%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO541^1 : 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 : n001.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 2.06s 0.63s
% Output : CNFRefutation 2.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 2
% Syntax : Number of formulae : 404 ( 37 unt; 0 typ; 1 def)
% Number of atoms : 6976 (3696 equ; 0 cnn)
% Maximal formula atoms : 4 ( 17 avg)
% Number of connectives : 10891 (5807 ~;3283 |; 6 &;1795 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1014 (1014 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 6 con; 0-4 aty)
% Number of variables : 1285 ( 680 ^; 605 !; 0 ?;1285 :)
% 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_SV239,type,
sK10_SV239: ( $i > $i ) > $i ).
thf(tp_sK11_SV240,type,
sK11_SV240: ( $i > $i ) > $i ).
thf(tp_sK12_SV241,type,
sK12_SV241: ( $i > $i ) > $i ).
thf(tp_sK13_SV242,type,
sK13_SV242: ( $i > $i ) > $i ).
thf(tp_sK14_E,type,
sK14_E: $i ).
thf(tp_sK1_X,type,
sK1_X: $i > $i ).
thf(tp_sK2_SY0,type,
sK2_SY0: $i > $i ).
thf(tp_sK3_SV2,type,
sK3_SV2: $i ).
thf(tp_sK4_SV8,type,
sK4_SV8: ( $i > $i ) > $i ).
thf(tp_sK5_SV9,type,
sK5_SV9: ( $i > $i ) > $i ).
thf(tp_sK6_SV10,type,
sK6_SV10: ( $i > $i ) > $i ).
thf(tp_sK7_SV11,type,
sK7_SV11: ( $i > $i ) > $i ).
thf(tp_sK8_E,type,
sK8_E: $i ).
thf(tp_sK9_SV233,type,
sK9_SV233: $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,
! [X: $i > $i,Y: $i > $i] :
( ( ( if @ $true @ X @ Y )
= X )
& ( ( if @ $false @ X @ Y )
= Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(3,negated_conjecture,
( ( ! [X: $i > $i,Y: $i > $i] :
( ( ( if @ $true @ X @ Y )
= X )
& ( ( if @ $false @ X @ Y )
= Y ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,plain,
( ( ! [SY0: $i > $i] :
( ( ( if @ $true @ sK1_X @ SY0 )
= sK1_X )
& ( ( if @ $false @ sK1_X @ SY0 )
= SY0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ( ( if @ $true @ sK1_X @ sK2_SY0 )
= sK1_X )
& ( ( if @ $false @ sK1_X @ sK2_SY0 )
= sK2_SY0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ( if @ $true @ sK1_X @ sK2_SY0 )
= sK1_X )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[5]) ).
thf(7,plain,
( ( ( if @ $false @ sK1_X @ sK2_SY0 )
= sK2_SY0 )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[5]) ).
thf(8,plain,
( ( ( if @ $true @ sK1_X @ sK2_SY0 )
!= sK1_X )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(9,plain,
( ( ( if @ $false @ sK1_X @ sK2_SY0 )
!= sK2_SY0 )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(12,plain,
( ( ( if @ $true @ sK1_X @ sK2_SY0 )
!= sK1_X )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(13,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X )
= $true ),
inference(unfold_def,[status(thm)],[12,if]) ).
thf(15,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(17,plain,
( ( ! [SV2: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV2 )
= ( sK1_X @ SV2 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[15]) ).
thf(20,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ sK3_SV2 )
= ( sK1_X @ sK3_SV2 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[17]) ).
thf(22,plain,
( ( ~ ~ ! [SY4: $i > $i] :
~ ( ~ ( ~ $true
| ( SY4 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SY4 != sK2_SY0 ) ) )
| ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ),
inference(choice,[status(thm)],[18]) ).
thf(23,plain,
( ( ~ ~ ! [SY6: $i > $i] :
~ ( ~ ( ~ $true
| ( SY6 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SY6 != sK2_SY0 ) ) )
| ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ),
inference(choice,[status(thm)],[20]) ).
thf(24,plain,
( ( ( ~ ~ ! [SY4: $i > $i] :
~ ( ~ ( ~ $true
| ( SY4 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SY4 != sK2_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(25,plain,
( ( ( ~ ~ ! [SY6: $i > $i] :
~ ( ~ ( ~ $true
| ( SY6 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SY6 != sK2_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(26,plain,
( ( ( ~ ! [SY4: $i > $i] :
~ ( ~ ( ~ $true
| ( SY4 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SY4 != sK2_SY0 ) ) ) )
= $false )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(27,plain,
( ( ( ~ ! [SY6: $i > $i] :
~ ( ~ ( ~ $true
| ( SY6 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SY6 != sK2_SY0 ) ) ) )
= $false )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(28,plain,
( ( ( ! [SY4: $i > $i] :
~ ( ~ ( ~ $true
| ( SY4 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SY4 != sK2_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(29,plain,
( ( ( ! [SY6: $i > $i] :
~ ( ~ ( ~ $true
| ( SY6 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SY6 != sK2_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(30,plain,
! [SV6: $i > $i] :
( ( ( ~ ( ~ ( ~ $true
| ( SV6 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SV6 != sK2_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(31,plain,
! [SV7: $i > $i] :
( ( ( ~ ( ~ ( ~ $true
| ( SV7 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SV7 != sK2_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(32,plain,
! [SV6: $i > $i] :
( ( ( ~ ( ~ $true
| ( SV6 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SV6 != sK2_SY0 ) ) )
= $false )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(33,plain,
! [SV7: $i > $i] :
( ( ( ~ ( ~ $true
| ( SV7 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SV7 != sK2_SY0 ) ) )
= $false )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(34,plain,
! [SV6: $i > $i] :
( ( ( ~ ( ~ $true
| ( SV6 != sK1_X ) ) )
= $false )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(36,plain,
! [SV7: $i > $i] :
( ( ( ~ ( ~ $true
| ( SV7 != sK1_X ) ) )
= $false )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(38,plain,
! [SV6: $i > $i] :
( ( ( ~ $true
| ( SV6 != sK1_X ) )
= $true )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(40,plain,
! [SV7: $i > $i] :
( ( ( ~ $true
| ( SV7 != sK1_X ) )
= $true )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(42,plain,
! [SV6: $i > $i] :
( ( ( ~ $true ) = $true )
| ( ( SV6 != sK1_X )
= $true )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(44,plain,
! [SV7: $i > $i] :
( ( ( ~ $true ) = $true )
| ( ( SV7 != sK1_X )
= $true )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(46,plain,
! [SV6: $i > $i] :
( ( $true = $false )
| ( ( SV6 != sK1_X )
= $true )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(48,plain,
! [SV7: $i > $i] :
( ( $true = $false )
| ( ( SV7 != sK1_X )
= $true )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(50,plain,
! [SV6: $i > $i] :
( ( ( SV6 = sK1_X )
= $false )
| ( $true = $false )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(52,plain,
! [SV7: $i > $i] :
( ( ( SV7 = sK1_X )
= $false )
| ( $true = $false )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(54,plain,
! [SV6: $i > $i] :
( ( ( ! [SV8: $i] :
( ( SV6 @ SV8 )
= ( sK1_X @ SV8 ) ) )
= $false )
| ( $true = $false )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[50]) ).
thf(55,plain,
! [SV6: $i > $i] :
( ( ( SV6 = sK1_X )
= $false )
| ( $true = $false )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[50]) ).
