%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO239^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 11:07:54 AM UTC 2026
% Result : Theorem 136.92s 23.12s
% Output : CNFRefutation 136.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 1
% Syntax : Number of formulae : 440 ( 51 unt; 0 typ; 0 def)
% Number of atoms : 3861 (2719 equ; 0 cnn)
% Maximal formula atoms : 5 ( 8 avg)
% Number of connectives : 12239 (1614 ~; 795 |; 4 &;9814 @)
% ( 9 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 444 ( 444 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 2076 (1237 ^; 826 !; 13 ?;2076 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c2,type,
c2: $i ).
thf(tp_c_star,type,
c_star: $i > $i > $i ).
thf(tp_s,type,
s: $i > $i ).
thf(tp_sK1_Xx,type,
sK1_Xx: ( $i > $o ) > $i ).
thf(tp_sK2_Xu,type,
sK2_Xu: $i > $i ).
thf(tp_sK3_Xv,type,
sK3_Xv: $i > $i ).
thf(1,conjecture,
( ! [Xx: $i] :
( ? [Xu: $i] :
( Xx
= ( c_star @ c2 @ Xu ) )
<=> ~ ? [Xv: $i] :
( ( s @ Xx )
= ( c_star @ c2 @ Xv ) ) )
=> ? [A: $i > $o] :
! [Xx: $i] :
( ( A @ Xx )
<=> ~ ( A @ ( s @ Xx ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBLEDSOE_FENG_SV_EO1_W_LEM) ).
thf(2,negated_conjecture,
( ( ! [Xx: $i] :
( ? [Xu: $i] :
( Xx
= ( c_star @ c2 @ Xu ) )
<=> ~ ? [Xv: $i] :
( ( s @ Xx )
= ( c_star @ c2 @ Xv ) ) )
=> ? [A: $i > $o] :
! [Xx: $i] :
( ( A @ Xx )
<=> ~ ( A @ ( s @ Xx ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xx: $i] :
( ? [Xu: $i] :
( Xx
= ( c_star @ c2 @ Xu ) )
<=> ~ ? [Xv: $i] :
( ( s @ Xx )
= ( c_star @ c2 @ Xv ) ) )
=> ? [A: $i > $o] :
! [Xx: $i] :
( ( A @ Xx )
<=> ~ ( A @ ( s @ Xx ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Xx: $i] :
( ? [Xu: $i] :
( Xx
= ( c_star @ c2 @ Xu ) )
<=> ~ ? [Xv: $i] :
( ( s @ Xx )
= ( c_star @ c2 @ Xv ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ? [A: $i > $o] :
! [Xx: $i] :
( ( A @ Xx )
<=> ~ ( A @ ( s @ Xx ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ? [A: $i > $o] :
! [Xx: $i] :
( ( A @ Xx )
<=> ~ ( A @ ( s @ Xx ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [A: $i > $o] :
( ( ~ ( A @ ( sK1_Xx @ A ) )
| ( A @ ( s @ ( sK1_Xx @ A ) ) ) )
& ( ( A @ ( sK1_Xx @ A ) )
| ~ ( A @ ( s @ ( sK1_Xx @ A ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [Xx: $i] :
( ! [Xu: $i] :
( Xx
!= ( c_star @ c2 @ Xu ) )
| ! [Xv: $i] :
( ( s @ Xx )
!= ( c_star @ c2 @ Xv ) ) )
& ! [Xx: $i] :
( ( ( s @ Xx )
= ( c_star @ c2 @ ( sK3_Xv @ Xx ) ) )
| ( Xx
= ( c_star @ c2 @ ( sK2_Xu @ Xx ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(9,plain,
( ( ! [Xx: $i] :
( ! [Xu: $i] :
( Xx
!= ( c_star @ c2 @ Xu ) )
| ! [Xv: $i] :
( ( s @ Xx )
!= ( c_star @ c2 @ Xv ) ) )
& ! [Xx: $i] :
( ( ( s @ Xx )
= ( c_star @ c2 @ ( sK3_Xv @ Xx ) ) )
| ( Xx
= ( c_star @ c2 @ ( sK2_Xu @ Xx ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [A: $i > $o] :
( ( ~ ( A @ ( sK1_Xx @ A ) )
| ( A @ ( s @ ( sK1_Xx @ A ) ) ) )
& ( ( A @ ( sK1_Xx @ A ) )
| ~ ( A @ ( s @ ( sK1_Xx @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( SX0
!= ( c_star @ c2 @ SX1 ) )
| ! [SX1: $i] :
( ( s @ SX0 )
!= ( c_star @ c2 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ( ( s @ SX0 )
= ( c_star @ c2 @ ( sK3_Xv @ SX0 ) ) )
| ( SX0
= ( c_star @ c2 @ ( sK2_Xu @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(12,plain,
( ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK1_Xx @ SX0 ) )
| ( SX0 @ ( s @ ( sK1_Xx @ SX0 ) ) ) )
| ~ ( ( SX0 @ ( sK1_Xx @ SX0 ) )
| ~ ( SX0 @ ( s @ ( sK1_Xx @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( SX0
!= ( c_star @ c2 @ SX1 ) )
| ! [SX1: $i] :
( ( s @ SX0 )
!= ( c_star @ c2 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ( ( s @ SX0 )
= ( c_star @ c2 @ ( sK3_Xv @ SX0 ) ) )
| ( SX0
= ( c_star @ c2 @ ( sK2_Xu @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(14,plain,
! [SV1: $i > $o] :
( ( ~ ( ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) )
| ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) ) )
| ~ ( ( SV1 @ ( sK1_Xx @ SV1 ) )
| ~ ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( SX0
!= ( c_star @ c2 @ SX1 ) )
| ! [SX1: $i] :
( ( s @ SX0 )
!= ( c_star @ c2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ! [SX0: $i] :
( ( ( s @ SX0 )
= ( c_star @ c2 @ ( sK3_Xv @ SX0 ) ) )
| ( SX0
= ( c_star @ c2 @ ( sK2_Xu @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(17,plain,
! [SV1: $i > $o] :
( ( ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) )
| ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) ) )
| ~ ( ( SV1 @ ( sK1_Xx @ SV1 ) )
| ~ ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(18,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
( SX0
!= ( c_star @ c2 @ SX1 ) )
| ! [SX1: $i] :
( ( s @ SX0 )
!= ( c_star @ c2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(19,plain,
( ( ! [SX0: $i] :
( ( ( s @ SX0 )
= ( c_star @ c2 @ ( sK3_Xv @ SX0 ) ) )
| ( SX0
= ( c_star @ c2 @ ( sK2_Xu @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
! [SV1: $i > $o] :
( ( ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) )
| ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV1: $i > $o] :
( ( ~ ( ( SV1 @ ( sK1_Xx @ SV1 ) )
| ~ ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(22,plain,
! [SV2: $i] :
( ( ! [SY5: $i] :
( SV2
!= ( c_star @ c2 @ SY5 ) )
| ! [SY6: $i] :
( ( s @ SV2 )
!= ( c_star @ c2 @ SY6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(23,plain,
! [SV3: $i] :
( ( ( ( s @ SV3 )
= ( c_star @ c2 @ ( sK3_Xv @ SV3 ) ) )
| ( SV3
= ( c_star @ c2 @ ( sK2_Xu @ SV3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
! [SV1: $i > $o] :
( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) )
| ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(25,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
| ~ ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(26,plain,
! [SV2: $i] :
( ( ( ! [SY5: $i] :
( SV2
!= ( c_star @ c2 @ SY5 ) ) )
= $true )
| ( ( ! [SY6: $i] :
( ( s @ SV2 )
!= ( c_star @ c2 @ SY6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(27,plain,
! [SV3: $i] :
( ( ( ( s @ SV3 )
= ( c_star @ c2 @ ( sK3_Xv @ SV3 ) ) )
= $true )
| ( ( SV3
= ( c_star @ c2 @ ( sK2_Xu @ SV3 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(28,plain,
! [SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(29,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $true )
| ( ( ~ ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(30,plain,
! [SV4: $i,SV2: $i] :
( ( ( SV2
!= ( c_star @ c2 @ SV4 ) )
= $true )
| ( ( ! [SY6: $i] :
( ( s @ SV2 )
!= ( c_star @ c2 @ SY6 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(31,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false )
| ( ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(33,plain,
! [SV4: $i,SV2: $i] :
( ( ( SV2
= ( c_star @ c2 @ SV4 ) )
= $false )
| ( ( ! [SY6: $i] :
( ( s @ SV2 )
!= ( c_star @ c2 @ SY6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV4: $i,SV5: $i,SV2: $i] :
( ( ( ( s @ SV2 )
!= ( c_star @ c2 @ SV5 ) )
= $true )
| ( ( SV2
= ( c_star @ c2 @ SV4 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(35,plain,
! [SV4: $i,SV5: $i,SV2: $i] :
( ( ( ( s @ SV2 )
= ( c_star @ c2 @ SV5 ) )
= $false )
| ( ( SV2
= ( c_star @ c2 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(38,plain,
! [SV8: $i > $o] :
( ( ( ~ ( SV8
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV8
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[31:[bind(SV1,$thf( ^ [SV7: $i] : ~ ( SV8 @ SV7 ) ))]]) ).
thf(42,plain,
! [SV8: $i > $o] :
( ( ( ~ ( SV8
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV8
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[32:[bind(SV1,$thf( ^ [SV7: $i] : ~ ( SV8 @ SV7 ) ))]]) ).
thf(44,plain,
! [SV3: $i] :
( ( ( SV3
= ( c_star @ c2 @ ( sK2_Xu @ SV3 ) ) )
= $true )
| ( ( ( ( s @ SV3 )
= ( c_star @ c2 @ ( sK3_Xv @ SV3 ) ) )
= ( SV3
= ( c_star @ c2 @ ( sK2_Xu @ SV3 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[27]) ).
thf(45,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false )
| ( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= ( ~ ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[31]) ).
thf(46,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
= $false )
| ( ( ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
= ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[32]) ).
thf(47,plain,
! [SV4: $i,SV5: $i,SV2: $i] :
( ( ( SV2
= ( c_star @ c2 @ SV4 ) )
= $false )
| ( ( ( ( s @ SV2 )
= ( c_star @ c2 @ SV5 ) )
= ( SV2
= ( c_star @ c2 @ SV4 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[35]) ).
thf(48,plain,
! [SV3: $i] :
( ( ( ~ ( ( ( s @ SV3 )
= ( c_star @ c2 @ ( sK3_Xv @ SV3 ) ) )
| ( SV3
= ( c_star @ c2 @ ( sK2_Xu @ SV3 ) ) ) )
| ~ ( ( ( s @ SV3 )
!= ( c_star @ c2 @ ( sK3_Xv @ SV3 ) ) )
| ( SV3
!= ( c_star @ c2 @ ( sK2_Xu @ SV3 ) ) ) ) )
= $false )
| ( ( SV3
= ( c_star @ c2 @ ( sK2_Xu @ SV3 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[44]) ).
thf(50,plain,
! [SV1: $i > $o] :
( ( ( ~ ( ( SV1 @ ( sK1_Xx @ SV1 ) )
| ~ ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) ) )
| ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) )
| ~ ~ ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[45]) ).
thf(51,plain,
! [SV1: $i > $o] :
( ( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= ( ~ ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[45]) ).
thf(52,plain,
! [SV1: $i > $o] :
( ( ( ~ ( ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
| ~ ( SV1 @ ( sK1_Xx @ SV1 ) ) )
| ~ ( ~ ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[46]) ).
thf(53,plain,
! [SV1: $i > $o] :
( ( ( ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
= ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[46]) ).
thf(54,plain,
! [SV4: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( ( ( s @ SV2 )
= ( c_star @ c2 @ SV5 ) )
| ( SV2
= ( c_star @ c2 @ SV4 ) ) )
| ~ ( ( ( s @ SV2 )
!= ( c_star @ c2 @ SV5 ) )
| ( SV2
!= ( c_star @ c2 @ SV4 ) ) ) )
= $false )
| ( ( SV2
= ( c_star @ c2 @ SV4 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[47]) ).
thf(55,plain,
! [SV4: $i,SV5: $i,SV2: $i] :
( ( ( ( ( s @ SV2 )
= ( c_star @ c2 @ SV5 ) )
= ( SV2
= ( c_star @ c2 @ SV4 ) ) )
= $false )
| ( ( SV2
= ( c_star @ c2 @ SV4 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[47]) ).
thf(56,plain,
! [SV3: $i] :
( ( ( ~ ( ( ( s @ SV3 )
= ( c_star @ c2 @ ( sK3_Xv @ SV3 ) ) )
| ( SV3
= ( c_star @ c2 @ ( sK2_Xu @ SV3 ) ) ) ) )
= $false )
| ( ( SV3
= ( c_star @ c2 @ ( sK2_Xu @ SV3 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(59,plain,
! [SV1: $i > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) )
| ~ ~ ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(61,plain,
! [SV1: $i > $o] :
( ( ( ~ ( ~ ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(63,plain,
! [SV4: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( ( ( s @ SV2 )
!= ( c_star @ c2 @ SV5 ) )
| ( SV2
!= ( c_star @ c2 @ SV4 ) ) ) )
= $false )
| ( ( SV2
= ( c_star @ c2 @ SV4 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(64,plain,
! [SV3: $i] :
( ( ( ( ( s @ SV3 )
= ( c_star @ c2 @ ( sK3_Xv @ SV3 ) ) )
| ( SV3
= ( c_star @ c2 @ ( sK2_Xu @ SV3 ) ) ) )
= $true )
| ( ( SV3
= ( c_star @ c2 @ ( sK2_Xu @ SV3 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(67,plain,
! [SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) )
| ~ ~ ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(69,plain,
! [SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(71,plain,
! [SV4: $i,SV5: $i,SV2: $i] :
( ( ( ( ( s @ SV2 )
!= ( c_star @ c2 @ SV5 ) )
| ( SV2
!= ( c_star @ c2 @ SV4 ) ) )
= $true )
| ( ( SV2
= ( c_star @ c2 @ SV4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(72,plain,
! [SV3: $i] :
( ( ( ( s @ SV3 )
= ( c_star @ c2 @ ( sK3_Xv @ SV3 ) ) )
= $true )
| ( ( SV3
= ( c_star @ c2 @ ( sK2_Xu @ SV3 ) ) )
= $true )
| ( ( SV3
= ( c_star @ c2 @ ( sK2_Xu @ SV3 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(75,plain,
! [SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) ) )
= $true )
| ( ( ~ ~ ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(77,plain,
! [SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(79,plain,
! [SV4: $i,SV5: $i,SV2: $i] :
( ( ( ( s @ SV2 )
!= ( c_star @ c2 @ SV5 ) )
= $true )
| ( ( SV2
!= ( c_star @ c2 @ SV4 ) )
= $true )
| ( ( SV2
= ( c_star @ c2 @ SV4 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(82,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false )
| ( ( ~ ~ ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(84,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
= $false )
| ( ( ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(85,plain,
! [SV4: $i,SV5: $i,SV2: $i] :
( ( ( ( s @ SV2 )
= ( c_star @ c2 @ SV5 ) )
= $false )
| ( ( SV2
!= ( c_star @ c2 @ SV4 ) )
= $true )
| ( ( SV2
= ( c_star @ c2 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(87,plain,
! [SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(88,plain,
! [SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(89,plain,
! [SV5: $i,SV4: $i,SV2: $i] :
( ( ( SV2
= ( c_star @ c2 @ SV4 ) )
= $false )
| ( ( ( s @ SV2 )
= ( c_star @ c2 @ SV5 ) )
= $false )
| ( ( SV2
= ( c_star @ c2 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(90,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(91,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $true )
| ( ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(93,plain,
! [SV25: $i > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV25
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV25
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV25
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[51:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( ~ ( ~ ( SV25 @ SX0 ) ) ) ) ) ))]]) ).
thf(94,plain,
! [SV22: $i > $o] :
( ( ( ~ ~ ~ ~ ( SV22
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV22
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV22
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[51:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( ~ ( SV22 @ SX0 ) ) ) ) ))]]) ).
thf(97,plain,
! [SV19: $i > $o] :
( ( ( ~ ~ ~ ( SV19
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV19
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV19
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[51:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( SV19 @ SX0 ) ) ) ))]]) ).
thf(98,plain,
! [SV16: $i > $o] :
( ( ( ~ ~ ( SV16
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV16 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV16
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV16 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV16
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV16 @ SX0 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[51:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( ~ ( SV16 @ SX0 ) ) ))]]) ).
thf(101,plain,
! [SV13: $i > $o] :
( ( ( ~ ( SV13
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV13 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV13
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV13 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV13
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV13 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[51:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( SV13 @ SX0 ) ))]]) ).
thf(103,plain,
! [SV43: $i > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV43
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV43
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV43
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[53:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( ~ ( ~ ( SV43 @ SX0 ) ) ) ) ) ))]]) ).
thf(104,plain,
! [SV40: $i > $o] :
( ( ( ~ ~ ~ ~ ( SV40
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV40
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV40
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[53:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( ~ ( SV40 @ SX0 ) ) ) ) ))]]) ).
thf(107,plain,
! [SV37: $i > $o] :
( ( ( ~ ~ ~ ( SV37
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV37
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV37
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[53:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( SV37 @ SX0 ) ) ) ))]]) ).
thf(108,plain,
! [SV34: $i > $o] :
( ( ( ~ ~ ( SV34
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV34 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV34
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV34 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV34
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV34 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[53:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( ~ ( SV34 @ SX0 ) ) ))]]) ).
thf(111,plain,
! [SV31: $i > $o] :
( ( ( ~ ( SV31
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV31 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV31
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV31 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV31
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV31 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[53:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( SV31 @ SX0 ) ))]]) ).
thf(113,plain,
! [SV5: $i,SV4: $i] :
( ( ( s @ ( c_star @ c2 @ SV4 ) )
= ( c_star @ c2 @ SV5 ) )
= $false ),
inference(extuni,[status(esa)],[89:[bind(SV2,$thf( c_star @ c2 @ SV4 ))]]) ).
thf(115,plain,
! [SV4: $i,SV5: $i] :
( ( ( ( c_star @ c2 @ SV5 )
= ( c_star @ c2 @ SV4 ) )
= $false )
| ( ( ( s @ ( c_star @ c2 @ SV5 ) )
= ( c_star @ c2 @ SV4 ) )
= $false ) ),
inference(extuni,[status(esa)],[55:[bind(SV2,$thf( c_star @ c2 @ SV5 ))]]) ).
