf(777,plain,
! [SV12: $i > $i,SV243: $i,SV244: $i] :
( ( ( SV12 = sK3_SY2 )
= $false )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV243 )
= ( sK2_SY0 @ SV243 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV244 )
= ( sK3_SY2 @ SV244 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[609]) ).
thf(778,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ sK14_E )
= ( sK2_SY0 @ sK14_E ) )
= $false ),
inference(extuni,[status(esa)],[25]) ).
thf(782,plain,
! [SV26: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV26 )
= ( sK2_SY0 @ SV26 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[524:[bind(SV9,$thf( sK2_SY0 ))]]) ).
thf(783,plain,
! [SV103: $i,SV26: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV26 )
= ( sK2_SY0 @ SV26 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV103 )
= ( sK3_SY2 @ SV103 ) )
= $true ) ),
inference(extuni,[status(esa)],[614:[bind(SV9,$thf( sK2_SY0 ))]]) ).
thf(784,plain,
! [SV26: $i,SV156: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV156 )
= ( sK3_SY2 @ SV156 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV26 )
= ( sK2_SY0 @ SV26 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[704:[bind(SV9,$thf( sK2_SY0 ))]]) ).
thf(785,plain,
! [SV157: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV157 )
= ( sK2_SY0 @ SV157 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[705:[bind(SV9,$thf( sK2_SY0 ))]]) ).
thf(786,plain,
! [SV158: $i,SV76: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV76 )
= ( sK3_SY2 @ SV76 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV158 )
= ( sK2_SY0 @ SV158 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[706:[bind(SV9,$thf( sK2_SY0 ))]]) ).
thf(787,plain,
! [SV159: $i,SV160: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV160 )
= ( sK3_SY2 @ SV160 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV159 )
= ( sK2_SY0 @ SV159 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[707:[bind(SV9,$thf( sK2_SY0 ))]]) ).
thf(789,plain,
! [SV78: $i] :
( ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV78 )
= ( sK3_SY2 @ SV78 ) )
= $true ) ),
inference(extuni,[status(esa)],[535:[bind(SV9,$thf( sK3_SY2 ))]]) ).
thf(790,plain,
! [SV167: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV167 )
= ( sK3_SY2 @ SV167 ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[713:[bind(SV9,$thf( sK3_SY2 ))]]) ).
thf(792,plain,
! [SV132: $i,SV39: $i] :
( ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV39 )
= ( sK2_SY0 @ SV39 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV132 )
= ( sK3_SY2 @ SV132 ) )
= $true ) ),
inference(extuni,[status(esa)],[675:[bind(SV9,$thf( sK3_SY2 ))]]) ).
thf(793,plain,
! [SV39: $i,SV168: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV168 )
= ( sK3_SY2 @ SV168 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV39 )
= ( sK2_SY0 @ SV39 ) )
= $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[714:[bind(SV9,$thf( sK3_SY2 ))]]) ).
thf(795,plain,
! [SV170: $i,SV107: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV107 )
= ( sK3_SY2 @ SV107 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV170 )
= ( sK2_SY0 @ SV170 ) )
= $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[716:[bind(SV9,$thf( sK3_SY2 ))]]) ).
thf(796,plain,
! [SV171: $i,SV172: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV172 )
= ( sK3_SY2 @ SV172 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV171 )
= ( sK2_SY0 @ SV171 ) )
= $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[717:[bind(SV9,$thf( sK3_SY2 ))]]) ).
thf(797,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ sK15_E )
= ( sK3_SY2 @ sK15_E ) )
= $false ),
inference(extuni,[status(esa)],[27]) ).
thf(801,plain,
! [SV29: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[547:[bind(SV10,$thf( sK2_SY0 ))]]) ).
thf(802,plain,
! [SV110: $i,SV29: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV110 )
= ( sK3_SY2 @ SV110 ) )
= $true ) ),
inference(extuni,[status(esa)],[629:[bind(SV10,$thf( sK2_SY0 ))]]) ).
