TSTP Solution File: SEU864^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU864^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 12:15:29 EDT 2022
% Result : Theorem 47.17s 47.34s
% Output : CNFRefutation 47.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 27
% Syntax : Number of formulae : 662 ( 27 unt; 26 typ; 0 def)
% Number of atoms : 16000 (9110 equ; 0 cnn)
% Maximal formula atoms : 7 ( 25 avg)
% Number of connectives : 44291 ( 585 ~;7459 |; 4 &;36229 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 3015 (3015 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 25 usr; 20 con; 0-3 aty)
% Number of variables : 10562 (8945 ^1617 !; 0 ?;10562 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK10_E,type,
sK10_E: a ).
thf(tp_sK11_E,type,
sK11_E: a ).
thf(tp_sK12_E,type,
sK12_E: a ).
thf(tp_sK13_E,type,
sK13_E: a ).
thf(tp_sK14_E,type,
sK14_E: a ).
thf(tp_sK15_E,type,
sK15_E: a ).
thf(tp_sK16_E,type,
sK16_E: a ).
thf(tp_sK17_E,type,
sK17_E: a ).
thf(tp_sK18_E,type,
sK18_E: a ).
thf(tp_sK19_E,type,
sK19_E: a ).
thf(tp_sK1_X,type,
sK1_X: ( a > $o ) > $o ).
thf(tp_sK20_E,type,
sK20_E: ( a > a > $o ) > a ).
thf(tp_sK21_E,type,
sK21_E: a > ( a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK22_E,type,
sK22_E: ( a > a > $o ) > a ).
thf(tp_sK23_E,type,
sK23_E: ( a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK24_E,type,
sK24_E: a ).
thf(tp_sK2_E,type,
sK2_E: a ).
thf(tp_sK3_E,type,
sK3_E: a ).
thf(tp_sK4_E,type,
sK4_E: a ).
thf(tp_sK5_E,type,
sK5_E: a > ( a > $o ) > a ).
thf(tp_sK6_E,type,
sK6_E: a ).
thf(tp_sK7_E,type,
sK7_E: a ).
thf(tp_sK8_E,type,
sK8_E: a ).
thf(tp_sK9_E,type,
sK9_E: ( a > $o ) > a ).
thf(tp_t,type,
t: a ).
thf(1,conjecture,
! [X: ( a > $o ) > $o] :
( ( ( X
@ ^ [Xy: a] : $false )
& ! [Xx: a > $o] :
( ( X @ Xx )
=> ! [Xt_0: a] :
( ( t = Xt_0 )
=> ( X
@ ^ [Xz: a] :
( ( Xx @ Xz )
| ( Xt_0 = Xz ) ) ) ) ) )
=> ( X
@ ^ [Xy: a] : ( t = Xy ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDOMLEMMA1_pme) ).
thf(2,negated_conjecture,
( ( ! [X: ( a > $o ) > $o] :
( ( ( X
@ ^ [Xy: a] : $false )
& ! [Xx: a > $o] :
( ( X @ Xx )
=> ! [Xt_0: a] :
( ( t = Xt_0 )
=> ( X
@ ^ [Xz: a] :
( ( Xx @ Xz )
| ( Xt_0 = Xz ) ) ) ) ) )
=> ( X
@ ^ [Xy: a] : ( t = Xy ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [X: ( a > $o ) > $o] :
( ( ( X
@ ^ [Xy: a] : $false )
& ! [Xx: a > $o] :
( ( X @ Xx )
=> ! [Xt_0: a] :
( ( t = Xt_0 )
=> ( X
@ ^ [Xz: a] :
( ( Xx @ Xz )
| ( Xt_0 = Xz ) ) ) ) ) )
=> ( X
@ ^ [Xy: a] : ( t = Xy ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( ( sK1_X
@ ^ [Xy: a] : $false )
& ! [SY7: a > $o] :
( ( sK1_X @ SY7 )
=> ! [SY8: a] :
( ( t = SY8 )
=> ( sK1_X
@ ^ [Xz: a] :
( ( SY7 @ Xz )
| ( SY8 = Xz ) ) ) ) ) )
=> ( sK1_X
@ ^ [Xy: a] : ( t = Xy ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( sK1_X