thf(116,plain,
! [SV13: $i > $o] :
( ( ( SV13
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV13 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV13
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV13 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV13
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV13 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(119,plain,
! [SV16: $i > $o] :
( ( ( ~ ( SV16
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV16 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV16
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV16 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV16
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV16 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(120,plain,
! [SV19: $i > $o] :
( ( ( ~ ~ ( SV19
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV19
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV19
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(123,plain,
! [SV22: $i > $o] :
( ( ( ~ ~ ~ ( SV22
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV22
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV22
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(124,plain,
! [SV25: $i > $o] :
( ( ( ~ ~ ~ ~ ( SV25
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV25
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV25
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(126,plain,
! [SV31: $i > $o] :
( ( ( SV31
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV31 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV31
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV31 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV31
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV31 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(129,plain,
! [SV34: $i > $o] :
( ( ( ~ ( SV34
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV34 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV34
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV34 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV34
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV34 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(130,plain,
! [SV37: $i > $o] :
( ( ( ~ ~ ( SV37
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV37
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV37
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(133,plain,
! [SV40: $i > $o] :
( ( ( ~ ~ ~ ( SV40
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV40
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV40
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(134,plain,
! [SV43: $i > $o] :
( ( ( ~ ~ ~ ~ ( SV43
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV43
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV43
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(136,plain,
! [SV13: $i > $o] :
( ( ( SV13
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV13 @ SX0 ) ) )
= $true )
| ( ( SV13
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV13 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ( SV13
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV13 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(139,plain,
! [SV16: $i > $o] :
( ( ( SV16
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV16 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV16
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV16 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV16
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV16 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(140,plain,
! [SV19: $i > $o] :
( ( ( ~ ( SV19
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV19
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV19
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(143,plain,
! [SV22: $i > $o] :
( ( ( ~ ~ ( SV22
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV22
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV22
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(144,plain,
! [SV25: $i > $o] :
( ( ( ~ ~ ~ ( SV25
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV25
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV25
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(146,plain,
! [SV31: $i > $o] :
( ( ( SV31
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV31 @ SX0 ) ) ) )
= $true )
| ( ( SV31
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV31 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV31
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV31 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(149,plain,
! [SV34: $i > $o] :
( ( ( SV34
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV34 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV34
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV34 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV34
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV34 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(150,plain,
! [SV37: $i > $o] :
( ( ( ~ ( SV37
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV37
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV37
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(153,plain,
! [SV40: $i > $o] :
( ( ( ~ ~ ( SV40
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV40
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV40
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(154,plain,
! [SV43: $i > $o] :
( ( ( ~ ~ ~ ( SV43
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV43
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV43
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(156,plain,
! [SV13: $i > $o] :
( ( ( ~ ( SV13
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV13 @ SX0 ) ) ) ) )
= $true )
| ( ( SV13
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV13 @ SX0 ) ) )
= $true )
| ( ( SV13
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV13 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(159,plain,
! [SV16: $i > $o] :
( ( ( SV16
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV16 @ SX0 ) ) )
= $false )
| ( ( SV16
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV16 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ( SV16
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV16 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(160,plain,
! [SV19: $i > $o] :
( ( ( SV19
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV19
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV19
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(163,plain,
! [SV22: $i > $o] :
( ( ( ~ ( SV22
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV22
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV22
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(164,plain,
! [SV25: $i > $o] :
( ( ( ~ ~ ( SV25
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV25
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV25
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(166,plain,
! [SV31: $i > $o] :
( ( ( ~ ( SV31
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV31 @ SX0 ) ) ) )
= $true )
| ( ( SV31
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV31 @ SX0 ) ) ) )
= $true )
| ( ( SV31
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV31 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(169,plain,
! [SV34: $i > $o] :
( ( ( SV34
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV34 @ SX0 ) ) ) )
= $false )
| ( ( SV34
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV34 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV34
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV34 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(170,plain,
! [SV37: $i > $o] :
( ( ( SV37
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV37
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV37
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(173,plain,
! [SV40: $i > $o] :
( ( ( ~ ( SV40
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV40
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV40
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(174,plain,
! [SV43: $i > $o] :
( ( ( ~ ~ ( SV43
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV43
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV43
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(176,plain,
! [SV13: $i > $o] :
( ( ( SV13
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV13 @ SX0 ) ) ) )
= $false )
| ( ( SV13
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV13 @ SX0 ) ) )
= $true )
| ( ( SV13
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV13 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(179,plain,
! [SV16: $i > $o] :
( ( ( ~ ( SV16
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV16 @ SX0 ) ) ) ) )
= $false )
| ( ( SV16
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV16 @ SX0 ) ) )
= $false )
| ( ( SV16
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV16 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(180,plain,
! [SV19: $i > $o] :
( ( ( SV19
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) )
= $true )
| ( ( SV19
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ( SV19
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(183,plain,
! [SV22: $i > $o] :
( ( ( SV22
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV22
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV22
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(184,plain,
! [SV25: $i > $o] :
( ( ( ~ ( SV25
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV25
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV25
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(186,plain,
! [SV31: $i > $o] :
( ( ( SV31
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV31 @ SX0 ) ) )
= $false )
| ( ( SV31
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV31 @ SX0 ) ) ) )
= $true )
| ( ( SV31
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV31 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(189,plain,
! [SV34: $i > $o] :
( ( ( ~ ( SV34
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV34 @ SX0 ) ) ) )
= $false )
| ( ( SV34
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV34 @ SX0 ) ) ) )
= $false )
| ( ( SV34
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV34 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(190,plain,
! [SV37: $i > $o] :
( ( ( SV37
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $true )
| ( ( SV37
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV37
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(193,plain,
! [SV40: $i > $o] :
( ( ( SV40
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV40
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV40
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(194,plain,
! [SV43: $i > $o] :
( ( ( ~ ( SV43
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV43
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV43
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(197,plain,
! [SV16: $i > $o] :
( ( ( SV16
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV16 @ SX0 ) ) ) )
= $true )
| ( ( SV16
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV16 @ SX0 ) ) )
= $false )
| ( ( SV16
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV16 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(198,plain,
! [SV19: $i > $o] :
( ( ( ~ ( SV19
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) ) ) )
= $true )
| ( ( SV19
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) )
= $true )
| ( ( SV19
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(201,plain,
! [SV22: $i > $o] :
( ( ( SV22
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) )
= $false )
| ( ( SV22
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ( SV22
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(202,plain,
! [SV25: $i > $o] :
( ( ( SV25
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV25
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV25
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(205,plain,
! [SV34: $i > $o] :
( ( ( SV34
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV34 @ SX0 ) ) )
= $true )
| ( ( SV34
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV34 @ SX0 ) ) ) )
= $false )
| ( ( SV34
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV34 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(206,plain,
! [SV37: $i > $o] :
( ( ( ~ ( SV37
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $true )
| ( ( SV37
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $true )
| ( ( SV37
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(209,plain,
! [SV40: $i > $o] :
( ( ( SV40
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) )
= $false )
| ( ( SV40
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV40
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(210,plain,
! [SV43: $i > $o] :
( ( ( SV43
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV43
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ( SV43
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(212,plain,
! [SV19: $i > $o] :
( ( ( SV19
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) ) )
= $false )
| ( ( SV19
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) )
= $true )
| ( ( SV19
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(215,plain,
! [SV22: $i > $o] :
( ( ( ~ ( SV22
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) ) ) )
= $false )
| ( ( SV22
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) )
= $false )
| ( ( SV22
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(216,plain,
! [SV25: $i > $o] :
( ( ( SV25
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) )
= $true )
| ( ( SV25
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ( SV25
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(218,plain,
! [SV37: $i > $o] :
( ( ( SV37
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) )
= $false )
| ( ( SV37
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $true )
| ( ( SV37
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(221,plain,
! [SV40: $i > $o] :
( ( ( ~ ( SV40
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) )
= $false )
| ( ( SV40
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) )
= $false )
| ( ( SV40
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(222,plain,
! [SV43: $i > $o] :
( ( ( SV43
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) )
= $true )
| ( ( SV43
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV43
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(225,plain,
! [SV22: $i > $o] :
( ( ( SV22
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) ) )
= $true )
| ( ( SV22
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) )
= $false )
| ( ( SV22
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(226,plain,
! [SV25: $i > $o] :
( ( ( ~ ( SV25
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) ) ) )
= $true )
| ( ( SV25
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) )
= $true )
| ( ( SV25
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(229,plain,
! [SV40: $i > $o] :
( ( ( SV40
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) )
= $true )
| ( ( SV40
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) )
= $false )
| ( ( SV40
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(230,plain,
! [SV43: $i > $o] :
( ( ( ~ ( SV43
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) )
= $true )
| ( ( SV43
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) )
= $true )
| ( ( SV43
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(232,plain,
! [SV25: $i > $o] :
( ( ( SV25
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) ) )
= $false )
| ( ( SV25
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) )
= $true )
| ( ( SV25
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(234,plain,
! [SV43: $i > $o] :
( ( ( SV43
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) )
= $false )
| ( ( SV43
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) )
= $true )
| ( ( SV43
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(236,plain,
! [SV8: $i > $o] :
( ( ( SV8
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV8
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(237,plain,
! [SV8: $i > $o] :
( ( ( SV8
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV8
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(238,plain,
! [SV8: $i > $o] :
( ( ( SV8
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) ) )
= $false )
| ( ( SV8
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(239,plain,
! [SV8: $i > $o] :
( ( ( SV8
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false )
| ( ( SV8
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(240,plain,
! [SV3: $i] :
( ( ( ( s @ SV3 )
= ( c_star @ c2 @ ( sK3_Xv @ SV3 ) ) )
= $true )
| ( ( SV3
= ( c_star @ c2 @ ( sK2_Xu @ SV3 ) ) )
= $true ) ),
inference(sim,[status(thm)],[72]) ).
thf(241,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false ) ),
inference(sim,[status(thm)],[90]) ).
thf(242,plain,
! [SV13: $i > $o] :
( ( ( SV13
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV13 @ SX0 ) ) ) )
= $false )
| ( ( SV13
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV13 @ SX0 ) ) )
= $true ) ),
inference(sim,[status(thm)],[176]) ).
thf(243,plain,
! [SV16: $i > $o] :
( ( ( SV16
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV16 @ SX0 ) ) ) )
= $true )
| ( ( SV16
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV16 @ SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[197]) ).
thf(244,plain,
! [SV19: $i > $o] :
( ( ( SV19
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) ) )
= $false )
| ( ( SV19
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV19 @ SX0 ) ) )
= $true ) ),
inference(sim,[status(thm)],[212]) ).
thf(245,plain,
! [SV22: $i > $o] :
( ( ( SV22
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) ) )
= $true )
| ( ( SV22
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV22 @ SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[225]) ).
thf(246,plain,
! [SV25: $i > $o] :
( ( ( SV25
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) ) )
= $false )
| ( ( SV25
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV25 @ SX0 ) ) )
= $true ) ),
inference(sim,[status(thm)],[232]) ).
thf(247,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $true )
| ( ( SV1 @ ( s @ ( sK1_Xx @ SV1 ) ) )
= $false ) ),
inference(sim,[status(thm)],[91]) ).
thf(248,plain,
! [SV31: $i > $o] :
( ( ( SV31
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV31 @ SX0 ) ) )
= $false )
| ( ( SV31
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV31 @ SX0 ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[186]) ).
thf(249,plain,
! [SV34: $i > $o] :
( ( ( SV34
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV34 @ SX0 ) ) )
= $true )
| ( ( SV34
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV34 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[205]) ).
thf(250,plain,
! [SV37: $i > $o] :
( ( ( SV37
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) )
= $false )
| ( ( SV37
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV37 @ SX0 ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[218]) ).
thf(251,plain,
! [SV40: $i > $o] :
( ( ( SV40
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) )
= $true )
| ( ( SV40
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV40 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[229]) ).
thf(252,plain,
! [SV43: $i > $o] :
( ( ( SV43
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) )
= $false )
| ( ( SV43
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV43 @ SX0 ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[234]) ).
thf(253,plain,
! [SV47: $i,SV48: $i] :
( ( ( s @ ( c_star @ c2 @ SV48 ) )
= ( c_star @ c2 @ SV47 ) )
= $false ),
inference(rename,[status(thm)],[113]) ).
thf(255,plain,
! [SV50: $i] :
( ( ( ( s @ SV50 )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) )
= $true )
| ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true ) ),
inference(rename,[status(thm)],[27]) ).
thf(256,plain,
! [SV50: $i,SV47: $i,SV48: $i] :
( ( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= ( ( s @ ( c_star @ c2 @ SV48 ) )
= ( c_star @ c2 @ SV47 ) ) )
= $false )
| ( ( ( s @ SV50 )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) )
= $true ) ),
inference(res,[status(thm)],[255,253]) ).
thf(257,plain,
! [SV50: $i,SV47: $i,SV48: $i] :
( ( ( ( ( s @ SV50 )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) )
= ( ( s @ ( c_star @ c2 @ SV48 ) )
= ( c_star @ c2 @ SV47 ) ) )
= $false )
| ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true ) ),
inference(res,[status(thm)],[255,253]) ).
thf(259,plain,
! [SV48: $i,SV47: $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( s @ SV50 )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( c_star @ c2 @ ( sK3_Xv @ SV50 ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[257]) ).
thf(260,plain,
! [SV48: $i] :
( ( ( c_star @ c2 @ SV48 )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV48 ) ) ) )
= $true ),
inference(extuni,[status(esa)],[257:[bind(SV47,$thf( sK3_Xv @ ( c_star @ c2 @ SV48 ) )),bind(SV50,$thf( c_star @ c2 @ SV48 ))]]) ).
thf(261,plain,
! [SV47: $i,SV48: $i] :
( ( ( ( c_star @ c2 @ SV48 )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV48 ) ) ) )
= $true )
| ( ( ( c_star @ c2 @ ( sK3_Xv @ ( c_star @ c2 @ SV48 ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false ) ),
inference(extuni,[status(esa)],[257:[bind(SV50,$thf( c_star @ c2 @ SV48 ))]]) ).
thf(262,plain,
! [SV48: $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( s @ SV50 )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[257:[bind(SV47,$thf( sK3_Xv @ SV50 ))]]) ).
thf(263,plain,
! [SV48: $i,SV47: $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( c_star @ c2 @ ( sK3_Xv @ SV50 ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( s @ SV50 )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[257]) ).
thf(264,plain,
! [SV48: $i,SV47: $i] :
( ( ( ( s @ ( c_star @ c2 @ SV47 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( c_star @ c2 @ SV47 ) ) ) )
= $true )
| ( ( ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV47 ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[256:[bind(SV50,$thf( c_star @ c2 @ SV47 ))]]) ).
thf(265,plain,
! [SV48: $i] :
( ( ( s @ ( s @ ( c_star @ c2 @ SV48 ) ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV48 ) ) ) ) )
= $true ),
inference(extuni,[status(esa)],[256:[bind(SV47,$thf( sK2_Xu @ ( s @ ( c_star @ c2 @ SV48 ) ) )),bind(SV50,$thf( s @ ( c_star @ c2 @ SV48 ) ))]]) ).
thf(266,plain,
! [SV47: $i,SV48: $i] :
( ( ( ( s @ ( s @ ( c_star @ c2 @ SV48 ) ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV48 ) ) ) ) )
= $true )
| ( ( ( c_star @ c2 @ ( sK2_Xu @ ( s @ ( c_star @ c2 @ SV48 ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false ) ),
inference(extuni,[status(esa)],[256:[bind(SV50,$thf( s @ ( c_star @ c2 @ SV48 ) ))]]) ).
thf(267,plain,
! [SV51: $i] :
( ( ( c_star @ c2 @ SV51 )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) ) )
= $true ),
inference(rename,[status(thm)],[260]) ).
thf(268,plain,
! [SV51: $i,SV47: $i,SV48: $i] :
( ( ( ( c_star @ c2 @ SV51 )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) ) )
= ( ( s @ ( c_star @ c2 @ SV48 ) )
= ( c_star @ c2 @ SV47 ) ) )
= $false ),
inference(res,[status(thm)],[267,253]) ).
thf(269,plain,
! [SV48: $i,SV47: $i] :
( ( ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV47 ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ),
inference(extuni,[status(esa)],[268:[bind(SV51,$thf( SV47 ))]]) ).
thf(270,plain,
! [SV48: $i,SV47: $i,SV51: $i] :
( ( ( ( c_star @ c2 @ SV51 )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[268]) ).
thf(271,plain,
! [SV48: $i,SV51: $i] :
( ( ( c_star @ c2 @ SV51 )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ),
inference(extuni,[status(esa)],[268:[bind(SV47,$thf( sK2_Xu @ ( c_star @ c2 @ SV51 ) ))]]) ).
thf(272,plain,
! [SV48: $i,SV47: $i,SV51: $i] :
( ( ( ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( c_star @ c2 @ SV51 )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[268]) ).
thf(273,plain,
! [SV52: $i > $o] :
( ( ( SV52 @ ( sK1_Xx @ SV52 ) )
= $false )
| ( ( SV52 @ ( s @ ( sK1_Xx @ SV52 ) ) )
= $true ) ),
inference(rename,[status(thm)],[31]) ).
thf(276,plain,
! [SV52: $i > $o,SV51: $i] :
( ( ( ( SV52 @ ( sK1_Xx @ SV52 ) )
= ( ( c_star @ c2 @ SV51 )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) ) ) )
= $false )
| ( ( SV52 @ ( s @ ( sK1_Xx @ SV52 ) ) )
= $true ) ),
inference(res,[status(thm)],[273,267]) ).
thf(277,plain,
! [SV52: $i > $o,SV50: $i] :
( ( ( ( SV52 @ ( sK1_Xx @ SV52 ) )
= ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) ) )
= $false )
| ( ( SV52 @ ( s @ ( sK1_Xx @ SV52 ) ) )
= $true )
| ( ( ( s @ SV50 )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) )
= $true ) ),
inference(res,[status(thm)],[273,255]) ).
thf(278,plain,
! [SV52: $i > $o,SV50: $i] :
( ( ( ( SV52 @ ( sK1_Xx @ SV52 ) )
= ( ( s @ SV50 )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) ) )
= $false )
| ( ( SV52 @ ( s @ ( sK1_Xx @ SV52 ) ) )
= $true )
| ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true ) ),
inference(res,[status(thm)],[273,255]) ).
thf(279,plain,
! [SV52: $i > $o,SV47: $i,SV48: $i] :
( ( ( ( SV52 @ ( s @ ( sK1_Xx @ SV52 ) ) )
= ( ( s @ ( c_star @ c2 @ SV48 ) )
= ( c_star @ c2 @ SV47 ) ) )
= $false )
| ( ( SV52 @ ( sK1_Xx @ SV52 ) )
= $false ) ),
inference(res,[status(thm)],[273,253]) ).
thf(282,plain,
! [SV62: $i > $o] :
( ( ( ~ ( SV62
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV62 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV62
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV62 @ SX0 ) ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[273:[bind(SV52,$thf( ^ [SV61: $i] : ~ ( SV62 @ SV61 ) ))]]) ).
thf(284,plain,
! [SV59: $i > $o,SV58: $i > $o] :
( ( ( ( SV58
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV58 @ SX0 )
| ( SV59 @ SX0 ) ) ) )
| ( SV59
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV58 @ SX0 )
| ( SV59 @ SX0 ) ) ) ) )
= $false )
| ( ( ( SV58
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV58 @ SX0 )
| ( SV59 @ SX0 ) ) ) ) )
| ( SV59
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV58 @ SX0 )
| ( SV59 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[273:[bind(SV52,$thf( ^ [SV57: $i] : ( ( SV58 @ SV57 ) | ( SV59 @ SV57 ) ) ))]]) ).
thf(288,plain,
! [SV74: $i > $o] :
( ( ( ~ ( SV74
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV74 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV74
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV74 @ SX0 ) ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[273:[bind(SV52,$thf( ^ [SV73: $i] : ~ ( SV74 @ SV73 ) ))]]) ).
thf(290,plain,
! [SV71: $i > $o,SV70: $i > $o] :
( ( ( ( SV70
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV70 @ SX0 )
| ( SV71 @ SX0 ) ) ) )
| ( SV71
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV70 @ SX0 )
| ( SV71 @ SX0 ) ) ) ) )
= $false )
| ( ( ( SV70
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV70 @ SX0 )
| ( SV71 @ SX0 ) ) ) ) )
| ( SV71
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV70 @ SX0 )
| ( SV71 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[273:[bind(SV52,$thf( ^ [SV69: $i] : ( ( SV70 @ SV69 ) | ( SV71 @ SV69 ) ) ))]]) ).
thf(292,plain,
! [SV52: $i > $o] :
( ( ( SV52 @ ( sK1_Xx @ SV52 ) )
= $false )
| ( ( ( SV52 @ ( sK1_Xx @ SV52 ) )
= ( ~ ( SV52 @ ( s @ ( sK1_Xx @ SV52 ) ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[273]) ).
thf(293,plain,
! [SV47: $i,SV99: $i > $i,SV117: $i > $i,SV116: $i > $i] :
( ( ( ( c_star
@ ( SV116
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV116 @ SX0 ) @ ( SV117 @ SX0 ) )
= ( s @ ( c_star @ SX0 @ ( SV99 @ SX0 ) ) ) ) ) )
@ ( SV117
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV116 @ SX0 ) @ ( SV117 @ SX0 ) )
= ( s @ ( c_star @ SX0 @ ( SV99 @ SX0 ) ) ) ) ) ) )
= ( s
@ ( c_star
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV116 @ SX0 ) @ ( SV117 @ SX0 ) )
= ( s @ ( c_star @ SX0 @ ( SV99 @ SX0 ) ) ) ) )
@ ( SV99
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV116 @ SX0 ) @ ( SV117 @ SX0 ) )
= ( s @ ( c_star @ SX0 @ ( SV99 @ SX0 ) ) ) ) ) ) ) ) )
= $false )
| ( ( ( c_star
@ ( SV116
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV116 @ SX0 ) @ ( SV117 @ SX0 ) )
= ( s @ ( c_star @ SX0 @ ( SV99 @ SX0 ) ) ) ) ) ) )
@ ( SV117
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV116 @ SX0 ) @ ( SV117 @ SX0 ) )
= ( s @ ( c_star @ SX0 @ ( SV99 @ SX0 ) ) ) ) ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV116 @ SX0 ) @ ( SV117 @ SX0 ) )
= ( s @ ( c_star @ SX0 @ ( SV99 @ SX0 ) ) ) ) ) )
= c2 )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV48,$thf( SV99 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ ( SV116 @ SX0 ) @ ( SV117 @ SX0 ) ) = ( s @ ( c_star @ SX0 @ ( SV99 @ SX0 ) ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ ( SV116 @ SX0 ) @ ( SV117 @ SX0 ) ) = ( s @ ( c_star @ SX0 @ ( SV99 @ SX0 ) ) ) ) ))]]) ).
thf(294,plain,
! [SV47: $i,SV99: $i > $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( c_star @ SX0 @ ( SV99 @ SX0 ) ) ) ) )
= ( s
@ ( c_star
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( c_star @ SX0 @ ( SV99 @ SX0 ) ) ) ) )
@ ( SV99
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( c_star @ SX0 @ ( SV99 @ SX0 ) ) ) ) ) ) ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( c_star @ SX0 @ ( SV99 @ SX0 ) ) ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( c_star @ SX0 @ ( SV99 @ SX0 ) ) ) ) ) )
= c2 )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV48,$thf( SV99 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( SX0 = ( s @ ( c_star @ SX0 @ ( SV99 @ SX0 ) ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( s @ ( c_star @ SX0 @ ( SV99 @ SX0 ) ) ) ) ))]]) ).
thf(295,plain,
! [SV47: $i,SV99: $i > $i,SV111: $i > $i,SV110: $i > $i] :
( ( ( ( c_star
@ ( SV110
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) )
= ( s @ ( c_star @ c2 @ ( SV99 @ SX0 ) ) ) ) ) )
@ ( SV111
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) )
= ( s @ ( c_star @ c2 @ ( SV99 @ SX0 ) ) ) ) ) ) )
= ( s
@ ( c_star @ c2
@ ( SV99
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) )
= ( s @ ( c_star @ c2 @ ( SV99 @ SX0 ) ) ) ) ) ) ) ) )
= $false )
| ( ( ( c_star
@ ( SV110
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) )
= ( s @ ( c_star @ c2 @ ( SV99 @ SX0 ) ) ) ) ) ) )
@ ( SV111
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) )
= ( s @ ( c_star @ c2 @ ( SV99 @ SX0 ) ) ) ) ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV48,$thf( SV99 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) = ( s @ ( c_star @ c2 @ ( SV99 @ SX0 ) ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ ( SV110 @ SX0 ) @ ( SV111 @ SX0 ) ) = ( s @ ( c_star @ c2 @ ( SV99 @ SX0 ) ) ) ) ))]]) ).