thf(57,plain,
! [SV7: $i > $i] :
( ( ( ! [SV9: $i] :
( ( SV7 @ SV9 )
= ( sK1_X @ SV9 ) ) )
= $false )
| ( $true = $false )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[52]) ).
thf(58,plain,
! [SV7: $i > $i] :
( ( ( SV7 = sK1_X )
= $false )
| ( $true = $false )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[52]) ).
thf(60,plain,
! [SV6: $i > $i] :
( ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false )
| ( $true = $false )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[54]) ).
thf(61,plain,
! [SV6: $i > $i] :
( ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) ) )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(64,plain,
! [SV7: $i > $i] :
( ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false )
| ( $true = $false )
| ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[57]) ).
thf(65,plain,
! [SV7: $i > $i] :
( ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) ) )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(68,plain,
! [SV6: $i > $i] :
( ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) ) )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(69,plain,
! [SV6: $i > $i] :
( ( ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
= $false )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(72,plain,
! [SV7: $i > $i] :
( ( ( ~ ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) ) )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(73,plain,
! [SV7: $i > $i] :
( ( ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
= $false )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(76,plain,
! [SV6: $i > $i] :
( ( ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
= $false )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(78,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X )
= $false )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(81,plain,
! [SV7: $i > $i] :
( ( ( ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
= $false )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(83,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X )
= $false )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(87,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X )
= $false )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(89,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(94,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X )
= $false )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(96,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(101,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(103,plain,
! [SV6: $i > $i] :
( ( ( ! [SV12: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV12 )
= ( sK1_X @ SV12 ) ) )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[89]) ).
thf(104,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[89]) ).
thf(110,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(112,plain,
! [SV7: $i > $i] :
( ( ( ! [SV13: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV13 )
= ( sK1_X @ SV13 ) ) )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[96]) ).
thf(113,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[96]) ).
thf(119,plain,
! [SV6: $i > $i] :
( ( ( ! [SV14: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV14 )
= ( sK1_X @ SV14 ) ) )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[101]) ).
thf(120,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[101]) ).
thf(123,plain,
! [SV6: $i > $i,SV15: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK1_X @ SV15 ) )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(124,plain,
! [SV6: $i > $i] :
( ( ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(131,plain,
! [SV7: $i > $i] :
( ( ( ! [SV17: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV17 )
= ( sK1_X @ SV17 ) ) )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[110]) ).
thf(132,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[110]) ).
thf(135,plain,
! [SV7: $i > $i,SV18: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK1_X @ SV18 ) )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(136,plain,
! [SV7: $i > $i] :
( ( ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(144,plain,
! [SV6: $i > $i,SV20: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK1_X @ SV20 ) )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(145,plain,
! [SV6: $i > $i] :
( ( ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(148,plain,
! [SV6: $i > $i,SV15: $i] :
( ( ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK1_X @ SV15 ) )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(149,plain,
! [SV6: $i > $i] :
( ( ( ~ ~ $true )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(150,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(160,plain,
! [SV7: $i > $i,SV23: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK1_X @ SV23 ) )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(161,plain,
! [SV7: $i > $i] :
( ( ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(164,plain,
! [SV7: $i > $i,SV18: $i] :
( ( ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK1_X @ SV18 ) )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(165,plain,
! [SV7: $i > $i] :
( ( ( ~ ~ $true )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(166,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(176,plain,
! [SV6: $i > $i,SV20: $i] :
( ( ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK1_X @ SV20 ) )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(177,plain,
! [SV6: $i > $i] :
( ( ( ~ ~ $true )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(178,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(182,plain,
! [SV6: $i > $i,SV15: $i] :
( ( ( ~ ~ $true )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK1_X @ SV15 ) )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(183,plain,
! [SV6: $i > $i,SV15: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK1_X @ SV15 ) )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(184,plain,
! [SV6: $i > $i] :
( ( ( ~ $true ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(185,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(197,plain,
! [SV7: $i > $i,SV23: $i] :
( ( ( ~ ~ $true
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK1_X @ SV23 ) )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(198,plain,
! [SV7: $i > $i] :
( ( ( ~ ~ $true )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(199,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(203,plain,
! [SV7: $i > $i,SV18: $i] :
( ( ( ~ ~ $true )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK1_X @ SV18 ) )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(204,plain,
! [SV7: $i > $i,SV18: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK1_X @ SV18 ) )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(205,plain,
! [SV7: $i > $i] :
( ( ( ~ $true ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(206,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(219,plain,
! [SV6: $i > $i,SV20: $i] :
( ( ( ~ ~ $true )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK1_X @ SV20 ) )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(220,plain,
! [SV6: $i > $i,SV20: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK1_X @ SV20 ) )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(221,plain,
! [SV6: $i > $i] :
( ( ( ~ $true ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(222,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(224,plain,
! [SV6: $i > $i,SV15: $i] :
( ( ( ~ $true ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK1_X @ SV15 ) )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(225,plain,
! [SV6: $i > $i,SV15: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK1_X @ SV15 ) )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(226,plain,
! [SV6: $i > $i] :
( ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(227,plain,
! [SV6: $i > $i] :
( ( ( ! [SV32: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV32 )
= ( sK2_SY0 @ SV32 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[185]) ).
thf(228,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[185]) ).
thf(244,plain,
! [SV7: $i > $i,SV23: $i] :
( ( ( ~ ~ $true )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK1_X @ SV23 ) )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(245,plain,
! [SV7: $i > $i,SV23: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK1_X @ SV23 ) )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(246,plain,
! [SV7: $i > $i] :
( ( ( ~ $true ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(247,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(249,plain,
! [SV7: $i > $i,SV18: $i] :
( ( ( ~ $true ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK1_X @ SV18 ) )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(250,plain,
! [SV7: $i > $i,SV18: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK1_X @ SV18 ) )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(251,plain,
! [SV7: $i > $i] :
( ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(252,plain,
! [SV7: $i > $i] :
( ( ( ! [SV36: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV36 )
= ( sK2_SY0 @ SV36 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[206]) ).
thf(253,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[206]) ).
thf(267,plain,
! [SV6: $i > $i,SV20: $i] :
( ( ( ~ $true ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK1_X @ SV20 ) )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(268,plain,
! [SV6: $i > $i,SV20: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK1_X @ SV20 ) )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(269,plain,
! [SV6: $i > $i] :
( ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(270,plain,
! [SV6: $i > $i] :
( ( ( ! [SV39: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV39 )
= ( sK2_SY0 @ SV39 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[222]) ).
thf(271,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[222]) ).
thf(272,plain,
! [SV6: $i > $i,SV15: $i] :
( ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK1_X @ SV15 ) )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(273,plain,
! [SV6: $i > $i,SV15: $i] :
( ( ( ! [SV40: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV40 )
= ( sK2_SY0 @ SV40 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK1_X @ SV15 ) )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[225]) ).
thf(274,plain,
! [SV6: $i > $i,SV15: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK1_X @ SV15 ) )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[225]) ).
thf(275,plain,
! [SV6: $i > $i,SV41: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV41 )
= ( sK2_SY0 @ SV41 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(290,plain,
! [SV7: $i > $i,SV23: $i] :
( ( ( ~ $true ) = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK1_X @ SV23 ) )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(291,plain,
! [SV7: $i > $i,SV23: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK1_X @ SV23 ) )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(292,plain,
! [SV7: $i > $i] :
( ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(293,plain,
! [SV7: $i > $i] :
( ( ( ! [SV46: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV46 )
= ( sK2_SY0 @ SV46 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[247]) ).