@ ^ [Xy: a] : $false )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [SY7: a > $o] :
( ( sK1_X @ SY7 )
=> ! [SY8: a] :
( ( t = SY8 )
=> ( sK1_X
@ ^ [Xz: a] :
( ( SY7 @ Xz )
| ( SY8 = Xz ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(7,plain,
( ( sK1_X
@ ^ [Xy: a] : ( t = Xy ) )
= $false ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(8,plain,
( ( ~ ( sK1_X
@ ^ [Xy: a] : ( t = Xy ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY7: a > $o] :
( ~ ( sK1_X @ SY7 )
| ! [SY8: a] :
( ( t != SY8 )
| ( sK1_X
@ ^ [Xz: a] :
( ( SY7 @ Xz )
| ( SY8 = Xz ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(10,plain,
( ( ! [SY7: a > $o] :
( ~ ( sK1_X @ SY7 )
| ! [SY8: a] :
( ( t != SY8 )
| ( sK1_X
@ ^ [Xz: a] :
( ( SY7 @ Xz )
| ( SY8 = Xz ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(11,plain,
( ( sK1_X
@ ^ [Xy: a] : $false )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(12,plain,
( ( ~ ( sK1_X
@ ^ [Xy: a] : ( t = Xy ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(13,plain,
! [SV1: a > $o] :
( ( ~ ( sK1_X @ SV1 )
| ! [SY11: a] :
( ( t != SY11 )
| ( sK1_X
@ ^ [SY12: a] :
( ( SV1 @ SY12 )
| ( SY11 = SY12 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(14,plain,
( ( sK1_X
@ ^ [Xy: a] : ( t = Xy ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV1: a > $o] :
( ( ( ~ ( sK1_X @ SV1 ) )
= $true )
| ( ( ! [SY11: a] :
( ( t != SY11 )
| ( sK1_X
@ ^ [SY12: a] :
( ( SV1 @ SY12 )
| ( SY11 = SY12 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[13]) ).
thf(16,plain,
! [SV1: a > $o] :
( ( ( sK1_X @ SV1 )
= $false )
| ( ( ! [SY11: a] :
( ( t != SY11 )
| ( sK1_X
@ ^ [SY12: a] :
( ( SV1 @ SY12 )
| ( SY11 = SY12 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(17,plain,
! [SV1: a > $o,SV2: a] :
( ( ( ( t != SV2 )
| ( sK1_X
@ ^ [SY13: a] :
( ( SV1 @ SY13 )
| ( SV2 = SY13 ) ) ) )
= $true )
| ( ( sK1_X @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(18,plain,
! [SV1: a > $o,SV2: a] :
( ( ( ( t != SV2 ) )
= $true )
| ( ( sK1_X
@ ^ [SY13: a] :
( ( SV1 @ SY13 )
| ( SV2 = SY13 ) ) )
= $true )
| ( ( sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(19,plain,
! [SV1: a > $o,SV2: a] :
( ( ( t = SV2 )
= $false )
| ( ( sK1_X
@ ^ [SY13: a] :
( ( SV1 @ SY13 )
| ( SV2 = SY13 ) ) )
= $true )
| ( ( sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(20,plain,
! [SV1: a > $o] :
( ( ( sK1_X @ SV1 )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( ( SV1 @ SX0 )
| ( t = SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[19:[bind(SV2,$thf( t ))]]) ).
thf(21,plain,
( ( ( sK1_X
@ ^ [Xy: a] : ( t = Xy ) )
= ( sK1_X
@ ^ [Xy: a] : $false ) )
= $false ),
inference(res,[status(thm)],[14,11]) ).
thf(22,plain,
( ( ( t = sK2_E )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[21]) ).
thf(24,plain,
( ( t = sK2_E )
= $true ),
inference(sim,[status(thm)],[22]) ).