thf(803,plain,
! [SV29: $i,SV180: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV180 )
= ( sK3_SY2 @ SV180 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[724:[bind(SV10,$thf( sK2_SY0 ))]]) ).
thf(804,plain,
! [SV181: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV181 )
= ( sK2_SY0 @ SV181 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[725:[bind(SV10,$thf( sK2_SY0 ))]]) ).
thf(805,plain,
! [SV182: $i,SV83: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV83 )
= ( sK3_SY2 @ SV83 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV182 )
= ( sK2_SY0 @ SV182 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[726:[bind(SV10,$thf( sK2_SY0 ))]]) ).
thf(806,plain,
! [SV183: $i,SV184: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV184 )
= ( sK3_SY2 @ SV184 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV183 )
= ( sK2_SY0 @ SV183 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[727:[bind(SV10,$thf( sK2_SY0 ))]]) ).
thf(808,plain,
! [SV85: $i] :
( ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV85 )
= ( sK3_SY2 @ SV85 ) )
= $true ) ),
inference(extuni,[status(esa)],[558:[bind(SV10,$thf( sK3_SY2 ))]]) ).
thf(809,plain,
! [SV191: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV191 )
= ( sK3_SY2 @ SV191 ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[733:[bind(SV10,$thf( sK3_SY2 ))]]) ).
thf(811,plain,
! [SV136: $i,SV42: $i] :
( ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV42 )
= ( sK2_SY0 @ SV42 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV136 )
= ( sK3_SY2 @ SV136 ) )
= $true ) ),
inference(extuni,[status(esa)],[681:[bind(SV10,$thf( sK3_SY2 ))]]) ).
thf(812,plain,
! [SV42: $i,SV192: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV192 )
= ( sK3_SY2 @ SV192 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV42 )
= ( sK2_SY0 @ SV42 ) )
= $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[734:[bind(SV10,$thf( sK3_SY2 ))]]) ).
thf(814,plain,
! [SV194: $i,SV114: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV114 )
= ( sK3_SY2 @ SV114 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV194 )
= ( sK2_SY0 @ SV194 ) )
= $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[736:[bind(SV10,$thf( sK3_SY2 ))]]) ).
thf(815,plain,
! [SV195: $i,SV196: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV196 )
= ( sK3_SY2 @ SV196 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV195 )
= ( sK2_SY0 @ SV195 ) )
= $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[737:[bind(SV10,$thf( sK3_SY2 ))]]) ).
thf(819,plain,
! [SV32: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV32 )
= ( sK2_SY0 @ SV32 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[570:[bind(SV11,$thf( sK2_SY0 ))]]) ).
thf(820,plain,
! [SV117: $i,SV32: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV32 )
= ( sK2_SY0 @ SV32 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV117 )
= ( sK3_SY2 @ SV117 ) )
= $true ) ),
inference(extuni,[status(esa)],[644:[bind(SV11,$thf( sK2_SY0 ))]]) ).
thf(821,plain,
! [SV32: $i,SV204: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV204 )
= ( sK3_SY2 @ SV204 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV32 )
= ( sK2_SY0 @ SV32 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[744:[bind(SV11,$thf( sK2_SY0 ))]]) ).
thf(822,plain,
! [SV205: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV205 )
= ( sK2_SY0 @ SV205 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[745:[bind(SV11,$thf( sK2_SY0 ))]]) ).
thf(823,plain,
! [SV206: $i,SV90: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV90 )
= ( sK3_SY2 @ SV90 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV206 )
= ( sK2_SY0 @ SV206 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[746:[bind(SV11,$thf( sK2_SY0 ))]]) ).
thf(824,plain,
! [SV207: $i,SV208: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV208 )
= ( sK3_SY2 @ SV208 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV207 )
= ( sK2_SY0 @ SV207 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[747:[bind(SV11,$thf( sK2_SY0 ))]]) ).