thf(294,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[247]) ).
thf(295,plain,
! [SV7: $i > $i,SV18: $i] :
( ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK1_X @ SV18 ) )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(296,plain,
! [SV7: $i > $i,SV18: $i] :
( ( ( ! [SV47: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV47 )
= ( sK2_SY0 @ SV47 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK1_X @ SV18 ) )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[250]) ).
thf(297,plain,
! [SV7: $i > $i,SV18: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK1_X @ SV18 ) )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[250]) ).
thf(298,plain,
! [SV7: $i > $i,SV48: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV48 )
= ( sK2_SY0 @ SV48 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(312,plain,
! [SV6: $i > $i,SV20: $i] :
( ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK1_X @ SV20 ) )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(313,plain,
! [SV6: $i > $i,SV20: $i] :
( ( ( ! [SV52: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV52 )
= ( sK2_SY0 @ SV52 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK1_X @ SV20 ) )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[268]) ).
thf(314,plain,
! [SV6: $i > $i,SV20: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK1_X @ SV20 ) )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[268]) ).
thf(315,plain,
! [SV6: $i > $i,SV53: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV53 )
= ( sK2_SY0 @ SV53 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(316,plain,
! [SV6: $i > $i,SV15: $i,SV54: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV54 )
= ( sK2_SY0 @ SV54 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK1_X @ SV15 ) )
= $true )
| ( $true = $false )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(327,plain,
! [SV7: $i > $i,SV23: $i] :
( ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK1_X @ SV23 ) )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(328,plain,
! [SV7: $i > $i,SV23: $i] :
( ( ( ! [SV59: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV59 )
= ( sK2_SY0 @ SV59 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK1_X @ SV23 ) )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[291]) ).
thf(329,plain,
! [SV7: $i > $i,SV23: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK1_X @ SV23 ) )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[291]) ).
thf(330,plain,
! [SV7: $i > $i,SV60: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV60 )
= ( sK2_SY0 @ SV60 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(331,plain,
! [SV7: $i > $i,SV18: $i,SV61: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV61 )
= ( sK2_SY0 @ SV61 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK1_X @ SV18 ) )
= $true )
| ( $true = $false )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(342,plain,
! [SV6: $i > $i,SV20: $i,SV66: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV66 )
= ( sK2_SY0 @ SV66 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK1_X @ SV20 ) )
= $true )
| ( $true = $false )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(348,plain,
! [SV7: $i > $i,SV23: $i,SV70: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV70 )
= ( sK2_SY0 @ SV70 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK1_X @ SV23 ) )
= $true )
| ( $true = $false )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(362,plain,
! [SV6: $i > $i,SV15: $i,SV83: $i] :
( ( ( SV6 = sK1_X )
= $false )
| ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK1_X @ SV15 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV83 )
= ( sK2_SY0 @ SV83 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[274]) ).
thf(363,plain,
! [SV6: $i > $i,SV84: $i] :
( ( ( SV6 = sK1_X )
= $false )
| ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV84 )
= ( sK1_X @ SV84 ) )
= $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[226]) ).
thf(364,plain,
! [SV6: $i > $i,SV41: $i,SV85: $i] :
( ( ( SV6 = sK1_X )
= $false )
| ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV85 )
= ( sK1_X @ SV85 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV41 )
= ( sK2_SY0 @ SV41 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[275]) ).
thf(365,plain,
! [SV6: $i > $i,SV86: $i,SV87: $i] :
( ( ( SV6 = sK1_X )
= $false )
| ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV86 )
= ( sK1_X @ SV86 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV87 )
= ( sK2_SY0 @ SV87 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[228]) ).
thf(382,plain,
! [SV7: $i > $i,SV18: $i,SV107: $i] :
( ( ( SV7 = sK1_X )
= $false )
| ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK1_X @ SV18 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV107 )
= ( sK2_SY0 @ SV107 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[297]) ).
thf(383,plain,
! [SV7: $i > $i,SV108: $i] :
( ( ( SV7 = sK1_X )
= $false )
| ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV108 )
= ( sK1_X @ SV108 ) )
= $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[251]) ).
thf(384,plain,
! [SV7: $i > $i,SV48: $i,SV109: $i] :
( ( ( SV7 = sK1_X )
= $false )
| ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV109 )
= ( sK1_X @ SV109 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV48 )
= ( sK2_SY0 @ SV48 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[298]) ).
thf(385,plain,
! [SV7: $i > $i,SV110: $i,SV111: $i] :
( ( ( SV7 = sK1_X )
= $false )
| ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV110 )
= ( sK1_X @ SV110 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV111 )
= ( sK2_SY0 @ SV111 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[253]) ).
thf(396,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ sK8_E )
= ( sK1_X @ sK8_E ) )
= $false ),
inference(extuni,[status(esa)],[18]) ).
thf(400,plain,
! [SV15: $i] :
( ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK1_X @ SV15 ) )
= $true )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[272:[bind(SV6,$thf( sK1_X ))]]) ).
thf(401,plain,
! [SV54: $i,SV15: $i] :
( ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK1_X @ SV15 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV54 )
= ( sK2_SY0 @ SV54 ) )
= $true ) ),
inference(extuni,[status(esa)],[316:[bind(SV6,$thf( sK1_X ))]]) ).
thf(402,plain,
! [SV15: $i,SV83: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV83 )
= ( sK2_SY0 @ SV83 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK1_X @ SV15 ) )
= $true )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[362:[bind(SV6,$thf( sK1_X ))]]) ).
thf(403,plain,
! [SV84: $i] :
( ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV84 )
= ( sK1_X @ SV84 ) )
= $true )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[363:[bind(SV6,$thf( sK1_X ))]]) ).
thf(404,plain,
! [SV85: $i,SV41: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV41 )
= ( sK2_SY0 @ SV41 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV85 )
= ( sK1_X @ SV85 ) )
= $true )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[364:[bind(SV6,$thf( sK1_X ))]]) ).
thf(405,plain,
! [SV86: $i,SV87: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV87 )
= ( sK2_SY0 @ SV87 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV86 )
= ( sK1_X @ SV86 ) )
= $true )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[365:[bind(SV6,$thf( sK1_X ))]]) ).
thf(418,plain,
! [SV18: $i] :
( ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK1_X @ SV18 ) )
= $true )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[295:[bind(SV7,$thf( sK1_X ))]]) ).
thf(419,plain,
! [SV61: $i,SV18: $i] :
( ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK1_X @ SV18 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV61 )
= ( sK2_SY0 @ SV61 ) )
= $true ) ),
inference(extuni,[status(esa)],[331:[bind(SV7,$thf( sK1_X ))]]) ).
thf(420,plain,
! [SV18: $i,SV107: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV107 )
= ( sK2_SY0 @ SV107 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK1_X @ SV18 ) )
= $true )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[382:[bind(SV7,$thf( sK1_X ))]]) ).
thf(421,plain,
! [SV108: $i] :
( ( $true = $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV108 )
= ( sK1_X @ SV108 ) )
= $true )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[383:[bind(SV7,$thf( sK1_X ))]]) ).
thf(422,plain,
! [SV109: $i,SV48: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV48 )
= ( sK2_SY0 @ SV48 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV109 )
= ( sK1_X @ SV109 ) )
= $true )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[384:[bind(SV7,$thf( sK1_X ))]]) ).
thf(423,plain,
! [SV110: $i,SV111: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV111 )
= ( sK2_SY0 @ SV111 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV110 )
= ( sK1_X @ SV110 ) )
= $true )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[385:[bind(SV7,$thf( sK1_X ))]]) ).