thf(296,plain,
! [SV47: $i,SV99: $i > $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( c_star @ c2 @ ( SV99 @ SX0 ) ) ) ) )
= ( s
@ ( c_star @ c2
@ ( SV99
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( c_star @ c2 @ ( SV99 @ SX0 ) ) ) ) ) ) ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( c_star @ c2 @ ( SV99 @ SX0 ) ) ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV48,$thf( SV99 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( SX0 = ( s @ ( c_star @ c2 @ ( SV99 @ SX0 ) ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( s @ ( c_star @ c2 @ ( SV99 @ SX0 ) ) ) ) ))]]) ).
thf(297,plain,
! [SV48: $i,SV99: $i > $i,SV98: $i > $i,SV123: $i > $i] :
( ( ( ( c_star
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV123 @ SX0 ) )
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) )
@ ( SV123
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV123 @ SX0 ) )
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) ) )
= ( s
@ ( c_star
@ ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV123 @ SX0 ) )
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) )
@ ( SV99
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV123 @ SX0 ) )
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) ) ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV123 @ SX0 ) )
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) )
= c2 )
= $false )
| ( ( ( c_star
@ ( SV98
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV123 @ SX0 ) )
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) ) )
@ ( SV99
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV123 @ SX0 ) )
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) ) ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV47,$thf( SV123 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ SX0 @ ( SV123 @ SX0 ) ) = ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ ( SV123 @ SX0 ) ) = ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ))]]) ).
thf(298,plain,
! [SV48: $i,SV99: $i > $i,SV98: $i > $i,SV123: $i > $i] :
( ( ( ( c_star @ c2
@ ( SV123
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV123 @ SX0 ) )
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) ) )
= ( s
@ ( c_star
@ ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV123 @ SX0 ) )
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) )
@ ( SV99
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV123 @ SX0 ) )
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) ) ) ) )
= $false )
| ( ( ( c_star
@ ( SV98
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV123 @ SX0 ) )
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) ) )
@ ( SV99
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV123 @ SX0 ) )
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) ) ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV47,$thf( SV123 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ c2 @ ( SV123 @ SX0 ) ) = ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ ( SV123 @ SX0 ) ) = ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ))]]) ).
thf(299,plain,
! [SV48: $i,SV47: $i,SV99: $i > $i,SV98: $i > $i,SV123: $i > $i,SV122: $i > $i] :
( ( ( ( c_star
@ ( SV122
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV122 @ SX0 ) @ ( SV123 @ SX0 ) )
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) )
@ ( SV123
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV122 @ SX0 ) @ ( SV123 @ SX0 ) )
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) ) )
= ( s
@ ( c_star
@ ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV122 @ SX0 ) @ ( SV123 @ SX0 ) )
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) )
@ ( SV99
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV122 @ SX0 ) @ ( SV123 @ SX0 ) )
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) ) ) ) )
= $false )
| ( ( ( c_star
@ ( SV122
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV122 @ SX0 ) @ ( SV123 @ SX0 ) )
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) ) )
@ ( SV123
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV122 @ SX0 ) @ ( SV123 @ SX0 ) )
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( c_star
@ ( SV98
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV122 @ SX0 ) @ ( SV123 @ SX0 ) )
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) ) )
@ ( SV99
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV122 @ SX0 ) @ ( SV123 @ SX0 ) )
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) ) ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ ( SV122 @ SX0 ) @ ( SV123 @ SX0 ) ) = ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ))]]) ).
thf(300,plain,
! [SV48: $i,SV47: $i,SV99: $i > $i,SV98: $i > $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) )
= ( s
@ ( c_star
@ ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) )
@ ( SV99
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) ) ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( c_star
@ ( SV98
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) ) )
@ ( SV99
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ) ) ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( s @ ( c_star @ ( SV98 @ SX0 ) @ ( SV99 @ SX0 ) ) ) ) ))]]) ).
thf(301,plain,
! [SV48: $i,SV103: $i > $i] :
( ( ( ( c_star
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV103 @ SX0 ) )
= ( s @ SX0 ) ) )
@ ( SV103
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV103 @ SX0 ) )
= ( s @ SX0 ) ) ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV103 @ SX0 ) )
= ( s @ SX0 ) ) ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV103 @ SX0 ) )
= ( s @ SX0 ) ) ) )
= c2 )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV103 @ SX0 ) )
= ( s @ SX0 ) ) ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV47,$thf( SV103 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ SX0 @ ( SV103 @ SX0 ) ) = ( s @ SX0 ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ ( SV103 @ SX0 ) ) = ( s @ SX0 ) ) ))]]) ).
thf(302,plain,
! [SV48: $i,SV103: $i > $i] :
( ( ( ( c_star @ c2
@ ( SV103
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV103 @ SX0 ) )
= ( s @ SX0 ) ) ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV103 @ SX0 ) )
= ( s @ SX0 ) ) ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV103 @ SX0 ) )
= ( s @ SX0 ) ) ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV47,$thf( SV103 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ c2 @ ( SV103 @ SX0 ) ) = ( s @ SX0 ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ ( SV103 @ SX0 ) ) = ( s @ SX0 ) ) ))]]) ).
thf(303,plain,
! [SV48: $i,SV47: $i,SV103: $i > $i,SV102: $i > $i] :
( ( ( ( c_star
@ ( SV102
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV102 @ SX0 ) @ ( SV103 @ SX0 ) )
= ( s @ SX0 ) ) ) )
@ ( SV103
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV102 @ SX0 ) @ ( SV103 @ SX0 ) )
= ( s @ SX0 ) ) ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV102 @ SX0 ) @ ( SV103 @ SX0 ) )
= ( s @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_star
@ ( SV102
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV102 @ SX0 ) @ ( SV103 @ SX0 ) )
= ( s @ SX0 ) ) ) ) )
@ ( SV103
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV102 @ SX0 ) @ ( SV103 @ SX0 ) )
= ( s @ SX0 ) ) ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV102 @ SX0 ) @ ( SV103 @ SX0 ) )
= ( s @ SX0 ) ) ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ ( SV102 @ SX0 ) @ ( SV103 @ SX0 ) ) = ( s @ SX0 ) ) ))]]) ).
thf(304,plain,
! [SV48: $i,SV47: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ SX0 ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ SX0 ) ) ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ SX0 ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ SX0 ) ) ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( s @ SX0 ) ) ))]]) ).
thf(305,plain,
! [SV48: $i,SV83: $i > $i,SV129: $i > $i] :
( ( ( ( c_star
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV129 @ SX0 ) )
= ( s @ ( SV83 @ SX0 ) ) ) )
@ ( SV129
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV129 @ SX0 ) )
= ( s @ ( SV83 @ SX0 ) ) ) ) ) )
= ( s
@ ( SV83
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV129 @ SX0 ) )
= ( s @ ( SV83 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV129 @ SX0 ) )
= ( s @ ( SV83 @ SX0 ) ) ) ) )
= c2 )
= $false )
| ( ( ( s
@ ( SV83
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV129 @ SX0 ) )
= ( s @ ( SV83 @ SX0 ) ) ) ) ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV47,$thf( SV129 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ SX0 @ ( SV129 @ SX0 ) ) = ( s @ ( SV83 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ ( SV129 @ SX0 ) ) = ( s @ ( SV83 @ SX0 ) ) ) ))]]) ).
thf(306,plain,
! [SV48: $i,SV83: $i > $i,SV129: $i > $i] :
( ( ( ( c_star @ c2
@ ( SV129
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV129 @ SX0 ) )
= ( s @ ( SV83 @ SX0 ) ) ) ) ) )
= ( s
@ ( SV83
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV129 @ SX0 ) )
= ( s @ ( SV83 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( s
@ ( SV83
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV129 @ SX0 ) )
= ( s @ ( SV83 @ SX0 ) ) ) ) ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV47,$thf( SV129 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ c2 @ ( SV129 @ SX0 ) ) = ( s @ ( SV83 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ ( SV129 @ SX0 ) ) = ( s @ ( SV83 @ SX0 ) ) ) ))]]) ).
thf(307,plain,
! [SV48: $i,SV47: $i,SV83: $i > $i,SV129: $i > $i,SV128: $i > $i] :
( ( ( ( c_star
@ ( SV128
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV128 @ SX0 ) @ ( SV129 @ SX0 ) )
= ( s @ ( SV83 @ SX0 ) ) ) ) )
@ ( SV129
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV128 @ SX0 ) @ ( SV129 @ SX0 ) )
= ( s @ ( SV83 @ SX0 ) ) ) ) ) )
= ( s
@ ( SV83
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV128 @ SX0 ) @ ( SV129 @ SX0 ) )
= ( s @ ( SV83 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_star
@ ( SV128
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV128 @ SX0 ) @ ( SV129 @ SX0 ) )
= ( s @ ( SV83 @ SX0 ) ) ) ) ) )
@ ( SV129
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV128 @ SX0 ) @ ( SV129 @ SX0 ) )
= ( s @ ( SV83 @ SX0 ) ) ) ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( s
@ ( SV83
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV128 @ SX0 ) @ ( SV129 @ SX0 ) )
= ( s @ ( SV83 @ SX0 ) ) ) ) ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ ( SV128 @ SX0 ) @ ( SV129 @ SX0 ) ) = ( s @ ( SV83 @ SX0 ) ) ) ))]]) ).
thf(308,plain,
! [SV48: $i,SV47: $i,SV83: $i > $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( SV83 @ SX0 ) ) ) )
= ( s
@ ( SV83
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( SV83 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( SV83 @ SX0 ) ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( s
@ ( SV83
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( SV83 @ SX0 ) ) ) ) ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( s @ ( SV83 @ SX0 ) ) ) ))]]) ).
thf(309,plain,
! [SV48: $i,SV87: $i > $i] :
( ( ( ( c_star
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV87 @ SX0 ) )
= SX0 ) )
@ ( SV87
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV87 @ SX0 ) )
= SX0 ) ) ) )
= ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV87 @ SX0 ) )
= SX0 ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV87 @ SX0 ) )
= SX0 ) ) )
= c2 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV87 @ SX0 ) )
= SX0 ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV47,$thf( SV87 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ SX0 @ ( SV87 @ SX0 ) ) = SX0 ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ ( SV87 @ SX0 ) ) = SX0 ) ))]]) ).
thf(310,plain,
! [SV48: $i,SV87: $i > $i] :
( ( ( ( c_star @ c2
@ ( SV87
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV87 @ SX0 ) )
= SX0 ) ) ) )
= ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV87 @ SX0 ) )
= SX0 ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV87 @ SX0 ) )
= SX0 ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV47,$thf( SV87 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ c2 @ ( SV87 @ SX0 ) ) = SX0 ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ ( SV87 @ SX0 ) ) = SX0 ) ))]]) ).
thf(311,plain,
! [SV48: $i,SV47: $i,SV87: $i > $i,SV86: $i > $i] :
( ( ( ( c_star
@ ( SV86
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV86 @ SX0 ) @ ( SV87 @ SX0 ) )
= SX0 ) ) )
@ ( SV87
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV86 @ SX0 ) @ ( SV87 @ SX0 ) )
= SX0 ) ) ) )
= ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV86 @ SX0 ) @ ( SV87 @ SX0 ) )
= SX0 ) ) )
= $false )
| ( ( ( c_star
@ ( SV86
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV86 @ SX0 ) @ ( SV87 @ SX0 ) )
= SX0 ) ) ) )
@ ( SV87
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV86 @ SX0 ) @ ( SV87 @ SX0 ) )
= SX0 ) ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV86 @ SX0 ) @ ( SV87 @ SX0 ) )
= SX0 ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ ( SV86 @ SX0 ) @ ( SV87 @ SX0 ) ) = SX0 ) ))]]) ).
thf(312,plain,
! [SV48: $i,SV47: $i] :
( ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = SX0 ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = SX0 ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = SX0 ) ))]]) ).
thf(313,plain,
! [SV48: $i,SV93: $i > $i] :
( ( ( ( c_star
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV93 @ SX0 ) )
= SX0 ) )
@ ( SV93
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV93 @ SX0 ) )
= SX0 ) ) ) )
= ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV93 @ SX0 ) )
= SX0 ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV93 @ SX0 ) )
= SX0 ) ) )
= c2 )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV93 @ SX0 ) )
= SX0 ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV47,$thf( SV93 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ SX0 @ ( SV93 @ SX0 ) ) = SX0 ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ ( SV93 @ SX0 ) ) = SX0 ) ))]]) ).
thf(314,plain,
! [SV48: $i,SV93: $i > $i] :
( ( ( ( c_star @ c2
@ ( SV93
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV93 @ SX0 ) )
= SX0 ) ) ) )
= ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV93 @ SX0 ) )
= SX0 ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV93 @ SX0 ) )
= SX0 ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV47,$thf( SV93 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ c2 @ ( SV93 @ SX0 ) ) = SX0 ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ ( SV93 @ SX0 ) ) = SX0 ) ))]]) ).
thf(315,plain,
! [SV48: $i,SV47: $i,SV93: $i > $i,SV92: $i > $i] :
( ( ( ( c_star
@ ( SV92
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV92 @ SX0 ) @ ( SV93 @ SX0 ) )
= SX0 ) ) )
@ ( SV93
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV92 @ SX0 ) @ ( SV93 @ SX0 ) )
= SX0 ) ) ) )
= ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV92 @ SX0 ) @ ( SV93 @ SX0 ) )
= SX0 ) ) )
= $false )
| ( ( ( c_star
@ ( SV92
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV92 @ SX0 ) @ ( SV93 @ SX0 ) )
= SX0 ) ) ) )
@ ( SV93
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV92 @ SX0 ) @ ( SV93 @ SX0 ) )
= SX0 ) ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV92 @ SX0 ) @ ( SV93 @ SX0 ) )
= SX0 ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ ( SV92 @ SX0 ) @ ( SV93 @ SX0 ) ) = SX0 ) ))]]) ).
thf(316,plain,
! [SV48: $i,SV47: $i] :
( ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = SX0 ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = SX0 ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = SX0 ) ))]]) ).
thf(317,plain,
! [SV47: $i,SV168: $i > $i,SV167: $i > $i,SV150: $i > $i] :
( ( ( ( s
@ ( c_star
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ SX0 @ ( SV150 @ SX0 ) ) )
= ( c_star @ ( SV167 @ SX0 ) @ ( SV168 @ SX0 ) ) ) )
@ ( SV150
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ SX0 @ ( SV150 @ SX0 ) ) )
= ( c_star @ ( SV167 @ SX0 ) @ ( SV168 @ SX0 ) ) ) ) ) ) )
= ( c_star
@ ( SV167
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ SX0 @ ( SV150 @ SX0 ) ) )
= ( c_star @ ( SV167 @ SX0 ) @ ( SV168 @ SX0 ) ) ) ) )
@ ( SV168
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ SX0 @ ( SV150 @ SX0 ) ) )
= ( c_star @ ( SV167 @ SX0 ) @ ( SV168 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_star
@ ( SV167
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ SX0 @ ( SV150 @ SX0 ) ) )
= ( c_star @ ( SV167 @ SX0 ) @ ( SV168 @ SX0 ) ) ) ) ) )
@ ( SV168
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ SX0 @ ( SV150 @ SX0 ) ) )
= ( c_star @ ( SV167 @ SX0 ) @ ( SV168 @ SX0 ) ) ) ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ SX0 @ ( SV150 @ SX0 ) ) )
= ( c_star @ ( SV167 @ SX0 ) @ ( SV168 @ SX0 ) ) ) ) )
= c2 )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV48,$thf( SV150 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( s @ ( c_star @ SX0 @ ( SV150 @ SX0 ) ) ) = ( c_star @ ( SV167 @ SX0 ) @ ( SV168 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( c_star @ SX0 @ ( SV150 @ SX0 ) ) ) = ( c_star @ ( SV167 @ SX0 ) @ ( SV168 @ SX0 ) ) ) ))]]) ).
thf(318,plain,
! [SV47: $i,SV150: $i > $i] :
( ( ( ( s
@ ( c_star
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ SX0 @ ( SV150 @ SX0 ) ) )
= SX0 ) )
@ ( SV150
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ SX0 @ ( SV150 @ SX0 ) ) )
= SX0 ) ) ) ) )
= ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ SX0 @ ( SV150 @ SX0 ) ) )
= SX0 ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ SX0 @ ( SV150 @ SX0 ) ) )
= SX0 ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ SX0 @ ( SV150 @ SX0 ) ) )
= SX0 ) ) )
= c2 )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV48,$thf( SV150 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( s @ ( c_star @ SX0 @ ( SV150 @ SX0 ) ) ) = SX0 ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( c_star @ SX0 @ ( SV150 @ SX0 ) ) ) = SX0 ) ))]]) ).
thf(319,plain,
! [SV47: $i,SV162: $i > $i,SV161: $i > $i,SV150: $i > $i] :
( ( ( ( s
@ ( c_star @ c2
@ ( SV150
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ c2 @ ( SV150 @ SX0 ) ) )
= ( c_star @ ( SV161 @ SX0 ) @ ( SV162 @ SX0 ) ) ) ) ) ) )
= ( c_star
@ ( SV161
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ c2 @ ( SV150 @ SX0 ) ) )
= ( c_star @ ( SV161 @ SX0 ) @ ( SV162 @ SX0 ) ) ) ) )
@ ( SV162
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ c2 @ ( SV150 @ SX0 ) ) )
= ( c_star @ ( SV161 @ SX0 ) @ ( SV162 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_star
@ ( SV161
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ c2 @ ( SV150 @ SX0 ) ) )
= ( c_star @ ( SV161 @ SX0 ) @ ( SV162 @ SX0 ) ) ) ) ) )
@ ( SV162
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ c2 @ ( SV150 @ SX0 ) ) )
= ( c_star @ ( SV161 @ SX0 ) @ ( SV162 @ SX0 ) ) ) ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV48,$thf( SV150 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( s @ ( c_star @ c2 @ ( SV150 @ SX0 ) ) ) = ( c_star @ ( SV161 @ SX0 ) @ ( SV162 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( c_star @ c2 @ ( SV150 @ SX0 ) ) ) = ( c_star @ ( SV161 @ SX0 ) @ ( SV162 @ SX0 ) ) ) ))]]) ).
thf(320,plain,
! [SV47: $i,SV150: $i > $i] :
( ( ( ( s
@ ( c_star @ c2
@ ( SV150
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ c2 @ ( SV150 @ SX0 ) ) )
= SX0 ) ) ) ) )
= ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ c2 @ ( SV150 @ SX0 ) ) )
= SX0 ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ c2 @ ( SV150 @ SX0 ) ) )
= SX0 ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV48,$thf( SV150 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( s @ ( c_star @ c2 @ ( SV150 @ SX0 ) ) ) = SX0 ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( c_star @ c2 @ ( SV150 @ SX0 ) ) ) = SX0 ) ))]]) ).
thf(321,plain,
! [SV48: $i,SV174: $i > $i,SV150: $i > $i,SV149: $i > $i] :
( ( ( ( s
@ ( c_star
@ ( SV149
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= ( c_star @ SX0 @ ( SV174 @ SX0 ) ) ) ) )
@ ( SV150
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= ( c_star @ SX0 @ ( SV174 @ SX0 ) ) ) ) ) ) )
= ( c_star
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= ( c_star @ SX0 @ ( SV174 @ SX0 ) ) ) )
@ ( SV174
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= ( c_star @ SX0 @ ( SV174 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= ( c_star @ SX0 @ ( SV174 @ SX0 ) ) ) ) )
= c2 )
= $false )
| ( ( ( c_star
@ ( SV149
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= ( c_star @ SX0 @ ( SV174 @ SX0 ) ) ) ) ) )
@ ( SV150
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= ( c_star @ SX0 @ ( SV174 @ SX0 ) ) ) ) ) ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV47,$thf( SV174 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) ) = ( c_star @ SX0 @ ( SV174 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) ) = ( c_star @ SX0 @ ( SV174 @ SX0 ) ) ) ))]]) ).
thf(322,plain,
! [SV48: $i,SV174: $i > $i,SV150: $i > $i,SV149: $i > $i] :
( ( ( ( s
@ ( c_star
@ ( SV149
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= ( c_star @ c2 @ ( SV174 @ SX0 ) ) ) ) )
@ ( SV150
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= ( c_star @ c2 @ ( SV174 @ SX0 ) ) ) ) ) ) )
= ( c_star @ c2
@ ( SV174
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= ( c_star @ c2 @ ( SV174 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_star
@ ( SV149
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= ( c_star @ c2 @ ( SV174 @ SX0 ) ) ) ) ) )
@ ( SV150
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= ( c_star @ c2 @ ( SV174 @ SX0 ) ) ) ) ) ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV47,$thf( SV174 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) ) = ( c_star @ c2 @ ( SV174 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) ) = ( c_star @ c2 @ ( SV174 @ SX0 ) ) ) ))]]) ).