thf(25,plain,
! [SV3: a > $o,SV4: a] :
( ( ( t = SV4 )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( SV4 = SX0 ) ) )
= $true )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(rename,[status(thm)],[19]) ).
thf(30,plain,
! [SV3: a > $o,SV4: a] :
( ( ( ( sK1_X
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( SV4 = SX0 ) ) )
= ( sK1_X
@ ^ [Xy: a] : ( t = Xy ) ) )
= $false )
| ( ( t = SV4 )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(res,[status(thm)],[25,14]) ).
thf(31,plain,
! [SV3: a > $o,SV4: a] :
( ( ( ( sK1_X @ SV3 )
= ( sK1_X
@ ^ [Xy: a] : $false ) )
= $false )
| ( ( t = SV4 )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( SV4 = SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[25,11]) ).
thf(33,plain,
( ( sK1_X
@ ^ [SX0: a] :
( $false
| ( t = SX0 ) ) )
= $true ),
inference(extuni,[status(esa)],[31:[bind(SV4,$thf( t )),bind(SV3,$thf( ^ [SX0: a] : $false ))]]) ).
thf(34,plain,
! [SV3: a > $o] :
( ( ( sK1_X @ SV3 )
= $false )
| ( ( ( SV3 @ ( sK5_E @ t @ SV3 ) )
| ( t
= ( sK5_E @ t @ SV3 ) ) )
= $true )
| ( ( t
= ( sK5_E @ t @ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[30:[bind(SV4,$thf( t ))]]) ).
thf(35,plain,
! [SV3: a > $o] :
( ( ( sK1_X @ SV3 )
= $false )
| ( ( ( SV3 @ ( sK5_E @ t @ SV3 ) )
| ( t
= ( sK5_E @ t @ SV3 ) ) )
= $false )
| ( ( t
= ( sK5_E @ t @ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[30:[bind(SV4,$thf( t ))]]) ).
thf(37,plain,
! [SV3: a > $o] :
( ( ( SV3 @ ( sK5_E @ t @ SV3 ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( t
= ( sK5_E @ t @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(38,plain,
! [SV3: a > $o] :
( ( ( t
= ( sK5_E @ t @ SV3 ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( t
= ( sK5_E @ t @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(39,plain,
! [SV3: a > $o] :
( ( ( SV3 @ ( sK5_E @ t @ SV3 ) )
= $true )
| ( ( t
= ( sK5_E @ t @ SV3 ) )
= $true )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( t
= ( sK5_E @ t @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(40,plain,
! [SV3: a > $o] :
( ( ( t
= ( sK5_E @ t @ SV3 ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(sim,[status(thm)],[38]) ).
thf(41,plain,
! [SV3: a > $o] :
( ( ( SV3 @ ( sK5_E @ t @ SV3 ) )
= $true )
| ( ( t
= ( sK5_E @ t @ SV3 ) )
= $true )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(sim,[status(thm)],[39]) ).
thf(42,plain,
! [SV5: a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( ( SV5 @ SX0 )
| ( t = SX0 ) ) )
= $true ) ),
inference(rename,[status(thm)],[20]) ).
thf(45,plain,
! [SV5: a > $o,SV3: a > $o,SV4: a] :
( ( ( ( sK1_X
@ ^ [SX0: a] :
( ( SV5 @ SX0 )
| ( t = SX0 ) ) )
= ( sK1_X @ SV3 ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false )
| ( ( t = SV4 )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( SV4 = SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[42,25]) ).
thf(46,plain,
! [SV5: a > $o,SV3: a > $o,SV4: a] :
( ( ( ( sK1_X @ SV5 )
= ( sK1_X
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( SV4 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( ( SV5 @ SX0 )
| ( t = SX0 ) ) )
= $true )
| ( ( t = SV4 )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(res,[status(thm)],[42,25]) ).
thf(48,plain,
! [SV5: a > $o] :
( ( ( ( sK1_X
@ ^ [SX0: a] :
( ( SV5 @ SX0 )
| ( t = SX0 ) ) )
= ( sK1_X
@ ^ [Xy: a] : ( t = Xy ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(res,[status(thm)],[42,14]) ).