thf(433,plain,
! [SV6: $i > $i,SV20: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK1_X @ SV20 ) )
= $true )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(sim,[status(thm)],[312]) ).
thf(434,plain,
! [SV6: $i > $i,SV20: $i,SV66: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV66 )
= ( sK2_SY0 @ SV66 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK1_X @ SV20 ) )
= $true )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(sim,[status(thm)],[342]) ).
thf(435,plain,
! [SV6: $i > $i,SV20: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV20 )
= ( sK1_X @ SV20 ) )
= $true )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(sim,[status(thm)],[314]) ).
thf(436,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(sim,[status(thm)],[269]) ).
thf(437,plain,
! [SV6: $i > $i,SV53: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV53 )
= ( sK2_SY0 @ SV53 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(sim,[status(thm)],[315]) ).
thf(438,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ( SV6 @ ( sK4_SV8 @ SV6 ) )
= ( sK1_X @ ( sK4_SV8 @ SV6 ) ) )
= $false ) ),
inference(sim,[status(thm)],[271]) ).
thf(439,plain,
! [SV6: $i > $i,SV15: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK1_X @ SV15 ) )
= $true )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(sim,[status(thm)],[272]) ).
thf(440,plain,
! [SV6: $i > $i,SV15: $i,SV54: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV54 )
= ( sK2_SY0 @ SV54 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK1_X @ SV15 ) )
= $true )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(sim,[status(thm)],[316]) ).
thf(441,plain,
! [SV6: $i > $i,SV15: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK1_X @ SV15 ) )
= $true )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(sim,[status(thm)],[274]) ).
thf(442,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(sim,[status(thm)],[226]) ).
thf(443,plain,
! [SV6: $i > $i,SV41: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV41 )
= ( sK2_SY0 @ SV41 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(sim,[status(thm)],[275]) ).
thf(444,plain,
! [SV6: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( SV6 = sK1_X )
= $false ) ),
inference(sim,[status(thm)],[228]) ).
thf(445,plain,
! [SV7: $i > $i,SV23: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK1_X @ SV23 ) )
= $true )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(sim,[status(thm)],[327]) ).
thf(446,plain,
! [SV7: $i > $i,SV23: $i,SV70: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV70 )
= ( sK2_SY0 @ SV70 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK1_X @ SV23 ) )
= $true )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(sim,[status(thm)],[348]) ).
thf(447,plain,
! [SV7: $i > $i,SV23: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV23 )
= ( sK1_X @ SV23 ) )
= $true )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(sim,[status(thm)],[329]) ).
thf(448,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(sim,[status(thm)],[292]) ).
thf(449,plain,
! [SV7: $i > $i,SV60: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV60 )
= ( sK2_SY0 @ SV60 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(sim,[status(thm)],[330]) ).
thf(450,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ( SV7 @ ( sK5_SV9 @ SV7 ) )
= ( sK1_X @ ( sK5_SV9 @ SV7 ) ) )
= $false ) ),
inference(sim,[status(thm)],[294]) ).
thf(451,plain,
! [SV7: $i > $i,SV18: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK1_X @ SV18 ) )
= $true )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(sim,[status(thm)],[295]) ).
thf(452,plain,
! [SV7: $i > $i,SV18: $i,SV61: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV61 )
= ( sK2_SY0 @ SV61 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK1_X @ SV18 ) )
= $true )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(sim,[status(thm)],[331]) ).
thf(453,plain,
! [SV7: $i > $i,SV18: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK1_X @ SV18 ) )
= $true )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(sim,[status(thm)],[297]) ).
thf(454,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(sim,[status(thm)],[251]) ).
thf(455,plain,
! [SV7: $i > $i,SV48: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV48 )
= ( sK2_SY0 @ SV48 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(sim,[status(thm)],[298]) ).
thf(456,plain,
! [SV7: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( SV7 = sK1_X )
= $false ) ),
inference(sim,[status(thm)],[253]) ).
thf(457,plain,
! [SV15: $i] :
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK1_X @ SV15 ) )
= $true ),
inference(sim,[status(thm)],[400]) ).
thf(458,plain,
! [SV54: $i,SV15: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK1_X @ SV15 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV54 )
= ( sK2_SY0 @ SV54 ) )
= $true ) ),
inference(sim,[status(thm)],[401]) ).
thf(459,plain,
! [SV15: $i,SV83: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV83 )
= ( sK2_SY0 @ SV83 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV15 )
= ( sK1_X @ SV15 ) )
= $true ) ),
inference(sim,[status(thm)],[402]) ).
thf(460,plain,
! [SV84: $i] :
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV84 )
= ( sK1_X @ SV84 ) )
= $true ),
inference(sim,[status(thm)],[403]) ).
thf(461,plain,
! [SV85: $i,SV41: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV41 )
= ( sK2_SY0 @ SV41 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV85 )
= ( sK1_X @ SV85 ) )
= $true ) ),
inference(sim,[status(thm)],[404]) ).
thf(462,plain,
! [SV86: $i,SV87: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV87 )
= ( sK2_SY0 @ SV87 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV86 )
= ( sK1_X @ SV86 ) )
= $true ) ),
inference(sim,[status(thm)],[405]) ).
thf(463,plain,
! [SV18: $i] :
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK1_X @ SV18 ) )
= $true ),
inference(sim,[status(thm)],[418]) ).
thf(464,plain,
! [SV61: $i,SV18: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK1_X @ SV18 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV61 )
= ( sK2_SY0 @ SV61 ) )
= $true ) ),
inference(sim,[status(thm)],[419]) ).
thf(465,plain,
! [SV18: $i,SV107: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV107 )
= ( sK2_SY0 @ SV107 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV18 )
= ( sK1_X @ SV18 ) )
= $true ) ),
inference(sim,[status(thm)],[420]) ).
thf(466,plain,
! [SV108: $i] :
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV108 )
= ( sK1_X @ SV108 ) )
= $true ),
inference(sim,[status(thm)],[421]) ).
thf(467,plain,
! [SV109: $i,SV48: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV48 )
= ( sK2_SY0 @ SV48 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV109 )
= ( sK1_X @ SV109 ) )
= $true ) ),
inference(sim,[status(thm)],[422]) ).
thf(468,plain,
! [SV110: $i,SV111: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV111 )
= ( sK2_SY0 @ SV111 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $true
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $true
| ( SX0 != sK2_SY0 ) ) )
@ SV110 )
= ( sK1_X @ SV110 ) )
= $true ) ),
inference(sim,[status(thm)],[423]) ).
thf(469,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[18,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,396,20]) ).
thf(471,plain,
( ( ( if @ $false @ sK1_X @ sK2_SY0 )
!= sK2_SY0 )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(472,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $true ),
inference(unfold_def,[status(thm)],[471,if]) ).
thf(474,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(476,plain,
( ( ! [SV233: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV233 )
= ( sK2_SY0 @ SV233 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[474]) ).
thf(477,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[474]) ).
thf(479,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ sK9_SV233 )
= ( sK2_SY0 @ sK9_SV233 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[476]) ).
thf(481,plain,
( ( ~ ~ ! [SY160: $i > $i] :
~ ( ~ ( ~ $false
| ( SY160 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SY160 != sK2_SY0 ) ) )
| ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ),
inference(choice,[status(thm)],[477]) ).
