%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : NUM827^5 : TPTP v9.3.1. Bugfixed v5.3.0.
% 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 : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:35:18 AM UTC 2026
% Result : Theorem 241.39s 40.47s
% Output : CNFRefutation 241.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 4
% Syntax : Number of formulae : 1110 ( 93 unt; 0 typ; 3 def)
% Number of atoms : 12065 (8091 equ; 0 cnn)
% Maximal formula atoms : 6 ( 10 avg)
% Number of connectives : 44330 ( 45 ~;2875 |; 11 &;41390 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 2031 (2031 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 29 usr; 7 con; 0-9 aty)
% Number of variables : 8567 (5710 ^;2857 !; 0 ?;8567 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_n,type,
n: $tType ).
thf(tp_c0,type,
c0: n ).
thf(tp_cPA_1,type,
cPA_1: $o ).
thf(tp_cPA_2,type,
cPA_2: $o ).
thf(tp_cPA_IND_EQ,type,
cPA_IND_EQ: $o ).
thf(tp_cS,type,
cS: n > n ).
thf(tp_c_plus,type,
c_plus: n > n > n ).
thf(tp_sK10_E,type,
sK10_E: ( n > n > n > n > n ) > ( n > n > n > n > n ) > n > ( n > n > n ) > n ).
thf(tp_sK11_E,type,
sK11_E: n > ( n > n > n > n > n ) > ( n > n > n > n > n ) > ( n > n > n ) > n ).
thf(tp_sK12_E,type,
sK12_E: n > ( n > n > n ) > ( n > n ) > ( n > n ) > ( n > n > n ) > n ).
thf(tp_sK13_E,type,
sK13_E: n > ( n > n > n ) > ( n > n ) > ( n > n ) > ( n > n > n ) > n ).
thf(tp_sK14_E,type,
sK14_E: n > ( n > n ) > ( n > n > n ) > ( n > n ) > ( n > n > n ) > n ).
thf(tp_sK15_E,type,
sK15_E: n > n > n > ( n > n > n ) > ( n > n > n ) > n ).
thf(tp_sK16_E,type,
sK16_E: n > n > n > ( n > n > n ) > n ).
thf(tp_sK17_E,type,
sK17_E: n > n > n > n ).
thf(tp_sK18_E,type,
sK18_E: n > n > n > n ).
thf(tp_sK19_E,type,
sK19_E: n > n > n > ( n > n > n ) > n ).
thf(tp_sK1_Xx,type,
sK1_Xx: n ).
thf(tp_sK20_E,type,
sK20_E: n > n > n > n ).
thf(tp_sK21_E,type,
sK21_E: n > n > n > ( n > n > n > n > n ) > ( n > n > n > n > n ) > ( n > n > n ) > ( n > n > n ) > ( n > n > n ) > ( n > n > n ) > n ).
thf(tp_sK22_E,type,
sK22_E: ( n > n > n ) > ( n > n > n ) > ( n > n > n > n > n ) > ( n > n > n > n > n ) > n > n > n > ( n > n > n ) > n ).
thf(tp_sK23_E,type,
sK23_E: n > n > n > ( n > n > n > n > n ) > ( n > n > n > n > n ) > ( n > n > n ) > ( n > n > n ) > ( n > n > n ) > n ).
thf(tp_sK2_Xx,type,
sK2_Xx: ( n > n ) > ( n > n ) > n ).
thf(tp_sK3_E,type,
sK3_E: n > ( n > n > n ) > ( n > n > n ) > n ).
thf(tp_sK4_E,type,
sK4_E: n > ( n > n > n ) > n ).
thf(tp_sK5_E,type,
sK5_E: n > n ).
thf(tp_sK6_E,type,
sK6_E: n > n ).
thf(tp_sK7_E,type,
sK7_E: n > ( n > n > n ) > n ).
thf(tp_sK8_E,type,
sK8_E: n > n ).
thf(tp_sK9_E,type,
sK9_E: n > ( n > n > n > n > n ) > ( n > n > n > n > n ) > ( n > n > n ) > ( n > n > n ) > n ).
thf(cPA_1,definition,
( cPA_1
= ( ! [Xx: n] :
( ( c_plus @ Xx @ c0 )
= Xx ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPA_1_def) ).
thf(cPA_2,definition,
( cPA_2
= ( ! [Xx: n,Xy: n] :
( ( c_plus @ Xx @ ( cS @ Xy ) )
= ( cS @ ( c_plus @ Xx @ Xy ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPA_2_def) ).
thf(cPA_IND_EQ,definition,
( cPA_IND_EQ
= ( ! [Xp: n > n,Xq: n > n] :
( ( ( ( Xp @ c0 )
= ( Xq @ c0 ) )
& ! [Xx: n] :
( ( ( Xp @ Xx )
= ( Xq @ Xx ) )
=> ( ( Xp @ ( cS @ Xx ) )
= ( Xq @ ( cS @ Xx ) ) ) ) )
=> ! [Xx: n] :
( ( Xp @ Xx )
= ( Xq @ Xx ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPA_IND_EQ_def) ).
thf(1,conjecture,
( ( cPA_1
& cPA_2
& cPA_IND_EQ )
=> ! [Xx: n] :
( ( c_plus @ Xx @ c0 )
= ( c_plus @ c0 @ Xx ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPA_THM2) ).
thf(2,negated_conjecture,
( ( ( cPA_1
& cPA_2
& cPA_IND_EQ )
=> ! [Xx: n] :
( ( c_plus @ Xx @ c0 )
= ( c_plus @ c0 @ Xx ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ! [Xx: n] :
( ( c_plus @ Xx @ c0 )
= Xx )
& ! [Xx: n,Xy: n] :
( ( c_plus @ Xx @ ( cS @ Xy ) )
= ( cS @ ( c_plus @ Xx @ Xy ) ) )
& ! [Xp: n > n,Xq: n > n] :
( ( ( ( Xp @ c0 )
= ( Xq @ c0 ) )
& ! [Xx: n] :
( ( ( Xp @ Xx )
= ( Xq @ Xx ) )
=> ( ( Xp @ ( cS @ Xx ) )
= ( Xq @ ( cS @ Xx ) ) ) ) )
=> ! [Xx: n] :
( ( Xp @ Xx )
= ( Xq @ Xx ) ) ) )
=> ! [Xx: n] :
( ( c_plus @ Xx @ c0 )
= ( c_plus @ c0 @ Xx ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,cPA_1,cPA_2,cPA_IND_EQ]) ).
thf(4,plain,
( ( ! [Xx: n] :
( ( c_plus @ Xx @ c0 )
= Xx ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xx: n,Xy: n] :
( ( c_plus @ Xx @ ( cS @ Xy ) )
= ( cS @ ( c_plus @ Xx @ Xy ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [Xp: n > n,Xq: n > n] :
( ( ( ( Xp @ c0 )
= ( Xq @ c0 ) )
& ! [Xx: n] :
( ( ( Xp @ Xx )
= ( Xq @ Xx ) )
=> ( ( Xp @ ( cS @ Xx ) )
= ( Xq @ ( cS @ Xx ) ) ) ) )
=> ! [Xx: n] :
( ( Xp @ Xx )
= ( Xq @ Xx ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ! [Xx: n] :
( ( c_plus @ Xx @ c0 )
= ( c_plus @ c0 @ Xx ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( ~ ! [Xx: n] :
( ( c_plus @ Xx @ c0 )
= ( c_plus @ c0 @ Xx ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ( c_plus @ sK1_Xx @ c0 )
!= ( c_plus @ c0 @ sK1_Xx ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [Xp: n > n,Xq: n > n] :
( ( ( ( Xp @ ( sK2_Xx @ Xq @ Xp ) )
= ( Xq @ ( sK2_Xx @ Xq @ Xp ) ) )
& ( ( Xp @ ( cS @ ( sK2_Xx @ Xq @ Xp ) ) )
!= ( Xq @ ( cS @ ( sK2_Xx @ Xq @ Xp ) ) ) ) )
| ( ( Xp @ c0 )
!= ( Xq @ c0 ) )
| ! [Xx: n] :
( ( Xp @ Xx )
= ( Xq @ Xx ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(11,plain,
( ( ! [Xp: n > n,Xq: n > n] :
( ( ( ( Xp @ ( sK2_Xx @ Xq @ Xp ) )
= ( Xq @ ( sK2_Xx @ Xq @ Xp ) ) )
& ( ( Xp @ ( cS @ ( sK2_Xx @ Xq @ Xp ) ) )
!= ( Xq @ ( cS @ ( sK2_Xx @ Xq @ Xp ) ) ) ) )
| ( ( Xp @ c0 )
!= ( Xq @ c0 ) )
| ! [Xx: n] :
( ( Xp @ Xx )
= ( Xq @ Xx ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(12,plain,
( ( ! [Xx: n,Xy: n] :
( ( c_plus @ Xx @ ( cS @ Xy ) )
= ( cS @ ( c_plus @ Xx @ Xy ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(13,plain,
( ( ! [Xx: n] :
( ( c_plus @ Xx @ c0 )
= Xx ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(14,plain,
( ( ( c_plus @ sK1_Xx @ c0 )
!= ( c_plus @ c0 @ sK1_Xx ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(15,plain,
( ( ! [SX0: n > n,SX1: n > n] :
( ~ ( ( ( SX0 @ ( sK2_Xx @ SX1 @ SX0 ) )
!= ( SX1 @ ( sK2_Xx @ SX1 @ SX0 ) ) )
| ~ ( ( ( SX0 @ ( cS @ ( sK2_Xx @ SX1 @ SX0 ) ) )
!= ( SX1 @ ( cS @ ( sK2_Xx @ SX1 @ SX0 ) ) ) ) ) )
| ( ( SX0 @ c0 )
!= ( SX1 @ c0 ) )
| ! [SX2: n] :
( ( SX0 @ SX2 )
= ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11,cPA_1,cPA_2,cPA_IND_EQ]) ).
thf(16,plain,
! [SV1: n] :
( ( ! [SY9: n] :
( ( c_plus @ SV1 @ ( cS @ SY9 ) )
= ( cS @ ( c_plus @ SV1 @ SY9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(17,plain,
! [SV2: n] :
( ( ( c_plus @ SV2 @ c0 )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(18,plain,
( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(19,plain,
! [SV3: n > n] :
( ( ! [SY10: n > n] :
( ~ ( ( ( SV3 @ ( sK2_Xx @ SY10 @ SV3 ) )
!= ( SY10 @ ( sK2_Xx @ SY10 @ SV3 ) ) )
| ~ ( ( ( SV3 @ ( cS @ ( sK2_Xx @ SY10 @ SV3 ) ) )
!= ( SY10 @ ( cS @ ( sK2_Xx @ SY10 @ SV3 ) ) ) ) ) )
| ( ( SV3 @ c0 )
!= ( SY10 @ c0 ) )
| ! [SY11: n] :
( ( SV3 @ SY11 )
= ( SY10 @ SY11 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(20,plain,
! [SV4: n,SV1: n] :
( ( ( c_plus @ SV1 @ ( cS @ SV4 ) )
= ( cS @ ( c_plus @ SV1 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(21,plain,
! [SV5: n > n,SV3: n > n] :
( ( ~ ( ( ( SV3 @ ( sK2_Xx @ SV5 @ SV3 ) )
!= ( SV5 @ ( sK2_Xx @ SV5 @ SV3 ) ) )
| ~ ( ( ( SV3 @ ( cS @ ( sK2_Xx @ SV5 @ SV3 ) ) )
!= ( SV5 @ ( cS @ ( sK2_Xx @ SV5 @ SV3 ) ) ) ) ) )
| ( ( SV3 @ c0 )
!= ( SV5 @ c0 ) )
| ! [SY12: n] :
( ( SV3 @ SY12 )
= ( SV5 @ SY12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(22,plain,
! [SV5: n > n,SV3: n > n] :
( ( ( ~ ( ( ( SV3 @ ( sK2_Xx @ SV5 @ SV3 ) )
!= ( SV5 @ ( sK2_Xx @ SV5 @ SV3 ) ) )
| ~ ( ( ( SV3 @ ( cS @ ( sK2_Xx @ SV5 @ SV3 ) ) )
!= ( SV5 @ ( cS @ ( sK2_Xx @ SV5 @ SV3 ) ) ) ) ) )
| ( ( SV3 @ c0 )
!= ( SV5 @ c0 ) ) )
= $true )
| ( ( ! [SY12: n] :
( ( SV3 @ SY12 )
= ( SV5 @ SY12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(23,plain,
! [SV5: n > n,SV3: n > n] :
( ( ( ~ ( ( ( SV3 @ ( sK2_Xx @ SV5 @ SV3 ) )
!= ( SV5 @ ( sK2_Xx @ SV5 @ SV3 ) ) )
| ~ ( ( ( SV3 @ ( cS @ ( sK2_Xx @ SV5 @ SV3 ) ) )
!= ( SV5 @ ( cS @ ( sK2_Xx @ SV5 @ SV3 ) ) ) ) ) ) )
= $true )
| ( ( ( SV3 @ c0 )
!= ( SV5 @ c0 ) )
= $true )
| ( ( ! [SY12: n] :
( ( SV3 @ SY12 )
= ( SV5 @ SY12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(24,plain,
! [SV5: n > n,SV3: n > n] :
( ( ( ( ( SV3 @ ( sK2_Xx @ SV5 @ SV3 ) )
!= ( SV5 @ ( sK2_Xx @ SV5 @ SV3 ) ) )
| ~ ( ( ( SV3 @ ( cS @ ( sK2_Xx @ SV5 @ SV3 ) ) )
!= ( SV5 @ ( cS @ ( sK2_Xx @ SV5 @ SV3 ) ) ) ) ) )
= $false )
| ( ( ( SV3 @ c0 )
!= ( SV5 @ c0 ) )
= $true )
| ( ( ! [SY12: n] :
( ( SV3 @ SY12 )
= ( SV5 @ SY12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(25,plain,
! [SV5: n > n,SV3: n > n] :
( ( ( ( SV3 @ ( sK2_Xx @ SV5 @ SV3 ) )
!= ( SV5 @ ( sK2_Xx @ SV5 @ SV3 ) ) )
= $false )
| ( ( ( SV3 @ c0 )
!= ( SV5 @ c0 ) )
= $true )
| ( ( ! [SY12: n] :
( ( SV3 @ SY12 )
= ( SV5 @ SY12 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(26,plain,
! [SV5: n > n,SV3: n > n] :
( ( ( ~ ( ( ( SV3 @ ( cS @ ( sK2_Xx @ SV5 @ SV3 ) ) )
!= ( SV5 @ ( cS @ ( sK2_Xx @ SV5 @ SV3 ) ) ) ) ) )
= $false )
| ( ( ( SV3 @ c0 )
!= ( SV5 @ c0 ) )
= $true )
| ( ( ! [SY12: n] :
( ( SV3 @ SY12 )
= ( SV5 @ SY12 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(27,plain,
! [SV5: n > n,SV3: n > n] :
( ( ( ( SV3 @ ( sK2_Xx @ SV5 @ SV3 ) )
= ( SV5 @ ( sK2_Xx @ SV5 @ SV3 ) ) )
= $true )
| ( ( ( SV3 @ c0 )
!= ( SV5 @ c0 ) )
= $true )
| ( ( ! [SY12: n] :
( ( SV3 @ SY12 )
= ( SV5 @ SY12 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(28,plain,
! [SV5: n > n,SV3: n > n] :
( ( ( ( SV3 @ ( cS @ ( sK2_Xx @ SV5 @ SV3 ) ) )
!= ( SV5 @ ( cS @ ( sK2_Xx @ SV5 @ SV3 ) ) ) )
= $true )
| ( ( ( SV3 @ c0 )
!= ( SV5 @ c0 ) )
= $true )
| ( ( ! [SY12: n] :
( ( SV3 @ SY12 )
= ( SV5 @ SY12 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(29,plain,
! [SV5: n > n,SV3: n > n] :
( ( ( ( SV3 @ c0 )
= ( SV5 @ c0 ) )
= $false )
| ( ( ( SV3 @ ( sK2_Xx @ SV5 @ SV3 ) )
= ( SV5 @ ( sK2_Xx @ SV5 @ SV3 ) ) )
= $true )
| ( ( ! [SY12: n] :
( ( SV3 @ SY12 )
= ( SV5 @ SY12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(30,plain,
! [SV5: n > n,SV3: n > n] :
( ( ( ( SV3 @ ( cS @ ( sK2_Xx @ SV5 @ SV3 ) ) )
= ( SV5 @ ( cS @ ( sK2_Xx @ SV5 @ SV3 ) ) ) )
= $false )
| ( ( ( SV3 @ c0 )
!= ( SV5 @ c0 ) )
= $true )
| ( ( ! [SY12: n] :
( ( SV3 @ SY12 )
= ( SV5 @ SY12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(31,plain,
! [SV5: n > n,SV6: n,SV3: n > n] :
( ( ( ( SV3 @ SV6 )
= ( SV5 @ SV6 ) )
= $true )
| ( ( ( SV3 @ ( sK2_Xx @ SV5 @ SV3 ) )
= ( SV5 @ ( sK2_Xx @ SV5 @ SV3 ) ) )
= $true )
| ( ( ( SV3 @ c0 )
= ( SV5 @ c0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(32,plain,
! [SV5: n > n,SV3: n > n] :
( ( ( ( SV3 @ c0 )
= ( SV5 @ c0 ) )
= $false )
| ( ( ( SV3 @ ( cS @ ( sK2_Xx @ SV5 @ SV3 ) ) )
= ( SV5 @ ( cS @ ( sK2_Xx @ SV5 @ SV3 ) ) ) )
= $false )
| ( ( ! [SY12: n] :
( ( SV3 @ SY12 )
= ( SV5 @ SY12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(33,plain,
! [SV5: n > n,SV7: n,SV3: n > n] :
( ( ( ( SV3 @ SV7 )
= ( SV5 @ SV7 ) )
= $true )
| ( ( ( SV3 @ ( cS @ ( sK2_Xx @ SV5 @ SV3 ) ) )
= ( SV5 @ ( cS @ ( sK2_Xx @ SV5 @ SV3 ) ) ) )
= $false )
| ( ( ( SV3 @ c0 )
= ( SV5 @ c0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(34,plain,
( ( ( c0 = sK1_Xx )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[18]) ).
thf(35,plain,
! [SV8: n] :
( ( ( c_plus @ SV8 @ c0 )
= SV8 )
= $true ),
inference(rename,[status(thm)],[17]) ).
thf(36,plain,
! [SV8: n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= ( ( c_plus @ SV8 @ c0 )
= SV8 ) )
= $false ),
inference(res,[status(thm)],[18,35]) ).
thf(37,plain,
( ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[36:[bind(SV8,$thf( c0 ))]]) ).
thf(38,plain,
( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[36:[bind(SV8,$thf( c_plus @ sK1_Xx @ c0 ))]]) ).
thf(39,plain,
( ( ( c_plus @ c0 @ sK1_Xx )
= sK1_Xx )
= $false ),
inference(extuni,[status(esa)],[36:[bind(SV8,$thf( sK1_Xx ))]]) ).
thf(40,plain,
( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[36:[bind(SV8,$thf( c_plus @ c0 @ sK1_Xx ))]]) ).
thf(41,plain,
( ( ( c0 = sK1_Xx )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[18]) ).
thf(42,plain,
! [SV9: n,SV10: n] :
( ( ( c_plus @ SV10 @ ( cS @ SV9 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $true ),
inference(rename,[status(thm)],[20]) ).
thf(43,plain,
! [SV9: n,SV10: n] :
( ( ( ( c_plus @ SV10 @ ( cS @ SV9 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ c0 @ sK1_Xx ) ) )
= $false ),
inference(res,[status(thm)],[42,18]) ).
thf(44,plain,
! [SV9: n] :
( ( ( ( cS @ SV9 )
= sK1_Xx )
= $false )
| ( ( ( cS @ ( c_plus @ c0 @ SV9 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[43:[bind(SV10,$thf( c0 ))]]) ).
thf(45,plain,
! [SV9: n,SV10: n] :
( ( ( ( c_plus @ SV10 @ ( cS @ SV9 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( cS @ ( c_plus @ SV10 @ SV9 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[43]) ).
thf(46,plain,
! [SV9: n] :
( ( ( ( cS @ ( c_plus @ sK1_Xx @ SV9 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( cS @ SV9 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[43:[bind(SV10,$thf( sK1_Xx ))]]) ).
thf(47,plain,
! [SV9: n,SV10: n] :
( ( ( ( cS @ ( c_plus @ SV10 @ SV9 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ SV10 @ ( cS @ SV9 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[43]) ).
thf(48,plain,
! [SV9: n,SV10: n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= ( ( c_plus @ SV10 @ ( cS @ SV9 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) ) )
= $false ),
inference(res,[status(thm)],[38,42]) ).
thf(49,plain,
! [SV8: n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= ( ( c_plus @ SV8 @ c0 )
= SV8 ) )
= $false ),
inference(res,[status(thm)],[38,35]) ).
thf(50,plain,
( ( ( sK1_Xx = c0 )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV8,$thf( c_plus @ sK1_Xx @ c0 ))]]) ).
thf(51,plain,
( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[49:[bind(SV8,$thf( c_plus @ sK1_Xx @ c0 ))]]) ).
thf(52,plain,
( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[49:[bind(SV8,$thf( c_plus @ c0 @ sK1_Xx ))]]) ).
thf(53,plain,
( ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= c0 )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV8,$thf( c0 ))]]) ).
thf(54,plain,
( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[49:[bind(SV8,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ))]]) ).
thf(55,plain,
! [SV9: n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( cS @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ SV9 ) ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[48:[bind(SV10,$thf( c_plus @ sK1_Xx @ c0 ))]]) ).
thf(56,plain,
! [SV9: n,SV10: n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[48]) ).
thf(57,plain,
! [SV9: n] :
( ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( cS @ ( c_plus @ c0 @ SV9 ) ) )
= $false )
| ( ( sK1_Xx
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[48:[bind(SV10,$thf( c0 ))]]) ).
thf(58,plain,
! [SV9: n,SV10: n] :
( ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[48]) ).
thf(59,plain,
( ( ( sK1_Xx = c0 )
= $false )
| ( ( c0
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[38]) ).
thf(60,plain,
! [SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(rename,[status(thm)],[31]) ).
thf(61,plain,
! [SV11: n > n,SV12: n,SV13: n > n,SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= ( ( SV13 @ c0 )
= ( SV11 @ c0 ) ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true ) ),
inference(res,[status(thm)],[60,60]) ).
thf(62,plain,
! [SV11: n > n,SV12: n,SV13: n > n,SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= ( ( SV13 @ c0 )
= ( SV11 @ c0 ) ) )
= $false )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true ) ),
inference(res,[status(thm)],[60,60]) ).
thf(63,plain,
! [SV11: n > n,SV12: n,SV13: n > n,SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[60,60]) ).
thf(64,plain,
! [SV11: n > n,SV12: n,SV13: n > n,SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[60,60]) ).
thf(65,plain,
! [SV11: n > n,SV12: n,SV13: n > n,SV9: n,SV10: n] :
( ( ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= ( ( c_plus @ SV10 @ ( cS @ SV9 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true ) ),
inference(res,[status(thm)],[60,42]) ).
thf(66,plain,
! [SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[60,38]) ).
thf(67,plain,
! [SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) )
= $false )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[60,38]) ).
thf(68,plain,
! [SV11: n > n,SV12: n,SV13: n > n,SV8: n] :
( ( ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= ( ( c_plus @ SV8 @ c0 )
= SV8 ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true ) ),
inference(res,[status(thm)],[60,35]) ).
thf(69,plain,
! [SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ c0 @ sK1_Xx ) ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[60,18]) ).
thf(70,plain,
! [SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ c0 @ sK1_Xx ) ) )
= $false )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[60,18]) ).
thf(71,plain,
! [SV85: n > n,SV84: n > n] :
( ( ( ( c_plus @ ( SV84 @ c0 ) @ ( SV85 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV84
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV84 @ SX0 ) @ ( SV85 @ SX0 ) ) ) )
@ ( SV85
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV84 @ SX0 ) @ ( SV85 @ SX0 ) ) ) ) )
= ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV84 @ SX0 ) @ ( SV85 @ SX0 ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV84 @ SX0 ) @ ( SV85 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV84 @ sK1_Xx ) @ ( SV85 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV84 @ SX0 ) @ ( SV85 @ SX0 ) ) )),bind(SV12,$thf( sK1_Xx )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(72,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
= $true )
| ( ( sK1_Xx
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV12,$thf( sK1_Xx )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(73,plain,
! [SV69: n > n,SV68: n > n] :
( ( ( ( c_plus @ ( SV68 @ c0 ) @ ( SV69 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV68
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) ) )
@ ( SV69
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) ) ) )
= ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) )
@ c0 ) )
= $true )
| ( ( ( c_plus @ ( SV68 @ sK1_Xx ) @ ( SV69 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) )),bind(SV12,$thf( sK1_Xx )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(74,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 )
@ c0 ) )
= $true )
| ( ( sK1_Xx
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV12,$thf( sK1_Xx )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(75,plain,
! [SV51: n > n,SV50: n > n] :
( ( ( ( c_plus @ ( SV50 @ c0 ) @ ( SV51 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV50
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV50 @ SX0 ) @ ( SV51 @ SX0 ) ) ) )
@ ( SV51
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV50 @ SX0 ) @ ( SV51 @ SX0 ) ) ) ) )
= ( c_plus @ sK1_Xx
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV50 @ SX0 ) @ ( SV51 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV50 @ c0 ) @ ( SV51 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV50 @ SX0 ) @ ( SV51 @ SX0 ) ) )),bind(SV12,$thf( c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(76,plain,
( ( ( c0
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ sK1_Xx
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
= $true )
| ( ( c0
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV12,$thf( c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(77,plain,
! [SV12: n,SV35: n > n,SV34: n > n] :
( ( ( ( c_plus @ ( SV34 @ c0 ) @ ( SV35 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV34
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV34 @ SX0 ) @ ( SV35 @ SX0 ) ) ) )
@ ( SV35
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV34 @ SX0 ) @ ( SV35 @ SX0 ) ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $true )
| ( ( ( c_plus @ ( SV34 @ SV12 ) @ ( SV35 @ SV12 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV34 @ SX0 ) @ ( SV35 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(78,plain,
( ( ( c0
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ sK1_Xx @ c0 ) )
= $true ) ),
inference(extuni,[status(esa)],[70:[bind(SV12,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(79,plain,
! [SV16: n > n,SV17: n > n] :
( ( ( c0
= ( SV17 @ c0 ) )
= $false )
| ( ( c0
= ( SV16 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( c_plus
@ ( SV16
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( SV17
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $true )
| ( ( c0 = sK1_Xx )
= $false )
| ( ( ( c_plus @ ( SV16 @ c0 ) @ ( SV17 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV12,$thf( c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) ) ))]]) ).
thf(80,plain,
! [SV17: n > n,SV16: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV16 @ c0 ) @ ( SV17 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( c_plus
@ ( SV16
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( SV17
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $true )
| ( ( c0 = sK1_Xx )
= $false )
| ( ( ( c_plus @ ( SV16 @ c0 ) @ ( SV17 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV12,$thf( c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) ) ))]]) ).
thf(81,plain,
! [SV16: n > n,SV17: n > n] :
( ( ( sK1_Xx
= ( SV17 @ c0 ) )
= $false )
| ( ( c0
= ( SV16 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )
@ sK1_Xx )
= ( c_plus
@ ( SV16
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
@ ( SV17
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV16 @ c0 ) @ ( SV17 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV12,$thf( c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) ) ))]]) ).
thf(82,plain,
! [SV17: n > n,SV16: n > n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV16 @ c0 ) @ ( SV17 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )
@ sK1_Xx )
= ( c_plus
@ ( SV16
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
@ ( SV17
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV16 @ c0 ) @ ( SV17 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV12,$thf( c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) ) ))]]) ).
thf(83,plain,
! [SV16: n > n,SV17: n > n] :
( ( ( c0
= ( SV17 @ c0 ) )
= $false )
| ( ( c0
= ( SV16 @ c0 ) )
= $false )
| ( ( ( c_plus @ c0
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
= ( c_plus
@ ( SV16
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
@ ( SV17
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV16 @ sK1_Xx ) @ ( SV17 @ sK1_Xx ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV12,$thf( sK1_Xx )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) ) ))]]) ).
thf(84,plain,
! [SV17: n > n,SV16: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV16 @ c0 ) @ ( SV17 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ c0
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
= ( c_plus
@ ( SV16
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
@ ( SV17
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV16 @ sK1_Xx ) @ ( SV17 @ sK1_Xx ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV12,$thf( sK1_Xx )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) ) ))]]) ).
thf(85,plain,
! [SV12: n,SV16: n > n,SV17: n > n] :
( ( ( sK1_Xx
= ( SV17 @ c0 ) )
= $false )
| ( ( c0
= ( SV16 @ c0 ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus
@ ( SV16
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) )
@ ( SV17
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV16 @ SV12 ) @ ( SV17 @ SV12 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) ) ))]]) ).
thf(86,plain,
! [SV12: n,SV17: n > n,SV16: n > n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV16 @ c0 ) @ ( SV17 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus
@ ( SV16
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) )
@ ( SV17
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV16 @ SV12 ) @ ( SV17 @ SV12 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) ) ))]]) ).
thf(87,plain,
! [SV12: n,SV16: n > n,SV100: n > n,SV17: n > n,SV101: n > n] :
( ( ( ( c_plus
@ ( SV100
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV100 @ SX0 ) @ ( SV101 @ SX0 ) ) ) )
@ ( SV101
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV100 @ SX0 ) @ ( SV101 @ SX0 ) ) ) ) )
= ( c_plus
@ ( SV16
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV100 @ SX0 ) @ ( SV101 @ SX0 ) ) ) )
@ ( SV17
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV100 @ SX0 ) @ ( SV101 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV100 @ SV12 ) @ ( SV101 @ SV12 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV16 @ SV12 ) @ ( SV17 @ SV12 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( SV101 @ c0 )
= ( SV17 @ c0 ) )
= $false )
| ( ( ( SV100 @ c0 )
= ( SV16 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV100 @ SX0 ) @ ( SV101 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) ) ))]]) ).
thf(88,plain,
! [SV12: n,SV17: n > n,SV16: n > n,SV101: n > n,SV100: n > n] :
( ( ( ( c_plus @ ( SV100 @ c0 ) @ ( SV101 @ c0 ) )
= ( c_plus @ ( SV16 @ c0 ) @ ( SV17 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( SV100
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV100 @ SX0 ) @ ( SV101 @ SX0 ) ) ) )
@ ( SV101
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV100 @ SX0 ) @ ( SV101 @ SX0 ) ) ) ) )
= ( c_plus
@ ( SV16
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV100 @ SX0 ) @ ( SV101 @ SX0 ) ) ) )
@ ( SV17
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV100 @ SX0 ) @ ( SV101 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV100 @ SV12 ) @ ( SV101 @ SV12 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV16 @ SV12 ) @ ( SV17 @ SV12 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV100 @ SX0 ) @ ( SV101 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) ) ))]]) ).
thf(89,plain,
! [SV17: n > n,SV16: n > n] :
( ( ( c0
= ( c_plus @ ( SV16 @ c0 ) @ ( SV17 @ c0 ) ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( SV16
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
@ ( SV17
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV16 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV17 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV12,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) ) ))]]) ).
thf(90,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= $true )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= sK1_Xx )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV12,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(91,plain,
( ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )
@ sK1_Xx )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
= $true )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )),bind(SV12,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(92,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ c0
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
= $true )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )),bind(SV12,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(93,plain,
( ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) )
= $true ) ),
inference(extuni,[status(esa)],[70:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) )),bind(SV12,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(94,plain,
! [SV21: n > n,SV20: n > n] :
( ( ( ( c_plus @ ( SV20 @ c0 ) @ ( SV21 @ c0 ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV20
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV20 @ SX0 ) @ ( SV21 @ SX0 ) ) ) )
@ ( SV21
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV20 @ SX0 ) @ ( SV21 @ SX0 ) ) ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV20 @ SX0 ) @ ( SV21 @ SX0 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV20 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV21 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV20 @ SX0 ) @ ( SV21 @ SX0 ) ) )),bind(SV12,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(97,plain,
! [SV160: n > n,SV161: n > n] :
( ( ( c0
= ( SV161 @ c0 ) )
= $false )
| ( ( c0
= ( SV160 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV160 @ SX0 ) @ ( SV161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV160 @ SX0 ) @ ( SV161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( c_plus
@ ( SV160
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV160 @ SX0 ) @ ( SV161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( SV161
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV160 @ SX0 ) @ ( SV161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV160 @ sK1_Xx ) @ ( SV161 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV160 @ SX0 ) @ ( SV161 @ SX0 ) ) )),bind(SV12,$thf( sK1_Xx )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(98,plain,
! [SV161: n > n,SV160: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV160 @ c0 ) @ ( SV161 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV160 @ SX0 ) @ ( SV161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV160 @ SX0 ) @ ( SV161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( c_plus
@ ( SV160
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV160 @ SX0 ) @ ( SV161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( SV161
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV160 @ SX0 ) @ ( SV161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV160 @ sK1_Xx ) @ ( SV161 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV160 @ SX0 ) @ ( SV161 @ SX0 ) ) )),bind(SV12,$thf( sK1_Xx )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(99,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= $true )
| ( ( sK1_Xx
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV12,$thf( sK1_Xx )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(100,plain,
! [SV150: n > n,SV151: n > n] :
( ( ( c0
= ( SV151 @ c0 ) )
= $false )
| ( ( c0
= ( SV150 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV150 @ SX0 ) @ ( SV151 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )
@ c0 )
= ( c_plus
@ ( SV150
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV150 @ SX0 ) @ ( SV151 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ ( SV151
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV150 @ SX0 ) @ ( SV151 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV150 @ sK1_Xx ) @ ( SV151 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV150 @ SX0 ) @ ( SV151 @ SX0 ) ) )),bind(SV12,$thf( sK1_Xx )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(101,plain,
! [SV151: n > n,SV150: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV150 @ c0 ) @ ( SV151 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV150 @ SX0 ) @ ( SV151 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )
@ c0 )
= ( c_plus
@ ( SV150
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV150 @ SX0 ) @ ( SV151 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ ( SV151
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV150 @ SX0 ) @ ( SV151 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV150 @ sK1_Xx ) @ ( SV151 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV150 @ SX0 ) @ ( SV151 @ SX0 ) ) )),bind(SV12,$thf( sK1_Xx )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(102,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )
@ c0 )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
= $true )
| ( ( sK1_Xx
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV12,$thf( sK1_Xx )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(103,plain,
! [SV138: n > n,SV139: n > n] :
( ( ( c0
= ( SV139 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV138 @ c0 ) )
= $false )
| ( ( ( c_plus @ sK1_Xx
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV138 @ SX0 ) @ ( SV139 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) )
= ( c_plus
@ ( SV138
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV138 @ SX0 ) @ ( SV139 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) )
@ ( SV139
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV138 @ SX0 ) @ ( SV139 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV138 @ c0 ) @ ( SV139 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV138 @ SX0 ) @ ( SV139 @ SX0 ) ) )),bind(SV12,$thf( c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(104,plain,
! [SV139: n > n,SV138: n > n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( SV138 @ c0 ) @ ( SV139 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV138 @ SX0 ) @ ( SV139 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) )
= ( c_plus
@ ( SV138
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV138 @ SX0 ) @ ( SV139 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) )
@ ( SV139
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV138 @ SX0 ) @ ( SV139 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV138 @ c0 ) @ ( SV139 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV138 @ SX0 ) @ ( SV139 @ SX0 ) ) )),bind(SV12,$thf( c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(105,plain,
( ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ sK1_Xx
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) )
= $true )
| ( ( c0
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV12,$thf( c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(106,plain,
! [SV12: n,SV128: n > n,SV129: n > n] :
( ( ( c0
= ( SV129 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV128 @ c0 ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus
@ ( SV128
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV128 @ SX0 ) @ ( SV129 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) )
@ ( SV129
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV128 @ SX0 ) @ ( SV129 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV128 @ SV12 ) @ ( SV129 @ SV12 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV128 @ SX0 ) @ ( SV129 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(107,plain,
! [SV12: n,SV129: n > n,SV128: n > n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( SV128 @ c0 ) @ ( SV129 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus
@ ( SV128
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV128 @ SX0 ) @ ( SV129 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) )
@ ( SV129
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV128 @ SX0 ) @ ( SV129 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV128 @ SV12 ) @ ( SV129 @ SV12 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV128 @ SX0 ) @ ( SV129 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(108,plain,
( ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[70:[bind(SV12,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(109,plain,
! [SV111: n > n,SV110: n > n] :
( ( ( ( c_plus @ ( SV110 @ c0 ) @ ( SV111 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV110
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ) )
@ ( SV111
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ) ) )
= ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ) ) )
= $true )
| ( ( c0 = sK1_Xx )
= $false )
| ( ( ( c_plus @ ( SV110 @ c0 ) @ ( SV111 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV12,$thf( c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ))]]) ).
thf(110,plain,
! [SV111: n > n,SV110: n > n] :
( ( ( ( c_plus @ ( SV110 @ c0 ) @ ( SV111 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus
@ ( SV110
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ) )
@ ( SV111
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ) ) )
= ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) )
@ sK1_Xx ) )
= $true )
| ( ( ( c_plus @ ( SV110 @ c0 ) @ ( SV111 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV12,$thf( c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ))]]) ).
thf(111,plain,
! [SV111: n > n,SV110: n > n] :
( ( ( ( c_plus @ ( SV110 @ c0 ) @ ( SV111 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV110
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ) )
@ ( SV111
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ) ) )
= ( c_plus @ c0
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV110 @ sK1_Xx ) @ ( SV111 @ sK1_Xx ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV12,$thf( sK1_Xx )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ))]]) ).
thf(112,plain,
! [SV12: n,SV111: n > n,SV110: n > n] :
( ( ( ( c_plus @ ( SV110 @ c0 ) @ ( SV111 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus
@ ( SV110
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ) )
@ ( SV111
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $true )
| ( ( ( c_plus @ ( SV110 @ SV12 ) @ ( SV111 @ SV12 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ))]]) ).
thf(113,plain,
! [SV12: n,SV170: n > n,SV110: n > n,SV171: n > n,SV111: n > n] :
( ( ( ( c_plus
@ ( SV110
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV170 @ SX0 ) @ ( SV171 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ) )
@ ( SV111
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV170 @ SX0 ) @ ( SV171 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ) ) )
= ( c_plus
@ ( SV170
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV170 @ SX0 ) @ ( SV171 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ) )
@ ( SV171
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV170 @ SX0 ) @ ( SV171 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV170 @ SV12 ) @ ( SV171 @ SV12 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV110 @ SV12 ) @ ( SV111 @ SV12 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( SV111 @ c0 )
= ( SV171 @ c0 ) )
= $false )
| ( ( ( SV110 @ c0 )
= ( SV170 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV170 @ SX0 ) @ ( SV171 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ))]]) ).
thf(114,plain,
! [SV12: n,SV171: n > n,SV170: n > n,SV111: n > n,SV110: n > n] :
( ( ( ( c_plus @ ( SV110 @ c0 ) @ ( SV111 @ c0 ) )
= ( c_plus @ ( SV170 @ c0 ) @ ( SV171 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( SV110
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV170 @ SX0 ) @ ( SV171 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ) )
@ ( SV111
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV170 @ SX0 ) @ ( SV171 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ) ) )
= ( c_plus
@ ( SV170
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV170 @ SX0 ) @ ( SV171 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ) )
@ ( SV171
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV170 @ SX0 ) @ ( SV171 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV170 @ SV12 ) @ ( SV171 @ SV12 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV110 @ SV12 ) @ ( SV111 @ SV12 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV170 @ SX0 ) @ ( SV171 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ))]]) ).
thf(115,plain,
! [SV111: n > n,SV110: n > n] :
( ( ( ( c_plus @ ( SV110 @ c0 ) @ ( SV111 @ c0 ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV110
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ) )
@ ( SV111
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV110 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV111 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV12,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) ))]]) ).
thf(116,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
= $true )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= sK1_Xx )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV12,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(117,plain,
( ( ( c0
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 )
@ sK1_Xx ) )
= $true )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )),bind(SV12,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(118,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ c0
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
= $true )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )),bind(SV12,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(119,plain,
( ( ( c0
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $true ) ),
inference(extuni,[status(esa)],[70:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) )),bind(SV12,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(120,plain,
! [SV115: n > n,SV114: n > n] :
( ( ( c0
= ( c_plus @ ( SV114 @ c0 ) @ ( SV115 @ c0 ) ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV114 @ SX0 ) @ ( SV115 @ SX0 ) )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( SV114
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV114 @ SX0 ) @ ( SV115 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
@ ( SV115
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV114 @ SX0 ) @ ( SV115 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV114 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV115 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[70:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV114 @ SX0 ) @ ( SV115 @ SX0 ) ) )),bind(SV12,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(123,plain,
! [SV12: n,SV273: n > n,SV272: n > n] :
( ( ( ( c_plus @ ( SV272 @ c0 ) @ ( SV273 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV272 @ SV12 ) @ ( SV273 @ SV12 ) )
= ( c_plus @ SV12 @ SV12 ) )
= $true )
| ( ( ( c_plus
@ ( SV272
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV272 @ SX0 ) @ ( SV273 @ SX0 ) ) ) )
@ ( SV273
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV272 @ SX0 ) @ ( SV273 @ SX0 ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV272 @ SX0 ) @ ( SV273 @ SX0 ) ) )
= c0 )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV272 @ SX0 ) @ ( SV273 @ SX0 ) ) )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV272 @ SX0 ) @ ( SV273 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(124,plain,
! [SV12: n] :
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( SV12
= ( c_plus @ SV12 @ SV12 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= c0 )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(125,plain,
! [SV12: n,SV257: n > n,SV256: n > n] :
( ( ( ( c_plus @ ( SV256 @ c0 ) @ ( SV257 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV256 @ SV12 ) @ ( SV257 @ SV12 ) )
= ( c_plus @ SV12 @ c0 ) )
= $true )
| ( ( ( c_plus
@ ( SV256
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV256 @ SX0 ) @ ( SV257 @ SX0 ) ) ) )
@ ( SV257
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV256 @ SX0 ) @ ( SV257 @ SX0 ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV256 @ SX0 ) @ ( SV257 @ SX0 ) ) )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV256 @ SX0 ) @ ( SV257 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(126,plain,
! [SV12: n] :
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( SV12
= ( c_plus @ SV12 @ c0 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(127,plain,
! [SV12: n,SV239: n > n,SV238: n > n] :
( ( ( ( c_plus @ ( SV238 @ c0 ) @ ( SV239 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV238 @ SV12 ) @ ( SV239 @ SV12 ) )
= ( c_plus @ sK1_Xx @ SV12 ) )
= $true )
| ( ( ( c_plus
@ ( SV238
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV238 @ SX0 ) @ ( SV239 @ SX0 ) ) ) )
@ ( SV239
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV238 @ SX0 ) @ ( SV239 @ SX0 ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV238 @ SX0 ) @ ( SV239 @ SX0 ) ) )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV238 @ SX0 ) @ ( SV239 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(128,plain,
! [SV12: n] :
( ( ( c0
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( SV12
= ( c_plus @ sK1_Xx @ SV12 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : SX0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(129,plain,
! [SV12: n,SV223: n > n,SV222: n > n] :
( ( ( ( c_plus @ ( SV222 @ c0 ) @ ( SV223 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV222 @ SV12 ) @ ( SV223 @ SV12 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $true )
| ( ( ( c_plus
@ ( SV222
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV222 @ SX0 ) @ ( SV223 @ SX0 ) ) ) )
@ ( SV223
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV222 @ SX0 ) @ ( SV223 @ SX0 ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV222 @ SX0 ) @ ( SV223 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(130,plain,
! [SV12: n] :
( ( ( c0
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( SV12
= ( c_plus @ sK1_Xx @ c0 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(131,plain,
! [SV12: n,SV204: n > n,SV205: n > n] :
( ( ( c0
= ( SV205 @ c0 ) )
= $false )
| ( ( c0
= ( SV204 @ c0 ) )
= $false )
| ( ( ( c_plus @ SV12 @ SV12 )
= ( c_plus @ ( SV204 @ SV12 ) @ ( SV205 @ SV12 ) ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= sK1_Xx )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV204
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( SV205
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) ) ))]]) ).
thf(132,plain,
! [SV12: n,SV205: n > n,SV204: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV204 @ c0 ) @ ( SV205 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ SV12 @ SV12 )
= ( c_plus @ ( SV204 @ SV12 ) @ ( SV205 @ SV12 ) ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= sK1_Xx )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV204
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( SV205
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) ) ))]]) ).
thf(133,plain,
! [SV12: n,SV204: n > n,SV205: n > n] :
( ( ( sK1_Xx
= ( SV205 @ c0 ) )
= $false )
| ( ( c0
= ( SV204 @ c0 ) )
= $false )
| ( ( ( c_plus @ SV12 @ sK1_Xx )
= ( c_plus @ ( SV204 @ SV12 ) @ ( SV205 @ SV12 ) ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV204
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
@ ( SV205
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) ) ))]]) ).
thf(134,plain,
! [SV12: n,SV205: n > n,SV204: n > n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV204 @ c0 ) @ ( SV205 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ SV12 @ sK1_Xx )
= ( c_plus @ ( SV204 @ SV12 ) @ ( SV205 @ SV12 ) ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV204
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
@ ( SV205
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) ) ))]]) ).
thf(135,plain,
! [SV12: n,SV204: n > n,SV205: n > n] :
( ( ( c0
= ( SV205 @ c0 ) )
= $false )
| ( ( c0
= ( SV204 @ c0 ) )
= $false )
| ( ( ( c_plus @ c0 @ SV12 )
= ( c_plus @ ( SV204 @ SV12 ) @ ( SV205 @ SV12 ) ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )
= sK1_Xx )
= $false )
| ( ( ( c_plus
@ ( SV204
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
@ ( SV205
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) ) ))]]) ).
thf(136,plain,
! [SV12: n,SV205: n > n,SV204: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV204 @ c0 ) @ ( SV205 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ c0 @ SV12 )
= ( c_plus @ ( SV204 @ SV12 ) @ ( SV205 @ SV12 ) ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )
= sK1_Xx )
= $false )
| ( ( ( c_plus
@ ( SV204
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
@ ( SV205
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) ) ))]]) ).
thf(137,plain,
! [SV12: n,SV204: n > n,SV205: n > n] :
( ( ( sK1_Xx
= ( SV205 @ c0 ) )
= $false )
| ( ( c0
= ( SV204 @ c0 ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV204 @ SV12 ) @ ( SV205 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV204
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) )
@ ( SV205
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) ) ))]]) ).
thf(138,plain,
! [SV12: n,SV205: n > n,SV204: n > n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV204 @ c0 ) @ ( SV205 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV204 @ SV12 ) @ ( SV205 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV204
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) )
@ ( SV205
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) ) ))]]) ).
thf(139,plain,
! [SV12: n,SV204: n > n,SV288: n > n,SV205: n > n,SV289: n > n] :
( ( ( ( c_plus @ ( SV288 @ SV12 ) @ ( SV289 @ SV12 ) )
= ( c_plus @ ( SV204 @ SV12 ) @ ( SV205 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV288
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV288 @ SX0 ) @ ( SV289 @ SX0 ) ) ) )
@ ( SV289
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV288 @ SX0 ) @ ( SV289 @ SX0 ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus
@ ( SV204
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV288 @ SX0 ) @ ( SV289 @ SX0 ) ) ) )
@ ( SV205
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV288 @ SX0 ) @ ( SV289 @ SX0 ) ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( SV289 @ c0 )
= ( SV205 @ c0 ) )
= $false )
| ( ( ( SV288 @ c0 )
= ( SV204 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV288 @ SX0 ) @ ( SV289 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) ) ))]]) ).
thf(140,plain,
! [SV12: n,SV205: n > n,SV204: n > n,SV289: n > n,SV288: n > n] :
( ( ( ( c_plus @ ( SV288 @ c0 ) @ ( SV289 @ c0 ) )
= ( c_plus @ ( SV204 @ c0 ) @ ( SV205 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( SV288 @ SV12 ) @ ( SV289 @ SV12 ) )
= ( c_plus @ ( SV204 @ SV12 ) @ ( SV205 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV288
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV288 @ SX0 ) @ ( SV289 @ SX0 ) ) ) )
@ ( SV289
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV288 @ SX0 ) @ ( SV289 @ SX0 ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus
@ ( SV204
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV288 @ SX0 ) @ ( SV289 @ SX0 ) ) ) )
@ ( SV205
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV288 @ SX0 ) @ ( SV289 @ SX0 ) ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV288 @ SX0 ) @ ( SV289 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) ) ))]]) ).
thf(141,plain,
! [SV12: n,SV205: n > n,SV204: n > n] :
( ( ( c0
= ( c_plus @ ( SV204 @ c0 ) @ ( SV205 @ c0 ) ) )
= $false )
| ( ( SV12
= ( c_plus @ ( SV204 @ SV12 ) @ ( SV205 @ SV12 ) ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus
@ ( SV204
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
@ ( SV205
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) ) ))]]) ).
thf(142,plain,
! [SV12: n] :
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ SV12 @ SV12 )
= SV12 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= sK1_Xx )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= c0 )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(143,plain,
! [SV12: n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ SV12 @ sK1_Xx )
= SV12 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )
= c0 )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(144,plain,
! [SV12: n] :
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ c0 @ SV12 )
= SV12 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )
= sK1_Xx )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(145,plain,
! [SV12: n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= SV12 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(146,plain,
! [SV12: n,SV209: n > n,SV208: n > n] :
( ( ( ( c_plus @ ( SV208 @ c0 ) @ ( SV209 @ c0 ) )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV208 @ SV12 ) @ ( SV209 @ SV12 ) )
= SV12 )
= $true )
| ( ( ( c_plus
@ ( SV208
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV208 @ SX0 ) @ ( SV209 @ SX0 ) ) ) )
@ ( SV209
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV208 @ SX0 ) @ ( SV209 @ SX0 ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV208 @ SX0 ) @ ( SV209 @ SX0 ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV208 @ SX0 ) @ ( SV209 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(148,plain,
! [SV12: n,SV348: n > n,SV349: n > n] :
( ( ( c0
= ( SV349 @ c0 ) )
= $false )
| ( ( c0
= ( SV348 @ c0 ) )
= $false )
| ( ( ( c_plus @ SV12 @ SV12 )
= ( c_plus @ ( SV348 @ SV12 ) @ ( SV349 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV348
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV348 @ SX0 ) @ ( SV349 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( SV349
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV348 @ SX0 ) @ ( SV349 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV348 @ SX0 ) @ ( SV349 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= c0 )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV348 @ SX0 ) @ ( SV349 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV348 @ SX0 ) @ ( SV349 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(149,plain,
! [SV12: n,SV349: n > n,SV348: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV348 @ c0 ) @ ( SV349 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ SV12 @ SV12 )
= ( c_plus @ ( SV348 @ SV12 ) @ ( SV349 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV348
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV348 @ SX0 ) @ ( SV349 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( SV349
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV348 @ SX0 ) @ ( SV349 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV348 @ SX0 ) @ ( SV349 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= c0 )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV348 @ SX0 ) @ ( SV349 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV348 @ SX0 ) @ ( SV349 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(150,plain,
! [SV12: n] :
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ SV12 @ SV12 )
= SV12 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= c0 )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(151,plain,
! [SV12: n,SV338: n > n,SV339: n > n] :
( ( ( c0
= ( SV339 @ c0 ) )
= $false )
| ( ( c0
= ( SV338 @ c0 ) )
= $false )
| ( ( ( c_plus @ SV12 @ c0 )
= ( c_plus @ ( SV338 @ SV12 ) @ ( SV339 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV338
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV338 @ SX0 ) @ ( SV339 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ ( SV339
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV338 @ SX0 ) @ ( SV339 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV338 @ SX0 ) @ ( SV339 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV338 @ SX0 ) @ ( SV339 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(152,plain,
! [SV12: n,SV339: n > n,SV338: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV338 @ c0 ) @ ( SV339 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ SV12 @ c0 )
= ( c_plus @ ( SV338 @ SV12 ) @ ( SV339 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV338
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV338 @ SX0 ) @ ( SV339 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ ( SV339
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV338 @ SX0 ) @ ( SV339 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV338 @ SX0 ) @ ( SV339 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV338 @ SX0 ) @ ( SV339 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(153,plain,
! [SV12: n] :
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ SV12 @ c0 )
= SV12 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(154,plain,
! [SV12: n,SV326: n > n,SV327: n > n] :
( ( ( c0
= ( SV327 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV326 @ c0 ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ SV12 )
= ( c_plus @ ( SV326 @ SV12 ) @ ( SV327 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV326
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV326 @ SX0 ) @ ( SV327 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) )
@ ( SV327
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV326 @ SX0 ) @ ( SV327 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV326 @ SX0 ) @ ( SV327 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV326 @ SX0 ) @ ( SV327 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(155,plain,
! [SV12: n,SV327: n > n,SV326: n > n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( SV326 @ c0 ) @ ( SV327 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ SV12 )
= ( c_plus @ ( SV326 @ SV12 ) @ ( SV327 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV326
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV326 @ SX0 ) @ ( SV327 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) )
@ ( SV327
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV326 @ SX0 ) @ ( SV327 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV326 @ SX0 ) @ ( SV327 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV326 @ SX0 ) @ ( SV327 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(156,plain,
! [SV12: n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ sK1_Xx @ SV12 )
= SV12 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(157,plain,
! [SV12: n,SV316: n > n,SV317: n > n] :
( ( ( c0
= ( SV317 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV316 @ c0 ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( SV316 @ SV12 ) @ ( SV317 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV316
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV316 @ SX0 ) @ ( SV317 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) )
@ ( SV317
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV316 @ SX0 ) @ ( SV317 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV316 @ SX0 ) @ ( SV317 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(158,plain,
! [SV12: n,SV317: n > n,SV316: n > n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( SV316 @ c0 ) @ ( SV317 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( SV316 @ SV12 ) @ ( SV317 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV316
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV316 @ SX0 ) @ ( SV317 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) )
@ ( SV317
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV316 @ SX0 ) @ ( SV317 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV316 @ SX0 ) @ ( SV317 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(159,plain,
! [SV12: n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= SV12 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(160,plain,
! [SV12: n,SV299: n > n,SV298: n > n] :
( ( ( ( c_plus @ ( SV298 @ c0 ) @ ( SV299 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV298 @ SV12 ) @ ( SV299 @ SV12 ) )
= ( c_plus @ SV12 @ SV12 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) )
= sK1_Xx )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV298
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ) )
@ ( SV299
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ))]]) ).
thf(161,plain,
! [SV12: n,SV299: n > n,SV298: n > n] :
( ( ( ( c_plus @ ( SV298 @ c0 ) @ ( SV299 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV298 @ SV12 ) @ ( SV299 @ SV12 ) )
= ( c_plus @ SV12 @ sK1_Xx ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV298
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ) )
@ ( SV299
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ))]]) ).
thf(162,plain,
! [SV12: n,SV299: n > n,SV298: n > n] :
( ( ( ( c_plus @ ( SV298 @ c0 ) @ ( SV299 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV298 @ SV12 ) @ ( SV299 @ SV12 ) )
= ( c_plus @ c0 @ SV12 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) )
= sK1_Xx )
= $false )
| ( ( ( c_plus
@ ( SV298
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ) )
@ ( SV299
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ))]]) ).
thf(163,plain,
! [SV12: n,SV299: n > n,SV298: n > n] :
( ( ( ( c_plus @ ( SV298 @ c0 ) @ ( SV299 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV298 @ SV12 ) @ ( SV299 @ SV12 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $true )
| ( ( ( c_plus
@ ( SV298
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ) )
@ ( SV299
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ))]]) ).
thf(164,plain,
! [SV12: n,SV358: n > n,SV298: n > n,SV359: n > n,SV299: n > n] :
( ( ( ( c_plus @ ( SV298 @ SV12 ) @ ( SV299 @ SV12 ) )
= ( c_plus @ ( SV358 @ SV12 ) @ ( SV359 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV358
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV358 @ SX0 ) @ ( SV359 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ) )
@ ( SV359
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV358 @ SX0 ) @ ( SV359 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus
@ ( SV298
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV358 @ SX0 ) @ ( SV359 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ) )
@ ( SV299
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV358 @ SX0 ) @ ( SV359 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( SV299 @ c0 )
= ( SV359 @ c0 ) )
= $false )
| ( ( ( SV298 @ c0 )
= ( SV358 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV358 @ SX0 ) @ ( SV359 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ))]]) ).
thf(165,plain,
! [SV12: n,SV359: n > n,SV358: n > n,SV299: n > n,SV298: n > n] :
( ( ( ( c_plus @ ( SV298 @ c0 ) @ ( SV299 @ c0 ) )
= ( c_plus @ ( SV358 @ c0 ) @ ( SV359 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( SV298 @ SV12 ) @ ( SV299 @ SV12 ) )
= ( c_plus @ ( SV358 @ SV12 ) @ ( SV359 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV358
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV358 @ SX0 ) @ ( SV359 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ) )
@ ( SV359
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV358 @ SX0 ) @ ( SV359 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus
@ ( SV298
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV358 @ SX0 ) @ ( SV359 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ) )
@ ( SV299
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV358 @ SX0 ) @ ( SV359 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV358 @ SX0 ) @ ( SV359 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ))]]) ).
thf(166,plain,
! [SV12: n,SV299: n > n,SV298: n > n] :
( ( ( ( c_plus @ ( SV298 @ c0 ) @ ( SV299 @ c0 ) )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV298 @ SV12 ) @ ( SV299 @ SV12 ) )
= SV12 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus
@ ( SV298
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ) )
@ ( SV299
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV298 @ SX0 ) @ ( SV299 @ SX0 ) ) ))]]) ).
thf(167,plain,
! [SV12: n] :
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( SV12
= ( c_plus @ SV12 @ SV12 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= sK1_Xx )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= c0 )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(168,plain,
! [SV12: n] :
( ( ( c0
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( SV12
= ( c_plus @ SV12 @ sK1_Xx ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 )
= c0 )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(169,plain,
! [SV12: n] :
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( SV12
= ( c_plus @ c0 @ SV12 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= sK1_Xx )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(170,plain,
! [SV12: n] :
( ( ( c0
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( SV12
= ( c_plus @ c0 @ sK1_Xx ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(171,plain,
! [SV12: n,SV303: n > n,SV302: n > n] :
( ( ( c0
= ( c_plus @ ( SV302 @ c0 ) @ ( SV303 @ c0 ) ) )
= $false )
| ( ( SV12
= ( c_plus @ ( SV302 @ SV12 ) @ ( SV303 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV302
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV302 @ SX0 ) @ ( SV303 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
@ ( SV303
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV302 @ SX0 ) @ ( SV303 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV302 @ SX0 ) @ ( SV303 @ SX0 ) )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV302 @ SX0 ) @ ( SV303 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(173,plain,
! [SV12: n,SV392: n > n,SV13: n > n] :
( ( ( ( SV13
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV392 @ SX0 ) @ SX0 )
@ SV13 ) )
= ( c_plus
@ ( SV392
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV392 @ SX0 ) @ SX0 )
@ SV13 ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV392 @ SX0 ) @ SX0 )
@ SV13 ) ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( c_plus @ ( SV392 @ SV12 ) @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV392 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[68:[bind(SV8,$thf( SV392 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV392 @ SX0 ) @ SX0 ) ))]]) ).
thf(174,plain,
! [SV12: n,SV392: n > n,SV13: n > n] :
( ( ( ( SV13
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV392 @ SX0 ) @ c0 )
@ SV13 ) )
= ( c_plus
@ ( SV392
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV392 @ SX0 ) @ c0 )
@ SV13 ) )
@ c0 ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( c_plus @ ( SV392 @ SV12 ) @ c0 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV392 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[68:[bind(SV8,$thf( SV392 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV392 @ SX0 ) @ c0 ) ))]]) ).
thf(175,plain,
! [SV12: n,SV393: n > n,SV392: n > n,SV13: n > n] :
( ( ( ( SV13
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV392 @ SX0 ) @ ( SV393 @ SX0 ) )
@ SV13 ) )
= ( c_plus
@ ( SV392
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV392 @ SX0 ) @ ( SV393 @ SX0 ) )
@ SV13 ) )
@ ( SV393
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV392 @ SX0 ) @ ( SV393 @ SX0 ) )
@ SV13 ) ) ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( c_plus @ ( SV392 @ SV12 ) @ ( SV393 @ SV12 ) ) )
= $true )
| ( ( ( c_plus @ ( SV392 @ c0 ) @ ( SV393 @ c0 ) )
= ( c_plus @ ( SV13 @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[68:[bind(SV8,$thf( SV13 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV392 @ SX0 ) @ ( SV393 @ SX0 ) ) ))]]) ).