thf(49,plain,
! [SV5: a > $o] :
( ( ( ( sK1_X @ SV5 )
= ( sK1_X
@ ^ [Xy: a] : $false ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( ( SV5 @ SX0 )
| ( t = SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[42,11]) ).
thf(50,plain,
( ( sK1_X
@ ^ [SX0: a] :
( $false
| ( t = SX0 ) ) )
= $true ),
inference(extuni,[status(esa)],[49:[bind(SV5,$thf( ^ [SX0: a] : $false ))]]) ).
thf(51,plain,
! [SV5: a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( ( SV5 @ ( sK9_E @ SV5 ) )
| ( t
= ( sK9_E @ SV5 ) ) )
= $true )
| ( ( t
= ( sK9_E @ SV5 ) )
= $true ) ),
inference(extuni,[status(esa)],[48]) ).
thf(52,plain,
! [SV5: a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( ( SV5 @ ( sK9_E @ SV5 ) )
| ( t
= ( sK9_E @ SV5 ) ) )
= $false )
| ( ( t
= ( sK9_E @ SV5 ) )
= $false ) ),
inference(extuni,[status(esa)],[48]) ).
thf(53,plain,
! [SV3: a > $o] :
( ( ( sK1_X @ SV3 )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( t = SX0 )
| ( t = SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[46:[bind(SV4,$thf( t )),bind(SV5,$thf( ^ [SX0: a] : ( ( SV3 @ SX0 ) | ( t = SX0 ) ) ))]]) ).
thf(54,plain,
! [SV5: a > $o] :
( ( ( sK1_X
@ ^ [SX0: a] :
( ( SV5 @ SX0 )
| ( t = SX0 )
| ( t = SX0 ) ) )
= $true )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extuni,[status(esa)],[45:[bind(SV4,$thf( t )),bind(SV3,$thf( ^ [SX0: a] : ( ( SV5 @ SX0 ) | ( t = SX0 ) ) ))]]) ).
thf(55,plain,
! [SV5: a > $o] :
( ( ( SV5 @ ( sK9_E @ SV5 ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK9_E @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(56,plain,
! [SV5: a > $o] :
( ( ( t
= ( sK9_E @ SV5 ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK9_E @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(57,plain,
! [SV5: a > $o] :
( ( ( SV5 @ ( sK9_E @ SV5 ) )
= $true )
| ( ( t
= ( sK9_E @ SV5 ) )
= $true )
| ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK9_E @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(58,plain,
! [SV5: a > $o] :
( ( ( t
= ( sK9_E @ SV5 ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(sim,[status(thm)],[56]) ).
thf(59,plain,
! [SV5: a > $o] :
( ( ( SV5 @ ( sK9_E @ SV5 ) )
= $true )
| ( ( t
= ( sK9_E @ SV5 ) )
= $true )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(sim,[status(thm)],[57]) ).
thf(62,plain,
! [SV3: a > $o,SV4: a] :
( ( ( ( t = sK2_E )
= ( t = SV4 ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( SV4 = SX0 ) ) )
= $true )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(res,[status(thm)],[24,25]) ).
thf(64,plain,
! [SV3: a > $o] :
( ( ( sK1_X @ SV3 )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( t = SX0 ) ) )
= $true )
| ( ( sK2_E = t )
= $false ) ),
inference(extuni,[status(esa)],[62:[bind(SV4,$thf( t ))]]) ).
thf(65,plain,
! [SV3: a > $o] :
( ( ( sK1_X @ SV3 )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( sK2_E = SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[62:[bind(SV4,$thf( sK2_E ))]]) ).
thf(66,plain,
! [SV5: a > $o] :
( ( ( ( sK1_X
@ ^ [SX0: a] :
( $false
| ( t = SX0 ) ) )
= ( sK1_X @ SV5 ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( ( SV5 @ SX0 )
| ( t = SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[33,42]) ).
thf(67,plain,
! [SV3: a > $o,SV4: a] :
( ( ( ( sK1_X
@ ^ [SX0: a] :
( $false
| ( t = SX0 ) ) )
= ( sK1_X @ SV3 ) )
= $false )
| ( ( t = SV4 )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( SV4 = SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[33,25]) ).