thf(482,plain,
( ( ~ ~ ! [SY162: $i > $i] :
~ ( ~ ( ~ $false
| ( SY162 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SY162 != sK2_SY0 ) ) )
| ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ),
inference(choice,[status(thm)],[479]) ).
thf(483,plain,
( ( ( ~ ~ ! [SY160: $i > $i] :
~ ( ~ ( ~ $false
| ( SY160 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SY160 != sK2_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[481]) ).
thf(484,plain,
( ( ( ~ ~ ! [SY162: $i > $i] :
~ ( ~ ( ~ $false
| ( SY162 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SY162 != sK2_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[482]) ).
thf(485,plain,
( ( ( ~ ! [SY160: $i > $i] :
~ ( ~ ( ~ $false
| ( SY160 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SY160 != sK2_SY0 ) ) ) )
= $false )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(486,plain,
( ( ( ~ ! [SY162: $i > $i] :
~ ( ~ ( ~ $false
| ( SY162 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SY162 != sK2_SY0 ) ) ) )
= $false )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(487,plain,
( ( ( ! [SY160: $i > $i] :
~ ( ~ ( ~ $false
| ( SY160 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SY160 != sK2_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[485]) ).
thf(488,plain,
( ( ( ! [SY162: $i > $i] :
~ ( ~ ( ~ $false
| ( SY162 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SY162 != sK2_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[486]) ).
thf(489,plain,
! [SV237: $i > $i] :
( ( ( ~ ( ~ ( ~ $false
| ( SV237 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SV237 != sK2_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(490,plain,
! [SV238: $i > $i] :
( ( ( ~ ( ~ ( ~ $false
| ( SV238 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SV238 != sK2_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(491,plain,
! [SV237: $i > $i] :
( ( ( ~ ( ~ $false
| ( SV237 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SV237 != sK2_SY0 ) ) )
= $false )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(492,plain,
! [SV238: $i > $i] :
( ( ( ~ ( ~ $false
| ( SV238 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SV238 != sK2_SY0 ) ) )
= $false )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(494,plain,
! [SV237: $i > $i] :
( ( ( ~ ( ~ ~ $false
| ( SV237 != sK2_SY0 ) ) )
= $false )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[491]) ).
thf(496,plain,
! [SV238: $i > $i] :
( ( ( ~ ( ~ ~ $false
| ( SV238 != sK2_SY0 ) ) )
= $false )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(498,plain,
! [SV237: $i > $i] :
( ( ( ~ ~ $false
| ( SV237 != sK2_SY0 ) )
= $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[494]) ).
thf(500,plain,
! [SV238: $i > $i] :
( ( ( ~ ~ $false
| ( SV238 != sK2_SY0 ) )
= $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(502,plain,
! [SV237: $i > $i] :
( ( ( ~ ~ $false )
= $true )
| ( ( SV237 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[498]) ).
thf(504,plain,
! [SV238: $i > $i] :
( ( ( ~ ~ $false )
= $true )
| ( ( SV238 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(506,plain,
! [SV237: $i > $i] :
( ( ( ~ $false ) = $false )
| ( ( SV237 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(508,plain,
! [SV238: $i > $i] :
( ( ( ~ $false ) = $false )
| ( ( SV238 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(510,plain,
! [SV237: $i > $i] :
( ( $false = $true )
| ( ( SV237 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[506]) ).
thf(512,plain,
! [SV238: $i > $i] :
( ( $false = $true )
| ( ( SV238 != sK2_SY0 )
= $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(515,plain,
! [SV237: $i > $i] :
( ( ( SV237 = sK2_SY0 )
= $false )
| ( $false = $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(518,plain,
! [SV238: $i > $i] :
( ( ( SV238 = sK2_SY0 )
= $false )
| ( $false = $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(521,plain,
! [SV237: $i > $i] :
( ( ( ! [SV241: $i] :
( ( SV237 @ SV241 )
= ( sK2_SY0 @ SV241 ) ) )
= $false )
| ( $false = $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[515]) ).
thf(522,plain,
! [SV237: $i > $i] :
( ( ( SV237 = sK2_SY0 )
= $false )
| ( $false = $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[515]) ).
thf(525,plain,
! [SV238: $i > $i] :
( ( ( ! [SV242: $i] :
( ( SV238 @ SV242 )
= ( sK2_SY0 @ SV242 ) ) )
= $false )
| ( $false = $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[518]) ).
thf(526,plain,
! [SV238: $i > $i] :
( ( ( SV238 = sK2_SY0 )
= $false )
| ( $false = $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[518]) ).
thf(529,plain,
! [SV237: $i > $i] :
( ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false )
| ( $false = $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[521]) ).
thf(530,plain,
! [SV237: $i > $i] :
( ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) ) )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(533,plain,
! [SV238: $i > $i] :
( ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false )
| ( $false = $true )
| ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
| ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[525]) ).
thf(534,plain,
! [SV238: $i > $i] :
( ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) ) )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(538,plain,
! [SV237: $i > $i] :
( ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) ) )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[529]) ).
thf(539,plain,
! [SV237: $i > $i] :
( ( ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
= $false )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(543,plain,
! [SV238: $i > $i] :
( ( ( ~ ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) ) )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[533]) ).
thf(544,plain,
! [SV238: $i > $i] :
( ( ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
= $false )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(549,plain,
! [SV237: $i > $i] :
( ( ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
= $false )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(550,plain,
! [SV237: $i > $i] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(551,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X )
= $false )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(556,plain,
! [SV238: $i > $i] :
( ( ( ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X ) )
= $false )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(557,plain,
! [SV238: $i > $i] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(558,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X )
= $false )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(564,plain,
! [SV237: $i > $i] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[549]) ).
thf(565,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X )
= $false )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[549]) ).
thf(566,plain,
! [SV237: $i > $i] :
( ( $false = $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[550]) ).
thf(567,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(573,plain,
! [SV238: $i > $i] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(574,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK1_X )
= $false )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(575,plain,
! [SV238: $i > $i] :
( ( $false = $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(576,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[558]) ).
thf(584,plain,
! [SV237: $i > $i] :
( ( $false = $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[564]) ).
thf(585,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(586,plain,
! [SV237: $i > $i] :
( ( ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( $false = $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(587,plain,
! [SV237: $i > $i] :
( ( ( ! [SV247: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV247 )
= ( sK1_X @ SV247 ) ) )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[567]) ).
thf(588,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[567]) ).
thf(596,plain,
! [SV238: $i > $i] :
( ( $false = $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[573]) ).
thf(597,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[574]) ).
thf(598,plain,
! [SV238: $i > $i] :
( ( ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( $false = $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(599,plain,
! [SV238: $i > $i] :
( ( ( ! [SV250: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV250 )
= ( sK1_X @ SV250 ) ) )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[576]) ).
thf(600,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[576]) ).
thf(610,plain,
! [SV237: $i > $i] :
( ( ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( $false = $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(611,plain,
! [SV237: $i > $i] :
( ( ( ! [SV252: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV252 )
= ( sK1_X @ SV252 ) ) )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[585]) ).
thf(612,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[585]) ).
thf(614,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( $false = $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[586]) ).
thf(615,plain,
! [SV237: $i > $i,SV253: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV253 )
= ( sK1_X @ SV253 ) )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(616,plain,
! [SV237: $i > $i] :
( ( ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(626,plain,
! [SV238: $i > $i] :
( ( ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( $false = $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(627,plain,
! [SV238: $i > $i] :
( ( ( ! [SV255: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV255 )
= ( sK1_X @ SV255 ) ) )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[597]) ).