thf(176,plain,
! [SV12: n,SV13: n > n] :
( ( ( ( SV13
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ SV13 ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ SV13 ) )
= $true )
| ( ( ( SV13 @ SV12 )
= SV12 )
= $true )
| ( ( c0
= ( c_plus @ ( SV13 @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[68:[bind(SV8,$thf( SV13 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(177,plain,
! [SV12: n,SV398: n > n,SV11: n > n] :
( ( ( ( c_plus
@ ( SV398
@ ( sK2_Xx @ SV11
@ ^ [SX0: n] : ( c_plus @ ( SV398 @ SX0 ) @ SX0 ) ) )
@ ( sK2_Xx @ SV11
@ ^ [SX0: n] : ( c_plus @ ( SV398 @ SX0 ) @ SX0 ) ) )
= ( SV11
@ ( sK2_Xx @ SV11
@ ^ [SX0: n] : ( c_plus @ ( SV398 @ SX0 ) @ SX0 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV398 @ SV12 ) @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV11 @ c0 )
= ( SV398 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[68:[bind(SV8,$thf( SV398 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV398 @ SX0 ) @ SX0 ) ))]]) ).
thf(178,plain,
! [SV12: n,SV398: n > n,SV11: n > n] :
( ( ( ( c_plus
@ ( SV398
@ ( sK2_Xx @ SV11
@ ^ [SX0: n] : ( c_plus @ ( SV398 @ SX0 ) @ c0 ) ) )
@ c0 )
= ( SV11
@ ( sK2_Xx @ SV11
@ ^ [SX0: n] : ( c_plus @ ( SV398 @ SX0 ) @ c0 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV398 @ SV12 ) @ c0 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV11 @ c0 )
= ( SV398 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[68:[bind(SV8,$thf( SV398 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV398 @ SX0 ) @ c0 ) ))]]) ).
thf(179,plain,
! [SV12: n,SV399: n > n,SV11: n > n,SV398: n > n] :
( ( ( ( c_plus
@ ( SV398
@ ( sK2_Xx @ SV11
@ ^ [SX0: n] : ( c_plus @ ( SV398 @ SX0 ) @ ( SV399 @ SX0 ) ) ) )
@ ( SV399
@ ( sK2_Xx @ SV11
@ ^ [SX0: n] : ( c_plus @ ( SV398 @ SX0 ) @ ( SV399 @ SX0 ) ) ) ) )
= ( SV11
@ ( sK2_Xx @ SV11
@ ^ [SX0: n] : ( c_plus @ ( SV398 @ SX0 ) @ ( SV399 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV398 @ SV12 ) @ ( SV399 @ SV12 ) )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( c_plus @ ( SV398 @ c0 ) @ ( SV399 @ c0 ) )
= ( c_plus @ ( SV11 @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[68:[bind(SV8,$thf( SV11 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV398 @ SX0 ) @ ( SV399 @ SX0 ) ) ))]]) ).
thf(180,plain,
! [SV12: n,SV11: n > n] :
( ( ( ( sK2_Xx @ SV11
@ ^ [SX0: n] : SX0 )
= ( SV11
@ ( sK2_Xx @ SV11
@ ^ [SX0: n] : SX0 ) ) )
= $true )
| ( ( SV12
= ( SV11 @ SV12 ) )
= $true )
| ( ( c0
= ( c_plus @ ( SV11 @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[68:[bind(SV8,$thf( SV11 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(181,plain,
! [SV503: n > n,SV502: n > n] :
( ( ( ( c_plus @ ( SV502 @ c0 ) @ ( SV503 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV502
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV502 @ SX0 ) @ ( SV503 @ SX0 ) ) ) )
@ ( SV503
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV502 @ SX0 ) @ ( SV503 @ SX0 ) ) ) ) )
= ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV502 @ SX0 ) @ ( SV503 @ SX0 ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV502 @ SX0 ) @ ( SV503 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV502 @ c0 ) @ ( SV503 @ c0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV502 @ SX0 ) @ ( SV503 @ SX0 ) ) )),bind(SV12,$thf( c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(182,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
= $true )
| ( ( c0
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV12,$thf( c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(183,plain,
! [SV483: n > n,SV482: n > n] :
( ( ( ( c_plus @ ( SV482 @ c0 ) @ ( SV483 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus
@ ( SV482
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV482 @ SX0 ) @ ( SV483 @ SX0 ) ) ) )
@ ( SV483
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV482 @ SX0 ) @ ( SV483 @ SX0 ) ) ) ) )
= ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV482 @ SX0 ) @ ( SV483 @ SX0 ) ) )
@ sK1_Xx ) )
= $true )
| ( ( ( c_plus @ ( SV482 @ c0 ) @ ( SV483 @ c0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV482 @ SX0 ) @ ( SV483 @ SX0 ) ) )),bind(SV12,$thf( c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(184,plain,
( ( ( c0
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 )
@ sK1_Xx ) )
= $true )
| ( ( c0
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV12,$thf( c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(185,plain,
! [SV461: n > n,SV460: n > n] :
( ( ( ( c_plus @ ( SV460 @ c0 ) @ ( SV461 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV460
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV460 @ SX0 ) @ ( SV461 @ SX0 ) ) ) )
@ ( SV461
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV460 @ SX0 ) @ ( SV461 @ SX0 ) ) ) ) )
= ( c_plus @ c0
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV460 @ SX0 ) @ ( SV461 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV460 @ sK1_Xx ) @ ( SV461 @ sK1_Xx ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV460 @ SX0 ) @ ( SV461 @ SX0 ) ) )),bind(SV12,$thf( sK1_Xx )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(186,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ c0
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
= $true )
| ( ( sK1_Xx
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV12,$thf( sK1_Xx )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(187,plain,
! [SV12: n,SV441: n > n,SV440: n > n] :
( ( ( ( c_plus @ ( SV440 @ c0 ) @ ( SV441 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus
@ ( SV440
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV440 @ SX0 ) @ ( SV441 @ SX0 ) ) ) )
@ ( SV441
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV440 @ SX0 ) @ ( SV441 @ SX0 ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $true )
| ( ( ( c_plus @ ( SV440 @ SV12 ) @ ( SV441 @ SV12 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV440 @ SX0 ) @ ( SV441 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(188,plain,
( ( ( c0
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $true ) ),
inference(extuni,[status(esa)],[67:[bind(SV12,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(189,plain,
! [SV404: n > n,SV527: n > n,SV526: n > n,SV405: n > n] :
( ( ( c0
= ( SV405 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV526 @ c0 ) @ ( SV527 @ c0 ) )
= ( SV404 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV526
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ SX0 ) ) )
@ ( SV527
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ SX0 ) ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ SX0 ) ) )
= ( c_plus
@ ( SV404
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ SX0 ) ) )
@ ( SV405
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV526 @ c0 ) @ ( SV527 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV404 @ c0 ) @ ( SV405 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV12,$thf( c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) ) ))]]) ).
thf(190,plain,
! [SV405: n > n,SV404: n > n,SV527: n > n,SV526: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV526 @ c0 ) @ ( SV527 @ c0 ) ) @ c0 )
= ( c_plus @ ( SV404 @ c0 ) @ ( SV405 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV526
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ SX0 ) ) )
@ ( SV527
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ SX0 ) ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ SX0 ) ) )
= ( c_plus
@ ( SV404
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ SX0 ) ) )
@ ( SV405
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV526 @ c0 ) @ ( SV527 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV404 @ c0 ) @ ( SV405 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV12,$thf( c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) ) ))]]) ).
thf(191,plain,
! [SV12: n,SV404: n > n,SV527: n > n,SV526: n > n,SV405: n > n] :
( ( ( c0
= ( SV405 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV526 @ c0 ) @ ( SV527 @ c0 ) )
= ( SV404 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV526
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ c0 ) ) )
@ ( SV527
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ c0 ) ) ) )
@ c0 )
= ( c_plus
@ ( SV404
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ c0 ) ) )
@ ( SV405
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ c0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV526 @ SV12 ) @ ( SV527 @ SV12 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV404 @ SV12 ) @ ( SV405 @ SV12 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ c0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) ) ))]]) ).
thf(192,plain,
! [SV12: n,SV405: n > n,SV404: n > n,SV527: n > n,SV526: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV526 @ c0 ) @ ( SV527 @ c0 ) ) @ c0 )
= ( c_plus @ ( SV404 @ c0 ) @ ( SV405 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV526
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ c0 ) ) )
@ ( SV527
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ c0 ) ) ) )
@ c0 )
= ( c_plus
@ ( SV404
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ c0 ) ) )
@ ( SV405
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ c0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV526 @ SV12 ) @ ( SV527 @ SV12 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV404 @ SV12 ) @ ( SV405 @ SV12 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV526 @ SX0 ) @ ( SV527 @ SX0 ) ) @ c0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) ) ))]]) ).
thf(193,plain,
! [SV404: n > n,SV405: n > n] :
( ( ( c0
= ( SV405 @ c0 ) )
= $false )
| ( ( c0
= ( SV404 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( c_plus
@ ( SV404
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( SV405
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV404 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV405 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV12,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) ) ))]]) ).
thf(194,plain,
! [SV405: n > n,SV404: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV404 @ c0 ) @ ( SV405 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( c_plus
@ ( SV404
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( SV405
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV404 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV405 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV12,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) ) ))]]) ).
thf(195,plain,
! [SV404: n > n,SV405: n > n] :
( ( ( c0
= ( SV405 @ c0 ) )
= $false )
| ( ( c0
= ( SV404 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )
@ c0 )
= ( c_plus
@ ( SV404
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ ( SV405
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV404 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV405 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV12,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) ) ))]]) ).
thf(196,plain,
! [SV405: n > n,SV404: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV404 @ c0 ) @ ( SV405 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )
@ c0 )
= ( c_plus
@ ( SV404
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ ( SV405
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV404 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV405 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV12,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) ) ))]]) ).
thf(197,plain,
! [SV12: n,SV404: n > n,SV522: n > n,SV405: n > n,SV523: n > n] :
( ( ( ( c_plus
@ ( SV522
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV522 @ SX0 ) @ ( SV523 @ SX0 ) ) ) )
@ ( SV523
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV522 @ SX0 ) @ ( SV523 @ SX0 ) ) ) ) )
= ( c_plus
@ ( SV404
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV522 @ SX0 ) @ ( SV523 @ SX0 ) ) ) )
@ ( SV405
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV522 @ SX0 ) @ ( SV523 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV522 @ SV12 ) @ ( SV523 @ SV12 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV404 @ SV12 ) @ ( SV405 @ SV12 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( SV523 @ c0 )
= ( SV405 @ c0 ) )
= $false )
| ( ( ( SV522 @ c0 )
= ( SV404 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV522 @ SX0 ) @ ( SV523 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) ) ))]]) ).
thf(198,plain,
! [SV12: n,SV405: n > n,SV404: n > n,SV523: n > n,SV522: n > n] :
( ( ( ( c_plus @ ( SV522 @ c0 ) @ ( SV523 @ c0 ) )
= ( c_plus @ ( SV404 @ c0 ) @ ( SV405 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( SV522
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV522 @ SX0 ) @ ( SV523 @ SX0 ) ) ) )
@ ( SV523
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV522 @ SX0 ) @ ( SV523 @ SX0 ) ) ) ) )
= ( c_plus
@ ( SV404
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV522 @ SX0 ) @ ( SV523 @ SX0 ) ) ) )
@ ( SV405
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV522 @ SX0 ) @ ( SV523 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV522 @ SV12 ) @ ( SV523 @ SV12 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV404 @ SV12 ) @ ( SV405 @ SV12 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV522 @ SX0 ) @ ( SV523 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) ) ))]]) ).
thf(199,plain,
! [SV405: n > n,SV404: n > n] :
( ( ( c0
= ( c_plus @ ( SV404 @ c0 ) @ ( SV405 @ c0 ) ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( SV404
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
@ ( SV405
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV404 @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) @ ( SV405 @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV12,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV404 @ SX0 ) @ ( SV405 @ SX0 ) ) ))]]) ).
thf(200,plain,
! [SV413: n > n,SV412: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV412 @ c0 ) @ ( SV413 @ c0 ) ) @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV412
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV412 @ SX0 ) @ ( SV413 @ SX0 ) ) @ SX0 ) ) )
@ ( SV413
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV412 @ SX0 ) @ ( SV413 @ SX0 ) ) @ SX0 ) ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV412 @ SX0 ) @ ( SV413 @ SX0 ) ) @ SX0 ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV412 @ SX0 ) @ ( SV413 @ SX0 ) ) @ SX0 ) ) )
= $true )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV412 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV413 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV412 @ SX0 ) @ ( SV413 @ SX0 ) ) @ SX0 ) )),bind(SV12,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(201,plain,
! [SV413: n > n,SV412: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV412 @ c0 ) @ ( SV413 @ c0 ) ) @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV412
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV412 @ SX0 ) @ ( SV413 @ SX0 ) ) @ c0 ) ) )
@ ( SV413
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV412 @ SX0 ) @ ( SV413 @ SX0 ) ) @ c0 ) ) ) )
@ c0 )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV412 @ SX0 ) @ ( SV413 @ SX0 ) ) @ c0 ) ) )
= $true )
| ( ( ( c_plus @ ( SV412 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV413 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV412 @ SX0 ) @ ( SV413 @ SX0 ) ) @ c0 ) )),bind(SV12,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(202,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= $true )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( sK1_Xx = c0 )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV12,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(203,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )
@ c0 )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
= $true )
| ( ( sK1_Xx = c0 )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV12,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(204,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= $true )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV12,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(205,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )
@ c0 )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
= $true )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV12,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(206,plain,
! [SV409: n > n,SV408: n > n] :
( ( ( ( c_plus @ ( SV408 @ c0 ) @ ( SV409 @ c0 ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV408
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV408 @ SX0 ) @ ( SV409 @ SX0 ) ) ) )
@ ( SV409
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV408 @ SX0 ) @ ( SV409 @ SX0 ) ) ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV408 @ SX0 ) @ ( SV409 @ SX0 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV408 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV409 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV408 @ SX0 ) @ ( SV409 @ SX0 ) ) )),bind(SV12,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(209,plain,
! [SV628: n > n,SV629: n > n] :
( ( ( c0
= ( SV629 @ c0 ) )
= $false )
| ( ( c0
= ( SV628 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV628 @ SX0 ) @ ( SV629 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV628 @ SX0 ) @ ( SV629 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( c_plus
@ ( SV628
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV628 @ SX0 ) @ ( SV629 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( SV629
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV628 @ SX0 ) @ ( SV629 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV628 @ c0 ) @ ( SV629 @ c0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV628 @ SX0 ) @ ( SV629 @ SX0 ) ) )),bind(SV12,$thf( c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(210,plain,
! [SV629: n > n,SV628: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV628 @ c0 ) @ ( SV629 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV628 @ SX0 ) @ ( SV629 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV628 @ SX0 ) @ ( SV629 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( c_plus
@ ( SV628
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV628 @ SX0 ) @ ( SV629 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( SV629
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV628 @ SX0 ) @ ( SV629 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV628 @ c0 ) @ ( SV629 @ c0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV628 @ SX0 ) @ ( SV629 @ SX0 ) ) )),bind(SV12,$thf( c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(211,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= $true )
| ( ( c0
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV12,$thf( c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(212,plain,
! [SV614: n > n,SV615: n > n] :
( ( ( sK1_Xx
= ( SV615 @ c0 ) )
= $false )
| ( ( c0
= ( SV614 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV614 @ SX0 ) @ ( SV615 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )
@ sK1_Xx )
= ( c_plus
@ ( SV614
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV614 @ SX0 ) @ ( SV615 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
@ ( SV615
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV614 @ SX0 ) @ ( SV615 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV614 @ c0 ) @ ( SV615 @ c0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV614 @ SX0 ) @ ( SV615 @ SX0 ) ) )),bind(SV12,$thf( c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(213,plain,
! [SV615: n > n,SV614: n > n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV614 @ c0 ) @ ( SV615 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV614 @ SX0 ) @ ( SV615 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )
@ sK1_Xx )
= ( c_plus
@ ( SV614
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV614 @ SX0 ) @ ( SV615 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
@ ( SV615
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV614 @ SX0 ) @ ( SV615 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV614 @ c0 ) @ ( SV615 @ c0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV614 @ SX0 ) @ ( SV615 @ SX0 ) ) )),bind(SV12,$thf( c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(214,plain,
( ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )
@ sK1_Xx )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
= $true )
| ( ( c0
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV12,$thf( c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(215,plain,
! [SV598: n > n,SV599: n > n] :
( ( ( c0
= ( SV599 @ c0 ) )
= $false )
| ( ( c0
= ( SV598 @ c0 ) )
= $false )
| ( ( ( c_plus @ c0
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV598 @ SX0 ) @ ( SV599 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
= ( c_plus
@ ( SV598
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV598 @ SX0 ) @ ( SV599 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
@ ( SV599
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV598 @ SX0 ) @ ( SV599 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV598 @ sK1_Xx ) @ ( SV599 @ sK1_Xx ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV598 @ SX0 ) @ ( SV599 @ SX0 ) ) )),bind(SV12,$thf( sK1_Xx )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(216,plain,
! [SV599: n > n,SV598: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV598 @ c0 ) @ ( SV599 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ c0
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV598 @ SX0 ) @ ( SV599 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
= ( c_plus
@ ( SV598
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV598 @ SX0 ) @ ( SV599 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
@ ( SV599
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV598 @ SX0 ) @ ( SV599 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV598 @ sK1_Xx ) @ ( SV599 @ sK1_Xx ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV598 @ SX0 ) @ ( SV599 @ SX0 ) ) )),bind(SV12,$thf( sK1_Xx )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(217,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ c0
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
= $true )
| ( ( sK1_Xx
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV12,$thf( sK1_Xx )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(218,plain,
! [SV12: n,SV584: n > n,SV585: n > n] :
( ( ( sK1_Xx
= ( SV585 @ c0 ) )
= $false )
| ( ( c0
= ( SV584 @ c0 ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus
@ ( SV584
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV584 @ SX0 ) @ ( SV585 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) )
@ ( SV585
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV584 @ SX0 ) @ ( SV585 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV584 @ SV12 ) @ ( SV585 @ SV12 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV584 @ SX0 ) @ ( SV585 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(219,plain,
! [SV12: n,SV585: n > n,SV584: n > n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV584 @ c0 ) @ ( SV585 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus
@ ( SV584
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV584 @ SX0 ) @ ( SV585 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) )
@ ( SV585
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV584 @ SX0 ) @ ( SV585 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV584 @ SV12 ) @ ( SV585 @ SV12 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV584 @ SX0 ) @ ( SV585 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(220,plain,
( ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) )
= $true ) ),
inference(extuni,[status(esa)],[67:[bind(SV12,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(221,plain,
! [SV647: n > n,SV646: n > n,SV549: n > n,SV548: n > n] :
( ( ( ( c_plus @ ( SV548 @ c0 ) @ ( SV549 @ c0 ) )
= ( c_plus @ ( c_plus @ ( SV646 @ c0 ) @ ( SV647 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV548
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV646 @ SX0 ) @ ( SV647 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) )
@ ( SV549
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV646 @ SX0 ) @ ( SV647 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) ) )
= ( c_plus
@ ( c_plus
@ ( SV646
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV646 @ SX0 ) @ ( SV647 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) )
@ ( SV647
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV646 @ SX0 ) @ ( SV647 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV646 @ SX0 ) @ ( SV647 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV646 @ c0 ) @ ( SV647 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV548 @ c0 ) @ ( SV549 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV12,$thf( c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV646 @ SX0 ) @ ( SV647 @ SX0 ) ) @ SX0 ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ))]]) ).
thf(222,plain,
! [SV12: n,SV647: n > n,SV646: n > n,SV549: n > n,SV548: n > n] :
( ( ( ( c_plus @ ( SV548 @ c0 ) @ ( SV549 @ c0 ) )
= ( c_plus @ ( c_plus @ ( SV646 @ c0 ) @ ( SV647 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV548
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV646 @ SX0 ) @ ( SV647 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) )
@ ( SV549
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV646 @ SX0 ) @ ( SV647 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) ) )
= ( c_plus
@ ( c_plus
@ ( SV646
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV646 @ SX0 ) @ ( SV647 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) )
@ ( SV647
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV646 @ SX0 ) @ ( SV647 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) ) )
@ c0 ) )
= $true )
| ( ( ( c_plus @ ( SV646 @ SV12 ) @ ( SV647 @ SV12 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV548 @ SV12 ) @ ( SV549 @ SV12 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV646 @ SX0 ) @ ( SV647 @ SX0 ) ) @ c0 ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ))]]) ).
thf(223,plain,
! [SV549: n > n,SV548: n > n] :
( ( ( ( c_plus @ ( SV548 @ c0 ) @ ( SV549 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV548
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) )
@ ( SV549
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) ) )
= ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV548 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV549 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV12,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ))]]) ).
thf(224,plain,
! [SV549: n > n,SV548: n > n] :
( ( ( ( c_plus @ ( SV548 @ c0 ) @ ( SV549 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV548
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) )
@ ( SV549
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) ) )
= ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) )
@ c0 ) )
= $true )
| ( ( ( c_plus @ ( SV548 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV549 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV12,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ))]]) ).
thf(225,plain,
! [SV12: n,SV642: n > n,SV548: n > n,SV643: n > n,SV549: n > n] :
( ( ( ( c_plus
@ ( SV548
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV642 @ SX0 ) @ ( SV643 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) )
@ ( SV549
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV642 @ SX0 ) @ ( SV643 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) ) )
= ( c_plus
@ ( SV642
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV642 @ SX0 ) @ ( SV643 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) )
@ ( SV643
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV642 @ SX0 ) @ ( SV643 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV642 @ SV12 ) @ ( SV643 @ SV12 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV548 @ SV12 ) @ ( SV549 @ SV12 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( SV549 @ c0 )
= ( SV643 @ c0 ) )
= $false )
| ( ( ( SV548 @ c0 )
= ( SV642 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV642 @ SX0 ) @ ( SV643 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ))]]) ).
thf(226,plain,
! [SV12: n,SV643: n > n,SV642: n > n,SV549: n > n,SV548: n > n] :
( ( ( ( c_plus @ ( SV548 @ c0 ) @ ( SV549 @ c0 ) )
= ( c_plus @ ( SV642 @ c0 ) @ ( SV643 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( SV548
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV642 @ SX0 ) @ ( SV643 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) )
@ ( SV549
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV642 @ SX0 ) @ ( SV643 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) ) )
= ( c_plus
@ ( SV642
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV642 @ SX0 ) @ ( SV643 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) )
@ ( SV643
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV642 @ SX0 ) @ ( SV643 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV642 @ SV12 ) @ ( SV643 @ SV12 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV548 @ SV12 ) @ ( SV549 @ SV12 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV642 @ SX0 ) @ ( SV643 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ))]]) ).
thf(227,plain,
! [SV549: n > n,SV548: n > n] :
( ( ( ( c_plus @ ( SV548 @ c0 ) @ ( SV549 @ c0 ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV548
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) )
@ ( SV549
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV548 @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) @ ( SV549 @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV12,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV548 @ SX0 ) @ ( SV549 @ SX0 ) ) ))]]) ).
thf(228,plain,
! [SV557: n > n,SV556: n > n] :
( ( ( c0
= ( c_plus @ ( c_plus @ ( SV556 @ c0 ) @ ( SV557 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV556 @ SX0 ) @ ( SV557 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( c_plus
@ ( SV556
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV556 @ SX0 ) @ ( SV557 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 ) )
@ ( SV557
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV556 @ SX0 ) @ ( SV557 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV556 @ SX0 ) @ ( SV557 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
= $true )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV556 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV557 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV556 @ SX0 ) @ ( SV557 @ SX0 ) ) @ SX0 ) )),bind(SV12,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(229,plain,
! [SV557: n > n,SV556: n > n] :
( ( ( c0
= ( c_plus @ ( c_plus @ ( SV556 @ c0 ) @ ( SV557 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV556 @ SX0 ) @ ( SV557 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( c_plus
@ ( SV556
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV556 @ SX0 ) @ ( SV557 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : SX0 ) )
@ ( SV557
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV556 @ SX0 ) @ ( SV557 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : SX0 ) ) )
@ c0 ) )
= $true )
| ( ( ( c_plus @ ( SV556 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV557 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV556 @ SX0 ) @ ( SV557 @ SX0 ) ) @ c0 ) )),bind(SV12,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(230,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
= $true )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( sK1_Xx = c0 )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV12,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(231,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 )
@ c0 ) )
= $true )
| ( ( sK1_Xx = c0 )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV12,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(232,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
= $true )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV12,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(233,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 )
@ c0 ) )
= $true )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV12,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(234,plain,
! [SV553: n > n,SV552: n > n] :
( ( ( c0
= ( c_plus @ ( SV552 @ c0 ) @ ( SV553 @ c0 ) ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV552 @ SX0 ) @ ( SV553 @ SX0 ) )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( SV552
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV552 @ SX0 ) @ ( SV553 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
@ ( SV553
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV552 @ SX0 ) @ ( SV553 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV552 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV553 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV552 @ SX0 ) @ ( SV553 @ SX0 ) ) )),bind(SV12,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(237,plain,
! [SV12: n,SV797: n > n,SV796: n > n] :
( ( ( ( c_plus @ ( SV796 @ c0 ) @ ( SV797 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV796 @ SV12 ) @ ( SV797 @ SV12 ) )
= ( c_plus @ SV12 @ SV12 ) )
= $true )
| ( ( ( c_plus
@ ( SV796
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV796 @ SX0 ) @ ( SV797 @ SX0 ) ) ) )
@ ( SV797
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV796 @ SX0 ) @ ( SV797 @ SX0 ) ) ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV796 @ SX0 ) @ ( SV797 @ SX0 ) ) )
= sK1_Xx )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV796 @ SX0 ) @ ( SV797 @ SX0 ) ) )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV796 @ SX0 ) @ ( SV797 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(238,plain,
! [SV12: n] :
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( SV12
= ( c_plus @ SV12 @ SV12 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= sK1_Xx )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(239,plain,
! [SV12: n,SV777: n > n,SV776: n > n] :
( ( ( ( c_plus @ ( SV776 @ c0 ) @ ( SV777 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV776 @ SV12 ) @ ( SV777 @ SV12 ) )
= ( c_plus @ SV12 @ sK1_Xx ) )
= $true )
| ( ( ( c_plus
@ ( SV776
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV776 @ SX0 ) @ ( SV777 @ SX0 ) ) ) )
@ ( SV777
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV776 @ SX0 ) @ ( SV777 @ SX0 ) ) ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV776 @ SX0 ) @ ( SV777 @ SX0 ) ) )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV776 @ SX0 ) @ ( SV777 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(240,plain,
! [SV12: n] :
( ( ( c0
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( SV12
= ( c_plus @ SV12 @ sK1_Xx ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(241,plain,
! [SV12: n,SV755: n > n,SV754: n > n] :
( ( ( ( c_plus @ ( SV754 @ c0 ) @ ( SV755 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV754 @ SV12 ) @ ( SV755 @ SV12 ) )
= ( c_plus @ c0 @ SV12 ) )
= $true )
| ( ( ( c_plus
@ ( SV754
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV754 @ SX0 ) @ ( SV755 @ SX0 ) ) ) )
@ ( SV755
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV754 @ SX0 ) @ ( SV755 @ SX0 ) ) ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV754 @ SX0 ) @ ( SV755 @ SX0 ) ) )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV754 @ SX0 ) @ ( SV755 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(242,plain,
! [SV12: n] :
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( SV12
= ( c_plus @ c0 @ SV12 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(243,plain,
! [SV12: n,SV735: n > n,SV734: n > n] :
( ( ( ( c_plus @ ( SV734 @ c0 ) @ ( SV735 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV734 @ SV12 ) @ ( SV735 @ SV12 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $true )
| ( ( ( c_plus
@ ( SV734
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV734 @ SX0 ) @ ( SV735 @ SX0 ) ) ) )
@ ( SV735
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV734 @ SX0 ) @ ( SV735 @ SX0 ) ) ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV734 @ SX0 ) @ ( SV735 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(244,plain,
! [SV12: n] :
( ( ( c0
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( SV12
= ( c_plus @ c0 @ sK1_Xx ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(245,plain,
! [SV12: n,SV700: n > n,SV821: n > n,SV820: n > n,SV701: n > n] :
( ( ( c0
= ( SV701 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV820 @ c0 ) @ ( SV821 @ c0 ) )
= ( SV700 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ ( SV820 @ SV12 ) @ ( SV821 @ SV12 ) ) @ SV12 )
= ( c_plus @ ( SV700 @ SV12 ) @ ( SV701 @ SV12 ) ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ SX0 ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV820
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ SX0 ) ) )
@ ( SV821
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ SX0 ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV700
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ SX0 ) ) )
@ ( SV701
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ SX0 ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) ) ))]]) ).
thf(246,plain,
! [SV12: n,SV701: n > n,SV700: n > n,SV821: n > n,SV820: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV820 @ c0 ) @ ( SV821 @ c0 ) ) @ c0 )
= ( c_plus @ ( SV700 @ c0 ) @ ( SV701 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ ( SV820 @ SV12 ) @ ( SV821 @ SV12 ) ) @ SV12 )
= ( c_plus @ ( SV700 @ SV12 ) @ ( SV701 @ SV12 ) ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ SX0 ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV820
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ SX0 ) ) )
@ ( SV821
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ SX0 ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV700
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ SX0 ) ) )
@ ( SV701
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ SX0 ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) ) ))]]) ).
thf(247,plain,
! [SV12: n,SV700: n > n,SV821: n > n,SV820: n > n,SV701: n > n] :
( ( ( c0
= ( SV701 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV820 @ c0 ) @ ( SV821 @ c0 ) )
= ( SV700 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ ( SV820 @ SV12 ) @ ( SV821 @ SV12 ) ) @ c0 )
= ( c_plus @ ( SV700 @ SV12 ) @ ( SV701 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV820
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ c0 ) ) )
@ ( SV821
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ c0 ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV700
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ c0 ) ) )
@ ( SV701
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ c0 ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ c0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) ) ))]]) ).
thf(248,plain,
! [SV12: n,SV701: n > n,SV700: n > n,SV821: n > n,SV820: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV820 @ c0 ) @ ( SV821 @ c0 ) ) @ c0 )
= ( c_plus @ ( SV700 @ c0 ) @ ( SV701 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ ( SV820 @ SV12 ) @ ( SV821 @ SV12 ) ) @ c0 )
= ( c_plus @ ( SV700 @ SV12 ) @ ( SV701 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV820
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ c0 ) ) )
@ ( SV821
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ c0 ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV700
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ c0 ) ) )
@ ( SV701
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ c0 ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV820 @ SX0 ) @ ( SV821 @ SX0 ) ) @ c0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) ) ))]]) ).
thf(249,plain,
! [SV12: n,SV700: n > n,SV701: n > n] :
( ( ( c0
= ( SV701 @ c0 ) )
= $false )
| ( ( c0
= ( SV700 @ c0 ) )
= $false )
| ( ( ( c_plus @ SV12 @ SV12 )
= ( c_plus @ ( SV700 @ SV12 ) @ ( SV701 @ SV12 ) ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= c0 )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV700
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( SV701
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) ) ))]]) ).
thf(250,plain,
! [SV12: n,SV701: n > n,SV700: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV700 @ c0 ) @ ( SV701 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ SV12 @ SV12 )
= ( c_plus @ ( SV700 @ SV12 ) @ ( SV701 @ SV12 ) ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= c0 )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV700
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( SV701
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) ) ))]]) ).
thf(251,plain,
! [SV12: n,SV700: n > n,SV701: n > n] :
( ( ( c0
= ( SV701 @ c0 ) )
= $false )
| ( ( c0
= ( SV700 @ c0 ) )
= $false )
| ( ( ( c_plus @ SV12 @ c0 )
= ( c_plus @ ( SV700 @ SV12 ) @ ( SV701 @ SV12 ) ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV700
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ ( SV701
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) ) ))]]) ).
thf(252,plain,
! [SV12: n,SV701: n > n,SV700: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV700 @ c0 ) @ ( SV701 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ SV12 @ c0 )
= ( c_plus @ ( SV700 @ SV12 ) @ ( SV701 @ SV12 ) ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV700
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ ( SV701
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) ) ))]]) ).
thf(253,plain,
! [SV12: n,SV700: n > n,SV816: n > n,SV701: n > n,SV817: n > n] :
( ( ( ( c_plus @ ( SV816 @ SV12 ) @ ( SV817 @ SV12 ) )
= ( c_plus @ ( SV700 @ SV12 ) @ ( SV701 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV816
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV816 @ SX0 ) @ ( SV817 @ SX0 ) ) ) )
@ ( SV817
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV816 @ SX0 ) @ ( SV817 @ SX0 ) ) ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV700
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV816 @ SX0 ) @ ( SV817 @ SX0 ) ) ) )
@ ( SV701
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV816 @ SX0 ) @ ( SV817 @ SX0 ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( SV817 @ c0 )
= ( SV701 @ c0 ) )
= $false )
| ( ( ( SV816 @ c0 )
= ( SV700 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV816 @ SX0 ) @ ( SV817 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) ) ))]]) ).
thf(254,plain,
! [SV12: n,SV701: n > n,SV700: n > n,SV817: n > n,SV816: n > n] :
( ( ( ( c_plus @ ( SV816 @ c0 ) @ ( SV817 @ c0 ) )
= ( c_plus @ ( SV700 @ c0 ) @ ( SV701 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( SV816 @ SV12 ) @ ( SV817 @ SV12 ) )
= ( c_plus @ ( SV700 @ SV12 ) @ ( SV701 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV816
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV816 @ SX0 ) @ ( SV817 @ SX0 ) ) ) )
@ ( SV817
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV816 @ SX0 ) @ ( SV817 @ SX0 ) ) ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV700
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV816 @ SX0 ) @ ( SV817 @ SX0 ) ) ) )
@ ( SV701
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV816 @ SX0 ) @ ( SV817 @ SX0 ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV816 @ SX0 ) @ ( SV817 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) ) ))]]) ).
thf(255,plain,
! [SV12: n,SV701: n > n,SV700: n > n] :
( ( ( c0
= ( c_plus @ ( SV700 @ c0 ) @ ( SV701 @ c0 ) ) )
= $false )
| ( ( SV12
= ( c_plus @ ( SV700 @ SV12 ) @ ( SV701 @ SV12 ) ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV700
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
@ ( SV701
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV700 @ SX0 ) @ ( SV701 @ SX0 ) ) ))]]) ).
thf(256,plain,
! [SV12: n,SV709: n > n,SV708: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV708 @ c0 ) @ ( SV709 @ c0 ) ) @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ ( c_plus @ ( SV708 @ SV12 ) @ ( SV709 @ SV12 ) ) @ SV12 )
= SV12 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV708 @ SX0 ) @ ( SV709 @ SX0 ) ) @ SX0 ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV708
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV708 @ SX0 ) @ ( SV709 @ SX0 ) ) @ SX0 ) ) )
@ ( SV709
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV708 @ SX0 ) @ ( SV709 @ SX0 ) ) @ SX0 ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV708 @ SX0 ) @ ( SV709 @ SX0 ) ) @ SX0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV708 @ SX0 ) @ ( SV709 @ SX0 ) ) @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(257,plain,
! [SV12: n,SV709: n > n,SV708: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV708 @ c0 ) @ ( SV709 @ c0 ) ) @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ ( c_plus @ ( SV708 @ SV12 ) @ ( SV709 @ SV12 ) ) @ c0 )
= SV12 )
= $true )
| ( ( ( c_plus
@ ( SV708
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV708 @ SX0 ) @ ( SV709 @ SX0 ) ) @ c0 ) ) )
@ ( SV709
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV708 @ SX0 ) @ ( SV709 @ SX0 ) ) @ c0 ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV708 @ SX0 ) @ ( SV709 @ SX0 ) ) @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV708 @ SX0 ) @ ( SV709 @ SX0 ) ) @ c0 ) )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(258,plain,
! [SV12: n] :
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ SV12 @ SV12 )
= SV12 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= c0 )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(259,plain,
! [SV12: n] :
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ SV12 @ c0 )
= SV12 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(260,plain,
! [SV12: n,SV705: n > n,SV704: n > n] :
( ( ( ( c_plus @ ( SV704 @ c0 ) @ ( SV705 @ c0 ) )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV704 @ SV12 ) @ ( SV705 @ SV12 ) )
= SV12 )
= $true )
| ( ( ( c_plus
@ ( SV704
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV704 @ SX0 ) @ ( SV705 @ SX0 ) ) ) )
@ ( SV705
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV704 @ SX0 ) @ ( SV705 @ SX0 ) ) ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV704 @ SX0 ) @ ( SV705 @ SX0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV704 @ SX0 ) @ ( SV705 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(262,plain,
! [SV12: n,SV920: n > n,SV921: n > n] :
( ( ( c0
= ( SV921 @ c0 ) )
= $false )
| ( ( c0
= ( SV920 @ c0 ) )
= $false )
| ( ( ( c_plus @ SV12 @ SV12 )
= ( c_plus @ ( SV920 @ SV12 ) @ ( SV921 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV920
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV920 @ SX0 ) @ ( SV921 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( SV921
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV920 @ SX0 ) @ ( SV921 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV920 @ SX0 ) @ ( SV921 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= sK1_Xx )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV920 @ SX0 ) @ ( SV921 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV920 @ SX0 ) @ ( SV921 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(263,plain,
! [SV12: n,SV921: n > n,SV920: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV920 @ c0 ) @ ( SV921 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ SV12 @ SV12 )
= ( c_plus @ ( SV920 @ SV12 ) @ ( SV921 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV920
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV920 @ SX0 ) @ ( SV921 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( SV921
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV920 @ SX0 ) @ ( SV921 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV920 @ SX0 ) @ ( SV921 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= sK1_Xx )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV920 @ SX0 ) @ ( SV921 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV920 @ SX0 ) @ ( SV921 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(264,plain,
! [SV12: n] :
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ SV12 @ SV12 )
= SV12 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= sK1_Xx )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(265,plain,
! [SV12: n,SV906: n > n,SV907: n > n] :
( ( ( sK1_Xx
= ( SV907 @ c0 ) )
= $false )
| ( ( c0
= ( SV906 @ c0 ) )
= $false )
| ( ( ( c_plus @ SV12 @ sK1_Xx )
= ( c_plus @ ( SV906 @ SV12 ) @ ( SV907 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV906
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV906 @ SX0 ) @ ( SV907 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
@ ( SV907
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV906 @ SX0 ) @ ( SV907 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV906 @ SX0 ) @ ( SV907 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV906 @ SX0 ) @ ( SV907 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(266,plain,
! [SV12: n,SV907: n > n,SV906: n > n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV906 @ c0 ) @ ( SV907 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ SV12 @ sK1_Xx )
= ( c_plus @ ( SV906 @ SV12 ) @ ( SV907 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV906
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV906 @ SX0 ) @ ( SV907 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
@ ( SV907
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV906 @ SX0 ) @ ( SV907 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV906 @ SX0 ) @ ( SV907 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV906 @ SX0 ) @ ( SV907 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(267,plain,
! [SV12: n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ SV12 @ sK1_Xx )
= SV12 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(268,plain,
! [SV12: n,SV890: n > n,SV891: n > n] :
( ( ( c0
= ( SV891 @ c0 ) )
= $false )
| ( ( c0
= ( SV890 @ c0 ) )
= $false )
| ( ( ( c_plus @ c0 @ SV12 )
= ( c_plus @ ( SV890 @ SV12 ) @ ( SV891 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV890
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV890 @ SX0 ) @ ( SV891 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
@ ( SV891
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV890 @ SX0 ) @ ( SV891 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV890 @ SX0 ) @ ( SV891 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV890 @ SX0 ) @ ( SV891 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(269,plain,
! [SV12: n,SV891: n > n,SV890: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV890 @ c0 ) @ ( SV891 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ c0 @ SV12 )
= ( c_plus @ ( SV890 @ SV12 ) @ ( SV891 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV890
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV890 @ SX0 ) @ ( SV891 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
@ ( SV891
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV890 @ SX0 ) @ ( SV891 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV890 @ SX0 ) @ ( SV891 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV890 @ SX0 ) @ ( SV891 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(270,plain,
! [SV12: n] :
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ c0 @ SV12 )
= SV12 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(271,plain,
! [SV12: n,SV876: n > n,SV877: n > n] :
( ( ( sK1_Xx
= ( SV877 @ c0 ) )
= $false )
| ( ( c0
= ( SV876 @ c0 ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV876 @ SV12 ) @ ( SV877 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV876
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV876 @ SX0 ) @ ( SV877 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) )
@ ( SV877
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV876 @ SX0 ) @ ( SV877 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV876 @ SX0 ) @ ( SV877 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(272,plain,
! [SV12: n,SV877: n > n,SV876: n > n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV876 @ c0 ) @ ( SV877 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV876 @ SV12 ) @ ( SV877 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV876
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV876 @ SX0 ) @ ( SV877 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) )
@ ( SV877
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV876 @ SX0 ) @ ( SV877 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV876 @ SX0 ) @ ( SV877 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(273,plain,
! [SV12: n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= SV12 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(274,plain,
! [SV12: n,SV939: n > n,SV938: n > n,SV843: n > n,SV842: n > n] :
( ( ( ( c_plus @ ( SV842 @ c0 ) @ ( SV843 @ c0 ) )
= ( c_plus @ ( c_plus @ ( SV938 @ c0 ) @ ( SV939 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV842 @ SV12 ) @ ( SV843 @ SV12 ) )
= ( c_plus @ ( c_plus @ ( SV938 @ SV12 ) @ ( SV939 @ SV12 ) ) @ SV12 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV938 @ SX0 ) @ ( SV939 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV938
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV938 @ SX0 ) @ ( SV939 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) )
@ ( SV939
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV938 @ SX0 ) @ ( SV939 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV842
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV938 @ SX0 ) @ ( SV939 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) )
@ ( SV843
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV938 @ SX0 ) @ ( SV939 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV938 @ SX0 ) @ ( SV939 @ SX0 ) ) @ SX0 ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ))]]) ).
thf(275,plain,
! [SV12: n,SV939: n > n,SV938: n > n,SV843: n > n,SV842: n > n] :
( ( ( ( c_plus @ ( SV842 @ c0 ) @ ( SV843 @ c0 ) )
= ( c_plus @ ( c_plus @ ( SV938 @ c0 ) @ ( SV939 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV842 @ SV12 ) @ ( SV843 @ SV12 ) )
= ( c_plus @ ( c_plus @ ( SV938 @ SV12 ) @ ( SV939 @ SV12 ) ) @ c0 ) )
= $true )
| ( ( ( c_plus
@ ( SV938
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV938 @ SX0 ) @ ( SV939 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) )
@ ( SV939
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV938 @ SX0 ) @ ( SV939 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV842
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV938 @ SX0 ) @ ( SV939 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) )
@ ( SV843
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV938 @ SX0 ) @ ( SV939 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV938 @ SX0 ) @ ( SV939 @ SX0 ) ) @ c0 ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ))]]) ).
thf(276,plain,
! [SV12: n,SV843: n > n,SV842: n > n] :
( ( ( ( c_plus @ ( SV842 @ c0 ) @ ( SV843 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV842 @ SV12 ) @ ( SV843 @ SV12 ) )
= ( c_plus @ SV12 @ SV12 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) )
= c0 )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV842
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) )
@ ( SV843
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ))]]) ).
thf(277,plain,
! [SV12: n,SV843: n > n,SV842: n > n] :
( ( ( ( c_plus @ ( SV842 @ c0 ) @ ( SV843 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV842 @ SV12 ) @ ( SV843 @ SV12 ) )
= ( c_plus @ SV12 @ c0 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV842
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) )
@ ( SV843
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ))]]) ).
thf(278,plain,
! [SV12: n,SV934: n > n,SV842: n > n,SV935: n > n,SV843: n > n] :
( ( ( ( c_plus @ ( SV842 @ SV12 ) @ ( SV843 @ SV12 ) )
= ( c_plus @ ( SV934 @ SV12 ) @ ( SV935 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV934
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV934 @ SX0 ) @ ( SV935 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) )
@ ( SV935
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV934 @ SX0 ) @ ( SV935 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV842
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV934 @ SX0 ) @ ( SV935 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) )
@ ( SV843
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV934 @ SX0 ) @ ( SV935 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( SV843 @ c0 )
= ( SV935 @ c0 ) )
= $false )
| ( ( ( SV842 @ c0 )
= ( SV934 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV934 @ SX0 ) @ ( SV935 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ))]]) ).
thf(279,plain,
! [SV12: n,SV935: n > n,SV934: n > n,SV843: n > n,SV842: n > n] :
( ( ( ( c_plus @ ( SV842 @ c0 ) @ ( SV843 @ c0 ) )
= ( c_plus @ ( SV934 @ c0 ) @ ( SV935 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( SV842 @ SV12 ) @ ( SV843 @ SV12 ) )
= ( c_plus @ ( SV934 @ SV12 ) @ ( SV935 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV934
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV934 @ SX0 ) @ ( SV935 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) )
@ ( SV935
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV934 @ SX0 ) @ ( SV935 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV842
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV934 @ SX0 ) @ ( SV935 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) )
@ ( SV843
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV934 @ SX0 ) @ ( SV935 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV934 @ SX0 ) @ ( SV935 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ))]]) ).
thf(280,plain,
! [SV12: n,SV843: n > n,SV842: n > n] :
( ( ( ( c_plus @ ( SV842 @ c0 ) @ ( SV843 @ c0 ) )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV842 @ SV12 ) @ ( SV843 @ SV12 ) )
= SV12 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV842
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) )
@ ( SV843
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV842 @ SX0 ) @ ( SV843 @ SX0 ) ) ))]]) ).
thf(281,plain,
! [SV12: n,SV851: n > n,SV850: n > n] :
( ( ( c0
= ( c_plus @ ( c_plus @ ( SV850 @ c0 ) @ ( SV851 @ c0 ) ) @ c0 ) )
= $false )
| ( ( SV12
= ( c_plus @ ( c_plus @ ( SV850 @ SV12 ) @ ( SV851 @ SV12 ) ) @ SV12 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV850 @ SX0 ) @ ( SV851 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV850
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV850 @ SX0 ) @ ( SV851 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 ) )
@ ( SV851
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV850 @ SX0 ) @ ( SV851 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV850 @ SX0 ) @ ( SV851 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV850 @ SX0 ) @ ( SV851 @ SX0 ) ) @ SX0 ) )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(282,plain,
! [SV12: n,SV851: n > n,SV850: n > n] :
( ( ( c0
= ( c_plus @ ( c_plus @ ( SV850 @ c0 ) @ ( SV851 @ c0 ) ) @ c0 ) )
= $false )
| ( ( SV12
= ( c_plus @ ( c_plus @ ( SV850 @ SV12 ) @ ( SV851 @ SV12 ) ) @ c0 ) )
= $true )
| ( ( ( c_plus
@ ( SV850
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV850 @ SX0 ) @ ( SV851 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : SX0 ) )
@ ( SV851
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV850 @ SX0 ) @ ( SV851 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : SX0 ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV850 @ SX0 ) @ ( SV851 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV850 @ SX0 ) @ ( SV851 @ SX0 ) ) @ c0 ) )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(283,plain,
! [SV12: n] :
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( SV12
= ( c_plus @ SV12 @ SV12 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= c0 )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(284,plain,
! [SV12: n] :
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( SV12
= ( c_plus @ SV12 @ c0 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(285,plain,
! [SV12: n,SV847: n > n,SV846: n > n] :
( ( ( c0
= ( c_plus @ ( SV846 @ c0 ) @ ( SV847 @ c0 ) ) )
= $false )
| ( ( SV12
= ( c_plus @ ( SV846 @ SV12 ) @ ( SV847 @ SV12 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV846
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV846 @ SX0 ) @ ( SV847 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
@ ( SV847
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV846 @ SX0 ) @ ( SV847 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV846 @ SX0 ) @ ( SV847 @ SX0 ) )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV846 @ SX0 ) @ ( SV847 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(287,plain,
! [SV12: n,SV992: n > n,SV1016: n > n,SV1003: n > n,SV1017: n > n] :
( ( ( ( cS
@ ( c_plus
@ ( SV1016
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1016 @ SX0 ) @ ( SV1017 @ SX0 ) ) ) ) )
@ ( SV1017
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1016 @ SX0 ) @ ( SV1017 @ SX0 ) ) ) ) ) ) )
= ( c_plus
@ ( SV992
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1016 @ SX0 ) @ ( SV1017 @ SX0 ) ) ) ) )
@ ( cS
@ ( SV1003
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1016 @ SX0 ) @ ( SV1017 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( cS @ ( c_plus @ ( SV1016 @ SV12 ) @ ( SV1017 @ SV12 ) ) )
= ( c_plus @ ( SV992 @ SV12 ) @ ( cS @ ( SV1003 @ SV12 ) ) ) )
= $true )
| ( ( ( SV1017 @ c0 )
= ( SV1003 @ c0 ) )
= $false )
| ( ( ( SV1016 @ c0 )
= ( SV992 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV13,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1016 @ SX0 ) @ ( SV1017 @ SX0 ) ) ) )),bind(SV9,$thf( SV1003 @ c0 )),bind(SV10,$thf( SV992 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) ) ))]]) ).
thf(288,plain,
! [SV12: n,SV1017: n > n,SV1003: n > n,SV992: n > n,SV1016: n > n] :
( ( ( ( cS
@ ( c_plus
@ ( SV1016
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1016 @ SX0 ) @ ( SV1017 @ SX0 ) ) ) ) )
@ ( SV1017
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1016 @ SX0 ) @ ( SV1017 @ SX0 ) ) ) ) ) ) )
= ( c_plus
@ ( SV992
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1016 @ SX0 ) @ ( SV1017 @ SX0 ) ) ) ) )
@ ( cS
@ ( SV1003
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1016 @ SX0 ) @ ( SV1017 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( cS @ ( c_plus @ ( SV1016 @ SV12 ) @ ( SV1017 @ SV12 ) ) )
= ( c_plus @ ( SV992 @ SV12 ) @ ( cS @ ( SV1003 @ SV12 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1016 @ c0 ) @ ( SV1017 @ c0 ) )
= ( c_plus @ ( SV992 @ c0 ) @ ( SV1003 @ c0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV13,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1016 @ SX0 ) @ ( SV1017 @ SX0 ) ) ) )),bind(SV9,$thf( SV1003 @ c0 )),bind(SV10,$thf( SV992 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) ) ))]]) ).
thf(289,plain,
! [SV12: n,SV1003: n > n,SV992: n > n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
= ( c_plus
@ ( SV992
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
@ ( cS
@ ( SV1003
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( cS @ SV12 )
= ( c_plus @ ( SV992 @ SV12 ) @ ( cS @ ( SV1003 @ SV12 ) ) ) )
= $true )
| ( ( c0
= ( c_plus @ ( SV992 @ c0 ) @ ( SV1003 @ c0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV13,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV9,$thf( SV1003 @ c0 )),bind(SV10,$thf( SV992 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) ) ))]]) ).
thf(290,plain,
! [SV12: n,SV1003: n > n,SV992: n > n,SV1013: n > n] :
( ( ( ( cS
@ ( SV1013
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( SV1013 @ SX0 ) ) ) ) )
= ( c_plus
@ ( SV992
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( SV1013 @ SX0 ) ) ) )
@ ( cS
@ ( SV1003
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( SV1013 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( cS @ ( SV1013 @ SV12 ) )
= ( c_plus @ ( SV992 @ SV12 ) @ ( cS @ ( SV1003 @ SV12 ) ) ) )
= $true )
| ( ( ( cS @ ( SV1013 @ c0 ) )
= ( cS @ ( c_plus @ ( SV992 @ c0 ) @ ( SV1003 @ c0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV13,$thf( ^ [SX0: n] : ( cS @ ( SV1013 @ SX0 ) ) )),bind(SV9,$thf( SV1003 @ c0 )),bind(SV10,$thf( SV992 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) ) ))]]) ).
thf(291,plain,
! [SV12: n,SV1003: n > n,SV992: n > n] :
( ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( SV992
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) )
@ ( cS
@ ( SV1003
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) ) ) )
= $true )
| ( ( SV12
= ( c_plus @ ( SV992 @ SV12 ) @ ( cS @ ( SV1003 @ SV12 ) ) ) )
= $true )
| ( ( c0
= ( cS @ ( c_plus @ ( SV992 @ c0 ) @ ( SV1003 @ c0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV9,$thf( SV1003 @ c0 )),bind(SV10,$thf( SV992 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) ) ))]]) ).
thf(292,plain,
! [SV12: n,SV1024: n > n,SV1003: n > n,SV992: n > n,SV1023: n > n] :
( ( ( ( cS
@ ( c_plus
@ ( SV1023
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1023 @ SX0 ) @ ( SV1024 @ SX0 ) ) ) ) )
@ ( SV1024
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1023 @ SX0 ) @ ( SV1024 @ SX0 ) ) ) ) ) ) )
= ( c_plus
@ ( SV992
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1023 @ SX0 ) @ ( SV1024 @ SX0 ) ) ) ) )
@ ( cS
@ ( SV1003
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1023 @ SX0 ) @ ( SV1024 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( cS @ ( c_plus @ ( SV1023 @ SV12 ) @ ( SV1024 @ SV12 ) ) )
= ( c_plus @ ( SV992 @ SV12 ) @ ( cS @ ( SV1003 @ SV12 ) ) ) )
= $true )
| ( ( ( cS @ ( SV1003 @ c0 ) )
= ( cS @ ( SV1024 @ c0 ) ) )
= $false )
| ( ( ( SV1023 @ c0 )
= ( SV992 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV9,$thf( SV1024 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1023 @ SX0 ) @ ( SV1024 @ SX0 ) ) ) )),bind(SV10,$thf( SV992 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) ) ))]]) ).
thf(293,plain,
! [SV9: n,SV12: n,SV1024: n > n,SV1003: n > n,SV992: n > n,SV1023: n > n] :
( ( ( ( cS
@ ( c_plus
@ ( SV1023
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1023 @ SX0 ) @ ( SV1024 @ SX0 ) ) ) ) )
@ ( SV1024
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1023 @ SX0 ) @ ( SV1024 @ SX0 ) ) ) ) ) ) )
= ( c_plus
@ ( SV992
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1023 @ SX0 ) @ ( SV1024 @ SX0 ) ) ) ) )
@ ( cS
@ ( SV1003
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1023 @ SX0 ) @ ( SV1024 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( cS @ ( c_plus @ ( SV1023 @ SV12 ) @ ( SV1024 @ SV12 ) ) )
= ( c_plus @ ( SV992 @ SV12 ) @ ( cS @ ( SV1003 @ SV12 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1023 @ c0 ) @ ( SV1024 @ c0 ) )
= ( c_plus @ ( SV992 @ c0 ) @ SV9 ) )
= $false )
| ( ( ( cS @ ( SV1003 @ c0 ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV13,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1023 @ SX0 ) @ ( SV1024 @ SX0 ) ) ) )),bind(SV10,$thf( SV992 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) ) ))]]) ).
thf(294,plain,
! [SV9: n,SV12: n,SV1003: n > n,SV992: n > n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
= ( c_plus
@ ( SV992
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
@ ( cS
@ ( SV1003
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( cS @ SV12 )
= ( c_plus @ ( SV992 @ SV12 ) @ ( cS @ ( SV1003 @ SV12 ) ) ) )
= $true )
| ( ( c0
= ( c_plus @ ( SV992 @ c0 ) @ SV9 ) )
= $false )
| ( ( ( cS @ ( SV1003 @ c0 ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV13,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV10,$thf( SV992 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) ) ))]]) ).
thf(295,plain,
! [SV9: n,SV12: n,SV1003: n > n,SV992: n > n,SV1020: n > n] :
( ( ( ( cS
@ ( SV1020
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( SV1020 @ SX0 ) ) ) ) )
= ( c_plus
@ ( SV992
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( SV1020 @ SX0 ) ) ) )
@ ( cS
@ ( SV1003
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( SV1020 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( cS @ ( SV1020 @ SV12 ) )
= ( c_plus @ ( SV992 @ SV12 ) @ ( cS @ ( SV1003 @ SV12 ) ) ) )
= $true )
| ( ( ( cS @ ( SV1020 @ c0 ) )
= ( cS @ ( c_plus @ ( SV992 @ c0 ) @ SV9 ) ) )
= $false )
| ( ( ( cS @ ( SV1003 @ c0 ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV13,$thf( ^ [SX0: n] : ( cS @ ( SV1020 @ SX0 ) ) )),bind(SV10,$thf( SV992 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) ) ))]]) ).
thf(296,plain,
! [SV9: n,SV12: n,SV1003: n > n,SV992: n > n] :
( ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( SV992
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) )
@ ( cS
@ ( SV1003
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) ) ) )
= $true )
| ( ( SV12
= ( c_plus @ ( SV992 @ SV12 ) @ ( cS @ ( SV1003 @ SV12 ) ) ) )
= $true )
| ( ( c0
= ( cS @ ( c_plus @ ( SV992 @ c0 ) @ SV9 ) ) )
= $false )
| ( ( ( cS @ ( SV1003 @ c0 ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV10,$thf( SV992 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( cS @ ( SV1003 @ SX0 ) ) ) ))]]) ).
thf(297,plain,
! [SV12: n,SV1010: n > n,SV992: n > n,SV1009: n > n] :
( ( ( ( cS
@ ( c_plus
@ ( SV1009
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1009 @ SX0 ) @ ( SV1010 @ SX0 ) ) ) ) )
@ ( SV1010
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1009 @ SX0 ) @ ( SV1010 @ SX0 ) ) ) ) ) ) )
= ( c_plus
@ ( SV992
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1009 @ SX0 ) @ ( SV1010 @ SX0 ) ) ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1009 @ SX0 ) @ ( SV1010 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( cS @ ( c_plus @ ( SV1009 @ SV12 ) @ ( SV1010 @ SV12 ) ) )
= ( c_plus @ ( SV992 @ SV12 ) @ SV12 ) )
= $true )
| ( ( c0
= ( cS @ ( SV1010 @ c0 ) ) )
= $false )
| ( ( ( SV1009 @ c0 )
= ( SV992 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV9,$thf( SV1010 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1009 @ SX0 ) @ ( SV1010 @ SX0 ) ) ) )),bind(SV10,$thf( SV992 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 ) ))]]) ).
thf(298,plain,
! [SV9: n,SV12: n,SV1010: n > n,SV992: n > n,SV1009: n > n] :
( ( ( ( cS
@ ( c_plus
@ ( SV1009
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1009 @ SX0 ) @ ( SV1010 @ SX0 ) ) ) ) )
@ ( SV1010
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1009 @ SX0 ) @ ( SV1010 @ SX0 ) ) ) ) ) ) )
= ( c_plus
@ ( SV992
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1009 @ SX0 ) @ ( SV1010 @ SX0 ) ) ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1009 @ SX0 ) @ ( SV1010 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( cS @ ( c_plus @ ( SV1009 @ SV12 ) @ ( SV1010 @ SV12 ) ) )
= ( c_plus @ ( SV992 @ SV12 ) @ SV12 ) )
= $true )
| ( ( ( c_plus @ ( SV1009 @ c0 ) @ ( SV1010 @ c0 ) )
= ( c_plus @ ( SV992 @ c0 ) @ SV9 ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV13,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1009 @ SX0 ) @ ( SV1010 @ SX0 ) ) ) )),bind(SV10,$thf( SV992 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 ) ))]]) ).
thf(299,plain,
! [SV9: n,SV12: n,SV992: n > n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
= ( c_plus
@ ( SV992
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) )
= $true )
| ( ( ( cS @ SV12 )
= ( c_plus @ ( SV992 @ SV12 ) @ SV12 ) )
= $true )
| ( ( c0
= ( c_plus @ ( SV992 @ c0 ) @ SV9 ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV13,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV10,$thf( SV992 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 ) ))]]) ).