thf(69,plain,
( ( ( sK1_X
@ ^ [SX0: a] :
( $false
| ( t = SX0 ) ) )
= ( sK1_X
@ ^ [Xy: a] : ( t = Xy ) ) )
= $false ),
inference(res,[status(thm)],[33,14]) ).
thf(70,plain,
( ( ( $false
| ( t = sK14_E ) )
= $true )
| ( ( t = sK14_E )
= $true ) ),
inference(extuni,[status(esa)],[69]) ).
thf(71,plain,
( ( ( $false
| ( t = sK14_E ) )
= $false )
| ( ( t = sK14_E )
= $false ) ),
inference(extuni,[status(esa)],[69]) ).
thf(72,plain,
( ( sK1_X
@ ^ [SX0: a] :
( $false
| ( t = SX0 )
| ( t = SX0 ) ) )
= $true ),
inference(extuni,[status(esa)],[67:[bind(SV4,$thf( t )),bind(SV3,$thf( ^ [SX0: a] : ( $false | ( t = SX0 ) ) ))]]) ).
thf(73,plain,
( ( sK1_X
@ ^ [SX0: a] :
( $false
| ( t = SX0 )
| ( t = SX0 ) ) )
= $true ),
inference(extuni,[status(esa)],[66:[bind(SV5,$thf( ^ [SX0: a] : ( $false | ( t = SX0 ) ) ))]]) ).
thf(75,plain,
( ( ( t = sK14_E )
= $false )
| ( ( t = sK14_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(76,plain,
( ( $false = $true )
| ( ( t = sK14_E )
= $true )
| ( ( t = sK14_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(77,plain,
( ( t = sK14_E )
= $false ),
inference(sim,[status(thm)],[75]) ).
thf(78,plain,
( ( t = sK14_E )
= $true ),
inference(sim,[status(thm)],[76]) ).
thf(80,plain,
! [SV7: a > $o] :
( ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
= $false )
| ( ( sK1_X @ SV7 )
= $false )
| ( ( t
= ( sK5_E @ t @ SV7 ) )
= $false ) ),
inference(rename,[status(thm)],[37]) ).
thf(82,plain,
! [SV7: a > $o,SV5: a > $o] :
( ( ( ( sK1_X @ SV7 )
= ( sK1_X
@ ^ [SX0: a] :
( ( SV5 @ SX0 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
= $false )
| ( ( t
= ( sK5_E @ t @ SV7 ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(res,[status(thm)],[80,42]) ).
thf(83,plain,
! [SV7: a > $o,SV5: a > $o] :
( ( ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
= ( sK1_X
@ ^ [SX0: a] :
( ( SV5 @ SX0 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( sK1_X @ SV7 )
= $false )
| ( ( t
= ( sK5_E @ t @ SV7 ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(res,[status(thm)],[80,42]) ).
thf(85,plain,
! [SV7: a > $o] :
( ( ( ( sK1_X @ SV7 )
= ( sK1_X
@ ^ [SX0: a] :
( $false
| ( t = SX0 ) ) ) )
= $false )
| ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
= $false )
| ( ( t
= ( sK5_E @ t @ SV7 ) )
= $false ) ),
inference(res,[status(thm)],[80,33]) ).
thf(86,plain,
! [SV7: a > $o] :
( ( ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
= ( sK1_X
@ ^ [SX0: a] :
( $false
| ( t = SX0 ) ) ) )
= $false )
| ( ( sK1_X @ SV7 )
= $false )
| ( ( t
= ( sK5_E @ t @ SV7 ) )
= $false ) ),
inference(res,[status(thm)],[80,33]) ).
thf(88,plain,
! [SV7: a > $o,SV3: a > $o,SV4: a] :
( ( ( ( sK1_X @ SV7 )
= ( sK1_X
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( SV4 = SX0 ) ) ) )
= $false )
| ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
= $false )
| ( ( t
= ( sK5_E @ t @ SV7 ) )
= $false )
| ( ( t = SV4 )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(res,[status(thm)],[80,25]) ).