thf(628,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[597]) ).
thf(630,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( $false = $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(631,plain,
! [SV238: $i > $i,SV256: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV256 )
= ( sK1_X @ SV256 ) )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(632,plain,
! [SV238: $i > $i] :
( ( ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(646,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( $false = $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[610]) ).
thf(647,plain,
! [SV237: $i > $i,SV258: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV258 )
= ( sK1_X @ SV258 ) )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(648,plain,
! [SV237: $i > $i] :
( ( ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(650,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( $false = $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[614]) ).
thf(651,plain,
! [SV237: $i > $i,SV253: $i] :
( ( ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV253 )
= ( sK1_X @ SV253 ) )
= $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(653,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[616]) ).
thf(667,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( $false = $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[626]) ).
thf(668,plain,
! [SV238: $i > $i,SV260: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV260 )
= ( sK1_X @ SV260 ) )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(669,plain,
! [SV238: $i > $i] :
( ( ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(671,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( $false = $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(672,plain,
! [SV238: $i > $i,SV256: $i] :
( ( ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV256 )
= ( sK1_X @ SV256 ) )
= $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(674,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[632]) ).
thf(689,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( $false = $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[646]) ).
thf(690,plain,
! [SV237: $i > $i,SV258: $i] :
( ( ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV258 )
= ( sK1_X @ SV258 ) )
= $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(692,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[648]) ).
thf(694,plain,
! [SV237: $i > $i] :
( ( ( ! [SV264: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV264 )
= ( sK2_SY0 @ SV264 ) ) )
= $true )
| ( $false = $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[650]) ).
thf(695,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( $false = $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[650]) ).
thf(697,plain,
! [SV237: $i > $i,SV253: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV253 )
= ( sK1_X @ SV253 ) )
= $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[651]) ).
thf(699,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[653]) ).
thf(714,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( $false = $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[667]) ).
thf(715,plain,
! [SV238: $i > $i,SV260: $i] :
( ( ( ~ ~ $false
| ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV260 )
= ( sK1_X @ SV260 ) )
= $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(717,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[669]) ).
thf(719,plain,
! [SV238: $i > $i] :
( ( ( ! [SV268: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV268 )
= ( sK2_SY0 @ SV268 ) ) )
= $true )
| ( $false = $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[671]) ).
thf(720,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( $false = $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[671]) ).
thf(722,plain,
! [SV238: $i > $i,SV256: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV256 )
= ( sK1_X @ SV256 ) )
= $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(724,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[674]) ).
thf(736,plain,
! [SV237: $i > $i] :
( ( ( ! [SV273: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV273 )
= ( sK2_SY0 @ SV273 ) ) )
= $true )
| ( $false = $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[689]) ).
thf(737,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( $false = $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[689]) ).
thf(739,plain,
! [SV237: $i > $i,SV258: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV258 )
= ( sK1_X @ SV258 ) )
= $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[690]) ).
thf(741,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[692]) ).
thf(742,plain,
! [SV237: $i > $i,SV274: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV274 )
= ( sK2_SY0 @ SV274 ) )
= $true )
| ( $false = $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(744,plain,
! [SV237: $i > $i,SV253: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV253 )
= ( sK1_X @ SV253 ) )
= $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[697]) ).
thf(746,plain,
! [SV237: $i > $i] :
( ( ( ! [SV275: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV275 )
= ( sK2_SY0 @ SV275 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[699]) ).
thf(747,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[699]) ).
thf(759,plain,
! [SV238: $i > $i] :
( ( ( ! [SV280: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV280 )
= ( sK2_SY0 @ SV280 ) ) )
= $true )
| ( $false = $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[714]) ).
thf(760,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( $false = $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[714]) ).
thf(762,plain,
! [SV238: $i > $i,SV260: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
!= sK2_SY0 )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV260 )
= ( sK1_X @ SV260 ) )
= $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[715]) ).
thf(764,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[717]) ).
thf(765,plain,
! [SV238: $i > $i,SV281: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV281 )
= ( sK2_SY0 @ SV281 ) )
= $true )
| ( $false = $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(767,plain,
! [SV238: $i > $i,SV256: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV256 )
= ( sK1_X @ SV256 ) )
= $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[722]) ).
thf(769,plain,
! [SV238: $i > $i] :
( ( ( ! [SV282: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV282 )
= ( sK2_SY0 @ SV282 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[724]) ).
thf(770,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[724]) ).
thf(776,plain,
! [SV237: $i > $i,SV286: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV286 )
= ( sK2_SY0 @ SV286 ) )
= $true )
| ( $false = $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(778,plain,
! [SV237: $i > $i,SV258: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV258 )
= ( sK1_X @ SV258 ) )
= $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[739]) ).
thf(780,plain,
! [SV237: $i > $i] :
( ( ( ! [SV287: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV287 )
= ( sK2_SY0 @ SV287 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[741]) ).
thf(781,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[741]) ).
thf(783,plain,
! [SV237: $i > $i,SV253: $i] :
( ( ( ! [SV288: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV288 )
= ( sK2_SY0 @ SV288 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV253 )
= ( sK1_X @ SV253 ) )
= $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[744]) ).
thf(784,plain,
! [SV237: $i > $i,SV253: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV253 )
= ( sK1_X @ SV253 ) )
= $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[744]) ).
thf(785,plain,
! [SV237: $i > $i,SV289: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV289 )
= ( sK2_SY0 @ SV289 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[746]) ).
thf(791,plain,
! [SV238: $i > $i,SV293: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV293 )
= ( sK2_SY0 @ SV293 ) )
= $true )
| ( $false = $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[759]) ).
thf(793,plain,
! [SV238: $i > $i,SV260: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV260 )
= ( sK1_X @ SV260 ) )
= $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[762]) ).
thf(795,plain,
! [SV238: $i > $i] :
( ( ( ! [SV294: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV294 )
= ( sK2_SY0 @ SV294 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[764]) ).
thf(796,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[764]) ).
thf(798,plain,
! [SV238: $i > $i,SV256: $i] :
( ( ( ! [SV295: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV295 )
= ( sK2_SY0 @ SV295 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV256 )
= ( sK1_X @ SV256 ) )
= $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[767]) ).
thf(799,plain,
! [SV238: $i > $i,SV256: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV256 )
= ( sK1_X @ SV256 ) )
= $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[767]) ).
thf(800,plain,
! [SV238: $i > $i,SV296: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV296 )
= ( sK2_SY0 @ SV296 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[769]) ).
thf(803,plain,
! [SV237: $i > $i,SV258: $i] :
( ( ( ! [SV298: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV298 )
= ( sK2_SY0 @ SV298 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV258 )
= ( sK1_X @ SV258 ) )
= $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[778]) ).
thf(804,plain,
! [SV237: $i > $i,SV258: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV258 )
= ( sK1_X @ SV258 ) )
= $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[778]) ).
thf(805,plain,
! [SV237: $i > $i,SV299: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV299 )
= ( sK2_SY0 @ SV299 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(806,plain,
! [SV237: $i > $i,SV253: $i,SV300: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV300 )
= ( sK2_SY0 @ SV300 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV253 )
= ( sK1_X @ SV253 ) )
= $true )
| ( $false = $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[783]) ).
thf(809,plain,
! [SV238: $i > $i,SV260: $i] :
( ( ( ! [SV302: $i] :
( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV302 )
= ( sK2_SY0 @ SV302 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV260 )
= ( sK1_X @ SV260 ) )
= $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[793]) ).