thf(300,plain,
! [SV9: n,SV12: n,SV992: n > n,SV1006: n > n] :
( ( ( ( cS
@ ( SV1006
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( SV1006 @ SX0 ) ) ) ) )
= ( c_plus
@ ( SV992
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( SV1006 @ SX0 ) ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( SV1006 @ SX0 ) ) ) ) )
= $true )
| ( ( ( cS @ ( SV1006 @ SV12 ) )
= ( c_plus @ ( SV992 @ SV12 ) @ SV12 ) )
= $true )
| ( ( ( cS @ ( SV1006 @ c0 ) )
= ( cS @ ( c_plus @ ( SV992 @ c0 ) @ SV9 ) ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV13,$thf( ^ [SX0: n] : ( cS @ ( SV1006 @ SX0 ) ) )),bind(SV10,$thf( SV992 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 ) ))]]) ).
thf(301,plain,
! [SV9: n,SV12: n,SV992: n > n] :
( ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( SV992
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
= $true )
| ( ( SV12
= ( c_plus @ ( SV992 @ SV12 ) @ SV12 ) )
= $true )
| ( ( c0
= ( cS @ ( c_plus @ ( SV992 @ c0 ) @ SV9 ) ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV10,$thf( SV992 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ SX0 ) ))]]) ).
thf(302,plain,
! [SV12: n,SV1031: n > n,SV993: n > n,SV992: n > n,SV1030: n > n] :
( ( ( ( cS
@ ( c_plus
@ ( SV1030
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1030 @ SX0 ) @ ( SV1031 @ SX0 ) ) ) ) )
@ ( SV1031
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1030 @ SX0 ) @ ( SV1031 @ SX0 ) ) ) ) ) ) )
= ( c_plus
@ ( SV992
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1030 @ SX0 ) @ ( SV1031 @ SX0 ) ) ) ) )
@ ( SV993
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1030 @ SX0 ) @ ( SV1031 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( cS @ ( c_plus @ ( SV1030 @ SV12 ) @ ( SV1031 @ SV12 ) ) )
= ( c_plus @ ( SV992 @ SV12 ) @ ( SV993 @ SV12 ) ) )
= $true )
| ( ( ( c_plus @ ( SV992 @ c0 ) @ ( SV993 @ c0 ) )
= ( c_plus @ ( SV1030 @ c0 ) @ ( cS @ ( SV1031 @ c0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV9,$thf( SV1031 @ c0 )),bind(SV10,$thf( SV1030 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1030 @ SX0 ) @ ( SV1031 @ SX0 ) ) ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) ) ))]]) ).
thf(303,plain,
! [SV9: n,SV10: n,SV12: n,SV1031: n > n,SV993: n > n,SV992: n > n,SV1030: n > n] :
( ( ( ( cS
@ ( c_plus
@ ( SV1030
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1030 @ SX0 ) @ ( SV1031 @ SX0 ) ) ) ) )
@ ( SV1031
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1030 @ SX0 ) @ ( SV1031 @ SX0 ) ) ) ) ) ) )
= ( c_plus
@ ( SV992
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1030 @ SX0 ) @ ( SV1031 @ SX0 ) ) ) ) )
@ ( SV993
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1030 @ SX0 ) @ ( SV1031 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( cS @ ( c_plus @ ( SV1030 @ SV12 ) @ ( SV1031 @ SV12 ) ) )
= ( c_plus @ ( SV992 @ SV12 ) @ ( SV993 @ SV12 ) ) )
= $true )
| ( ( ( c_plus @ ( SV1030 @ c0 ) @ ( SV1031 @ c0 ) )
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( ( c_plus @ ( SV992 @ c0 ) @ ( SV993 @ c0 ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV13,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1030 @ SX0 ) @ ( SV1031 @ SX0 ) ) ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) ) ))]]) ).
thf(304,plain,
! [SV9: n,SV10: n,SV12: n,SV993: n > n,SV992: n > n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
= ( c_plus
@ ( SV992
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
@ ( SV993
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) ) )
= $true )
| ( ( ( cS @ SV12 )
= ( c_plus @ ( SV992 @ SV12 ) @ ( SV993 @ SV12 ) ) )
= $true )
| ( ( c0
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( ( c_plus @ ( SV992 @ c0 ) @ ( SV993 @ c0 ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV13,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) ) ))]]) ).
thf(305,plain,
! [SV9: n,SV10: n,SV12: n,SV993: n > n,SV992: n > n,SV1027: n > n] :
( ( ( ( cS
@ ( SV1027
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( SV1027 @ SX0 ) ) ) ) )
= ( c_plus
@ ( SV992
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( SV1027 @ SX0 ) ) ) )
@ ( SV993
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( SV1027 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( cS @ ( SV1027 @ SV12 ) )
= ( c_plus @ ( SV992 @ SV12 ) @ ( SV993 @ SV12 ) ) )
= $true )
| ( ( ( cS @ ( SV1027 @ c0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus @ ( SV992 @ c0 ) @ ( SV993 @ c0 ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV13,$thf( ^ [SX0: n] : ( cS @ ( SV1027 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) ) ))]]) ).
thf(306,plain,
! [SV9: n,SV10: n,SV12: n,SV993: n > n,SV992: n > n] :
( ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( SV992
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
@ ( SV993
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) )
= $true )
| ( ( SV12
= ( c_plus @ ( SV992 @ SV12 ) @ ( SV993 @ SV12 ) ) )
= $true )
| ( ( c0
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus @ ( SV992 @ c0 ) @ ( SV993 @ c0 ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV13,$thf( ^ [SX0: n] : SX0 )),bind(SV11,$thf( ^ [SX0: n] : ( c_plus @ ( SV992 @ SX0 ) @ ( SV993 @ SX0 ) ) ))]]) ).
thf(307,plain,
! [SV12: n,SV1000: n > n,SV999: n > n] :
( ( ( ( cS
@ ( c_plus
@ ( SV999
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV999 @ SX0 ) @ ( SV1000 @ SX0 ) ) ) ) )
@ ( SV1000
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV999 @ SX0 ) @ ( SV1000 @ SX0 ) ) ) ) ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV999 @ SX0 ) @ ( SV1000 @ SX0 ) ) ) ) )
= $true )
| ( ( ( cS @ ( c_plus @ ( SV999 @ SV12 ) @ ( SV1000 @ SV12 ) ) )
= SV12 )
= $true )
| ( ( c0
= ( c_plus @ ( SV999 @ c0 ) @ ( cS @ ( SV1000 @ c0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV9,$thf( SV1000 @ c0 )),bind(SV10,$thf( SV999 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV999 @ SX0 ) @ ( SV1000 @ SX0 ) ) ) )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(308,plain,
! [SV9: n,SV10: n,SV12: n,SV1000: n > n,SV999: n > n] :
( ( ( ( cS
@ ( c_plus
@ ( SV999
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV999 @ SX0 ) @ ( SV1000 @ SX0 ) ) ) ) )
@ ( SV1000
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV999 @ SX0 ) @ ( SV1000 @ SX0 ) ) ) ) ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV999 @ SX0 ) @ ( SV1000 @ SX0 ) ) ) ) )
= $true )
| ( ( ( cS @ ( c_plus @ ( SV999 @ SV12 ) @ ( SV1000 @ SV12 ) ) )
= SV12 )
= $true )
| ( ( ( c_plus @ ( SV999 @ c0 ) @ ( SV1000 @ c0 ) )
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV13,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV999 @ SX0 ) @ ( SV1000 @ SX0 ) ) ) )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(309,plain,
! [SV9: n,SV10: n,SV12: n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
= $true )
| ( ( ( cS @ SV12 )
= SV12 )
= $true )
| ( ( c0
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV13,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(310,plain,
! [SV9: n,SV10: n,SV12: n,SV996: n > n] :
( ( ( ( cS
@ ( SV996
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( SV996 @ SX0 ) ) ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( SV996 @ SX0 ) ) ) )
= $true )
| ( ( ( cS @ ( SV996 @ SV12 ) )
= SV12 )
= $true )
| ( ( ( cS @ ( SV996 @ c0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV13,$thf( ^ [SX0: n] : ( cS @ ( SV996 @ SX0 ) ) )),bind(SV11,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(312,plain,
! [SV12: n,SV1034: n > n,SV1058: n > n,SV1045: n > n,SV1059: n > n] :
( ( ( ( c_plus
@ ( SV1034
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1058 @ SX0 ) @ ( SV1059 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) )
@ ( cS
@ ( SV1045
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1058 @ SX0 ) @ ( SV1059 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV1058
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1058 @ SX0 ) @ ( SV1059 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) )
@ ( SV1059
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1058 @ SX0 ) @ ( SV1059 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1034 @ SV12 ) @ ( cS @ ( SV1045 @ SV12 ) ) )
= ( cS @ ( c_plus @ ( SV1058 @ SV12 ) @ ( SV1059 @ SV12 ) ) ) )
= $true )
| ( ( ( SV1059 @ c0 )
= ( SV1045 @ c0 ) )
= $false )
| ( ( ( SV1058 @ c0 )
= ( SV1034 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV11,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1058 @ SX0 ) @ ( SV1059 @ SX0 ) ) ) )),bind(SV9,$thf( SV1045 @ c0 )),bind(SV10,$thf( SV1034 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ))]]) ).
thf(313,plain,
! [SV12: n,SV1045: n > n,SV1059: n > n,SV1058: n > n,SV1034: n > n] :
( ( ( ( c_plus
@ ( SV1034
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1058 @ SX0 ) @ ( SV1059 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) )
@ ( cS
@ ( SV1045
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1058 @ SX0 ) @ ( SV1059 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV1058
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1058 @ SX0 ) @ ( SV1059 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) )
@ ( SV1059
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1058 @ SX0 ) @ ( SV1059 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1034 @ SV12 ) @ ( cS @ ( SV1045 @ SV12 ) ) )
= ( cS @ ( c_plus @ ( SV1058 @ SV12 ) @ ( SV1059 @ SV12 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1058 @ c0 ) @ ( SV1059 @ c0 ) )
= ( c_plus @ ( SV1034 @ c0 ) @ ( SV1045 @ c0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV11,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1058 @ SX0 ) @ ( SV1059 @ SX0 ) ) ) )),bind(SV9,$thf( SV1045 @ c0 )),bind(SV10,$thf( SV1034 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ))]]) ).
thf(314,plain,
! [SV12: n,SV1045: n > n,SV1034: n > n] :
( ( ( ( c_plus
@ ( SV1034
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) )
@ ( cS
@ ( SV1045
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1034 @ SV12 ) @ ( cS @ ( SV1045 @ SV12 ) ) )
= ( cS @ SV12 ) )
= $true )
| ( ( c0
= ( c_plus @ ( SV1034 @ c0 ) @ ( SV1045 @ c0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV11,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV9,$thf( SV1045 @ c0 )),bind(SV10,$thf( SV1034 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ))]]) ).
thf(315,plain,
! [SV12: n,SV1045: n > n,SV1055: n > n,SV1034: n > n] :
( ( ( ( c_plus
@ ( SV1034
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV1055 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) )
@ ( cS
@ ( SV1045
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV1055 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) ) ) )
= ( cS
@ ( SV1055
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV1055 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1034 @ SV12 ) @ ( cS @ ( SV1045 @ SV12 ) ) )
= ( cS @ ( SV1055 @ SV12 ) ) )
= $true )
| ( ( ( cS @ ( SV1055 @ c0 ) )
= ( cS @ ( c_plus @ ( SV1034 @ c0 ) @ ( SV1045 @ c0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV11,$thf( ^ [SX0: n] : ( cS @ ( SV1055 @ SX0 ) ) )),bind(SV9,$thf( SV1045 @ c0 )),bind(SV10,$thf( SV1034 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ))]]) ).
thf(316,plain,
! [SV12: n,SV1045: n > n,SV1034: n > n] :
( ( ( ( c_plus
@ ( SV1034
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) )
@ ( cS
@ ( SV1045
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1034 @ SV12 ) @ ( cS @ ( SV1045 @ SV12 ) ) )
= SV12 )
= $true )
| ( ( c0
= ( cS @ ( c_plus @ ( SV1034 @ c0 ) @ ( SV1045 @ c0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV9,$thf( SV1045 @ c0 )),bind(SV10,$thf( SV1034 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ))]]) ).
thf(317,plain,
! [SV12: n,SV1045: n > n,SV1066: n > n,SV1034: n > n,SV1065: n > n] :
( ( ( ( c_plus
@ ( SV1034
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1065 @ SX0 ) @ ( SV1066 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) )
@ ( cS
@ ( SV1045
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1065 @ SX0 ) @ ( SV1066 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV1065
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1065 @ SX0 ) @ ( SV1066 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) )
@ ( SV1066
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1065 @ SX0 ) @ ( SV1066 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1034 @ SV12 ) @ ( cS @ ( SV1045 @ SV12 ) ) )
= ( cS @ ( c_plus @ ( SV1065 @ SV12 ) @ ( SV1066 @ SV12 ) ) ) )
= $true )
| ( ( ( cS @ ( SV1045 @ c0 ) )
= ( cS @ ( SV1066 @ c0 ) ) )
= $false )
| ( ( ( SV1065 @ c0 )
= ( SV1034 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV9,$thf( SV1066 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1065 @ SX0 ) @ ( SV1066 @ SX0 ) ) ) )),bind(SV10,$thf( SV1034 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ))]]) ).
thf(318,plain,
! [SV9: n,SV12: n,SV1045: n > n,SV1066: n > n,SV1065: n > n,SV1034: n > n] :
( ( ( ( c_plus
@ ( SV1034
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1065 @ SX0 ) @ ( SV1066 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) )
@ ( cS
@ ( SV1045
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1065 @ SX0 ) @ ( SV1066 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV1065
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1065 @ SX0 ) @ ( SV1066 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) )
@ ( SV1066
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1065 @ SX0 ) @ ( SV1066 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1034 @ SV12 ) @ ( cS @ ( SV1045 @ SV12 ) ) )
= ( cS @ ( c_plus @ ( SV1065 @ SV12 ) @ ( SV1066 @ SV12 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1065 @ c0 ) @ ( SV1066 @ c0 ) )
= ( c_plus @ ( SV1034 @ c0 ) @ SV9 ) )
= $false )
| ( ( ( cS @ ( SV1045 @ c0 ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV11,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1065 @ SX0 ) @ ( SV1066 @ SX0 ) ) ) )),bind(SV10,$thf( SV1034 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ))]]) ).
thf(319,plain,
! [SV9: n,SV12: n,SV1045: n > n,SV1034: n > n] :
( ( ( ( c_plus
@ ( SV1034
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) )
@ ( cS
@ ( SV1045
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1034 @ SV12 ) @ ( cS @ ( SV1045 @ SV12 ) ) )
= ( cS @ SV12 ) )
= $true )
| ( ( c0
= ( c_plus @ ( SV1034 @ c0 ) @ SV9 ) )
= $false )
| ( ( ( cS @ ( SV1045 @ c0 ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV11,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV10,$thf( SV1034 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ))]]) ).
thf(320,plain,
! [SV9: n,SV12: n,SV1045: n > n,SV1062: n > n,SV1034: n > n] :
( ( ( ( c_plus
@ ( SV1034
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV1062 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) )
@ ( cS
@ ( SV1045
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV1062 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) ) ) )
= ( cS
@ ( SV1062
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV1062 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1034 @ SV12 ) @ ( cS @ ( SV1045 @ SV12 ) ) )
= ( cS @ ( SV1062 @ SV12 ) ) )
= $true )
| ( ( ( cS @ ( SV1062 @ c0 ) )
= ( cS @ ( c_plus @ ( SV1034 @ c0 ) @ SV9 ) ) )
= $false )
| ( ( ( cS @ ( SV1045 @ c0 ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV11,$thf( ^ [SX0: n] : ( cS @ ( SV1062 @ SX0 ) ) )),bind(SV10,$thf( SV1034 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ))]]) ).
thf(321,plain,
! [SV9: n,SV12: n,SV1045: n > n,SV1034: n > n] :
( ( ( ( c_plus
@ ( SV1034
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) )
@ ( cS
@ ( SV1045
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1034 @ SV12 ) @ ( cS @ ( SV1045 @ SV12 ) ) )
= SV12 )
= $true )
| ( ( c0
= ( cS @ ( c_plus @ ( SV1034 @ c0 ) @ SV9 ) ) )
= $false )
| ( ( ( cS @ ( SV1045 @ c0 ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV10,$thf( SV1034 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( cS @ ( SV1045 @ SX0 ) ) ) ))]]) ).
thf(322,plain,
! [SV12: n,SV1052: n > n,SV1034: n > n,SV1051: n > n] :
( ( ( ( c_plus
@ ( SV1034
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1051 @ SX0 ) @ ( SV1052 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1051 @ SX0 ) @ ( SV1052 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ) )
= ( cS
@ ( c_plus
@ ( SV1051
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1051 @ SX0 ) @ ( SV1052 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ) )
@ ( SV1052
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1051 @ SX0 ) @ ( SV1052 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1034 @ SV12 ) @ SV12 )
= ( cS @ ( c_plus @ ( SV1051 @ SV12 ) @ ( SV1052 @ SV12 ) ) ) )
= $true )
| ( ( c0
= ( cS @ ( SV1052 @ c0 ) ) )
= $false )
| ( ( ( SV1051 @ c0 )
= ( SV1034 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV9,$thf( SV1052 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1051 @ SX0 ) @ ( SV1052 @ SX0 ) ) ) )),bind(SV10,$thf( SV1034 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ))]]) ).
thf(323,plain,
! [SV9: n,SV12: n,SV1052: n > n,SV1051: n > n,SV1034: n > n] :
( ( ( ( c_plus
@ ( SV1034
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1051 @ SX0 ) @ ( SV1052 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1051 @ SX0 ) @ ( SV1052 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ) )
= ( cS
@ ( c_plus
@ ( SV1051
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1051 @ SX0 ) @ ( SV1052 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ) )
@ ( SV1052
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1051 @ SX0 ) @ ( SV1052 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1034 @ SV12 ) @ SV12 )
= ( cS @ ( c_plus @ ( SV1051 @ SV12 ) @ ( SV1052 @ SV12 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1051 @ c0 ) @ ( SV1052 @ c0 ) )
= ( c_plus @ ( SV1034 @ c0 ) @ SV9 ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV11,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1051 @ SX0 ) @ ( SV1052 @ SX0 ) ) ) )),bind(SV10,$thf( SV1034 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ))]]) ).
thf(324,plain,
! [SV9: n,SV12: n,SV1034: n > n] :
( ( ( ( c_plus
@ ( SV1034
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1034 @ SV12 ) @ SV12 )
= ( cS @ SV12 ) )
= $true )
| ( ( c0
= ( c_plus @ ( SV1034 @ c0 ) @ SV9 ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV11,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV10,$thf( SV1034 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ))]]) ).
thf(325,plain,
! [SV9: n,SV12: n,SV1048: n > n,SV1034: n > n] :
( ( ( ( c_plus
@ ( SV1034
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV1048 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV1048 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ) )
= ( cS
@ ( SV1048
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV1048 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1034 @ SV12 ) @ SV12 )
= ( cS @ ( SV1048 @ SV12 ) ) )
= $true )
| ( ( ( cS @ ( SV1048 @ c0 ) )
= ( cS @ ( c_plus @ ( SV1034 @ c0 ) @ SV9 ) ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV11,$thf( ^ [SX0: n] : ( cS @ ( SV1048 @ SX0 ) ) )),bind(SV10,$thf( SV1034 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ))]]) ).
thf(326,plain,
! [SV9: n,SV12: n,SV1034: n > n] :
( ( ( ( c_plus
@ ( SV1034
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ) )
= $true )
| ( ( ( c_plus @ ( SV1034 @ SV12 ) @ SV12 )
= SV12 )
= $true )
| ( ( c0
= ( cS @ ( c_plus @ ( SV1034 @ c0 ) @ SV9 ) ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV10,$thf( SV1034 @ c0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ SX0 ) ))]]) ).
thf(327,plain,
! [SV12: n,SV1035: n > n,SV1073: n > n,SV1072: n > n,SV1034: n > n] :
( ( ( ( c_plus
@ ( SV1034
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1072 @ SX0 ) @ ( SV1073 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ) )
@ ( SV1035
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1072 @ SX0 ) @ ( SV1073 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV1072
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1072 @ SX0 ) @ ( SV1073 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ) )
@ ( SV1073
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1072 @ SX0 ) @ ( SV1073 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1034 @ SV12 ) @ ( SV1035 @ SV12 ) )
= ( cS @ ( c_plus @ ( SV1072 @ SV12 ) @ ( SV1073 @ SV12 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1034 @ c0 ) @ ( SV1035 @ c0 ) )
= ( c_plus @ ( SV1072 @ c0 ) @ ( cS @ ( SV1073 @ c0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV9,$thf( SV1073 @ c0 )),bind(SV10,$thf( SV1072 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1072 @ SX0 ) @ ( SV1073 @ SX0 ) ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ))]]) ).
thf(328,plain,
! [SV9: n,SV10: n,SV12: n,SV1035: n > n,SV1073: n > n,SV1072: n > n,SV1034: n > n] :
( ( ( ( c_plus
@ ( SV1034
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1072 @ SX0 ) @ ( SV1073 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ) )
@ ( SV1035
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1072 @ SX0 ) @ ( SV1073 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV1072
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1072 @ SX0 ) @ ( SV1073 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ) )
@ ( SV1073
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1072 @ SX0 ) @ ( SV1073 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1034 @ SV12 ) @ ( SV1035 @ SV12 ) )
= ( cS @ ( c_plus @ ( SV1072 @ SV12 ) @ ( SV1073 @ SV12 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1072 @ c0 ) @ ( SV1073 @ c0 ) )
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( ( c_plus @ ( SV1034 @ c0 ) @ ( SV1035 @ c0 ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV11,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1072 @ SX0 ) @ ( SV1073 @ SX0 ) ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ))]]) ).
thf(329,plain,
! [SV9: n,SV10: n,SV12: n,SV1035: n > n,SV1034: n > n] :
( ( ( ( c_plus
@ ( SV1034
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ) )
@ ( SV1035
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1034 @ SV12 ) @ ( SV1035 @ SV12 ) )
= ( cS @ SV12 ) )
= $true )
| ( ( c0
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( ( c_plus @ ( SV1034 @ c0 ) @ ( SV1035 @ c0 ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV11,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ))]]) ).
thf(330,plain,
! [SV9: n,SV10: n,SV12: n,SV1035: n > n,SV1069: n > n,SV1034: n > n] :
( ( ( ( c_plus
@ ( SV1034
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV1069 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ) )
@ ( SV1035
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV1069 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ) ) )
= ( cS
@ ( SV1069
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV1069 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1034 @ SV12 ) @ ( SV1035 @ SV12 ) )
= ( cS @ ( SV1069 @ SV12 ) ) )
= $true )
| ( ( ( cS @ ( SV1069 @ c0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus @ ( SV1034 @ c0 ) @ ( SV1035 @ c0 ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV11,$thf( ^ [SX0: n] : ( cS @ ( SV1069 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ))]]) ).
thf(331,plain,
! [SV9: n,SV10: n,SV12: n,SV1035: n > n,SV1034: n > n] :
( ( ( ( c_plus
@ ( SV1034
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ) )
@ ( SV1035
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1034 @ SV12 ) @ ( SV1035 @ SV12 ) )
= SV12 )
= $true )
| ( ( c0
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus @ ( SV1034 @ c0 ) @ ( SV1035 @ c0 ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV11,$thf( ^ [SX0: n] : SX0 )),bind(SV13,$thf( ^ [SX0: n] : ( c_plus @ ( SV1034 @ SX0 ) @ ( SV1035 @ SX0 ) ) ))]]) ).
thf(332,plain,
! [SV12: n,SV1042: n > n,SV1041: n > n] :
( ( ( ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1041 @ SX0 ) @ ( SV1042 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 )
= ( cS
@ ( c_plus
@ ( SV1041
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1041 @ SX0 ) @ ( SV1042 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) )
@ ( SV1042
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1041 @ SX0 ) @ ( SV1042 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) ) ) )
= $true )
| ( ( SV12
= ( cS @ ( c_plus @ ( SV1041 @ SV12 ) @ ( SV1042 @ SV12 ) ) ) )
= $true )
| ( ( c0
= ( c_plus @ ( SV1041 @ c0 ) @ ( cS @ ( SV1042 @ c0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV9,$thf( SV1042 @ c0 )),bind(SV10,$thf( SV1041 @ c0 )),bind(SV11,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1041 @ SX0 ) @ ( SV1042 @ SX0 ) ) ) )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(333,plain,
! [SV9: n,SV10: n,SV12: n,SV1042: n > n,SV1041: n > n] :
( ( ( ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1041 @ SX0 ) @ ( SV1042 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 )
= ( cS
@ ( c_plus
@ ( SV1041
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1041 @ SX0 ) @ ( SV1042 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) )
@ ( SV1042
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1041 @ SX0 ) @ ( SV1042 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) ) ) )
= $true )
| ( ( SV12
= ( cS @ ( c_plus @ ( SV1041 @ SV12 ) @ ( SV1042 @ SV12 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV1041 @ c0 ) @ ( SV1042 @ c0 ) )
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV11,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV1041 @ SX0 ) @ ( SV1042 @ SX0 ) ) ) )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(334,plain,
! [SV9: n,SV10: n,SV12: n] :
( ( ( ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
= $true )
| ( ( SV12
= ( cS @ SV12 ) )
= $true )
| ( ( c0
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV11,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(335,plain,
! [SV9: n,SV10: n,SV12: n,SV1038: n > n] :
( ( ( ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV1038 @ SX0 ) )
@ ^ [SX0: n] : SX0 )
= ( cS
@ ( SV1038
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV1038 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) )
= $true )
| ( ( SV12
= ( cS @ ( SV1038 @ SV12 ) ) )
= $true )
| ( ( ( cS @ ( SV1038 @ c0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV11,$thf( ^ [SX0: n] : ( cS @ ( SV1038 @ SX0 ) ) )),bind(SV13,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(337,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ SV12 ) )
= $false )
| ( ( ( SV11 @ c0 )
= ( SV13 @ SV12 ) )
= $false ) ),
inference(extuni,[status(esa)],[64]) ).
thf(338,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV11 @ c0 )
= ( SV11 @ SV12 ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV13 @ SV12 ) )
= $false ) ),
inference(extuni,[status(esa)],[64]) ).
thf(339,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV11 @ c0 )
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[63]) ).
thf(340,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV11 @ c0 )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[63]) ).
thf(341,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV11 @ SV12 )
= ( SV13 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[62]) ).
thf(342,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV11 @ SV12 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV13 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[62]) ).
thf(343,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV13 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[61]) ).
thf(344,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV13 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[61]) ).
thf(345,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV11 @ c0 )
= ( SV11 @ SV12 ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV13 @ SV12 ) )
= $false ) ),
inference(sim,[status(thm)],[338]) ).
thf(346,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ SV12 ) )
= $false )
| ( ( ( SV11 @ c0 )
= ( SV13 @ SV12 ) )
= $false ) ),
inference(sim,[status(thm)],[337]) ).
thf(347,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV11 @ c0 )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false ) ),
inference(sim,[status(thm)],[340]) ).
thf(348,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV11 @ c0 )
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false ) ),
inference(sim,[status(thm)],[339]) ).
thf(349,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV11 @ SV12 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV13 @ c0 ) )
= $false ) ),
inference(sim,[status(thm)],[342]) ).
thf(350,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV11 @ SV12 )
= ( SV13 @ c0 ) )
= $false ) ),
inference(sim,[status(thm)],[341]) ).
thf(351,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV13 @ c0 ) )
= $false ) ),
inference(sim,[status(thm)],[344]) ).
thf(352,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV13 @ c0 ) )
= $false ) ),
inference(sim,[status(thm)],[343]) ).
thf(353,plain,
! [SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( c_plus @ c0 @ sK1_Xx )
= sK1_Xx )
= ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[39,60]) ).
thf(354,plain,
! [SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( c_plus @ c0 @ sK1_Xx )
= sK1_Xx )
= ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) ) )
= $false )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[39,60]) ).
thf(355,plain,
! [SV9: n,SV10: n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= sK1_Xx )
= ( ( c_plus @ SV10 @ ( cS @ SV9 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) ) )
= $false ),
inference(res,[status(thm)],[39,42]) ).
thf(356,plain,
! [SV8: n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= sK1_Xx )
= ( ( c_plus @ SV8 @ c0 )
= SV8 ) )
= $false ),
inference(res,[status(thm)],[39,35]) ).
thf(357,plain,
( ( sK1_Xx
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[356:[bind(SV8,$thf( c_plus @ c0 @ sK1_Xx ))]]) ).
thf(358,plain,
( ( ( sK1_Xx = c0 )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[356:[bind(SV8,$thf( c0 ))]]) ).
thf(360,plain,
! [SV9: n,SV10: n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( sK1_Xx
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[355]) ).
thf(361,plain,
! [SV9: n] :
( ( ( sK1_Xx
= ( cS @ ( c_plus @ c0 @ SV9 ) ) )
= $false )
| ( ( sK1_Xx
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[355:[bind(SV10,$thf( c0 ))]]) ).
thf(362,plain,
! [SV9: n,SV10: n] :
( ( ( sK1_Xx
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[355]) ).
thf(363,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( SV11 @ SV12 ) )
= $false )
| ( ( sK1_Xx
= ( SV13 @ SV12 ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[354]) ).
thf(364,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( sK1_Xx
= ( SV11 @ SV12 ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( SV13 @ SV12 ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[354]) ).
thf(365,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( sK1_Xx
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[353]) ).
thf(366,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( sK1_Xx
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[353]) ).
thf(367,plain,
( ( sK1_Xx = c0 )
= $false ),
inference(sim,[status(thm)],[358]) ).
thf(368,plain,
! [SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[40,60]) ).
thf(369,plain,
! [SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) ) )
= $false )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[40,60]) ).
thf(370,plain,
! [SV9: n,SV10: n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= ( ( c_plus @ SV10 @ ( cS @ SV9 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) ) )
= $false ),
inference(res,[status(thm)],[40,42]) ).
thf(371,plain,
! [SV8: n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= ( ( c_plus @ SV8 @ c0 )
= SV8 ) )
= $false ),
inference(res,[status(thm)],[40,35]) ).
thf(372,plain,
( ( ( c0 = sK1_Xx )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[371:[bind(SV8,$thf( c_plus @ c0 @ sK1_Xx ))]]) ).
thf(373,plain,
( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ),
inference(extuni,[status(esa)],[371:[bind(SV8,$thf( c_plus @ c0 @ sK1_Xx ))]]) ).
thf(374,plain,
( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[371:[bind(SV8,$thf( c_plus @ sK1_Xx @ c0 ))]]) ).
thf(375,plain,
( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= sK1_Xx )
= $false ),
inference(extuni,[status(esa)],[371:[bind(SV8,$thf( sK1_Xx ))]]) ).
thf(376,plain,
( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[371:[bind(SV8,$thf( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ))]]) ).
thf(377,plain,
! [SV9: n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( cS @ ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ SV9 ) ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[370:[bind(SV10,$thf( c_plus @ c0 @ sK1_Xx ))]]) ).
thf(378,plain,
! [SV9: n,SV10: n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[370]) ).
thf(379,plain,
! [SV9: n] :
( ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( cS @ ( c_plus @ sK1_Xx @ SV9 ) ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[370:[bind(SV10,$thf( sK1_Xx ))]]) ).
thf(380,plain,
! [SV9: n,SV10: n] :
( ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[370]) ).
thf(381,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( SV11 @ SV12 ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( SV13 @ SV12 ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[369]) ).
thf(382,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( SV11 @ SV12 ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( SV13 @ SV12 ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[369]) ).
thf(383,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[368]) ).
thf(384,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[368]) ).
thf(385,plain,
( ( sK1_Xx
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ),
inference(extuni,[status(esa)],[40]) ).
thf(386,plain,
! [SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ sK1_Xx @ c0 ) )
= ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[51,60]) ).
thf(387,plain,
! [SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ sK1_Xx @ c0 ) )
= ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) ) )
= $false )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[51,60]) ).
thf(388,plain,
! [SV9: n,SV10: n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ sK1_Xx @ c0 ) )
= ( ( c_plus @ SV10 @ ( cS @ SV9 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) ) )
= $false ),
inference(res,[status(thm)],[51,42]) ).
thf(389,plain,
! [SV8: n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ sK1_Xx @ c0 ) )
= ( ( c_plus @ SV8 @ c0 )
= SV8 ) )
= $false ),
inference(res,[status(thm)],[51,35]) ).
thf(390,plain,
( ( ( c_plus @ c0 @ sK1_Xx )
= sK1_Xx )
= $false ),
inference(extuni,[status(esa)],[389:[bind(SV8,$thf( sK1_Xx ))]]) ).
thf(391,plain,
( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[389:[bind(SV8,$thf( c_plus @ c0 @ sK1_Xx ))]]) ).
thf(392,plain,
( ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[389:[bind(SV8,$thf( c0 ))]]) ).
thf(393,plain,
( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[389:[bind(SV8,$thf( c_plus @ sK1_Xx @ c0 ))]]) ).
thf(394,plain,
! [SV9: n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( cS @ ( c_plus @ sK1_Xx @ SV9 ) ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[388:[bind(SV10,$thf( sK1_Xx ))]]) ).
thf(395,plain,
! [SV9: n,SV10: n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[388]) ).
thf(396,plain,
! [SV9: n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( cS @ ( c_plus @ c0 @ SV9 ) ) )
= $false )
| ( ( sK1_Xx
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[388:[bind(SV10,$thf( c0 ))]]) ).
thf(397,plain,
! [SV9: n,SV10: n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[388]) ).
thf(398,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( SV11 @ SV12 ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( SV13 @ SV12 ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[387]) ).
thf(399,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( SV11 @ SV12 ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( SV13 @ SV12 ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[387]) ).
thf(400,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[386]) ).
thf(401,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[386]) ).
thf(402,plain,
( ( ( sK1_Xx = c0 )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[51]) ).
thf(403,plain,
! [SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[52,60]) ).
thf(404,plain,
! [SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) ) )
= $false )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[52,60]) ).
thf(405,plain,
! [SV9: n,SV10: n] :
( ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= ( ( c_plus @ SV10 @ ( cS @ SV9 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) ) )
= $false ),
inference(res,[status(thm)],[52,42]) ).
thf(406,plain,
! [SV8: n] :
( ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= ( ( c_plus @ SV8 @ c0 )
= SV8 ) )
= $false ),
inference(res,[status(thm)],[52,35]) ).
thf(407,plain,
( ( ( c0 = sK1_Xx )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[406:[bind(SV8,$thf( c_plus @ c0 @ sK1_Xx ))]]) ).
thf(408,plain,
( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ),
inference(extuni,[status(esa)],[406:[bind(SV8,$thf( c_plus @ c0 @ sK1_Xx ))]]) ).
thf(409,plain,
( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( c_plus @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[406:[bind(SV8,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ))]]) ).
thf(410,plain,
( ( ( c_plus @ c0 @ sK1_Xx )
= sK1_Xx )
= $false ),
inference(extuni,[status(esa)],[406:[bind(SV8,$thf( c_plus @ sK1_Xx @ c0 ))]]) ).
thf(411,plain,
( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[406:[bind(SV8,$thf( c_plus @ sK1_Xx @ c0 ))]]) ).
thf(412,plain,
( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( c_plus @ ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[406:[bind(SV8,$thf( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ))]]) ).
thf(413,plain,
! [SV9: n] :
( ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( cS @ ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ SV9 ) ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[405:[bind(SV10,$thf( c_plus @ c0 @ sK1_Xx ))]]) ).
thf(414,plain,
! [SV9: n,SV10: n] :
( ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[405]) ).
thf(415,plain,
! [SV9: n] :
( ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( cS @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ SV9 ) ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[405:[bind(SV10,$thf( c_plus @ sK1_Xx @ c0 ))]]) ).
thf(416,plain,
! [SV9: n,SV10: n] :
( ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[405]) ).
thf(417,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( SV11 @ SV12 ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( SV13 @ SV12 ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[404]) ).
thf(418,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( SV11 @ SV12 ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( SV13 @ SV12 ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[404]) ).
thf(419,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[403]) ).
thf(420,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[403]) ).
thf(421,plain,
( ( ( c0 = sK1_Xx )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[52]) ).
thf(422,plain,
( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ),
inference(extuni,[status(esa)],[52]) ).
thf(423,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n] :
( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false ) ),
inference(rename,[status(thm)],[33]) ).
thf(424,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n,SV1074: n > n,SV1075: n,SV1076: n > n] :
( ( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false ) ),
inference(res,[status(thm)],[423,423]) ).
thf(425,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n,SV1074: n > n,SV1075: n,SV1076: n > n] :
( ( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[423,423]) ).
thf(426,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n,SV1074: n > n,SV1075: n,SV1076: n > n] :
( ( ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[423,423]) ).
thf(427,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n,SV1074: n > n,SV1075: n,SV1076: n > n] :
( ( ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[423,423]) ).
thf(428,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n,SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= ( ( SV13 @ c0 )
= ( SV11 @ c0 ) ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true ) ),
inference(res,[status(thm)],[423,60]) ).
thf(429,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n,SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[423,60]) ).
thf(430,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n,SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[423,60]) ).
thf(431,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n,SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[423,60]) ).
thf(432,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n,SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[423,60]) ).
thf(433,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n] :
( ( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[423,52]) ).
thf(434,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n] :
( ( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ sK1_Xx @ c0 ) ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[423,51]) ).
thf(435,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n,SV9: n,SV10: n] :
( ( ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= ( ( c_plus @ SV10 @ ( cS @ SV9 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false ) ),
inference(res,[status(thm)],[423,42]) ).
thf(436,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n,SV9: n,SV10: n] :
( ( ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= ( ( c_plus @ SV10 @ ( cS @ SV9 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[423,42]) ).
thf(437,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n] :
( ( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[423,40]) ).
thf(438,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n] :
( ( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= ( ( c_plus @ c0 @ sK1_Xx )
= sK1_Xx ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[423,39]) ).
thf(439,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n] :
( ( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[423,38]) ).
thf(440,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n,SV8: n] :
( ( ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= ( ( c_plus @ SV8 @ c0 )
= SV8 ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false ) ),
inference(res,[status(thm)],[423,35]) ).
thf(441,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n,SV8: n] :
( ( ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= ( ( c_plus @ SV8 @ c0 )
= SV8 ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[423,35]) ).
thf(442,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n] :
( ( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ c0 @ sK1_Xx ) ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[423,18]) ).
thf(443,plain,
! [SV1173: n > n,SV1172: n > n] :
( ( ( ( c_plus @ ( SV1172 @ c0 ) @ ( SV1173 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV1172
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1172 @ SX0 ) @ ( SV1173 @ SX0 ) ) ) ) )
@ ( SV1173
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1172 @ SX0 ) @ ( SV1173 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1172 @ SX0 ) @ ( SV1173 @ SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1172 @ SX0 ) @ ( SV1173 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1172 @ sK1_Xx ) @ ( SV1173 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1172 @ SX0 ) @ ( SV1173 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(444,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( sK1_Xx
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(445,plain,
! [SV1146: n > n,SV1145: n > n] :
( ( ( ( c_plus @ ( SV1145 @ c0 ) @ ( SV1146 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV1145
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1145 @ SX0 ) @ ( SV1146 @ SX0 ) ) ) ) )
@ ( SV1146
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1145 @ SX0 ) @ ( SV1146 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1145 @ SX0 ) @ ( SV1146 @ SX0 ) ) ) )
@ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1145 @ sK1_Xx ) @ ( SV1146 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1145 @ SX0 ) @ ( SV1146 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(446,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
@ c0 ) )
= $false )
| ( ( sK1_Xx
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(447,plain,
! [SV1120: n > n,SV1119: n > n] :
( ( ( ( c_plus @ ( SV1119 @ c0 ) @ ( SV1120 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV1119
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1119 @ SX0 ) @ ( SV1120 @ SX0 ) ) ) ) )
@ ( SV1120
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1119 @ SX0 ) @ ( SV1120 @ SX0 ) ) ) ) ) )
= ( c_plus @ sK1_Xx
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1119 @ SX0 ) @ ( SV1120 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1119 @ c0 ) @ ( SV1120 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1119 @ SX0 ) @ ( SV1120 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(448,plain,
( ( ( c0
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus @ sK1_Xx
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( c0
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(449,plain,
! [SV1075: n,SV1098: n > n,SV1097: n > n] :
( ( ( ( c_plus @ ( SV1097 @ c0 ) @ ( SV1098 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV1097
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1097 @ SX0 ) @ ( SV1098 @ SX0 ) ) ) ) )
@ ( SV1098
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1097 @ SX0 ) @ ( SV1098 @ SX0 ) ) ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1097 @ SV1075 ) @ ( SV1098 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1097 @ SX0 ) @ ( SV1098 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(450,plain,
( ( ( c0
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(451,plain,
! [SV1079: n > n,SV1080: n > n] :
( ( ( c0
= ( SV1080 @ c0 ) )
= $false )
| ( ( c0
= ( SV1079 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV1080
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV1079
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false )
| ( ( ( c_plus @ ( SV1079 @ c0 ) @ ( SV1080 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) ) ))]]) ).
thf(452,plain,
! [SV1080: n > n,SV1079: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV1079 @ c0 ) @ ( SV1080 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV1080
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV1079
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false )
| ( ( ( c_plus @ ( SV1079 @ c0 ) @ ( SV1080 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) ) ))]]) ).
thf(453,plain,
! [SV1079: n > n,SV1080: n > n] :
( ( ( c0
= ( SV1080 @ c0 ) )
= $false )
| ( ( c0
= ( SV1079 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV1079
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
@ ( SV1080
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false )
| ( ( ( c_plus @ ( SV1079 @ c0 ) @ ( SV1080 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) ) ))]]) ).
thf(454,plain,
! [SV1080: n > n,SV1079: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV1079 @ c0 ) @ ( SV1080 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV1079
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
@ ( SV1080
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false )
| ( ( ( c_plus @ ( SV1079 @ c0 ) @ ( SV1080 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) ) ))]]) ).
thf(455,plain,
! [SV1079: n > n,SV1080: n > n] :
( ( ( sK1_Xx
= ( SV1080 @ c0 ) )
= $false )
| ( ( c0
= ( SV1079 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV1080
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
= ( SV1079
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1079 @ c0 ) @ ( SV1080 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) ) ))]]) ).
thf(456,plain,
! [SV1080: n > n,SV1079: n > n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV1079 @ c0 ) @ ( SV1080 @ c0 ) ) )
= $false )
| ( ( sK1_Xx
= ( SV1080
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
= ( SV1079
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1079 @ c0 ) @ ( SV1080 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) ) ))]]) ).
thf(457,plain,
! [SV1079: n > n,SV1080: n > n] :
( ( ( sK1_Xx
= ( SV1080 @ c0 ) )
= $false )
| ( ( c0
= ( SV1079 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
@ sK1_Xx )
= ( c_plus
@ ( SV1079
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) )
@ ( SV1080
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1079 @ c0 ) @ ( SV1080 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) ) ))]]) ).
thf(458,plain,
! [SV1080: n > n,SV1079: n > n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV1079 @ c0 ) @ ( SV1080 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
@ sK1_Xx )
= ( c_plus
@ ( SV1079
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) )
@ ( SV1080
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1079 @ c0 ) @ ( SV1080 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) ) ))]]) ).
thf(459,plain,
! [SV1079: n > n,SV1080: n > n] :
( ( ( c0
= ( SV1080 @ c0 ) )
= $false )
| ( ( c0
= ( SV1079 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
= ( SV1080
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) )
= $false )
| ( ( c0
= ( SV1079
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1079 @ sK1_Xx ) @ ( SV1080 @ sK1_Xx ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) ) ))]]) ).
thf(460,plain,
! [SV1080: n > n,SV1079: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV1079 @ c0 ) @ ( SV1080 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
= ( SV1080
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) )
= $false )
| ( ( c0
= ( SV1079
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1079 @ sK1_Xx ) @ ( SV1080 @ sK1_Xx ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) ) ))]]) ).
thf(461,plain,
! [SV1079: n > n,SV1080: n > n] :
( ( ( c0
= ( SV1080 @ c0 ) )
= $false )
| ( ( c0
= ( SV1079 @ c0 ) )
= $false )
| ( ( ( c_plus @ c0
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV1079
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
@ ( SV1080
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1079 @ sK1_Xx ) @ ( SV1080 @ sK1_Xx ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) ) ))]]) ).
thf(462,plain,
! [SV1080: n > n,SV1079: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV1079 @ c0 ) @ ( SV1080 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ c0
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV1079
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
@ ( SV1080
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1079 @ sK1_Xx ) @ ( SV1080 @ sK1_Xx ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) ) ))]]) ).
thf(463,plain,
! [SV1075: n,SV1079: n > n,SV1080: n > n] :
( ( ( sK1_Xx
= ( SV1080 @ c0 ) )
= $false )
| ( ( c0
= ( SV1079 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV1080
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( c0
= ( SV1079
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1079 @ SV1075 ) @ ( SV1080 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) ) ))]]) ).
thf(464,plain,
! [SV1075: n,SV1080: n > n,SV1079: n > n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV1079 @ c0 ) @ ( SV1080 @ c0 ) ) )
= $false )
| ( ( sK1_Xx
= ( SV1080
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( c0
= ( SV1079
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1079 @ SV1075 ) @ ( SV1080 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) ) ))]]) ).
thf(465,plain,
! [SV1075: n,SV1079: n > n,SV1080: n > n] :
( ( ( sK1_Xx
= ( SV1080 @ c0 ) )
= $false )
| ( ( c0
= ( SV1079 @ c0 ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus
@ ( SV1079
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) )
@ ( SV1080
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1079 @ SV1075 ) @ ( SV1080 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) ) ))]]) ).
thf(466,plain,
! [SV1075: n,SV1080: n > n,SV1079: n > n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV1079 @ c0 ) @ ( SV1080 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus
@ ( SV1079
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) )
@ ( SV1080
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1079 @ SV1075 ) @ ( SV1080 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) ) ))]]) ).
thf(467,plain,
! [SV1075: n,SV1079: n > n,SV1201: n > n,SV1080: n > n,SV1202: n > n] :
( ( ( ( c_plus @ ( SV1201 @ SV1075 ) @ ( SV1202 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV1079 @ SV1075 ) @ ( SV1080 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( SV1202 @ c0 )
= ( SV1080 @ c0 ) )
= $false )
| ( ( ( SV1201 @ c0 )
= ( SV1079 @ c0 ) )
= $false )
| ( ( ( SV1202
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1201 @ SX0 ) @ ( SV1202 @ SX0 ) ) ) ) )
= ( SV1080
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1201 @ SX0 ) @ ( SV1202 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV1201
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1201 @ SX0 ) @ ( SV1202 @ SX0 ) ) ) ) )
= ( SV1079
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1201 @ SX0 ) @ ( SV1202 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1201 @ SX0 ) @ ( SV1202 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) ) ))]]) ).
thf(468,plain,
! [SV1075: n,SV1201: n > n,SV1080: n > n,SV1079: n > n,SV1202: n > n] :
( ( ( ( c_plus @ ( SV1201 @ c0 ) @ ( SV1202 @ c0 ) )
= ( c_plus @ ( SV1079 @ c0 ) @ ( SV1080 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( SV1201 @ SV1075 ) @ ( SV1202 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV1079 @ SV1075 ) @ ( SV1080 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( SV1202
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1201 @ SX0 ) @ ( SV1202 @ SX0 ) ) ) ) )
= ( SV1080
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1201 @ SX0 ) @ ( SV1202 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV1201
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1201 @ SX0 ) @ ( SV1202 @ SX0 ) ) ) ) )
= ( SV1079
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1201 @ SX0 ) @ ( SV1202 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1201 @ SX0 ) @ ( SV1202 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) ) ))]]) ).
thf(469,plain,
! [SV1075: n,SV1079: n > n,SV1201: n > n,SV1080: n > n,SV1202: n > n] :
( ( ( ( c_plus
@ ( SV1201
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1201 @ SX0 ) @ ( SV1202 @ SX0 ) ) ) ) )
@ ( SV1202
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1201 @ SX0 ) @ ( SV1202 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV1079
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1201 @ SX0 ) @ ( SV1202 @ SX0 ) ) ) ) )
@ ( SV1080
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1201 @ SX0 ) @ ( SV1202 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1201 @ SV1075 ) @ ( SV1202 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV1079 @ SV1075 ) @ ( SV1080 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( SV1202 @ c0 )
= ( SV1080 @ c0 ) )
= $false )
| ( ( ( SV1201 @ c0 )
= ( SV1079 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1201 @ SX0 ) @ ( SV1202 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) ) ))]]) ).
thf(470,plain,
! [SV1075: n,SV1080: n > n,SV1079: n > n,SV1202: n > n,SV1201: n > n] :
( ( ( ( c_plus @ ( SV1201 @ c0 ) @ ( SV1202 @ c0 ) )
= ( c_plus @ ( SV1079 @ c0 ) @ ( SV1080 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( SV1201
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1201 @ SX0 ) @ ( SV1202 @ SX0 ) ) ) ) )
@ ( SV1202
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1201 @ SX0 ) @ ( SV1202 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV1079
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1201 @ SX0 ) @ ( SV1202 @ SX0 ) ) ) ) )
@ ( SV1080
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1201 @ SX0 ) @ ( SV1202 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1201 @ SV1075 ) @ ( SV1202 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV1079 @ SV1075 ) @ ( SV1080 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1201 @ SX0 ) @ ( SV1202 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) ) ))]]) ).
thf(471,plain,
! [SV1080: n > n,SV1079: n > n] :
( ( ( c0
= ( c_plus @ ( SV1079 @ c0 ) @ ( SV1080 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( SV1079
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV1080
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1079 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV1080 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1079 @ SX0 ) @ ( SV1080 @ SX0 ) ) ))]]) ).
thf(472,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= sK1_Xx )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(473,plain,
( ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
@ sK1_Xx )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(474,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ c0
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(475,plain,
( ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(476,plain,
! [SV1084: n > n,SV1083: n > n] :
( ( ( ( c_plus @ ( SV1083 @ c0 ) @ ( SV1084 @ c0 ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV1083
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1083 @ SX0 ) @ ( SV1084 @ SX0 ) ) ) ) )
@ ( SV1084
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1083 @ SX0 ) @ ( SV1084 @ SX0 ) ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1083 @ SX0 ) @ ( SV1084 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1083 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV1084 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1083 @ SX0 ) @ ( SV1084 @ SX0 ) ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(477,plain,
( ( ( c0 = sK1_Xx )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(478,plain,
( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ),
inference(extuni,[status(esa)],[442:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(479,plain,
! [SV1261: n > n,SV1262: n > n] :
( ( ( c0
= ( SV1262 @ c0 ) )
= $false )
| ( ( c0
= ( SV1261 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1261 @ SX0 ) @ ( SV1262 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV1262
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1261 @ SX0 ) @ ( SV1262 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1261 @ SX0 ) @ ( SV1262 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV1261
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1261 @ SX0 ) @ ( SV1262 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1261 @ sK1_Xx ) @ ( SV1262 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1261 @ SX0 ) @ ( SV1262 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(480,plain,
! [SV1262: n > n,SV1261: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV1261 @ c0 ) @ ( SV1262 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1261 @ SX0 ) @ ( SV1262 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV1262
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1261 @ SX0 ) @ ( SV1262 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1261 @ SX0 ) @ ( SV1262 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV1261
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1261 @ SX0 ) @ ( SV1262 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1261 @ sK1_Xx ) @ ( SV1262 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1261 @ SX0 ) @ ( SV1262 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(481,plain,
! [SV1261: n > n,SV1262: n > n] :
( ( ( c0
= ( SV1262 @ c0 ) )
= $false )
| ( ( c0
= ( SV1261 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1261 @ SX0 ) @ ( SV1262 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1261 @ SX0 ) @ ( SV1262 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV1261
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1261 @ SX0 ) @ ( SV1262 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
@ ( SV1262
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1261 @ SX0 ) @ ( SV1262 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1261 @ sK1_Xx ) @ ( SV1262 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1261 @ SX0 ) @ ( SV1262 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(482,plain,
! [SV1262: n > n,SV1261: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV1261 @ c0 ) @ ( SV1262 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1261 @ SX0 ) @ ( SV1262 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1261 @ SX0 ) @ ( SV1262 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV1261
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1261 @ SX0 ) @ ( SV1262 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
@ ( SV1262
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1261 @ SX0 ) @ ( SV1262 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1261 @ sK1_Xx ) @ ( SV1262 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1261 @ SX0 ) @ ( SV1262 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(483,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= $false )
| ( ( sK1_Xx
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(484,plain,
! [SV1251: n > n,SV1252: n > n] :
( ( ( c0
= ( SV1252 @ c0 ) )
= $false )
| ( ( c0
= ( SV1251 @ c0 ) )
= $false )
| ( ( c0
= ( SV1252
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1251 @ SX0 ) @ ( SV1252 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1251 @ SX0 ) @ ( SV1252 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
= ( SV1251
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1251 @ SX0 ) @ ( SV1252 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1251 @ sK1_Xx ) @ ( SV1252 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1251 @ SX0 ) @ ( SV1252 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(485,plain,
! [SV1252: n > n,SV1251: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV1251 @ c0 ) @ ( SV1252 @ c0 ) ) )
= $false )
| ( ( c0
= ( SV1252
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1251 @ SX0 ) @ ( SV1252 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1251 @ SX0 ) @ ( SV1252 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
= ( SV1251
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1251 @ SX0 ) @ ( SV1252 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1251 @ sK1_Xx ) @ ( SV1252 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1251 @ SX0 ) @ ( SV1252 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(486,plain,
! [SV1251: n > n,SV1252: n > n] :
( ( ( c0
= ( SV1252 @ c0 ) )
= $false )
| ( ( c0
= ( SV1251 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1251 @ SX0 ) @ ( SV1252 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( c_plus
@ ( SV1251
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1251 @ SX0 ) @ ( SV1252 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
@ ( SV1252
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1251 @ SX0 ) @ ( SV1252 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1251 @ sK1_Xx ) @ ( SV1252 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1251 @ SX0 ) @ ( SV1252 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(487,plain,
! [SV1252: n > n,SV1251: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV1251 @ c0 ) @ ( SV1252 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1251 @ SX0 ) @ ( SV1252 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( c_plus
@ ( SV1251
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1251 @ SX0 ) @ ( SV1252 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
@ ( SV1252
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1251 @ SX0 ) @ ( SV1252 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1251 @ sK1_Xx ) @ ( SV1252 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1251 @ SX0 ) @ ( SV1252 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(488,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
= $false )
| ( ( sK1_Xx
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(489,plain,
! [SV1239: n > n,SV1240: n > n] :
( ( ( c0
= ( SV1240 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV1239 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1239 @ SX0 ) @ ( SV1240 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) )
= ( SV1240
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1239 @ SX0 ) @ ( SV1240 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) ) )
= $false )
| ( ( sK1_Xx
= ( SV1239
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1239 @ SX0 ) @ ( SV1240 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1239 @ c0 ) @ ( SV1240 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1239 @ SX0 ) @ ( SV1240 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(490,plain,
! [SV1240: n > n,SV1239: n > n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( SV1239 @ c0 ) @ ( SV1240 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1239 @ SX0 ) @ ( SV1240 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) )
= ( SV1240
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1239 @ SX0 ) @ ( SV1240 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) ) )
= $false )
| ( ( sK1_Xx
= ( SV1239
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1239 @ SX0 ) @ ( SV1240 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1239 @ c0 ) @ ( SV1240 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1239 @ SX0 ) @ ( SV1240 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(491,plain,
! [SV1239: n > n,SV1240: n > n] :
( ( ( c0
= ( SV1240 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV1239 @ c0 ) )
= $false )
| ( ( ( c_plus @ sK1_Xx
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1239 @ SX0 ) @ ( SV1240 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) )
= ( c_plus
@ ( SV1239
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1239 @ SX0 ) @ ( SV1240 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) )
@ ( SV1240
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1239 @ SX0 ) @ ( SV1240 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1239 @ c0 ) @ ( SV1240 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1239 @ SX0 ) @ ( SV1240 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(492,plain,
! [SV1240: n > n,SV1239: n > n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( SV1239 @ c0 ) @ ( SV1240 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1239 @ SX0 ) @ ( SV1240 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) )
= ( c_plus
@ ( SV1239
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1239 @ SX0 ) @ ( SV1240 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) )
@ ( SV1240
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1239 @ SX0 ) @ ( SV1240 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1239 @ c0 ) @ ( SV1240 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1239 @ SX0 ) @ ( SV1240 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(493,plain,
( ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ sK1_Xx
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) )
= $false )
| ( ( c0
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(494,plain,
! [SV1075: n,SV1229: n > n,SV1230: n > n] :
( ( ( c0
= ( SV1230 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV1229 @ c0 ) )
= $false )
| ( ( c0
= ( SV1230
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1229 @ SX0 ) @ ( SV1230 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) ) )
= $false )
| ( ( sK1_Xx
= ( SV1229
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1229 @ SX0 ) @ ( SV1230 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1229 @ SV1075 ) @ ( SV1230 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1229 @ SX0 ) @ ( SV1230 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(495,plain,
! [SV1075: n,SV1230: n > n,SV1229: n > n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( SV1229 @ c0 ) @ ( SV1230 @ c0 ) ) )
= $false )
| ( ( c0
= ( SV1230
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1229 @ SX0 ) @ ( SV1230 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) ) )
= $false )
| ( ( sK1_Xx
= ( SV1229
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1229 @ SX0 ) @ ( SV1230 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1229 @ SV1075 ) @ ( SV1230 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1229 @ SX0 ) @ ( SV1230 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(496,plain,
! [SV1075: n,SV1229: n > n,SV1230: n > n] :
( ( ( c0
= ( SV1230 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV1229 @ c0 ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus
@ ( SV1229
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1229 @ SX0 ) @ ( SV1230 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) )
@ ( SV1230
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1229 @ SX0 ) @ ( SV1230 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1229 @ SV1075 ) @ ( SV1230 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1229 @ SX0 ) @ ( SV1230 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(497,plain,
! [SV1075: n,SV1230: n > n,SV1229: n > n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( SV1229 @ c0 ) @ ( SV1230 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus
@ ( SV1229
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1229 @ SX0 ) @ ( SV1230 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) )
@ ( SV1230
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1229 @ SX0 ) @ ( SV1230 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1229 @ SV1075 ) @ ( SV1230 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1229 @ SX0 ) @ ( SV1230 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(498,plain,
( ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(499,plain,
! [SV1212: n > n,SV1211: n > n] :
( ( ( ( c_plus @ ( SV1211 @ c0 ) @ ( SV1212 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV1211
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) )
@ ( SV1212
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false )
| ( ( ( c_plus @ ( SV1211 @ c0 ) @ ( SV1212 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ))]]) ).
thf(500,plain,
! [SV1212: n > n,SV1211: n > n] :
( ( ( ( c_plus @ ( SV1211 @ c0 ) @ ( SV1212 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus
@ ( SV1211
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) )
@ ( SV1212
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) )
@ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV1211 @ c0 ) @ ( SV1212 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ))]]) ).
thf(501,plain,
! [SV1212: n > n,SV1211: n > n] :
( ( ( ( c_plus @ ( SV1211 @ c0 ) @ ( SV1212 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV1211
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) )
@ ( SV1212
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) ) )
= ( c_plus @ c0
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1211 @ sK1_Xx ) @ ( SV1212 @ sK1_Xx ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1075,$thf( sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ))]]) ).
thf(502,plain,
! [SV1075: n,SV1212: n > n,SV1211: n > n] :
( ( ( ( c_plus @ ( SV1211 @ c0 ) @ ( SV1212 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus
@ ( SV1211
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) )
@ ( SV1212
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV1211 @ SV1075 ) @ ( SV1212 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ))]]) ).
thf(503,plain,
! [SV1075: n,SV1271: n > n,SV1211: n > n,SV1272: n > n,SV1212: n > n] :
( ( ( ( c_plus @ ( SV1271 @ SV1075 ) @ ( SV1272 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV1211 @ SV1075 ) @ ( SV1212 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( SV1212 @ c0 )
= ( SV1272 @ c0 ) )
= $false )
| ( ( ( SV1211 @ c0 )
= ( SV1271 @ c0 ) )
= $false )
| ( ( ( SV1212
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1271 @ SX0 ) @ ( SV1272 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) )
= ( SV1272
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1271 @ SX0 ) @ ( SV1272 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV1211
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1271 @ SX0 ) @ ( SV1272 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) )
= ( SV1271
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1271 @ SX0 ) @ ( SV1272 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1271 @ SX0 ) @ ( SV1272 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ))]]) ).