thf(323,plain,
! [SV48: $i,SV47: $i,SV174: $i > $i,SV173: $i > $i,SV150: $i > $i,SV149: $i > $i] :
( ( ( ( s
@ ( c_star
@ ( SV149
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= ( c_star @ ( SV173 @ SX0 ) @ ( SV174 @ SX0 ) ) ) ) )
@ ( SV150
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= ( c_star @ ( SV173 @ SX0 ) @ ( SV174 @ SX0 ) ) ) ) ) ) )
= ( c_star
@ ( SV173
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= ( c_star @ ( SV173 @ SX0 ) @ ( SV174 @ SX0 ) ) ) ) )
@ ( SV174
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= ( c_star @ ( SV173 @ SX0 ) @ ( SV174 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_star
@ ( SV173
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= ( c_star @ ( SV173 @ SX0 ) @ ( SV174 @ SX0 ) ) ) ) ) )
@ ( SV174
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= ( c_star @ ( SV173 @ SX0 ) @ ( SV174 @ SX0 ) ) ) ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( c_star
@ ( SV149
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= ( c_star @ ( SV173 @ SX0 ) @ ( SV174 @ SX0 ) ) ) ) ) )
@ ( SV150
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= ( c_star @ ( SV173 @ SX0 ) @ ( SV174 @ SX0 ) ) ) ) ) ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) ) = ( c_star @ ( SV173 @ SX0 ) @ ( SV174 @ SX0 ) ) ) ))]]) ).
thf(324,plain,
! [SV48: $i,SV47: $i,SV150: $i > $i,SV149: $i > $i] :
( ( ( ( s
@ ( c_star
@ ( SV149
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= SX0 ) ) )
@ ( SV150
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= SX0 ) ) ) ) )
= ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= SX0 ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= SX0 ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( c_star
@ ( SV149
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= SX0 ) ) ) )
@ ( SV150
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) )
= SX0 ) ) ) ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( c_star @ ( SV149 @ SX0 ) @ ( SV150 @ SX0 ) ) ) = SX0 ) ))]]) ).
thf(325,plain,
! [SV48: $i,SV154: $i > $i] :
( ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ SX0 )
= ( c_star @ SX0 @ ( SV154 @ SX0 ) ) ) ) )
= ( c_star
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ SX0 )
= ( c_star @ SX0 @ ( SV154 @ SX0 ) ) ) )
@ ( SV154
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ SX0 )
= ( c_star @ SX0 @ ( SV154 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ SX0 )
= ( c_star @ SX0 @ ( SV154 @ SX0 ) ) ) ) )
= c2 )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ SX0 )
= ( c_star @ SX0 @ ( SV154 @ SX0 ) ) ) ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV47,$thf( SV154 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( s @ SX0 ) = ( c_star @ SX0 @ ( SV154 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ SX0 ) = ( c_star @ SX0 @ ( SV154 @ SX0 ) ) ) ))]]) ).
thf(326,plain,
! [SV48: $i,SV154: $i > $i] :
( ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ SX0 )
= ( c_star @ c2 @ ( SV154 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( SV154
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ SX0 )
= ( c_star @ c2 @ ( SV154 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ SX0 )
= ( c_star @ c2 @ ( SV154 @ SX0 ) ) ) ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV47,$thf( SV154 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( s @ SX0 ) = ( c_star @ c2 @ ( SV154 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ SX0 ) = ( c_star @ c2 @ ( SV154 @ SX0 ) ) ) ))]]) ).
thf(327,plain,
! [SV48: $i,SV47: $i,SV154: $i > $i,SV153: $i > $i] :
( ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ SX0 )
= ( c_star @ ( SV153 @ SX0 ) @ ( SV154 @ SX0 ) ) ) ) )
= ( c_star
@ ( SV153
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ SX0 )
= ( c_star @ ( SV153 @ SX0 ) @ ( SV154 @ SX0 ) ) ) ) )
@ ( SV154
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ SX0 )
= ( c_star @ ( SV153 @ SX0 ) @ ( SV154 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_star
@ ( SV153
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ SX0 )
= ( c_star @ ( SV153 @ SX0 ) @ ( SV154 @ SX0 ) ) ) ) ) )
@ ( SV154
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ SX0 )
= ( c_star @ ( SV153 @ SX0 ) @ ( SV154 @ SX0 ) ) ) ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ SX0 )
= ( c_star @ ( SV153 @ SX0 ) @ ( SV154 @ SX0 ) ) ) ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ SX0 ) = ( c_star @ ( SV153 @ SX0 ) @ ( SV154 @ SX0 ) ) ) ))]]) ).
thf(328,plain,
! [SV48: $i,SV47: $i] :
( ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ SX0 )
= SX0 ) ) )
= ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ SX0 )
= SX0 ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ SX0 )
= SX0 ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ SX0 )
= SX0 ) ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ SX0 ) = SX0 ) ))]]) ).
thf(329,plain,
! [SV48: $i,SV180: $i > $i,SV134: $i > $i] :
( ( ( ( s
@ ( SV134
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV134 @ SX0 ) )
= ( c_star @ SX0 @ ( SV180 @ SX0 ) ) ) ) ) )
= ( c_star
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV134 @ SX0 ) )
= ( c_star @ SX0 @ ( SV180 @ SX0 ) ) ) )
@ ( SV180
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV134 @ SX0 ) )
= ( c_star @ SX0 @ ( SV180 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV134 @ SX0 ) )
= ( c_star @ SX0 @ ( SV180 @ SX0 ) ) ) ) )
= c2 )
= $false )
| ( ( ( s
@ ( SV134
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV134 @ SX0 ) )
= ( c_star @ SX0 @ ( SV180 @ SX0 ) ) ) ) ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV47,$thf( SV180 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( s @ ( SV134 @ SX0 ) ) = ( c_star @ SX0 @ ( SV180 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( SV134 @ SX0 ) ) = ( c_star @ SX0 @ ( SV180 @ SX0 ) ) ) ))]]) ).
thf(330,plain,
! [SV48: $i,SV180: $i > $i,SV134: $i > $i] :
( ( ( ( s
@ ( SV134
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV134 @ SX0 ) )
= ( c_star @ c2 @ ( SV180 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( SV180
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV134 @ SX0 ) )
= ( c_star @ c2 @ ( SV180 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( s
@ ( SV134
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV134 @ SX0 ) )
= ( c_star @ c2 @ ( SV180 @ SX0 ) ) ) ) ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV47,$thf( SV180 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( ( s @ ( SV134 @ SX0 ) ) = ( c_star @ c2 @ ( SV180 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( SV134 @ SX0 ) ) = ( c_star @ c2 @ ( SV180 @ SX0 ) ) ) ))]]) ).
thf(331,plain,
! [SV48: $i,SV47: $i,SV180: $i > $i,SV179: $i > $i,SV134: $i > $i] :
( ( ( ( s
@ ( SV134
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV134 @ SX0 ) )
= ( c_star @ ( SV179 @ SX0 ) @ ( SV180 @ SX0 ) ) ) ) ) )
= ( c_star
@ ( SV179
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV134 @ SX0 ) )
= ( c_star @ ( SV179 @ SX0 ) @ ( SV180 @ SX0 ) ) ) ) )
@ ( SV180
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV134 @ SX0 ) )
= ( c_star @ ( SV179 @ SX0 ) @ ( SV180 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_star
@ ( SV179
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV134 @ SX0 ) )
= ( c_star @ ( SV179 @ SX0 ) @ ( SV180 @ SX0 ) ) ) ) ) )
@ ( SV180
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV134 @ SX0 ) )
= ( c_star @ ( SV179 @ SX0 ) @ ( SV180 @ SX0 ) ) ) ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( s
@ ( SV134
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV134 @ SX0 ) )
= ( c_star @ ( SV179 @ SX0 ) @ ( SV180 @ SX0 ) ) ) ) ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( SV134 @ SX0 ) ) = ( c_star @ ( SV179 @ SX0 ) @ ( SV180 @ SX0 ) ) ) ))]]) ).
thf(332,plain,
! [SV48: $i,SV47: $i,SV134: $i > $i] :
( ( ( ( s
@ ( SV134
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV134 @ SX0 ) )
= SX0 ) ) ) )
= ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV134 @ SX0 ) )
= SX0 ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV134 @ SX0 ) )
= SX0 ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( s
@ ( SV134
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV134 @ SX0 ) )
= SX0 ) ) ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( SV134 @ SX0 ) ) = SX0 ) ))]]) ).
thf(333,plain,
! [SV48: $i,SV138: $i > $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( SV138 @ SX0 ) ) ) )
= ( c_star
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( SV138 @ SX0 ) ) ) )
@ ( SV138
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( SV138 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( SV138 @ SX0 ) ) ) ) )
= c2 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( SV138 @ SX0 ) ) ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV47,$thf( SV138 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( SX0 = ( c_star @ SX0 @ ( SV138 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( c_star @ SX0 @ ( SV138 @ SX0 ) ) ) ))]]) ).
thf(334,plain,
! [SV48: $i,SV138: $i > $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( SV138 @ SX0 ) ) ) )
= ( c_star @ c2
@ ( SV138
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( SV138 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( SV138 @ SX0 ) ) ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV47,$thf( SV138 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( SX0 = ( c_star @ c2 @ ( SV138 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( c_star @ c2 @ ( SV138 @ SX0 ) ) ) ))]]) ).
thf(335,plain,
! [SV48: $i,SV47: $i,SV138: $i > $i,SV137: $i > $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV137 @ SX0 ) @ ( SV138 @ SX0 ) ) ) )
= ( c_star
@ ( SV137
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV137 @ SX0 ) @ ( SV138 @ SX0 ) ) ) ) )
@ ( SV138
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV137 @ SX0 ) @ ( SV138 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_star
@ ( SV137
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV137 @ SX0 ) @ ( SV138 @ SX0 ) ) ) ) ) )
@ ( SV138
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV137 @ SX0 ) @ ( SV138 @ SX0 ) ) ) ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV137 @ SX0 ) @ ( SV138 @ SX0 ) ) ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( c_star @ ( SV137 @ SX0 ) @ ( SV138 @ SX0 ) ) ) ))]]) ).
thf(336,plain,
! [SV48: $i,SV47: $i] :
( ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = SX0 ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = SX0 ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = SX0 ) ))]]) ).
thf(337,plain,
! [SV48: $i,SV144: $i > $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( SV144 @ SX0 ) ) ) )
= ( c_star
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( SV144 @ SX0 ) ) ) )
@ ( SV144
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( SV144 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( SV144 @ SX0 ) ) ) ) )
= c2 )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( SV144 @ SX0 ) ) ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV47,$thf( SV144 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( SX0 = ( c_star @ SX0 @ ( SV144 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( c_star @ SX0 @ ( SV144 @ SX0 ) ) ) ))]]) ).
thf(338,plain,
! [SV48: $i,SV144: $i > $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( SV144 @ SX0 ) ) ) )
= ( c_star @ c2
@ ( SV144
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( SV144 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( SV144 @ SX0 ) ) ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV47,$thf( SV144 @ ( s @ ( sK1_Xx @ ^ [SX0: $i] : ( SX0 = ( c_star @ c2 @ ( SV144 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( c_star @ c2 @ ( SV144 @ SX0 ) ) ) ))]]) ).
thf(339,plain,
! [SV48: $i,SV47: $i,SV144: $i > $i,SV143: $i > $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV143 @ SX0 ) @ ( SV144 @ SX0 ) ) ) )
= ( c_star
@ ( SV143
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV143 @ SX0 ) @ ( SV144 @ SX0 ) ) ) ) )
@ ( SV144
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV143 @ SX0 ) @ ( SV144 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( c_star
@ ( SV143
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV143 @ SX0 ) @ ( SV144 @ SX0 ) ) ) ) ) )
@ ( SV144
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV143 @ SX0 ) @ ( SV144 @ SX0 ) ) ) ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV143 @ SX0 ) @ ( SV144 @ SX0 ) ) ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( c_star @ ( SV143 @ SX0 ) @ ( SV144 @ SX0 ) ) ) ))]]) ).
thf(340,plain,
! [SV48: $i,SV47: $i] :
( ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = SX0 ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = SX0 ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = SX0 ) ))]]) ).
thf(341,plain,
! [SV47: $i,SV48: $i,SV80: $i > $i,SV79: $i > $i] :
( ( ( ( SV79
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV79 @ SX0 )
= ( SV80 @ SX0 ) ) ) ) )
= ( SV80
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV79 @ SX0 )
= ( SV80 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( s @ ( c_star @ c2 @ SV48 ) )
= ( c_star @ c2 @ SV47 ) )
= $true )
| ( ( ( SV79
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV79 @ SX0 )
= ( SV80 @ SX0 ) ) ) )
= ( SV80
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV79 @ SX0 )
= ( SV80 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( ( SV79 @ SX0 ) = ( SV80 @ SX0 ) ) ))]]) ).
thf(342,plain,
! [SV47: $i,SV48: $i,SV80: $i > $i,SV79: $i > $i] :
( ( ( ( SV79
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV79 @ SX0 )
= ( SV80 @ SX0 ) ) ) ) )
= ( SV80
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV79 @ SX0 )
= ( SV80 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( s @ ( c_star @ c2 @ SV48 ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( SV79
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV79 @ SX0 )
= ( SV80 @ SX0 ) ) ) )
= ( SV80
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV79 @ SX0 )
= ( SV80 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[279:[bind(SV52,$thf( ^ [SX0: $i] : ( ( SV79 @ SX0 ) = ( SV80 @ SX0 ) ) ))]]) ).
thf(343,plain,
! [SV189: $i > $i,SV213: $i > $i] :
( ( ( ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV213 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV213 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV213 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) )
@ ( sK3_Xv
@ ( SV213
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV213 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= ( s
@ ( SV189
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV213 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV213 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) )
= c2 )
= $false )
| ( ( ( SV213
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV213 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) )
= ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV213 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV189 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ SX0 @ ( sK3_Xv @ ( SV213 @ SX0 ) ) ) = ( s @ ( SV189 @ SX0 ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ ( sK3_Xv @ ( SV213 @ SX0 ) ) ) = ( s @ ( SV189 @ SX0 ) ) ) ))]]) ).
thf(344,plain,
! [SV213: $i > $i,SV189: $i > $i] :
( ( ( ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV213 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV213 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV213 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) )
@ ( sK3_Xv
@ ( SV213
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV213 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= ( s
@ ( SV189
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV213 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK3_Xv
@ ( SV213
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV213 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
= ( sK3_Xv
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV213 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV213 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) )
= c2 )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV189 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ SX0 @ ( sK3_Xv @ ( SV213 @ SX0 ) ) ) = ( s @ ( SV189 @ SX0 ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ ( sK3_Xv @ ( SV213 @ SX0 ) ) ) = ( s @ ( SV189 @ SX0 ) ) ) ))]]) ).
thf(345,plain,
! [SV189: $i > $i] :
( ( ( ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) ) )
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
= ( s
@ ( SV189
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) )
= ( sK3_Xv
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) )
= c2 )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV189 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ SX0 @ SX0 ) = ( s @ ( SV189 @ SX0 ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ SX0 ) = ( s @ ( SV189 @ SX0 ) ) ) ))]]) ).
thf(346,plain,
! [SV189: $i > $i,SV210: $i > $i] :
( ( ( ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV210 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV210 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star @ c2
@ ( sK3_Xv
@ ( SV210
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV210 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= ( s
@ ( SV189
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV210 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( SV210
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV210 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) )
= ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV210 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV189 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ c2 @ ( sK3_Xv @ ( SV210 @ SX0 ) ) ) = ( s @ ( SV189 @ SX0 ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ ( sK3_Xv @ ( SV210 @ SX0 ) ) ) = ( s @ ( SV189 @ SX0 ) ) ) ))]]) ).
thf(347,plain,
! [SV210: $i > $i,SV189: $i > $i] :
( ( ( ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV210 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV210 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star @ c2
@ ( sK3_Xv
@ ( SV210
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV210 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= ( s
@ ( SV189
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV210 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK3_Xv
@ ( SV210
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV210 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
= ( sK3_Xv
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV210 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV189 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ c2 @ ( sK3_Xv @ ( SV210 @ SX0 ) ) ) = ( s @ ( SV189 @ SX0 ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ ( sK3_Xv @ ( SV210 @ SX0 ) ) ) = ( s @ ( SV189 @ SX0 ) ) ) ))]]) ).
thf(348,plain,
! [SV189: $i > $i] :
( ( ( ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star @ c2
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
= ( s
@ ( SV189
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) )
= ( sK3_Xv
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV189 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ c2 @ SX0 ) = ( s @ ( SV189 @ SX0 ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ SX0 ) = ( s @ ( SV189 @ SX0 ) ) ) ))]]) ).
thf(349,plain,
! [SV205: $i > $i,SV204: $i > $i,SV189: $i > $i] :
( ( ( ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( SV204
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
@ ( SV205
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) )
= ( s
@ ( SV189
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( SV204
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) )
@ ( SV205
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV189 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) ) = ( s @ ( SV189 @ SX0 ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ ( SV204 @ SX0 ) @ ( SV205 @ SX0 ) ) = ( s @ ( SV189 @ SX0 ) ) ) ))]]) ).
thf(350,plain,
! [SV189: $i > $i] :
( ( ( ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( SV189 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( SV189 @ SX0 ) ) ) ) )
= ( s
@ ( SV189
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( SV189 @ SX0 ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV189 @ ( sK1_Xx @ ^ [SX0: $i] : ( SX0 = ( s @ ( SV189 @ SX0 ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( s @ ( SV189 @ SX0 ) ) ) ))]]) ).
thf(351,plain,
! [SV189: $i > $i,SV225: $i > $i] :
( ( ( ( SV225
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV225 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV225
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV225 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV225 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) )
@ ( sK3_Xv
@ ( SV225
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV225 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= ( s
@ ( SV189
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV225 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV225 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) )
= c2 )
= $false )
| ( ( ( s
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV225 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
= ( s
@ ( SV225
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV225 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV225 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ SX0 @ ( sK3_Xv @ ( SV225 @ SX0 ) ) ) = ( s @ ( SV189 @ SX0 ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ ( sK3_Xv @ ( SV225 @ SX0 ) ) ) = ( s @ ( SV189 @ SX0 ) ) ) ))]]) ).
thf(352,plain,
! [SV189: $i > $i,SV225: $i > $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV225 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) )
@ ( sK3_Xv
@ ( SV225
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV225 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= ( s
@ ( SV189
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV225 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK3_Xv
@ ( SV225
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV225 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
= ( sK3_Xv @ SV50 ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV225 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) )
= c2 )
= $false )
| ( ( ( s
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV225 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ ( sK3_Xv @ ( SV225 @ SX0 ) ) ) = ( s @ ( SV189 @ SX0 ) ) ) ))]]) ).
thf(353,plain,
! [SV189: $i > $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) ) )
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
= ( s
@ ( SV189
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) )
= ( sK3_Xv @ SV50 ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) )
= c2 )
= $false )
| ( ( ( s
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ SX0 ) = ( s @ ( SV189 @ SX0 ) ) ) ))]]) ).
thf(354,plain,
! [SV189: $i > $i,SV222: $i > $i] :
( ( ( ( SV222
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV222 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV222
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV222 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star @ c2
@ ( sK3_Xv
@ ( SV222
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV222 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= ( s
@ ( SV189
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV222 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( s
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV222 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
= ( s
@ ( SV222
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV222 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV222 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ c2 @ ( sK3_Xv @ ( SV222 @ SX0 ) ) ) = ( s @ ( SV189 @ SX0 ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ ( sK3_Xv @ ( SV222 @ SX0 ) ) ) = ( s @ ( SV189 @ SX0 ) ) ) ))]]) ).
thf(355,plain,
! [SV189: $i > $i,SV222: $i > $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( c_star @ c2
@ ( sK3_Xv
@ ( SV222
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV222 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= ( s
@ ( SV189
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV222 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK3_Xv
@ ( SV222
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV222 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
= ( sK3_Xv @ SV50 ) )
= $false )
| ( ( ( s
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV222 @ SX0 ) ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ ( sK3_Xv @ ( SV222 @ SX0 ) ) ) = ( s @ ( SV189 @ SX0 ) ) ) ))]]) ).
thf(356,plain,
! [SV189: $i > $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( c_star @ c2
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
= ( s
@ ( SV189
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) )
= ( sK3_Xv @ SV50 ) )
= $false )
| ( ( ( s
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ SX0 ) = ( s @ ( SV189 @ SX0 ) ) ) ))]]) ).
thf(357,plain,
! [SV189: $i > $i,SV217: $i > $i,SV216: $i > $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( c_star
@ ( SV216
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV216 @ SX0 ) @ ( SV217 @ SX0 ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
@ ( SV217
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV216 @ SX0 ) @ ( SV217 @ SX0 ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) )
= ( s
@ ( SV189
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV216 @ SX0 ) @ ( SV217 @ SX0 ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( SV216
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV216 @ SX0 ) @ ( SV217 @ SX0 ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) )
@ ( SV217
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV216 @ SX0 ) @ ( SV217 @ SX0 ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) )
= $false )
| ( ( ( s
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV216 @ SX0 ) @ ( SV217 @ SX0 ) )
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ ( SV216 @ SX0 ) @ ( SV217 @ SX0 ) ) = ( s @ ( SV189 @ SX0 ) ) ) ))]]) ).