thf(826,plain,
! [SV92: $i] :
( ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV92 )
= ( sK3_SY2 @ SV92 ) )
= $true ) ),
inference(extuni,[status(esa)],[581:[bind(SV11,$thf( sK3_SY2 ))]]) ).
thf(827,plain,
! [SV215: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV215 )
= ( sK3_SY2 @ SV215 ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[753:[bind(SV11,$thf( sK3_SY2 ))]]) ).
thf(829,plain,
! [SV140: $i,SV45: $i] :
( ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV45 )
= ( sK2_SY0 @ SV45 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV140 )
= ( sK3_SY2 @ SV140 ) )
= $true ) ),
inference(extuni,[status(esa)],[687:[bind(SV11,$thf( sK3_SY2 ))]]) ).
thf(830,plain,
! [SV45: $i,SV216: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV216 )
= ( sK3_SY2 @ SV216 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV45 )
= ( sK2_SY0 @ SV45 ) )
= $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[754:[bind(SV11,$thf( sK3_SY2 ))]]) ).
thf(832,plain,
! [SV218: $i,SV121: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV121 )
= ( sK3_SY2 @ SV121 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV218 )
= ( sK2_SY0 @ SV218 ) )
= $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[756:[bind(SV11,$thf( sK3_SY2 ))]]) ).
thf(833,plain,
! [SV219: $i,SV220: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV220 )
= ( sK3_SY2 @ SV220 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV219 )
= ( sK2_SY0 @ SV219 ) )
= $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[757:[bind(SV11,$thf( sK3_SY2 ))]]) ).
thf(837,plain,
! [SV35: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV35 )
= ( sK2_SY0 @ SV35 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[593:[bind(SV12,$thf( sK2_SY0 ))]]) ).
thf(838,plain,
! [SV124: $i,SV35: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV35 )
= ( sK2_SY0 @ SV35 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV124 )
= ( sK3_SY2 @ SV124 ) )
= $true ) ),
inference(extuni,[status(esa)],[659:[bind(SV12,$thf( sK2_SY0 ))]]) ).
thf(839,plain,
! [SV35: $i,SV228: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV228 )
= ( sK3_SY2 @ SV228 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV35 )
= ( sK2_SY0 @ SV35 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[764:[bind(SV12,$thf( sK2_SY0 ))]]) ).
thf(840,plain,
! [SV229: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV229 )
= ( sK2_SY0 @ SV229 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[765:[bind(SV12,$thf( sK2_SY0 ))]]) ).
thf(841,plain,
! [SV230: $i,SV97: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV97 )
= ( sK3_SY2 @ SV97 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV230 )
= ( sK2_SY0 @ SV230 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[766:[bind(SV12,$thf( sK2_SY0 ))]]) ).
thf(842,plain,
! [SV231: $i,SV232: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV232 )
= ( sK3_SY2 @ SV232 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV231 )
= ( sK2_SY0 @ SV231 ) )
= $true )
| ( sK1_B = $false ) ),
inference(extuni,[status(esa)],[767:[bind(SV12,$thf( sK2_SY0 ))]]) ).
thf(844,plain,
! [SV99: $i] :
( ( sK1_B = $true )
| ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV99 )
= ( sK3_SY2 @ SV99 ) )
= $true ) ),
inference(extuni,[status(esa)],[604:[bind(SV12,$thf( sK3_SY2 ))]]) ).
thf(845,plain,
! [SV239: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV239 )
= ( sK3_SY2 @ SV239 ) )
= $true )
| ( sK1_B = $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[773:[bind(SV12,$thf( sK3_SY2 ))]]) ).
thf(847,plain,
! [SV144: $i,SV48: $i] :
( ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV48 )
= ( sK2_SY0 @ SV48 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV144 )
= ( sK3_SY2 @ SV144 ) )
= $true ) ),
inference(extuni,[status(esa)],[693:[bind(SV12,$thf( sK3_SY2 ))]]) ).