thf(504,plain,
! [SV1075: n,SV1211: n > n,SV1272: n > n,SV1271: n > n,SV1212: n > n] :
( ( ( ( c_plus @ ( SV1211 @ c0 ) @ ( SV1212 @ c0 ) )
= ( c_plus @ ( SV1271 @ c0 ) @ ( SV1272 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( SV1271 @ SV1075 ) @ ( SV1272 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV1211 @ SV1075 ) @ ( SV1212 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( SV1212
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1271 @ SX0 ) @ ( SV1272 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) )
= ( SV1272
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1271 @ SX0 ) @ ( SV1272 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV1211
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1271 @ SX0 ) @ ( SV1272 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) )
= ( SV1271
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1271 @ SX0 ) @ ( SV1272 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1271 @ SX0 ) @ ( SV1272 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ))]]) ).
thf(505,plain,
! [SV1075: n,SV1271: n > n,SV1211: n > n,SV1272: n > n,SV1212: n > n] :
( ( ( ( c_plus
@ ( SV1211
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1271 @ SX0 ) @ ( SV1272 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) )
@ ( SV1212
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1271 @ SX0 ) @ ( SV1272 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV1271
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1271 @ SX0 ) @ ( SV1272 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) )
@ ( SV1272
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1271 @ SX0 ) @ ( SV1272 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1271 @ SV1075 ) @ ( SV1272 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV1211 @ SV1075 ) @ ( SV1212 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( SV1212 @ c0 )
= ( SV1272 @ c0 ) )
= $false )
| ( ( ( SV1211 @ c0 )
= ( SV1271 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1271 @ SX0 ) @ ( SV1272 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ))]]) ).
thf(506,plain,
! [SV1075: n,SV1272: n > n,SV1271: n > n,SV1212: n > n,SV1211: n > n] :
( ( ( ( c_plus @ ( SV1211 @ c0 ) @ ( SV1212 @ c0 ) )
= ( c_plus @ ( SV1271 @ c0 ) @ ( SV1272 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( SV1211
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1271 @ SX0 ) @ ( SV1272 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) )
@ ( SV1212
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1271 @ SX0 ) @ ( SV1272 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV1271
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1271 @ SX0 ) @ ( SV1272 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) )
@ ( SV1272
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1271 @ SX0 ) @ ( SV1272 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1271 @ SV1075 ) @ ( SV1272 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV1211 @ SV1075 ) @ ( SV1212 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1271 @ SX0 ) @ ( SV1272 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ))]]) ).
thf(507,plain,
! [SV1212: n > n,SV1211: n > n] :
( ( ( ( c_plus @ ( SV1211 @ c0 ) @ ( SV1212 @ c0 ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV1211
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) )
@ ( SV1212
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1211 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV1212 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1211 @ SX0 ) @ ( SV1212 @ SX0 ) ) ))]]) ).
thf(508,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= sK1_Xx )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(509,plain,
( ( ( c0
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 ) )
@ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(510,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus @ c0
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(511,plain,
( ( ( c0
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(512,plain,
! [SV1216: n > n,SV1215: n > n] :
( ( ( c0
= ( c_plus @ ( SV1215 @ c0 ) @ ( SV1216 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1215 @ SX0 ) @ ( SV1216 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( SV1215
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1215 @ SX0 ) @ ( SV1216 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV1216
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1215 @ SX0 ) @ ( SV1216 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1215 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV1216 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1215 @ SX0 ) @ ( SV1216 @ SX0 ) ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(513,plain,
( ( ( c0 = sK1_Xx )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(514,plain,
( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ),
inference(extuni,[status(esa)],[442:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(515,plain,
! [SV1075: n,SV1343: n > n,SV1357: n > n] :
( ( ( ( c_plus
@ ( SV1357
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1357 @ SX0 ) @ SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1357 @ SX0 ) @ SX0 ) ) ) )
= ( SV1343
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1357 @ SX0 ) @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1357 @ SV1075 ) @ SV1075 )
= ( c_plus @ ( SV1343 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1357 @ SX0 ) @ SX0 ) ) )
= c0 )
= $false )
| ( ( ( SV1357 @ c0 )
= ( SV1343 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[441:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1357 @ SX0 ) @ SX0 ) )),bind(SV8,$thf( SV1343 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : ( c_plus @ ( SV1357 @ SX0 ) @ SX0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 ) ))]]) ).
thf(516,plain,
! [SV1075: n,SV1343: n > n,SV1357: n > n] :
( ( ( ( c_plus
@ ( SV1357
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1357 @ SX0 ) @ c0 ) ) ) )
@ c0 )
= ( SV1343
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1357 @ SX0 ) @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1357 @ SV1075 ) @ c0 )
= ( c_plus @ ( SV1343 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1357 @ SX0 ) @ c0 ) ) )
= c0 )
= $false )
| ( ( ( SV1357 @ c0 )
= ( SV1343 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[441:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1357 @ SX0 ) @ c0 ) )),bind(SV8,$thf( SV1343 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : ( c_plus @ ( SV1357 @ SX0 ) @ c0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 ) ))]]) ).
thf(517,plain,
! [SV1075: n,SV1358: n > n,SV1343: n > n,SV1357: n > n] :
( ( ( ( c_plus
@ ( SV1357
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1357 @ SX0 ) @ ( SV1358 @ SX0 ) ) ) ) )
@ ( SV1358
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1357 @ SX0 ) @ ( SV1358 @ SX0 ) ) ) ) ) )
= ( SV1343
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1357 @ SX0 ) @ ( SV1358 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1357 @ c0 ) @ ( SV1358 @ c0 ) )
= ( c_plus @ ( SV1343 @ c0 ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1357 @ SV1075 ) @ ( SV1358 @ SV1075 ) )
= ( c_plus @ ( SV1343 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1357 @ SX0 ) @ ( SV1358 @ SX0 ) ) ) )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[441:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1357 @ SX0 ) @ ( SV1358 @ SX0 ) ) )),bind(SV8,$thf( SV1343 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : ( c_plus @ ( SV1357 @ SX0 ) @ ( SV1358 @ SX0 ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 ) ))]]) ).
thf(518,plain,
! [SV1075: n,SV1343: n > n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( SV1343
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( c0
= ( c_plus @ ( SV1343 @ c0 ) @ c0 ) )
= $false )
| ( ( SV1075
= ( c_plus @ ( SV1343 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[441:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV8,$thf( SV1343 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ SX0 ) ))]]) ).
thf(519,plain,
! [SV1075: n,SV1343: n > n,SV1351: n > n] :
( ( ( ( c_plus
@ ( SV1351
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1351 @ SX0 ) @ SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1351 @ SX0 ) @ SX0 ) ) ) )
= ( SV1343
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1351 @ SX0 ) @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1351 @ SV1075 ) @ SV1075 )
= ( c_plus @ ( SV1343 @ SV1075 ) @ c0 ) )
= $true )
| ( ( ( SV1351 @ c0 )
= ( SV1343 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[441:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1351 @ SX0 ) @ SX0 ) )),bind(SV8,$thf( SV1343 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ c0 ) @ ^ [SX0: n] : ( c_plus @ ( SV1351 @ SX0 ) @ SX0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ c0 ) ))]]) ).
thf(520,plain,
! [SV1075: n,SV1343: n > n,SV1351: n > n] :
( ( ( ( c_plus
@ ( SV1351
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1351 @ SX0 ) @ c0 ) ) ) )
@ c0 )
= ( SV1343
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1351 @ SX0 ) @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1351 @ SV1075 ) @ c0 )
= ( c_plus @ ( SV1343 @ SV1075 ) @ c0 ) )
= $true )
| ( ( ( SV1351 @ c0 )
= ( SV1343 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[441:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1351 @ SX0 ) @ c0 ) )),bind(SV8,$thf( SV1343 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ c0 ) @ ^ [SX0: n] : ( c_plus @ ( SV1351 @ SX0 ) @ c0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ c0 ) ))]]) ).
thf(521,plain,
! [SV1075: n,SV1352: n > n,SV1343: n > n,SV1351: n > n] :
( ( ( ( c_plus
@ ( SV1351
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1351 @ SX0 ) @ ( SV1352 @ SX0 ) ) ) ) )
@ ( SV1352
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1351 @ SX0 ) @ ( SV1352 @ SX0 ) ) ) ) ) )
= ( SV1343
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1351 @ SX0 ) @ ( SV1352 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1351 @ c0 ) @ ( SV1352 @ c0 ) )
= ( c_plus @ ( SV1343 @ c0 ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1351 @ SV1075 ) @ ( SV1352 @ SV1075 ) )
= ( c_plus @ ( SV1343 @ SV1075 ) @ c0 ) )
= $true ) ),
inference(extuni,[status(esa)],[441:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1351 @ SX0 ) @ ( SV1352 @ SX0 ) ) )),bind(SV8,$thf( SV1343 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ c0 ) @ ^ [SX0: n] : ( c_plus @ ( SV1351 @ SX0 ) @ ( SV1352 @ SX0 ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ c0 ) ))]]) ).
thf(522,plain,
! [SV1075: n,SV1343: n > n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ c0 )
@ ^ [SX0: n] : SX0 ) )
= ( SV1343
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ c0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( c0
= ( c_plus @ ( SV1343 @ c0 ) @ c0 ) )
= $false )
| ( ( SV1075
= ( c_plus @ ( SV1343 @ SV1075 ) @ c0 ) )
= $true ) ),
inference(extuni,[status(esa)],[441:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV8,$thf( SV1343 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ c0 ) @ ^ [SX0: n] : SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ c0 ) ))]]) ).
thf(523,plain,
! [SV1075: n,SV1343: n > n,SV1363: n > n,SV1344: n > n,SV1364: n > n] :
( ( ( ( c_plus @ ( SV1363 @ SV1075 ) @ ( SV1364 @ SV1075 ) )
= ( c_plus @ ( SV1343 @ SV1075 ) @ ( SV1344 @ SV1075 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV1343
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ ( SV1344 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1363 @ SX0 ) @ ( SV1364 @ SX0 ) ) ) ) )
@ ( SV1344
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ ( SV1344 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1363 @ SX0 ) @ ( SV1364 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( c_plus
@ ( SV1363
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ ( SV1344 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1363 @ SX0 ) @ ( SV1364 @ SX0 ) ) ) ) )
@ ( SV1364
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ ( SV1344 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1363 @ SX0 ) @ ( SV1364 @ SX0 ) ) ) ) ) )
@ c0 ) )
= $false )
| ( ( ( SV1364 @ c0 )
= ( SV1344 @ c0 ) )
= $false )
| ( ( ( SV1363 @ c0 )
= ( SV1343 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[441:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1363 @ SX0 ) @ ( SV1364 @ SX0 ) ) )),bind(SV8,$thf( c_plus @ ( SV1363 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ ( SV1344 @ SX0 ) ) @ ^ [SX0: n] : ( c_plus @ ( SV1363 @ SX0 ) @ ( SV1364 @ SX0 ) ) ) ) ) @ ( SV1364 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ ( SV1344 @ SX0 ) ) @ ^ [SX0: n] : ( c_plus @ ( SV1363 @ SX0 ) @ ( SV1364 @ SX0 ) ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ ( SV1344 @ SX0 ) ) ))]]) ).
thf(524,plain,
! [SV1075: n,SV1344: n > n,SV1343: n > n,SV1364: n > n,SV1363: n > n] :
( ( ( ( c_plus @ ( SV1363 @ c0 ) @ ( SV1364 @ c0 ) )
= ( c_plus @ ( SV1343 @ c0 ) @ ( SV1344 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( SV1363 @ SV1075 ) @ ( SV1364 @ SV1075 ) )
= ( c_plus @ ( SV1343 @ SV1075 ) @ ( SV1344 @ SV1075 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV1343
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ ( SV1344 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1363 @ SX0 ) @ ( SV1364 @ SX0 ) ) ) ) )
@ ( SV1344
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ ( SV1344 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1363 @ SX0 ) @ ( SV1364 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( c_plus
@ ( SV1363
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ ( SV1344 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1363 @ SX0 ) @ ( SV1364 @ SX0 ) ) ) ) )
@ ( SV1364
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ ( SV1344 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1363 @ SX0 ) @ ( SV1364 @ SX0 ) ) ) ) ) )
@ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[441:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1363 @ SX0 ) @ ( SV1364 @ SX0 ) ) )),bind(SV8,$thf( c_plus @ ( SV1363 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ ( SV1344 @ SX0 ) ) @ ^ [SX0: n] : ( c_plus @ ( SV1363 @ SX0 ) @ ( SV1364 @ SX0 ) ) ) ) ) @ ( SV1364 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ ( SV1344 @ SX0 ) ) @ ^ [SX0: n] : ( c_plus @ ( SV1363 @ SX0 ) @ ( SV1364 @ SX0 ) ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ ( SV1344 @ SX0 ) ) ))]]) ).
thf(525,plain,
! [SV1075: n,SV1344: n > n,SV1343: n > n] :
( ( ( c0
= ( c_plus @ ( SV1343 @ c0 ) @ ( SV1344 @ c0 ) ) )
= $false )
| ( ( SV1075
= ( c_plus @ ( SV1343 @ SV1075 ) @ ( SV1344 @ SV1075 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV1343
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ ( SV1344 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV1344
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ ( SV1344 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ ( SV1344 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
@ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[441:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV8,$thf( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ ( SV1344 @ SX0 ) ) @ ^ [SX0: n] : SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1343 @ SX0 ) @ ( SV1344 @ SX0 ) ) ))]]) ).
thf(527,plain,
! [SV1075: n] :
( ( ( c0 = SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[441:[bind(SV1076,$thf( ^ [SX0: n] : c0 )),bind(SV8,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(528,plain,
! [SV1075: n,SV1367: n > n,SV1074: n > n] :
( ( ( ( c_plus @ ( SV1367 @ c0 ) @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1367 @ SV1075 ) @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx @ SV1074
@ ^ [SX0: n] : ( c_plus @ ( SV1367 @ SX0 ) @ SX0 ) ) )
= c0 )
= $false )
| ( ( ( SV1074
@ ( cS
@ ( sK2_Xx @ SV1074
@ ^ [SX0: n] : ( c_plus @ ( SV1367 @ SX0 ) @ SX0 ) ) ) )
= ( SV1367
@ ( cS
@ ( sK2_Xx @ SV1074
@ ^ [SX0: n] : ( c_plus @ ( SV1367 @ SX0 ) @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[441:[bind(SV8,$thf( SV1367 @ ( cS @ ( sK2_Xx @ SV1074 @ ^ [SX0: n] : ( c_plus @ ( SV1367 @ SX0 ) @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1367 @ SX0 ) @ SX0 ) ))]]) ).
thf(529,plain,
! [SV1075: n,SV1367: n > n,SV1074: n > n] :
( ( ( ( c_plus @ ( SV1367 @ c0 ) @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1367 @ SV1075 ) @ c0 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1074
@ ( cS
@ ( sK2_Xx @ SV1074
@ ^ [SX0: n] : ( c_plus @ ( SV1367 @ SX0 ) @ c0 ) ) ) )
= ( SV1367
@ ( cS
@ ( sK2_Xx @ SV1074
@ ^ [SX0: n] : ( c_plus @ ( SV1367 @ SX0 ) @ c0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[441:[bind(SV8,$thf( SV1367 @ ( cS @ ( sK2_Xx @ SV1074 @ ^ [SX0: n] : ( c_plus @ ( SV1367 @ SX0 ) @ c0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1367 @ SX0 ) @ c0 ) ))]]) ).
thf(530,plain,
! [SV1075: n,SV1074: n > n,SV1368: n > n,SV1367: n > n] :
( ( ( ( c_plus @ ( SV1367 @ c0 ) @ ( SV1368 @ c0 ) )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1367 @ SV1075 ) @ ( SV1368 @ SV1075 ) )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( c_plus
@ ( SV1367
@ ( cS
@ ( sK2_Xx @ SV1074
@ ^ [SX0: n] : ( c_plus @ ( SV1367 @ SX0 ) @ ( SV1368 @ SX0 ) ) ) ) )
@ ( SV1368
@ ( cS
@ ( sK2_Xx @ SV1074
@ ^ [SX0: n] : ( c_plus @ ( SV1367 @ SX0 ) @ ( SV1368 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV1074
@ ( cS
@ ( sK2_Xx @ SV1074
@ ^ [SX0: n] : ( c_plus @ ( SV1367 @ SX0 ) @ ( SV1368 @ SX0 ) ) ) ) )
@ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[441:[bind(SV8,$thf( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ ^ [SX0: n] : ( c_plus @ ( SV1367 @ SX0 ) @ ( SV1368 @ SX0 ) ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1367 @ SX0 ) @ ( SV1368 @ SX0 ) ) ))]]) ).
thf(531,plain,
! [SV1075: n,SV1074: n > n] :
( ( ( c0
= ( SV1074 @ c0 ) )
= $false )
| ( ( SV1075
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx @ SV1074
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( SV1074
@ ( cS
@ ( sK2_Xx @ SV1074
@ ^ [SX0: n] : SX0 ) ) )
@ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[441:[bind(SV8,$thf( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ ^ [SX0: n] : SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(532,plain,
! [SV1075: n,SV1440: n > n > n,SV1439: n > n > n,SV1373: n > n,SV1432: n > n] :
( ( ( ( c_plus @ ( SV1432 @ c0 ) @ ( cS @ ( sK2_Xx @ ( SV1439 @ c0 ) @ ( SV1440 @ c0 ) ) ) )
= ( SV1373 @ c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ( SV1439
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ ( cS @ ( sK2_Xx @ ( SV1439 @ SX0 ) @ ( SV1440 @ SX0 ) ) ) ) ) ) )
@ ( SV1440
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ ( cS @ ( sK2_Xx @ ( SV1439 @ SX0 ) @ ( SV1440 @ SX0 ) ) ) ) ) ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ ( cS @ ( sK2_Xx @ ( SV1439 @ SX0 ) @ ( SV1440 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1432 @ SV1075 ) @ ( cS @ ( sK2_Xx @ ( SV1439 @ SV1075 ) @ ( SV1440 @ SV1075 ) ) ) )
= ( c_plus @ ( SV1373 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( SV1432
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ ( cS @ ( sK2_Xx @ ( SV1439 @ SX0 ) @ ( SV1440 @ SX0 ) ) ) ) ) ) )
= ( SV1373
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ ( cS @ ( sK2_Xx @ ( SV1439 @ SX0 ) @ ( SV1440 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ ( cS @ ( sK2_Xx @ ( SV1439 @ SX0 ) @ ( SV1440 @ SX0 ) ) ) ) )),bind(SV8,$thf( SV1373 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 ) ))]]) ).
thf(533,plain,
! [SV1075: n,SV1373: n > n,SV1432: n > n] :
( ( ( ( c_plus @ ( SV1432 @ c0 ) @ ( cS @ c0 ) )
= ( SV1373 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ ( cS @ SX0 ) ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ ( cS @ SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1432 @ SV1075 ) @ ( cS @ SV1075 ) )
= ( c_plus @ ( SV1373 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( SV1432
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ ( cS @ SX0 ) ) ) ) )
= ( SV1373
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ ( cS @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ ( cS @ SX0 ) ) )),bind(SV8,$thf( SV1373 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 ) ))]]) ).
thf(534,plain,
! [SV1075: n,SV1436: n > n,SV1373: n > n,SV1432: n > n] :
( ( ( ( c_plus @ ( SV1432 @ c0 ) @ ( cS @ ( SV1436 @ c0 ) ) )
= ( SV1373 @ c0 ) )
= $false )
| ( ( ( cS
@ ( SV1436
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ ( cS @ ( SV1436 @ SX0 ) ) ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ ( cS @ ( SV1436 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1432 @ SV1075 ) @ ( cS @ ( SV1436 @ SV1075 ) ) )
= ( c_plus @ ( SV1373 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( SV1432
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ ( cS @ ( SV1436 @ SX0 ) ) ) ) ) )
= ( SV1373
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ ( cS @ ( SV1436 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ ( cS @ ( SV1436 @ SX0 ) ) ) )),bind(SV8,$thf( SV1373 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 ) ))]]) ).
thf(535,plain,
! [SV1075: n,SV1373: n > n,SV1432: n > n] :
( ( ( ( c_plus @ ( SV1432 @ c0 ) @ c0 )
= ( SV1373 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1432 @ SV1075 ) @ SV1075 )
= ( c_plus @ ( SV1373 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( SV1432
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ SX0 ) ) ) )
= ( SV1373
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ SX0 ) )),bind(SV8,$thf( SV1373 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 ) ))]]) ).
thf(536,plain,
! [SV1075: n,SV1373: n > n,SV1433: n > n,SV1432: n > n] :
( ( ( ( c_plus @ ( SV1432 @ c0 ) @ ( SV1433 @ c0 ) )
= ( SV1373 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV1432
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ ( SV1433 @ SX0 ) ) ) ) )
@ ( SV1433
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ ( SV1433 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV1373
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ ( SV1433 @ SX0 ) ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ ( SV1433 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1432 @ SV1075 ) @ ( SV1433 @ SV1075 ) )
= ( c_plus @ ( SV1373 @ SV1075 ) @ SV1075 ) )
= $true ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1432 @ SX0 ) @ ( SV1433 @ SX0 ) ) )),bind(SV8,$thf( SV1373 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 ) ))]]) ).
thf(537,plain,
! [SV1075: n,SV1373: n > n] :
( ( ( c0
= ( SV1373 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( SV1373
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( SV1075
= ( c_plus @ ( SV1373 @ SV1075 ) @ SV1075 ) )
= $true ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV8,$thf( SV1373 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ SX0 ) ))]]) ).
thf(538,plain,
! [SV1075: n,SV1373: n > n,SV1426: n > n] :
( ( ( ( c_plus @ ( SV1426 @ c0 ) @ c0 )
= ( SV1373 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1426 @ SX0 ) @ SX0 ) ) )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV1426 @ SV1075 ) @ SV1075 )
= ( c_plus @ ( SV1373 @ SV1075 ) @ c0 ) )
= $true )
| ( ( ( SV1426
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1426 @ SX0 ) @ SX0 ) ) ) )
= ( SV1373
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1426 @ SX0 ) @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1426 @ SX0 ) @ SX0 ) )),bind(SV8,$thf( SV1373 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ c0 ) ))]]) ).
thf(539,plain,
! [SV1075: n,SV1373: n > n,SV1426: n > n] :
( ( ( ( c_plus @ ( SV1426 @ c0 ) @ c0 )
= ( SV1373 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1426 @ SV1075 ) @ c0 )
= ( c_plus @ ( SV1373 @ SV1075 ) @ c0 ) )
= $true )
| ( ( ( SV1426
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1426 @ SX0 ) @ c0 ) ) ) )
= ( SV1373
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1426 @ SX0 ) @ c0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1426 @ SX0 ) @ c0 ) )),bind(SV8,$thf( SV1373 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ c0 ) ))]]) ).
thf(540,plain,
! [SV1075: n,SV1373: n > n,SV1427: n > n,SV1426: n > n] :
( ( ( ( c_plus @ ( SV1426 @ c0 ) @ ( SV1427 @ c0 ) )
= ( SV1373 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV1426
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1426 @ SX0 ) @ ( SV1427 @ SX0 ) ) ) ) )
@ ( SV1427
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1426 @ SX0 ) @ ( SV1427 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV1373
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1426 @ SX0 ) @ ( SV1427 @ SX0 ) ) ) ) )
@ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1426 @ SV1075 ) @ ( SV1427 @ SV1075 ) )
= ( c_plus @ ( SV1373 @ SV1075 ) @ c0 ) )
= $true ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1426 @ SX0 ) @ ( SV1427 @ SX0 ) ) )),bind(SV8,$thf( SV1373 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ c0 ) ))]]) ).
thf(541,plain,
! [SV1075: n,SV1373: n > n] :
( ( ( c0
= ( SV1373 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ c0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( SV1373
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ c0 )
@ ^ [SX0: n] : SX0 ) ) )
@ c0 ) )
= $false )
| ( ( SV1075
= ( c_plus @ ( SV1373 @ SV1075 ) @ c0 ) )
= $true ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV8,$thf( SV1373 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ c0 ) ))]]) ).
thf(542,plain,
! [SV1075: n,SV1449: n > n,SV1374: n > n,SV1373: n > n,SV1450: n > n] :
( ( ( ( c_plus @ ( SV1449 @ SV1075 ) @ ( SV1450 @ SV1075 ) )
= ( c_plus @ ( SV1373 @ SV1075 ) @ ( SV1374 @ SV1075 ) ) )
= $true )
| ( ( ( c_plus @ ( SV1373 @ c0 ) @ ( SV1374 @ c0 ) )
= ( c_plus @ ( c_plus @ ( SV1449 @ c0 ) @ ( SV1450 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( SV1450
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ ( SV1374 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1449 @ SX0 ) @ ( SV1450 @ SX0 ) ) ) ) )
= ( SV1374
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ ( SV1374 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1449 @ SX0 ) @ ( SV1450 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV1449
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ ( SV1374 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1449 @ SX0 ) @ ( SV1450 @ SX0 ) ) ) ) )
= ( SV1373
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ ( SV1374 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1449 @ SX0 ) @ ( SV1450 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1449 @ SX0 ) @ ( SV1450 @ SX0 ) ) )),bind(SV8,$thf( c_plus @ ( SV1449 @ c0 ) @ ( SV1450 @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ ( SV1374 @ SX0 ) ) ))]]) ).
thf(543,plain,
! [SV1075: n,SV1450: n > n,SV1374: n > n,SV1373: n > n,SV1449: n > n] :
( ( ( ( c_plus
@ ( SV1449
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ ( SV1374 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1449 @ SX0 ) @ ( SV1450 @ SX0 ) ) ) ) )
@ ( SV1450
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ ( SV1374 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1449 @ SX0 ) @ ( SV1450 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV1373
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ ( SV1374 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1449 @ SX0 ) @ ( SV1450 @ SX0 ) ) ) ) )
@ ( SV1374
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ ( SV1374 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1449 @ SX0 ) @ ( SV1450 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1449 @ SV1075 ) @ ( SV1450 @ SV1075 ) )
= ( c_plus @ ( SV1373 @ SV1075 ) @ ( SV1374 @ SV1075 ) ) )
= $true )
| ( ( ( c_plus @ ( SV1373 @ c0 ) @ ( SV1374 @ c0 ) )
= ( c_plus @ ( c_plus @ ( SV1449 @ c0 ) @ ( SV1450 @ c0 ) ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1449 @ SX0 ) @ ( SV1450 @ SX0 ) ) )),bind(SV8,$thf( c_plus @ ( SV1449 @ c0 ) @ ( SV1450 @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ ( SV1374 @ SX0 ) ) ))]]) ).
thf(544,plain,
! [SV1075: n,SV1374: n > n,SV1373: n > n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ ( SV1374 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( SV1373
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ ( SV1374 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV1374
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ ( SV1374 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) ) )
= $false )
| ( ( SV1075
= ( c_plus @ ( SV1373 @ SV1075 ) @ ( SV1374 @ SV1075 ) ) )
= $true )
| ( ( ( c_plus @ ( SV1373 @ c0 ) @ ( SV1374 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV8,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1373 @ SX0 ) @ ( SV1374 @ SX0 ) ) ))]]) ).
thf(545,plain,
! [SV1075: n,SV1388: n > n > n > n > n,SV1387: n > n > n > n > n,SV1386: n > n > n,SV1415: n > n > n] :
( ( ( ( cS
@ ( SV1415
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : ( cS @ ( SV1415 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK9_E @ SV1075 @ SV1388 @ SV1387 @ SV1386
@ ^ [SX0: n,SX1: n] : ( cS @ ( SV1415 @ SX0 @ SX1 ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] :
( sK3_E
@ ( SV1386
@ ( sK9_E @ SV1075 @ SV1388 @ SV1387 @ SV1386
@ ^ [SX1: n,SX2: n] : ( cS @ ( SV1415 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV1387
@ ( sK9_E @ SV1075 @ SV1388 @ SV1387 @ SV1386
@ ^ [SX1: n,SX2: n] : ( cS @ ( SV1415 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV1388
@ ( sK9_E @ SV1075 @ SV1388 @ SV1387 @ SV1386
@ ^ [SX1: n,SX2: n] : ( cS @ ( SV1415 @ SX1 @ SX2 ) ) )
@ SX0 ) )
@ ^ [SX0: n] :
( cS
@ ( SV1415
@ ( sK9_E @ SV1075 @ SV1388 @ SV1387 @ SV1386
@ ^ [SX1: n,SX2: n] : ( cS @ ( SV1415 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) ) )
= $false )
| ( ( ( sK3_E
@ ( SV1386
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : ( cS @ ( SV1415 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : ( cS @ ( SV1415 @ SX0 @ SX1 ) )
@ ^ [SX0: n,SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) ) )
@ ( SV1387
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : ( cS @ ( SV1415 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : ( cS @ ( SV1415 @ SX0 @ SX1 ) )
@ ^ [SX0: n,SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) ) )
@ ( SV1388
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : ( cS @ ( SV1415 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : ( cS @ ( SV1415 @ SX0 @ SX1 ) )
@ ^ [SX0: n,SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) ) ) )
= ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : ( cS @ ( SV1415 @ SX0 @ SX1 ) )
@ ^ [SX0: n,SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( sK3_E @ ( SV1386 @ SV1075 @ SX0 ) @ ( SV1387 @ SV1075 @ SX0 ) @ ( SV1388 @ SV1075 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( SV1415 @ SV1075 @ SX0 ) ) ) )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( sK3_E @ ( SV1386 @ c0 @ SX0 ) @ ( SV1387 @ c0 @ SX0 ) @ ( SV1388 @ c0 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( SV1415 @ c0 @ SX0 ) ) ) )
@ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) @ ^ [SX1: n] : ( cS @ ( SV1415 @ SX0 @ SX1 ) ) ) ) )),bind(SV8,$thf( cS @ ( sK2_Xx @ ^ [SX0: n] : ( sK3_E @ ( SV1386 @ c0 @ SX0 ) @ ( SV1387 @ c0 @ SX0 ) @ ( SV1388 @ c0 @ SX0 ) ) @ ^ [SX0: n] : ( cS @ ( SV1415 @ c0 @ SX0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(546,plain,
! [SV1386: n > n > n,SV1387: n > n > n > n > n,SV1388: n > n > n > n > n,SV1075: n] :
( ( ( ( sK9_E @ SV1075 @ SV1388 @ SV1387 @ SV1386
@ ^ [SX0: n,SX1: n] : SX1 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] :
( sK3_E
@ ( SV1386
@ ( sK9_E @ SV1075 @ SV1388 @ SV1387 @ SV1386
@ ^ [SX1: n,SX2: n] : SX2 )
@ SX0 )
@ ( SV1387
@ ( sK9_E @ SV1075 @ SV1388 @ SV1387 @ SV1386
@ ^ [SX1: n,SX2: n] : SX2 )
@ SX0 )
@ ( SV1388
@ ( sK9_E @ SV1075 @ SV1388 @ SV1387 @ SV1386
@ ^ [SX1: n,SX2: n] : SX2 )
@ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
= $false )
| ( ( ( sK3_E
@ ( SV1386
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX1 ) ) ) )
@ ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX1
@ ^ [SX0: n,SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) ) )
@ ( SV1387
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX1 ) ) ) )
@ ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX1
@ ^ [SX0: n,SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) ) )
@ ( SV1388
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX1 ) ) ) )
@ ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX1
@ ^ [SX0: n,SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) ) ) )
= ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX1
@ ^ [SX0: n,SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( sK3_E @ ( SV1386 @ SV1075 @ SX0 ) @ ( SV1387 @ SV1075 @ SX0 ) @ ( SV1388 @ SV1075 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( sK3_E @ ( SV1386 @ c0 @ SX0 ) @ ( SV1387 @ c0 @ SX0 ) @ ( SV1388 @ c0 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
@ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) @ ^ [SX1: n] : SX1 ) ) )),bind(SV8,$thf( cS @ ( sK2_Xx @ ^ [SX0: n] : ( sK3_E @ ( SV1386 @ c0 @ SX0 ) @ ( SV1387 @ c0 @ SX0 ) @ ( SV1388 @ c0 @ SX0 ) ) @ ^ [SX0: n] : SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(547,plain,
! [SV1387: n > n > n > n > n,SV1388: n > n > n > n > n,SV1075: n,SV1386: n > n > n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SY604: n] : ( sK3_E @ ( SV1386 @ ( sK11_E @ SV1075 @ SV1388 @ SV1387 @ SV1386 ) @ SY604 ) @ ( SV1387 @ ( sK11_E @ SV1075 @ SV1388 @ SV1387 @ SV1386 ) @ SY604 ) @ ( SV1388 @ ( sK11_E @ SV1075 @ SV1388 @ SV1387 @ SV1386 ) @ SY604 ) )
@ ^ [SY605: n] : ( sK11_E @ SV1075 @ SV1388 @ SV1387 @ SV1386 ) ) )
= ( sK9_E @ SV1075 @ SV1388 @ SV1387 @ SV1386
@ ^ [SX1: n,SX2: n] : SX1 ) )
= $false )
| ( ( ( sK10_E @ SV1387 @ SV1388 @ SV1075 @ SV1386 )
= ( sK3_E
@ ( SV1386
@ ( sK9_E @ SV1075 @ SV1388 @ SV1387 @ SV1386
@ ^ [SX1: n,SX2: n] : SX1 )
@ ( sK10_E @ SV1387 @ SV1388 @ SV1075 @ SV1386 ) )
@ ( SV1387
@ ( sK9_E @ SV1075 @ SV1388 @ SV1387 @ SV1386
@ ^ [SX1: n,SX2: n] : SX1 )
@ ( sK10_E @ SV1387 @ SV1388 @ SV1075 @ SV1386 ) )
@ ( SV1388
@ ( sK9_E @ SV1075 @ SV1388 @ SV1387 @ SV1386
@ ^ [SX1: n,SX2: n] : SX1 )
@ ( sK10_E @ SV1387 @ SV1388 @ SV1075 @ SV1386 ) ) ) )
= $false )
| ( ( ( sK3_E
@ ( SV1386
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) ) )
@ ( SV1387
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) ) )
@ ( SV1388
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) ) ) )
= ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( sK3_E @ ( SV1386 @ SV1075 @ SX0 ) @ ( SV1387 @ SV1075 @ SX0 ) @ ( SV1388 @ SV1075 @ SX0 ) )
@ ^ [SX0: n] : SV1075 ) )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( sK3_E @ ( SV1386 @ c0 @ SX0 ) @ ( SV1387 @ c0 @ SX0 ) @ ( SV1388 @ c0 @ SX0 ) )
@ ^ [SX0: n] : c0 ) )
@ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) @ ^ [SX1: n] : SX0 ) ) )),bind(SV8,$thf( cS @ ( sK2_Xx @ ^ [SX0: n] : ( sK3_E @ ( SV1386 @ c0 @ SX0 ) @ ( SV1387 @ c0 @ SX0 ) @ ( SV1388 @ c0 @ SX0 ) ) @ ^ [SX0: n] : c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(548,plain,
! [SV1075: n,SV1388: n > n > n > n > n,SV1387: n > n > n > n > n,SV1386: n > n > n] :
( ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) )
= ( sK2_Xx
@ ^ [SX0: n] :
( sK3_E
@ ( SV1386
@ ( sK9_E @ SV1075 @ SV1388 @ SV1387 @ SV1386
@ ^ [SX1: n,SX2: n] : SX1 )
@ SX0 )
@ ( SV1387
@ ( sK9_E @ SV1075 @ SV1388 @ SV1387 @ SV1386
@ ^ [SX1: n,SX2: n] : SX1 )
@ SX0 )
@ ( SV1388
@ ( sK9_E @ SV1075 @ SV1388 @ SV1387 @ SV1386
@ ^ [SX1: n,SX2: n] : SX1 )
@ SX0 ) )
@ ^ [SX0: n] :
( sK9_E @ SV1075 @ SV1388 @ SV1387 @ SV1386
@ ^ [SX1: n,SX2: n] : SX1 ) ) )
= $false )
| ( ( ( sK3_E
@ ( SV1386
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) ) )
@ ( SV1387
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) ) )
@ ( SV1388
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) ) ) )
= ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( sK3_E @ ( SV1386 @ SV1075 @ SX0 ) @ ( SV1387 @ SV1075 @ SX0 ) @ ( SV1388 @ SV1075 @ SX0 ) )
@ ^ [SX0: n] : SV1075 ) )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( sK3_E @ ( SV1386 @ c0 @ SX0 ) @ ( SV1387 @ c0 @ SX0 ) @ ( SV1388 @ c0 @ SX0 ) )
@ ^ [SX0: n] : c0 ) )
@ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) @ ^ [SX1: n] : SX0 ) ) )),bind(SV8,$thf( cS @ ( sK2_Xx @ ^ [SX0: n] : ( sK3_E @ ( SV1386 @ c0 @ SX0 ) @ ( SV1387 @ c0 @ SX0 ) @ ( SV1388 @ c0 @ SX0 ) ) @ ^ [SX0: n] : c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(549,plain,
! [SV1075: n,SV1388: n > n > n > n > n,SV1387: n > n > n > n > n,SV1386: n > n > n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] :
( sK3_E
@ ( SV1386
@ ( sK9_E @ SV1075 @ SV1388 @ SV1387 @ SV1386
@ ^ [SX1: n,SX2: n] : SX1 )
@ SX0 )
@ ( SV1387
@ ( sK9_E @ SV1075 @ SV1388 @ SV1387 @ SV1386
@ ^ [SX1: n,SX2: n] : SX1 )
@ SX0 )
@ ( SV1388
@ ( sK9_E @ SV1075 @ SV1388 @ SV1387 @ SV1386
@ ^ [SX1: n,SX2: n] : SX1 )
@ SX0 ) )
@ ^ [SX0: n] :
( sK9_E @ SV1075 @ SV1388 @ SV1387 @ SV1386
@ ^ [SX1: n,SX2: n] : SX1 ) ) ) )
= $false )
| ( ( ( sK3_E
@ ( SV1386
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) ) )
@ ( SV1387
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) ) )
@ ( SV1388
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) ) ) )
= ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( sK3_E @ ( SV1386 @ SV1075 @ SX0 ) @ ( SV1387 @ SV1075 @ SX0 ) @ ( SV1388 @ SV1075 @ SX0 ) )
@ ^ [SX0: n] : SV1075 ) )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( sK3_E @ ( SV1386 @ c0 @ SX0 ) @ ( SV1387 @ c0 @ SX0 ) @ ( SV1388 @ c0 @ SX0 ) )
@ ^ [SX0: n] : c0 ) )
@ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : ( sK3_E @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) @ ( SV1388 @ SX0 @ SX1 ) ) @ ^ [SX1: n] : SX0 ) ) )),bind(SV8,$thf( cS @ ( sK2_Xx @ ^ [SX0: n] : ( sK3_E @ ( SV1386 @ c0 @ SX0 ) @ ( SV1387 @ c0 @ SX0 ) @ ( SV1388 @ c0 @ SX0 ) ) @ ^ [SX0: n] : c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(550,plain,
! [SV1075: n,SV1404: n > n > n] :
( ( ( ( cS
@ ( SV1404
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX1
@ ^ [SX1: n] : ( cS @ ( SV1404 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK7_E @ SV1075
@ ^ [SX0: n,SX1: n] : ( cS @ ( SV1404 @ SX0 @ SX1 ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( SV1404
@ ( sK7_E @ SV1075
@ ^ [SX1: n,SX2: n] : ( cS @ ( SV1404 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( SV1404 @ SV1075 @ SX0 ) ) ) )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( SV1404 @ c0 @ SX0 ) ) ) )
@ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : SX1 @ ^ [SX1: n] : ( cS @ ( SV1404 @ SX0 @ SX1 ) ) ) ) )),bind(SV8,$thf( cS @ ( sK2_Xx @ ^ [SX0: n] : SX0 @ ^ [SX0: n] : ( cS @ ( SV1404 @ c0 @ SX0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(551,plain,
! [SV1075: n] :
( ( ( ( sK7_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX1 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : SX0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : SX0 ) )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : SX0 ) )
@ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : SX1 @ ^ [SX1: n] : SX1 ) ) )),bind(SV8,$thf( cS @ ( sK2_Xx @ ^ [SX0: n] : SX0 @ ^ [SX0: n] : SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(552,plain,
! [SV1075: n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX1
@ ^ [SY587: n] : ( sK8_E @ SV1075 ) ) )
= ( sK7_E @ SV1075
@ ^ [SX1: n,SX2: n] : SX1 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : SV1075 ) )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : c0 ) )
@ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : SX1 @ ^ [SX1: n] : SX0 ) ) )),bind(SV8,$thf( cS @ ( sK2_Xx @ ^ [SX0: n] : SX0 @ ^ [SX0: n] : c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(553,plain,
! [SV1075: n] :
( ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX1
@ ^ [SX1: n] : SX0 ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( sK7_E @ SV1075
@ ^ [SX1: n,SX2: n] : SX1 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : SV1075 ) )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : c0 ) )
@ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : SX1 @ ^ [SX1: n] : SX0 ) ) )),bind(SV8,$thf( cS @ ( sK2_Xx @ ^ [SX0: n] : SX0 @ ^ [SX0: n] : c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(554,plain,
! [SV1075: n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX1
@ ^ [SX1: n] : SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( sK7_E @ SV1075
@ ^ [SX1: n,SX2: n] : SX1 ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : SV1075 ) )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : c0 ) )
@ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : SX1 @ ^ [SX1: n] : SX0 ) ) )),bind(SV8,$thf( cS @ ( sK2_Xx @ ^ [SX0: n] : SX0 @ ^ [SX0: n] : c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(555,plain,
! [SV1075: n,SV1393: n > n > n] :
( ( ( ( cS
@ ( SV1393
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX0
@ ^ [SX1: n] : ( cS @ ( SV1393 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK4_E @ SV1075
@ ^ [SX0: n,SX1: n] : ( cS @ ( SV1393 @ SX0 @ SX1 ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] :
( sK4_E @ SV1075
@ ^ [SX1: n,SX2: n] : ( cS @ ( SV1393 @ SX1 @ SX2 ) ) )
@ ^ [SX0: n] :
( cS
@ ( SV1393
@ ( sK4_E @ SV1075
@ ^ [SX1: n,SX2: n] : ( cS @ ( SV1393 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX0
@ ^ [SX1: n] : ( cS @ ( SV1393 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : ( cS @ ( SV1393 @ SX0 @ SX1 ) )
@ ^ [SX0: n,SX1: n] : SX0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SV1075
@ ^ [SX0: n] : ( cS @ ( SV1393 @ SV1075 @ SX0 ) ) ) )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : c0
@ ^ [SX0: n] : ( cS @ ( SV1393 @ c0 @ SX0 ) ) ) )
@ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : SX0 @ ^ [SX1: n] : ( cS @ ( SV1393 @ SX0 @ SX1 ) ) ) ) )),bind(SV8,$thf( cS @ ( sK2_Xx @ ^ [SX0: n] : c0 @ ^ [SX0: n] : ( cS @ ( SV1393 @ c0 @ SX0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(556,plain,
! [SV1075: n] :
( ( ( ( sK4_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX1 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] :
( sK4_E @ SV1075
@ ^ [SX1: n,SX2: n] : SX2 )
@ ^ [SX0: n] : SX0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX0
@ ^ [SX1: n] : SX1 ) ) ) )
= ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX1
@ ^ [SX0: n,SX1: n] : SX0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SV1075
@ ^ [SX0: n] : SX0 ) )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : c0
@ ^ [SX0: n] : SX0 ) )
@ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : SX0 @ ^ [SX1: n] : SX1 ) ) )),bind(SV8,$thf( cS @ ( sK2_Xx @ ^ [SX0: n] : c0 @ ^ [SX0: n] : SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(557,plain,
! [SV1075: n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SY574: n] : ( sK6_E @ SV1075 )
@ ^ [SY575: n] : ( sK6_E @ SV1075 ) ) )
= ( sK4_E @ SV1075
@ ^ [SX1: n,SX2: n] : SX1 ) )
= $false )
| ( ( ( sK5_E @ SV1075 )
= ( sK4_E @ SV1075
@ ^ [SX1: n,SX2: n] : SX1 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX0
@ ^ [SX1: n] : SX0 ) ) ) )
= ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : SX0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SV1075
@ ^ [SX0: n] : SV1075 ) )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : c0
@ ^ [SX0: n] : c0 ) )
@ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : SX0 @ ^ [SX1: n] : SX0 ) ) )),bind(SV8,$thf( cS @ ( sK2_Xx @ ^ [SX0: n] : c0 @ ^ [SX0: n] : c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(558,plain,
! [SV1075: n] :
( ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX0
@ ^ [SX1: n] : SX0 ) ) )
= ( sK2_Xx
@ ^ [SX0: n] :
( sK4_E @ SV1075
@ ^ [SX1: n,SX2: n] : SX1 )
@ ^ [SX0: n] :
( sK4_E @ SV1075
@ ^ [SX1: n,SX2: n] : SX1 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX0
@ ^ [SX1: n] : SX0 ) ) ) )
= ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : SX0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SV1075
@ ^ [SX0: n] : SV1075 ) )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : c0
@ ^ [SX0: n] : c0 ) )
@ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : SX0 @ ^ [SX1: n] : SX0 ) ) )),bind(SV8,$thf( cS @ ( sK2_Xx @ ^ [SX0: n] : c0 @ ^ [SX0: n] : c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(559,plain,
! [SV1075: n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX0
@ ^ [SX1: n] : SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] :
( sK4_E @ SV1075
@ ^ [SX1: n,SX2: n] : SX1 )
@ ^ [SX0: n] :
( sK4_E @ SV1075
@ ^ [SX1: n,SX2: n] : SX1 ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX0
@ ^ [SX1: n] : SX0 ) ) ) )
= ( sK3_E @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : SX0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SV1075
@ ^ [SX0: n] : SV1075 ) )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : c0
@ ^ [SX0: n] : c0 ) )
@ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : SX0 @ ^ [SX1: n] : SX0 ) ) )),bind(SV8,$thf( cS @ ( sK2_Xx @ ^ [SX0: n] : c0 @ ^ [SX0: n] : c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(560,plain,
! [SV1075: n,SV1381: n > n > n,SV1380: n > n > n] :
( ( ( ( sK2_Xx
@ ( SV1380
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( sK2_Xx @ ( SV1380 @ SX0 ) @ ( SV1381 @ SX0 ) ) ) ) ) )
@ ( SV1381
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( sK2_Xx @ ( SV1380 @ SX0 ) @ ( SV1381 @ SX0 ) ) ) ) ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( sK2_Xx @ ( SV1380 @ SX0 ) @ ( SV1381 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS @ ( sK2_Xx @ ( SV1380 @ SV1075 ) @ ( SV1381 @ SV1075 ) ) )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus @ ( cS @ ( sK2_Xx @ ( SV1380 @ c0 ) @ ( SV1381 @ c0 ) ) ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ( SV1380 @ SX0 ) @ ( SV1381 @ SX0 ) ) ) )),bind(SV8,$thf( cS @ ( sK2_Xx @ ( SV1380 @ c0 ) @ ( SV1381 @ c0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(561,plain,
! [SV1075: n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
= $false )
| ( ( ( cS @ SV1075 )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus @ ( cS @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV8,$thf( cS @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(562,plain,
! [SV1075: n,SV1377: n > n] :
( ( ( ( cS
@ ( SV1377
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( SV1377 @ SX0 ) ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( SV1377 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS @ ( SV1377 @ SV1075 ) )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus @ ( cS @ ( SV1377 @ c0 ) ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( SV1377 @ SX0 ) ) )),bind(SV8,$thf( cS @ ( SV1377 @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(564,plain,
! [SV1075: n,SV1453: n > n,SV1074: n > n] :
( ( ( ( c_plus
@ ( SV1453
@ ( cS
@ ( sK2_Xx @ SV1074
@ ^ [SX0: n] : ( c_plus @ ( SV1453 @ SX0 ) @ SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx @ SV1074
@ ^ [SX0: n] : ( c_plus @ ( SV1453 @ SX0 ) @ SX0 ) ) ) )
= ( SV1074
@ ( cS
@ ( sK2_Xx @ SV1074
@ ^ [SX0: n] : ( c_plus @ ( SV1453 @ SX0 ) @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1453 @ SV1075 ) @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1074 @ c0 )
= ( SV1453 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV8,$thf( SV1453 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1453 @ SX0 ) @ SX0 ) ))]]) ).
thf(565,plain,
! [SV1075: n,SV1453: n > n,SV1074: n > n] :
( ( ( ( c_plus
@ ( SV1453
@ ( cS
@ ( sK2_Xx @ SV1074
@ ^ [SX0: n] : ( c_plus @ ( SV1453 @ SX0 ) @ c0 ) ) ) )
@ c0 )
= ( SV1074
@ ( cS
@ ( sK2_Xx @ SV1074
@ ^ [SX0: n] : ( c_plus @ ( SV1453 @ SX0 ) @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1453 @ SV1075 ) @ c0 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1074 @ c0 )
= ( SV1453 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV8,$thf( SV1453 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1453 @ SX0 ) @ c0 ) ))]]) ).
thf(566,plain,
! [SV1075: n,SV1454: n > n,SV1074: n > n,SV1453: n > n] :
( ( ( ( c_plus
@ ( SV1453
@ ( cS
@ ( sK2_Xx @ SV1074
@ ^ [SX0: n] : ( c_plus @ ( SV1453 @ SX0 ) @ ( SV1454 @ SX0 ) ) ) ) )
@ ( SV1454
@ ( cS
@ ( sK2_Xx @ SV1074
@ ^ [SX0: n] : ( c_plus @ ( SV1453 @ SX0 ) @ ( SV1454 @ SX0 ) ) ) ) ) )
= ( SV1074
@ ( cS
@ ( sK2_Xx @ SV1074
@ ^ [SX0: n] : ( c_plus @ ( SV1453 @ SX0 ) @ ( SV1454 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1453 @ SV1075 ) @ ( SV1454 @ SV1075 ) )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( c_plus @ ( SV1453 @ c0 ) @ ( SV1454 @ c0 ) )
= ( c_plus @ ( SV1074 @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV8,$thf( SV1074 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1453 @ SX0 ) @ ( SV1454 @ SX0 ) ) ))]]) ).
thf(567,plain,
! [SV1075: n,SV1074: n > n] :
( ( ( ( cS
@ ( sK2_Xx @ SV1074
@ ^ [SX0: n] : SX0 ) )
= ( SV1074
@ ( cS
@ ( sK2_Xx @ SV1074
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( SV1075
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( c0
= ( c_plus @ ( SV1074 @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[440:[bind(SV8,$thf( SV1074 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(568,plain,
! [SV1583: n > n,SV1582: n > n] :
( ( ( ( c_plus @ ( SV1582 @ c0 ) @ ( SV1583 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV1582
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1582 @ SX0 ) @ ( SV1583 @ SX0 ) ) ) ) )
@ ( SV1583
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1582 @ SX0 ) @ ( SV1583 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1582 @ SX0 ) @ ( SV1583 @ SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1582 @ SX0 ) @ ( SV1583 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1582 @ c0 ) @ ( SV1583 @ c0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1582 @ SX0 ) @ ( SV1583 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(569,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( c0
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(570,plain,
! [SV1552: n > n,SV1551: n > n] :
( ( ( ( c_plus @ ( SV1551 @ c0 ) @ ( SV1552 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus
@ ( SV1551
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV1551 @ SX0 ) @ ( SV1552 @ SX0 ) ) ) ) )
@ ( SV1552
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV1551 @ SX0 ) @ ( SV1552 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV1551 @ SX0 ) @ ( SV1552 @ SX0 ) ) ) )
@ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV1551 @ c0 ) @ ( SV1552 @ c0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1551 @ SX0 ) @ ( SV1552 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(571,plain,
( ( ( c0
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 ) )
@ sK1_Xx ) )
= $false )
| ( ( c0
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(572,plain,
! [SV1522: n > n,SV1521: n > n] :
( ( ( ( c_plus @ ( SV1521 @ c0 ) @ ( SV1522 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV1521
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1521 @ SX0 ) @ ( SV1522 @ SX0 ) ) ) ) )
@ ( SV1522
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1521 @ SX0 ) @ ( SV1522 @ SX0 ) ) ) ) ) )
= ( c_plus @ c0
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1521 @ SX0 ) @ ( SV1522 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1521 @ sK1_Xx ) @ ( SV1522 @ sK1_Xx ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1521 @ SX0 ) @ ( SV1522 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(573,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus @ c0
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( sK1_Xx
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(574,plain,
! [SV1075: n,SV1496: n > n,SV1495: n > n] :
( ( ( ( c_plus @ ( SV1495 @ c0 ) @ ( SV1496 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus
@ ( SV1495
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV1495 @ SX0 ) @ ( SV1496 @ SX0 ) ) ) ) )
@ ( SV1496
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV1495 @ SX0 ) @ ( SV1496 @ SX0 ) ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV1495 @ SV1075 ) @ ( SV1496 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1495 @ SX0 ) @ ( SV1496 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(575,plain,
( ( ( c0
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(576,plain,
! [SV1459: n > n,SV1620: n > n,SV1619: n > n,SV1460: n > n] :
( ( ( c0
= ( SV1460 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1619 @ c0 ) @ ( SV1620 @ c0 ) )
= ( SV1459 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) ) )
= ( SV1460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus
@ ( SV1619
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV1620
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) ) ) ) )
= ( SV1459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1619 @ c0 ) @ ( SV1620 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1459 @ c0 ) @ ( SV1460 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) ) ))]]) ).
thf(577,plain,
! [SV1460: n > n,SV1459: n > n,SV1620: n > n,SV1619: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV1619 @ c0 ) @ ( SV1620 @ c0 ) ) @ c0 )
= ( c_plus @ ( SV1459 @ c0 ) @ ( SV1460 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) ) )
= ( SV1460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus
@ ( SV1619
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV1620
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) ) ) ) )
= ( SV1459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1619 @ c0 ) @ ( SV1620 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1459 @ c0 ) @ ( SV1460 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) ) ))]]) ).
thf(578,plain,
! [SV1459: n > n,SV1620: n > n,SV1619: n > n,SV1460: n > n] :
( ( ( c0
= ( SV1460 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1619 @ c0 ) @ ( SV1620 @ c0 ) )
= ( SV1459 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV1619
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV1620
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) ) ) )
= ( c_plus
@ ( SV1459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV1460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1619 @ c0 ) @ ( SV1620 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1459 @ c0 ) @ ( SV1460 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) ) ))]]) ).
thf(579,plain,
! [SV1460: n > n,SV1459: n > n,SV1620: n > n,SV1619: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV1619 @ c0 ) @ ( SV1620 @ c0 ) ) @ c0 )
= ( c_plus @ ( SV1459 @ c0 ) @ ( SV1460 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV1619
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV1620
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) ) ) )
= ( c_plus
@ ( SV1459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV1460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1619 @ c0 ) @ ( SV1620 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1459 @ c0 ) @ ( SV1460 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) ) ))]]) ).
thf(580,plain,
! [SV1075: n,SV1459: n > n,SV1620: n > n,SV1619: n > n,SV1460: n > n] :
( ( ( c0
= ( SV1460 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1619 @ c0 ) @ ( SV1620 @ c0 ) )
= ( SV1459 @ c0 ) )
= $false )
| ( ( c0
= ( SV1460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus
@ ( SV1619
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV1620
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ c0 ) ) ) ) )
= ( SV1459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1619 @ SV1075 ) @ ( SV1620 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1459 @ SV1075 ) @ ( SV1460 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) ) ))]]) ).
thf(581,plain,
! [SV1075: n,SV1460: n > n,SV1459: n > n,SV1620: n > n,SV1619: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV1619 @ c0 ) @ ( SV1620 @ c0 ) ) @ c0 )
= ( c_plus @ ( SV1459 @ c0 ) @ ( SV1460 @ c0 ) ) )
= $false )
| ( ( c0
= ( SV1460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus
@ ( SV1619
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV1620
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ c0 ) ) ) ) )
= ( SV1459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1619 @ SV1075 ) @ ( SV1620 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1459 @ SV1075 ) @ ( SV1460 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) ) ))]]) ).
thf(582,plain,
! [SV1075: n,SV1459: n > n,SV1620: n > n,SV1619: n > n,SV1460: n > n] :
( ( ( c0
= ( SV1460 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1619 @ c0 ) @ ( SV1620 @ c0 ) )
= ( SV1459 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV1619
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV1620
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ c0 ) ) ) ) )
@ c0 )
= ( c_plus
@ ( SV1459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV1460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1619 @ SV1075 ) @ ( SV1620 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1459 @ SV1075 ) @ ( SV1460 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) ) ))]]) ).
thf(583,plain,
! [SV1075: n,SV1460: n > n,SV1459: n > n,SV1620: n > n,SV1619: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV1619 @ c0 ) @ ( SV1620 @ c0 ) ) @ c0 )
= ( c_plus @ ( SV1459 @ c0 ) @ ( SV1460 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV1619
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV1620
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ c0 ) ) ) ) )
@ c0 )
= ( c_plus
@ ( SV1459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV1460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1619 @ SV1075 ) @ ( SV1620 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1459 @ SV1075 ) @ ( SV1460 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1619 @ SX0 ) @ ( SV1620 @ SX0 ) ) @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) ) ))]]) ).
thf(584,plain,
! [SV1459: n > n,SV1460: n > n] :
( ( ( c0
= ( SV1460 @ c0 ) )
= $false )
| ( ( c0
= ( SV1459 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV1460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV1459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV1459 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV1460 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) ) ))]]) ).
thf(585,plain,
! [SV1460: n > n,SV1459: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV1459 @ c0 ) @ ( SV1460 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV1460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV1459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV1459 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV1460 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) ) ))]]) ).
thf(586,plain,
! [SV1459: n > n,SV1460: n > n] :
( ( ( c0
= ( SV1460 @ c0 ) )
= $false )
| ( ( c0
= ( SV1459 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV1459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
@ ( SV1460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV1459 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV1460 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) ) ))]]) ).
thf(587,plain,
! [SV1460: n > n,SV1459: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV1459 @ c0 ) @ ( SV1460 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV1459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
@ ( SV1460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV1459 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV1460 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) ) ))]]) ).
thf(588,plain,
! [SV1459: n > n,SV1460: n > n] :
( ( ( c0
= ( SV1460 @ c0 ) )
= $false )
| ( ( c0
= ( SV1459 @ c0 ) )
= $false )
| ( ( c0
= ( SV1460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
= ( SV1459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1459 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV1460 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) ) ))]]) ).
thf(589,plain,
! [SV1460: n > n,SV1459: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV1459 @ c0 ) @ ( SV1460 @ c0 ) ) )
= $false )
| ( ( c0
= ( SV1460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
= ( SV1459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1459 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV1460 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) ) ))]]) ).
thf(590,plain,
! [SV1459: n > n,SV1460: n > n] :
( ( ( c0
= ( SV1460 @ c0 ) )
= $false )
| ( ( c0
= ( SV1459 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( c_plus
@ ( SV1459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
@ ( SV1460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1459 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV1460 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) ) ))]]) ).
thf(591,plain,
! [SV1460: n > n,SV1459: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV1459 @ c0 ) @ ( SV1460 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( c_plus
@ ( SV1459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
@ ( SV1460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1459 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV1460 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) ) ))]]) ).
thf(592,plain,
! [SV1075: n,SV1459: n > n,SV1615: n > n,SV1460: n > n,SV1616: n > n] :
( ( ( ( c_plus @ ( SV1615 @ SV1075 ) @ ( SV1616 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1459 @ SV1075 ) @ ( SV1460 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( SV1616 @ c0 )
= ( SV1460 @ c0 ) )
= $false )
| ( ( ( SV1615 @ c0 )
= ( SV1459 @ c0 ) )
= $false )
| ( ( ( SV1616
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1615 @ SX0 ) @ ( SV1616 @ SX0 ) ) ) ) )
= ( SV1460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1615 @ SX0 ) @ ( SV1616 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV1615
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1615 @ SX0 ) @ ( SV1616 @ SX0 ) ) ) ) )
= ( SV1459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1615 @ SX0 ) @ ( SV1616 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1615 @ SX0 ) @ ( SV1616 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) ) ))]]) ).
thf(593,plain,
! [SV1075: n,SV1615: n > n,SV1460: n > n,SV1459: n > n,SV1616: n > n] :
( ( ( ( c_plus @ ( SV1615 @ c0 ) @ ( SV1616 @ c0 ) )
= ( c_plus @ ( SV1459 @ c0 ) @ ( SV1460 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( SV1615 @ SV1075 ) @ ( SV1616 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1459 @ SV1075 ) @ ( SV1460 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( SV1616
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1615 @ SX0 ) @ ( SV1616 @ SX0 ) ) ) ) )
= ( SV1460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1615 @ SX0 ) @ ( SV1616 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV1615
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1615 @ SX0 ) @ ( SV1616 @ SX0 ) ) ) ) )
= ( SV1459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1615 @ SX0 ) @ ( SV1616 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1615 @ SX0 ) @ ( SV1616 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) ) ))]]) ).