thf(358,plain,
! [SV189: $i > $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( SV189 @ SX0 ) ) ) ) )
= ( s
@ ( SV189
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( SV189 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( SV189 @ SX0 ) ) ) )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) )
= $false )
| ( ( ( s
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( s @ ( SV189 @ SX0 ) ) ) ) ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( s @ ( SV189 @ SX0 ) ) ) ))]]) ).
thf(359,plain,
! [SV201: $i > $i] :
( ( ( ( SV201
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV201 @ SX0 ) ) )
= SX0 ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV201
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV201 @ SX0 ) ) )
= SX0 ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV201 @ SX0 ) ) )
= SX0 ) ) )
@ ( sK3_Xv
@ ( SV201
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV201 @ SX0 ) ) )
= SX0 ) ) ) ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV201 @ SX0 ) ) )
= SX0 ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV201 @ SX0 ) ) )
= SX0 ) )
= c2 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV201 @ SX0 ) ) )
= SX0 ) )
= ( s
@ ( SV201
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV201 @ SX0 ) ) )
= SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV201 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ SX0 @ ( sK3_Xv @ ( SV201 @ SX0 ) ) ) = SX0 ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ ( sK3_Xv @ ( SV201 @ SX0 ) ) ) = SX0 ) ))]]) ).
thf(360,plain,
! [SV201: $i > $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV201 @ SX0 ) ) )
= SX0 ) ) )
@ ( sK3_Xv
@ ( SV201
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV201 @ SX0 ) ) )
= SX0 ) ) ) ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV201 @ SX0 ) ) )
= SX0 ) ) ) )
= $true )
| ( ( ( sK3_Xv
@ ( SV201
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV201 @ SX0 ) ) )
= SX0 ) ) ) )
= ( sK3_Xv @ SV50 ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV201 @ SX0 ) ) )
= SX0 ) )
= c2 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK3_Xv @ ( SV201 @ SX0 ) ) )
= SX0 ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ ( sK3_Xv @ ( SV201 @ SX0 ) ) ) = SX0 ) ))]]) ).
thf(361,plain,
! [SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= SX0 ) ) )
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= SX0 ) ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= SX0 ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= SX0 ) )
= ( sK3_Xv @ SV50 ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= SX0 ) )
= c2 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= SX0 ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ SX0 ) = SX0 ) ))]]) ).
thf(362,plain,
! [SV198: $i > $i] :
( ( ( ( SV198
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV198 @ SX0 ) ) )
= SX0 ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV198
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV198 @ SX0 ) ) )
= SX0 ) ) ) ) ) )
= $true )
| ( ( ( c_star @ c2
@ ( sK3_Xv
@ ( SV198
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV198 @ SX0 ) ) )
= SX0 ) ) ) ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV198 @ SX0 ) ) )
= SX0 ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV198 @ SX0 ) ) )
= SX0 ) )
= ( s
@ ( SV198
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV198 @ SX0 ) ) )
= SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV198 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ c2 @ ( sK3_Xv @ ( SV198 @ SX0 ) ) ) = SX0 ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ ( sK3_Xv @ ( SV198 @ SX0 ) ) ) = SX0 ) ))]]) ).
thf(363,plain,
! [SV198: $i > $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( c_star @ c2
@ ( sK3_Xv
@ ( SV198
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV198 @ SX0 ) ) )
= SX0 ) ) ) ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV198 @ SX0 ) ) )
= SX0 ) ) ) )
= $true )
| ( ( ( sK3_Xv
@ ( SV198
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV198 @ SX0 ) ) )
= SX0 ) ) ) )
= ( sK3_Xv @ SV50 ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK3_Xv @ ( SV198 @ SX0 ) ) )
= SX0 ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ ( sK3_Xv @ ( SV198 @ SX0 ) ) ) = SX0 ) ))]]) ).
thf(364,plain,
! [SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( c_star @ c2
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= SX0 ) ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= SX0 ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= SX0 ) )
= ( sK3_Xv @ SV50 ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= SX0 ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ SX0 ) = SX0 ) ))]]) ).
thf(365,plain,
! [SV193: $i > $i,SV192: $i > $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( c_star
@ ( SV192
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV192 @ SX0 ) @ ( SV193 @ SX0 ) )
= SX0 ) ) ) )
@ ( SV193
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV192 @ SX0 ) @ ( SV193 @ SX0 ) )
= SX0 ) ) ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV192 @ SX0 ) @ ( SV193 @ SX0 ) )
= SX0 ) ) ) )
= $true )
| ( ( ( c_star
@ ( SV192
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV192 @ SX0 ) @ ( SV193 @ SX0 ) )
= SX0 ) ) )
@ ( SV193
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV192 @ SX0 ) @ ( SV193 @ SX0 ) )
= SX0 ) ) ) )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV192 @ SX0 ) @ ( SV193 @ SX0 ) )
= SX0 ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ ( SV192 @ SX0 ) @ ( SV193 @ SX0 ) ) = SX0 ) ))]]) ).
thf(367,plain,
! [SV228: $i > $i,SV252: $i > $i] :
( ( ( ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV252 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV252 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( s
@ ( SV228
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV252 @ SX0 ) ) ) ) ) ) ) )
= ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV252 @ SX0 ) ) ) ) ) )
@ ( sK3_Xv
@ ( SV252
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV252 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV252 @ SX0 ) ) ) ) )
= c2 )
= $false )
| ( ( ( SV252
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV252 @ SX0 ) ) ) ) ) )
= ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV252 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV228 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ SX0 @ ( sK3_Xv @ ( SV252 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ SX0 @ ( sK3_Xv @ ( SV252 @ SX0 ) ) ) ) ))]]) ).
thf(368,plain,
! [SV252: $i > $i,SV228: $i > $i] :
( ( ( ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV252 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV252 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( s
@ ( SV228
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV252 @ SX0 ) ) ) ) ) ) ) )
= ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV252 @ SX0 ) ) ) ) ) )
@ ( sK3_Xv
@ ( SV252
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV252 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK3_Xv
@ ( SV252
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV252 @ SX0 ) ) ) ) ) ) )
= ( sK3_Xv
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV252 @ SX0 ) ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV252 @ SX0 ) ) ) ) )
= c2 )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV228 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ SX0 @ ( sK3_Xv @ ( SV252 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ SX0 @ ( sK3_Xv @ ( SV252 @ SX0 ) ) ) ) ))]]) ).
thf(369,plain,
! [SV228: $i > $i] :
( ( ( ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( s
@ ( SV228
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) ) ) ) )
= ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) ) )
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) )
= ( sK3_Xv
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) )
= c2 )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV228 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ SX0 @ SX0 ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ SX0 @ SX0 ) ) ))]]) ).
thf(370,plain,
! [SV228: $i > $i,SV249: $i > $i] :
( ( ( ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV249 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV249 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( s
@ ( SV228
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV249 @ SX0 ) ) ) ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV249
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV249 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( SV249
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV249 @ SX0 ) ) ) ) ) )
= ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV249 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV228 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ c2 @ ( sK3_Xv @ ( SV249 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ c2 @ ( sK3_Xv @ ( SV249 @ SX0 ) ) ) ) ))]]) ).
thf(371,plain,
! [SV249: $i > $i,SV228: $i > $i] :
( ( ( ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV249 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV249 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( s
@ ( SV228
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV249 @ SX0 ) ) ) ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV249
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV249 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK3_Xv
@ ( SV249
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV249 @ SX0 ) ) ) ) ) ) )
= ( sK3_Xv
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV249 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV228 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ c2 @ ( sK3_Xv @ ( SV249 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ c2 @ ( sK3_Xv @ ( SV249 @ SX0 ) ) ) ) ))]]) ).
thf(372,plain,
! [SV228: $i > $i] :
( ( ( ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ SX0 ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( s
@ ( SV228
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ SX0 ) ) )
= ( sK3_Xv
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV228 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ c2 @ SX0 ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ c2 @ SX0 ) ) ))]]) ).
thf(373,plain,
! [SV244: $i > $i,SV243: $i > $i,SV228: $i > $i] :
( ( ( ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ ( SV243 @ SX0 ) @ ( SV244 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ ( SV243 @ SX0 ) @ ( SV244 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( s
@ ( SV228
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ ( SV243 @ SX0 ) @ ( SV244 @ SX0 ) ) ) ) ) ) )
= ( c_star
@ ( SV243
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ ( SV243 @ SX0 ) @ ( SV244 @ SX0 ) ) ) ) ) )
@ ( SV244
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ ( SV243 @ SX0 ) @ ( SV244 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( SV243
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ ( SV243 @ SX0 ) @ ( SV244 @ SX0 ) ) ) ) )
@ ( SV244
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ ( SV243 @ SX0 ) @ ( SV244 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ ( SV243 @ SX0 ) @ ( SV244 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV228 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ ( SV243 @ SX0 ) @ ( SV244 @ SX0 ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ ( SV243 @ SX0 ) @ ( SV244 @ SX0 ) ) ) ))]]) ).
thf(374,plain,
! [SV228: $i > $i] :
( ( ( ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= SX0 ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= SX0 ) ) ) ) ) )
= $true )
| ( ( ( s
@ ( SV228
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= SX0 ) ) ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= SX0 ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= SX0 ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV228 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = SX0 ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = SX0 ) ))]]) ).
thf(375,plain,
! [SV228: $i > $i,SV264: $i > $i] :
( ( ( ( SV264
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV264 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV264
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV264 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( s
@ ( SV228
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV264 @ SX0 ) ) ) ) ) ) ) )
= ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV264 @ SX0 ) ) ) ) ) )
@ ( sK3_Xv
@ ( SV264
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV264 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV264 @ SX0 ) ) ) ) )
= c2 )
= $false )
| ( ( ( s
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV264 @ SX0 ) ) ) ) ) ) )
= ( s
@ ( SV264
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV264 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV264 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ SX0 @ ( sK3_Xv @ ( SV264 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ SX0 @ ( sK3_Xv @ ( SV264 @ SX0 ) ) ) ) ))]]) ).
thf(376,plain,
! [SV264: $i > $i,SV228: $i > $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( s
@ ( SV228
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV264 @ SX0 ) ) ) ) ) ) ) )
= ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV264 @ SX0 ) ) ) ) ) )
@ ( sK3_Xv
@ ( SV264
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV264 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK3_Xv
@ ( SV264
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV264 @ SX0 ) ) ) ) ) ) )
= ( sK3_Xv @ SV50 ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV264 @ SX0 ) ) ) ) )
= c2 )
= $false )
| ( ( ( s
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV264 @ SX0 ) ) ) ) ) ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ SX0 @ ( sK3_Xv @ ( SV264 @ SX0 ) ) ) ) ))]]) ).
thf(377,plain,
! [SV228: $i > $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( s
@ ( SV228
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) ) ) ) )
= ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) ) )
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) )
= ( sK3_Xv @ SV50 ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) )
= c2 )
= $false )
| ( ( ( s
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) ) ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ SX0 @ SX0 ) ) ))]]) ).
thf(378,plain,
! [SV228: $i > $i,SV261: $i > $i] :
( ( ( ( SV261
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV261 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV261
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV261 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( s
@ ( SV228
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV261 @ SX0 ) ) ) ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV261
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV261 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( s
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV261 @ SX0 ) ) ) ) ) ) )
= ( s
@ ( SV261
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV261 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV261 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ c2 @ ( sK3_Xv @ ( SV261 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ c2 @ ( sK3_Xv @ ( SV261 @ SX0 ) ) ) ) ))]]) ).
thf(379,plain,
! [SV261: $i > $i,SV228: $i > $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( s
@ ( SV228
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV261 @ SX0 ) ) ) ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV261
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV261 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK3_Xv
@ ( SV261
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV261 @ SX0 ) ) ) ) ) ) )
= ( sK3_Xv @ SV50 ) )
= $false )
| ( ( ( s
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( SV261 @ SX0 ) ) ) ) ) ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ c2 @ ( sK3_Xv @ ( SV261 @ SX0 ) ) ) ) ))]]) ).
thf(380,plain,
! [SV228: $i > $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( s
@ ( SV228
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ SX0 ) ) )
= ( sK3_Xv @ SV50 ) )
= $false )
| ( ( ( s
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ c2 @ SX0 ) ) ) ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ c2 @ SX0 ) ) ))]]) ).
thf(381,plain,
! [SV256: $i > $i,SV255: $i > $i,SV228: $i > $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( s
@ ( SV228
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ ( SV255 @ SX0 ) @ ( SV256 @ SX0 ) ) ) ) ) ) )
= ( c_star
@ ( SV255
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ ( SV255 @ SX0 ) @ ( SV256 @ SX0 ) ) ) ) ) )
@ ( SV256
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ ( SV255 @ SX0 ) @ ( SV256 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( SV255
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ ( SV255 @ SX0 ) @ ( SV256 @ SX0 ) ) ) ) )
@ ( SV256
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ ( SV255 @ SX0 ) @ ( SV256 @ SX0 ) ) ) ) ) )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) )
= $false )
| ( ( ( s
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= ( c_star @ ( SV255 @ SX0 ) @ ( SV256 @ SX0 ) ) ) ) ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = ( c_star @ ( SV255 @ SX0 ) @ ( SV256 @ SX0 ) ) ) ))]]) ).
thf(382,plain,
! [SV228: $i > $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( s
@ ( SV228
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= SX0 ) ) ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= SX0 ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= SX0 ) )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) )
= $false )
| ( ( ( s
@ ( SV228
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( s @ ( SV228 @ SX0 ) )
= SX0 ) ) ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( ( s @ ( SV228 @ SX0 ) ) = SX0 ) ))]]) ).
thf(383,plain,
! [SV240: $i > $i] :
( ( ( ( SV240
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV240 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV240
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV240 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV240 @ SX0 ) ) ) ) ) )
= ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV240 @ SX0 ) ) ) ) ) )
@ ( sK3_Xv
@ ( SV240
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV240 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV240 @ SX0 ) ) ) ) )
= c2 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV240 @ SX0 ) ) ) ) )
= ( s
@ ( SV240
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV240 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV240 @ ( sK1_Xx @ ^ [SX0: $i] : ( SX0 = ( c_star @ SX0 @ ( sK3_Xv @ ( SV240 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( c_star @ SX0 @ ( sK3_Xv @ ( SV240 @ SX0 ) ) ) ) ))]]) ).
thf(384,plain,
! [SV240: $i > $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV240 @ SX0 ) ) ) ) ) )
= ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV240 @ SX0 ) ) ) ) ) )
@ ( sK3_Xv
@ ( SV240
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV240 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK3_Xv
@ ( SV240
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV240 @ SX0 ) ) ) ) ) ) )
= ( sK3_Xv @ SV50 ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV240 @ SX0 ) ) ) ) )
= c2 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( sK3_Xv @ ( SV240 @ SX0 ) ) ) ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( c_star @ SX0 @ ( sK3_Xv @ ( SV240 @ SX0 ) ) ) ) ))]]) ).
thf(385,plain,
! [SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ SX0 ) ) ) )
= ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ SX0 ) ) ) )
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ SX0 ) ) )
= ( sK3_Xv @ SV50 ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ SX0 ) ) )
= c2 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ SX0 ) ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( c_star @ SX0 @ SX0 ) ) ))]]) ).
thf(386,plain,
! [SV237: $i > $i] :
( ( ( ( SV237
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( sK3_Xv @ ( SV237 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV237
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( sK3_Xv @ ( SV237 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( sK3_Xv @ ( SV237 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV237
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( sK3_Xv @ ( SV237 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( sK3_Xv @ ( SV237 @ SX0 ) ) ) ) )
= ( s
@ ( SV237
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( sK3_Xv @ ( SV237 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV50,$thf( SV237 @ ( sK1_Xx @ ^ [SX0: $i] : ( SX0 = ( c_star @ c2 @ ( sK3_Xv @ ( SV237 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( c_star @ c2 @ ( sK3_Xv @ ( SV237 @ SX0 ) ) ) ) ))]]) ).
thf(387,plain,
! [SV237: $i > $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( sK3_Xv @ ( SV237 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV237
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( sK3_Xv @ ( SV237 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK3_Xv
@ ( SV237
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( sK3_Xv @ ( SV237 @ SX0 ) ) ) ) ) ) )
= ( sK3_Xv @ SV50 ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( sK3_Xv @ ( SV237 @ SX0 ) ) ) ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( c_star @ c2 @ ( sK3_Xv @ ( SV237 @ SX0 ) ) ) ) ))]]) ).
thf(388,plain,
! [SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ SX0 ) ) ) )
= ( c_star @ c2
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ SX0 ) ) )
= ( sK3_Xv @ SV50 ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ SX0 ) ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( c_star @ c2 @ SX0 ) ) ))]]) ).
thf(389,plain,
! [SV232: $i > $i,SV231: $i > $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV231 @ SX0 ) @ ( SV232 @ SX0 ) ) ) ) )
= ( c_star
@ ( SV231
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV231 @ SX0 ) @ ( SV232 @ SX0 ) ) ) ) ) )
@ ( SV232
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV231 @ SX0 ) @ ( SV232 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( SV231
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV231 @ SX0 ) @ ( SV232 @ SX0 ) ) ) ) )
@ ( SV232
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV231 @ SX0 ) @ ( SV232 @ SX0 ) ) ) ) ) )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV231 @ SX0 ) @ ( SV232 @ SX0 ) ) ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( c_star @ ( SV231 @ SX0 ) @ ( SV232 @ SX0 ) ) ) ))]]) ).
thf(391,plain,
! [SV186: $i > $i,SV185: $i > $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( SV185
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV185 @ SX0 )
= ( SV186 @ SX0 ) ) ) ) )
= ( SV186
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV185 @ SX0 )
= ( SV186 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( SV185
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV185 @ SX0 )
= ( SV186 @ SX0 ) ) ) )
= ( SV186
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV185 @ SX0 )
= ( SV186 @ SX0 ) ) ) ) )
= $true )
| ( ( ( s @ SV50 )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( ( SV185 @ SX0 ) = ( SV186 @ SX0 ) ) ))]]) ).
thf(392,plain,
! [SV186: $i > $i,SV185: $i > $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( SV185
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV185 @ SX0 )
= ( SV186 @ SX0 ) ) ) ) )
= ( SV186
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV185 @ SX0 )
= ( SV186 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( SV185
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV185 @ SX0 )
= ( SV186 @ SX0 ) ) ) )
= ( SV186
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV185 @ SX0 )
= ( SV186 @ SX0 ) ) ) ) )
= $false )
| ( ( ( s @ SV50 )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[278:[bind(SV52,$thf( ^ [SX0: $i] : ( ( SV185 @ SX0 ) = ( SV186 @ SX0 ) ) ))]]) ).
thf(393,plain,
! [SV268: $i > $i,SV280: $i > $i] :
( ( ( ( s
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV280 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV280 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV280 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) )
@ ( sK2_Xu
@ ( SV280
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV280 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) ) ) )
= ( SV268
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV280 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV280 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) )
= c2 )
= $false )
| ( ( ( SV280
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV280 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) )
= ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV280 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[277:[bind(SV50,$thf( SV268 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ SX0 @ ( sK2_Xu @ ( SV280 @ SX0 ) ) ) = ( SV268 @ SX0 ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ ( sK2_Xu @ ( SV280 @ SX0 ) ) ) = ( SV268 @ SX0 ) ) ))]]) ).
thf(394,plain,
! [SV280: $i > $i,SV268: $i > $i] :
( ( ( ( s
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV280 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV280 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV280 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) )
@ ( sK2_Xu
@ ( SV280
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV280 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) ) ) )
= ( SV268
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV280 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK2_Xu
@ ( SV280
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV280 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) )
= ( sK2_Xu
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV280 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV280 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) )
= c2 )
= $false ) ),
inference(extuni,[status(esa)],[277:[bind(SV50,$thf( SV268 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ SX0 @ ( sK2_Xu @ ( SV280 @ SX0 ) ) ) = ( SV268 @ SX0 ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ ( sK2_Xu @ ( SV280 @ SX0 ) ) ) = ( SV268 @ SX0 ) ) ))]]) ).
thf(395,plain,
! [SV268: $i > $i] :
( ( ( ( s
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( SV268 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( SV268 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( SV268 @ SX0 ) ) ) )
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( SV268 @ SX0 ) ) ) ) )
= ( SV268
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( SV268 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( SV268 @ SX0 ) ) )
= ( sK2_Xu
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( SV268 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( SV268 @ SX0 ) ) )
= c2 )
= $false ) ),
inference(extuni,[status(esa)],[277:[bind(SV50,$thf( SV268 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ SX0 @ SX0 ) = ( SV268 @ SX0 ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ SX0 ) = ( SV268 @ SX0 ) ) ))]]) ).
thf(396,plain,
! [SV268: $i > $i,SV277: $i > $i] :
( ( ( ( s
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV277 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV277 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( c_star @ c2
@ ( sK2_Xu
@ ( SV277
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV277 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) ) ) )
= ( SV268
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV277 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( SV277
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV277 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) )
= ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV277 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[277:[bind(SV50,$thf( SV268 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ c2 @ ( sK2_Xu @ ( SV277 @ SX0 ) ) ) = ( SV268 @ SX0 ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ ( sK2_Xu @ ( SV277 @ SX0 ) ) ) = ( SV268 @ SX0 ) ) ))]]) ).
thf(397,plain,
! [SV277: $i > $i,SV268: $i > $i] :
( ( ( ( s
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV277 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV277 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( c_star @ c2
@ ( sK2_Xu
@ ( SV277
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV277 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) ) ) )
= ( SV268
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV277 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK2_Xu
@ ( SV277
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV277 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) )
= ( sK2_Xu
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV277 @ SX0 ) ) )
= ( SV268 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[277:[bind(SV50,$thf( SV268 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ c2 @ ( sK2_Xu @ ( SV277 @ SX0 ) ) ) = ( SV268 @ SX0 ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ ( sK2_Xu @ ( SV277 @ SX0 ) ) ) = ( SV268 @ SX0 ) ) ))]]) ).