thf(89,plain,
! [SV7: a > $o,SV3: a > $o,SV4: a] :
( ( ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
= ( sK1_X
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( SV4 = SX0 ) ) ) )
= $false )
| ( ( sK1_X @ SV7 )
= $false )
| ( ( t
= ( sK5_E @ t @ SV7 ) )
= $false )
| ( ( t = SV4 )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(res,[status(thm)],[80,25]) ).
thf(90,plain,
! [SV7: a > $o] :
( ( ( ( t
= ( sK5_E @ t @ SV7 ) )
= ( t = sK2_E ) )
= $false )
| ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
= $false )
| ( ( sK1_X @ SV7 )
= $false ) ),
inference(res,[status(thm)],[80,24]) ).
thf(92,plain,
! [SV7: a > $o] :
( ( ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
= ( t = sK2_E ) )
= $false )
| ( ( sK1_X @ SV7 )
= $false )
| ( ( t
= ( sK5_E @ t @ SV7 ) )
= $false ) ),
inference(res,[status(thm)],[80,24]) ).
thf(95,plain,
! [SV7: a > $o] :
( ( ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
= ( sK1_X
@ ^ [Xy: a] : $false ) )
= $false )
| ( ( sK1_X @ SV7 )
= $false )
| ( ( t
= ( sK5_E @ t @ SV7 ) )
= $false ) ),
inference(res,[status(thm)],[80,11]) ).
thf(119,plain,
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] : $false ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[95:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : $false ) ))]]) ).
thf(120,plain,
! [SV57: a > a > $o] :
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] : ( sK1_X @ ( SV57 @ SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] : ( sK1_X @ ( SV57 @ SX0 ) ) )
= $false )
| ( ( sK1_X
@ ( SV57
@ ( sK5_E @ t
@ ^ [SX0: a] : ( sK1_X @ ( SV57 @ SX0 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] : $false )
= $true ) ),
inference(extuni,[status(esa)],[95:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ( SV57 @ SX0 ) ) ))]]) ).
thf(121,plain,
! [SV57: a > a > $o] :
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] : ( sK1_X @ ( SV57 @ SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] : ( sK1_X @ ( SV57 @ SX0 ) ) )
= $false )
| ( ( sK1_X
@ ( SV57
@ ( sK5_E @ t
@ ^ [SX0: a] : ( sK1_X @ ( SV57 @ SX0 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extuni,[status(esa)],[95:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ( SV57 @ SX0 ) ) ))]]) ).
thf(123,plain,
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] : ( SX0 = SX0 ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] : ( SX0 = SX0 ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] : ( SX0 = SX0 ) )
= sK2_E )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] : ( SX0 = SX0 ) )
= t )
= $false ) ),
inference(extuni,[status(esa)],[92:[bind(SV7,$thf( ^ [SX0: a] : ( SX0 = SX0 ) ))]]) ).
thf(124,plain,
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] : ( sK2_E = SX0 ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] : ( sK2_E = SX0 ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] : ( sK2_E = SX0 ) )
= t )
= $false ) ),
inference(extuni,[status(esa)],[92:[bind(SV7,$thf( ^ [SX0: a] : ( sK2_E = SX0 ) ))]]) ).
thf(125,plain,
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] : ( SX0 = t ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] : ( SX0 = t ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] : ( SX0 = t ) )
= sK2_E )
= $false ) ),
inference(extuni,[status(esa)],[92:[bind(SV7,$thf( ^ [SX0: a] : ( SX0 = t ) ))]]) ).
thf(126,plain,
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] : ( sK2_E = t ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] : ( sK2_E = t ) )
= $false ) ),
inference(extuni,[status(esa)],[92:[bind(SV7,$thf( ^ [SX0: a] : ( sK2_E = t ) ))]]) ).