thf(594,plain,
! [SV1075: n,SV1459: n > n,SV1615: n > n,SV1460: n > n,SV1616: n > n] :
( ( ( ( c_plus
@ ( SV1615
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1615 @ SX0 ) @ ( SV1616 @ SX0 ) ) ) ) )
@ ( SV1616
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1615 @ SX0 ) @ ( SV1616 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV1459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1615 @ SX0 ) @ ( SV1616 @ SX0 ) ) ) ) )
@ ( SV1460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1615 @ SX0 ) @ ( SV1616 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1615 @ SV1075 ) @ ( SV1616 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1459 @ SV1075 ) @ ( SV1460 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( SV1616 @ c0 )
= ( SV1460 @ c0 ) )
= $false )
| ( ( ( SV1615 @ c0 )
= ( SV1459 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1615 @ SX0 ) @ ( SV1616 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) ) ))]]) ).
thf(595,plain,
! [SV1075: n,SV1460: n > n,SV1459: n > n,SV1616: n > n,SV1615: n > n] :
( ( ( ( c_plus @ ( SV1615 @ c0 ) @ ( SV1616 @ c0 ) )
= ( c_plus @ ( SV1459 @ c0 ) @ ( SV1460 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( SV1615
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1615 @ SX0 ) @ ( SV1616 @ SX0 ) ) ) ) )
@ ( SV1616
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1615 @ SX0 ) @ ( SV1616 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV1459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1615 @ SX0 ) @ ( SV1616 @ SX0 ) ) ) ) )
@ ( SV1460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1615 @ SX0 ) @ ( SV1616 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1615 @ SV1075 ) @ ( SV1616 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1459 @ SV1075 ) @ ( SV1460 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1615 @ SX0 ) @ ( SV1616 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) ) ))]]) ).
thf(596,plain,
! [SV1460: n > n,SV1459: n > n] :
( ( ( c0
= ( c_plus @ ( SV1459 @ c0 ) @ ( SV1460 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( SV1459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV1460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1459 @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) @ ( SV1460 @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1459 @ SX0 ) @ ( SV1460 @ SX0 ) ) ))]]) ).
thf(597,plain,
! [SV1468: n > n,SV1467: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV1467 @ c0 ) @ ( SV1468 @ c0 ) ) @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV1467
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1467 @ SX0 ) @ ( SV1468 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV1468
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1467 @ SX0 ) @ ( SV1468 @ SX0 ) ) @ SX0 ) ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1467 @ SX0 ) @ ( SV1468 @ SX0 ) ) @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1467 @ SX0 ) @ ( SV1468 @ SX0 ) ) @ SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV1467 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV1468 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1467 @ SX0 ) @ ( SV1468 @ SX0 ) ) @ SX0 ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(598,plain,
! [SV1468: n > n,SV1467: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV1467 @ c0 ) @ ( SV1468 @ c0 ) ) @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV1467
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1467 @ SX0 ) @ ( SV1468 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV1468
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1467 @ SX0 ) @ ( SV1468 @ SX0 ) ) @ c0 ) ) ) ) )
@ c0 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1467 @ SX0 ) @ ( SV1468 @ SX0 ) ) @ c0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1467 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV1468 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1467 @ SX0 ) @ ( SV1468 @ SX0 ) ) @ c0 ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(599,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( sK1_Xx = c0 )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(600,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(601,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(602,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(603,plain,
! [SV1464: n > n,SV1463: n > n] :
( ( ( ( c_plus @ ( SV1463 @ c0 ) @ ( SV1464 @ c0 ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV1463
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1463 @ SX0 ) @ ( SV1464 @ SX0 ) ) ) ) )
@ ( SV1464
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1463 @ SX0 ) @ ( SV1464 @ SX0 ) ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1463 @ SX0 ) @ ( SV1464 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1463 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV1464 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1463 @ SX0 ) @ ( SV1464 @ SX0 ) ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(604,plain,
( ( ( sK1_Xx = c0 )
= $false )
| ( ( c0
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(605,plain,
( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[439:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(606,plain,
! [SV1721: n > n,SV1722: n > n] :
( ( ( c0
= ( SV1722 @ c0 ) )
= $false )
| ( ( c0
= ( SV1721 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1721 @ SX0 ) @ ( SV1722 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV1722
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1721 @ SX0 ) @ ( SV1722 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1721 @ SX0 ) @ ( SV1722 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV1721
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1721 @ SX0 ) @ ( SV1722 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1721 @ c0 ) @ ( SV1722 @ c0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1721 @ SX0 ) @ ( SV1722 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(607,plain,
! [SV1722: n > n,SV1721: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV1721 @ c0 ) @ ( SV1722 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1721 @ SX0 ) @ ( SV1722 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV1722
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1721 @ SX0 ) @ ( SV1722 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1721 @ SX0 ) @ ( SV1722 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV1721
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1721 @ SX0 ) @ ( SV1722 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1721 @ c0 ) @ ( SV1722 @ c0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1721 @ SX0 ) @ ( SV1722 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(608,plain,
! [SV1721: n > n,SV1722: n > n] :
( ( ( c0
= ( SV1722 @ c0 ) )
= $false )
| ( ( c0
= ( SV1721 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1721 @ SX0 ) @ ( SV1722 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1721 @ SX0 ) @ ( SV1722 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV1721
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1721 @ SX0 ) @ ( SV1722 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
@ ( SV1722
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1721 @ SX0 ) @ ( SV1722 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1721 @ c0 ) @ ( SV1722 @ c0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1721 @ SX0 ) @ ( SV1722 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(609,plain,
! [SV1722: n > n,SV1721: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV1721 @ c0 ) @ ( SV1722 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1721 @ SX0 ) @ ( SV1722 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1721 @ SX0 ) @ ( SV1722 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV1721
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1721 @ SX0 ) @ ( SV1722 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
@ ( SV1722
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1721 @ SX0 ) @ ( SV1722 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1721 @ c0 ) @ ( SV1722 @ c0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1721 @ SX0 ) @ ( SV1722 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(610,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= $false )
| ( ( c0
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(611,plain,
! [SV1707: n > n,SV1708: n > n] :
( ( ( sK1_Xx
= ( SV1708 @ c0 ) )
= $false )
| ( ( c0
= ( SV1707 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV1708
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1707 @ SX0 ) @ ( SV1708 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1707 @ SX0 ) @ ( SV1708 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
= ( SV1707
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1707 @ SX0 ) @ ( SV1708 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1707 @ c0 ) @ ( SV1708 @ c0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1707 @ SX0 ) @ ( SV1708 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(612,plain,
! [SV1708: n > n,SV1707: n > n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV1707 @ c0 ) @ ( SV1708 @ c0 ) ) )
= $false )
| ( ( sK1_Xx
= ( SV1708
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1707 @ SX0 ) @ ( SV1708 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1707 @ SX0 ) @ ( SV1708 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
= ( SV1707
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1707 @ SX0 ) @ ( SV1708 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1707 @ c0 ) @ ( SV1708 @ c0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1707 @ SX0 ) @ ( SV1708 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(613,plain,
! [SV1707: n > n,SV1708: n > n] :
( ( ( sK1_Xx
= ( SV1708 @ c0 ) )
= $false )
| ( ( c0
= ( SV1707 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1707 @ SX0 ) @ ( SV1708 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
@ sK1_Xx )
= ( c_plus
@ ( SV1707
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1707 @ SX0 ) @ ( SV1708 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) )
@ ( SV1708
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1707 @ SX0 ) @ ( SV1708 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1707 @ c0 ) @ ( SV1708 @ c0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1707 @ SX0 ) @ ( SV1708 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(614,plain,
! [SV1708: n > n,SV1707: n > n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV1707 @ c0 ) @ ( SV1708 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1707 @ SX0 ) @ ( SV1708 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
@ sK1_Xx )
= ( c_plus
@ ( SV1707
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1707 @ SX0 ) @ ( SV1708 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) )
@ ( SV1708
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1707 @ SX0 ) @ ( SV1708 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1707 @ c0 ) @ ( SV1708 @ c0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1707 @ SX0 ) @ ( SV1708 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(615,plain,
( ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
@ sK1_Xx )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) )
= $false )
| ( ( c0
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(616,plain,
! [SV1691: n > n,SV1692: n > n] :
( ( ( c0
= ( SV1692 @ c0 ) )
= $false )
| ( ( c0
= ( SV1691 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1691 @ SX0 ) @ ( SV1692 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
= ( SV1692
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1691 @ SX0 ) @ ( SV1692 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) )
= $false )
| ( ( c0
= ( SV1691
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1691 @ SX0 ) @ ( SV1692 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1691 @ sK1_Xx ) @ ( SV1692 @ sK1_Xx ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1691 @ SX0 ) @ ( SV1692 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(617,plain,
! [SV1692: n > n,SV1691: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV1691 @ c0 ) @ ( SV1692 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1691 @ SX0 ) @ ( SV1692 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
= ( SV1692
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1691 @ SX0 ) @ ( SV1692 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) )
= $false )
| ( ( c0
= ( SV1691
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1691 @ SX0 ) @ ( SV1692 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1691 @ sK1_Xx ) @ ( SV1692 @ sK1_Xx ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1691 @ SX0 ) @ ( SV1692 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(618,plain,
! [SV1691: n > n,SV1692: n > n] :
( ( ( c0
= ( SV1692 @ c0 ) )
= $false )
| ( ( c0
= ( SV1691 @ c0 ) )
= $false )
| ( ( ( c_plus @ c0
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1691 @ SX0 ) @ ( SV1692 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV1691
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1691 @ SX0 ) @ ( SV1692 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
@ ( SV1692
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1691 @ SX0 ) @ ( SV1692 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1691 @ sK1_Xx ) @ ( SV1692 @ sK1_Xx ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1691 @ SX0 ) @ ( SV1692 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(619,plain,
! [SV1692: n > n,SV1691: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV1691 @ c0 ) @ ( SV1692 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ c0
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1691 @ SX0 ) @ ( SV1692 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV1691
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1691 @ SX0 ) @ ( SV1692 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
@ ( SV1692
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1691 @ SX0 ) @ ( SV1692 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1691 @ sK1_Xx ) @ ( SV1692 @ sK1_Xx ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1691 @ SX0 ) @ ( SV1692 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(620,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ c0
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
= $false )
| ( ( sK1_Xx
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(621,plain,
! [SV1075: n,SV1677: n > n,SV1678: n > n] :
( ( ( sK1_Xx
= ( SV1678 @ c0 ) )
= $false )
| ( ( c0
= ( SV1677 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV1678
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1677 @ SX0 ) @ ( SV1678 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( c0
= ( SV1677
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1677 @ SX0 ) @ ( SV1678 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1677 @ SV1075 ) @ ( SV1678 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1677 @ SX0 ) @ ( SV1678 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(622,plain,
! [SV1075: n,SV1678: n > n,SV1677: n > n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV1677 @ c0 ) @ ( SV1678 @ c0 ) ) )
= $false )
| ( ( sK1_Xx
= ( SV1678
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1677 @ SX0 ) @ ( SV1678 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( c0
= ( SV1677
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1677 @ SX0 ) @ ( SV1678 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1677 @ SV1075 ) @ ( SV1678 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1677 @ SX0 ) @ ( SV1678 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(623,plain,
! [SV1075: n,SV1677: n > n,SV1678: n > n] :
( ( ( sK1_Xx
= ( SV1678 @ c0 ) )
= $false )
| ( ( c0
= ( SV1677 @ c0 ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus
@ ( SV1677
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1677 @ SX0 ) @ ( SV1678 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) )
@ ( SV1678
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1677 @ SX0 ) @ ( SV1678 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1677 @ SV1075 ) @ ( SV1678 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1677 @ SX0 ) @ ( SV1678 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(624,plain,
! [SV1075: n,SV1678: n > n,SV1677: n > n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV1677 @ c0 ) @ ( SV1678 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus
@ ( SV1677
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1677 @ SX0 ) @ ( SV1678 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) )
@ ( SV1678
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1677 @ SX0 ) @ ( SV1678 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1677 @ SV1075 ) @ ( SV1678 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1677 @ SX0 ) @ ( SV1678 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(625,plain,
( ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(626,plain,
! [SV1740: n > n,SV1739: n > n,SV1642: n > n,SV1641: n > n] :
( ( ( ( c_plus @ ( SV1641 @ c0 ) @ ( SV1642 @ c0 ) )
= ( c_plus @ ( c_plus @ ( SV1739 @ c0 ) @ ( SV1740 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV1641
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1739 @ SX0 ) @ ( SV1740 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) )
@ ( SV1642
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1739 @ SX0 ) @ ( SV1740 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( c_plus
@ ( SV1739
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1739 @ SX0 ) @ ( SV1740 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) )
@ ( SV1740
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1739 @ SX0 ) @ ( SV1740 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1739 @ SX0 ) @ ( SV1740 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1739 @ c0 ) @ ( SV1740 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1641 @ c0 ) @ ( SV1642 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1739 @ SX0 ) @ ( SV1740 @ SX0 ) ) @ SX0 ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ))]]) ).
thf(627,plain,
! [SV1075: n,SV1740: n > n,SV1739: n > n,SV1642: n > n,SV1641: n > n] :
( ( ( ( c_plus @ ( SV1641 @ c0 ) @ ( SV1642 @ c0 ) )
= ( c_plus @ ( c_plus @ ( SV1739 @ c0 ) @ ( SV1740 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV1641
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1739 @ SX0 ) @ ( SV1740 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) )
@ ( SV1642
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1739 @ SX0 ) @ ( SV1740 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( c_plus
@ ( SV1739
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1739 @ SX0 ) @ ( SV1740 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) )
@ ( SV1740
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1739 @ SX0 ) @ ( SV1740 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) ) )
@ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1739 @ SV1075 ) @ ( SV1740 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1641 @ SV1075 ) @ ( SV1642 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1739 @ SX0 ) @ ( SV1740 @ SX0 ) ) @ c0 ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ))]]) ).
thf(628,plain,
! [SV1642: n > n,SV1641: n > n] :
( ( ( ( c_plus @ ( SV1641 @ c0 ) @ ( SV1642 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV1641
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) )
@ ( SV1642
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV1641 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV1642 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ))]]) ).
thf(629,plain,
! [SV1642: n > n,SV1641: n > n] :
( ( ( ( c_plus @ ( SV1641 @ c0 ) @ ( SV1642 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV1641
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) )
@ ( SV1642
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) )
@ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1641 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV1642 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ))]]) ).
thf(630,plain,
! [SV1075: n,SV1735: n > n,SV1641: n > n,SV1736: n > n,SV1642: n > n] :
( ( ( ( c_plus @ ( SV1735 @ SV1075 ) @ ( SV1736 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1641 @ SV1075 ) @ ( SV1642 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( SV1642 @ c0 )
= ( SV1736 @ c0 ) )
= $false )
| ( ( ( SV1641 @ c0 )
= ( SV1735 @ c0 ) )
= $false )
| ( ( ( SV1642
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1735 @ SX0 ) @ ( SV1736 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) )
= ( SV1736
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1735 @ SX0 ) @ ( SV1736 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV1641
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1735 @ SX0 ) @ ( SV1736 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) )
= ( SV1735
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1735 @ SX0 ) @ ( SV1736 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1735 @ SX0 ) @ ( SV1736 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ))]]) ).
thf(631,plain,
! [SV1075: n,SV1641: n > n,SV1736: n > n,SV1735: n > n,SV1642: n > n] :
( ( ( ( c_plus @ ( SV1641 @ c0 ) @ ( SV1642 @ c0 ) )
= ( c_plus @ ( SV1735 @ c0 ) @ ( SV1736 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( SV1735 @ SV1075 ) @ ( SV1736 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1641 @ SV1075 ) @ ( SV1642 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( SV1642
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1735 @ SX0 ) @ ( SV1736 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) )
= ( SV1736
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1735 @ SX0 ) @ ( SV1736 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV1641
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1735 @ SX0 ) @ ( SV1736 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) )
= ( SV1735
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1735 @ SX0 ) @ ( SV1736 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1735 @ SX0 ) @ ( SV1736 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ))]]) ).
thf(632,plain,
! [SV1075: n,SV1735: n > n,SV1641: n > n,SV1736: n > n,SV1642: n > n] :
( ( ( ( c_plus
@ ( SV1641
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1735 @ SX0 ) @ ( SV1736 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) )
@ ( SV1642
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1735 @ SX0 ) @ ( SV1736 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV1735
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1735 @ SX0 ) @ ( SV1736 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) )
@ ( SV1736
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1735 @ SX0 ) @ ( SV1736 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1735 @ SV1075 ) @ ( SV1736 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1641 @ SV1075 ) @ ( SV1642 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( SV1642 @ c0 )
= ( SV1736 @ c0 ) )
= $false )
| ( ( ( SV1641 @ c0 )
= ( SV1735 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1735 @ SX0 ) @ ( SV1736 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ))]]) ).
thf(633,plain,
! [SV1075: n,SV1736: n > n,SV1735: n > n,SV1642: n > n,SV1641: n > n] :
( ( ( ( c_plus @ ( SV1641 @ c0 ) @ ( SV1642 @ c0 ) )
= ( c_plus @ ( SV1735 @ c0 ) @ ( SV1736 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( SV1641
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1735 @ SX0 ) @ ( SV1736 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) )
@ ( SV1642
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1735 @ SX0 ) @ ( SV1736 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV1735
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1735 @ SX0 ) @ ( SV1736 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) )
@ ( SV1736
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1735 @ SX0 ) @ ( SV1736 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1735 @ SV1075 ) @ ( SV1736 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1641 @ SV1075 ) @ ( SV1642 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1735 @ SX0 ) @ ( SV1736 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ))]]) ).
thf(634,plain,
! [SV1642: n > n,SV1641: n > n] :
( ( ( ( c_plus @ ( SV1641 @ c0 ) @ ( SV1642 @ c0 ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV1641
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) )
@ ( SV1642
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1641 @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) @ ( SV1642 @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1641 @ SX0 ) @ ( SV1642 @ SX0 ) ) ))]]) ).
thf(635,plain,
! [SV1650: n > n,SV1649: n > n] :
( ( ( c0
= ( c_plus @ ( c_plus @ ( SV1649 @ c0 ) @ ( SV1650 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1649 @ SX0 ) @ ( SV1650 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( c_plus
@ ( SV1649
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1649 @ SX0 ) @ ( SV1650 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV1650
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1649 @ SX0 ) @ ( SV1650 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1649 @ SX0 ) @ ( SV1650 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV1649 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV1650 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1649 @ SX0 ) @ ( SV1650 @ SX0 ) ) @ SX0 ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(636,plain,
! [SV1650: n > n,SV1649: n > n] :
( ( ( c0
= ( c_plus @ ( c_plus @ ( SV1649 @ c0 ) @ ( SV1650 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1649 @ SX0 ) @ ( SV1650 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( c_plus
@ ( SV1649
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1649 @ SX0 ) @ ( SV1650 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV1650
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1649 @ SX0 ) @ ( SV1650 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : SX0 ) ) ) )
@ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1649 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV1650 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1649 @ SX0 ) @ ( SV1650 @ SX0 ) ) @ c0 ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(637,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( sK1_Xx = c0 )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(638,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
@ c0 ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(639,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(640,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
@ c0 ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(641,plain,
! [SV1646: n > n,SV1645: n > n] :
( ( ( c0
= ( c_plus @ ( SV1645 @ c0 ) @ ( SV1646 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1645 @ SX0 ) @ ( SV1646 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( SV1645
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1645 @ SX0 ) @ ( SV1646 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV1646
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1645 @ SX0 ) @ ( SV1646 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1645 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV1646 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1645 @ SX0 ) @ ( SV1646 @ SX0 ) ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(642,plain,
( ( ( sK1_Xx = c0 )
= $false )
| ( ( c0
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(643,plain,
( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[439:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(644,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(645,plain,
( ( ( sK1_Xx
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : sK1_Xx ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : sK1_Xx ) ) ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1076,$thf( ^ [SX0: n] : sK1_Xx )),bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(646,plain,
( ( ( c0
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 ) )
@ sK1_Xx ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(647,plain,
( ( ( sK1_Xx
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( sK1_Xx
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : sK1_Xx ) )
@ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1076,$thf( ^ [SX0: n] : sK1_Xx )),bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(648,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus @ c0
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(649,plain,
( ( ( sK1_Xx
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( c_plus @ c0
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : sK1_Xx ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1076,$thf( ^ [SX0: n] : sK1_Xx )),bind(SV1075,$thf( sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(650,plain,
( ( ( c0
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(651,plain,
( ( ( sK1_Xx
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( sK1_Xx
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1076,$thf( ^ [SX0: n] : sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(652,plain,
! [SV1841: n > n,SV1840: n > n] :
( ( ( c0
= ( c_plus @ ( SV1840 @ c0 ) @ ( SV1841 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1840 @ SX0 ) @ ( SV1841 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( SV1840
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1840 @ SX0 ) @ ( SV1841 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV1841
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1840 @ SX0 ) @ ( SV1841 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1840 @ sK1_Xx ) @ ( SV1841 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1840 @ SX0 ) @ ( SV1841 @ SX0 ) ) ))]]) ).
thf(653,plain,
! [SV1075: n,SV1841: n > n,SV1840: n > n] :
( ( ( sK1_Xx
= ( c_plus @ ( SV1840 @ c0 ) @ ( SV1841 @ c0 ) ) )
= $false )
| ( ( sK1_Xx
= ( c_plus
@ ( SV1840
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1840 @ SX0 ) @ ( SV1841 @ SX0 ) )
@ ^ [SX0: n] : sK1_Xx ) ) )
@ ( SV1841
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1840 @ SX0 ) @ ( SV1841 @ SX0 ) )
@ ^ [SX0: n] : sK1_Xx ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1840 @ SV1075 ) @ ( SV1841 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1076,$thf( ^ [SX0: n] : sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1840 @ SX0 ) @ ( SV1841 @ SX0 ) ) ))]]) ).
thf(654,plain,
( ( ( c_plus @ c0 @ sK1_Xx )
= sK1_Xx )
= $false ),
inference(extuni,[status(esa)],[438:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(655,plain,
( ( ( sK1_Xx = c0 )
= $false )
| ( ( sK1_Xx
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : sK1_Xx ) ) )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1076,$thf( ^ [SX0: n] : sK1_Xx )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(656,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(657,plain,
( ( ( ( c_plus @ c0 @ c0 )
= sK1_Xx )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : sK1_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : sK1_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= sK1_Xx )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1074,$thf( ^ [SX0: n] : sK1_Xx )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(658,plain,
( ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
@ sK1_Xx )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(659,plain,
( ( ( ( c_plus @ c0 @ sK1_Xx )
= sK1_Xx )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : sK1_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
@ sK1_Xx )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1074,$thf( ^ [SX0: n] : sK1_Xx )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(660,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ c0
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(661,plain,
( ( ( ( c_plus @ c0 @ c0 )
= sK1_Xx )
= $false )
| ( ( ( c_plus @ c0
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : sK1_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1074,$thf( ^ [SX0: n] : sK1_Xx )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(662,plain,
( ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1075,$thf( sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(663,plain,
( ( ( ( c_plus @ c0 @ sK1_Xx )
= sK1_Xx )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1074,$thf( ^ [SX0: n] : sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(664,plain,
! [SV1863: n > n,SV1862: n > n] :
( ( ( ( c_plus @ ( SV1862 @ c0 ) @ ( SV1863 @ c0 ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV1862
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1862 @ SX0 ) @ ( SV1863 @ SX0 ) ) ) ) )
@ ( SV1863
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1862 @ SX0 ) @ ( SV1863 @ SX0 ) ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1862 @ SX0 ) @ ( SV1863 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1862 @ sK1_Xx ) @ ( SV1863 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1075,$thf( sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1862 @ SX0 ) @ ( SV1863 @ SX0 ) ) ))]]) ).
thf(665,plain,
! [SV1075: n,SV1863: n > n,SV1862: n > n] :
( ( ( ( c_plus @ ( SV1862 @ c0 ) @ ( SV1863 @ c0 ) )
= sK1_Xx )
= $false )
| ( ( ( c_plus
@ ( SV1862
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : sK1_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1862 @ SX0 ) @ ( SV1863 @ SX0 ) ) ) ) )
@ ( SV1863
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : sK1_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1862 @ SX0 ) @ ( SV1863 @ SX0 ) ) ) ) ) )
= sK1_Xx )
= $false )
| ( ( ( c_plus @ ( SV1862 @ SV1075 ) @ ( SV1863 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1074,$thf( ^ [SX0: n] : sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1862 @ SX0 ) @ ( SV1863 @ SX0 ) ) ))]]) ).
thf(666,plain,
( ( ( c_plus @ c0 @ sK1_Xx )
= sK1_Xx )
= $false ),
inference(extuni,[status(esa)],[438:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(667,plain,
( ( ( c0 = sK1_Xx )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : sK1_Xx
@ ^ [SX0: n] : SX0 ) )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[438:[bind(SV1074,$thf( ^ [SX0: n] : sK1_Xx )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(668,plain,
! [SV2008: n > n,SV2007: n > n] :
( ( ( ( c_plus @ ( SV2007 @ c0 ) @ ( SV2008 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV2007
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2007 @ SX0 ) @ ( SV2008 @ SX0 ) ) ) ) )
@ ( SV2008
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2007 @ SX0 ) @ ( SV2008 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2007 @ SX0 ) @ ( SV2008 @ SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2007 @ SX0 ) @ ( SV2008 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2007 @ sK1_Xx ) @ ( SV2008 @ sK1_Xx ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2007 @ SX0 ) @ ( SV2008 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(669,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( sK1_Xx
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(670,plain,
! [SV1977: n > n,SV1976: n > n] :
( ( ( ( c_plus @ ( SV1976 @ c0 ) @ ( SV1977 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV1976
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1976 @ SX0 ) @ ( SV1977 @ SX0 ) ) ) ) )
@ ( SV1977
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1976 @ SX0 ) @ ( SV1977 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1976 @ SX0 ) @ ( SV1977 @ SX0 ) ) ) )
@ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1976 @ sK1_Xx ) @ ( SV1977 @ sK1_Xx ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1976 @ SX0 ) @ ( SV1977 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(671,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
@ c0 ) )
= $false )
| ( ( sK1_Xx
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(672,plain,
! [SV1947: n > n,SV1946: n > n] :
( ( ( ( c_plus @ ( SV1946 @ c0 ) @ ( SV1947 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV1946
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1946 @ SX0 ) @ ( SV1947 @ SX0 ) ) ) ) )
@ ( SV1947
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1946 @ SX0 ) @ ( SV1947 @ SX0 ) ) ) ) ) )
= ( c_plus @ sK1_Xx
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1946 @ SX0 ) @ ( SV1947 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1946 @ c0 ) @ ( SV1947 @ c0 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1946 @ SX0 ) @ ( SV1947 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(673,plain,
( ( ( c0
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus @ sK1_Xx
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( c0
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(674,plain,
! [SV1075: n,SV1921: n > n,SV1920: n > n] :
( ( ( ( c_plus @ ( SV1920 @ c0 ) @ ( SV1921 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV1920
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1920 @ SX0 ) @ ( SV1921 @ SX0 ) ) ) ) )
@ ( SV1921
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV1920 @ SX0 ) @ ( SV1921 @ SX0 ) ) ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1920 @ SV1075 ) @ ( SV1921 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1920 @ SX0 ) @ ( SV1921 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(675,plain,
( ( ( c0
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1075,$thf( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(676,plain,
! [SV1884: n > n,SV2045: n > n,SV2044: n > n,SV1885: n > n] :
( ( ( c0
= ( SV1885 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2044 @ c0 ) @ ( SV2045 @ c0 ) )
= ( SV1884 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) ) )
= ( SV1885
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus
@ ( SV2044
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV2045
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) ) ) ) )
= ( SV1884
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2044 @ c0 ) @ ( SV2045 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV1884 @ c0 ) @ ( SV1885 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) ) ))]]) ).
thf(677,plain,
! [SV1885: n > n,SV1884: n > n,SV2045: n > n,SV2044: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV2044 @ c0 ) @ ( SV2045 @ c0 ) ) @ c0 )
= ( c_plus @ ( SV1884 @ c0 ) @ ( SV1885 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) ) )
= ( SV1885
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus
@ ( SV2044
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV2045
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) ) ) ) )
= ( SV1884
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2044 @ c0 ) @ ( SV2045 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV1884 @ c0 ) @ ( SV1885 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) ) ))]]) ).
thf(678,plain,
! [SV1884: n > n,SV2045: n > n,SV2044: n > n,SV1885: n > n] :
( ( ( c0
= ( SV1885 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2044 @ c0 ) @ ( SV2045 @ c0 ) )
= ( SV1884 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV2044
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV2045
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) ) ) )
= ( c_plus
@ ( SV1884
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV1885
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2044 @ c0 ) @ ( SV2045 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV1884 @ c0 ) @ ( SV1885 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) ) ))]]) ).
thf(679,plain,
! [SV1885: n > n,SV1884: n > n,SV2045: n > n,SV2044: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV2044 @ c0 ) @ ( SV2045 @ c0 ) ) @ c0 )
= ( c_plus @ ( SV1884 @ c0 ) @ ( SV1885 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV2044
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV2045
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) ) ) )
= ( c_plus
@ ( SV1884
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV1885
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2044 @ c0 ) @ ( SV2045 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV1884 @ c0 ) @ ( SV1885 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) ) ))]]) ).
thf(680,plain,
! [SV1075: n,SV1884: n > n,SV2045: n > n,SV2044: n > n,SV1885: n > n] :
( ( ( c0
= ( SV1885 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2044 @ c0 ) @ ( SV2045 @ c0 ) )
= ( SV1884 @ c0 ) )
= $false )
| ( ( c0
= ( SV1885
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus
@ ( SV2044
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV2045
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ c0 ) ) ) ) )
= ( SV1884
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2044 @ SV1075 ) @ ( SV2045 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV1884 @ SV1075 ) @ ( SV1885 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) ) ))]]) ).
thf(681,plain,
! [SV1075: n,SV1885: n > n,SV1884: n > n,SV2045: n > n,SV2044: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV2044 @ c0 ) @ ( SV2045 @ c0 ) ) @ c0 )
= ( c_plus @ ( SV1884 @ c0 ) @ ( SV1885 @ c0 ) ) )
= $false )
| ( ( c0
= ( SV1885
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus
@ ( SV2044
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV2045
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ c0 ) ) ) ) )
= ( SV1884
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2044 @ SV1075 ) @ ( SV2045 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV1884 @ SV1075 ) @ ( SV1885 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) ) ))]]) ).
thf(682,plain,
! [SV1075: n,SV1884: n > n,SV2045: n > n,SV2044: n > n,SV1885: n > n] :
( ( ( c0
= ( SV1885 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2044 @ c0 ) @ ( SV2045 @ c0 ) )
= ( SV1884 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV2044
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV2045
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ c0 ) ) ) ) )
@ c0 )
= ( c_plus
@ ( SV1884
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV1885
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2044 @ SV1075 ) @ ( SV2045 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV1884 @ SV1075 ) @ ( SV1885 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) ) ))]]) ).
thf(683,plain,
! [SV1075: n,SV1885: n > n,SV1884: n > n,SV2045: n > n,SV2044: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV2044 @ c0 ) @ ( SV2045 @ c0 ) ) @ c0 )
= ( c_plus @ ( SV1884 @ c0 ) @ ( SV1885 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV2044
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV2045
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ c0 ) ) ) ) )
@ c0 )
= ( c_plus
@ ( SV1884
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV1885
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2044 @ SV1075 ) @ ( SV2045 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV1884 @ SV1075 ) @ ( SV1885 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2044 @ SX0 ) @ ( SV2045 @ SX0 ) ) @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) ) ))]]) ).
thf(684,plain,
! [SV1884: n > n,SV1885: n > n] :
( ( ( c0
= ( SV1885 @ c0 ) )
= $false )
| ( ( c0
= ( SV1884 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV1885
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV1884
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV1884 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV1885 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) ) ))]]) ).
thf(685,plain,
! [SV1885: n > n,SV1884: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV1884 @ c0 ) @ ( SV1885 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV1885
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV1884
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV1884 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV1885 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) ) ))]]) ).
thf(686,plain,
! [SV1884: n > n,SV1885: n > n] :
( ( ( c0
= ( SV1885 @ c0 ) )
= $false )
| ( ( c0
= ( SV1884 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV1884
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
@ ( SV1885
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV1884 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV1885 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) ) ))]]) ).
thf(687,plain,
! [SV1885: n > n,SV1884: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV1884 @ c0 ) @ ( SV1885 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV1884
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
@ ( SV1885
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV1884 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV1885 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) ) ))]]) ).
thf(688,plain,
! [SV1884: n > n,SV1885: n > n] :
( ( ( c0
= ( SV1885 @ c0 ) )
= $false )
| ( ( c0
= ( SV1884 @ c0 ) )
= $false )
| ( ( c0
= ( SV1885
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
= ( SV1884
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1884 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV1885 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) ) ))]]) ).
thf(689,plain,
! [SV1885: n > n,SV1884: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV1884 @ c0 ) @ ( SV1885 @ c0 ) ) )
= $false )
| ( ( c0
= ( SV1885
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
= ( SV1884
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1884 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV1885 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) ) ))]]) ).
thf(690,plain,
! [SV1884: n > n,SV1885: n > n] :
( ( ( c0
= ( SV1885 @ c0 ) )
= $false )
| ( ( c0
= ( SV1884 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( c_plus
@ ( SV1884
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
@ ( SV1885
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1884 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV1885 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) ) ))]]) ).
thf(691,plain,
! [SV1885: n > n,SV1884: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV1884 @ c0 ) @ ( SV1885 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( c_plus
@ ( SV1884
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
@ ( SV1885
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1884 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV1885 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) ) ))]]) ).
thf(692,plain,
! [SV1075: n,SV1884: n > n,SV2040: n > n,SV1885: n > n,SV2041: n > n] :
( ( ( ( c_plus @ ( SV2040 @ SV1075 ) @ ( SV2041 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1884 @ SV1075 ) @ ( SV1885 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( SV2041 @ c0 )
= ( SV1885 @ c0 ) )
= $false )
| ( ( ( SV2040 @ c0 )
= ( SV1884 @ c0 ) )
= $false )
| ( ( ( SV2041
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2040 @ SX0 ) @ ( SV2041 @ SX0 ) ) ) ) )
= ( SV1885
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2040 @ SX0 ) @ ( SV2041 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV2040
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2040 @ SX0 ) @ ( SV2041 @ SX0 ) ) ) ) )
= ( SV1884
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2040 @ SX0 ) @ ( SV2041 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2040 @ SX0 ) @ ( SV2041 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) ) ))]]) ).
thf(693,plain,
! [SV1075: n,SV2040: n > n,SV1885: n > n,SV1884: n > n,SV2041: n > n] :
( ( ( ( c_plus @ ( SV2040 @ c0 ) @ ( SV2041 @ c0 ) )
= ( c_plus @ ( SV1884 @ c0 ) @ ( SV1885 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( SV2040 @ SV1075 ) @ ( SV2041 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1884 @ SV1075 ) @ ( SV1885 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( SV2041
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2040 @ SX0 ) @ ( SV2041 @ SX0 ) ) ) ) )
= ( SV1885
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2040 @ SX0 ) @ ( SV2041 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV2040
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2040 @ SX0 ) @ ( SV2041 @ SX0 ) ) ) ) )
= ( SV1884
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2040 @ SX0 ) @ ( SV2041 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2040 @ SX0 ) @ ( SV2041 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) ) ))]]) ).
thf(694,plain,
! [SV1075: n,SV1884: n > n,SV2040: n > n,SV1885: n > n,SV2041: n > n] :
( ( ( ( c_plus
@ ( SV2040
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2040 @ SX0 ) @ ( SV2041 @ SX0 ) ) ) ) )
@ ( SV2041
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2040 @ SX0 ) @ ( SV2041 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV1884
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2040 @ SX0 ) @ ( SV2041 @ SX0 ) ) ) ) )
@ ( SV1885
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2040 @ SX0 ) @ ( SV2041 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2040 @ SV1075 ) @ ( SV2041 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1884 @ SV1075 ) @ ( SV1885 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( SV2041 @ c0 )
= ( SV1885 @ c0 ) )
= $false )
| ( ( ( SV2040 @ c0 )
= ( SV1884 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2040 @ SX0 ) @ ( SV2041 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) ) ))]]) ).
thf(695,plain,
! [SV1075: n,SV1885: n > n,SV1884: n > n,SV2041: n > n,SV2040: n > n] :
( ( ( ( c_plus @ ( SV2040 @ c0 ) @ ( SV2041 @ c0 ) )
= ( c_plus @ ( SV1884 @ c0 ) @ ( SV1885 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( SV2040
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2040 @ SX0 ) @ ( SV2041 @ SX0 ) ) ) ) )
@ ( SV2041
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2040 @ SX0 ) @ ( SV2041 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV1884
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2040 @ SX0 ) @ ( SV2041 @ SX0 ) ) ) ) )
@ ( SV1885
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2040 @ SX0 ) @ ( SV2041 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2040 @ SV1075 ) @ ( SV2041 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV1884 @ SV1075 ) @ ( SV1885 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2040 @ SX0 ) @ ( SV2041 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) ) ))]]) ).
thf(696,plain,
! [SV1885: n > n,SV1884: n > n] :
( ( ( c0
= ( c_plus @ ( SV1884 @ c0 ) @ ( SV1885 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( SV1884
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV1885
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1884 @ ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) ) @ ( SV1885 @ ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1075,$thf( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV1884 @ SX0 ) @ ( SV1885 @ SX0 ) ) ))]]) ).
thf(697,plain,
! [SV1893: n > n,SV1892: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV1892 @ c0 ) @ ( SV1893 @ c0 ) ) @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV1892
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1892 @ SX0 ) @ ( SV1893 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV1893
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1892 @ SX0 ) @ ( SV1893 @ SX0 ) ) @ SX0 ) ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1892 @ SX0 ) @ ( SV1893 @ SX0 ) ) @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1892 @ SX0 ) @ ( SV1893 @ SX0 ) ) @ SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV1892 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV1893 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1892 @ SX0 ) @ ( SV1893 @ SX0 ) ) @ SX0 ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(698,plain,
! [SV1893: n > n,SV1892: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV1892 @ c0 ) @ ( SV1893 @ c0 ) ) @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV1892
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1892 @ SX0 ) @ ( SV1893 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV1893
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1892 @ SX0 ) @ ( SV1893 @ SX0 ) ) @ c0 ) ) ) ) )
@ c0 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1892 @ SX0 ) @ ( SV1893 @ SX0 ) ) @ c0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1892 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV1893 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV1892 @ SX0 ) @ ( SV1893 @ SX0 ) ) @ c0 ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(699,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( c0 = sK1_Xx )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(700,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(701,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(702,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(703,plain,
! [SV1889: n > n,SV1888: n > n] :
( ( ( ( c_plus @ ( SV1888 @ c0 ) @ ( SV1889 @ c0 ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV1888
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1888 @ SX0 ) @ ( SV1889 @ SX0 ) ) ) ) )
@ ( SV1889
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1888 @ SX0 ) @ ( SV1889 @ SX0 ) ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV1888 @ SX0 ) @ ( SV1889 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV1888 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV1889 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV1888 @ SX0 ) @ ( SV1889 @ SX0 ) ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(704,plain,
( ( sK1_Xx
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(705,plain,
( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[437:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(706,plain,
! [SV2146: n > n,SV2147: n > n] :
( ( ( c0
= ( SV2147 @ c0 ) )
= $false )
| ( ( c0
= ( SV2146 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2146 @ SX0 ) @ ( SV2147 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV2147
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2146 @ SX0 ) @ ( SV2147 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2146 @ SX0 ) @ ( SV2147 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV2146
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2146 @ SX0 ) @ ( SV2147 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2146 @ sK1_Xx ) @ ( SV2147 @ sK1_Xx ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2146 @ SX0 ) @ ( SV2147 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(707,plain,
! [SV2147: n > n,SV2146: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV2146 @ c0 ) @ ( SV2147 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2146 @ SX0 ) @ ( SV2147 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV2147
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2146 @ SX0 ) @ ( SV2147 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2146 @ SX0 ) @ ( SV2147 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV2146
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2146 @ SX0 ) @ ( SV2147 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2146 @ sK1_Xx ) @ ( SV2147 @ sK1_Xx ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2146 @ SX0 ) @ ( SV2147 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(708,plain,
! [SV2146: n > n,SV2147: n > n] :
( ( ( c0
= ( SV2147 @ c0 ) )
= $false )
| ( ( c0
= ( SV2146 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2146 @ SX0 ) @ ( SV2147 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2146 @ SX0 ) @ ( SV2147 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV2146
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2146 @ SX0 ) @ ( SV2147 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
@ ( SV2147
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2146 @ SX0 ) @ ( SV2147 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2146 @ sK1_Xx ) @ ( SV2147 @ sK1_Xx ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2146 @ SX0 ) @ ( SV2147 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(709,plain,
! [SV2147: n > n,SV2146: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV2146 @ c0 ) @ ( SV2147 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2146 @ SX0 ) @ ( SV2147 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2146 @ SX0 ) @ ( SV2147 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV2146
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2146 @ SX0 ) @ ( SV2147 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
@ ( SV2147
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2146 @ SX0 ) @ ( SV2147 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2146 @ sK1_Xx ) @ ( SV2147 @ sK1_Xx ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2146 @ SX0 ) @ ( SV2147 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(710,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= $false )
| ( ( sK1_Xx
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(711,plain,
! [SV2132: n > n,SV2133: n > n] :
( ( ( c0
= ( SV2133 @ c0 ) )
= $false )
| ( ( c0
= ( SV2132 @ c0 ) )
= $false )
| ( ( c0
= ( SV2133
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2132 @ SX0 ) @ ( SV2133 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2132 @ SX0 ) @ ( SV2133 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
= ( SV2132
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2132 @ SX0 ) @ ( SV2133 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2132 @ sK1_Xx ) @ ( SV2133 @ sK1_Xx ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2132 @ SX0 ) @ ( SV2133 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(712,plain,
! [SV2133: n > n,SV2132: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV2132 @ c0 ) @ ( SV2133 @ c0 ) ) )
= $false )
| ( ( c0
= ( SV2133
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2132 @ SX0 ) @ ( SV2133 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2132 @ SX0 ) @ ( SV2133 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
= ( SV2132
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2132 @ SX0 ) @ ( SV2133 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2132 @ sK1_Xx ) @ ( SV2133 @ sK1_Xx ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2132 @ SX0 ) @ ( SV2133 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(713,plain,
! [SV2132: n > n,SV2133: n > n] :
( ( ( c0
= ( SV2133 @ c0 ) )
= $false )
| ( ( c0
= ( SV2132 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2132 @ SX0 ) @ ( SV2133 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( c_plus
@ ( SV2132
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2132 @ SX0 ) @ ( SV2133 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
@ ( SV2133
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2132 @ SX0 ) @ ( SV2133 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2132 @ sK1_Xx ) @ ( SV2133 @ sK1_Xx ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2132 @ SX0 ) @ ( SV2133 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(714,plain,
! [SV2133: n > n,SV2132: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV2132 @ c0 ) @ ( SV2133 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2132 @ SX0 ) @ ( SV2133 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( c_plus
@ ( SV2132
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2132 @ SX0 ) @ ( SV2133 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
@ ( SV2133
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2132 @ SX0 ) @ ( SV2133 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2132 @ sK1_Xx ) @ ( SV2133 @ sK1_Xx ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2132 @ SX0 ) @ ( SV2133 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(715,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
= $false )
| ( ( sK1_Xx
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(716,plain,
! [SV2116: n > n,SV2117: n > n] :
( ( ( c0
= ( SV2117 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV2116 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2116 @ SX0 ) @ ( SV2117 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) )
= ( SV2117
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2116 @ SX0 ) @ ( SV2117 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) ) )
= $false )
| ( ( sK1_Xx
= ( SV2116
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2116 @ SX0 ) @ ( SV2117 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2116 @ c0 ) @ ( SV2117 @ c0 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2116 @ SX0 ) @ ( SV2117 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(717,plain,
! [SV2117: n > n,SV2116: n > n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( SV2116 @ c0 ) @ ( SV2117 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2116 @ SX0 ) @ ( SV2117 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) )
= ( SV2117
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2116 @ SX0 ) @ ( SV2117 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) ) )
= $false )
| ( ( sK1_Xx
= ( SV2116
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2116 @ SX0 ) @ ( SV2117 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2116 @ c0 ) @ ( SV2117 @ c0 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2116 @ SX0 ) @ ( SV2117 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(718,plain,
! [SV2116: n > n,SV2117: n > n] :
( ( ( c0
= ( SV2117 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV2116 @ c0 ) )
= $false )
| ( ( ( c_plus @ sK1_Xx
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2116 @ SX0 ) @ ( SV2117 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) )
= ( c_plus
@ ( SV2116
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2116 @ SX0 ) @ ( SV2117 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) )
@ ( SV2117
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2116 @ SX0 ) @ ( SV2117 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2116 @ c0 ) @ ( SV2117 @ c0 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2116 @ SX0 ) @ ( SV2117 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(719,plain,
! [SV2117: n > n,SV2116: n > n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( SV2116 @ c0 ) @ ( SV2117 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2116 @ SX0 ) @ ( SV2117 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) )
= ( c_plus
@ ( SV2116
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2116 @ SX0 ) @ ( SV2117 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) )
@ ( SV2117
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2116 @ SX0 ) @ ( SV2117 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2116 @ c0 ) @ ( SV2117 @ c0 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2116 @ SX0 ) @ ( SV2117 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(720,plain,
( ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ sK1_Xx
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) )
= $false )
| ( ( c0
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ))]]) ).
thf(721,plain,
! [SV1075: n,SV2102: n > n,SV2103: n > n] :
( ( ( c0
= ( SV2103 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV2102 @ c0 ) )
= $false )
| ( ( c0
= ( SV2103
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2102 @ SX0 ) @ ( SV2103 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) ) )
= $false )
| ( ( sK1_Xx
= ( SV2102
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2102 @ SX0 ) @ ( SV2103 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2102 @ SV1075 ) @ ( SV2103 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2102 @ SX0 ) @ ( SV2103 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(722,plain,
! [SV1075: n,SV2103: n > n,SV2102: n > n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( SV2102 @ c0 ) @ ( SV2103 @ c0 ) ) )
= $false )
| ( ( c0
= ( SV2103
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2102 @ SX0 ) @ ( SV2103 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) ) )
= $false )
| ( ( sK1_Xx
= ( SV2102
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2102 @ SX0 ) @ ( SV2103 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2102 @ SV1075 ) @ ( SV2103 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2102 @ SX0 ) @ ( SV2103 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(723,plain,
! [SV1075: n,SV2102: n > n,SV2103: n > n] :
( ( ( c0
= ( SV2103 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV2102 @ c0 ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus
@ ( SV2102
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2102 @ SX0 ) @ ( SV2103 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) )
@ ( SV2103
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2102 @ SX0 ) @ ( SV2103 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2102 @ SV1075 ) @ ( SV2103 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2102 @ SX0 ) @ ( SV2103 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(724,plain,
! [SV1075: n,SV2103: n > n,SV2102: n > n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( SV2102 @ c0 ) @ ( SV2103 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus
@ ( SV2102
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2102 @ SX0 ) @ ( SV2103 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) )
@ ( SV2103
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2102 @ SX0 ) @ ( SV2103 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2102 @ SV1075 ) @ ( SV2103 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2102 @ SX0 ) @ ( SV2103 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(725,plain,
( ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1075,$thf( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ))]]) ).
thf(726,plain,
! [SV2165: n > n,SV2164: n > n,SV2067: n > n,SV2066: n > n] :
( ( ( ( c_plus @ ( SV2066 @ c0 ) @ ( SV2067 @ c0 ) )
= ( c_plus @ ( c_plus @ ( SV2164 @ c0 ) @ ( SV2165 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV2066
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2164 @ SX0 ) @ ( SV2165 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) )
@ ( SV2067
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2164 @ SX0 ) @ ( SV2165 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( c_plus
@ ( SV2164
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2164 @ SX0 ) @ ( SV2165 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) )
@ ( SV2165
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2164 @ SX0 ) @ ( SV2165 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2164 @ SX0 ) @ ( SV2165 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2164 @ c0 ) @ ( SV2165 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV2066 @ c0 ) @ ( SV2067 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2164 @ SX0 ) @ ( SV2165 @ SX0 ) ) @ SX0 ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ))]]) ).
thf(727,plain,
! [SV1075: n,SV2165: n > n,SV2164: n > n,SV2067: n > n,SV2066: n > n] :
( ( ( ( c_plus @ ( SV2066 @ c0 ) @ ( SV2067 @ c0 ) )
= ( c_plus @ ( c_plus @ ( SV2164 @ c0 ) @ ( SV2165 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV2066
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2164 @ SX0 ) @ ( SV2165 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) )
@ ( SV2067
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2164 @ SX0 ) @ ( SV2165 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( c_plus
@ ( SV2164
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2164 @ SX0 ) @ ( SV2165 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) )
@ ( SV2165
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2164 @ SX0 ) @ ( SV2165 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) ) )
@ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2164 @ SV1075 ) @ ( SV2165 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV2066 @ SV1075 ) @ ( SV2067 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2164 @ SX0 ) @ ( SV2165 @ SX0 ) ) @ c0 ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ))]]) ).
thf(728,plain,
! [SV2067: n > n,SV2066: n > n] :
( ( ( ( c_plus @ ( SV2066 @ c0 ) @ ( SV2067 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV2066
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) )
@ ( SV2067
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV2066 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV2067 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ))]]) ).
thf(729,plain,
! [SV2067: n > n,SV2066: n > n] :
( ( ( ( c_plus @ ( SV2066 @ c0 ) @ ( SV2067 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV2066
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) )
@ ( SV2067
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) )
@ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2066 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV2067 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ))]]) ).
thf(730,plain,
! [SV1075: n,SV2160: n > n,SV2066: n > n,SV2161: n > n,SV2067: n > n] :
( ( ( ( c_plus @ ( SV2160 @ SV1075 ) @ ( SV2161 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2066 @ SV1075 ) @ ( SV2067 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( SV2067 @ c0 )
= ( SV2161 @ c0 ) )
= $false )
| ( ( ( SV2066 @ c0 )
= ( SV2160 @ c0 ) )
= $false )
| ( ( ( SV2067
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2160 @ SX0 ) @ ( SV2161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) )
= ( SV2161
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2160 @ SX0 ) @ ( SV2161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV2066
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2160 @ SX0 ) @ ( SV2161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) )
= ( SV2160
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2160 @ SX0 ) @ ( SV2161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2160 @ SX0 ) @ ( SV2161 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ))]]) ).
thf(731,plain,
! [SV1075: n,SV2066: n > n,SV2161: n > n,SV2160: n > n,SV2067: n > n] :
( ( ( ( c_plus @ ( SV2066 @ c0 ) @ ( SV2067 @ c0 ) )
= ( c_plus @ ( SV2160 @ c0 ) @ ( SV2161 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( SV2160 @ SV1075 ) @ ( SV2161 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2066 @ SV1075 ) @ ( SV2067 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( SV2067
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2160 @ SX0 ) @ ( SV2161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) )
= ( SV2161
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2160 @ SX0 ) @ ( SV2161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV2066
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2160 @ SX0 ) @ ( SV2161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) )
= ( SV2160
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2160 @ SX0 ) @ ( SV2161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2160 @ SX0 ) @ ( SV2161 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ))]]) ).
thf(732,plain,
! [SV1075: n,SV2160: n > n,SV2066: n > n,SV2161: n > n,SV2067: n > n] :
( ( ( ( c_plus
@ ( SV2066
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2160 @ SX0 ) @ ( SV2161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) )
@ ( SV2067
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2160 @ SX0 ) @ ( SV2161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV2160
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2160 @ SX0 ) @ ( SV2161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) )
@ ( SV2161
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2160 @ SX0 ) @ ( SV2161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2160 @ SV1075 ) @ ( SV2161 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2066 @ SV1075 ) @ ( SV2067 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( SV2067 @ c0 )
= ( SV2161 @ c0 ) )
= $false )
| ( ( ( SV2066 @ c0 )
= ( SV2160 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2160 @ SX0 ) @ ( SV2161 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ))]]) ).
thf(733,plain,
! [SV1075: n,SV2161: n > n,SV2160: n > n,SV2067: n > n,SV2066: n > n] :
( ( ( ( c_plus @ ( SV2066 @ c0 ) @ ( SV2067 @ c0 ) )
= ( c_plus @ ( SV2160 @ c0 ) @ ( SV2161 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( SV2066
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2160 @ SX0 ) @ ( SV2161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) )
@ ( SV2067
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2160 @ SX0 ) @ ( SV2161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV2160
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2160 @ SX0 ) @ ( SV2161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) )
@ ( SV2161
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2160 @ SX0 ) @ ( SV2161 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2160 @ SV1075 ) @ ( SV2161 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2066 @ SV1075 ) @ ( SV2067 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2160 @ SX0 ) @ ( SV2161 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ))]]) ).
thf(734,plain,
! [SV2067: n > n,SV2066: n > n] :
( ( ( ( c_plus @ ( SV2066 @ c0 ) @ ( SV2067 @ c0 ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV2066
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) )
@ ( SV2067
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2066 @ ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) ) @ ( SV2067 @ ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1075,$thf( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2066 @ SX0 ) @ ( SV2067 @ SX0 ) ) ))]]) ).
thf(735,plain,
! [SV2075: n > n,SV2074: n > n] :
( ( ( c0
= ( c_plus @ ( c_plus @ ( SV2074 @ c0 ) @ ( SV2075 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2074 @ SX0 ) @ ( SV2075 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( c_plus
@ ( SV2074
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2074 @ SX0 ) @ ( SV2075 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV2075
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2074 @ SX0 ) @ ( SV2075 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2074 @ SX0 ) @ ( SV2075 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV2074 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV2075 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2074 @ SX0 ) @ ( SV2075 @ SX0 ) ) @ SX0 ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(736,plain,
! [SV2075: n > n,SV2074: n > n] :
( ( ( c0
= ( c_plus @ ( c_plus @ ( SV2074 @ c0 ) @ ( SV2075 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2074 @ SX0 ) @ ( SV2075 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( c_plus
@ ( SV2074
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2074 @ SX0 ) @ ( SV2075 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV2075
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2074 @ SX0 ) @ ( SV2075 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : SX0 ) ) ) )
@ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2074 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV2075 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2074 @ SX0 ) @ ( SV2075 @ SX0 ) ) @ c0 ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(737,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( c0 = sK1_Xx )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(738,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
@ c0 ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(739,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(740,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
@ c0 ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(741,plain,
! [SV2071: n > n,SV2070: n > n] :
( ( ( c0
= ( c_plus @ ( SV2070 @ c0 ) @ ( SV2071 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2070 @ SX0 ) @ ( SV2071 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( SV2070
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2070 @ SX0 ) @ ( SV2071 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV2071
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2070 @ SX0 ) @ ( SV2071 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2070 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV2071 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2070 @ SX0 ) @ ( SV2071 @ SX0 ) ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(742,plain,
( ( sK1_Xx
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(743,plain,
( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[437:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(744,plain,
! [SV1075: n,SV2306: n > n,SV2276: n > n,SV2265: n > n,SV2307: n > n] :
( ( ( ( cS @ ( c_plus @ ( SV2306 @ c0 ) @ ( SV2307 @ c0 ) ) )
= ( c_plus @ ( SV2265 @ c0 ) @ ( cS @ ( SV2276 @ c0 ) ) ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2306 @ SV1075 ) @ ( SV2307 @ SV1075 ) ) )
= ( c_plus @ ( SV2265 @ SV1075 ) @ ( cS @ ( SV2276 @ SV1075 ) ) ) )
= $true )
| ( ( ( SV2307
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2306 @ SX0 ) @ ( SV2307 @ SX0 ) ) ) ) ) )
= ( SV2276
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2306 @ SX0 ) @ ( SV2307 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( SV2306
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2306 @ SX0 ) @ ( SV2307 @ SX0 ) ) ) ) ) )
= ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2306 @ SX0 ) @ ( SV2307 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2306 @ SX0 ) @ ( SV2307 @ SX0 ) ) ) )),bind(SV9,$thf( SV2276 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2306 @ SX0 ) @ ( SV2307 @ SX0 ) ) ) ) ) )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2306 @ SX0 ) @ ( SV2307 @ SX0 ) ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) ))]]) ).
thf(745,plain,
! [SV1075: n,SV2276: n > n,SV2265: n > n,SV2307: n > n,SV2306: n > n] :
( ( ( ( cS @ ( c_plus @ ( SV2306 @ c0 ) @ ( SV2307 @ c0 ) ) )
= ( c_plus @ ( SV2265 @ c0 ) @ ( cS @ ( SV2276 @ c0 ) ) ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2306 @ SV1075 ) @ ( SV2307 @ SV1075 ) ) )
= ( c_plus @ ( SV2265 @ SV1075 ) @ ( cS @ ( SV2276 @ SV1075 ) ) ) )
= $true )
| ( ( ( c_plus
@ ( SV2306
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2306 @ SX0 ) @ ( SV2307 @ SX0 ) ) ) ) ) )
@ ( SV2307
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2306 @ SX0 ) @ ( SV2307 @ SX0 ) ) ) ) ) ) )
= ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2306 @ SX0 ) @ ( SV2307 @ SX0 ) ) ) ) ) )
@ ( SV2276
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2306 @ SX0 ) @ ( SV2307 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2306 @ SX0 ) @ ( SV2307 @ SX0 ) ) ) )),bind(SV9,$thf( SV2276 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2306 @ SX0 ) @ ( SV2307 @ SX0 ) ) ) ) ) )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2306 @ SX0 ) @ ( SV2307 @ SX0 ) ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) ))]]) ).
thf(746,plain,
! [SV1075: n,SV2276: n > n,SV2265: n > n] :
( ( ( ( cS @ c0 )
= ( c_plus @ ( SV2265 @ c0 ) @ ( cS @ ( SV2276 @ c0 ) ) ) )
= $false )
| ( ( ( cS @ SV1075 )
= ( c_plus @ ( SV2265 @ SV1075 ) @ ( cS @ ( SV2276 @ SV1075 ) ) ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
= ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) )
@ ( SV2276
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV9,$thf( SV2276 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) @ ^ [SX0: n] : ( cS @ SX0 ) ) ) )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) @ ^ [SX0: n] : ( cS @ SX0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) ))]]) ).
thf(747,plain,
! [SV1075: n,SV2276: n > n,SV2265: n > n,SV2303: n > n] :
( ( ( ( cS @ ( SV2303 @ c0 ) )
= ( c_plus @ ( SV2265 @ c0 ) @ ( cS @ ( SV2276 @ c0 ) ) ) )
= $false )
| ( ( ( cS @ ( SV2303 @ SV1075 ) )
= ( c_plus @ ( SV2265 @ SV1075 ) @ ( cS @ ( SV2276 @ SV1075 ) ) ) )
= $true )
| ( ( ( cS
@ ( SV2303
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( SV2303 @ SX0 ) ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( SV2303 @ SX0 ) ) ) ) )
@ ( SV2276
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( SV2303 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( SV2303 @ SX0 ) ) )),bind(SV9,$thf( SV2276 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) @ ^ [SX0: n] : ( cS @ ( SV2303 @ SX0 ) ) ) ) )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) @ ^ [SX0: n] : ( cS @ ( SV2303 @ SX0 ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) ))]]) ).
thf(748,plain,
! [SV1075: n,SV2276: n > n,SV2265: n > n] :
( ( ( c0
= ( c_plus @ ( SV2265 @ c0 ) @ ( cS @ ( SV2276 @ c0 ) ) ) )
= $false )
| ( ( SV1075
= ( c_plus @ ( SV2265 @ SV1075 ) @ ( cS @ ( SV2276 @ SV1075 ) ) ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV2276
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV9,$thf( SV2276 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) @ ^ [SX0: n] : SX0 ) ) )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) @ ^ [SX0: n] : SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) ))]]) ).