thf(848,plain,
! [SV48: $i,SV240: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV240 )
= ( sK3_SY2 @ SV240 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV48 )
= ( sK2_SY0 @ SV48 ) )
= $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[774:[bind(SV12,$thf( sK3_SY2 ))]]) ).
thf(850,plain,
! [SV242: $i,SV128: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV128 )
= ( sK3_SY2 @ SV128 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV242 )
= ( sK2_SY0 @ SV242 ) )
= $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[776:[bind(SV12,$thf( sK3_SY2 ))]]) ).
thf(851,plain,
! [SV243: $i,SV244: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV244 )
= ( sK3_SY2 @ SV244 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV243 )
= ( sK2_SY0 @ SV243 ) )
= $true )
| ( sK1_B = $true ) ),
inference(extuni,[status(esa)],[777:[bind(SV12,$thf( sK3_SY2 ))]]) ).
thf(852,plain,
! [SV9: $i > $i,SV37: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV37 )
= ( sK2_SY0 @ SV37 ) )
= $true )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(sim,[status(thm)],[610]) ).
thf(853,plain,
! [SV9: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( SV9 @ ( sK6_SV13 @ SV9 ) )
= ( sK2_SY0 @ ( sK6_SV13 @ SV9 ) ) )
= $false ) ),
inference(sim,[status(thm)],[521]) ).
thf(854,plain,
! [SV9: $i > $i,SV26: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV26 )
= ( sK2_SY0 @ SV26 ) )
= $true )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[524]) ).
thf(855,plain,
! [SV9: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( SV9 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[428]) ).
thf(856,plain,
! [SV9: $i > $i,SV104: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV104 )
= ( sK3_SY2 @ SV104 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(sim,[status(thm)],[615]) ).
thf(857,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV9 @ ( sK10_SV17 @ SV9 ) )
= ( sK3_SY2 @ ( sK10_SV17 @ SV9 ) ) )
= $false ) ),
inference(sim,[status(thm)],[530]) ).
thf(858,plain,
! [SV9: $i > $i,SV78: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV78 )
= ( sK3_SY2 @ SV78 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(sim,[status(thm)],[535]) ).
thf(859,plain,
! [SV9: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( ( SV9 = sK3_SY2 )
= $false ) ),
inference(sim,[status(thm)],[438]) ).
thf(860,plain,
! [SV10: $i > $i,SV40: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV40 )
= ( sK2_SY0 @ SV40 ) )
= $true )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(sim,[status(thm)],[625]) ).
thf(861,plain,
! [SV10: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( SV10 @ ( sK7_SV14 @ SV10 ) )
= ( sK2_SY0 @ ( sK7_SV14 @ SV10 ) ) )
= $false ) ),
inference(sim,[status(thm)],[544]) ).
thf(862,plain,
! [SV10: $i > $i,SV29: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[547]) ).
thf(863,plain,
! [SV10: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( SV10 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[453]) ).
thf(864,plain,
! [SV10: $i > $i,SV111: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV111 )
= ( sK3_SY2 @ SV111 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(sim,[status(thm)],[630]) ).
thf(865,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV10 @ ( sK11_SV18 @ SV10 ) )
= ( sK3_SY2 @ ( sK11_SV18 @ SV10 ) ) )
= $false ) ),
inference(sim,[status(thm)],[553]) ).
thf(866,plain,
! [SV10: $i > $i,SV85: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV85 )
= ( sK3_SY2 @ SV85 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(sim,[status(thm)],[558]) ).
thf(867,plain,
! [SV10: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( ( SV10 = sK3_SY2 )
= $false ) ),
inference(sim,[status(thm)],[463]) ).
thf(868,plain,
! [SV11: $i > $i,SV43: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV43 )
= ( sK2_SY0 @ SV43 ) )
= $true )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(sim,[status(thm)],[640]) ).
thf(869,plain,
! [SV11: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( SV11 @ ( sK8_SV15 @ SV11 ) )
= ( sK2_SY0 @ ( sK8_SV15 @ SV11 ) ) )
= $false ) ),
inference(sim,[status(thm)],[567]) ).