thf(398,plain,
! [SV268: $i > $i] :
( ( ( ( s
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( SV268 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( SV268 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( c_star @ c2
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( SV268 @ SX0 ) ) ) ) )
= ( SV268
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( SV268 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( SV268 @ SX0 ) ) )
= ( sK2_Xu
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( SV268 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[277:[bind(SV50,$thf( SV268 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ c2 @ SX0 ) = ( SV268 @ SX0 ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ SX0 ) = ( SV268 @ SX0 ) ) ))]]) ).
thf(399,plain,
! [SV272: $i > $i,SV271: $i > $i,SV268: $i > $i] :
( ( ( ( s
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV271 @ SX0 ) @ ( SV272 @ SX0 ) )
= ( SV268 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV271 @ SX0 ) @ ( SV272 @ SX0 ) )
= ( SV268 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( SV271
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV271 @ SX0 ) @ ( SV272 @ SX0 ) )
= ( SV268 @ SX0 ) ) ) ) )
@ ( SV272
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV271 @ SX0 ) @ ( SV272 @ SX0 ) )
= ( SV268 @ SX0 ) ) ) ) ) )
= ( SV268
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV271 @ SX0 ) @ ( SV272 @ SX0 ) )
= ( SV268 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( SV271
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV271 @ SX0 ) @ ( SV272 @ SX0 ) )
= ( SV268 @ SX0 ) ) ) )
@ ( SV272
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV271 @ SX0 ) @ ( SV272 @ SX0 ) )
= ( SV268 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV271 @ SX0 ) @ ( SV272 @ SX0 ) )
= ( SV268 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[277:[bind(SV50,$thf( SV268 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ ( SV271 @ SX0 ) @ ( SV272 @ SX0 ) ) = ( SV268 @ SX0 ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ ( SV271 @ SX0 ) @ ( SV272 @ SX0 ) ) = ( SV268 @ SX0 ) ) ))]]) ).
thf(400,plain,
! [SV268: $i > $i] :
( ( ( ( s
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( SV268 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( SV268 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( SV268 @ SX0 ) ) ) )
= ( SV268
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( SV268 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( SV268 @ SX0 ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( SV268 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[277:[bind(SV50,$thf( SV268 @ ( sK1_Xx @ ^ [SX0: $i] : ( SX0 = ( SV268 @ SX0 ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( SV268 @ SX0 ) ) ))]]) ).
thf(401,plain,
! [SV267: $i > $i,SV292: $i > $i] :
( ( ( ( s
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV292 @ SX0 ) ) ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV292 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( SV267
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV292 @ SX0 ) ) ) ) ) ) )
= ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV292 @ SX0 ) ) ) ) ) )
@ ( sK2_Xu
@ ( SV292
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV292 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV292 @ SX0 ) ) ) ) )
= c2 )
= $false )
| ( ( ( SV292
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV292 @ SX0 ) ) ) ) ) )
= ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV292 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[277:[bind(SV50,$thf( SV267 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( SV267 @ SX0 ) = ( c_star @ SX0 @ ( sK2_Xu @ ( SV292 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( SV267 @ SX0 ) = ( c_star @ SX0 @ ( sK2_Xu @ ( SV292 @ SX0 ) ) ) ) ))]]) ).
thf(402,plain,
! [SV292: $i > $i,SV267: $i > $i] :
( ( ( ( s
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV292 @ SX0 ) ) ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV292 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( SV267
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV292 @ SX0 ) ) ) ) ) ) )
= ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV292 @ SX0 ) ) ) ) ) )
@ ( sK2_Xu
@ ( SV292
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV292 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK2_Xu
@ ( SV292
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV292 @ SX0 ) ) ) ) ) ) )
= ( sK2_Xu
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV292 @ SX0 ) ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV292 @ SX0 ) ) ) ) )
= c2 )
= $false ) ),
inference(extuni,[status(esa)],[277:[bind(SV50,$thf( SV267 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( SV267 @ SX0 ) = ( c_star @ SX0 @ ( sK2_Xu @ ( SV292 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( SV267 @ SX0 ) = ( c_star @ SX0 @ ( sK2_Xu @ ( SV292 @ SX0 ) ) ) ) ))]]) ).
thf(403,plain,
! [SV267: $i > $i] :
( ( ( ( s
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( SV267
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ SX0 ) ) ) ) )
= ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ SX0 ) ) ) )
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ SX0 ) ) )
= ( sK2_Xu
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ SX0 @ SX0 ) ) )
= c2 )
= $false ) ),
inference(extuni,[status(esa)],[277:[bind(SV50,$thf( SV267 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( SV267 @ SX0 ) = ( c_star @ SX0 @ SX0 ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( SV267 @ SX0 ) = ( c_star @ SX0 @ SX0 ) ) ))]]) ).
thf(404,plain,
! [SV267: $i > $i,SV289: $i > $i] :
( ( ( ( s
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ c2 @ ( sK2_Xu @ ( SV289 @ SX0 ) ) ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ c2 @ ( sK2_Xu @ ( SV289 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( SV267
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ c2 @ ( sK2_Xu @ ( SV289 @ SX0 ) ) ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV289
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ c2 @ ( sK2_Xu @ ( SV289 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( SV289
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ c2 @ ( sK2_Xu @ ( SV289 @ SX0 ) ) ) ) ) )
= ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ c2 @ ( sK2_Xu @ ( SV289 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[277:[bind(SV50,$thf( SV267 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( SV267 @ SX0 ) = ( c_star @ c2 @ ( sK2_Xu @ ( SV289 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( SV267 @ SX0 ) = ( c_star @ c2 @ ( sK2_Xu @ ( SV289 @ SX0 ) ) ) ) ))]]) ).
thf(405,plain,
! [SV289: $i > $i,SV267: $i > $i] :
( ( ( ( s
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ c2 @ ( sK2_Xu @ ( SV289 @ SX0 ) ) ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ c2 @ ( sK2_Xu @ ( SV289 @ SX0 ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( SV267
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ c2 @ ( sK2_Xu @ ( SV289 @ SX0 ) ) ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV289
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ c2 @ ( sK2_Xu @ ( SV289 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK2_Xu
@ ( SV289
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ c2 @ ( sK2_Xu @ ( SV289 @ SX0 ) ) ) ) ) ) )
= ( sK2_Xu
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ c2 @ ( sK2_Xu @ ( SV289 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[277:[bind(SV50,$thf( SV267 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( SV267 @ SX0 ) = ( c_star @ c2 @ ( sK2_Xu @ ( SV289 @ SX0 ) ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( SV267 @ SX0 ) = ( c_star @ c2 @ ( sK2_Xu @ ( SV289 @ SX0 ) ) ) ) ))]]) ).
thf(406,plain,
! [SV267: $i > $i] :
( ( ( ( s
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ c2 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ c2 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( SV267
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ c2 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ c2 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ c2 @ SX0 ) ) )
= ( sK2_Xu
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ c2 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[277:[bind(SV50,$thf( SV267 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( SV267 @ SX0 ) = ( c_star @ c2 @ SX0 ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( SV267 @ SX0 ) = ( c_star @ c2 @ SX0 ) ) ))]]) ).
thf(407,plain,
! [SV284: $i > $i,SV283: $i > $i,SV267: $i > $i] :
( ( ( ( s
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ ( SV283 @ SX0 ) @ ( SV284 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ ( SV283 @ SX0 ) @ ( SV284 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( SV267
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ ( SV283 @ SX0 ) @ ( SV284 @ SX0 ) ) ) ) ) )
= ( c_star
@ ( SV283
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ ( SV283 @ SX0 ) @ ( SV284 @ SX0 ) ) ) ) ) )
@ ( SV284
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ ( SV283 @ SX0 ) @ ( SV284 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( SV283
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ ( SV283 @ SX0 ) @ ( SV284 @ SX0 ) ) ) ) )
@ ( SV284
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ ( SV283 @ SX0 ) @ ( SV284 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( c_star @ ( SV283 @ SX0 ) @ ( SV284 @ SX0 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[277:[bind(SV50,$thf( SV267 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( SV267 @ SX0 ) = ( c_star @ ( SV283 @ SX0 ) @ ( SV284 @ SX0 ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( SV267 @ SX0 ) = ( c_star @ ( SV283 @ SX0 ) @ ( SV284 @ SX0 ) ) ) ))]]) ).
thf(408,plain,
! [SV267: $i > $i] :
( ( ( ( s
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= SX0 ) ) ) )
= ( c_star @ c2
@ ( sK3_Xv
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= SX0 ) ) ) ) ) )
= $true )
| ( ( ( SV267
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= SX0 ) ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= SX0 ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= SX0 ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[277:[bind(SV50,$thf( SV267 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( SV267 @ SX0 ) = SX0 ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( SV267 @ SX0 ) = SX0 ) ))]]) ).
thf(409,plain,
! [SV268: $i > $i,SV267: $i > $i,SV50: $i] :
( ( ( ( s @ SV50 )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) )
= $true )
| ( ( ( SV267
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( SV268 @ SX0 ) ) ) ) )
= ( SV268
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( SV268 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( SV268 @ SX0 ) ) ) )
= ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( SV268 @ SX0 ) ) ) ) )
= $true )
| ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[277:[bind(SV52,$thf( ^ [SX0: $i] : ( ( SV267 @ SX0 ) = ( SV268 @ SX0 ) ) ))]]) ).
thf(410,plain,
! [SV268: $i > $i,SV267: $i > $i,SV50: $i] :
( ( ( ( s @ SV50 )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) )
= $true )
| ( ( ( SV267
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( SV268 @ SX0 ) ) ) ) )
= ( SV268
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( SV268 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( SV268 @ SX0 ) ) ) )
= ( SV268
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV267 @ SX0 )
= ( SV268 @ SX0 ) ) ) ) )
= $false )
| ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[277:[bind(SV52,$thf( ^ [SX0: $i] : ( ( SV267 @ SX0 ) = ( SV268 @ SX0 ) ) ))]]) ).
thf(411,plain,
! [SV300: $i > $i,SV338: $i > $i,SV337: $i > $i] :
( ( ( ( c_star
@ ( SV337
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV337 @ SX0 ) @ ( SV338 @ SX0 ) )
= ( c_star @ SX0 @ ( SV300 @ SX0 ) ) ) ) ) )
@ ( SV338
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV337 @ SX0 ) @ ( SV338 @ SX0 ) )
= ( c_star @ SX0 @ ( SV300 @ SX0 ) ) ) ) ) ) )
= ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV337 @ SX0 ) @ ( SV338 @ SX0 ) )
= ( c_star @ SX0 @ ( SV300 @ SX0 ) ) ) ) )
@ ( SV300
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV337 @ SX0 ) @ ( SV338 @ SX0 ) )
= ( c_star @ SX0 @ ( SV300 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( SV337
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV337 @ SX0 ) @ ( SV338 @ SX0 ) )
= ( c_star @ SX0 @ ( SV300 @ SX0 ) ) ) ) )
@ ( SV338
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV337 @ SX0 ) @ ( SV338 @ SX0 ) )
= ( c_star @ SX0 @ ( SV300 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( c_star @ c2
@ ( SV300
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV337 @ SX0 ) @ ( SV338 @ SX0 ) )
= ( c_star @ SX0 @ ( SV300 @ SX0 ) ) ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV337 @ SX0 ) @ ( SV338 @ SX0 ) )
= ( c_star @ SX0 @ ( SV300 @ SX0 ) ) ) )
= c2 )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV51,$thf( SV300 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ ( SV337 @ SX0 ) @ ( SV338 @ SX0 ) ) = ( c_star @ SX0 @ ( SV300 @ SX0 ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ ( SV337 @ SX0 ) @ ( SV338 @ SX0 ) ) = ( c_star @ SX0 @ ( SV300 @ SX0 ) ) ) ))]]) ).
thf(412,plain,
! [SV300: $i > $i] :
( ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( SV300 @ SX0 ) ) ) ) )
= ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( SV300 @ SX0 ) ) ) ) )
@ ( SV300
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( SV300 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( SV300 @ SX0 ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( c_star @ c2
@ ( SV300
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( SV300 @ SX0 ) ) ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( SV300 @ SX0 ) ) ) )
= c2 )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV51,$thf( SV300 @ ( sK1_Xx @ ^ [SX0: $i] : ( SX0 = ( c_star @ SX0 @ ( SV300 @ SX0 ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( c_star @ SX0 @ ( SV300 @ SX0 ) ) ) ))]]) ).
thf(413,plain,
! [SV300: $i > $i,SV326: $i > $i,SV325: $i > $i] :
( ( ( ( c_star
@ ( SV325
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV325 @ SX0 ) @ ( SV326 @ SX0 ) )
= ( c_star @ c2 @ ( SV300 @ SX0 ) ) ) ) ) )
@ ( SV326
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV325 @ SX0 ) @ ( SV326 @ SX0 ) )
= ( c_star @ c2 @ ( SV300 @ SX0 ) ) ) ) ) ) )
= ( c_star @ c2
@ ( SV300
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV325 @ SX0 ) @ ( SV326 @ SX0 ) )
= ( c_star @ c2 @ ( SV300 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( SV325
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV325 @ SX0 ) @ ( SV326 @ SX0 ) )
= ( c_star @ c2 @ ( SV300 @ SX0 ) ) ) ) )
@ ( SV326
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV325 @ SX0 ) @ ( SV326 @ SX0 ) )
= ( c_star @ c2 @ ( SV300 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( c_star @ c2
@ ( SV300
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV325 @ SX0 ) @ ( SV326 @ SX0 ) )
= ( c_star @ c2 @ ( SV300 @ SX0 ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV51,$thf( SV300 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ ( SV325 @ SX0 ) @ ( SV326 @ SX0 ) ) = ( c_star @ c2 @ ( SV300 @ SX0 ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ ( SV325 @ SX0 ) @ ( SV326 @ SX0 ) ) = ( c_star @ c2 @ ( SV300 @ SX0 ) ) ) ))]]) ).
thf(414,plain,
! [SV300: $i > $i] :
( ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( SV300 @ SX0 ) ) ) ) )
= ( c_star @ c2
@ ( SV300
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( SV300 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( SV300 @ SX0 ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( c_star @ c2
@ ( SV300
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( SV300 @ SX0 ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV51,$thf( SV300 @ ( sK1_Xx @ ^ [SX0: $i] : ( SX0 = ( c_star @ c2 @ ( SV300 @ SX0 ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( c_star @ c2 @ ( SV300 @ SX0 ) ) ) ))]]) ).
thf(415,plain,
! [SV51: $i,SV300: $i > $i,SV299: $i > $i,SV362: $i > $i] :
( ( ( ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV362 @ SX0 ) ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) )
@ ( sK2_Xu
@ ( SV362
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV362 @ SX0 ) ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) ) ) )
= ( c_star
@ ( SV299
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV362 @ SX0 ) ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) )
@ ( SV300
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV362 @ SX0 ) ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK2_Xu
@ ( SV362
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV362 @ SX0 ) ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) )
= ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV362 @ SX0 ) ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) )
= c2 )
= $false )
| ( ( ( c_star
@ ( SV299
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV362 @ SX0 ) ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) )
@ ( SV300
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV362 @ SX0 ) ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ ( sK2_Xu @ ( SV362 @ SX0 ) ) ) = ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ))]]) ).
thf(416,plain,
! [SV51: $i,SV300: $i > $i,SV299: $i > $i] :
( ( ( ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) )
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) )
= ( c_star
@ ( SV299
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) )
@ ( SV300
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) )
= ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) )
= c2 )
= $false )
| ( ( ( c_star
@ ( SV299
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) )
@ ( SV300
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ SX0 ) = ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ))]]) ).
thf(417,plain,
! [SV51: $i,SV300: $i > $i,SV299: $i > $i,SV355: $i > $i] :
( ( ( ( c_star @ c2
@ ( sK2_Xu
@ ( SV355
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV355 @ SX0 ) ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) ) ) )
= ( c_star
@ ( SV299
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV355 @ SX0 ) ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) )
@ ( SV300
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV355 @ SX0 ) ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK2_Xu
@ ( SV355
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV355 @ SX0 ) ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) )
= ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) )
= $false )
| ( ( ( c_star
@ ( SV299
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV355 @ SX0 ) ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) )
@ ( SV300
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV355 @ SX0 ) ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ ( sK2_Xu @ ( SV355 @ SX0 ) ) ) = ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ))]]) ).
thf(418,plain,
! [SV51: $i,SV300: $i > $i,SV299: $i > $i] :
( ( ( ( c_star @ c2
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) )
= ( c_star
@ ( SV299
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) )
@ ( SV300
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) )
= ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) )
= $false )
| ( ( ( c_star
@ ( SV299
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) )
@ ( SV300
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ SX0 ) = ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ))]]) ).
thf(419,plain,
! [SV51: $i,SV300: $i > $i,SV299: $i > $i,SV350: $i > $i,SV349: $i > $i] :
( ( ( ( c_star
@ ( SV349
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV349 @ SX0 ) @ ( SV350 @ SX0 ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) )
@ ( SV350
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV349 @ SX0 ) @ ( SV350 @ SX0 ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) ) )
= ( c_star
@ ( SV299
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV349 @ SX0 ) @ ( SV350 @ SX0 ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) )
@ ( SV300
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV349 @ SX0 ) @ ( SV350 @ SX0 ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( SV349
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV349 @ SX0 ) @ ( SV350 @ SX0 ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) )
@ ( SV350
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV349 @ SX0 ) @ ( SV350 @ SX0 ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) ) )
= $false )
| ( ( ( c_star
@ ( SV299
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV349 @ SX0 ) @ ( SV350 @ SX0 ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) )
@ ( SV300
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV349 @ SX0 ) @ ( SV350 @ SX0 ) )
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ ( SV349 @ SX0 ) @ ( SV350 @ SX0 ) ) = ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ))]]) ).
thf(420,plain,
! [SV51: $i,SV300: $i > $i,SV299: $i > $i] :
( ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) )
= ( c_star
@ ( SV299
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) )
@ ( SV300
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) ) )
= $false )
| ( ( ( c_star
@ ( SV299
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) )
@ ( SV300
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ) ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( c_star @ ( SV299 @ SX0 ) @ ( SV300 @ SX0 ) ) ) ))]]) ).
thf(421,plain,
! [SV51: $i,SV316: $i > $i] :
( ( ( ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV316 @ SX0 ) ) )
= SX0 ) ) )
@ ( sK2_Xu
@ ( SV316
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV316 @ SX0 ) ) )
= SX0 ) ) ) ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV316 @ SX0 ) ) )
= SX0 ) ) ) )
= $true )
| ( ( ( sK2_Xu
@ ( SV316
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV316 @ SX0 ) ) )
= SX0 ) ) ) )
= ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV316 @ SX0 ) ) )
= SX0 ) )
= c2 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( sK2_Xu @ ( SV316 @ SX0 ) ) )
= SX0 ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ ( sK2_Xu @ ( SV316 @ SX0 ) ) ) = SX0 ) ))]]) ).
thf(422,plain,
! [SV51: $i] :
( ( ( ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= SX0 ) ) )
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= SX0 ) ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= SX0 ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= SX0 ) )
= ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= SX0 ) )
= c2 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ SX0 )
= SX0 ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ SX0 ) = SX0 ) ))]]) ).
thf(423,plain,
! [SV51: $i,SV309: $i > $i] :
( ( ( ( c_star @ c2
@ ( sK2_Xu
@ ( SV309
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV309 @ SX0 ) ) )
= SX0 ) ) ) ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV309 @ SX0 ) ) )
= SX0 ) ) ) )
= $true )
| ( ( ( sK2_Xu
@ ( SV309
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV309 @ SX0 ) ) )
= SX0 ) ) ) )
= ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( sK2_Xu @ ( SV309 @ SX0 ) ) )
= SX0 ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ ( sK2_Xu @ ( SV309 @ SX0 ) ) ) = SX0 ) ))]]) ).
thf(424,plain,
! [SV51: $i] :
( ( ( ( c_star @ c2
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= SX0 ) ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= SX0 ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= SX0 ) )
= ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ SX0 )
= SX0 ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ SX0 ) = SX0 ) ))]]) ).
thf(425,plain,
! [SV51: $i,SV304: $i > $i,SV303: $i > $i] :
( ( ( ( c_star
@ ( SV303
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV303 @ SX0 ) @ ( SV304 @ SX0 ) )
= SX0 ) ) ) )
@ ( SV304
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV303 @ SX0 ) @ ( SV304 @ SX0 ) )
= SX0 ) ) ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV303 @ SX0 ) @ ( SV304 @ SX0 ) )
= SX0 ) ) ) )
= $true )
| ( ( ( c_star
@ ( SV303
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV303 @ SX0 ) @ ( SV304 @ SX0 ) )
= SX0 ) ) )
@ ( SV304
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV303 @ SX0 ) @ ( SV304 @ SX0 ) )
= SX0 ) ) ) )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV303 @ SX0 ) @ ( SV304 @ SX0 ) )
= SX0 ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ ( SV303 @ SX0 ) @ ( SV304 @ SX0 ) ) = SX0 ) ))]]) ).