thf(749,plain,
! [SV1075: n,SV2276: n > n,SV2265: n > n] :
( ( ( c0
= ( c_plus @ ( SV2265 @ c0 ) @ ( cS @ ( SV2276 @ c0 ) ) ) )
= $false )
| ( ( SV1075
= ( c_plus @ ( SV2265 @ SV1075 ) @ ( cS @ ( SV2276 @ SV1075 ) ) ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) )
= ( cS
@ ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV2276
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV9,$thf( SV2276 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) @ ^ [SX0: n] : SX0 ) ) )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) @ ^ [SX0: n] : SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) ))]]) ).
thf(750,plain,
! [SV1075: n,SV2314: n > n,SV2276: n > n,SV2265: n > n,SV2313: n > n] :
( ( ( ( cS @ ( c_plus @ ( SV2313 @ c0 ) @ ( SV2314 @ c0 ) ) )
= ( c_plus @ ( SV2265 @ c0 ) @ ( cS @ ( SV2276 @ c0 ) ) ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2313 @ SV1075 ) @ ( SV2314 @ SV1075 ) ) )
= ( c_plus @ ( SV2265 @ SV1075 ) @ ( cS @ ( SV2276 @ SV1075 ) ) ) )
= $true )
| ( ( ( cS
@ ( SV2276
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2313 @ SX0 ) @ ( SV2314 @ SX0 ) ) ) ) ) ) )
= ( cS
@ ( SV2314
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2313 @ SX0 ) @ ( SV2314 @ SX0 ) ) ) ) ) ) ) )
= $false )
| ( ( ( SV2313
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2313 @ SX0 ) @ ( SV2314 @ SX0 ) ) ) ) ) )
= ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2313 @ SX0 ) @ ( SV2314 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV9,$thf( SV2314 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2313 @ SX0 ) @ ( SV2314 @ SX0 ) ) ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2313 @ SX0 ) @ ( SV2314 @ SX0 ) ) ) )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2313 @ SX0 ) @ ( SV2314 @ SX0 ) ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) ))]]) ).
thf(751,plain,
! [SV9: n,SV1075: n,SV2276: n > n,SV2265: n > n,SV2314: n > n,SV2313: n > n] :
( ( ( ( cS @ ( c_plus @ ( SV2313 @ c0 ) @ ( SV2314 @ c0 ) ) )
= ( c_plus @ ( SV2265 @ c0 ) @ ( cS @ ( SV2276 @ c0 ) ) ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2313 @ SV1075 ) @ ( SV2314 @ SV1075 ) ) )
= ( c_plus @ ( SV2265 @ SV1075 ) @ ( cS @ ( SV2276 @ SV1075 ) ) ) )
= $true )
| ( ( ( c_plus
@ ( SV2313
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2313 @ SX0 ) @ ( SV2314 @ SX0 ) ) ) ) ) )
@ ( SV2314
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2313 @ SX0 ) @ ( SV2314 @ SX0 ) ) ) ) ) ) )
= ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2313 @ SX0 ) @ ( SV2314 @ SX0 ) ) ) ) ) )
@ SV9 ) )
= $false )
| ( ( ( cS
@ ( SV2276
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2313 @ SX0 ) @ ( SV2314 @ SX0 ) ) ) ) ) ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2313 @ SX0 ) @ ( SV2314 @ SX0 ) ) ) )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2313 @ SX0 ) @ ( SV2314 @ SX0 ) ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) ))]]) ).
thf(752,plain,
! [SV9: n,SV1075: n,SV2276: n > n,SV2265: n > n] :
( ( ( ( cS @ c0 )
= ( c_plus @ ( SV2265 @ c0 ) @ ( cS @ ( SV2276 @ c0 ) ) ) )
= $false )
| ( ( ( cS @ SV1075 )
= ( c_plus @ ( SV2265 @ SV1075 ) @ ( cS @ ( SV2276 @ SV1075 ) ) ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
= ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) )
@ SV9 ) )
= $false )
| ( ( ( cS
@ ( SV2276
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) @ ^ [SX0: n] : ( cS @ SX0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) ))]]) ).
thf(753,plain,
! [SV9: n,SV1075: n,SV2276: n > n,SV2265: n > n,SV2310: n > n] :
( ( ( ( cS @ ( SV2310 @ c0 ) )
= ( c_plus @ ( SV2265 @ c0 ) @ ( cS @ ( SV2276 @ c0 ) ) ) )
= $false )
| ( ( ( cS @ ( SV2310 @ SV1075 ) )
= ( c_plus @ ( SV2265 @ SV1075 ) @ ( cS @ ( SV2276 @ SV1075 ) ) ) )
= $true )
| ( ( ( cS
@ ( SV2310
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( SV2310 @ SX0 ) ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( SV2310 @ SX0 ) ) ) ) )
@ SV9 ) ) )
= $false )
| ( ( ( cS
@ ( SV2276
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( SV2310 @ SX0 ) ) ) ) ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( SV2310 @ SX0 ) ) )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) @ ^ [SX0: n] : ( cS @ ( SV2310 @ SX0 ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) ))]]) ).
thf(754,plain,
! [SV9: n,SV1075: n,SV2276: n > n,SV2265: n > n] :
( ( ( c0
= ( c_plus @ ( SV2265 @ c0 ) @ ( cS @ ( SV2276 @ c0 ) ) ) )
= $false )
| ( ( SV1075
= ( c_plus @ ( SV2265 @ SV1075 ) @ ( cS @ ( SV2276 @ SV1075 ) ) ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) )
@ SV9 ) )
= $false )
| ( ( ( cS
@ ( SV2276
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) @ ^ [SX0: n] : SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) ))]]) ).
thf(755,plain,
! [SV9: n,SV1075: n,SV2276: n > n,SV2265: n > n] :
( ( ( c0
= ( c_plus @ ( SV2265 @ c0 ) @ ( cS @ ( SV2276 @ c0 ) ) ) )
= $false )
| ( ( SV1075
= ( c_plus @ ( SV2265 @ SV1075 ) @ ( cS @ ( SV2276 @ SV1075 ) ) ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) )
= ( cS
@ ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) )
@ SV9 ) ) )
= $false )
| ( ( ( cS
@ ( SV2276
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) @ ^ [SX0: n] : SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( cS @ ( SV2276 @ SX0 ) ) ) ))]]) ).
thf(756,plain,
! [SV1075: n,SV2287: n > n > n,SV2286: n > n > n,SV2265: n > n,SV2282: n > n] :
( ( ( ( cS @ ( c_plus @ ( SV2282 @ c0 ) @ ( sK2_Xx @ ( SV2286 @ c0 ) @ ( SV2287 @ c0 ) ) ) )
= ( c_plus @ ( SV2265 @ c0 ) @ c0 ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2282 @ SV1075 ) @ ( sK2_Xx @ ( SV2286 @ SV1075 ) @ ( SV2287 @ SV1075 ) ) ) )
= ( c_plus @ ( SV2265 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( sK2_Xx
@ ( SV2286
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ ( sK2_Xx @ ( SV2286 @ SX0 ) @ ( SV2287 @ SX0 ) ) ) ) ) ) )
@ ( SV2287
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ ( sK2_Xx @ ( SV2286 @ SX0 ) @ ( SV2287 @ SX0 ) ) ) ) ) ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ ( sK2_Xx @ ( SV2286 @ SX0 ) @ ( SV2287 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV2282
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ ( sK2_Xx @ ( SV2286 @ SX0 ) @ ( SV2287 @ SX0 ) ) ) ) ) ) )
= ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ ( sK2_Xx @ ( SV2286 @ SX0 ) @ ( SV2287 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ ( sK2_Xx @ ( SV2286 @ SX0 ) @ ( SV2287 @ SX0 ) ) ) ) )),bind(SV9,$thf( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ ( sK2_Xx @ ( SV2286 @ SX0 ) @ ( SV2287 @ SX0 ) ) ) ) )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ ( sK2_Xx @ ( SV2286 @ SX0 ) @ ( SV2287 @ SX0 ) ) ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) ))]]) ).
thf(757,plain,
! [SV1075: n,SV2265: n > n,SV2282: n > n] :
( ( ( ( cS @ ( c_plus @ ( SV2282 @ c0 ) @ c0 ) )
= ( c_plus @ ( SV2265 @ c0 ) @ c0 ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2282 @ SV1075 ) @ SV1075 ) )
= ( c_plus @ ( SV2265 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ SX0 ) ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ SX0 ) ) ) )
= $false )
| ( ( ( SV2282
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ SX0 ) ) ) ) )
= ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ SX0 ) ) )),bind(SV9,$thf( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ SX0 ) ) )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ SX0 ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) ))]]) ).
thf(758,plain,
! [SV1075: n,SV2265: n > n,SV2283: n > n,SV2282: n > n] :
( ( ( ( cS @ ( c_plus @ ( SV2282 @ c0 ) @ ( SV2283 @ c0 ) ) )
= ( c_plus @ ( SV2265 @ c0 ) @ c0 ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2282 @ SV1075 ) @ ( SV2283 @ SV1075 ) ) )
= ( c_plus @ ( SV2265 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( c_plus
@ ( SV2282
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ ( SV2283 @ SX0 ) ) ) ) ) )
@ ( SV2283
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ ( SV2283 @ SX0 ) ) ) ) ) ) )
= ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ ( SV2283 @ SX0 ) ) ) ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ ( SV2283 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ ( SV2283 @ SX0 ) ) ) )),bind(SV9,$thf( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ ( SV2283 @ SX0 ) ) ) )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2282 @ SX0 ) @ ( SV2283 @ SX0 ) ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) ))]]) ).
thf(759,plain,
! [SV1075: n,SV2265: n > n] :
( ( ( ( cS @ c0 )
= ( c_plus @ ( SV2265 @ c0 ) @ c0 ) )
= $false )
| ( ( ( cS @ SV1075 )
= ( c_plus @ ( SV2265 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
= ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV9,$thf( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : ( cS @ SX0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) ))]]) ).
thf(760,plain,
! [SV1075: n,SV2265: n > n,SV2279: n > n] :
( ( ( ( cS @ ( SV2279 @ c0 ) )
= ( c_plus @ ( SV2265 @ c0 ) @ c0 ) )
= $false )
| ( ( ( cS @ ( SV2279 @ SV1075 ) )
= ( c_plus @ ( SV2265 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( cS
@ ( SV2279
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( SV2279 @ SX0 ) ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( SV2279 @ SX0 ) ) ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( SV2279 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( SV2279 @ SX0 ) ) )),bind(SV9,$thf( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : ( cS @ ( SV2279 @ SX0 ) ) )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : ( cS @ ( SV2279 @ SX0 ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) ))]]) ).
thf(761,plain,
! [SV1075: n,SV2265: n > n] :
( ( ( c0
= ( c_plus @ ( SV2265 @ c0 ) @ c0 ) )
= $false )
| ( ( SV1075
= ( c_plus @ ( SV2265 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV9,$thf( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : SX0 )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) ))]]) ).
thf(762,plain,
! [SV1075: n,SV2265: n > n] :
( ( ( c0
= ( c_plus @ ( SV2265 @ c0 ) @ c0 ) )
= $false )
| ( ( SV1075
= ( c_plus @ ( SV2265 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( cS
@ ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV9,$thf( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : SX0 )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) ))]]) ).
thf(763,plain,
! [SV1075: n,SV2300: n > n,SV2265: n > n,SV2299: n > n] :
( ( ( ( cS @ ( c_plus @ ( SV2299 @ c0 ) @ ( SV2300 @ c0 ) ) )
= ( c_plus @ ( SV2265 @ c0 ) @ c0 ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2299 @ SV1075 ) @ ( SV2300 @ SV1075 ) ) )
= ( c_plus @ ( SV2265 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2299 @ SX0 ) @ ( SV2300 @ SX0 ) ) ) ) )
= ( cS
@ ( SV2300
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2299 @ SX0 ) @ ( SV2300 @ SX0 ) ) ) ) ) ) ) )
= $false )
| ( ( ( SV2299
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2299 @ SX0 ) @ ( SV2300 @ SX0 ) ) ) ) ) )
= ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2299 @ SX0 ) @ ( SV2300 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV9,$thf( SV2300 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2299 @ SX0 ) @ ( SV2300 @ SX0 ) ) ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2299 @ SX0 ) @ ( SV2300 @ SX0 ) ) ) )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2299 @ SX0 ) @ ( SV2300 @ SX0 ) ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) ))]]) ).
thf(764,plain,
! [SV9: n,SV1075: n,SV2265: n > n,SV2300: n > n,SV2299: n > n] :
( ( ( ( cS @ ( c_plus @ ( SV2299 @ c0 ) @ ( SV2300 @ c0 ) ) )
= ( c_plus @ ( SV2265 @ c0 ) @ c0 ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2299 @ SV1075 ) @ ( SV2300 @ SV1075 ) ) )
= ( c_plus @ ( SV2265 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( c_plus
@ ( SV2299
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2299 @ SX0 ) @ ( SV2300 @ SX0 ) ) ) ) ) )
@ ( SV2300
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2299 @ SX0 ) @ ( SV2300 @ SX0 ) ) ) ) ) ) )
= ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2299 @ SX0 ) @ ( SV2300 @ SX0 ) ) ) ) ) )
@ SV9 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2299 @ SX0 ) @ ( SV2300 @ SX0 ) ) ) ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2299 @ SX0 ) @ ( SV2300 @ SX0 ) ) ) )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2299 @ SX0 ) @ ( SV2300 @ SX0 ) ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) ))]]) ).
thf(765,plain,
! [SV9: n,SV1075: n,SV2265: n > n] :
( ( ( ( cS @ c0 )
= ( c_plus @ ( SV2265 @ c0 ) @ c0 ) )
= $false )
| ( ( ( cS @ SV1075 )
= ( c_plus @ ( SV2265 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
= ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) )
@ SV9 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : ( cS @ SX0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) ))]]) ).
thf(766,plain,
! [SV9: n,SV1075: n,SV2265: n > n,SV2296: n > n] :
( ( ( ( cS @ ( SV2296 @ c0 ) )
= ( c_plus @ ( SV2265 @ c0 ) @ c0 ) )
= $false )
| ( ( ( cS @ ( SV2296 @ SV1075 ) )
= ( c_plus @ ( SV2265 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( cS
@ ( SV2296
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( SV2296 @ SX0 ) ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( SV2296 @ SX0 ) ) ) ) )
@ SV9 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( SV2296 @ SX0 ) ) ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( SV2296 @ SX0 ) ) )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : ( cS @ ( SV2296 @ SX0 ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) ))]]) ).
thf(767,plain,
! [SV9: n,SV1075: n,SV2265: n > n] :
( ( ( c0
= ( c_plus @ ( SV2265 @ c0 ) @ c0 ) )
= $false )
| ( ( SV1075
= ( c_plus @ ( SV2265 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
@ SV9 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) ))]]) ).
thf(768,plain,
! [SV9: n,SV1075: n,SV2265: n > n] :
( ( ( c0
= ( c_plus @ ( SV2265 @ c0 ) @ c0 ) )
= $false )
| ( ( SV1075
= ( c_plus @ ( SV2265 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( cS
@ ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
@ SV9 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV10,$thf( SV2265 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) @ ^ [SX0: n] : SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ SX0 ) ))]]) ).
thf(769,plain,
! [SV1075: n,SV2266: n > n,SV2265: n > n,SV2321: n > n,SV2320: n > n] :
( ( ( ( cS @ ( c_plus @ ( SV2320 @ c0 ) @ ( SV2321 @ c0 ) ) )
= ( c_plus @ ( SV2265 @ c0 ) @ ( SV2266 @ c0 ) ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2320 @ SV1075 ) @ ( SV2321 @ SV1075 ) ) )
= ( c_plus @ ( SV2265 @ SV1075 ) @ ( SV2266 @ SV1075 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2320 @ SX0 ) @ ( SV2321 @ SX0 ) ) ) ) ) )
@ ( SV2266
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2320 @ SX0 ) @ ( SV2321 @ SX0 ) ) ) ) ) ) )
= ( c_plus
@ ( SV2320
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2320 @ SX0 ) @ ( SV2321 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( SV2321
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2320 @ SX0 ) @ ( SV2321 @ SX0 ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV9,$thf( SV2321 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) ) @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2320 @ SX0 ) @ ( SV2321 @ SX0 ) ) ) ) ) )),bind(SV10,$thf( SV2320 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) ) @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2320 @ SX0 ) @ ( SV2321 @ SX0 ) ) ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2320 @ SX0 ) @ ( SV2321 @ SX0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) ) ))]]) ).
thf(770,plain,
! [SV9: n,SV10: n,SV1075: n,SV2266: n > n,SV2265: n > n,SV2321: n > n,SV2320: n > n] :
( ( ( ( cS @ ( c_plus @ ( SV2320 @ c0 ) @ ( SV2321 @ c0 ) ) )
= ( c_plus @ ( SV2265 @ c0 ) @ ( SV2266 @ c0 ) ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2320 @ SV1075 ) @ ( SV2321 @ SV1075 ) ) )
= ( c_plus @ ( SV2265 @ SV1075 ) @ ( SV2266 @ SV1075 ) ) )
= $true )
| ( ( ( c_plus
@ ( SV2320
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2320 @ SX0 ) @ ( SV2321 @ SX0 ) ) ) ) ) )
@ ( SV2321
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2320 @ SX0 ) @ ( SV2321 @ SX0 ) ) ) ) ) ) )
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2320 @ SX0 ) @ ( SV2321 @ SX0 ) ) ) ) ) )
@ ( SV2266
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2320 @ SX0 ) @ ( SV2321 @ SX0 ) ) ) ) ) ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2320 @ SX0 ) @ ( SV2321 @ SX0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) ) ))]]) ).
thf(771,plain,
! [SV9: n,SV10: n,SV1075: n,SV2266: n > n,SV2265: n > n] :
( ( ( ( cS @ c0 )
= ( c_plus @ ( SV2265 @ c0 ) @ ( SV2266 @ c0 ) ) )
= $false )
| ( ( ( cS @ SV1075 )
= ( c_plus @ ( SV2265 @ SV1075 ) @ ( SV2266 @ SV1075 ) ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) )
@ ( SV2266
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) ) ))]]) ).
thf(772,plain,
! [SV9: n,SV10: n,SV1075: n,SV2266: n > n,SV2265: n > n,SV2317: n > n] :
( ( ( ( cS @ ( SV2317 @ c0 ) )
= ( c_plus @ ( SV2265 @ c0 ) @ ( SV2266 @ c0 ) ) )
= $false )
| ( ( ( cS @ ( SV2317 @ SV1075 ) )
= ( c_plus @ ( SV2265 @ SV1075 ) @ ( SV2266 @ SV1075 ) ) )
= $true )
| ( ( ( cS
@ ( SV2317
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( SV2317 @ SX0 ) ) ) ) ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( SV2317 @ SX0 ) ) ) ) )
@ ( SV2266
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( SV2317 @ SX0 ) ) ) ) ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( SV2317 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) ) ))]]) ).
thf(773,plain,
! [SV9: n,SV10: n,SV1075: n,SV2266: n > n,SV2265: n > n] :
( ( ( c0
= ( c_plus @ ( SV2265 @ c0 ) @ ( SV2266 @ c0 ) ) )
= $false )
| ( ( SV1075
= ( c_plus @ ( SV2265 @ SV1075 ) @ ( SV2266 @ SV1075 ) ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) )
@ ^ [SX0: n] : SX0 )
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV2266
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) ) ))]]) ).
thf(774,plain,
! [SV9: n,SV10: n,SV1075: n,SV2266: n > n,SV2265: n > n] :
( ( ( c0
= ( c_plus @ ( SV2265 @ c0 ) @ ( SV2266 @ c0 ) ) )
= $false )
| ( ( SV1075
= ( c_plus @ ( SV2265 @ SV1075 ) @ ( SV2266 @ SV1075 ) ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus
@ ( SV2265
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV2266
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2265 @ SX0 ) @ ( SV2266 @ SX0 ) ) ))]]) ).
thf(775,plain,
! [SV1075: n,SV2273: n > n,SV2272: n > n] :
( ( ( ( cS @ ( c_plus @ ( SV2272 @ c0 ) @ ( SV2273 @ c0 ) ) )
= c0 )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2272 @ SV1075 ) @ ( SV2273 @ SV1075 ) ) )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2272 @ SX0 ) @ ( SV2273 @ SX0 ) ) ) ) )
= ( c_plus
@ ( SV2272
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2272 @ SX0 ) @ ( SV2273 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( SV2273
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2272 @ SX0 ) @ ( SV2273 @ SX0 ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV9,$thf( SV2273 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : SX0 @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2272 @ SX0 ) @ ( SV2273 @ SX0 ) ) ) ) ) )),bind(SV10,$thf( SV2272 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : SX0 @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2272 @ SX0 ) @ ( SV2273 @ SX0 ) ) ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2272 @ SX0 ) @ ( SV2273 @ SX0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(776,plain,
! [SV9: n,SV10: n,SV1075: n,SV2273: n > n,SV2272: n > n] :
( ( ( ( cS @ ( c_plus @ ( SV2272 @ c0 ) @ ( SV2273 @ c0 ) ) )
= c0 )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2272 @ SV1075 ) @ ( SV2273 @ SV1075 ) ) )
= SV1075 )
= $true )
| ( ( ( c_plus
@ ( SV2272
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2272 @ SX0 ) @ ( SV2273 @ SX0 ) ) ) ) ) )
@ ( SV2273
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2272 @ SX0 ) @ ( SV2273 @ SX0 ) ) ) ) ) ) )
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2272 @ SX0 ) @ ( SV2273 @ SX0 ) ) ) ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2272 @ SX0 ) @ ( SV2273 @ SX0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(777,plain,
! [SV9: n,SV10: n,SV1075: n] :
( ( ( ( cS @ c0 )
= c0 )
= $false )
| ( ( ( cS @ SV1075 )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(778,plain,
! [SV9: n,SV10: n,SV1075: n,SV2269: n > n] :
( ( ( ( cS @ ( SV2269 @ c0 ) )
= c0 )
= $false )
| ( ( ( cS @ ( SV2269 @ SV1075 ) )
= SV1075 )
= $true )
| ( ( ( cS
@ ( SV2269
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( SV2269 @ SX0 ) ) ) ) ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( SV2269 @ SX0 ) ) ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( SV2269 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(781,plain,
! [SV1075: n,SV2335: n > n,SV2324: n > n,SV2364: n > n,SV2365: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ ( cS @ ( SV2335 @ c0 ) ) )
= ( cS @ ( c_plus @ ( SV2364 @ c0 ) @ ( SV2365 @ c0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ ( cS @ ( SV2335 @ SV1075 ) ) )
= ( cS @ ( c_plus @ ( SV2364 @ SV1075 ) @ ( SV2365 @ SV1075 ) ) ) )
= $true )
| ( ( ( SV2365
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2364 @ SX0 ) @ ( SV2365 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )
= ( SV2335
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2364 @ SX0 ) @ ( SV2365 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( SV2364
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2364 @ SX0 ) @ ( SV2365 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )
= ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2364 @ SX0 ) @ ( SV2365 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2364 @ SX0 ) @ ( SV2365 @ SX0 ) ) ) )),bind(SV9,$thf( SV2335 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2364 @ SX0 ) @ ( SV2365 @ SX0 ) ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2364 @ SX0 ) @ ( SV2365 @ SX0 ) ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ))]]) ).
thf(782,plain,
! [SV1075: n,SV2365: n > n,SV2364: n > n,SV2335: n > n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ ( cS @ ( SV2335 @ c0 ) ) )
= ( cS @ ( c_plus @ ( SV2364 @ c0 ) @ ( SV2365 @ c0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ ( cS @ ( SV2335 @ SV1075 ) ) )
= ( cS @ ( c_plus @ ( SV2364 @ SV1075 ) @ ( SV2365 @ SV1075 ) ) ) )
= $true )
| ( ( ( c_plus
@ ( SV2364
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2364 @ SX0 ) @ ( SV2365 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )
@ ( SV2365
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2364 @ SX0 ) @ ( SV2365 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) ) )
= ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2364 @ SX0 ) @ ( SV2365 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )
@ ( SV2335
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2364 @ SX0 ) @ ( SV2365 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2364 @ SX0 ) @ ( SV2365 @ SX0 ) ) ) )),bind(SV9,$thf( SV2335 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2364 @ SX0 ) @ ( SV2365 @ SX0 ) ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2364 @ SX0 ) @ ( SV2365 @ SX0 ) ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ))]]) ).
thf(783,plain,
! [SV1075: n,SV2335: n > n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ ( cS @ ( SV2335 @ c0 ) ) )
= ( cS @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ ( cS @ ( SV2335 @ SV1075 ) ) )
= ( cS @ SV1075 ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) )
= ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )
@ ( SV2335
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV9,$thf( SV2335 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ SX0 ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ SX0 ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ))]]) ).
thf(784,plain,
! [SV1075: n,SV2361: n > n,SV2335: n > n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ ( cS @ ( SV2335 @ c0 ) ) )
= ( cS @ ( SV2361 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ ( cS @ ( SV2335 @ SV1075 ) ) )
= ( cS @ ( SV2361 @ SV1075 ) ) )
= $true )
| ( ( ( cS
@ ( SV2361
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2361 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2361 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )
@ ( SV2335
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2361 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( SV2361 @ SX0 ) ) )),bind(SV9,$thf( SV2335 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( SV2361 @ SX0 ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( SV2361 @ SX0 ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ))]]) ).
thf(785,plain,
! [SV1075: n,SV2335: n > n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ ( cS @ ( SV2335 @ c0 ) ) )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ ( cS @ ( SV2335 @ SV1075 ) ) )
= SV1075 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) )
= ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )
@ ( SV2335
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV9,$thf( SV2335 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : SX0 @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : SX0 @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ))]]) ).
thf(786,plain,
! [SV1075: n,SV2335: n > n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ ( cS @ ( SV2335 @ c0 ) ) )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ ( cS @ ( SV2335 @ SV1075 ) ) )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )
@ ( SV2335
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV9,$thf( SV2335 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : SX0 @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : SX0 @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ))]]) ).
thf(787,plain,
! [SV1075: n,SV2335: n > n,SV2324: n > n,SV2372: n > n,SV2371: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ ( cS @ ( SV2335 @ c0 ) ) )
= ( cS @ ( c_plus @ ( SV2371 @ c0 ) @ ( SV2372 @ c0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ ( cS @ ( SV2335 @ SV1075 ) ) )
= ( cS @ ( c_plus @ ( SV2371 @ SV1075 ) @ ( SV2372 @ SV1075 ) ) ) )
= $true )
| ( ( ( cS
@ ( SV2335
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2371 @ SX0 ) @ ( SV2372 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) ) )
= ( cS
@ ( SV2372
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2371 @ SX0 ) @ ( SV2372 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) ) ) )
= $false )
| ( ( ( SV2371
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2371 @ SX0 ) @ ( SV2372 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )
= ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2371 @ SX0 ) @ ( SV2372 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV9,$thf( SV2372 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2371 @ SX0 ) @ ( SV2372 @ SX0 ) ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2371 @ SX0 ) @ ( SV2372 @ SX0 ) ) ) )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2371 @ SX0 ) @ ( SV2372 @ SX0 ) ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ))]]) ).
thf(788,plain,
! [SV9: n,SV1075: n,SV2372: n > n,SV2371: n > n,SV2335: n > n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ ( cS @ ( SV2335 @ c0 ) ) )
= ( cS @ ( c_plus @ ( SV2371 @ c0 ) @ ( SV2372 @ c0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ ( cS @ ( SV2335 @ SV1075 ) ) )
= ( cS @ ( c_plus @ ( SV2371 @ SV1075 ) @ ( SV2372 @ SV1075 ) ) ) )
= $true )
| ( ( ( c_plus
@ ( SV2371
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2371 @ SX0 ) @ ( SV2372 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )
@ ( SV2372
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2371 @ SX0 ) @ ( SV2372 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) ) )
= ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2371 @ SX0 ) @ ( SV2372 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )
@ SV9 ) )
= $false )
| ( ( ( cS
@ ( SV2335
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2371 @ SX0 ) @ ( SV2372 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2371 @ SX0 ) @ ( SV2372 @ SX0 ) ) ) )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2371 @ SX0 ) @ ( SV2372 @ SX0 ) ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ))]]) ).
thf(789,plain,
! [SV9: n,SV1075: n,SV2335: n > n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ ( cS @ ( SV2335 @ c0 ) ) )
= ( cS @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ ( cS @ ( SV2335 @ SV1075 ) ) )
= ( cS @ SV1075 ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) )
= ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )
@ SV9 ) )
= $false )
| ( ( ( cS
@ ( SV2335
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ SX0 ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ))]]) ).
thf(790,plain,
! [SV9: n,SV1075: n,SV2368: n > n,SV2335: n > n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ ( cS @ ( SV2335 @ c0 ) ) )
= ( cS @ ( SV2368 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ ( cS @ ( SV2335 @ SV1075 ) ) )
= ( cS @ ( SV2368 @ SV1075 ) ) )
= $true )
| ( ( ( cS
@ ( SV2368
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2368 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2368 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )
@ SV9 ) ) )
= $false )
| ( ( ( cS
@ ( SV2335
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2368 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( SV2368 @ SX0 ) ) )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( SV2368 @ SX0 ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ))]]) ).
thf(791,plain,
! [SV9: n,SV1075: n,SV2335: n > n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ ( cS @ ( SV2335 @ c0 ) ) )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ ( cS @ ( SV2335 @ SV1075 ) ) )
= SV1075 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) )
= ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )
@ SV9 ) )
= $false )
| ( ( ( cS
@ ( SV2335
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : SX0 @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ))]]) ).
thf(792,plain,
! [SV9: n,SV1075: n,SV2335: n > n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ ( cS @ ( SV2335 @ c0 ) ) )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ ( cS @ ( SV2335 @ SV1075 ) ) )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )
@ SV9 ) ) )
= $false )
| ( ( ( cS
@ ( SV2335
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : SX0 @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( cS @ ( SV2335 @ SX0 ) ) ) ))]]) ).
thf(793,plain,
! [SV1075: n,SV2324: n > n,SV2346: n > n > n,SV2345: n > n > n,SV2341: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ c0 )
= ( cS @ ( c_plus @ ( SV2341 @ c0 ) @ ( sK2_Xx @ ( SV2345 @ c0 ) @ ( SV2346 @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ SV1075 )
= ( cS @ ( c_plus @ ( SV2341 @ SV1075 ) @ ( sK2_Xx @ ( SV2345 @ SV1075 ) @ ( SV2346 @ SV1075 ) ) ) ) )
= $true )
| ( ( ( sK2_Xx
@ ( SV2345
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ ( sK2_Xx @ ( SV2345 @ SX0 ) @ ( SV2346 @ SX0 ) ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )
@ ( SV2346
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ ( sK2_Xx @ ( SV2345 @ SX0 ) @ ( SV2346 @ SX0 ) ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ ( sK2_Xx @ ( SV2345 @ SX0 ) @ ( SV2346 @ SX0 ) ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) )
= $false )
| ( ( ( SV2341
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ ( sK2_Xx @ ( SV2345 @ SX0 ) @ ( SV2346 @ SX0 ) ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )
= ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ ( sK2_Xx @ ( SV2345 @ SX0 ) @ ( SV2346 @ SX0 ) ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ ( sK2_Xx @ ( SV2345 @ SX0 ) @ ( SV2346 @ SX0 ) ) ) ) )),bind(SV9,$thf( sK2_Xx @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ ( sK2_Xx @ ( SV2345 @ SX0 ) @ ( SV2346 @ SX0 ) ) ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ ( sK2_Xx @ ( SV2345 @ SX0 ) @ ( SV2346 @ SX0 ) ) ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ))]]) ).
thf(794,plain,
! [SV1075: n,SV2324: n > n,SV2341: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ c0 )
= ( cS @ ( c_plus @ ( SV2341 @ c0 ) @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ SV1075 )
= ( cS @ ( c_plus @ ( SV2341 @ SV1075 ) @ SV1075 ) ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) )
= $false )
| ( ( ( SV2341
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )
= ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ SX0 ) ) )),bind(SV9,$thf( sK2_Xx @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ SX0 ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ SX0 ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ))]]) ).
thf(795,plain,
! [SV1075: n,SV2342: n > n,SV2341: n > n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ c0 )
= ( cS @ ( c_plus @ ( SV2341 @ c0 ) @ ( SV2342 @ c0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ SV1075 )
= ( cS @ ( c_plus @ ( SV2341 @ SV1075 ) @ ( SV2342 @ SV1075 ) ) ) )
= $true )
| ( ( ( c_plus
@ ( SV2341
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ ( SV2342 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )
@ ( SV2342
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ ( SV2342 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) ) )
= ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ ( SV2342 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ ( SV2342 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ ( SV2342 @ SX0 ) ) ) )),bind(SV9,$thf( sK2_Xx @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ ( SV2342 @ SX0 ) ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2341 @ SX0 ) @ ( SV2342 @ SX0 ) ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ))]]) ).
thf(796,plain,
! [SV1075: n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ c0 )
= ( cS @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ SV1075 )
= ( cS @ SV1075 ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) )
= ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV9,$thf( sK2_Xx @ ^ [SX0: n] : ( cS @ SX0 ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ SX0 ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ))]]) ).
thf(797,plain,
! [SV1075: n,SV2338: n > n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ c0 )
= ( cS @ ( SV2338 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ SV1075 )
= ( cS @ ( SV2338 @ SV1075 ) ) )
= $true )
| ( ( ( cS
@ ( SV2338
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2338 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2338 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2338 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( SV2338 @ SX0 ) ) )),bind(SV9,$thf( sK2_Xx @ ^ [SX0: n] : ( cS @ ( SV2338 @ SX0 ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( SV2338 @ SX0 ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ))]]) ).
thf(798,plain,
! [SV1075: n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ SV1075 )
= SV1075 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) )
= ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV9,$thf( sK2_Xx @ ^ [SX0: n] : SX0 @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : SX0 @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ))]]) ).
thf(799,plain,
! [SV1075: n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ SV1075 )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) )
= ( cS
@ ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV9,$thf( sK2_Xx @ ^ [SX0: n] : SX0 @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : SX0 @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ))]]) ).
thf(800,plain,
! [SV1075: n,SV2324: n > n,SV2358: n > n,SV2357: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ c0 )
= ( cS @ ( c_plus @ ( SV2357 @ c0 ) @ ( SV2358 @ c0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ SV1075 )
= ( cS @ ( c_plus @ ( SV2357 @ SV1075 ) @ ( SV2358 @ SV1075 ) ) ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2357 @ SX0 ) @ ( SV2358 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) )
= ( cS
@ ( SV2358
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2357 @ SX0 ) @ ( SV2358 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV2357
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2357 @ SX0 ) @ ( SV2358 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )
= ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2357 @ SX0 ) @ ( SV2358 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV9,$thf( SV2358 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2357 @ SX0 ) @ ( SV2358 @ SX0 ) ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2357 @ SX0 ) @ ( SV2358 @ SX0 ) ) ) )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2357 @ SX0 ) @ ( SV2358 @ SX0 ) ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ))]]) ).
thf(801,plain,
! [SV9: n,SV1075: n,SV2358: n > n,SV2357: n > n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ c0 )
= ( cS @ ( c_plus @ ( SV2357 @ c0 ) @ ( SV2358 @ c0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ SV1075 )
= ( cS @ ( c_plus @ ( SV2357 @ SV1075 ) @ ( SV2358 @ SV1075 ) ) ) )
= $true )
| ( ( ( c_plus
@ ( SV2357
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2357 @ SX0 ) @ ( SV2358 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )
@ ( SV2358
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2357 @ SX0 ) @ ( SV2358 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) ) )
= ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2357 @ SX0 ) @ ( SV2358 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )
@ SV9 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2357 @ SX0 ) @ ( SV2358 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2357 @ SX0 ) @ ( SV2358 @ SX0 ) ) ) )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2357 @ SX0 ) @ ( SV2358 @ SX0 ) ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ))]]) ).
thf(802,plain,
! [SV9: n,SV1075: n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ c0 )
= ( cS @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ SV1075 )
= ( cS @ SV1075 ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) )
= ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )
@ SV9 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ SX0 ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ))]]) ).
thf(803,plain,
! [SV9: n,SV1075: n,SV2354: n > n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ c0 )
= ( cS @ ( SV2354 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ SV1075 )
= ( cS @ ( SV2354 @ SV1075 ) ) )
= $true )
| ( ( ( cS
@ ( SV2354
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2354 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2354 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )
@ SV9 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2354 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( SV2354 @ SX0 ) ) )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( SV2354 @ SX0 ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ))]]) ).
thf(804,plain,
! [SV9: n,SV1075: n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ SV1075 )
= SV1075 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) )
= ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )
@ SV9 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : SX0 @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ))]]) ).
thf(805,plain,
! [SV9: n,SV1075: n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ SV1075 )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) )
= ( cS
@ ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )
@ SV9 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV10,$thf( SV2324 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : SX0 @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ SX0 ) ))]]) ).
thf(806,plain,
! [SV1075: n,SV2379: n > n,SV2378: n > n,SV2325: n > n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ ( SV2325 @ c0 ) )
= ( cS @ ( c_plus @ ( SV2378 @ c0 ) @ ( SV2379 @ c0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ ( SV2325 @ SV1075 ) )
= ( cS @ ( c_plus @ ( SV2378 @ SV1075 ) @ ( SV2379 @ SV1075 ) ) ) )
= $true )
| ( ( ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2378 @ SX0 ) @ ( SV2379 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ) ) )
@ ( SV2325
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2378 @ SX0 ) @ ( SV2379 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV2378
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2378 @ SX0 ) @ ( SV2379 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ) ) )
@ ( cS
@ ( SV2379
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2378 @ SX0 ) @ ( SV2379 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV9,$thf( SV2379 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2378 @ SX0 ) @ ( SV2379 @ SX0 ) ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ) ) )),bind(SV10,$thf( SV2378 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2378 @ SX0 ) @ ( SV2379 @ SX0 ) ) ) @ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2378 @ SX0 ) @ ( SV2379 @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ))]]) ).
thf(807,plain,
! [SV9: n,SV10: n,SV1075: n,SV2379: n > n,SV2378: n > n,SV2325: n > n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ ( SV2325 @ c0 ) )
= ( cS @ ( c_plus @ ( SV2378 @ c0 ) @ ( SV2379 @ c0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ ( SV2325 @ SV1075 ) )
= ( cS @ ( c_plus @ ( SV2378 @ SV1075 ) @ ( SV2379 @ SV1075 ) ) ) )
= $true )
| ( ( ( c_plus
@ ( SV2378
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2378 @ SX0 ) @ ( SV2379 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ) ) )
@ ( SV2379
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2378 @ SX0 ) @ ( SV2379 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ) ) ) )
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2378 @ SX0 ) @ ( SV2379 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ) ) )
@ ( SV2325
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2378 @ SX0 ) @ ( SV2379 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ) ) ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2378 @ SX0 ) @ ( SV2379 @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ))]]) ).
thf(808,plain,
! [SV9: n,SV10: n,SV1075: n,SV2325: n > n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ ( SV2325 @ c0 ) )
= ( cS @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ ( SV2325 @ SV1075 ) )
= ( cS @ SV1075 ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ) )
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ) ) )
@ ( SV2325
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ) ) ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ))]]) ).
thf(809,plain,
! [SV9: n,SV10: n,SV1075: n,SV2375: n > n,SV2325: n > n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ ( SV2325 @ c0 ) )
= ( cS @ ( SV2375 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ ( SV2325 @ SV1075 ) )
= ( cS @ ( SV2375 @ SV1075 ) ) )
= $true )
| ( ( ( cS
@ ( SV2375
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2375 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ) ) ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2375 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ) ) )
@ ( SV2325
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2375 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ) ) ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( SV2375 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ))]]) ).
thf(810,plain,
! [SV9: n,SV10: n,SV1075: n,SV2325: n > n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ ( SV2325 @ c0 ) )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ ( SV2325 @ SV1075 ) )
= SV1075 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) )
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ) ) )
@ ( SV2325
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ) ) ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ))]]) ).
thf(811,plain,
! [SV9: n,SV10: n,SV1075: n,SV2325: n > n,SV2324: n > n] :
( ( ( ( c_plus @ ( SV2324 @ c0 ) @ ( SV2325 @ c0 ) )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV2324 @ SV1075 ) @ ( SV2325 @ SV1075 ) )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus
@ ( SV2324
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ) ) )
@ ( SV2325
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ) ) ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2324 @ SX0 ) @ ( SV2325 @ SX0 ) ) ))]]) ).
thf(812,plain,
! [SV1075: n,SV2332: n > n,SV2331: n > n] :
( ( ( c0
= ( cS @ ( c_plus @ ( SV2331 @ c0 ) @ ( SV2332 @ c0 ) ) ) )
= $false )
| ( ( SV1075
= ( cS @ ( c_plus @ ( SV2331 @ SV1075 ) @ ( SV2332 @ SV1075 ) ) ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2331 @ SX0 ) @ ( SV2332 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( SV2331
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2331 @ SX0 ) @ ( SV2332 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( cS
@ ( SV2332
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2331 @ SX0 ) @ ( SV2332 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV9,$thf( SV2332 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2331 @ SX0 ) @ ( SV2332 @ SX0 ) ) ) @ ^ [SX0: n] : SX0 ) ) )),bind(SV10,$thf( SV2331 @ ( cS @ ( sK2_Xx @ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2331 @ SX0 ) @ ( SV2332 @ SX0 ) ) ) @ ^ [SX0: n] : SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2331 @ SX0 ) @ ( SV2332 @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(813,plain,
! [SV9: n,SV10: n,SV1075: n,SV2332: n > n,SV2331: n > n] :
( ( ( c0
= ( cS @ ( c_plus @ ( SV2331 @ c0 ) @ ( SV2332 @ c0 ) ) ) )
= $false )
| ( ( SV1075
= ( cS @ ( c_plus @ ( SV2331 @ SV1075 ) @ ( SV2332 @ SV1075 ) ) ) )
= $true )
| ( ( ( c_plus
@ ( SV2331
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2331 @ SX0 ) @ ( SV2332 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV2332
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2331 @ SX0 ) @ ( SV2332 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) ) )
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2331 @ SX0 ) @ ( SV2332 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2331 @ SX0 ) @ ( SV2332 @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(814,plain,
! [SV9: n,SV10: n,SV1075: n] :
( ( ( c0
= ( cS @ c0 ) )
= $false )
| ( ( SV1075
= ( cS @ SV1075 ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(815,plain,
! [SV9: n,SV10: n,SV1075: n,SV2328: n > n] :
( ( ( c0
= ( cS @ ( SV2328 @ c0 ) ) )
= $false )
| ( ( SV1075
= ( cS @ ( SV2328 @ SV1075 ) ) )
= $true )
| ( ( ( cS
@ ( SV2328
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2328 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2328 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( SV2328 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(818,plain,
! [SV1075: n,SV2382: n > n,SV2452: n > n,SV2439: n > n,SV2453: n > n] :
( ( ( ( cS
@ ( c_plus
@ ( SV2452
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2452 @ SX0 ) @ ( SV2453 @ SX0 ) ) ) ) ) )
@ ( SV2453
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2452 @ SX0 ) @ ( SV2453 @ SX0 ) ) ) ) ) ) ) )
= ( c_plus
@ ( SV2382
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2452 @ SX0 ) @ ( SV2453 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( SV2439
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2452 @ SX0 ) @ ( SV2453 @ SX0 ) ) ) ) ) ) ) ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2452 @ SV1075 ) @ ( SV2453 @ SV1075 ) ) )
= ( c_plus @ ( SV2382 @ SV1075 ) @ ( cS @ ( SV2439 @ SV1075 ) ) ) )
= $true )
| ( ( ( SV2453 @ c0 )
= ( SV2439 @ c0 ) )
= $false )
| ( ( ( SV2452 @ c0 )
= ( SV2382 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2452 @ SX0 ) @ ( SV2453 @ SX0 ) ) ) )),bind(SV9,$thf( SV2439 @ c0 )),bind(SV10,$thf( SV2382 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) ) ))]]) ).
thf(819,plain,
! [SV1075: n,SV2453: n > n,SV2439: n > n,SV2382: n > n,SV2452: n > n] :
( ( ( ( cS
@ ( c_plus
@ ( SV2452
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2452 @ SX0 ) @ ( SV2453 @ SX0 ) ) ) ) ) )
@ ( SV2453
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2452 @ SX0 ) @ ( SV2453 @ SX0 ) ) ) ) ) ) ) )
= ( c_plus
@ ( SV2382
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2452 @ SX0 ) @ ( SV2453 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( SV2439
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2452 @ SX0 ) @ ( SV2453 @ SX0 ) ) ) ) ) ) ) ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2452 @ SV1075 ) @ ( SV2453 @ SV1075 ) ) )
= ( c_plus @ ( SV2382 @ SV1075 ) @ ( cS @ ( SV2439 @ SV1075 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV2452 @ c0 ) @ ( SV2453 @ c0 ) )
= ( c_plus @ ( SV2382 @ c0 ) @ ( SV2439 @ c0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2452 @ SX0 ) @ ( SV2453 @ SX0 ) ) ) )),bind(SV9,$thf( SV2439 @ c0 )),bind(SV10,$thf( SV2382 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) ) ))]]) ).
thf(820,plain,
! [SV1075: n,SV2439: n > n,SV2382: n > n] :
( ( ( ( cS
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) )
= ( c_plus
@ ( SV2382
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) )
@ ( cS
@ ( SV2439
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( cS @ SV1075 )
= ( c_plus @ ( SV2382 @ SV1075 ) @ ( cS @ ( SV2439 @ SV1075 ) ) ) )
= $true )
| ( ( c0
= ( c_plus @ ( SV2382 @ c0 ) @ ( SV2439 @ c0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV9,$thf( SV2439 @ c0 )),bind(SV10,$thf( SV2382 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) ) ))]]) ).
thf(821,plain,
! [SV1075: n,SV2439: n > n,SV2382: n > n,SV2449: n > n] :
( ( ( ( cS
@ ( SV2449
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( SV2449 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV2382
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( SV2449 @ SX0 ) ) ) ) )
@ ( cS
@ ( SV2439
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( SV2449 @ SX0 ) ) ) ) ) ) ) )
= $false )
| ( ( ( cS @ ( SV2449 @ SV1075 ) )
= ( c_plus @ ( SV2382 @ SV1075 ) @ ( cS @ ( SV2439 @ SV1075 ) ) ) )
= $true )
| ( ( ( cS @ ( SV2449 @ c0 ) )
= ( cS @ ( c_plus @ ( SV2382 @ c0 ) @ ( SV2439 @ c0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( SV2449 @ SX0 ) ) )),bind(SV9,$thf( SV2439 @ c0 )),bind(SV10,$thf( SV2382 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) ) ))]]) ).
thf(822,plain,
! [SV1075: n,SV2439: n > n,SV2382: n > n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( SV2382
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( cS
@ ( SV2439
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) ) ) ) )
= $false )
| ( ( SV1075
= ( c_plus @ ( SV2382 @ SV1075 ) @ ( cS @ ( SV2439 @ SV1075 ) ) ) )
= $true )
| ( ( c0
= ( cS @ ( c_plus @ ( SV2382 @ c0 ) @ ( SV2439 @ c0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV9,$thf( SV2439 @ c0 )),bind(SV10,$thf( SV2382 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) ) ))]]) ).
thf(823,plain,
! [SV1075: n,SV2460: n > n,SV2439: n > n,SV2382: n > n,SV2459: n > n] :
( ( ( ( cS
@ ( c_plus
@ ( SV2459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2459 @ SX0 ) @ ( SV2460 @ SX0 ) ) ) ) ) )
@ ( SV2460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2459 @ SX0 ) @ ( SV2460 @ SX0 ) ) ) ) ) ) ) )
= ( c_plus
@ ( SV2382
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2459 @ SX0 ) @ ( SV2460 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( SV2439
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2459 @ SX0 ) @ ( SV2460 @ SX0 ) ) ) ) ) ) ) ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2459 @ SV1075 ) @ ( SV2460 @ SV1075 ) ) )
= ( c_plus @ ( SV2382 @ SV1075 ) @ ( cS @ ( SV2439 @ SV1075 ) ) ) )
= $true )
| ( ( ( cS @ ( SV2439 @ c0 ) )
= ( cS @ ( SV2460 @ c0 ) ) )
= $false )
| ( ( ( SV2459 @ c0 )
= ( SV2382 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV9,$thf( SV2460 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2459 @ SX0 ) @ ( SV2460 @ SX0 ) ) ) )),bind(SV10,$thf( SV2382 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) ) ))]]) ).
thf(824,plain,
! [SV9: n,SV1075: n,SV2460: n > n,SV2439: n > n,SV2382: n > n,SV2459: n > n] :
( ( ( ( cS
@ ( c_plus
@ ( SV2459
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2459 @ SX0 ) @ ( SV2460 @ SX0 ) ) ) ) ) )
@ ( SV2460
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2459 @ SX0 ) @ ( SV2460 @ SX0 ) ) ) ) ) ) ) )
= ( c_plus
@ ( SV2382
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2459 @ SX0 ) @ ( SV2460 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( SV2439
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2459 @ SX0 ) @ ( SV2460 @ SX0 ) ) ) ) ) ) ) ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2459 @ SV1075 ) @ ( SV2460 @ SV1075 ) ) )
= ( c_plus @ ( SV2382 @ SV1075 ) @ ( cS @ ( SV2439 @ SV1075 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV2459 @ c0 ) @ ( SV2460 @ c0 ) )
= ( c_plus @ ( SV2382 @ c0 ) @ SV9 ) )
= $false )
| ( ( ( cS @ ( SV2439 @ c0 ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2459 @ SX0 ) @ ( SV2460 @ SX0 ) ) ) )),bind(SV10,$thf( SV2382 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) ) ))]]) ).
thf(825,plain,
! [SV9: n,SV1075: n,SV2439: n > n,SV2382: n > n] :
( ( ( ( cS
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) )
= ( c_plus
@ ( SV2382
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) )
@ ( cS
@ ( SV2439
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( cS @ SV1075 )
= ( c_plus @ ( SV2382 @ SV1075 ) @ ( cS @ ( SV2439 @ SV1075 ) ) ) )
= $true )
| ( ( c0
= ( c_plus @ ( SV2382 @ c0 ) @ SV9 ) )
= $false )
| ( ( ( cS @ ( SV2439 @ c0 ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV10,$thf( SV2382 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) ) ))]]) ).
thf(826,plain,
! [SV9: n,SV1075: n,SV2439: n > n,SV2382: n > n,SV2456: n > n] :
( ( ( ( cS
@ ( SV2456
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( SV2456 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV2382
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( SV2456 @ SX0 ) ) ) ) )
@ ( cS
@ ( SV2439
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : ( cS @ ( SV2456 @ SX0 ) ) ) ) ) ) ) )
= $false )
| ( ( ( cS @ ( SV2456 @ SV1075 ) )
= ( c_plus @ ( SV2382 @ SV1075 ) @ ( cS @ ( SV2439 @ SV1075 ) ) ) )
= $true )
| ( ( ( cS @ ( SV2456 @ c0 ) )
= ( cS @ ( c_plus @ ( SV2382 @ c0 ) @ SV9 ) ) )
= $false )
| ( ( ( cS @ ( SV2439 @ c0 ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( SV2456 @ SX0 ) ) )),bind(SV10,$thf( SV2382 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) ) ))]]) ).
thf(827,plain,
! [SV9: n,SV1075: n,SV2439: n > n,SV2382: n > n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( SV2382
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( cS
@ ( SV2439
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) ) ) ) )
= $false )
| ( ( SV1075
= ( c_plus @ ( SV2382 @ SV1075 ) @ ( cS @ ( SV2439 @ SV1075 ) ) ) )
= $true )
| ( ( c0
= ( cS @ ( c_plus @ ( SV2382 @ c0 ) @ SV9 ) ) )
= $false )
| ( ( ( cS @ ( SV2439 @ c0 ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV10,$thf( SV2382 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( cS @ ( SV2439 @ SX0 ) ) ) ))]]) ).
thf(828,plain,
! [SV1075: n,SV2446: n > n,SV2382: n > n,SV2445: n > n] :
( ( ( ( cS
@ ( c_plus
@ ( SV2445
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2445 @ SX0 ) @ ( SV2446 @ SX0 ) ) ) ) ) )
@ ( SV2446
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2445 @ SX0 ) @ ( SV2446 @ SX0 ) ) ) ) ) ) ) )
= ( c_plus
@ ( SV2382
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2445 @ SX0 ) @ ( SV2446 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2445 @ SX0 ) @ ( SV2446 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2445 @ SV1075 ) @ ( SV2446 @ SV1075 ) ) )
= ( c_plus @ ( SV2382 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( c0
= ( cS @ ( SV2446 @ c0 ) ) )
= $false )
| ( ( ( SV2445 @ c0 )
= ( SV2382 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV9,$thf( SV2446 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2445 @ SX0 ) @ ( SV2446 @ SX0 ) ) ) )),bind(SV10,$thf( SV2382 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 ) ))]]) ).
thf(829,plain,
! [SV9: n,SV1075: n,SV2446: n > n,SV2382: n > n,SV2445: n > n] :
( ( ( ( cS
@ ( c_plus
@ ( SV2445
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2445 @ SX0 ) @ ( SV2446 @ SX0 ) ) ) ) ) )
@ ( SV2446
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2445 @ SX0 ) @ ( SV2446 @ SX0 ) ) ) ) ) ) ) )
= ( c_plus
@ ( SV2382
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2445 @ SX0 ) @ ( SV2446 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2445 @ SX0 ) @ ( SV2446 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2445 @ SV1075 ) @ ( SV2446 @ SV1075 ) ) )
= ( c_plus @ ( SV2382 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( c_plus @ ( SV2445 @ c0 ) @ ( SV2446 @ c0 ) )
= ( c_plus @ ( SV2382 @ c0 ) @ SV9 ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2445 @ SX0 ) @ ( SV2446 @ SX0 ) ) ) )),bind(SV10,$thf( SV2382 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 ) ))]]) ).
thf(830,plain,
! [SV9: n,SV1075: n,SV2382: n > n] :
( ( ( ( cS
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) )
= ( c_plus
@ ( SV2382
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS @ SV1075 )
= ( c_plus @ ( SV2382 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( c0
= ( c_plus @ ( SV2382 @ c0 ) @ SV9 ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV10,$thf( SV2382 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 ) ))]]) ).
thf(831,plain,
! [SV9: n,SV1075: n,SV2382: n > n,SV2442: n > n] :
( ( ( ( cS
@ ( SV2442
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( SV2442 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV2382
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( SV2442 @ SX0 ) ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : ( cS @ ( SV2442 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( cS @ ( SV2442 @ SV1075 ) )
= ( c_plus @ ( SV2382 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( ( cS @ ( SV2442 @ c0 ) )
= ( cS @ ( c_plus @ ( SV2382 @ c0 ) @ SV9 ) ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( SV2442 @ SX0 ) ) )),bind(SV10,$thf( SV2382 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 ) ))]]) ).
thf(832,plain,
! [SV9: n,SV1075: n,SV2382: n > n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( SV2382
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( SV1075
= ( c_plus @ ( SV2382 @ SV1075 ) @ SV1075 ) )
= $true )
| ( ( c0
= ( cS @ ( c_plus @ ( SV2382 @ c0 ) @ SV9 ) ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV10,$thf( SV2382 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ SX0 ) ))]]) ).
thf(833,plain,
! [SV1075: n,SV2467: n > n,SV2383: n > n,SV2382: n > n,SV2466: n > n] :
( ( ( ( cS
@ ( c_plus
@ ( SV2466
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2466 @ SX0 ) @ ( SV2467 @ SX0 ) ) ) ) ) )
@ ( SV2467
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2466 @ SX0 ) @ ( SV2467 @ SX0 ) ) ) ) ) ) ) )
= ( c_plus
@ ( SV2382
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2466 @ SX0 ) @ ( SV2467 @ SX0 ) ) ) ) ) )
@ ( SV2383
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2466 @ SX0 ) @ ( SV2467 @ SX0 ) ) ) ) ) ) ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2466 @ SV1075 ) @ ( SV2467 @ SV1075 ) ) )
= ( c_plus @ ( SV2382 @ SV1075 ) @ ( SV2383 @ SV1075 ) ) )
= $true )
| ( ( ( c_plus @ ( SV2382 @ c0 ) @ ( SV2383 @ c0 ) )
= ( c_plus @ ( SV2466 @ c0 ) @ ( cS @ ( SV2467 @ c0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV9,$thf( SV2467 @ c0 )),bind(SV10,$thf( SV2466 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2466 @ SX0 ) @ ( SV2467 @ SX0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) ) ))]]) ).
thf(834,plain,
! [SV9: n,SV10: n,SV1075: n,SV2467: n > n,SV2383: n > n,SV2382: n > n,SV2466: n > n] :
( ( ( ( cS
@ ( c_plus
@ ( SV2466
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2466 @ SX0 ) @ ( SV2467 @ SX0 ) ) ) ) ) )
@ ( SV2467
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2466 @ SX0 ) @ ( SV2467 @ SX0 ) ) ) ) ) ) ) )
= ( c_plus
@ ( SV2382
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2466 @ SX0 ) @ ( SV2467 @ SX0 ) ) ) ) ) )
@ ( SV2383
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2466 @ SX0 ) @ ( SV2467 @ SX0 ) ) ) ) ) ) ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2466 @ SV1075 ) @ ( SV2467 @ SV1075 ) ) )
= ( c_plus @ ( SV2382 @ SV1075 ) @ ( SV2383 @ SV1075 ) ) )
= $true )
| ( ( ( c_plus @ ( SV2466 @ c0 ) @ ( SV2467 @ c0 ) )
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( ( c_plus @ ( SV2382 @ c0 ) @ ( SV2383 @ c0 ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2466 @ SX0 ) @ ( SV2467 @ SX0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) ) ))]]) ).
thf(835,plain,
! [SV9: n,SV10: n,SV1075: n,SV2383: n > n,SV2382: n > n] :
( ( ( ( cS
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) )
= ( c_plus
@ ( SV2382
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) )
@ ( SV2383
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( cS @ SV1075 )
= ( c_plus @ ( SV2382 @ SV1075 ) @ ( SV2383 @ SV1075 ) ) )
= $true )
| ( ( c0
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( ( c_plus @ ( SV2382 @ c0 ) @ ( SV2383 @ c0 ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) ) ))]]) ).
thf(836,plain,
! [SV9: n,SV10: n,SV1075: n,SV2383: n > n,SV2382: n > n,SV2463: n > n] :
( ( ( ( cS
@ ( SV2463
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( SV2463 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV2382
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( SV2463 @ SX0 ) ) ) ) )
@ ( SV2383
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( SV2463 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( cS @ ( SV2463 @ SV1075 ) )
= ( c_plus @ ( SV2382 @ SV1075 ) @ ( SV2383 @ SV1075 ) ) )
= $true )
| ( ( ( cS @ ( SV2463 @ c0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus @ ( SV2382 @ c0 ) @ ( SV2383 @ c0 ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( SV2463 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) ) ))]]) ).
thf(837,plain,
! [SV9: n,SV10: n,SV1075: n,SV2383: n > n,SV2382: n > n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( SV2382
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV2383
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) ) )
= $false )
| ( ( SV1075
= ( c_plus @ ( SV2382 @ SV1075 ) @ ( SV2383 @ SV1075 ) ) )
= $true )
| ( ( c0
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus @ ( SV2382 @ c0 ) @ ( SV2383 @ c0 ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2382 @ SX0 ) @ ( SV2383 @ SX0 ) ) ))]]) ).