thf(810,plain,
! [SV238: $i > $i,SV260: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV260 )
= ( sK1_X @ SV260 ) )
= $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[793]) ).
thf(811,plain,
! [SV238: $i > $i,SV303: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV303 )
= ( sK2_SY0 @ SV303 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(812,plain,
! [SV238: $i > $i,SV256: $i,SV304: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV304 )
= ( sK2_SY0 @ SV304 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV256 )
= ( sK1_X @ SV256 ) )
= $true )
| ( $false = $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(813,plain,
! [SV237: $i > $i,SV258: $i,SV305: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV305 )
= ( sK2_SY0 @ SV305 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV258 )
= ( sK1_X @ SV258 ) )
= $true )
| ( $false = $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(814,plain,
! [SV238: $i > $i,SV260: $i,SV306: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV306 )
= ( sK2_SY0 @ SV306 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV260 )
= ( sK1_X @ SV260 ) )
= $true )
| ( $false = $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[809]) ).
thf(830,plain,
! [SV237: $i > $i,SV325: $i] :
( ( ( SV237 = sK2_SY0 )
= $false )
| ( $false = $true )
| ( $false = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV325 )
= ( sK2_SY0 @ SV325 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[695]) ).
thf(831,plain,
! [SV237: $i > $i,SV253: $i,SV326: $i] :
( ( ( SV237 = sK2_SY0 )
= $false )
| ( $false = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV253 )
= ( sK1_X @ SV253 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV326 )
= ( sK2_SY0 @ SV326 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[784]) ).
thf(833,plain,
! [SV237: $i > $i,SV289: $i,SV328: $i] :
( ( ( SV237 = sK2_SY0 )
= $false )
| ( $false = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV328 )
= ( sK1_X @ SV328 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV289 )
= ( sK2_SY0 @ SV289 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[785]) ).
thf(834,plain,
! [SV237: $i > $i,SV329: $i,SV330: $i] :
( ( ( SV237 = sK2_SY0 )
= $false )
| ( $false = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV329 )
= ( sK1_X @ SV329 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV330 )
= ( sK2_SY0 @ SV330 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[747]) ).
thf(850,plain,
! [SV238: $i > $i,SV349: $i] :
( ( ( SV238 = sK2_SY0 )
= $false )
| ( $false = $true )
| ( $false = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV349 )
= ( sK2_SY0 @ SV349 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[720]) ).
thf(851,plain,
! [SV238: $i > $i,SV256: $i,SV350: $i] :
( ( ( SV238 = sK2_SY0 )
= $false )
| ( $false = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV256 )
= ( sK1_X @ SV256 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV350 )
= ( sK2_SY0 @ SV350 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[799]) ).
thf(853,plain,
! [SV238: $i > $i,SV296: $i,SV352: $i] :
( ( ( SV238 = sK2_SY0 )
= $false )
| ( $false = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV352 )
= ( sK1_X @ SV352 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV296 )
= ( sK2_SY0 @ SV296 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[800]) ).
thf(854,plain,
! [SV238: $i > $i,SV353: $i,SV354: $i] :
( ( ( SV238 = sK2_SY0 )
= $false )
| ( $false = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV353 )
= ( sK1_X @ SV353 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV354 )
= ( sK2_SY0 @ SV354 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[770]) ).
thf(855,plain,
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ sK14_E )
= ( sK2_SY0 @ sK14_E ) )
= $false ),
inference(extuni,[status(esa)],[477]) ).
thf(866,plain,
! [SV274: $i] :
( ( $false = $true )
| ( $false = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV274 )
= ( sK2_SY0 @ SV274 ) )
= $true ) ),
inference(extuni,[status(esa)],[742:[bind(SV237,$thf( sK2_SY0 ))]]) ).
thf(867,plain,
! [SV325: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV325 )
= ( sK2_SY0 @ SV325 ) )
= $true )
| ( $false = $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[830:[bind(SV237,$thf( sK2_SY0 ))]]) ).
thf(869,plain,
! [SV300: $i,SV253: $i] :
( ( $false = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV253 )
= ( sK1_X @ SV253 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV300 )
= ( sK2_SY0 @ SV300 ) )
= $true ) ),
inference(extuni,[status(esa)],[806:[bind(SV237,$thf( sK2_SY0 ))]]) ).
thf(870,plain,
! [SV253: $i,SV326: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV326 )
= ( sK2_SY0 @ SV326 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV253 )
= ( sK1_X @ SV253 ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[831:[bind(SV237,$thf( sK2_SY0 ))]]) ).
thf(872,plain,
! [SV328: $i,SV289: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV289 )
= ( sK2_SY0 @ SV289 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV328 )
= ( sK1_X @ SV328 ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[833:[bind(SV237,$thf( sK2_SY0 ))]]) ).
thf(873,plain,
! [SV329: $i,SV330: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV330 )
= ( sK2_SY0 @ SV330 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV329 )
= ( sK1_X @ SV329 ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[834:[bind(SV237,$thf( sK2_SY0 ))]]) ).
thf(884,plain,
! [SV281: $i] :
( ( $false = $true )
| ( $false = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV281 )
= ( sK2_SY0 @ SV281 ) )
= $true ) ),
inference(extuni,[status(esa)],[765:[bind(SV238,$thf( sK2_SY0 ))]]) ).
thf(885,plain,
! [SV349: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV349 )
= ( sK2_SY0 @ SV349 ) )
= $true )
| ( $false = $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[850:[bind(SV238,$thf( sK2_SY0 ))]]) ).
thf(887,plain,
! [SV304: $i,SV256: $i] :
( ( $false = $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV256 )
= ( sK1_X @ SV256 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV304 )
= ( sK2_SY0 @ SV304 ) )
= $true ) ),
inference(extuni,[status(esa)],[812:[bind(SV238,$thf( sK2_SY0 ))]]) ).
thf(888,plain,
! [SV256: $i,SV350: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV350 )
= ( sK2_SY0 @ SV350 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV256 )
= ( sK1_X @ SV256 ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[851:[bind(SV238,$thf( sK2_SY0 ))]]) ).
thf(890,plain,
! [SV352: $i,SV296: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV296 )
= ( sK2_SY0 @ SV296 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV352 )
= ( sK1_X @ SV352 ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[853:[bind(SV238,$thf( sK2_SY0 ))]]) ).
thf(891,plain,
! [SV353: $i,SV354: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV354 )
= ( sK2_SY0 @ SV354 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV353 )
= ( sK1_X @ SV353 ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[854:[bind(SV238,$thf( sK2_SY0 ))]]) ).
thf(892,plain,
! [SV237: $i > $i,SV286: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV286 )
= ( sK2_SY0 @ SV286 ) )
= $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(sim,[status(thm)],[776]) ).
thf(893,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(sim,[status(thm)],[737]) ).
thf(894,plain,
! [SV237: $i > $i,SV258: $i,SV305: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV305 )
= ( sK2_SY0 @ SV305 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV258 )
= ( sK1_X @ SV258 ) )
= $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(sim,[status(thm)],[813]) ).
thf(895,plain,
! [SV237: $i > $i,SV258: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV258 )
= ( sK1_X @ SV258 ) )
= $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(sim,[status(thm)],[804]) ).
thf(896,plain,
! [SV237: $i > $i,SV299: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV299 )
= ( sK2_SY0 @ SV299 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(sim,[status(thm)],[805]) ).