thf(427,plain,
! [SV408: $i > $i,SV407: $i > $i,SV370: $i > $i] :
( ( ( ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV407 @ SX0 ) @ ( SV408 @ SX0 ) ) ) ) )
@ ( SV370
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV407 @ SX0 ) @ ( SV408 @ SX0 ) ) ) ) ) ) )
= ( c_star
@ ( SV407
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV407 @ SX0 ) @ ( SV408 @ SX0 ) ) ) ) ) )
@ ( SV408
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV407 @ SX0 ) @ ( SV408 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( SV407
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV407 @ SX0 ) @ ( SV408 @ SX0 ) ) ) ) )
@ ( SV408
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV407 @ SX0 ) @ ( SV408 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( c_star @ c2
@ ( SV370
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV407 @ SX0 ) @ ( SV408 @ SX0 ) ) ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV407 @ SX0 ) @ ( SV408 @ SX0 ) ) ) )
= c2 )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV51,$thf( SV370 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ SX0 @ ( SV370 @ SX0 ) ) = ( c_star @ ( SV407 @ SX0 ) @ ( SV408 @ SX0 ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ ( SV370 @ SX0 ) ) = ( c_star @ ( SV407 @ SX0 ) @ ( SV408 @ SX0 ) ) ) ))]]) ).
thf(428,plain,
! [SV370: $i > $i] :
( ( ( ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV370 @ SX0 ) )
= SX0 ) ) )
@ ( SV370
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV370 @ SX0 ) )
= SX0 ) ) ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV370 @ SX0 ) )
= SX0 ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV370 @ SX0 ) )
= SX0 ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( c_star @ c2
@ ( SV370
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV370 @ SX0 ) )
= SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ SX0 @ ( SV370 @ SX0 ) )
= SX0 ) )
= c2 )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV51,$thf( SV370 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ SX0 @ ( SV370 @ SX0 ) ) = SX0 ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ SX0 @ ( SV370 @ SX0 ) ) = SX0 ) ))]]) ).
thf(429,plain,
! [SV396: $i > $i,SV395: $i > $i,SV370: $i > $i] :
( ( ( ( c_star @ c2
@ ( SV370
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV395 @ SX0 ) @ ( SV396 @ SX0 ) ) ) ) ) ) )
= ( c_star
@ ( SV395
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV395 @ SX0 ) @ ( SV396 @ SX0 ) ) ) ) ) )
@ ( SV396
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV395 @ SX0 ) @ ( SV396 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( SV395
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV395 @ SX0 ) @ ( SV396 @ SX0 ) ) ) ) )
@ ( SV396
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV395 @ SX0 ) @ ( SV396 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( c_star @ c2
@ ( SV370
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV395 @ SX0 ) @ ( SV396 @ SX0 ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV51,$thf( SV370 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ c2 @ ( SV370 @ SX0 ) ) = ( c_star @ ( SV395 @ SX0 ) @ ( SV396 @ SX0 ) ) ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ ( SV370 @ SX0 ) ) = ( c_star @ ( SV395 @ SX0 ) @ ( SV396 @ SX0 ) ) ) ))]]) ).
thf(430,plain,
! [SV370: $i > $i] :
( ( ( ( c_star @ c2
@ ( SV370
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV370 @ SX0 ) )
= SX0 ) ) ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV370 @ SX0 ) )
= SX0 ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV370 @ SX0 ) )
= SX0 ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( c_star @ c2
@ ( SV370
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ c2 @ ( SV370 @ SX0 ) )
= SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV51,$thf( SV370 @ ( sK1_Xx @ ^ [SX0: $i] : ( ( c_star @ c2 @ ( SV370 @ SX0 ) ) = SX0 ) ) )),bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ c2 @ ( SV370 @ SX0 ) ) = SX0 ) ))]]) ).
thf(431,plain,
! [SV51: $i,SV432: $i > $i,SV370: $i > $i,SV369: $i > $i] :
( ( ( ( c_star
@ ( SV369
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV432 @ SX0 ) ) ) ) ) ) )
@ ( SV370
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV432 @ SX0 ) ) ) ) ) ) ) )
= ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV432 @ SX0 ) ) ) ) ) )
@ ( sK2_Xu
@ ( SV432
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV432 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK2_Xu
@ ( SV432
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV432 @ SX0 ) ) ) ) ) ) )
= ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV432 @ SX0 ) ) ) ) )
= c2 )
= $false )
| ( ( ( c_star
@ ( SV369
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV432 @ SX0 ) ) ) ) ) )
@ ( SV370
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV432 @ SX0 ) ) ) ) ) ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) ) = ( c_star @ SX0 @ ( sK2_Xu @ ( SV432 @ SX0 ) ) ) ) ))]]) ).
thf(432,plain,
! [SV51: $i,SV370: $i > $i,SV369: $i > $i] :
( ( ( ( c_star
@ ( SV369
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) ) ) )
@ ( SV370
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) ) ) ) )
= ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) ) )
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) )
= ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) )
= c2 )
= $false )
| ( ( ( c_star
@ ( SV369
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) ) )
@ ( SV370
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ SX0 @ SX0 ) ) ) ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) ) = ( c_star @ SX0 @ SX0 ) ) ))]]) ).
thf(433,plain,
! [SV51: $i,SV425: $i > $i,SV370: $i > $i,SV369: $i > $i] :
( ( ( ( c_star
@ ( SV369
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ c2 @ ( sK2_Xu @ ( SV425 @ SX0 ) ) ) ) ) ) )
@ ( SV370
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ c2 @ ( sK2_Xu @ ( SV425 @ SX0 ) ) ) ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV425
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ c2 @ ( sK2_Xu @ ( SV425 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK2_Xu
@ ( SV425
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ c2 @ ( sK2_Xu @ ( SV425 @ SX0 ) ) ) ) ) ) )
= ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) )
= $false )
| ( ( ( c_star
@ ( SV369
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ c2 @ ( sK2_Xu @ ( SV425 @ SX0 ) ) ) ) ) )
@ ( SV370
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ c2 @ ( sK2_Xu @ ( SV425 @ SX0 ) ) ) ) ) ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) ) = ( c_star @ c2 @ ( sK2_Xu @ ( SV425 @ SX0 ) ) ) ) ))]]) ).
thf(434,plain,
! [SV51: $i,SV370: $i > $i,SV369: $i > $i] :
( ( ( ( c_star
@ ( SV369
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ c2 @ SX0 ) ) ) ) )
@ ( SV370
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ c2 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ c2 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ c2 @ SX0 ) ) )
= ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) )
= $false )
| ( ( ( c_star
@ ( SV369
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ c2 @ SX0 ) ) ) )
@ ( SV370
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ c2 @ SX0 ) ) ) ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) ) = ( c_star @ c2 @ SX0 ) ) ))]]) ).
thf(435,plain,
! [SV51: $i,SV420: $i > $i,SV419: $i > $i,SV370: $i > $i,SV369: $i > $i] :
( ( ( ( c_star
@ ( SV369
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV419 @ SX0 ) @ ( SV420 @ SX0 ) ) ) ) ) )
@ ( SV370
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV419 @ SX0 ) @ ( SV420 @ SX0 ) ) ) ) ) ) )
= ( c_star
@ ( SV419
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV419 @ SX0 ) @ ( SV420 @ SX0 ) ) ) ) ) )
@ ( SV420
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV419 @ SX0 ) @ ( SV420 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( SV419
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV419 @ SX0 ) @ ( SV420 @ SX0 ) ) ) ) )
@ ( SV420
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV419 @ SX0 ) @ ( SV420 @ SX0 ) ) ) ) ) )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) ) )
= $false )
| ( ( ( c_star
@ ( SV369
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV419 @ SX0 ) @ ( SV420 @ SX0 ) ) ) ) )
@ ( SV370
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= ( c_star @ ( SV419 @ SX0 ) @ ( SV420 @ SX0 ) ) ) ) ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) ) = ( c_star @ ( SV419 @ SX0 ) @ ( SV420 @ SX0 ) ) ) ))]]) ).
thf(436,plain,
! [SV51: $i,SV370: $i > $i,SV369: $i > $i] :
( ( ( ( c_star
@ ( SV369
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= SX0 ) ) ) )
@ ( SV370
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= SX0 ) ) ) ) )
= ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= SX0 ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= SX0 ) )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) ) )
= $false )
| ( ( ( c_star
@ ( SV369
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= SX0 ) ) )
@ ( SV370
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) )
= SX0 ) ) ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( ( c_star @ ( SV369 @ SX0 ) @ ( SV370 @ SX0 ) ) = SX0 ) ))]]) ).
thf(437,plain,
! [SV51: $i,SV386: $i > $i] :
( ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV386 @ SX0 ) ) ) ) ) )
= ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV386 @ SX0 ) ) ) ) ) )
@ ( sK2_Xu
@ ( SV386
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV386 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK2_Xu
@ ( SV386
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV386 @ SX0 ) ) ) ) ) ) )
= ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV386 @ SX0 ) ) ) ) )
= c2 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ ( sK2_Xu @ ( SV386 @ SX0 ) ) ) ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( c_star @ SX0 @ ( sK2_Xu @ ( SV386 @ SX0 ) ) ) ) ))]]) ).
thf(438,plain,
! [SV51: $i] :
( ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ SX0 ) ) ) )
= ( c_star
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ SX0 ) ) ) )
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ SX0 ) ) )
= ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ SX0 ) ) )
= c2 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ SX0 @ SX0 ) ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( c_star @ SX0 @ SX0 ) ) ))]]) ).
thf(439,plain,
! [SV51: $i,SV379: $i > $i] :
( ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( sK2_Xu @ ( SV379 @ SX0 ) ) ) ) ) )
= ( c_star @ c2
@ ( sK2_Xu
@ ( SV379
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( sK2_Xu @ ( SV379 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK2_Xu
@ ( SV379
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( sK2_Xu @ ( SV379 @ SX0 ) ) ) ) ) ) )
= ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ ( sK2_Xu @ ( SV379 @ SX0 ) ) ) ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( c_star @ c2 @ ( sK2_Xu @ ( SV379 @ SX0 ) ) ) ) ))]]) ).
thf(440,plain,
! [SV51: $i] :
( ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ SX0 ) ) ) )
= ( c_star @ c2
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ SX0 ) ) )
= ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ c2 @ SX0 ) ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( c_star @ c2 @ SX0 ) ) ))]]) ).
thf(441,plain,
! [SV51: $i,SV374: $i > $i,SV373: $i > $i] :
( ( ( ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV373 @ SX0 ) @ ( SV374 @ SX0 ) ) ) ) )
= ( c_star
@ ( SV373
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV373 @ SX0 ) @ ( SV374 @ SX0 ) ) ) ) ) )
@ ( SV374
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV373 @ SX0 ) @ ( SV374 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( c_star
@ ( SV373
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV373 @ SX0 ) @ ( SV374 @ SX0 ) ) ) ) )
@ ( SV374
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV373 @ SX0 ) @ ( SV374 @ SX0 ) ) ) ) ) )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
= ( c_star @ ( SV373 @ SX0 ) @ ( SV374 @ SX0 ) ) ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( SX0 = ( c_star @ ( SV373 @ SX0 ) @ ( SV374 @ SX0 ) ) ) ))]]) ).
thf(443,plain,
! [SV51: $i,SV296: $i > $i,SV295: $i > $i] :
( ( ( ( SV295
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV295 @ SX0 )
= ( SV296 @ SX0 ) ) ) ) )
= ( SV296
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV295 @ SX0 )
= ( SV296 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( SV295
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV295 @ SX0 )
= ( SV296 @ SX0 ) ) ) )
= ( SV296
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV295 @ SX0 )
= ( SV296 @ SX0 ) ) ) ) )
= $true )
| ( ( ( c_star @ c2 @ SV51 )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( ( SV295 @ SX0 ) = ( SV296 @ SX0 ) ) ))]]) ).
thf(444,plain,
! [SV51: $i,SV296: $i > $i,SV295: $i > $i] :
( ( ( ( SV295
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV295 @ SX0 )
= ( SV296 @ SX0 ) ) ) ) )
= ( SV296
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV295 @ SX0 )
= ( SV296 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( SV295
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV295 @ SX0 )
= ( SV296 @ SX0 ) ) ) )
= ( SV296
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV295 @ SX0 )
= ( SV296 @ SX0 ) ) ) ) )
= $false )
| ( ( ( c_star @ c2 @ SV51 )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[276:[bind(SV52,$thf( ^ [SX0: $i] : ( ( SV295 @ SX0 ) = ( SV296 @ SX0 ) ) ))]]) ).
thf(446,plain,
! [SV451: $i > $o] :
( ( ( ~ ( SV451
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV451
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ~ ~ ~ ( SV451
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[292:[bind(SV52,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( ~ ( ~ ( SV451 @ SX0 ) ) ) ) ) ))]]) ).
thf(447,plain,
! [SV448: $i > $o] :
( ( ( ~ ( SV448
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV448
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ~ ~ ( SV448
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[292:[bind(SV52,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( ~ ( SV448 @ SX0 ) ) ) ) ))]]) ).
thf(450,plain,
! [SV445: $i > $o] :
( ( ( ~ ( SV445
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV445
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ~ ( SV445
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[292:[bind(SV52,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( SV445 @ SX0 ) ) ) ))]]) ).
thf(451,plain,
! [SV442: $i > $o] :
( ( ( ~ ( SV442
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV442 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV442
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV442 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV442
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV442 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[292:[bind(SV52,$thf( ^ [SX0: $i] : ~ ( ~ ( SV442 @ SX0 ) ) ))]]) ).
thf(454,plain,
! [SV439: $i > $o] :
( ( ( ~ ( SV439
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV439 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV439
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV439 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV439
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV439 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[292:[bind(SV52,$thf( ^ [SX0: $i] : ~ ( SV439 @ SX0 ) ))]]) ).
thf(455,plain,
! [SV62: $i > $o] :
( ( ( SV62
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV62 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV62
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV62 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(456,plain,
! [SV59: $i > $o,SV58: $i > $o] :
( ( ( SV58
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV58 @ SX0 )
| ( SV59 @ SX0 ) ) ) )
= $false )
| ( ( ( SV58
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV58 @ SX0 )
| ( SV59 @ SX0 ) ) ) ) )
| ( SV59
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV58 @ SX0 )
| ( SV59 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(457,plain,
! [SV58: $i > $o,SV59: $i > $o] :
( ( ( SV59
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV58 @ SX0 )
| ( SV59 @ SX0 ) ) ) )
= $false )
| ( ( ( SV58
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV58 @ SX0 )
| ( SV59 @ SX0 ) ) ) ) )
| ( SV59
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV58 @ SX0 )
| ( SV59 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(458,plain,
! [SV74: $i > $o] :
( ( ( SV74
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV74 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV74
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV74 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(459,plain,
! [SV71: $i > $o,SV70: $i > $o] :
( ( ( SV70
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV70 @ SX0 )
| ( SV71 @ SX0 ) ) ) )
= $false )
| ( ( ( SV70
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV70 @ SX0 )
| ( SV71 @ SX0 ) ) ) ) )
| ( SV71
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV70 @ SX0 )
| ( SV71 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(460,plain,
! [SV70: $i > $o,SV71: $i > $o] :
( ( ( SV71
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV70 @ SX0 )
| ( SV71 @ SX0 ) ) ) )
= $false )
| ( ( ( SV70
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV70 @ SX0 )
| ( SV71 @ SX0 ) ) ) ) )
| ( SV71
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV70 @ SX0 )
| ( SV71 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(461,plain,
! [SV439: $i > $o] :
( ( ( SV439
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV439 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ( SV439
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV439 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV439
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV439 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[454]) ).
thf(464,plain,
! [SV442: $i > $o] :
( ( ( SV442
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV442 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ( SV442
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV442 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ( SV442
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV442 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(465,plain,
! [SV445: $i > $o] :
( ( ( SV445
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ( SV445
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ~ ( SV445
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(468,plain,
! [SV448: $i > $o] :
( ( ( SV448
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ( SV448
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ~ ~ ~ ( SV448
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(469,plain,
! [SV451: $i > $o] :
( ( ( SV451
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ( SV451
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ~ ~ ~ ~ ( SV451
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[446]) ).
thf(471,plain,
! [SV62: $i > $o] :
( ( ( SV62
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV62 @ SX0 ) ) ) )
= $false )
| ( ( SV62
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV62 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(472,plain,
! [SV59: $i > $o,SV58: $i > $o] :
( ( ( SV58
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV58 @ SX0 )
| ( SV59 @ SX0 ) ) ) ) )
= $true )
| ( ( SV59
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV58 @ SX0 )
| ( SV59 @ SX0 ) ) ) ) )
= $true )
| ( ( SV58
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV58 @ SX0 )
| ( SV59 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[456]) ).
thf(473,plain,
! [SV59: $i > $o,SV58: $i > $o] :
( ( ( SV58
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV58 @ SX0 )
| ( SV59 @ SX0 ) ) ) ) )
= $true )
| ( ( SV59
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV58 @ SX0 )
| ( SV59 @ SX0 ) ) ) ) )
= $true )
| ( ( SV59
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV58 @ SX0 )
| ( SV59 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[457]) ).
thf(474,plain,
! [SV74: $i > $o] :
( ( ( SV74
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV74 @ SX0 ) ) ) )
= $false )
| ( ( SV74
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV74 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(475,plain,
! [SV71: $i > $o,SV70: $i > $o] :
( ( ( SV70
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV70 @ SX0 )
| ( SV71 @ SX0 ) ) ) ) )
= $true )
| ( ( SV71
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV70 @ SX0 )
| ( SV71 @ SX0 ) ) ) ) )
= $true )
| ( ( SV70
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV70 @ SX0 )
| ( SV71 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[459]) ).
thf(476,plain,
! [SV71: $i > $o,SV70: $i > $o] :
( ( ( SV70
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV70 @ SX0 )
| ( SV71 @ SX0 ) ) ) ) )
= $true )
| ( ( SV71
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV70 @ SX0 )
| ( SV71 @ SX0 ) ) ) ) )
= $true )
| ( ( SV71
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV70 @ SX0 )
| ( SV71 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(477,plain,
! [SV439: $i > $o] :
( ( ( ~ ( SV439
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV439 @ SX0 ) ) ) ) )
= $true )
| ( ( SV439
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV439 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV439
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV439 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(480,plain,
! [SV442: $i > $o] :
( ( ( ~ ( SV442
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV442 @ SX0 ) ) ) ) )
= $false )
| ( ( SV442
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV442 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ( SV442
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV442 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(481,plain,
! [SV445: $i > $o] :
( ( ( ~ ( SV445
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) ) ) )
= $true )
| ( ( SV445
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ~ ( SV445
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[465]) ).
thf(484,plain,
! [SV448: $i > $o] :
( ( ( ~ ( SV448
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) ) ) )
= $false )
| ( ( SV448
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ~ ~ ( SV448
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(485,plain,
! [SV451: $i > $o] :
( ( ( ~ ( SV451
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) ) ) )
= $true )
| ( ( SV451
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ~ ~ ~ ( SV451
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[469]) ).
thf(487,plain,
! [SV439: $i > $o] :
( ( ( SV439
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV439 @ SX0 ) ) ) )
= $false )
| ( ( SV439
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV439 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV439
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV439 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(490,plain,
! [SV442: $i > $o] :
( ( ( SV442
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV442 @ SX0 ) ) ) )
= $true )
| ( ( SV442
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV442 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ( SV442
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV442 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[480]) ).
thf(491,plain,
! [SV445: $i > $o] :
( ( ( SV445
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) ) )
= $false )
| ( ( SV445
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ~ ( SV445
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(494,plain,
! [SV448: $i > $o] :
( ( ( SV448
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) ) )
= $true )
| ( ( SV448
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ~ ~ ( SV448
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[484]) ).
thf(495,plain,
! [SV451: $i > $o] :
( ( ( SV451
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) ) )
= $false )
| ( ( SV451
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ~ ~ ~ ( SV451
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(497,plain,
! [SV439: $i > $o] :
( ( ( SV439
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV439 @ SX0 ) ) )
= $true )
| ( ( SV439
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV439 @ SX0 ) ) )
= $true )
| ( ( SV439
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV439 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[487]) ).
thf(500,plain,
! [SV442: $i > $o] :
( ( ( ~ ( SV442
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV442 @ SX0 ) ) ) )
= $true )
| ( ( SV442
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV442 @ SX0 ) ) )
= $false )
| ( ( SV442
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV442 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[490]) ).
thf(501,plain,
! [SV445: $i > $o] :
( ( ( ~ ~ ( SV445
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) ) )
= $true )
| ( ( SV445
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) )
= $true )
| ( ( SV445
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[491]) ).
thf(504,plain,
! [SV448: $i > $o] :
( ( ( ~ ~ ~ ( SV448
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) ) )
= $true )
| ( ( SV448
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) )
= $false )
| ( ( SV448
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[494]) ).
thf(505,plain,
! [SV451: $i > $o] :
( ( ( ~ ~ ~ ~ ( SV451
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) ) )
= $true )
| ( ( SV451
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) )
= $true )
| ( ( SV451
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[495]) ).