thf(838,plain,
! [SV1075: n,SV2390: n > n,SV2389: n > n] :
( ( ( ( c_plus
@ ( SV2389
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2389 @ SX0 ) @ ( SV2390 @ SX0 ) ) ) ) ) )
@ ( SV2390
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2389 @ SX0 ) @ ( SV2390 @ SX0 ) ) ) ) ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2389 @ SX0 ) @ ( SV2390 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2389 @ SV1075 ) @ ( SV2390 @ SV1075 ) ) )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus @ ( SV2389 @ c0 ) @ ( cS @ ( SV2390 @ c0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV9,$thf( SV2390 @ c0 )),bind(SV10,$thf( SV2389 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2389 @ SX0 ) @ ( SV2390 @ SX0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(839,plain,
! [SV1075: n,SV2390: n > n,SV2389: n > n] :
( ( ( ( cS
@ ( c_plus
@ ( SV2389
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2389 @ SX0 ) @ ( SV2390 @ SX0 ) ) ) ) ) )
@ ( SV2390
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2389 @ SX0 ) @ ( SV2390 @ SX0 ) ) ) ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2389 @ SX0 ) @ ( SV2390 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2389 @ SV1075 ) @ ( SV2390 @ SV1075 ) ) )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus @ ( SV2389 @ c0 ) @ ( cS @ ( SV2390 @ c0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV9,$thf( SV2390 @ c0 )),bind(SV10,$thf( SV2389 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2389 @ SX0 ) @ ( SV2390 @ SX0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(840,plain,
! [SV9: n,SV10: n,SV1075: n,SV2390: n > n,SV2389: n > n] :
( ( ( ( c_plus
@ ( SV2389
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2389 @ SX0 ) @ ( SV2390 @ SX0 ) ) ) ) ) )
@ ( SV2390
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2389 @ SX0 ) @ ( SV2390 @ SX0 ) ) ) ) ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2389 @ SX0 ) @ ( SV2390 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2389 @ SV1075 ) @ ( SV2390 @ SV1075 ) ) )
= SV1075 )
= $true )
| ( ( ( c_plus @ ( SV2389 @ c0 ) @ ( SV2390 @ c0 ) )
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2389 @ SX0 ) @ ( SV2390 @ SX0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(841,plain,
! [SV9: n,SV10: n,SV1075: n,SV2390: n > n,SV2389: n > n] :
( ( ( ( cS
@ ( c_plus
@ ( SV2389
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2389 @ SX0 ) @ ( SV2390 @ SX0 ) ) ) ) ) )
@ ( SV2390
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2389 @ SX0 ) @ ( SV2390 @ SX0 ) ) ) ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2389 @ SX0 ) @ ( SV2390 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( cS @ ( c_plus @ ( SV2389 @ SV1075 ) @ ( SV2390 @ SV1075 ) ) )
= SV1075 )
= $true )
| ( ( ( c_plus @ ( SV2389 @ c0 ) @ ( SV2390 @ c0 ) )
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2389 @ SX0 ) @ ( SV2390 @ SX0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(842,plain,
! [SV9: n,SV10: n,SV1075: n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
= $false )
| ( ( ( cS @ SV1075 )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(843,plain,
! [SV9: n,SV10: n,SV1075: n] :
( ( ( ( cS
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ SX0 ) ) ) )
= $false )
| ( ( ( cS @ SV1075 )
= SV1075 )
= $true )
| ( ( c0
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(844,plain,
! [SV9: n,SV10: n,SV1075: n,SV2403: n > n > n > n > n,SV2402: n > n > n > n > n,SV2401: n > n > n,SV2400: n > n > n,SV2399: n > n > n,SV2430: n > n > n] :
( ( ( ( cS
@ ( SV2430
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : ( cS @ ( SV2430 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX0: n,SX1: n] : ( cS @ ( SV2430 @ SX0 @ SX1 ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] :
( sK15_E
@ ( SV2399
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : ( cS @ ( SV2430 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV2400
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : ( cS @ ( SV2430 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV2401
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : ( cS @ ( SV2430 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV2402
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : ( cS @ ( SV2430 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV2403
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : ( cS @ ( SV2430 @ SX1 @ SX2 ) ) )
@ SX0 ) )
@ ^ [SX0: n] :
( cS
@ ( SV2430
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : ( cS @ ( SV2430 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) ) )
= $false )
| ( ( ( sK15_E
@ ( SV2399
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : ( cS @ ( SV2430 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : ( cS @ ( SV2430 @ SX0 @ SX1 ) )
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
@ ( SV2400
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : ( cS @ ( SV2430 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : ( cS @ ( SV2430 @ SX0 @ SX1 ) )
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
@ ( SV2401
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : ( cS @ ( SV2430 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : ( cS @ ( SV2430 @ SX0 @ SX1 ) )
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
@ ( SV2402
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : ( cS @ ( SV2430 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : ( cS @ ( SV2430 @ SX0 @ SX1 ) )
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
@ ( SV2403
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : ( cS @ ( SV2430 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : ( cS @ ( SV2430 @ SX0 @ SX1 ) )
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) ) )
= ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : ( cS @ ( SV2430 @ SX0 @ SX1 ) )
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( sK15_E @ ( SV2399 @ SV1075 @ SX0 ) @ ( SV2400 @ SV1075 @ SX0 ) @ ( SV2401 @ SV1075 @ SX0 ) @ ( SV2402 @ SV1075 @ SX0 ) @ ( SV2403 @ SV1075 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( SV2430 @ SV1075 @ SX0 ) ) ) )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( sK15_E @ ( SV2399 @ c0 @ SX0 ) @ ( SV2400 @ c0 @ SX0 ) @ ( SV2401 @ c0 @ SX0 ) @ ( SV2402 @ c0 @ SX0 ) @ ( SV2403 @ c0 @ SX0 ) )
@ ^ [SX0: n] : ( cS @ ( SV2430 @ c0 @ SX0 ) ) ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) @ ^ [SX1: n] : ( cS @ ( SV2430 @ SX0 @ SX1 ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(845,plain,
! [SV2399: n > n > n,SV2400: n > n > n,SV2401: n > n > n,SV2402: n > n > n > n > n,SV2403: n > n > n > n > n,SV9: n,SV10: n,SV1075: n] :
( ( ( ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX0: n,SX1: n] : SX1 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] :
( sK15_E
@ ( SV2399
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX2 )
@ SX0 )
@ ( SV2400
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX2 )
@ SX0 )
@ ( SV2401
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX2 )
@ SX0 )
@ ( SV2402
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX2 )
@ SX0 )
@ ( SV2403
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX2 )
@ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
= $false )
| ( ( ( sK15_E
@ ( SV2399
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX1 ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX1
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
@ ( SV2400
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX1 ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX1
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
@ ( SV2401
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX1 ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX1
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
@ ( SV2402
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX1 ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX1
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
@ ( SV2403
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX1 ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX1
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) ) )
= ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX1
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( sK15_E @ ( SV2399 @ SV1075 @ SX0 ) @ ( SV2400 @ SV1075 @ SX0 ) @ ( SV2401 @ SV1075 @ SX0 ) @ ( SV2402 @ SV1075 @ SX0 ) @ ( SV2403 @ SV1075 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( sK15_E @ ( SV2399 @ c0 @ SX0 ) @ ( SV2400 @ c0 @ SX0 ) @ ( SV2401 @ c0 @ SX0 ) @ ( SV2402 @ c0 @ SX0 ) @ ( SV2403 @ c0 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) @ ^ [SX1: n] : SX1 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(846,plain,
! [SV2400: n > n > n,SV2401: n > n > n,SV2402: n > n > n > n > n,SV2403: n > n > n > n > n,SV1075: n,SV10: n,SV9: n,SV2399: n > n > n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SY1031: n] : ( sK15_E @ ( SV2399 @ ( sK23_E @ SV9 @ SV10 @ SV1075 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399 ) @ SY1031 ) @ ( SV2400 @ ( sK23_E @ SV9 @ SV10 @ SV1075 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399 ) @ SY1031 ) @ ( SV2401 @ ( sK23_E @ SV9 @ SV10 @ SV1075 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399 ) @ SY1031 ) @ ( SV2402 @ ( sK23_E @ SV9 @ SV10 @ SV1075 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399 ) @ SY1031 ) @ ( SV2403 @ ( sK23_E @ SV9 @ SV10 @ SV1075 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399 ) @ SY1031 ) )
@ ^ [SY1032: n] : ( sK23_E @ SV9 @ SV10 @ SV1075 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399 ) ) )
= ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX1 ) )
= $false )
| ( ( ( sK22_E @ SV2400 @ SV2401 @ SV2402 @ SV2403 @ SV9 @ SV10 @ SV1075 @ SV2399 )
= ( sK15_E
@ ( SV2399
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX1 )
@ ( sK22_E @ SV2400 @ SV2401 @ SV2402 @ SV2403 @ SV9 @ SV10 @ SV1075 @ SV2399 ) )
@ ( SV2400
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX1 )
@ ( sK22_E @ SV2400 @ SV2401 @ SV2402 @ SV2403 @ SV9 @ SV10 @ SV1075 @ SV2399 ) )
@ ( SV2401
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX1 )
@ ( sK22_E @ SV2400 @ SV2401 @ SV2402 @ SV2403 @ SV9 @ SV10 @ SV1075 @ SV2399 ) )
@ ( SV2402
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX1 )
@ ( sK22_E @ SV2400 @ SV2401 @ SV2402 @ SV2403 @ SV9 @ SV10 @ SV1075 @ SV2399 ) )
@ ( SV2403
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX1 )
@ ( sK22_E @ SV2400 @ SV2401 @ SV2402 @ SV2403 @ SV9 @ SV10 @ SV1075 @ SV2399 ) ) ) )
= $false )
| ( ( ( sK15_E
@ ( SV2399
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
@ ( SV2400
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
@ ( SV2401
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
@ ( SV2402
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
@ ( SV2403
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) ) )
= ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( sK15_E @ ( SV2399 @ SV1075 @ SX0 ) @ ( SV2400 @ SV1075 @ SX0 ) @ ( SV2401 @ SV1075 @ SX0 ) @ ( SV2402 @ SV1075 @ SX0 ) @ ( SV2403 @ SV1075 @ SX0 ) )
@ ^ [SX0: n] : SV1075 ) )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( sK15_E @ ( SV2399 @ c0 @ SX0 ) @ ( SV2400 @ c0 @ SX0 ) @ ( SV2401 @ c0 @ SX0 ) @ ( SV2402 @ c0 @ SX0 ) @ ( SV2403 @ c0 @ SX0 ) )
@ ^ [SX0: n] : c0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) @ ^ [SX1: n] : SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(847,plain,
! [SV9: n,SV10: n,SV1075: n,SV2403: n > n > n > n > n,SV2402: n > n > n > n > n,SV2401: n > n > n,SV2400: n > n > n,SV2399: n > n > n] :
( ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) )
= ( sK2_Xx
@ ^ [SX0: n] :
( sK15_E
@ ( SV2399
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX1 )
@ SX0 )
@ ( SV2400
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX1 )
@ SX0 )
@ ( SV2401
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX1 )
@ SX0 )
@ ( SV2402
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX1 )
@ SX0 )
@ ( SV2403
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX1 )
@ SX0 ) )
@ ^ [SX0: n] :
( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX1 ) ) )
= $false )
| ( ( ( sK15_E
@ ( SV2399
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
@ ( SV2400
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
@ ( SV2401
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
@ ( SV2402
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
@ ( SV2403
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) ) )
= ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( sK15_E @ ( SV2399 @ SV1075 @ SX0 ) @ ( SV2400 @ SV1075 @ SX0 ) @ ( SV2401 @ SV1075 @ SX0 ) @ ( SV2402 @ SV1075 @ SX0 ) @ ( SV2403 @ SV1075 @ SX0 ) )
@ ^ [SX0: n] : SV1075 ) )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( sK15_E @ ( SV2399 @ c0 @ SX0 ) @ ( SV2400 @ c0 @ SX0 ) @ ( SV2401 @ c0 @ SX0 ) @ ( SV2402 @ c0 @ SX0 ) @ ( SV2403 @ c0 @ SX0 ) )
@ ^ [SX0: n] : c0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) @ ^ [SX1: n] : SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(848,plain,
! [SV9: n,SV10: n,SV1075: n,SV2403: n > n > n > n > n,SV2402: n > n > n > n > n,SV2401: n > n > n,SV2400: n > n > n,SV2399: n > n > n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] :
( sK15_E
@ ( SV2399
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX1 )
@ SX0 )
@ ( SV2400
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX1 )
@ SX0 )
@ ( SV2401
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX1 )
@ SX0 )
@ ( SV2402
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX1 )
@ SX0 )
@ ( SV2403
@ ( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX1 )
@ SX0 ) )
@ ^ [SX0: n] :
( sK21_E @ SV1075 @ SV10 @ SV9 @ SV2403 @ SV2402 @ SV2401 @ SV2400 @ SV2399
@ ^ [SX1: n,SX2: n] : SX1 ) ) ) )
= $false )
| ( ( ( sK15_E
@ ( SV2399
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
@ ( SV2400
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
@ ( SV2401
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
@ ( SV2402
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
@ ( SV2403
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) )
@ ^ [SX1: n] : SX0 ) ) ) )
@ ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) ) )
= ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( sK15_E @ ( SV2399 @ SV1075 @ SX0 ) @ ( SV2400 @ SV1075 @ SX0 ) @ ( SV2401 @ SV1075 @ SX0 ) @ ( SV2402 @ SV1075 @ SX0 ) @ ( SV2403 @ SV1075 @ SX0 ) )
@ ^ [SX0: n] : SV1075 ) )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( sK15_E @ ( SV2399 @ c0 @ SX0 ) @ ( SV2400 @ c0 @ SX0 ) @ ( SV2401 @ c0 @ SX0 ) @ ( SV2402 @ c0 @ SX0 ) @ ( SV2403 @ c0 @ SX0 ) )
@ ^ [SX0: n] : c0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : ( sK15_E @ ( SV2399 @ SX0 @ SX1 ) @ ( SV2400 @ SX0 @ SX1 ) @ ( SV2401 @ SX0 @ SX1 ) @ ( SV2402 @ SX0 @ SX1 ) @ ( SV2403 @ SX0 @ SX1 ) ) @ ^ [SX1: n] : SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(849,plain,
! [SV1075: n,SV10: n,SV9: n,SV2419: n > n > n] :
( ( ( ( cS
@ ( SV2419
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX1
@ ^ [SX1: n] : ( cS @ ( SV2419 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK19_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : ( cS @ ( SV2419 @ SX0 @ SX1 ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( SV2419
@ ( sK19_E @ SV9 @ SV10 @ SV1075
@ ^ [SX1: n,SX2: n] : ( cS @ ( SV2419 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( SV2419 @ SV1075 @ SX0 ) ) ) )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( SV2419 @ c0 @ SX0 ) ) ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : SX1 @ ^ [SX1: n] : ( cS @ ( SV2419 @ SX0 @ SX1 ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(850,plain,
! [SV1075: n,SV10: n,SV9: n] :
( ( ( ( sK19_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX1 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : SX0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : SX0 ) )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : SX0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : SX1 @ ^ [SX1: n] : SX1 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(851,plain,
! [SV9: n,SV10: n,SV1075: n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX1
@ ^ [SY1010: n] : ( sK20_E @ SV1075 @ SV10 @ SV9 ) ) )
= ( sK19_E @ SV9 @ SV10 @ SV1075
@ ^ [SX1: n,SX2: n] : SX1 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : SV1075 ) )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : c0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : SX1 @ ^ [SX1: n] : SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(852,plain,
! [SV1075: n,SV10: n,SV9: n] :
( ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX1
@ ^ [SX1: n] : SX0 ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( sK19_E @ SV9 @ SV10 @ SV1075
@ ^ [SX1: n,SX2: n] : SX1 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : SV1075 ) )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : c0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : SX1 @ ^ [SX1: n] : SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(853,plain,
! [SV1075: n,SV10: n,SV9: n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX1
@ ^ [SX1: n] : SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( sK19_E @ SV9 @ SV10 @ SV1075
@ ^ [SX1: n,SX2: n] : SX1 ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : SV1075 ) )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : c0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : SX1 @ ^ [SX1: n] : SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(854,plain,
! [SV9: n,SV10: n,SV1075: n,SV2408: n > n > n] :
( ( ( ( cS
@ ( SV2408
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX0
@ ^ [SX1: n] : ( cS @ ( SV2408 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK16_E @ SV1075 @ SV10 @ SV9
@ ^ [SX0: n,SX1: n] : ( cS @ ( SV2408 @ SX0 @ SX1 ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] :
( sK16_E @ SV1075 @ SV10 @ SV9
@ ^ [SX1: n,SX2: n] : ( cS @ ( SV2408 @ SX1 @ SX2 ) ) )
@ ^ [SX0: n] :
( cS
@ ( SV2408
@ ( sK16_E @ SV1075 @ SV10 @ SV9
@ ^ [SX1: n,SX2: n] : ( cS @ ( SV2408 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX0
@ ^ [SX1: n] : ( cS @ ( SV2408 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : ( cS @ ( SV2408 @ SX0 @ SX1 ) )
@ ^ [SX0: n,SX1: n] : SX0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SV1075
@ ^ [SX0: n] : ( cS @ ( SV2408 @ SV1075 @ SX0 ) ) ) )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : c0
@ ^ [SX0: n] : ( cS @ ( SV2408 @ c0 @ SX0 ) ) ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : SX0 @ ^ [SX1: n] : ( cS @ ( SV2408 @ SX0 @ SX1 ) ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(855,plain,
! [SV9: n,SV10: n,SV1075: n] :
( ( ( ( sK16_E @ SV1075 @ SV10 @ SV9
@ ^ [SX0: n,SX1: n] : SX1 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] :
( sK16_E @ SV1075 @ SV10 @ SV9
@ ^ [SX1: n,SX2: n] : SX2 )
@ ^ [SX0: n] : SX0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX0
@ ^ [SX1: n] : SX1 ) ) ) )
= ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX1
@ ^ [SX0: n,SX1: n] : SX0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SV1075
@ ^ [SX0: n] : SX0 ) )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : c0
@ ^ [SX0: n] : SX0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : SX0 @ ^ [SX1: n] : SX1 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(856,plain,
! [SV1075: n,SV10: n,SV9: n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SY997: n] : ( sK18_E @ SV9 @ SV10 @ SV1075 )
@ ^ [SY998: n] : ( sK18_E @ SV9 @ SV10 @ SV1075 ) ) )
= ( sK16_E @ SV1075 @ SV10 @ SV9
@ ^ [SX1: n,SX2: n] : SX1 ) )
= $false )
| ( ( ( sK17_E @ SV9 @ SV10 @ SV1075 )
= ( sK16_E @ SV1075 @ SV10 @ SV9
@ ^ [SX1: n,SX2: n] : SX1 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX0
@ ^ [SX1: n] : SX0 ) ) ) )
= ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : SX0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SV1075
@ ^ [SX0: n] : SV1075 ) )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : c0
@ ^ [SX0: n] : c0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : SX0 @ ^ [SX1: n] : SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(857,plain,
! [SV9: n,SV10: n,SV1075: n] :
( ( ( ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX0
@ ^ [SX1: n] : SX0 ) ) )
= ( sK2_Xx
@ ^ [SX0: n] :
( sK16_E @ SV1075 @ SV10 @ SV9
@ ^ [SX1: n,SX2: n] : SX1 )
@ ^ [SX0: n] :
( sK16_E @ SV1075 @ SV10 @ SV9
@ ^ [SX1: n,SX2: n] : SX1 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX0
@ ^ [SX1: n] : SX0 ) ) ) )
= ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : SX0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SV1075
@ ^ [SX0: n] : SV1075 ) )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : c0
@ ^ [SX0: n] : c0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : SX0 @ ^ [SX1: n] : SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(858,plain,
! [SV9: n,SV10: n,SV1075: n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX0
@ ^ [SX1: n] : SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] :
( sK16_E @ SV1075 @ SV10 @ SV9
@ ^ [SX1: n,SX2: n] : SX1 )
@ ^ [SX0: n] :
( sK16_E @ SV1075 @ SV10 @ SV9
@ ^ [SX1: n,SX2: n] : SX1 ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] :
( cS
@ ( sK2_Xx
@ ^ [SX1: n] : SX0
@ ^ [SX1: n] : SX0 ) ) ) )
= ( sK15_E @ SV9 @ SV10 @ SV1075
@ ^ [SX0: n,SX1: n] : SX0
@ ^ [SX0: n,SX1: n] : SX0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SV1075
@ ^ [SX0: n] : SV1075 ) )
= SV1075 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : c0
@ ^ [SX0: n] : c0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ^ [SX1: n] : SX0 @ ^ [SX1: n] : SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(859,plain,
! [SV9: n,SV10: n,SV1075: n,SV2394: n > n > n,SV2393: n > n > n] :
( ( ( ( sK2_Xx
@ ( SV2393
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( sK2_Xx @ ( SV2393 @ SX0 ) @ ( SV2394 @ SX0 ) ) ) ) ) )
@ ( SV2394
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( sK2_Xx @ ( SV2393 @ SX0 ) @ ( SV2394 @ SX0 ) ) ) ) ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( sK2_Xx @ ( SV2393 @ SX0 ) @ ( SV2394 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS @ ( sK2_Xx @ ( SV2393 @ SV1075 ) @ ( SV2394 @ SV1075 ) ) )
= SV1075 )
= $true )
| ( ( ( cS @ ( sK2_Xx @ ( SV2393 @ c0 ) @ ( SV2394 @ c0 ) ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( sK2_Xx @ ( SV2393 @ SX0 ) @ ( SV2394 @ SX0 ) ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(860,plain,
! [SV9: n,SV10: n,SV1075: n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
= ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ SX0 ) ) )
= $false )
| ( ( ( cS @ SV1075 )
= SV1075 )
= $true )
| ( ( ( cS @ c0 )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(861,plain,
! [SV9: n,SV10: n,SV1075: n,SV2386: n > n] :
( ( ( ( cS
@ ( SV2386
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( SV2386 @ SX0 ) ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( cS @ ( SV2386 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS @ ( SV2386 @ SV1075 ) )
= SV1075 )
= $true )
| ( ( ( cS @ ( SV2386 @ c0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1076,$thf( ^ [SX0: n] : ( cS @ ( SV2386 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(863,plain,
! [SV1075: n,SV2470: n > n,SV2494: n > n,SV2481: n > n,SV2495: n > n] :
( ( ( ( c_plus
@ ( SV2470
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2494 @ SX0 ) @ ( SV2495 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( SV2481
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2494 @ SX0 ) @ ( SV2495 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV2494
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2494 @ SX0 ) @ ( SV2495 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) )
@ ( SV2495
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2494 @ SX0 ) @ ( SV2495 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ SV1075 ) @ ( cS @ ( SV2481 @ SV1075 ) ) )
= ( cS @ ( c_plus @ ( SV2494 @ SV1075 ) @ ( SV2495 @ SV1075 ) ) ) )
= $true )
| ( ( ( SV2495 @ c0 )
= ( SV2481 @ c0 ) )
= $false )
| ( ( ( SV2494 @ c0 )
= ( SV2470 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2494 @ SX0 ) @ ( SV2495 @ SX0 ) ) ) )),bind(SV9,$thf( SV2481 @ c0 )),bind(SV10,$thf( SV2470 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ))]]) ).
thf(864,plain,
! [SV1075: n,SV2481: n > n,SV2495: n > n,SV2494: n > n,SV2470: n > n] :
( ( ( ( c_plus
@ ( SV2470
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2494 @ SX0 ) @ ( SV2495 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( SV2481
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2494 @ SX0 ) @ ( SV2495 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV2494
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2494 @ SX0 ) @ ( SV2495 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) )
@ ( SV2495
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2494 @ SX0 ) @ ( SV2495 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ SV1075 ) @ ( cS @ ( SV2481 @ SV1075 ) ) )
= ( cS @ ( c_plus @ ( SV2494 @ SV1075 ) @ ( SV2495 @ SV1075 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV2494 @ c0 ) @ ( SV2495 @ c0 ) )
= ( c_plus @ ( SV2470 @ c0 ) @ ( SV2481 @ c0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2494 @ SX0 ) @ ( SV2495 @ SX0 ) ) ) )),bind(SV9,$thf( SV2481 @ c0 )),bind(SV10,$thf( SV2470 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ))]]) ).
thf(865,plain,
! [SV1075: n,SV2481: n > n,SV2470: n > n] :
( ( ( ( c_plus
@ ( SV2470
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( SV2481
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) ) ) )
= ( cS
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ SV1075 ) @ ( cS @ ( SV2481 @ SV1075 ) ) )
= ( cS @ SV1075 ) )
= $true )
| ( ( c0
= ( c_plus @ ( SV2470 @ c0 ) @ ( SV2481 @ c0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV9,$thf( SV2481 @ c0 )),bind(SV10,$thf( SV2470 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ))]]) ).
thf(866,plain,
! [SV1075: n,SV2481: n > n,SV2491: n > n,SV2470: n > n] :
( ( ( ( c_plus
@ ( SV2470
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2491 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( SV2481
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2491 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) ) ) )
= ( cS
@ ( SV2491
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2491 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ SV1075 ) @ ( cS @ ( SV2481 @ SV1075 ) ) )
= ( cS @ ( SV2491 @ SV1075 ) ) )
= $true )
| ( ( ( cS @ ( SV2491 @ c0 ) )
= ( cS @ ( c_plus @ ( SV2470 @ c0 ) @ ( SV2481 @ c0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( SV2491 @ SX0 ) ) )),bind(SV9,$thf( SV2481 @ c0 )),bind(SV10,$thf( SV2470 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ))]]) ).
thf(867,plain,
! [SV1075: n,SV2481: n > n,SV2470: n > n] :
( ( ( ( c_plus
@ ( SV2470
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( SV2481
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ SV1075 ) @ ( cS @ ( SV2481 @ SV1075 ) ) )
= SV1075 )
= $true )
| ( ( c0
= ( cS @ ( c_plus @ ( SV2470 @ c0 ) @ ( SV2481 @ c0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV9,$thf( SV2481 @ c0 )),bind(SV10,$thf( SV2470 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ))]]) ).
thf(868,plain,
! [SV1075: n,SV2481: n > n,SV2502: n > n,SV2470: n > n,SV2501: n > n] :
( ( ( ( c_plus
@ ( SV2470
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2501 @ SX0 ) @ ( SV2502 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( SV2481
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2501 @ SX0 ) @ ( SV2502 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV2501
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2501 @ SX0 ) @ ( SV2502 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) )
@ ( SV2502
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2501 @ SX0 ) @ ( SV2502 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ SV1075 ) @ ( cS @ ( SV2481 @ SV1075 ) ) )
= ( cS @ ( c_plus @ ( SV2501 @ SV1075 ) @ ( SV2502 @ SV1075 ) ) ) )
= $true )
| ( ( ( cS @ ( SV2481 @ c0 ) )
= ( cS @ ( SV2502 @ c0 ) ) )
= $false )
| ( ( ( SV2501 @ c0 )
= ( SV2470 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV9,$thf( SV2502 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2501 @ SX0 ) @ ( SV2502 @ SX0 ) ) ) )),bind(SV10,$thf( SV2470 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ))]]) ).
thf(869,plain,
! [SV9: n,SV1075: n,SV2481: n > n,SV2502: n > n,SV2501: n > n,SV2470: n > n] :
( ( ( ( c_plus
@ ( SV2470
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2501 @ SX0 ) @ ( SV2502 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( SV2481
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2501 @ SX0 ) @ ( SV2502 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV2501
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2501 @ SX0 ) @ ( SV2502 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) )
@ ( SV2502
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2501 @ SX0 ) @ ( SV2502 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ SV1075 ) @ ( cS @ ( SV2481 @ SV1075 ) ) )
= ( cS @ ( c_plus @ ( SV2501 @ SV1075 ) @ ( SV2502 @ SV1075 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV2501 @ c0 ) @ ( SV2502 @ c0 ) )
= ( c_plus @ ( SV2470 @ c0 ) @ SV9 ) )
= $false )
| ( ( ( cS @ ( SV2481 @ c0 ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2501 @ SX0 ) @ ( SV2502 @ SX0 ) ) ) )),bind(SV10,$thf( SV2470 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ))]]) ).
thf(870,plain,
! [SV9: n,SV1075: n,SV2481: n > n,SV2470: n > n] :
( ( ( ( c_plus
@ ( SV2470
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( SV2481
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) ) ) )
= ( cS
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ SV1075 ) @ ( cS @ ( SV2481 @ SV1075 ) ) )
= ( cS @ SV1075 ) )
= $true )
| ( ( c0
= ( c_plus @ ( SV2470 @ c0 ) @ SV9 ) )
= $false )
| ( ( ( cS @ ( SV2481 @ c0 ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV10,$thf( SV2470 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ))]]) ).
thf(871,plain,
! [SV9: n,SV1075: n,SV2481: n > n,SV2498: n > n,SV2470: n > n] :
( ( ( ( c_plus
@ ( SV2470
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2498 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( SV2481
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2498 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) ) ) )
= ( cS
@ ( SV2498
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2498 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ SV1075 ) @ ( cS @ ( SV2481 @ SV1075 ) ) )
= ( cS @ ( SV2498 @ SV1075 ) ) )
= $true )
| ( ( ( cS @ ( SV2498 @ c0 ) )
= ( cS @ ( c_plus @ ( SV2470 @ c0 ) @ SV9 ) ) )
= $false )
| ( ( ( cS @ ( SV2481 @ c0 ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( SV2498 @ SX0 ) ) )),bind(SV10,$thf( SV2470 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ))]]) ).
thf(872,plain,
! [SV9: n,SV1075: n,SV2481: n > n,SV2470: n > n] :
( ( ( ( c_plus
@ ( SV2470
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( SV2481
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ SV1075 ) @ ( cS @ ( SV2481 @ SV1075 ) ) )
= SV1075 )
= $true )
| ( ( c0
= ( cS @ ( c_plus @ ( SV2470 @ c0 ) @ SV9 ) ) )
= $false )
| ( ( ( cS @ ( SV2481 @ c0 ) )
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV10,$thf( SV2470 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( cS @ ( SV2481 @ SX0 ) ) ) ))]]) ).
thf(873,plain,
! [SV1075: n,SV2488: n > n,SV2470: n > n,SV2487: n > n] :
( ( ( ( c_plus
@ ( SV2470
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2487 @ SX0 ) @ ( SV2488 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2487 @ SX0 ) @ ( SV2488 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ) ) )
= ( cS
@ ( c_plus
@ ( SV2487
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2487 @ SX0 ) @ ( SV2488 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ) ) )
@ ( SV2488
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2487 @ SX0 ) @ ( SV2488 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ SV1075 ) @ SV1075 )
= ( cS @ ( c_plus @ ( SV2487 @ SV1075 ) @ ( SV2488 @ SV1075 ) ) ) )
= $true )
| ( ( c0
= ( cS @ ( SV2488 @ c0 ) ) )
= $false )
| ( ( ( SV2487 @ c0 )
= ( SV2470 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV9,$thf( SV2488 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2487 @ SX0 ) @ ( SV2488 @ SX0 ) ) ) )),bind(SV10,$thf( SV2470 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ))]]) ).
thf(874,plain,
! [SV9: n,SV1075: n,SV2488: n > n,SV2487: n > n,SV2470: n > n] :
( ( ( ( c_plus
@ ( SV2470
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2487 @ SX0 ) @ ( SV2488 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2487 @ SX0 ) @ ( SV2488 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ) ) )
= ( cS
@ ( c_plus
@ ( SV2487
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2487 @ SX0 ) @ ( SV2488 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ) ) )
@ ( SV2488
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2487 @ SX0 ) @ ( SV2488 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ SV1075 ) @ SV1075 )
= ( cS @ ( c_plus @ ( SV2487 @ SV1075 ) @ ( SV2488 @ SV1075 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV2487 @ c0 ) @ ( SV2488 @ c0 ) )
= ( c_plus @ ( SV2470 @ c0 ) @ SV9 ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2487 @ SX0 ) @ ( SV2488 @ SX0 ) ) ) )),bind(SV10,$thf( SV2470 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ))]]) ).
thf(875,plain,
! [SV9: n,SV1075: n,SV2470: n > n] :
( ( ( ( c_plus
@ ( SV2470
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ) ) )
= ( cS
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ SV1075 ) @ SV1075 )
= ( cS @ SV1075 ) )
= $true )
| ( ( c0
= ( c_plus @ ( SV2470 @ c0 ) @ SV9 ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV10,$thf( SV2470 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ))]]) ).
thf(876,plain,
! [SV9: n,SV1075: n,SV2484: n > n,SV2470: n > n] :
( ( ( ( c_plus
@ ( SV2470
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2484 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2484 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ) ) )
= ( cS
@ ( SV2484
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2484 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ SV1075 ) @ SV1075 )
= ( cS @ ( SV2484 @ SV1075 ) ) )
= $true )
| ( ( ( cS @ ( SV2484 @ c0 ) )
= ( cS @ ( c_plus @ ( SV2470 @ c0 ) @ SV9 ) ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( SV2484 @ SX0 ) ) )),bind(SV10,$thf( SV2470 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ))]]) ).
thf(877,plain,
! [SV9: n,SV1075: n,SV2470: n > n] :
( ( ( ( c_plus
@ ( SV2470
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ SV1075 ) @ SV1075 )
= SV1075 )
= $true )
| ( ( c0
= ( cS @ ( c_plus @ ( SV2470 @ c0 ) @ SV9 ) ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV10,$thf( SV2470 @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ SX0 ) ))]]) ).
thf(878,plain,
! [SV1075: n,SV2471: n > n,SV2509: n > n,SV2508: n > n,SV2470: n > n] :
( ( ( ( c_plus
@ ( SV2470
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2508 @ SX0 ) @ ( SV2509 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ) ) )
@ ( SV2471
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2508 @ SX0 ) @ ( SV2509 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV2508
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2508 @ SX0 ) @ ( SV2509 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ) ) )
@ ( SV2509
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2508 @ SX0 ) @ ( SV2509 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ SV1075 ) @ ( SV2471 @ SV1075 ) )
= ( cS @ ( c_plus @ ( SV2508 @ SV1075 ) @ ( SV2509 @ SV1075 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV2470 @ c0 ) @ ( SV2471 @ c0 ) )
= ( c_plus @ ( SV2508 @ c0 ) @ ( cS @ ( SV2509 @ c0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV9,$thf( SV2509 @ c0 )),bind(SV10,$thf( SV2508 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2508 @ SX0 ) @ ( SV2509 @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ))]]) ).
thf(879,plain,
! [SV9: n,SV10: n,SV1075: n,SV2471: n > n,SV2509: n > n,SV2508: n > n,SV2470: n > n] :
( ( ( ( c_plus
@ ( SV2470
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2508 @ SX0 ) @ ( SV2509 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ) ) )
@ ( SV2471
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2508 @ SX0 ) @ ( SV2509 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ) ) ) )
= ( cS
@ ( c_plus
@ ( SV2508
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2508 @ SX0 ) @ ( SV2509 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ) ) )
@ ( SV2509
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2508 @ SX0 ) @ ( SV2509 @ SX0 ) ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ SV1075 ) @ ( SV2471 @ SV1075 ) )
= ( cS @ ( c_plus @ ( SV2508 @ SV1075 ) @ ( SV2509 @ SV1075 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV2508 @ c0 ) @ ( SV2509 @ c0 ) )
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ c0 ) @ ( SV2471 @ c0 ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2508 @ SX0 ) @ ( SV2509 @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ))]]) ).
thf(880,plain,
! [SV9: n,SV10: n,SV1075: n,SV2471: n > n,SV2470: n > n] :
( ( ( ( c_plus
@ ( SV2470
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ) ) )
@ ( SV2471
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ) ) ) )
= ( cS
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ SV1075 ) @ ( SV2471 @ SV1075 ) )
= ( cS @ SV1075 ) )
= $true )
| ( ( c0
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ c0 ) @ ( SV2471 @ c0 ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ))]]) ).
thf(881,plain,
! [SV9: n,SV10: n,SV1075: n,SV2471: n > n,SV2505: n > n,SV2470: n > n] :
( ( ( ( c_plus
@ ( SV2470
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2505 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ) ) )
@ ( SV2471
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2505 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ) ) ) )
= ( cS
@ ( SV2505
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2505 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ SV1075 ) @ ( SV2471 @ SV1075 ) )
= ( cS @ ( SV2505 @ SV1075 ) ) )
= $true )
| ( ( ( cS @ ( SV2505 @ c0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ c0 ) @ ( SV2471 @ c0 ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( SV2505 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ))]]) ).
thf(882,plain,
! [SV9: n,SV10: n,SV1075: n,SV2471: n > n,SV2470: n > n] :
( ( ( ( c_plus
@ ( SV2470
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ) ) )
@ ( SV2471
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ SV1075 ) @ ( SV2471 @ SV1075 ) )
= SV1075 )
= $true )
| ( ( c0
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus @ ( SV2470 @ c0 ) @ ( SV2471 @ c0 ) )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2470 @ SX0 ) @ ( SV2471 @ SX0 ) ) ))]]) ).
thf(883,plain,
! [SV1075: n,SV2478: n > n,SV2477: n > n] :
( ( ( ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2477 @ SX0 ) @ ( SV2478 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( SV2477
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2477 @ SX0 ) @ ( SV2478 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV2478
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2477 @ SX0 ) @ ( SV2478 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) ) ) )
= $false )
| ( ( SV1075
= ( cS @ ( c_plus @ ( SV2477 @ SV1075 ) @ ( SV2478 @ SV1075 ) ) ) )
= $true )
| ( ( c0
= ( c_plus @ ( SV2477 @ c0 ) @ ( cS @ ( SV2478 @ c0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV9,$thf( SV2478 @ c0 )),bind(SV10,$thf( SV2477 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2477 @ SX0 ) @ ( SV2478 @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(884,plain,
! [SV1075: n,SV2478: n > n,SV2477: n > n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2477 @ SX0 ) @ ( SV2478 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) )
= ( cS
@ ( c_plus
@ ( SV2477
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2477 @ SX0 ) @ ( SV2478 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV2478
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2477 @ SX0 ) @ ( SV2478 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) ) ) ) )
= $false )
| ( ( SV1075
= ( cS @ ( c_plus @ ( SV2477 @ SV1075 ) @ ( SV2478 @ SV1075 ) ) ) )
= $true )
| ( ( c0
= ( c_plus @ ( SV2477 @ c0 ) @ ( cS @ ( SV2478 @ c0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV9,$thf( SV2478 @ c0 )),bind(SV10,$thf( SV2477 @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2477 @ SX0 ) @ ( SV2478 @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(885,plain,
! [SV9: n,SV10: n,SV1075: n,SV2478: n > n,SV2477: n > n] :
( ( ( ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2477 @ SX0 ) @ ( SV2478 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 )
= ( c_plus
@ ( SV2477
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2477 @ SX0 ) @ ( SV2478 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV2478
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2477 @ SX0 ) @ ( SV2478 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) ) ) )
= $false )
| ( ( SV1075
= ( cS @ ( c_plus @ ( SV2477 @ SV1075 ) @ ( SV2478 @ SV1075 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV2477 @ c0 ) @ ( SV2478 @ c0 ) )
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2477 @ SX0 ) @ ( SV2478 @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(886,plain,
! [SV9: n,SV10: n,SV1075: n,SV2478: n > n,SV2477: n > n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2477 @ SX0 ) @ ( SV2478 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) )
= ( cS
@ ( c_plus
@ ( SV2477
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2477 @ SX0 ) @ ( SV2478 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV2478
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2477 @ SX0 ) @ ( SV2478 @ SX0 ) ) )
@ ^ [SX0: n] : SX0 ) ) ) ) ) )
= $false )
| ( ( SV1075
= ( cS @ ( c_plus @ ( SV2477 @ SV1075 ) @ ( SV2478 @ SV1075 ) ) ) )
= $true )
| ( ( ( c_plus @ ( SV2477 @ c0 ) @ ( SV2478 @ c0 ) )
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( c_plus @ ( SV2477 @ SX0 ) @ ( SV2478 @ SX0 ) ) ) )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(887,plain,
! [SV9: n,SV10: n,SV1075: n] :
( ( ( ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : SX0 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
= $false )
| ( ( SV1075
= ( cS @ SV1075 ) )
= $true )
| ( ( c0
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(888,plain,
! [SV9: n,SV10: n,SV1075: n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( cS
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( SV1075
= ( cS @ SV1075 ) )
= $true )
| ( ( c0
= ( c_plus @ SV10 @ SV9 ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ SX0 ) )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(889,plain,
! [SV9: n,SV10: n,SV1075: n,SV2474: n > n] :
( ( ( ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2474 @ SX0 ) )
@ ^ [SX0: n] : SX0 )
= ( SV2474
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2474 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( SV1075
= ( cS @ ( SV2474 @ SV1075 ) ) )
= $true )
| ( ( ( cS @ ( SV2474 @ c0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( SV2474 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(890,plain,
! [SV9: n,SV10: n,SV1075: n,SV2474: n > n] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2474 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
= ( cS
@ ( SV2474
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( cS @ ( SV2474 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) ) )
= $false )
| ( ( SV1075
= ( cS @ ( SV2474 @ SV1075 ) ) )
= $true )
| ( ( ( cS @ ( SV2474 @ c0 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[435:[bind(SV1074,$thf( ^ [SX0: n] : ( cS @ ( SV2474 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(892,plain,
! [SV2606: n > n,SV2605: n > n] :
( ( ( ( c_plus @ ( SV2605 @ c0 ) @ ( SV2606 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV2605
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2605 @ SX0 ) @ ( SV2606 @ SX0 ) ) ) ) )
@ ( SV2606
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2605 @ SX0 ) @ ( SV2606 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2605 @ SX0 ) @ ( SV2606 @ SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2605 @ SX0 ) @ ( SV2606 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2605 @ c0 ) @ ( SV2606 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2605 @ SX0 ) @ ( SV2606 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(893,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( c0
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(894,plain,
! [SV2579: n > n,SV2578: n > n] :
( ( ( ( c_plus @ ( SV2578 @ c0 ) @ ( SV2579 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus
@ ( SV2578
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV2578 @ SX0 ) @ ( SV2579 @ SX0 ) ) ) ) )
@ ( SV2579
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV2578 @ SX0 ) @ ( SV2579 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV2578 @ SX0 ) @ ( SV2579 @ SX0 ) ) ) )
@ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV2578 @ c0 ) @ ( SV2579 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2578 @ SX0 ) @ ( SV2579 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(895,plain,
( ( ( c0
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 ) )
@ sK1_Xx ) )
= $false )
| ( ( c0
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(896,plain,
! [SV2553: n > n,SV2552: n > n] :
( ( ( ( c_plus @ ( SV2552 @ c0 ) @ ( SV2553 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV2552
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2552 @ SX0 ) @ ( SV2553 @ SX0 ) ) ) ) )
@ ( SV2553
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2552 @ SX0 ) @ ( SV2553 @ SX0 ) ) ) ) ) )
= ( c_plus @ c0
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2552 @ SX0 ) @ ( SV2553 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2552 @ sK1_Xx ) @ ( SV2553 @ sK1_Xx ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2552 @ SX0 ) @ ( SV2553 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(897,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus @ c0
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( sK1_Xx
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(898,plain,
! [SV1075: n,SV2531: n > n,SV2530: n > n] :
( ( ( ( c_plus @ ( SV2530 @ c0 ) @ ( SV2531 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus
@ ( SV2530
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV2530 @ SX0 ) @ ( SV2531 @ SX0 ) ) ) ) )
@ ( SV2531
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : ( c_plus @ ( SV2530 @ SX0 ) @ ( SV2531 @ SX0 ) ) ) ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV2530 @ SV1075 ) @ ( SV2531 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2530 @ SX0 ) @ ( SV2531 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(899,plain,
( ( ( c0
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(900,plain,
! [SV2512: n > n,SV2513: n > n] :
( ( ( c0
= ( SV2513 @ c0 ) )
= $false )
| ( ( c0
= ( SV2512 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV2513
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV2512
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false )
| ( ( ( c_plus @ ( SV2512 @ sK1_Xx ) @ ( SV2513 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) ) ))]]) ).
thf(901,plain,
! [SV2513: n > n,SV2512: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV2512 @ c0 ) @ ( SV2513 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV2513
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV2512
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false )
| ( ( ( c_plus @ ( SV2512 @ sK1_Xx ) @ ( SV2513 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) ) ))]]) ).
thf(902,plain,
! [SV2512: n > n,SV2513: n > n] :
( ( ( c0
= ( SV2513 @ c0 ) )
= $false )
| ( ( c0
= ( SV2512 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV2512
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
@ ( SV2513
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false )
| ( ( ( c_plus @ ( SV2512 @ sK1_Xx ) @ ( SV2513 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) ) ))]]) ).
thf(903,plain,
! [SV2513: n > n,SV2512: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV2512 @ c0 ) @ ( SV2513 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV2512
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
@ ( SV2513
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false )
| ( ( ( c_plus @ ( SV2512 @ sK1_Xx ) @ ( SV2513 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) ) ))]]) ).
thf(904,plain,
! [SV2512: n > n,SV2513: n > n] :
( ( ( c0
= ( SV2513 @ c0 ) )
= $false )
| ( ( c0
= ( SV2512 @ c0 ) )
= $false )
| ( ( c0
= ( SV2513
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
= ( SV2512
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2512 @ sK1_Xx ) @ ( SV2513 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) ) ))]]) ).
thf(905,plain,
! [SV2513: n > n,SV2512: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV2512 @ c0 ) @ ( SV2513 @ c0 ) ) )
= $false )
| ( ( c0
= ( SV2513
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
= ( SV2512
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2512 @ sK1_Xx ) @ ( SV2513 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) ) ))]]) ).
thf(906,plain,
! [SV2512: n > n,SV2513: n > n] :
( ( ( c0
= ( SV2513 @ c0 ) )
= $false )
| ( ( c0
= ( SV2512 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( c_plus
@ ( SV2512
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
@ ( SV2513
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2512 @ sK1_Xx ) @ ( SV2513 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) ) ))]]) ).
thf(907,plain,
! [SV2513: n > n,SV2512: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV2512 @ c0 ) @ ( SV2513 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( c_plus
@ ( SV2512
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
@ ( SV2513
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2512 @ sK1_Xx ) @ ( SV2513 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) ) ))]]) ).
thf(908,plain,
! [SV2512: n > n,SV2513: n > n] :
( ( ( c0
= ( SV2513 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV2512 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) )
= ( SV2513
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) ) )
= $false )
| ( ( sK1_Xx
= ( SV2512
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2512 @ c0 ) @ ( SV2513 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) ) ))]]) ).
thf(909,plain,
! [SV2513: n > n,SV2512: n > n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( SV2512 @ c0 ) @ ( SV2513 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) )
= ( SV2513
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) ) )
= $false )
| ( ( sK1_Xx
= ( SV2512
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2512 @ c0 ) @ ( SV2513 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) ) ))]]) ).
thf(910,plain,
! [SV2512: n > n,SV2513: n > n] :
( ( ( c0
= ( SV2513 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV2512 @ c0 ) )
= $false )
| ( ( ( c_plus @ sK1_Xx
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) )
= ( c_plus
@ ( SV2512
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) )
@ ( SV2513
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2512 @ c0 ) @ ( SV2513 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) ) ))]]) ).
thf(911,plain,
! [SV2513: n > n,SV2512: n > n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( SV2512 @ c0 ) @ ( SV2513 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) )
= ( c_plus
@ ( SV2512
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) )
@ ( SV2513
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2512 @ c0 ) @ ( SV2513 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) ) ))]]) ).
thf(912,plain,
! [SV1075: n,SV2512: n > n,SV2513: n > n] :
( ( ( c0
= ( SV2513 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV2512 @ c0 ) )
= $false )
| ( ( c0
= ( SV2513
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) ) )
= $false )
| ( ( sK1_Xx
= ( SV2512
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2512 @ SV1075 ) @ ( SV2513 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) ) ))]]) ).
thf(913,plain,
! [SV1075: n,SV2513: n > n,SV2512: n > n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( SV2512 @ c0 ) @ ( SV2513 @ c0 ) ) )
= $false )
| ( ( c0
= ( SV2513
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) ) )
= $false )
| ( ( sK1_Xx
= ( SV2512
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2512 @ SV1075 ) @ ( SV2513 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) ) ))]]) ).
thf(914,plain,
! [SV1075: n,SV2512: n > n,SV2513: n > n] :
( ( ( c0
= ( SV2513 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV2512 @ c0 ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus
@ ( SV2512
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) )
@ ( SV2513
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2512 @ SV1075 ) @ ( SV2513 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) ) ))]]) ).
thf(915,plain,
! [SV1075: n,SV2513: n > n,SV2512: n > n] :
( ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( SV2512 @ c0 ) @ ( SV2513 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus
@ ( SV2512
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) )
@ ( SV2513
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2512 @ SV1075 ) @ ( SV2513 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) ) ))]]) ).
thf(916,plain,
! [SV1075: n,SV2512: n > n,SV2634: n > n,SV2513: n > n,SV2635: n > n] :
( ( ( ( c_plus @ ( SV2634 @ SV1075 ) @ ( SV2635 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2512 @ SV1075 ) @ ( SV2513 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( SV2635 @ c0 )
= ( SV2513 @ c0 ) )
= $false )
| ( ( ( SV2634 @ c0 )
= ( SV2512 @ c0 ) )
= $false )
| ( ( ( SV2635
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2634 @ SX0 ) @ ( SV2635 @ SX0 ) ) ) ) )
= ( SV2513
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2634 @ SX0 ) @ ( SV2635 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV2634
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2634 @ SX0 ) @ ( SV2635 @ SX0 ) ) ) ) )
= ( SV2512
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2634 @ SX0 ) @ ( SV2635 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2634 @ SX0 ) @ ( SV2635 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) ) ))]]) ).
thf(917,plain,
! [SV1075: n,SV2634: n > n,SV2513: n > n,SV2512: n > n,SV2635: n > n] :
( ( ( ( c_plus @ ( SV2634 @ c0 ) @ ( SV2635 @ c0 ) )
= ( c_plus @ ( SV2512 @ c0 ) @ ( SV2513 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( SV2634 @ SV1075 ) @ ( SV2635 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2512 @ SV1075 ) @ ( SV2513 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( SV2635
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2634 @ SX0 ) @ ( SV2635 @ SX0 ) ) ) ) )
= ( SV2513
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2634 @ SX0 ) @ ( SV2635 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV2634
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2634 @ SX0 ) @ ( SV2635 @ SX0 ) ) ) ) )
= ( SV2512
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2634 @ SX0 ) @ ( SV2635 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2634 @ SX0 ) @ ( SV2635 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) ) ))]]) ).
thf(918,plain,
! [SV1075: n,SV2512: n > n,SV2634: n > n,SV2513: n > n,SV2635: n > n] :
( ( ( ( c_plus
@ ( SV2634
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2634 @ SX0 ) @ ( SV2635 @ SX0 ) ) ) ) )
@ ( SV2635
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2634 @ SX0 ) @ ( SV2635 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV2512
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2634 @ SX0 ) @ ( SV2635 @ SX0 ) ) ) ) )
@ ( SV2513
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2634 @ SX0 ) @ ( SV2635 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2634 @ SV1075 ) @ ( SV2635 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2512 @ SV1075 ) @ ( SV2513 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( SV2635 @ c0 )
= ( SV2513 @ c0 ) )
= $false )
| ( ( ( SV2634 @ c0 )
= ( SV2512 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2634 @ SX0 ) @ ( SV2635 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) ) ))]]) ).
thf(919,plain,
! [SV1075: n,SV2513: n > n,SV2512: n > n,SV2635: n > n,SV2634: n > n] :
( ( ( ( c_plus @ ( SV2634 @ c0 ) @ ( SV2635 @ c0 ) )
= ( c_plus @ ( SV2512 @ c0 ) @ ( SV2513 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( SV2634
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2634 @ SX0 ) @ ( SV2635 @ SX0 ) ) ) ) )
@ ( SV2635
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2634 @ SX0 ) @ ( SV2635 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV2512
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2634 @ SX0 ) @ ( SV2635 @ SX0 ) ) ) ) )
@ ( SV2513
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2634 @ SX0 ) @ ( SV2635 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2634 @ SV1075 ) @ ( SV2635 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2512 @ SV1075 ) @ ( SV2513 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2634 @ SX0 ) @ ( SV2635 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) ) ))]]) ).
thf(920,plain,
! [SV2513: n > n,SV2512: n > n] :
( ( ( c0
= ( c_plus @ ( SV2512 @ c0 ) @ ( SV2513 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( SV2512
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV2513
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2512 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV2513 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2512 @ SX0 ) @ ( SV2513 @ SX0 ) ) ))]]) ).
thf(921,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(922,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(923,plain,
( ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ sK1_Xx
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(924,plain,
( ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(925,plain,
! [SV2517: n > n,SV2516: n > n] :
( ( ( ( c_plus @ ( SV2516 @ c0 ) @ ( SV2517 @ c0 ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV2516
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2516 @ SX0 ) @ ( SV2517 @ SX0 ) ) ) ) )
@ ( SV2517
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2516 @ SX0 ) @ ( SV2517 @ SX0 ) ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2516 @ SX0 ) @ ( SV2517 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2516 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV2517 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2516 @ SX0 ) @ ( SV2517 @ SX0 ) ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(926,plain,
( ( ( sK1_Xx = c0 )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(927,plain,
( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[434:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(928,plain,
! [SV2694: n > n,SV2695: n > n] :
( ( ( c0
= ( SV2695 @ c0 ) )
= $false )
| ( ( c0
= ( SV2694 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2694 @ SX0 ) @ ( SV2695 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV2695
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2694 @ SX0 ) @ ( SV2695 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2694 @ SX0 ) @ ( SV2695 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV2694
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2694 @ SX0 ) @ ( SV2695 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2694 @ c0 ) @ ( SV2695 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2694 @ SX0 ) @ ( SV2695 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(929,plain,
! [SV2695: n > n,SV2694: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV2694 @ c0 ) @ ( SV2695 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2694 @ SX0 ) @ ( SV2695 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV2695
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2694 @ SX0 ) @ ( SV2695 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2694 @ SX0 ) @ ( SV2695 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV2694
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2694 @ SX0 ) @ ( SV2695 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2694 @ c0 ) @ ( SV2695 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2694 @ SX0 ) @ ( SV2695 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(930,plain,
! [SV2694: n > n,SV2695: n > n] :
( ( ( c0
= ( SV2695 @ c0 ) )
= $false )
| ( ( c0
= ( SV2694 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2694 @ SX0 ) @ ( SV2695 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2694 @ SX0 ) @ ( SV2695 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV2694
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2694 @ SX0 ) @ ( SV2695 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
@ ( SV2695
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2694 @ SX0 ) @ ( SV2695 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2694 @ c0 ) @ ( SV2695 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2694 @ SX0 ) @ ( SV2695 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(931,plain,
! [SV2695: n > n,SV2694: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV2694 @ c0 ) @ ( SV2695 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2694 @ SX0 ) @ ( SV2695 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2694 @ SX0 ) @ ( SV2695 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV2694
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2694 @ SX0 ) @ ( SV2695 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
@ ( SV2695
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2694 @ SX0 ) @ ( SV2695 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2694 @ c0 ) @ ( SV2695 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2694 @ SX0 ) @ ( SV2695 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(932,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= $false )
| ( ( c0
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(933,plain,
! [SV2684: n > n,SV2685: n > n] :
( ( ( sK1_Xx
= ( SV2685 @ c0 ) )
= $false )
| ( ( c0
= ( SV2684 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV2685
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2684 @ SX0 ) @ ( SV2685 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2684 @ SX0 ) @ ( SV2685 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
= ( SV2684
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2684 @ SX0 ) @ ( SV2685 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2684 @ c0 ) @ ( SV2685 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2684 @ SX0 ) @ ( SV2685 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(934,plain,
! [SV2685: n > n,SV2684: n > n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV2684 @ c0 ) @ ( SV2685 @ c0 ) ) )
= $false )
| ( ( sK1_Xx
= ( SV2685
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2684 @ SX0 ) @ ( SV2685 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2684 @ SX0 ) @ ( SV2685 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
= ( SV2684
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2684 @ SX0 ) @ ( SV2685 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2684 @ c0 ) @ ( SV2685 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2684 @ SX0 ) @ ( SV2685 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(935,plain,
! [SV2684: n > n,SV2685: n > n] :
( ( ( sK1_Xx
= ( SV2685 @ c0 ) )
= $false )
| ( ( c0
= ( SV2684 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2684 @ SX0 ) @ ( SV2685 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
@ sK1_Xx )
= ( c_plus
@ ( SV2684
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2684 @ SX0 ) @ ( SV2685 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) )
@ ( SV2685
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2684 @ SX0 ) @ ( SV2685 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2684 @ c0 ) @ ( SV2685 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2684 @ SX0 ) @ ( SV2685 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(936,plain,
! [SV2685: n > n,SV2684: n > n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV2684 @ c0 ) @ ( SV2685 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2684 @ SX0 ) @ ( SV2685 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
@ sK1_Xx )
= ( c_plus
@ ( SV2684
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2684 @ SX0 ) @ ( SV2685 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) )
@ ( SV2685
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2684 @ SX0 ) @ ( SV2685 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2684 @ c0 ) @ ( SV2685 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2684 @ SX0 ) @ ( SV2685 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(937,plain,
( ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) )
@ sK1_Xx )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ) ) )
= $false )
| ( ( c0
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ sK1_Xx ) ))]]) ).
thf(938,plain,
! [SV2672: n > n,SV2673: n > n] :
( ( ( c0
= ( SV2673 @ c0 ) )
= $false )
| ( ( c0
= ( SV2672 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2672 @ SX0 ) @ ( SV2673 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
= ( SV2673
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2672 @ SX0 ) @ ( SV2673 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) )
= $false )
| ( ( c0
= ( SV2672
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2672 @ SX0 ) @ ( SV2673 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2672 @ sK1_Xx ) @ ( SV2673 @ sK1_Xx ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2672 @ SX0 ) @ ( SV2673 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(939,plain,
! [SV2673: n > n,SV2672: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV2672 @ c0 ) @ ( SV2673 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2672 @ SX0 ) @ ( SV2673 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) )
= ( SV2673
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2672 @ SX0 ) @ ( SV2673 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) )
= $false )
| ( ( c0
= ( SV2672
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2672 @ SX0 ) @ ( SV2673 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2672 @ sK1_Xx ) @ ( SV2673 @ sK1_Xx ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2672 @ SX0 ) @ ( SV2673 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(940,plain,
! [SV2672: n > n,SV2673: n > n] :
( ( ( c0
= ( SV2673 @ c0 ) )
= $false )
| ( ( c0
= ( SV2672 @ c0 ) )
= $false )
| ( ( ( c_plus @ c0
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2672 @ SX0 ) @ ( SV2673 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV2672
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2672 @ SX0 ) @ ( SV2673 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
@ ( SV2673
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2672 @ SX0 ) @ ( SV2673 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2672 @ sK1_Xx ) @ ( SV2673 @ sK1_Xx ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2672 @ SX0 ) @ ( SV2673 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(941,plain,
! [SV2673: n > n,SV2672: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV2672 @ c0 ) @ ( SV2673 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ c0
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2672 @ SX0 ) @ ( SV2673 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV2672
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2672 @ SX0 ) @ ( SV2673 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
@ ( SV2673
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2672 @ SX0 ) @ ( SV2673 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2672 @ sK1_Xx ) @ ( SV2673 @ sK1_Xx ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2672 @ SX0 ) @ ( SV2673 @ SX0 ) ) )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(942,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ c0
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ) ) )
= $false )
| ( ( sK1_Xx
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ SX0 ) ))]]) ).
thf(943,plain,
! [SV1075: n,SV2662: n > n,SV2663: n > n] :
( ( ( sK1_Xx
= ( SV2663 @ c0 ) )
= $false )
| ( ( c0
= ( SV2662 @ c0 ) )
= $false )
| ( ( sK1_Xx
= ( SV2663
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2662 @ SX0 ) @ ( SV2663 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( c0
= ( SV2662
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2662 @ SX0 ) @ ( SV2663 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2662 @ SV1075 ) @ ( SV2663 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2662 @ SX0 ) @ ( SV2663 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(944,plain,
! [SV1075: n,SV2663: n > n,SV2662: n > n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV2662 @ c0 ) @ ( SV2663 @ c0 ) ) )
= $false )
| ( ( sK1_Xx
= ( SV2663
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2662 @ SX0 ) @ ( SV2663 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( c0
= ( SV2662
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2662 @ SX0 ) @ ( SV2663 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2662 @ SV1075 ) @ ( SV2663 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2662 @ SX0 ) @ ( SV2663 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(945,plain,
! [SV1075: n,SV2662: n > n,SV2663: n > n] :
( ( ( sK1_Xx
= ( SV2663 @ c0 ) )
= $false )
| ( ( c0
= ( SV2662 @ c0 ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus
@ ( SV2662
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2662 @ SX0 ) @ ( SV2663 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) )
@ ( SV2663
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2662 @ SX0 ) @ ( SV2663 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2662 @ SV1075 ) @ ( SV2663 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2662 @ SX0 ) @ ( SV2663 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(946,plain,
! [SV1075: n,SV2663: n > n,SV2662: n > n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( SV2662 @ c0 ) @ ( SV2663 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus
@ ( SV2662
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2662 @ SX0 ) @ ( SV2663 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) )
@ ( SV2663
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2662 @ SX0 ) @ ( SV2663 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2662 @ SV1075 ) @ ( SV2663 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2662 @ SX0 ) @ ( SV2663 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(947,plain,
( ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ c0 @ sK1_Xx ) ))]]) ).