thf(870,plain,
! [SV11: $i > $i,SV32: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV32 )
= ( sK2_SY0 @ SV32 ) )
= $true )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[570]) ).
thf(871,plain,
! [SV11: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( SV11 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[478]) ).
thf(872,plain,
! [SV11: $i > $i,SV118: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV118 )
= ( sK3_SY2 @ SV118 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(sim,[status(thm)],[645]) ).
thf(873,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV11 @ ( sK12_SV19 @ SV11 ) )
= ( sK3_SY2 @ ( sK12_SV19 @ SV11 ) ) )
= $false ) ),
inference(sim,[status(thm)],[576]) ).
thf(874,plain,
! [SV11: $i > $i,SV92: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV92 )
= ( sK3_SY2 @ SV92 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(sim,[status(thm)],[581]) ).
thf(875,plain,
! [SV11: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( ( SV11 = sK3_SY2 )
= $false ) ),
inference(sim,[status(thm)],[488]) ).
thf(876,plain,
! [SV12: $i > $i,SV46: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV46 )
= ( sK2_SY0 @ SV46 ) )
= $true )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(sim,[status(thm)],[655]) ).
thf(877,plain,
! [SV12: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( SV12 @ ( sK9_SV16 @ SV12 ) )
= ( sK2_SY0 @ ( sK9_SV16 @ SV12 ) ) )
= $false ) ),
inference(sim,[status(thm)],[590]) ).
thf(878,plain,
! [SV12: $i > $i,SV35: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV35 )
= ( sK2_SY0 @ SV35 ) )
= $true )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[593]) ).
thf(879,plain,
! [SV12: $i > $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( SV12 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[503]) ).
thf(880,plain,
! [SV12: $i > $i,SV125: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV125 )
= ( sK3_SY2 @ SV125 ) )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(sim,[status(thm)],[660]) ).
thf(881,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( ( ( SV12 @ ( sK13_SV20 @ SV12 ) )
= ( sK3_SY2 @ ( sK13_SV20 @ SV12 ) ) )
= $false ) ),
inference(sim,[status(thm)],[599]) ).
thf(882,plain,
! [SV12: $i > $i,SV99: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV99 )
= ( sK3_SY2 @ SV99 ) )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(sim,[status(thm)],[604]) ).
thf(883,plain,
! [SV12: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) ) )
= sK3_SY2 )
= $true )
| ( sK1_B = $true )
| ( ( SV12 = sK3_SY2 )
= $false ) ),
inference(sim,[status(thm)],[513]) ).
thf(884,plain,
! [SV26: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV26 )
= ( sK2_SY0 @ SV26 ) )
= $true ) ),
inference(sim,[status(thm)],[782]) ).
thf(885,plain,
! [SV157: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV157 )
= ( sK2_SY0 @ SV157 ) )
= $true ) ),
inference(sim,[status(thm)],[785]) ).
thf(886,plain,
! [SV78: $i] :
( ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV78 )
= ( sK3_SY2 @ SV78 ) )
= $true ) ),
inference(sim,[status(thm)],[789]) ).
thf(887,plain,
! [SV167: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV167 )
= ( sK3_SY2 @ SV167 ) )
= $true )
| ( sK1_B = $true ) ),
inference(sim,[status(thm)],[790]) ).
thf(888,plain,
! [SV29: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV29 )
= ( sK2_SY0 @ SV29 ) )
= $true ) ),
inference(sim,[status(thm)],[801]) ).
thf(889,plain,
! [SV181: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV181 )
= ( sK2_SY0 @ SV181 ) )
= $true ) ),
inference(sim,[status(thm)],[804]) ).
thf(890,plain,
! [SV85: $i] :
( ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV85 )
= ( sK3_SY2 @ SV85 ) )
= $true ) ),
inference(sim,[status(thm)],[808]) ).