thf(897,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ( SV237 @ ( sK12_SV241 @ SV237 ) )
= ( sK2_SY0 @ ( sK12_SV241 @ SV237 ) ) )
= $false ) ),
inference(sim,[status(thm)],[781]) ).
thf(898,plain,
! [SV237: $i > $i,SV274: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV274 )
= ( sK2_SY0 @ SV274 ) )
= $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[742]) ).
thf(899,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[695]) ).
thf(900,plain,
! [SV237: $i > $i,SV253: $i,SV300: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV300 )
= ( sK2_SY0 @ SV300 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV253 )
= ( sK1_X @ SV253 ) )
= $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[806]) ).
thf(901,plain,
! [SV237: $i > $i,SV253: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV253 )
= ( sK1_X @ SV253 ) )
= $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[784]) ).
thf(902,plain,
! [SV237: $i > $i,SV289: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV289 )
= ( sK2_SY0 @ SV289 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[785]) ).
thf(903,plain,
! [SV237: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( SV237 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[747]) ).
thf(904,plain,
! [SV238: $i > $i,SV293: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV293 )
= ( sK2_SY0 @ SV293 ) )
= $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(sim,[status(thm)],[791]) ).
thf(905,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(sim,[status(thm)],[760]) ).
thf(906,plain,
! [SV238: $i > $i,SV260: $i,SV306: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV306 )
= ( sK2_SY0 @ SV306 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV260 )
= ( sK1_X @ SV260 ) )
= $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(sim,[status(thm)],[814]) ).
thf(907,plain,
! [SV238: $i > $i,SV260: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV260 )
= ( sK1_X @ SV260 ) )
= $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(sim,[status(thm)],[810]) ).
thf(908,plain,
! [SV238: $i > $i,SV303: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV303 )
= ( sK2_SY0 @ SV303 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(sim,[status(thm)],[811]) ).
thf(909,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( ( SV238 @ ( sK13_SV242 @ SV238 ) )
= ( sK2_SY0 @ ( sK13_SV242 @ SV238 ) ) )
= $false ) ),
inference(sim,[status(thm)],[796]) ).
thf(910,plain,
! [SV238: $i > $i,SV281: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV281 )
= ( sK2_SY0 @ SV281 ) )
= $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[765]) ).
thf(911,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[720]) ).
thf(912,plain,
! [SV238: $i > $i,SV256: $i,SV304: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV304 )
= ( sK2_SY0 @ SV304 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV256 )
= ( sK1_X @ SV256 ) )
= $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[812]) ).
thf(913,plain,
! [SV238: $i > $i,SV256: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV256 )
= ( sK1_X @ SV256 ) )
= $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[799]) ).
thf(914,plain,
! [SV238: $i > $i,SV296: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV296 )
= ( sK2_SY0 @ SV296 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[800]) ).
thf(915,plain,
! [SV238: $i > $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK2_SY0 )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) ) )
= sK1_X )
= $true )
| ( ( SV238 = sK2_SY0 )
= $false ) ),
inference(sim,[status(thm)],[770]) ).
thf(916,plain,
! [SV274: $i] :
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV274 )
= ( sK2_SY0 @ SV274 ) )
= $true ),
inference(sim,[status(thm)],[866]) ).
thf(917,plain,
! [SV325: $i] :
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV325 )
= ( sK2_SY0 @ SV325 ) )
= $true ),
inference(sim,[status(thm)],[867]) ).
thf(918,plain,
! [SV300: $i,SV253: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV253 )
= ( sK1_X @ SV253 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV300 )
= ( sK2_SY0 @ SV300 ) )
= $true ) ),
inference(sim,[status(thm)],[869]) ).
thf(919,plain,
! [SV253: $i,SV326: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV326 )
= ( sK2_SY0 @ SV326 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV253 )
= ( sK1_X @ SV253 ) )
= $true ) ),
inference(sim,[status(thm)],[870]) ).
thf(920,plain,
! [SV328: $i,SV289: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV289 )
= ( sK2_SY0 @ SV289 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV328 )
= ( sK1_X @ SV328 ) )
= $true ) ),
inference(sim,[status(thm)],[872]) ).
thf(921,plain,
! [SV329: $i,SV330: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV330 )
= ( sK2_SY0 @ SV330 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV329 )
= ( sK1_X @ SV329 ) )
= $true ) ),
inference(sim,[status(thm)],[873]) ).
thf(922,plain,
! [SV281: $i] :
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV281 )
= ( sK2_SY0 @ SV281 ) )
= $true ),
inference(sim,[status(thm)],[884]) ).
thf(923,plain,
! [SV349: $i] :
( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV349 )
= ( sK2_SY0 @ SV349 ) )
= $true ),
inference(sim,[status(thm)],[885]) ).
thf(924,plain,
! [SV304: $i,SV256: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV256 )
= ( sK1_X @ SV256 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV304 )
= ( sK2_SY0 @ SV304 ) )
= $true ) ),
inference(sim,[status(thm)],[887]) ).
thf(925,plain,
! [SV256: $i,SV350: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV350 )
= ( sK2_SY0 @ SV350 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV256 )
= ( sK1_X @ SV256 ) )
= $true ) ),
inference(sim,[status(thm)],[888]) ).
thf(926,plain,
! [SV352: $i,SV296: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV296 )
= ( sK2_SY0 @ SV296 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV352 )
= ( sK1_X @ SV352 ) )
= $true ) ),
inference(sim,[status(thm)],[890]) ).
thf(927,plain,
! [SV353: $i,SV354: $i] :
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV354 )
= ( sK2_SY0 @ SV354 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( ~ ( ~ $false
| ( SX0 != sK1_X ) )
| ~ ( ~ ~ $false
| ( SX0 != sK2_SY0 ) ) )
@ SV353 )
= ( sK1_X @ SV353 ) )
= $true ) ),
inference(sim,[status(thm)],[891]) ).
thf(928,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[477,927,926,925,924,923,922,921,920,919,918,917,916,915,914,913,912,911,910,909,908,907,906,905,904,903,902,901,900,899,898,897,896,895,894,893,892,855,479]) ).
thf(929,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[928,469]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO541^1 : 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
% 0.08/0.19 % Computer : n001.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % 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 17:48:39 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
% 2.06/0.63
% 2.06/0.63 No.of.Axioms: 1
% 2.06/0.63
% 2.06/0.63 Length.of.Defs: 183
% 2.06/0.63
% 2.06/0.63 Contains.Choice.Funs: true
% 2.06/0.63
% 2.06/0.63 *** Modified list of choice operators: epsii ***
% 2.06/0.63 ..........
% 2.06/0.63
% 2.06/0.63 *** Modified list of choice operators: epsii ***
% 2.06/0.63 ..........
% 2.06/0.63
% 2.06/0.63 ********************************
% 2.06/0.63 * All subproblems solved! *
% 2.06/0.63 ********************************
% 2.06/0.63 % 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:928,loop_count:0,foatp_calls:2,translation:fof_experiment)
% 2.06/0.63
% 2.06/0.63 %**** Beginning of derivation protocol ****
% 2.06/0.63 % SZS output start CNFRefutation
% See solution above
% 2.06/0.63
% 2.06/0.63 %**** End of derivation protocol ****
% 2.06/0.63 %**** no. of clauses in derivation: 403 ****
% 2.06/0.63 %**** clause counter: 928 ****
% 2.06/0.63
% 2.06/0.63 % 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:928,loop_count:0,foatp_calls:2,translation:fof_experiment)
%------------------------------------------------------------------------------