thf(508,plain,
! [SV442: $i > $o] :
( ( ( SV442
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV442 @ SX0 ) ) )
= $false )
| ( ( SV442
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV442 @ SX0 ) ) )
= $false )
| ( ( SV442
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV442 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(509,plain,
! [SV445: $i > $o] :
( ( ( ~ ( SV445
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) ) )
= $false )
| ( ( SV445
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) )
= $true )
| ( ( SV445
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(512,plain,
! [SV448: $i > $o] :
( ( ( ~ ~ ( SV448
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) ) )
= $false )
| ( ( SV448
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) )
= $false )
| ( ( SV448
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(513,plain,
! [SV451: $i > $o] :
( ( ( ~ ~ ~ ( SV451
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) ) )
= $false )
| ( ( SV451
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) )
= $true )
| ( ( SV451
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(515,plain,
! [SV445: $i > $o] :
( ( ( SV445
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) )
= $true )
| ( ( SV445
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) )
= $true )
| ( ( SV445
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(518,plain,
! [SV448: $i > $o] :
( ( ( ~ ( SV448
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) ) )
= $true )
| ( ( SV448
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) )
= $false )
| ( ( SV448
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[512]) ).
thf(519,plain,
! [SV451: $i > $o] :
( ( ( ~ ~ ( SV451
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) ) )
= $true )
| ( ( SV451
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) )
= $true )
| ( ( SV451
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[513]) ).
thf(522,plain,
! [SV448: $i > $o] :
( ( ( SV448
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) )
= $false )
| ( ( SV448
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) )
= $false )
| ( ( SV448
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(523,plain,
! [SV451: $i > $o] :
( ( ( ~ ( SV451
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) ) )
= $false )
| ( ( SV451
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) )
= $true )
| ( ( SV451
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(525,plain,
! [SV451: $i > $o] :
( ( ( SV451
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) )
= $true )
| ( ( SV451
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) )
= $true )
| ( ( SV451
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[523]) ).
thf(527,plain,
! [SV439: $i > $o] :
( ( ( SV439
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV439 @ SX0 ) ) )
= $true )
| ( ( SV439
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV439 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[497]) ).
thf(528,plain,
! [SV442: $i > $o] :
( ( ( SV442
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV442 @ SX0 ) ) )
= $false )
| ( ( SV442
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV442 @ SX0 ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[508]) ).
thf(529,plain,
! [SV445: $i > $o] :
( ( ( SV445
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) )
= $true )
| ( ( SV445
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ( SV445 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[515]) ).
thf(530,plain,
! [SV448: $i > $o] :
( ( ( SV448
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) )
= $false )
| ( ( SV448
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV448 @ SX0 ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[522]) ).
thf(531,plain,
! [SV451: $i > $o] :
( ( ( SV451
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) )
= $true )
| ( ( SV451
@ ( s
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV451 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[525]) ).
thf(532,plain,
! [SV455: $i] :
( ( ( s @ ( s @ ( c_star @ c2 @ SV455 ) ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV455 ) ) ) ) )
= $true ),
inference(rename,[status(thm)],[265]) ).
thf(534,plain,
! [SV455: $i,SV47: $i,SV48: $i] :
( ( ( ( s @ ( s @ ( c_star @ c2 @ SV455 ) ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV455 ) ) ) ) )
= ( ( s @ ( c_star @ c2 @ SV48 ) )
= ( c_star @ c2 @ SV47 ) ) )
= $false ),
inference(res,[status(thm)],[532,253]) ).
thf(535,plain,
! [SV48: $i,SV47: $i,SV455: $i] :
( ( ( ( s @ ( s @ ( c_star @ c2 @ SV455 ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( c_star @ c2 @ ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV455 ) ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[534]) ).
thf(537,plain,
! [SV48: $i,SV47: $i,SV455: $i] :
( ( ( ( c_star @ c2 @ ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV455 ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( s @ ( c_star @ c2 @ SV455 ) )
= ( c_star @ c2 @ SV48 ) )
= $false ) ),
inference(extuni,[status(esa)],[534]) ).
thf(538,plain,
! [SV48: $i,SV455: $i] :
( ( ( s @ ( s @ ( c_star @ c2 @ SV455 ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ),
inference(extuni,[status(esa)],[534:[bind(SV47,$thf( sK3_Xv @ ( s @ ( c_star @ c2 @ SV455 ) ) ))]]) ).
thf(539,plain,
! [SV48: $i,SV47: $i,SV455: $i] :
( ( ( ( c_star @ c2 @ ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV455 ) ) ) )
= ( c_star @ c2 @ SV47 ) )
= $false )
| ( ( ( s @ ( s @ ( c_star @ c2 @ SV455 ) ) )
= ( s @ ( c_star @ c2 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[534]) ).
thf(540,plain,
! [SV456: $i,SV457: $i] :
( ( ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV457 ) ) )
= ( s @ ( c_star @ c2 @ SV456 ) ) )
= $false ),
inference(rename,[status(thm)],[269]) ).
thf(541,plain,
! [SV456: $i,SV457: $i,SV455: $i] :
( ( ( ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV457 ) ) )
= ( s @ ( c_star @ c2 @ SV456 ) ) )
= ( ( s @ ( s @ ( c_star @ c2 @ SV455 ) ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV455 ) ) ) ) ) )
= $false ),
inference(res,[status(thm)],[540,532]) ).
thf(543,plain,
! [SV456: $i,SV457: $i,SV51: $i] :
( ( ( ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV457 ) ) )
= ( s @ ( c_star @ c2 @ SV456 ) ) )
= ( ( c_star @ c2 @ SV51 )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) ) ) )
= $false ),
inference(res,[status(thm)],[540,267]) ).
thf(544,plain,
! [SV456: $i,SV457: $i,SV50: $i] :
( ( ( ( ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV457 ) ) )
= ( s @ ( c_star @ c2 @ SV456 ) ) )
= ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) ) )
= $false )
| ( ( ( s @ SV50 )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) )
= $true ) ),
inference(res,[status(thm)],[540,255]) ).
thf(545,plain,
! [SV456: $i,SV457: $i,SV50: $i] :
( ( ( ( ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV457 ) ) )
= ( s @ ( c_star @ c2 @ SV456 ) ) )
= ( ( s @ SV50 )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) ) )
= $false )
| ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true ) ),
inference(res,[status(thm)],[540,255]) ).
thf(546,plain,
! [SV457: $i,SV456: $i] :
( ( ( ( c_star @ c2 @ SV456 )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV456 ) ) ) )
= $true )
| ( ( ( sK2_Xu @ ( c_star @ c2 @ SV457 ) )
= ( sK3_Xv @ ( c_star @ c2 @ SV456 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[545:[bind(SV50,$thf( c_star @ c2 @ SV456 ))]]) ).
thf(547,plain,
! [SV457: $i,SV456: $i] :
( ( ( ( c_star @ c2 @ SV456 )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV456 ) ) ) )
= $true )
| ( ( ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV457 ) ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( c_star @ c2 @ SV456 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[545:[bind(SV50,$thf( c_star @ c2 @ SV456 ))]]) ).
thf(548,plain,
! [SV456: $i,SV457: $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( sK2_Xu @ ( c_star @ c2 @ SV457 ) )
= ( sK3_Xv @ SV50 ) )
= $false )
| ( ( ( s @ ( c_star @ c2 @ SV456 ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[545]) ).
thf(549,plain,
! [SV456: $i,SV457: $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV457 ) ) )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) )
= $false )
| ( ( ( s @ ( c_star @ c2 @ SV456 ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[545]) ).
thf(550,plain,
! [SV457: $i,SV456: $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( s @ ( c_star @ c2 @ SV456 ) )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) )
= $false )
| ( ( ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV457 ) ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[545]) ).
thf(551,plain,
! [SV457: $i,SV456: $i] :
( ( ( ( s @ ( s @ ( c_star @ c2 @ SV456 ) ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV456 ) ) ) ) )
= $true )
| ( ( ( c_star @ c2 @ SV457 )
= ( s @ ( c_star @ c2 @ SV456 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[544:[bind(SV50,$thf( s @ ( c_star @ c2 @ SV456 ) ))]]) ).
thf(552,plain,
! [SV457: $i,SV456: $i] :
( ( ( ( s @ ( s @ ( c_star @ c2 @ SV456 ) ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV456 ) ) ) ) )
= $true )
| ( ( ( sK2_Xu @ ( c_star @ c2 @ SV457 ) )
= ( sK2_Xu @ ( s @ ( c_star @ c2 @ SV456 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[544:[bind(SV50,$thf( s @ ( c_star @ c2 @ SV456 ) ))]]) ).
thf(553,plain,
! [SV457: $i,SV456: $i] :
( ( ( ( s @ ( s @ ( c_star @ c2 @ SV456 ) ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV456 ) ) ) ) )
= $true )
| ( ( ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV457 ) ) )
= ( c_star @ c2 @ ( sK2_Xu @ ( s @ ( c_star @ c2 @ SV456 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[544:[bind(SV50,$thf( s @ ( c_star @ c2 @ SV456 ) ))]]) ).
thf(554,plain,
! [SV456: $i,SV457: $i] :
( ( ( ( s @ ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV457 ) ) ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV457 ) ) ) ) ) )
= $true )
| ( ( ( s @ ( c_star @ c2 @ SV456 ) )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV457 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[544:[bind(SV50,$thf( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV457 ) ) ))]]) ).
thf(555,plain,
! [SV51: $i,SV456: $i] :
( ( ( s @ ( c_star @ c2 @ SV456 ) )
= ( c_star @ c2 @ SV51 ) )
= $false ),
inference(extuni,[status(esa)],[543:[bind(SV457,$thf( SV51 ))]]) ).
thf(556,plain,
! [SV456: $i,SV51: $i,SV457: $i] :
( ( ( ( c_star @ c2 @ SV457 )
= ( c_star @ c2 @ SV51 ) )
= $false )
| ( ( ( s @ ( c_star @ c2 @ SV456 ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[543]) ).
thf(557,plain,
! [SV456: $i,SV51: $i,SV457: $i] :
( ( ( ( sK2_Xu @ ( c_star @ c2 @ SV457 ) )
= ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) )
= $false )
| ( ( ( s @ ( c_star @ c2 @ SV456 ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[543]) ).
thf(558,plain,
! [SV456: $i,SV51: $i,SV457: $i] :
( ( ( ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV457 ) ) )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) ) )
= $false )
| ( ( ( s @ ( c_star @ c2 @ SV456 ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[543]) ).
thf(559,plain,
! [SV457: $i,SV456: $i] :
( ( ( s @ ( c_star @ c2 @ SV456 ) )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV457 ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[543:[bind(SV51,$thf( sK2_Xu @ ( c_star @ c2 @ SV457 ) ))]]) ).
thf(560,plain,
! [SV457: $i,SV51: $i,SV456: $i] :
( ( ( ( s @ ( c_star @ c2 @ SV456 ) )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) ) )
= $false )
| ( ( ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV457 ) ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[543]) ).
thf(561,plain,
! [SV456: $i,SV455: $i,SV457: $i] :
( ( ( ( sK2_Xu @ ( c_star @ c2 @ SV457 ) )
= ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV455 ) ) ) )
= $false )
| ( ( ( c_star @ c2 @ SV456 )
= ( s @ ( c_star @ c2 @ SV455 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[541]) ).
thf(562,plain,
! [SV456: $i,SV455: $i,SV457: $i] :
( ( ( ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV457 ) ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV455 ) ) ) ) )
= $false )
| ( ( ( c_star @ c2 @ SV456 )
= ( s @ ( c_star @ c2 @ SV455 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[541]) ).
thf(563,plain,
! [SV456: $i,SV455: $i,SV457: $i] :
( ( ( ( sK2_Xu @ ( c_star @ c2 @ SV457 ) )
= ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV455 ) ) ) )
= $false )
| ( ( ( s @ ( c_star @ c2 @ SV456 ) )
= ( s @ ( s @ ( c_star @ c2 @ SV455 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[541]) ).
thf(564,plain,
! [SV456: $i,SV455: $i,SV457: $i] :
( ( ( ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV457 ) ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV455 ) ) ) ) )
= $false )
| ( ( ( s @ ( c_star @ c2 @ SV456 ) )
= ( s @ ( s @ ( c_star @ c2 @ SV455 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[541]) ).
thf(565,plain,
! [SV457: $i,SV455: $i,SV456: $i] :
( ( ( ( s @ ( c_star @ c2 @ SV456 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV455 ) ) ) ) )
= $false )
| ( ( ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV457 ) ) )
= ( s @ ( s @ ( c_star @ c2 @ SV455 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[541]) ).
thf(566,plain,
! [SV458: $i,SV459: $i] :
( ( ( c_star @ c2 @ SV459 )
= ( s @ ( c_star @ c2 @ SV458 ) ) )
= $false ),
inference(rename,[status(thm)],[271]) ).
thf(567,plain,
! [SV458: $i,SV459: $i,SV455: $i] :
( ( ( ( c_star @ c2 @ SV459 )
= ( s @ ( c_star @ c2 @ SV458 ) ) )
= ( ( s @ ( s @ ( c_star @ c2 @ SV455 ) ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV455 ) ) ) ) ) )
= $false ),
inference(res,[status(thm)],[566,532]) ).
thf(569,plain,
! [SV458: $i,SV459: $i,SV51: $i] :
( ( ( ( c_star @ c2 @ SV459 )
= ( s @ ( c_star @ c2 @ SV458 ) ) )
= ( ( c_star @ c2 @ SV51 )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) ) ) )
= $false ),
inference(res,[status(thm)],[566,267]) ).
thf(570,plain,
! [SV458: $i,SV459: $i,SV50: $i] :
( ( ( ( ( c_star @ c2 @ SV459 )
= ( s @ ( c_star @ c2 @ SV458 ) ) )
= ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) ) )
= $false )
| ( ( ( s @ SV50 )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) )
= $true ) ),
inference(res,[status(thm)],[566,255]) ).
thf(571,plain,
! [SV458: $i,SV459: $i,SV50: $i] :
( ( ( ( ( c_star @ c2 @ SV459 )
= ( s @ ( c_star @ c2 @ SV458 ) ) )
= ( ( s @ SV50 )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) ) )
= $false )
| ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true ) ),
inference(res,[status(thm)],[566,255]) ).
thf(572,plain,
! [SV458: $i] :
( ( ( c_star @ c2 @ SV458 )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV458 ) ) ) )
= $true ),
inference(extuni,[status(esa)],[571:[bind(SV459,$thf( sK3_Xv @ ( c_star @ c2 @ SV458 ) )),bind(SV50,$thf( c_star @ c2 @ SV458 ))]]) ).
thf(573,plain,
! [SV459: $i,SV458: $i] :
( ( ( ( c_star @ c2 @ SV458 )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV458 ) ) ) )
= $true )
| ( ( ( c_star @ c2 @ SV459 )
= ( c_star @ c2 @ ( sK3_Xv @ ( c_star @ c2 @ SV458 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[571:[bind(SV50,$thf( c_star @ c2 @ SV458 ))]]) ).
thf(574,plain,
! [SV458: $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( s @ ( c_star @ c2 @ SV458 ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[571:[bind(SV459,$thf( sK3_Xv @ SV50 ))]]) ).
thf(575,plain,
! [SV458: $i,SV459: $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( c_star @ c2 @ SV459 )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) )
= $false )
| ( ( ( s @ ( c_star @ c2 @ SV458 ) )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[571]) ).
thf(576,plain,
! [SV459: $i,SV458: $i,SV50: $i] :
( ( ( SV50
= ( c_star @ c2 @ ( sK2_Xu @ SV50 ) ) )
= $true )
| ( ( ( s @ ( c_star @ c2 @ SV458 ) )
= ( c_star @ c2 @ ( sK3_Xv @ SV50 ) ) )
= $false )
| ( ( ( c_star @ c2 @ SV459 )
= ( s @ SV50 ) )
= $false ) ),
inference(extuni,[status(esa)],[571]) ).
thf(577,plain,
! [SV458: $i] :
( ( ( s @ ( s @ ( c_star @ c2 @ SV458 ) ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV458 ) ) ) ) )
= $true ),
inference(extuni,[status(esa)],[570:[bind(SV459,$thf( sK2_Xu @ ( s @ ( c_star @ c2 @ SV458 ) ) )),bind(SV50,$thf( s @ ( c_star @ c2 @ SV458 ) ))]]) ).
thf(578,plain,
! [SV459: $i,SV458: $i] :
( ( ( ( s @ ( s @ ( c_star @ c2 @ SV458 ) ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV458 ) ) ) ) )
= $true )
| ( ( ( c_star @ c2 @ SV459 )
= ( c_star @ c2 @ ( sK2_Xu @ ( s @ ( c_star @ c2 @ SV458 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[570:[bind(SV50,$thf( s @ ( c_star @ c2 @ SV458 ) ))]]) ).
thf(579,plain,
! [SV458: $i,SV459: $i] :
( ( ( ( s @ ( c_star @ c2 @ SV459 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( c_star @ c2 @ SV459 ) ) ) )
= $true )
| ( ( ( s @ ( c_star @ c2 @ SV458 ) )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV459 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[570:[bind(SV50,$thf( c_star @ c2 @ SV459 ))]]) ).
thf(580,plain,
! [SV51: $i,SV458: $i] :
( ( ( s @ ( c_star @ c2 @ SV458 ) )
= ( c_star @ c2 @ SV51 ) )
= $false ),
inference(extuni,[status(esa)],[569:[bind(SV459,$thf( sK2_Xu @ ( c_star @ c2 @ SV51 ) ))]]) ).
thf(581,plain,
! [SV458: $i,SV51: $i,SV459: $i] :
( ( ( ( c_star @ c2 @ SV459 )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) ) )
= $false )
| ( ( ( s @ ( c_star @ c2 @ SV458 ) )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[569]) ).
thf(582,plain,
! [SV51: $i,SV458: $i] :
( ( ( s @ ( c_star @ c2 @ SV458 ) )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) ) )
= $false ),
inference(extuni,[status(esa)],[569:[bind(SV459,$thf( SV51 ))]]) ).
thf(583,plain,
! [SV459: $i,SV51: $i,SV458: $i] :
( ( ( ( s @ ( c_star @ c2 @ SV458 ) )
= ( c_star @ c2 @ ( sK2_Xu @ ( c_star @ c2 @ SV51 ) ) ) )
= $false )
| ( ( ( c_star @ c2 @ SV459 )
= ( c_star @ c2 @ SV51 ) )
= $false ) ),
inference(extuni,[status(esa)],[569]) ).
thf(584,plain,
! [SV455: $i,SV458: $i] :
( ( ( c_star @ c2 @ SV458 )
= ( s @ ( c_star @ c2 @ SV455 ) ) )
= $false ),
inference(extuni,[status(esa)],[567:[bind(SV459,$thf( sK3_Xv @ ( s @ ( c_star @ c2 @ SV455 ) ) ))]]) ).
thf(585,plain,
! [SV458: $i,SV455: $i,SV459: $i] :
( ( ( ( c_star @ c2 @ SV459 )
= ( c_star @ c2 @ ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV455 ) ) ) ) )
= $false )
| ( ( ( c_star @ c2 @ SV458 )
= ( s @ ( c_star @ c2 @ SV455 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[567]) ).
thf(586,plain,
! [SV455: $i,SV458: $i] :
( ( ( s @ ( c_star @ c2 @ SV458 ) )
= ( s @ ( s @ ( c_star @ c2 @ SV455 ) ) ) )
= $false ),
inference(extuni,[status(esa)],[567:[bind(SV459,$thf( sK3_Xv @ ( s @ ( c_star @ c2 @ SV455 ) ) ))]]) ).
thf(587,plain,
! [SV458: $i,SV455: $i,SV459: $i] :
( ( ( ( c_star @ c2 @ SV459 )
= ( c_star @ c2 @ ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV455 ) ) ) ) )
= $false )
| ( ( ( s @ ( c_star @ c2 @ SV458 ) )
= ( s @ ( s @ ( c_star @ c2 @ SV455 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[567]) ).
thf(588,plain,
! [SV459: $i,SV455: $i,SV458: $i] :
( ( ( ( s @ ( c_star @ c2 @ SV458 ) )
= ( c_star @ c2 @ ( sK3_Xv @ ( s @ ( c_star @ c2 @ SV455 ) ) ) ) )
= $false )
| ( ( ( c_star @ c2 @ SV459 )
= ( s @ ( s @ ( c_star @ c2 @ SV455 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[567]) ).
thf(590,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[32,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,539,538,537,535,532,531,530,529,528,527,476,475,474,473,472,471,444,443,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,273,272,270,267,266,264,263,262,261,259,255,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,115,35]) ).
thf(591,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[590]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO239^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n018.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Oct 6 17:35:52 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 136.92/23.12
% 136.92/23.12 No.of.Axioms: 0
% 136.92/23.12
% 136.92/23.12 Length.of.Defs: 0
% 136.92/23.12
% 136.92/23.12 Contains.Choice.Funs: false
% 136.92/23.12 ...eprover: CPU time limit exceeded, terminating
% 136.92/23.12 .......
% 136.92/23.12
% 136.92/23.12 ********************************
% 136.92/23.12 * All subproblems solved! *
% 136.92/23.12 ********************************
% 136.92/23.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,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:590,loop_count:10,foatp_calls:4,translation:fof_experiment)
% 136.92/23.12
% 136.92/23.12 %**** Beginning of derivation protocol ****
% 136.92/23.12 % SZS output start CNFRefutation
% See solution above
% 136.92/23.13
% 136.92/23.13 %**** End of derivation protocol ****
% 136.92/23.13 %**** no. of clauses in derivation: 440 ****
% 136.92/23.13 %**** clause counter: 590 ****
% 136.92/23.13
% 136.92/23.13 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,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:590,loop_count:10,foatp_calls:4,translation:fof_experiment)
%------------------------------------------------------------------------------