thf(948,plain,
! [SV2645: n > n,SV2644: n > n] :
( ( ( ( c_plus @ ( SV2644 @ c0 ) @ ( SV2645 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV2644
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) )
@ ( SV2645
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) ) )
= $false )
| ( ( sK1_Xx = c0 )
= $false )
| ( ( ( c_plus @ ( SV2644 @ sK1_Xx ) @ ( SV2645 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1075,$thf( sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ))]]) ).
thf(949,plain,
! [SV2645: n > n,SV2644: n > n] :
( ( ( ( c_plus @ ( SV2644 @ c0 ) @ ( SV2645 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV2644
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) )
@ ( SV2645
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) )
@ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2644 @ sK1_Xx ) @ ( SV2645 @ sK1_Xx ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1075,$thf( sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ))]]) ).
thf(950,plain,
! [SV2645: n > n,SV2644: n > n] :
( ( ( ( c_plus @ ( SV2644 @ c0 ) @ ( SV2645 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV2644
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) )
@ ( SV2645
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) ) )
= ( c_plus @ sK1_Xx
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2644 @ c0 ) @ ( SV2645 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ))]]) ).
thf(951,plain,
! [SV1075: n,SV2645: n > n,SV2644: n > n] :
( ( ( ( c_plus @ ( SV2644 @ c0 ) @ ( SV2645 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV2644
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) )
@ ( SV2645
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2644 @ SV1075 ) @ ( SV2645 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ))]]) ).
thf(952,plain,
! [SV1075: n,SV2704: n > n,SV2644: n > n,SV2705: n > n,SV2645: n > n] :
( ( ( ( c_plus @ ( SV2704 @ SV1075 ) @ ( SV2705 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2644 @ SV1075 ) @ ( SV2645 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( SV2645 @ c0 )
= ( SV2705 @ c0 ) )
= $false )
| ( ( ( SV2644 @ c0 )
= ( SV2704 @ c0 ) )
= $false )
| ( ( ( SV2645
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2704 @ SX0 ) @ ( SV2705 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) )
= ( SV2705
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2704 @ SX0 ) @ ( SV2705 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV2644
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2704 @ SX0 ) @ ( SV2705 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) )
= ( SV2704
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2704 @ SX0 ) @ ( SV2705 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2704 @ SX0 ) @ ( SV2705 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ))]]) ).
thf(953,plain,
! [SV1075: n,SV2644: n > n,SV2705: n > n,SV2704: n > n,SV2645: n > n] :
( ( ( ( c_plus @ ( SV2644 @ c0 ) @ ( SV2645 @ c0 ) )
= ( c_plus @ ( SV2704 @ c0 ) @ ( SV2705 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( SV2704 @ SV1075 ) @ ( SV2705 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2644 @ SV1075 ) @ ( SV2645 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( SV2645
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2704 @ SX0 ) @ ( SV2705 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) )
= ( SV2705
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2704 @ SX0 ) @ ( SV2705 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV2644
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2704 @ SX0 ) @ ( SV2705 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) )
= ( SV2704
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2704 @ SX0 ) @ ( SV2705 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2704 @ SX0 ) @ ( SV2705 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ))]]) ).
thf(954,plain,
! [SV1075: n,SV2704: n > n,SV2644: n > n,SV2705: n > n,SV2645: n > n] :
( ( ( ( c_plus
@ ( SV2644
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2704 @ SX0 ) @ ( SV2705 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) )
@ ( SV2645
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2704 @ SX0 ) @ ( SV2705 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV2704
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2704 @ SX0 ) @ ( SV2705 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) )
@ ( SV2705
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2704 @ SX0 ) @ ( SV2705 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2704 @ SV1075 ) @ ( SV2705 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2644 @ SV1075 ) @ ( SV2645 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( SV2645 @ c0 )
= ( SV2705 @ c0 ) )
= $false )
| ( ( ( SV2644 @ c0 )
= ( SV2704 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2704 @ SX0 ) @ ( SV2705 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ))]]) ).
thf(955,plain,
! [SV1075: n,SV2705: n > n,SV2704: n > n,SV2645: n > n,SV2644: n > n] :
( ( ( ( c_plus @ ( SV2644 @ c0 ) @ ( SV2645 @ c0 ) )
= ( c_plus @ ( SV2704 @ c0 ) @ ( SV2705 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( SV2644
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2704 @ SX0 ) @ ( SV2705 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) )
@ ( SV2645
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2704 @ SX0 ) @ ( SV2705 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV2704
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2704 @ SX0 ) @ ( SV2705 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) )
@ ( SV2705
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2704 @ SX0 ) @ ( SV2705 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2704 @ SV1075 ) @ ( SV2705 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2644 @ SV1075 ) @ ( SV2645 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2704 @ SX0 ) @ ( SV2705 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ))]]) ).
thf(956,plain,
! [SV2645: n > n,SV2644: n > n] :
( ( ( ( c_plus @ ( SV2644 @ c0 ) @ ( SV2645 @ c0 ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV2644
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) )
@ ( SV2645
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2644 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV2645 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2644 @ SX0 ) @ ( SV2645 @ SX0 ) ) ))]]) ).
thf(957,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(958,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
@ c0 ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(959,plain,
( ( ( c0
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus @ sK1_Xx
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ SX0 ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(960,plain,
( ( ( c0
= ( c_plus @ sK1_Xx @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ sK1_Xx @ c0 ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(961,plain,
! [SV2649: n > n,SV2648: n > n] :
( ( ( c0
= ( c_plus @ ( SV2648 @ c0 ) @ ( SV2649 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2648 @ SX0 ) @ ( SV2649 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( SV2648
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2648 @ SX0 ) @ ( SV2649 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV2649
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2648 @ SX0 ) @ ( SV2649 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2648 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV2649 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2648 @ SX0 ) @ ( SV2649 @ SX0 ) ) )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(962,plain,
( ( ( sK1_Xx = c0 )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(963,plain,
( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[434:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(964,plain,
! [SV2809: n > n,SV2808: n > n,SV2965: n > n,SV2964: n > n] :
( ( ( ( c_plus @ ( SV2964 @ c0 ) @ ( SV2965 @ c0 ) )
= ( c_plus @ ( c_plus @ ( SV2808 @ c0 ) @ ( SV2809 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV2964
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2808 @ SX0 ) @ ( SV2809 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2964 @ SX0 ) @ ( SV2965 @ SX0 ) ) ) ) )
@ ( SV2965
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2808 @ SX0 ) @ ( SV2809 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2964 @ SX0 ) @ ( SV2965 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( c_plus
@ ( SV2808
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2808 @ SX0 ) @ ( SV2809 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2964 @ SX0 ) @ ( SV2965 @ SX0 ) ) ) ) )
@ ( SV2809
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2808 @ SX0 ) @ ( SV2809 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2964 @ SX0 ) @ ( SV2965 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2808 @ SX0 ) @ ( SV2809 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2964 @ SX0 ) @ ( SV2965 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2964 @ c0 ) @ ( SV2965 @ c0 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2808 @ c0 ) @ ( SV2809 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2964 @ SX0 ) @ ( SV2965 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2808 @ SX0 ) @ ( SV2809 @ SX0 ) ) @ SX0 ) ))]]) ).
thf(965,plain,
! [SV2809: n > n,SV2808: n > n] :
( ( ( c0
= ( c_plus @ ( c_plus @ ( SV2808 @ c0 ) @ ( SV2809 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2808 @ SX0 ) @ ( SV2809 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( c_plus
@ ( SV2808
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2808 @ SX0 ) @ ( SV2809 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV2809
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2808 @ SX0 ) @ ( SV2809 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2808 @ SX0 ) @ ( SV2809 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( c0
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2808 @ c0 ) @ ( SV2809 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2808 @ SX0 ) @ ( SV2809 @ SX0 ) ) @ SX0 ) ))]]) ).
thf(966,plain,
! [SV1075: n,SV2809: n > n,SV2808: n > n,SV2931: n > n,SV2930: n > n] :
( ( ( ( c_plus @ ( SV2930 @ c0 ) @ ( SV2931 @ c0 ) )
= ( c_plus @ ( c_plus @ ( SV2808 @ c0 ) @ ( SV2809 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV2930
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2808 @ SX0 ) @ ( SV2809 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2930 @ SX0 ) @ ( SV2931 @ SX0 ) ) ) ) )
@ ( SV2931
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2808 @ SX0 ) @ ( SV2809 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2930 @ SX0 ) @ ( SV2931 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( c_plus
@ ( SV2808
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2808 @ SX0 ) @ ( SV2809 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2930 @ SX0 ) @ ( SV2931 @ SX0 ) ) ) ) )
@ ( SV2809
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2808 @ SX0 ) @ ( SV2809 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2930 @ SX0 ) @ ( SV2931 @ SX0 ) ) ) ) ) )
@ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2930 @ SV1075 ) @ ( SV2931 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2808 @ SV1075 ) @ ( SV2809 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2930 @ SX0 ) @ ( SV2931 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2808 @ SX0 ) @ ( SV2809 @ SX0 ) ) @ c0 ) ))]]) ).
thf(967,plain,
! [SV2809: n > n,SV2808: n > n] :
( ( ( c0
= ( c_plus @ ( c_plus @ ( SV2808 @ c0 ) @ ( SV2809 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2808 @ SX0 ) @ ( SV2809 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( c_plus
@ ( SV2808
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2808 @ SX0 ) @ ( SV2809 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV2809
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2808 @ SX0 ) @ ( SV2809 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : SX0 ) ) ) )
@ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2808 @ ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) ) @ ( SV2809 @ ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1075,$thf( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2808 @ SX0 ) @ ( SV2809 @ SX0 ) ) @ c0 ) ))]]) ).
thf(968,plain,
! [SV2848: n > n,SV2847: n > n] :
( ( ( ( c_plus @ ( SV2847 @ c0 ) @ ( SV2848 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV2847
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2847 @ SX0 ) @ ( SV2848 @ SX0 ) ) ) ) )
@ ( SV2848
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2847 @ SX0 ) @ ( SV2848 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2847 @ SX0 ) @ ( SV2848 @ SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2847 @ SX0 ) @ ( SV2848 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2847 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV2848 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2847 @ SX0 ) @ ( SV2848 @ SX0 ) ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(969,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( sK1_Xx
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(970,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(971,plain,
! [SV2815: n > n,SV2814: n > n] :
( ( ( ( c_plus @ ( SV2814 @ c0 ) @ ( SV2815 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV2814
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2814 @ SX0 ) @ ( SV2815 @ SX0 ) ) ) ) )
@ ( SV2815
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2814 @ SX0 ) @ ( SV2815 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV2814 @ SX0 ) @ ( SV2815 @ SX0 ) ) ) )
@ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2814 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV2815 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2814 @ SX0 ) @ ( SV2815 @ SX0 ) ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(972,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
@ c0 ) )
= $false )
| ( ( sK1_Xx
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(973,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
@ c0 ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(974,plain,
! [SV2776: n > n,SV3006: n > n,SV3005: n > n,SV2777: n > n] :
( ( ( c0
= ( SV2777 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3005 @ c0 ) @ ( SV3006 @ c0 ) )
= ( SV2776 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) ) )
= ( SV2777
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus
@ ( SV3005
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV3006
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) ) ) ) )
= ( SV2776
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3005 @ c0 ) @ ( SV3006 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV2776 @ c0 ) @ ( SV2777 @ c0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) ) ))]]) ).
thf(975,plain,
! [SV2777: n > n,SV2776: n > n,SV3006: n > n,SV3005: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV3005 @ c0 ) @ ( SV3006 @ c0 ) ) @ c0 )
= ( c_plus @ ( SV2776 @ c0 ) @ ( SV2777 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) ) )
= ( SV2777
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus
@ ( SV3005
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV3006
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) ) ) ) )
= ( SV2776
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3005 @ c0 ) @ ( SV3006 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV2776 @ c0 ) @ ( SV2777 @ c0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) ) ))]]) ).
thf(976,plain,
! [SV2776: n > n,SV3006: n > n,SV3005: n > n,SV2777: n > n] :
( ( ( c0
= ( SV2777 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3005 @ c0 ) @ ( SV3006 @ c0 ) )
= ( SV2776 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV3005
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV3006
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) ) ) )
= ( c_plus
@ ( SV2776
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV2777
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3005 @ c0 ) @ ( SV3006 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV2776 @ c0 ) @ ( SV2777 @ c0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) ) ))]]) ).
thf(977,plain,
! [SV2777: n > n,SV2776: n > n,SV3006: n > n,SV3005: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV3005 @ c0 ) @ ( SV3006 @ c0 ) ) @ c0 )
= ( c_plus @ ( SV2776 @ c0 ) @ ( SV2777 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV3005
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV3006
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) ) ) )
= ( c_plus
@ ( SV2776
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV2777
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3005 @ c0 ) @ ( SV3006 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV2776 @ c0 ) @ ( SV2777 @ c0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) ) ))]]) ).
thf(978,plain,
! [SV1075: n,SV2776: n > n,SV3006: n > n,SV3005: n > n,SV2777: n > n] :
( ( ( c0
= ( SV2777 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3005 @ c0 ) @ ( SV3006 @ c0 ) )
= ( SV2776 @ c0 ) )
= $false )
| ( ( c0
= ( SV2777
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus
@ ( SV3005
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV3006
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ c0 ) ) ) ) )
= ( SV2776
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3005 @ SV1075 ) @ ( SV3006 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV2776 @ SV1075 ) @ ( SV2777 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) ) ))]]) ).
thf(979,plain,
! [SV1075: n,SV2777: n > n,SV2776: n > n,SV3006: n > n,SV3005: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV3005 @ c0 ) @ ( SV3006 @ c0 ) ) @ c0 )
= ( c_plus @ ( SV2776 @ c0 ) @ ( SV2777 @ c0 ) ) )
= $false )
| ( ( c0
= ( SV2777
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus
@ ( SV3005
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV3006
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ c0 ) ) ) ) )
= ( SV2776
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3005 @ SV1075 ) @ ( SV3006 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV2776 @ SV1075 ) @ ( SV2777 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) ) ))]]) ).
thf(980,plain,
! [SV1075: n,SV2776: n > n,SV3006: n > n,SV3005: n > n,SV2777: n > n] :
( ( ( c0
= ( SV2777 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3005 @ c0 ) @ ( SV3006 @ c0 ) )
= ( SV2776 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV3005
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV3006
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ c0 ) ) ) ) )
@ c0 )
= ( c_plus
@ ( SV2776
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV2777
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3005 @ SV1075 ) @ ( SV3006 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV2776 @ SV1075 ) @ ( SV2777 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) ) ))]]) ).
thf(981,plain,
! [SV1075: n,SV2777: n > n,SV2776: n > n,SV3006: n > n,SV3005: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV3005 @ c0 ) @ ( SV3006 @ c0 ) ) @ c0 )
= ( c_plus @ ( SV2776 @ c0 ) @ ( SV2777 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV3005
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV3006
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ c0 ) ) ) ) )
@ c0 )
= ( c_plus
@ ( SV2776
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV2777
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3005 @ SV1075 ) @ ( SV3006 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV2776 @ SV1075 ) @ ( SV2777 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3005 @ SX0 ) @ ( SV3006 @ SX0 ) ) @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) ) ))]]) ).
thf(982,plain,
! [SV2776: n > n,SV2777: n > n] :
( ( ( c0
= ( SV2777 @ c0 ) )
= $false )
| ( ( c0
= ( SV2776 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV2777
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV2776
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV2776 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV2777 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) ) ))]]) ).
thf(983,plain,
! [SV2777: n > n,SV2776: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV2776 @ c0 ) @ ( SV2777 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV2777
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV2776
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV2776 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV2777 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) ) ))]]) ).
thf(984,plain,
! [SV2776: n > n,SV2777: n > n] :
( ( ( c0
= ( SV2777 @ c0 ) )
= $false )
| ( ( c0
= ( SV2776 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV2776
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
@ ( SV2777
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV2776 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV2777 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) ) ))]]) ).
thf(985,plain,
! [SV2777: n > n,SV2776: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV2776 @ c0 ) @ ( SV2777 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV2776
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
@ ( SV2777
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV2776 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV2777 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) ) ))]]) ).
thf(986,plain,
! [SV2776: n > n,SV2777: n > n] :
( ( ( c0
= ( SV2777 @ c0 ) )
= $false )
| ( ( c0
= ( SV2776 @ c0 ) )
= $false )
| ( ( c0
= ( SV2777
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
= ( SV2776
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2776 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV2777 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) ) ))]]) ).
thf(987,plain,
! [SV2777: n > n,SV2776: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV2776 @ c0 ) @ ( SV2777 @ c0 ) ) )
= $false )
| ( ( c0
= ( SV2777
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
= ( SV2776
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2776 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV2777 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) ) ))]]) ).
thf(988,plain,
! [SV2776: n > n,SV2777: n > n] :
( ( ( c0
= ( SV2777 @ c0 ) )
= $false )
| ( ( c0
= ( SV2776 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( c_plus
@ ( SV2776
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
@ ( SV2777
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2776 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV2777 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) ) ))]]) ).
thf(989,plain,
! [SV2777: n > n,SV2776: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV2776 @ c0 ) @ ( SV2777 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( c_plus
@ ( SV2776
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
@ ( SV2777
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2776 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV2777 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) ) ))]]) ).
thf(990,plain,
! [SV1075: n,SV2776: n > n,SV3001: n > n,SV2777: n > n,SV3002: n > n] :
( ( ( ( c_plus @ ( SV3001 @ SV1075 ) @ ( SV3002 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2776 @ SV1075 ) @ ( SV2777 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( SV3002 @ c0 )
= ( SV2777 @ c0 ) )
= $false )
| ( ( ( SV3001 @ c0 )
= ( SV2776 @ c0 ) )
= $false )
| ( ( ( SV3002
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3001 @ SX0 ) @ ( SV3002 @ SX0 ) ) ) ) )
= ( SV2777
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3001 @ SX0 ) @ ( SV3002 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV3001
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3001 @ SX0 ) @ ( SV3002 @ SX0 ) ) ) ) )
= ( SV2776
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3001 @ SX0 ) @ ( SV3002 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV3001 @ SX0 ) @ ( SV3002 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) ) ))]]) ).
thf(991,plain,
! [SV1075: n,SV3001: n > n,SV2777: n > n,SV2776: n > n,SV3002: n > n] :
( ( ( ( c_plus @ ( SV3001 @ c0 ) @ ( SV3002 @ c0 ) )
= ( c_plus @ ( SV2776 @ c0 ) @ ( SV2777 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( SV3001 @ SV1075 ) @ ( SV3002 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2776 @ SV1075 ) @ ( SV2777 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( SV3002
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3001 @ SX0 ) @ ( SV3002 @ SX0 ) ) ) ) )
= ( SV2777
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3001 @ SX0 ) @ ( SV3002 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV3001
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3001 @ SX0 ) @ ( SV3002 @ SX0 ) ) ) ) )
= ( SV2776
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3001 @ SX0 ) @ ( SV3002 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV3001 @ SX0 ) @ ( SV3002 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) ) ))]]) ).
thf(992,plain,
! [SV1075: n,SV2776: n > n,SV3001: n > n,SV2777: n > n,SV3002: n > n] :
( ( ( ( c_plus
@ ( SV3001
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3001 @ SX0 ) @ ( SV3002 @ SX0 ) ) ) ) )
@ ( SV3002
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3001 @ SX0 ) @ ( SV3002 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV2776
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3001 @ SX0 ) @ ( SV3002 @ SX0 ) ) ) ) )
@ ( SV2777
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3001 @ SX0 ) @ ( SV3002 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3001 @ SV1075 ) @ ( SV3002 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2776 @ SV1075 ) @ ( SV2777 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( SV3002 @ c0 )
= ( SV2777 @ c0 ) )
= $false )
| ( ( ( SV3001 @ c0 )
= ( SV2776 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV3001 @ SX0 ) @ ( SV3002 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) ) ))]]) ).
thf(993,plain,
! [SV1075: n,SV2777: n > n,SV2776: n > n,SV3002: n > n,SV3001: n > n] :
( ( ( ( c_plus @ ( SV3001 @ c0 ) @ ( SV3002 @ c0 ) )
= ( c_plus @ ( SV2776 @ c0 ) @ ( SV2777 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( SV3001
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3001 @ SX0 ) @ ( SV3002 @ SX0 ) ) ) ) )
@ ( SV3002
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3001 @ SX0 ) @ ( SV3002 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV2776
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3001 @ SX0 ) @ ( SV3002 @ SX0 ) ) ) ) )
@ ( SV2777
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3001 @ SX0 ) @ ( SV3002 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3001 @ SV1075 ) @ ( SV3002 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV2776 @ SV1075 ) @ ( SV2777 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV3001 @ SX0 ) @ ( SV3002 @ SX0 ) ) )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) ) ))]]) ).
thf(994,plain,
! [SV2777: n > n,SV2776: n > n] :
( ( ( c0
= ( c_plus @ ( SV2776 @ c0 ) @ ( SV2777 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( SV2776
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV2777
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2776 @ ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) ) @ ( SV2777 @ ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1075,$thf( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV2776 @ SX0 ) @ ( SV2777 @ SX0 ) ) ))]]) ).
thf(995,plain,
! [SV2785: n > n,SV2784: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV2784 @ c0 ) @ ( SV2785 @ c0 ) ) @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV2784
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2784 @ SX0 ) @ ( SV2785 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV2785
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2784 @ SX0 ) @ ( SV2785 @ SX0 ) ) @ SX0 ) ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2784 @ SX0 ) @ ( SV2785 @ SX0 ) ) @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2784 @ SX0 ) @ ( SV2785 @ SX0 ) ) @ SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV2784 @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) @ ( SV2785 @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2784 @ SX0 ) @ ( SV2785 @ SX0 ) ) @ SX0 ) )),bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(996,plain,
! [SV2785: n > n,SV2784: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV2784 @ c0 ) @ ( SV2785 @ c0 ) ) @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV2784
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2784 @ SX0 ) @ ( SV2785 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV2785
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2784 @ SX0 ) @ ( SV2785 @ SX0 ) ) @ c0 ) ) ) ) )
@ c0 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2784 @ SX0 ) @ ( SV2785 @ SX0 ) ) @ c0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2784 @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) @ ( SV2785 @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV2784 @ SX0 ) @ ( SV2785 @ SX0 ) ) @ c0 ) )),bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(997,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= c0 )
= $false )
| ( ( c0 = sK1_Xx )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(998,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(999,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(1000,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(1001,plain,
! [SV2781: n > n,SV2780: n > n] :
( ( ( ( c_plus @ ( SV2780 @ c0 ) @ ( SV2781 @ c0 ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV2780
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2780 @ SX0 ) @ ( SV2781 @ SX0 ) ) ) ) )
@ ( SV2781
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2780 @ SX0 ) @ ( SV2781 @ SX0 ) ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV2780 @ SX0 ) @ ( SV2781 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV2780 @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) @ ( SV2781 @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV2780 @ SX0 ) @ ( SV2781 @ SX0 ) ) )),bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(1002,plain,
( ( ( c0 = sK1_Xx )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(1003,plain,
( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(1004,plain,
( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[433:[bind(SV1076,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(1005,plain,
! [SV3159: n > n,SV3060: n > n,SV3059: n > n,SV3160: n > n] :
( ( ( c0
= ( SV3160 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3059 @ c0 ) @ ( SV3060 @ c0 ) )
= ( SV3159 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) )
= ( SV3160
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus
@ ( SV3059
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV3060
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) ) )
= ( SV3159
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3159 @ c0 ) @ ( SV3160 @ c0 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3059 @ c0 ) @ ( SV3060 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ))]]) ).
thf(1006,plain,
! [SV3160: n > n,SV3159: n > n,SV3060: n > n,SV3059: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV3059 @ c0 ) @ ( SV3060 @ c0 ) ) @ c0 )
= ( c_plus @ ( SV3159 @ c0 ) @ ( SV3160 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) )
= ( SV3160
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus
@ ( SV3059
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV3060
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) ) )
= ( SV3159
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3159 @ c0 ) @ ( SV3160 @ c0 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3059 @ c0 ) @ ( SV3060 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ))]]) ).
thf(1007,plain,
! [SV3159: n > n,SV3060: n > n,SV3059: n > n,SV3160: n > n] :
( ( ( c0
= ( SV3160 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3059 @ c0 ) @ ( SV3060 @ c0 ) )
= ( SV3159 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV3059
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV3060
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) )
= ( c_plus
@ ( SV3159
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV3160
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3159 @ c0 ) @ ( SV3160 @ c0 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3059 @ c0 ) @ ( SV3060 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ))]]) ).
thf(1008,plain,
! [SV3160: n > n,SV3159: n > n,SV3060: n > n,SV3059: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV3059 @ c0 ) @ ( SV3060 @ c0 ) ) @ c0 )
= ( c_plus @ ( SV3159 @ c0 ) @ ( SV3160 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV3059
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV3060
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) )
= ( c_plus
@ ( SV3159
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV3160
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3159 @ c0 ) @ ( SV3160 @ c0 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3059 @ c0 ) @ ( SV3060 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV3159 @ SX0 ) @ ( SV3160 @ SX0 ) ) )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ))]]) ).
thf(1009,plain,
! [SV3060: n > n,SV3059: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV3059 @ c0 ) @ ( SV3060 @ c0 ) ) @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV3059
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) )
@ ( SV3060
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ) ) )
= $false )
| ( ( c0
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3059 @ c0 ) @ ( SV3060 @ c0 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ SX0 ) ))]]) ).
thf(1010,plain,
! [SV1075: n,SV3145: n > n,SV3060: n > n,SV3059: n > n,SV3146: n > n] :
( ( ( c0
= ( SV3146 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3059 @ c0 ) @ ( SV3060 @ c0 ) )
= ( SV3145 @ c0 ) )
= $false )
| ( ( c0
= ( SV3146
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3145 @ SX0 ) @ ( SV3146 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus
@ ( SV3059
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3145 @ SX0 ) @ ( SV3146 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV3060
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3145 @ SX0 ) @ ( SV3146 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ) ) ) )
= ( SV3145
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3145 @ SX0 ) @ ( SV3146 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3145 @ SV1075 ) @ ( SV3146 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3059 @ SV1075 ) @ ( SV3060 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV3145 @ SX0 ) @ ( SV3146 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ))]]) ).
thf(1011,plain,
! [SV1075: n,SV3146: n > n,SV3145: n > n,SV3060: n > n,SV3059: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV3059 @ c0 ) @ ( SV3060 @ c0 ) ) @ c0 )
= ( c_plus @ ( SV3145 @ c0 ) @ ( SV3146 @ c0 ) ) )
= $false )
| ( ( c0
= ( SV3146
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3145 @ SX0 ) @ ( SV3146 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus
@ ( SV3059
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3145 @ SX0 ) @ ( SV3146 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV3060
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3145 @ SX0 ) @ ( SV3146 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ) ) ) )
= ( SV3145
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3145 @ SX0 ) @ ( SV3146 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3145 @ SV1075 ) @ ( SV3146 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3059 @ SV1075 ) @ ( SV3060 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV3145 @ SX0 ) @ ( SV3146 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ))]]) ).
thf(1012,plain,
! [SV1075: n,SV3145: n > n,SV3060: n > n,SV3059: n > n,SV3146: n > n] :
( ( ( c0
= ( SV3146 @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3059 @ c0 ) @ ( SV3060 @ c0 ) )
= ( SV3145 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV3059
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3145 @ SX0 ) @ ( SV3146 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV3060
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3145 @ SX0 ) @ ( SV3146 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ) ) ) )
@ c0 )
= ( c_plus
@ ( SV3145
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3145 @ SX0 ) @ ( SV3146 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV3146
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3145 @ SX0 ) @ ( SV3146 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3145 @ SV1075 ) @ ( SV3146 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3059 @ SV1075 ) @ ( SV3060 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV3145 @ SX0 ) @ ( SV3146 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ))]]) ).
thf(1013,plain,
! [SV1075: n,SV3146: n > n,SV3145: n > n,SV3060: n > n,SV3059: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV3059 @ c0 ) @ ( SV3060 @ c0 ) ) @ c0 )
= ( c_plus @ ( SV3145 @ c0 ) @ ( SV3146 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV3059
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3145 @ SX0 ) @ ( SV3146 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV3060
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3145 @ SX0 ) @ ( SV3146 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ) ) ) )
@ c0 )
= ( c_plus
@ ( SV3145
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3145 @ SX0 ) @ ( SV3146 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV3146
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3145 @ SX0 ) @ ( SV3146 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3145 @ SV1075 ) @ ( SV3146 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3059 @ SV1075 ) @ ( SV3060 @ SV1075 ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV3145 @ SX0 ) @ ( SV3146 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ))]]) ).
thf(1014,plain,
! [SV3060: n > n,SV3059: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( SV3059 @ c0 ) @ ( SV3060 @ c0 ) ) @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( c_plus
@ ( SV3059
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ) ) )
@ ( SV3060
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ) ) ) )
@ c0 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3059 @ ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) ) @ ( SV3060 @ ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) ) )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1075,$thf( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3059 @ SX0 ) @ ( SV3060 @ SX0 ) ) @ c0 ) ))]]) ).
thf(1015,plain,
! [SV3081: n > n,SV3082: n > n] :
( ( ( c0
= ( SV3082 @ c0 ) )
= $false )
| ( ( c0
= ( SV3081 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3081 @ SX0 ) @ ( SV3082 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV3082
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3081 @ SX0 ) @ ( SV3082 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3081 @ SX0 ) @ ( SV3082 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV3081
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3081 @ SX0 ) @ ( SV3082 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3081 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV3082 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV3081 @ SX0 ) @ ( SV3082 @ SX0 ) ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(1016,plain,
! [SV3082: n > n,SV3081: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV3081 @ c0 ) @ ( SV3082 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3081 @ SX0 ) @ ( SV3082 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV3082
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3081 @ SX0 ) @ ( SV3082 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3081 @ SX0 ) @ ( SV3082 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
= ( SV3081
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3081 @ SX0 ) @ ( SV3082 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3081 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV3082 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV3081 @ SX0 ) @ ( SV3082 @ SX0 ) ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(1017,plain,
! [SV3081: n > n,SV3082: n > n] :
( ( ( c0
= ( SV3082 @ c0 ) )
= $false )
| ( ( c0
= ( SV3081 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3081 @ SX0 ) @ ( SV3082 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3081 @ SX0 ) @ ( SV3082 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV3081
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3081 @ SX0 ) @ ( SV3082 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
@ ( SV3082
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3081 @ SX0 ) @ ( SV3082 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3081 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV3082 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV3081 @ SX0 ) @ ( SV3082 @ SX0 ) ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(1018,plain,
! [SV3082: n > n,SV3081: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV3081 @ c0 ) @ ( SV3082 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3081 @ SX0 ) @ ( SV3082 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3081 @ SX0 ) @ ( SV3082 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( c_plus
@ ( SV3081
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3081 @ SX0 ) @ ( SV3082 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
@ ( SV3082
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3081 @ SX0 ) @ ( SV3082 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3081 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV3082 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV3081 @ SX0 ) @ ( SV3082 @ SX0 ) ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(1019,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= $false )
| ( ( sK1_Xx
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(1020,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ))]]) ).
thf(1021,plain,
! [SV3065: n > n,SV3066: n > n] :
( ( ( c0
= ( SV3066 @ c0 ) )
= $false )
| ( ( c0
= ( SV3065 @ c0 ) )
= $false )
| ( ( c0
= ( SV3066
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3065 @ SX0 ) @ ( SV3066 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3065 @ SX0 ) @ ( SV3066 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
= ( SV3065
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3065 @ SX0 ) @ ( SV3066 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3065 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV3066 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV3065 @ SX0 ) @ ( SV3066 @ SX0 ) ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(1022,plain,
! [SV3066: n > n,SV3065: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV3065 @ c0 ) @ ( SV3066 @ c0 ) ) )
= $false )
| ( ( c0
= ( SV3066
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3065 @ SX0 ) @ ( SV3066 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3065 @ SX0 ) @ ( SV3066 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
= ( SV3065
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3065 @ SX0 ) @ ( SV3066 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3065 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV3066 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV3065 @ SX0 ) @ ( SV3066 @ SX0 ) ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(1023,plain,
! [SV3065: n > n,SV3066: n > n] :
( ( ( c0
= ( SV3066 @ c0 ) )
= $false )
| ( ( c0
= ( SV3065 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3065 @ SX0 ) @ ( SV3066 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( c_plus
@ ( SV3065
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3065 @ SX0 ) @ ( SV3066 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
@ ( SV3066
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3065 @ SX0 ) @ ( SV3066 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3065 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV3066 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV3065 @ SX0 ) @ ( SV3066 @ SX0 ) ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(1024,plain,
! [SV3066: n > n,SV3065: n > n] :
( ( ( ( c_plus @ c0 @ c0 )
= ( c_plus @ ( SV3065 @ c0 ) @ ( SV3066 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3065 @ SX0 ) @ ( SV3066 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( c_plus
@ ( SV3065
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3065 @ SX0 ) @ ( SV3066 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
@ ( SV3066
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3065 @ SX0 ) @ ( SV3066 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3065 @ ( c_plus @ sK1_Xx @ c0 ) ) @ ( SV3066 @ ( c_plus @ sK1_Xx @ c0 ) ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV3065 @ SX0 ) @ ( SV3066 @ SX0 ) ) )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(1025,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
= $false )
| ( ( sK1_Xx
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(1026,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) )
@ c0 )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ) ) )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ sK1_Xx @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) ))]]) ).
thf(1027,plain,
! [SV3178: n > n,SV3177: n > n,SV3028: n > n,SV3027: n > n] :
( ( ( ( c_plus @ ( SV3027 @ c0 ) @ ( SV3028 @ c0 ) )
= ( c_plus @ ( c_plus @ ( SV3177 @ c0 ) @ ( SV3178 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV3027
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3177 @ SX0 ) @ ( SV3178 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) )
@ ( SV3028
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3177 @ SX0 ) @ ( SV3178 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( c_plus
@ ( SV3177
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3177 @ SX0 ) @ ( SV3178 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) )
@ ( SV3178
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3177 @ SX0 ) @ ( SV3178 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3177 @ SX0 ) @ ( SV3178 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3177 @ c0 ) @ ( SV3178 @ c0 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV3027 @ c0 ) @ ( SV3028 @ c0 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1075,$thf( c0 )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3177 @ SX0 ) @ ( SV3178 @ SX0 ) ) @ SX0 ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ))]]) ).
thf(1028,plain,
! [SV1075: n,SV3178: n > n,SV3177: n > n,SV3028: n > n,SV3027: n > n] :
( ( ( ( c_plus @ ( SV3027 @ c0 ) @ ( SV3028 @ c0 ) )
= ( c_plus @ ( c_plus @ ( SV3177 @ c0 ) @ ( SV3178 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV3027
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3177 @ SX0 ) @ ( SV3178 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) )
@ ( SV3028
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3177 @ SX0 ) @ ( SV3178 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( c_plus
@ ( SV3177
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3177 @ SX0 ) @ ( SV3178 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) )
@ ( SV3178
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3177 @ SX0 ) @ ( SV3178 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) ) )
@ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3177 @ SV1075 ) @ ( SV3178 @ SV1075 ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false )
| ( ( ( c_plus @ ( SV3027 @ SV1075 ) @ ( SV3028 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3177 @ SX0 ) @ ( SV3178 @ SX0 ) ) @ c0 ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ))]]) ).
thf(1029,plain,
! [SV3028: n > n,SV3027: n > n] :
( ( ( ( c_plus @ ( SV3027 @ c0 ) @ ( SV3028 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV3027
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) )
@ ( SV3028
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV3027 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV3028 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ))]]) ).
thf(1030,plain,
! [SV3028: n > n,SV3027: n > n] :
( ( ( ( c_plus @ ( SV3027 @ c0 ) @ ( SV3028 @ c0 ) )
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( c_plus
@ ( SV3027
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) )
@ ( SV3028
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) )
@ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3027 @ ( c_plus @ c0 @ sK1_Xx ) ) @ ( SV3028 @ ( c_plus @ c0 @ sK1_Xx ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1075,$thf( c_plus @ c0 @ sK1_Xx )),bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ))]]) ).
thf(1031,plain,
! [SV1075: n,SV3173: n > n,SV3027: n > n,SV3174: n > n,SV3028: n > n] :
( ( ( ( c_plus @ ( SV3173 @ SV1075 ) @ ( SV3174 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3027 @ SV1075 ) @ ( SV3028 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( SV3028 @ c0 )
= ( SV3174 @ c0 ) )
= $false )
| ( ( ( SV3027 @ c0 )
= ( SV3173 @ c0 ) )
= $false )
| ( ( ( SV3028
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3173 @ SX0 ) @ ( SV3174 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) )
= ( SV3174
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3173 @ SX0 ) @ ( SV3174 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV3027
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3173 @ SX0 ) @ ( SV3174 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) )
= ( SV3173
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3173 @ SX0 ) @ ( SV3174 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV3173 @ SX0 ) @ ( SV3174 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ))]]) ).
thf(1032,plain,
! [SV1075: n,SV3027: n > n,SV3174: n > n,SV3173: n > n,SV3028: n > n] :
( ( ( ( c_plus @ ( SV3027 @ c0 ) @ ( SV3028 @ c0 ) )
= ( c_plus @ ( SV3173 @ c0 ) @ ( SV3174 @ c0 ) ) )
= $false )
| ( ( ( c_plus @ ( SV3173 @ SV1075 ) @ ( SV3174 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3027 @ SV1075 ) @ ( SV3028 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( SV3028
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3173 @ SX0 ) @ ( SV3174 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) )
= ( SV3174
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3173 @ SX0 ) @ ( SV3174 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV3027
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3173 @ SX0 ) @ ( SV3174 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) )
= ( SV3173
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3173 @ SX0 ) @ ( SV3174 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV3173 @ SX0 ) @ ( SV3174 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ))]]) ).
thf(1033,plain,
! [SV1075: n,SV3173: n > n,SV3027: n > n,SV3174: n > n,SV3028: n > n] :
( ( ( ( c_plus
@ ( SV3027
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3173 @ SX0 ) @ ( SV3174 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) )
@ ( SV3028
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3173 @ SX0 ) @ ( SV3174 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV3173
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3173 @ SX0 ) @ ( SV3174 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) )
@ ( SV3174
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3173 @ SX0 ) @ ( SV3174 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3173 @ SV1075 ) @ ( SV3174 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3027 @ SV1075 ) @ ( SV3028 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false )
| ( ( ( SV3028 @ c0 )
= ( SV3174 @ c0 ) )
= $false )
| ( ( ( SV3027 @ c0 )
= ( SV3173 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV3173 @ SX0 ) @ ( SV3174 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ))]]) ).
thf(1034,plain,
! [SV1075: n,SV3174: n > n,SV3173: n > n,SV3028: n > n,SV3027: n > n] :
( ( ( ( c_plus @ ( SV3027 @ c0 ) @ ( SV3028 @ c0 ) )
= ( c_plus @ ( SV3173 @ c0 ) @ ( SV3174 @ c0 ) ) )
= $false )
| ( ( ( c_plus
@ ( SV3027
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3173 @ SX0 ) @ ( SV3174 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) )
@ ( SV3028
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3173 @ SX0 ) @ ( SV3174 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) ) )
= ( c_plus
@ ( SV3173
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3173 @ SX0 ) @ ( SV3174 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) )
@ ( SV3174
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3173 @ SX0 ) @ ( SV3174 @ SX0 ) )
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3173 @ SV1075 ) @ ( SV3174 @ SV1075 ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3027 @ SV1075 ) @ ( SV3028 @ SV1075 ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV3173 @ SX0 ) @ ( SV3174 @ SX0 ) ) )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ))]]) ).
thf(1035,plain,
! [SV3028: n > n,SV3027: n > n] :
( ( ( ( c_plus @ ( SV3027 @ c0 ) @ ( SV3028 @ c0 ) )
= c0 )
= $false )
| ( ( ( c_plus
@ ( SV3027
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) )
@ ( SV3028
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3027 @ ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) ) @ ( SV3028 @ ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) ) )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1075,$thf( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )),bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1076,$thf( ^ [SX0: n] : ( c_plus @ ( SV3027 @ SX0 ) @ ( SV3028 @ SX0 ) ) ))]]) ).
thf(1036,plain,
! [SV3036: n > n,SV3035: n > n] :
( ( ( c0
= ( c_plus @ ( c_plus @ ( SV3035 @ c0 ) @ ( SV3036 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3035 @ SX0 ) @ ( SV3036 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( c_plus
@ ( SV3035
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3035 @ SX0 ) @ ( SV3036 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV3036
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3035 @ SX0 ) @ ( SV3036 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3035 @ SX0 ) @ ( SV3036 @ SX0 ) ) @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ ( SV3035 @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) @ ( SV3036 @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3035 @ SX0 ) @ ( SV3036 @ SX0 ) ) @ SX0 ) )),bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(1037,plain,
! [SV3036: n > n,SV3035: n > n] :
( ( ( c0
= ( c_plus @ ( c_plus @ ( SV3035 @ c0 ) @ ( SV3036 @ c0 ) ) @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3035 @ SX0 ) @ ( SV3036 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( c_plus
@ ( SV3035
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3035 @ SX0 ) @ ( SV3036 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV3036
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3035 @ SX0 ) @ ( SV3036 @ SX0 ) ) @ c0 )
@ ^ [SX0: n] : SX0 ) ) ) )
@ c0 ) )
= $false )
| ( ( ( c_plus @ ( SV3035 @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) @ ( SV3036 @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( c_plus @ ( SV3035 @ SX0 ) @ ( SV3036 @ SX0 ) ) @ c0 ) )),bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(1038,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= c0 )
= $false )
| ( ( c0 = sK1_Xx )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(1039,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
@ c0 ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false )
| ( ( ( c_plus @ sK1_Xx @ c0 )
= c0 )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(1040,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= c0 )
= $false )
| ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) )),bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(1041,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ c0 )
@ ^ [SX0: n] : SX0 ) )
@ c0 ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ SX0 @ c0 ) )),bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(1042,plain,
! [SV3032: n > n,SV3031: n > n] :
( ( ( c0
= ( c_plus @ ( SV3031 @ c0 ) @ ( SV3032 @ c0 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3031 @ SX0 ) @ ( SV3032 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( SV3031
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3031 @ SX0 ) @ ( SV3032 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) )
@ ( SV3032
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ ( SV3031 @ SX0 ) @ ( SV3032 @ SX0 ) )
@ ^ [SX0: n] : SX0 ) ) ) ) )
= $false )
| ( ( ( c_plus @ ( SV3031 @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) @ ( SV3032 @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) ) )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : ( c_plus @ ( SV3031 @ SX0 ) @ ( SV3032 @ SX0 ) ) )),bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(1043,plain,
( ( ( c0 = sK1_Xx )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(1044,plain,
( ( ( c_plus @ sK1_Xx @ c0 )
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(1045,plain,
( ( ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[433:[bind(SV1074,$thf( ^ [SX0: n] : SX0 )),bind(SV1075,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 )),bind(SV1076,$thf( ^ [SX0: n] : SX0 ))]]) ).
thf(1046,plain,
! [SV1075: n,SV12: n,SV1074: n > n,SV1076: n > n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV11 @ SV12 ) )
= $false )
| ( ( ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV13 @ SV12 ) )
= $false ) ),
inference(extuni,[status(esa)],[432]) ).
thf(1047,plain,
! [SV1075: n,SV12: n,SV1074: n > n,SV1076: n > n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV11 @ SV12 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV13 @ SV12 ) )
= $false ) ),
inference(extuni,[status(esa)],[432]) ).
thf(1048,plain,
! [SV1075: n,SV12: n,SV1074: n > n,SV1076: n > n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV11 @ SV12 ) )
= $false )
| ( ( ( SV1074 @ c0 )
= ( SV13 @ SV12 ) )
= $false ) ),
inference(extuni,[status(esa)],[431]) ).
thf(1049,plain,
! [SV1075: n,SV12: n,SV1074: n > n,SV1076: n > n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1074 @ c0 )
= ( SV11 @ SV12 ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV13 @ SV12 ) )
= $false ) ),
inference(extuni,[status(esa)],[431]) ).
thf(1050,plain,
! [SV1075: n,SV12: n,SV1074: n > n,SV1076: n > n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[430]) ).
thf(1051,plain,
! [SV1075: n,SV12: n,SV1074: n > n,SV1076: n > n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[430]) ).
thf(1052,plain,
! [SV1075: n,SV12: n,SV1074: n > n,SV1076: n > n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV1074 @ c0 )
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[429]) ).
thf(1053,plain,
! [SV1075: n,SV12: n,SV1074: n > n,SV1076: n > n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1074 @ c0 )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[429]) ).
thf(1054,plain,
! [SV12: n,SV13: n > n,SV11: n > n,SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV1074 @ SV1075 )
= ( SV13 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[428]) ).
thf(1055,plain,
! [SV12: n,SV13: n > n,SV11: n > n,SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1074 @ SV1075 )
= ( SV11 @ c0 ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV13 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[428]) ).
thf(1056,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ SV1075 ) )
= $false )
| ( ( ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1076 @ SV1075 ) )
= $false ) ),
inference(extuni,[status(esa)],[427]) ).
thf(1057,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ SV1075 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1076 @ SV1075 ) )
= $false ) ),
inference(extuni,[status(esa)],[427]) ).
thf(1058,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ SV1075 ) )
= $false )
| ( ( ( SV1074 @ c0 )
= ( SV1076 @ SV1075 ) )
= $false ) ),
inference(extuni,[status(esa)],[426]) ).
thf(1059,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1074 @ c0 )
= ( SV1074 @ SV1075 ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1076 @ SV1075 ) )
= $false ) ),
inference(extuni,[status(esa)],[426]) ).
thf(1060,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1074 @ SV1075 )
= ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[425]) ).
thf(1061,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1074 @ SV1075 )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[425]) ).
thf(1062,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1074 @ SV1075 )
= ( SV1076 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[424]) ).
thf(1063,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1074 @ SV1075 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV1076 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[424]) ).
thf(1064,plain,
( ( ( c_plus @ c0 @ sK1_Xx )
= sK1_Xx )
= $false ),
inference(sim,[status(thm)],[663]) ).
thf(1065,plain,
( ( ( ( c_plus @ c0 @ c0 )
= c0 )
= $false )
| ( ( ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : SX0
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 ) ) ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(sim,[status(thm)],[656]) ).
thf(1066,plain,
( ( sK1_Xx
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ),
inference(sim,[status(thm)],[651]) ).
thf(1067,plain,
( ( ( c0
= ( c_plus @ c0 @ c0 ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
= ( c_plus
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) )
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: n] : ( c_plus @ SX0 @ SX0 )
@ ^ [SX0: n] : SX0 ) ) ) )
= $false )
| ( ( c0 = sK1_Xx )
= $false ) ),
inference(sim,[status(thm)],[644]) ).
thf(1068,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ SV1075 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1076 @ SV1075 ) )
= $false ) ),
inference(sim,[status(thm)],[1057]) ).
thf(1069,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ SV1075 ) )
= $false )
| ( ( ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1076 @ SV1075 ) )
= $false ) ),
inference(sim,[status(thm)],[1056]) ).
thf(1070,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1074 @ c0 )
= ( SV1074 @ SV1075 ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1076 @ SV1075 ) )
= $false ) ),
inference(sim,[status(thm)],[1059]) ).
thf(1071,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ SV1075 ) )
= $false )
| ( ( ( SV1074 @ c0 )
= ( SV1076 @ SV1075 ) )
= $false ) ),
inference(sim,[status(thm)],[1058]) ).
thf(1072,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1074 @ SV1075 )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[1061]) ).
thf(1073,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1074 @ SV1075 )
= ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[1060]) ).
thf(1074,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1074 @ SV1075 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV1076 @ c0 ) )
= $false ) ),
inference(sim,[status(thm)],[1063]) ).
thf(1075,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) )
= $true )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ SV1075 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1074 @ SV1075 )
= ( SV1076 @ c0 ) )
= $false ) ),
inference(sim,[status(thm)],[1062]) ).
thf(1076,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n] :
( ( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) @ c0 ) )
= ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[54,423]) ).
thf(1077,plain,
! [SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) @ c0 ) )
= ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[54,60]) ).
thf(1078,plain,
! [SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) @ c0 ) )
= ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) ) )
= $false )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[54,60]) ).
thf(1079,plain,
! [SV9: n,SV10: n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) @ c0 ) )
= ( ( c_plus @ SV10 @ ( cS @ SV9 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) ) )
= $false ),
inference(res,[status(thm)],[54,42]) ).
thf(1080,plain,
! [SV8: n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) @ c0 ) )
= ( ( c_plus @ SV8 @ c0 )
= SV8 ) )
= $false ),
inference(res,[status(thm)],[54,35]) ).
thf(1081,plain,
( ( ( sK1_Xx = c0 )
= $false )
| ( ( c0
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[1080:[bind(SV8,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ))]]) ).
thf(1082,plain,
( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[1080:[bind(SV8,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ))]]) ).
thf(1083,plain,
( ( ( c_plus @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) @ c0 )
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[1080:[bind(SV8,$thf( c_plus @ c0 @ sK1_Xx ))]]) ).
thf(1084,plain,
( ( ( ( c_plus @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) @ c0 )
= c0 )
= $false )
| ( ( sK1_Xx = c0 )
= $false ) ),
inference(extuni,[status(esa)],[1080:[bind(SV8,$thf( c0 ))]]) ).
thf(1085,plain,
( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ ( c_plus @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) @ c0 ) @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[1080:[bind(SV8,$thf( c_plus @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) @ c0 ))]]) ).
thf(1086,plain,
! [SV9: n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( cS @ ( c_plus @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) @ SV9 ) ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[1079:[bind(SV10,$thf( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ))]]) ).
thf(1087,plain,
! [SV9: n,SV10: n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) @ c0 )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1079]) ).
thf(1088,plain,
! [SV9: n] :
( ( ( ( c_plus @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) @ c0 )
= ( cS @ ( c_plus @ c0 @ SV9 ) ) )
= $false )
| ( ( sK1_Xx
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[1079:[bind(SV10,$thf( c0 ))]]) ).
thf(1089,plain,
! [SV9: n,SV10: n] :
( ( ( ( c_plus @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) @ c0 )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1079]) ).
thf(1090,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( SV11 @ SV12 ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) @ c0 )
= ( SV13 @ SV12 ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[1078]) ).
thf(1091,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( c_plus @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) @ c0 )
= ( SV11 @ SV12 ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( SV13 @ SV12 ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[1078]) ).
thf(1092,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) @ c0 )
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[1077]) ).
thf(1093,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( c_plus @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) @ c0 )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[1077]) ).
thf(1094,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( ( c_plus @ c0 @ sK1_Xx )
= ( SV1074 @ SV1075 ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) @ c0 )
= ( SV1076 @ SV1075 ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1076]) ).
thf(1095,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( ( c_plus @ ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) @ c0 )
= ( SV1074 @ SV1075 ) )
= $false )
| ( ( ( c_plus @ c0 @ sK1_Xx )
= ( SV1076 @ SV1075 ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1076]) ).
thf(1096,plain,
( ( ( sK1_Xx = c0 )
= $false )
| ( ( c0
= ( c_plus @ ( c_plus @ sK1_Xx @ c0 ) @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[54]) ).
thf(1097,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n] :
( ( ( ( sK1_Xx
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[357,423]) ).
thf(1098,plain,
! [SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( sK1_Xx
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[357,60]) ).
thf(1099,plain,
! [SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( sK1_Xx
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) ) )
= $false )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[357,60]) ).
thf(1100,plain,
! [SV9: n,SV10: n] :
( ( ( sK1_Xx
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= ( ( c_plus @ SV10 @ ( cS @ SV9 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) ) )
= $false ),
inference(res,[status(thm)],[357,42]) ).
thf(1101,plain,
! [SV8: n] :
( ( ( sK1_Xx
= ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) )
= ( ( c_plus @ SV8 @ c0 )
= SV8 ) )
= $false ),
inference(res,[status(thm)],[357,35]) ).
thf(1102,plain,
( ( sK1_Xx
= ( c_plus @ c0 @ sK1_Xx ) )
= $false ),
inference(extuni,[status(esa)],[1101:[bind(SV8,$thf( c_plus @ c0 @ sK1_Xx ))]]) ).
thf(1103,plain,
( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[1101:[bind(SV8,$thf( sK1_Xx ))]]) ).
thf(1104,plain,
( ( sK1_Xx
= ( c_plus @ ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ) @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[1101:[bind(SV8,$thf( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 ))]]) ).
thf(1105,plain,
! [SV9: n] :
( ( ( sK1_Xx
= ( cS @ ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ SV9 ) ) )
= $false )
| ( ( c0
= ( cS @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[1100:[bind(SV10,$thf( c_plus @ c0 @ sK1_Xx ))]]) ).
thf(1106,plain,
! [SV9: n,SV10: n] :
( ( ( sK1_Xx
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1100]) ).
thf(1107,plain,
! [SV9: n,SV10: n] :
( ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( sK1_Xx
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1100]) ).
thf(1108,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( sK1_Xx
= ( SV11 @ SV12 ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( SV13 @ SV12 ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[1099]) ).
thf(1109,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( SV11 @ SV12 ) )
= $false )
| ( ( sK1_Xx
= ( SV13 @ SV12 ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[1099]) ).
thf(1110,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( sK1_Xx
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[1098]) ).
thf(1111,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( sK1_Xx
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[1098]) ).
thf(1112,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( sK1_Xx
= ( SV1074 @ SV1075 ) )
= $false )
| ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( SV1076 @ SV1075 ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1097]) ).
thf(1113,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( ( c_plus @ ( c_plus @ c0 @ sK1_Xx ) @ c0 )
= ( SV1074 @ SV1075 ) )
= $false )
| ( ( sK1_Xx
= ( SV1076 @ SV1075 ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1097]) ).
thf(1114,plain,
! [SV1074: n > n,SV1075: n,SV1076: n > n] :
( ( ( ( sK1_Xx = c0 )
= ( ( SV1076 @ SV1075 )
= ( SV1074 @ SV1075 ) ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[367,423]) ).
thf(1115,plain,
! [SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( sK1_Xx = c0 )
= ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) ) )
= $false )
| ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[367,60]) ).
thf(1116,plain,
! [SV11: n > n,SV12: n,SV13: n > n] :
( ( ( ( sK1_Xx = c0 )
= ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) ) )
= $false )
| ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(res,[status(thm)],[367,60]) ).
thf(1117,plain,
! [SV9: n,SV10: n] :
( ( ( sK1_Xx = c0 )
= ( ( c_plus @ SV10 @ ( cS @ SV9 ) )
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) ) )
= $false ),
inference(res,[status(thm)],[367,42]) ).
thf(1118,plain,
! [SV8: n] :
( ( ( sK1_Xx = c0 )
= ( ( c_plus @ SV8 @ c0 )
= SV8 ) )
= $false ),
inference(res,[status(thm)],[367,35]) ).
thf(1119,plain,
( ( c0
= ( c_plus @ sK1_Xx @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[1118:[bind(SV8,$thf( sK1_Xx ))]]) ).
thf(1120,plain,
( ( sK1_Xx
= ( c_plus @ c0 @ c0 ) )
= $false ),
inference(extuni,[status(esa)],[1118:[bind(SV8,$thf( c0 ))]]) ).
thf(1121,plain,
! [SV9: n,SV10: n] :
( ( ( sK1_Xx
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( c0
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1117]) ).
thf(1122,plain,
! [SV9: n,SV10: n] :
( ( ( c0
= ( cS @ ( c_plus @ SV10 @ SV9 ) ) )
= $false )
| ( ( sK1_Xx
= ( c_plus @ SV10 @ ( cS @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1117]) ).
thf(1123,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( sK1_Xx
= ( SV11 @ SV12 ) )
= $false )
| ( ( c0
= ( SV13 @ SV12 ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[1116]) ).
thf(1124,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) )
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $true )
| ( ( c0
= ( SV11 @ SV12 ) )
= $false )
| ( ( sK1_Xx
= ( SV13 @ SV12 ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[1116]) ).
thf(1125,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( sK1_Xx
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( c0
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[1115]) ).
thf(1126,plain,
! [SV12: n,SV11: n > n,SV13: n > n] :
( ( ( ( SV13 @ SV12 )
= ( SV11 @ SV12 ) )
= $true )
| ( ( c0
= ( SV11 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( sK1_Xx
= ( SV13 @ ( sK2_Xx @ SV11 @ SV13 ) ) )
= $false )
| ( ( ( SV13 @ c0 )
= ( SV11 @ c0 ) )
= $false ) ),
inference(extuni,[status(esa)],[1115]) ).
thf(1127,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( sK1_Xx
= ( SV1074 @ SV1075 ) )
= $false )
| ( ( c0
= ( SV1076 @ SV1075 ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1114]) ).
thf(1128,plain,
! [SV1075: n,SV1074: n > n,SV1076: n > n] :
( ( ( c0
= ( SV1074 @ SV1075 ) )
= $false )
| ( ( sK1_Xx
= ( SV1076 @ SV1075 ) )
= $false )
| ( ( ( SV1076 @ c0 )
= ( SV1074 @ c0 ) )
= $false )
| ( ( ( SV1076 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) )
= ( SV1074 @ ( cS @ ( sK2_Xx @ SV1074 @ SV1076 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1114]) ).
thf(1129,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[18,1128,1127,1126,1125,1124,1123,1122,1121,1120,1119,1113,1112,1111,1110,1109,1108,1107,1106,1105,1104,1103,1102,1096,1095,1094,1093,1092,1091,1090,1089,1088,1087,1086,1085,1084,1083,1082,1081,1075,1074,1073,1072,1071,1070,1069,1068,1067,1066,1065,1064,1055,1054,1053,1052,1051,1050,1049,1048,1047,1046,1045,1044,1043,1042,1041,1040,1039,1038,1037,1036,1035,1034,1033,1032,1031,1030,1029,1028,1027,1026,1025,1024,1023,1022,1021,1020,1019,1018,1017,1016,1015,1014,1013,1012,1011,1010,1009,1008,1007,1006,1005,1004,1003,1002,1001,1000,999,998,997,996,995,994,993,992,991,990,989,988,987,986,985,984,983,982,981,980,979,978,977,976,975,974,973,972,971,970,969,968,967,966,965,964,963,962,961,960,959,958,957,956,955,954,953,952,951,950,949,948,947,946,945,944,943,942,941,940,939,938,937,936,935,934,933,932,931,930,929,928,927,926,925,924,923,922,921,920,919,918,917,916,915,914,913,912,911,910,909,908,907,906,905,904,903,902,901,900,899,898,897,896,895,894,893,892,890,889,888,887,886,885,884,883,882,881,880,879,878,877,876,875,874,873,872,871,870,869,868,867,866,865,864,863,861,860,859,858,857,856,855,854,853,852,851,850,849,848,847,846,845,844,843,842,841,840,839,838,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,662,661,660,659,658,657,655,654,653,652,650,649,648,647,646,645,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,402,401,400,399,398,397,396,395,394,393,392,391,390,385,384,383,382,381,380,379,378,377,376,375,374,373,372,367,366,365,364,363,362,361,360,357,352,351,350,349,348,347,346,345,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,60,59,58,57,56,55,54,53,52,51,50,47,46,45,44,42,41,40,39,38,37,35,34]) ).
thf(1130,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM827^5 : TPTP v9.3.1. Bugfixed v5.3.0.
% 0.00/0.02 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Oct 6 13:40:01 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 241.39/40.47
% 241.39/40.47 No.of.Axioms: 0
% 241.39/40.47
% 241.39/40.47 Length.of.Defs: 570
% 241.39/40.47
% 241.39/40.47 Contains.Choice.Funs: false
% 241.39/40.47 ..eprover: CPU time limit exceeded, terminating
% 241.39/40.47 .........eprover: CPU time limit exceeded, terminating
% 241.39/40.47 ...................
% 241.39/40.47
% 241.39/40.47 ********************************
% 241.39/40.47 * All subproblems solved! *
% 241.39/40.47 ********************************
% 241.39/40.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:true,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:1129,loop_count:15,foatp_calls:5,translation:fof_full)
% 241.39/40.47
% 241.39/40.47 %**** Beginning of derivation protocol ****
% 241.39/40.47 % SZS output start CNFRefutation
% See solution above
% 241.39/40.49
% 241.39/40.49 %**** End of derivation protocol ****
% 241.39/40.49 %**** no. of clauses in derivation: 1107 ****
% 241.39/40.49 %**** clause counter: 1129 ****
% 241.39/40.49
% 241.39/40.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:true,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:1129,loop_count:15,foatp_calls:5,translation:fof_full)
%------------------------------------------------------------------------------