thf(891,plain,
! [SV191: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV191 )
= ( sK3_SY2 @ SV191 ) )
= $true )
| ( sK1_B = $true ) ),
inference(sim,[status(thm)],[809]) ).
thf(892,plain,
! [SV32: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV32 )
= ( sK2_SY0 @ SV32 ) )
= $true ) ),
inference(sim,[status(thm)],[819]) ).
thf(893,plain,
! [SV205: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV205 )
= ( sK2_SY0 @ SV205 ) )
= $true ) ),
inference(sim,[status(thm)],[822]) ).
thf(894,plain,
! [SV92: $i] :
( ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV92 )
= ( sK3_SY2 @ SV92 ) )
= $true ) ),
inference(sim,[status(thm)],[826]) ).
thf(895,plain,
! [SV215: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV215 )
= ( sK3_SY2 @ SV215 ) )
= $true )
| ( sK1_B = $true ) ),
inference(sim,[status(thm)],[827]) ).
thf(896,plain,
! [SV35: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV35 )
= ( sK2_SY0 @ SV35 ) )
= $true ) ),
inference(sim,[status(thm)],[837]) ).
thf(897,plain,
! [SV229: $i] :
( ( sK1_B = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV229 )
= ( sK2_SY0 @ SV229 ) )
= $true ) ),
inference(sim,[status(thm)],[840]) ).
thf(898,plain,
! [SV99: $i] :
( ( sK1_B = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV99 )
= ( sK3_SY2 @ SV99 ) )
= $true ) ),
inference(sim,[status(thm)],[844]) ).
thf(899,plain,
! [SV239: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ sK1_B
| ( SX0 != sK2_SY0 ) )
| ~ ( ~ ~ sK1_B
| ( SX0 != sK3_SY2 ) ) )
@ SV239 )
= ( sK3_SY2 @ SV239 ) )
= $true )
| ( sK1_B = $true ) ),
inference(sim,[status(thm)],[845]) ).
thf(900,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[25,899,898,897,896,895,894,893,892,891,890,889,888,887,886,885,884,883,882,881,880,879,878,877,876,875,874,873,872,871,870,869,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,853,852,851,850,848,847,842,841,839,838,833,832,830,829,824,823,821,820,815,814,812,811,806,805,803,802,797,796,795,793,792,787,786,784,783,778,697,696,695,694,693,692,691,688,687,686,685,682,681,680,679,676,675,674,673,670,669,668,665,659,658,657,654,653,650,644,643,642,639,638,635,629,628,627,624,623,620,614,613,612,609,596,595,592,586,573,572,569,563,550,549,546,540,527,526,523,505,480,455,430,29,28,27]) ).
thf(901,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[900]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO542^1 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n017.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Oct 6 17:38:00 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.95/1.22
% 5.95/1.22 No.of.Axioms: 1
% 5.95/1.22
% 5.95/1.22 Length.of.Defs: 183
% 5.95/1.22
% 5.95/1.22 Contains.Choice.Funs: true
% 5.95/1.22
% 5.95/1.22 *** Modified list of choice operators: epsii ***
% 5.95/1.22 ....................
% 5.95/1.22
% 5.95/1.22 ********************************
% 5.95/1.22 * All subproblems solved! *
% 5.95/1.22 ********************************
% 5.95/1.22 % SZS status Theorem for /export/starexec/sandbox/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:900,loop_count:0,foatp_calls:2,translation:fof_experiment)
% 5.95/1.22
% 5.95/1.22 %**** Beginning of derivation protocol ****
% 5.95/1.22 % SZS output start CNFRefutation
% See solution above
% 5.95/1.22
% 5.95/1.22 %**** End of derivation protocol ****
% 5.95/1.22 %**** no. of clauses in derivation: 662 ****
% 5.95/1.22 %**** clause counter: 900 ****
% 5.95/1.22
% 5.95/1.22 % SZS status Theorem for /export/starexec/sandbox/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:900,loop_count:0,foatp_calls:2,translation:fof_experiment)
%------------------------------------------------------------------------------