thf(127,plain,
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] : ( SX0 = SX0 ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] : ( SX0 = SX0 ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] : ( SX0 = SX0 ) )
= sK2_E )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] : ( SX0 = SX0 ) )
= t )
= $false ) ),
inference(extuni,[status(esa)],[92:[bind(SV7,$thf( ^ [SX0: a] : ( SX0 = SX0 ) ))]]) ).
thf(128,plain,
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] : ( SX0 = sK2_E ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] : ( SX0 = sK2_E ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] : ( SX0 = sK2_E ) )
= t )
= $false ) ),
inference(extuni,[status(esa)],[92:[bind(SV7,$thf( ^ [SX0: a] : ( SX0 = sK2_E ) ))]]) ).
thf(129,plain,
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] : ( t = SX0 ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] : ( t = SX0 ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] : ( t = SX0 ) )
= sK2_E )
= $false ) ),
inference(extuni,[status(esa)],[92:[bind(SV7,$thf( ^ [SX0: a] : ( t = SX0 ) ))]]) ).
thf(130,plain,
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] : ( t = sK2_E ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] : ( t = sK2_E ) )
= $false ) ),
inference(extuni,[status(esa)],[92:[bind(SV7,$thf( ^ [SX0: a] : ( t = sK2_E ) ))]]) ).
thf(131,plain,
! [SV65: a > a,SV64: a > a] :
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV64 @ SX0 )
= ( SV65 @ SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( ( SV64 @ SX0 )
= ( SV65 @ SX0 ) ) )
= $false )
| ( ( ( SV64
@ ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV64 @ SX0 )
= ( SV65 @ SX0 ) ) ) )
= ( SV65
@ ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV64 @ SX0 )
= ( SV65 @ SX0 ) ) ) ) )
= $true )
| ( ( t = sK2_E )
= $true ) ),
inference(extuni,[status(esa)],[92:[bind(SV7,$thf( ^ [SX0: a] : ( ( SV64 @ SX0 ) = ( SV65 @ SX0 ) ) ))]]) ).
thf(132,plain,
! [SV65: a > a,SV64: a > a] :
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV64 @ SX0 )
= ( SV65 @ SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( ( SV64 @ SX0 )
= ( SV65 @ SX0 ) ) )
= $false )
| ( ( ( SV64
@ ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV64 @ SX0 )
= ( SV65 @ SX0 ) ) ) )
= ( SV65
@ ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV64 @ SX0 )
= ( SV65 @ SX0 ) ) ) ) )
= $false )
| ( ( t = sK2_E )
= $false ) ),
inference(extuni,[status(esa)],[92:[bind(SV7,$thf( ^ [SX0: a] : ( ( SV64 @ SX0 ) = ( SV65 @ SX0 ) ) ))]]) ).
thf(133,plain,
! [SV7: a > $o] :
( ( ( sK1_X @ SV7 )
= $false )
| ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
= $false )
| ( ( t = sK2_E )
= $false )
| ( ( ( sK5_E @ t @ SV7 )
= t )
= $false ) ),
inference(extuni,[status(esa)],[90]) ).
thf(134,plain,
! [SV7: a > $o] :
( ( ( sK1_X @ SV7 )
= $false )
| ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
= $false )
| ( ( ( sK5_E @ t @ SV7 )
= sK2_E )
= $false ) ),
inference(extuni,[status(esa)],[90]) ).
thf(135,plain,
! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
( ( ( sK1_X @ SV3 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[89:[bind(SV4,$thf( t )),bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( ( SV91 @ SX0 @ SX1 ) = ( SV92 @ SX0 @ SX1 ) ) | ( SV86 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(136,plain,
! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
( ( ( sK1_X @ SV3 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[89:[bind(SV4,$thf( t )),bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( ( SV91 @ SX0 @ SX1 ) = ( SV92 @ SX0 @ SX1 ) ) | ( SV86 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(137,plain,
! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
( ( ( sK1_X @ SV3 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[89:[bind(SV4,$thf( t )),bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV85 @ SX0 @ SX1 ) | ( ( SV97 @ SX0 @ SX1 ) = ( SV98 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(138,plain,
! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
( ( ( sK1_X @ SV3 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[89:[bind(SV4,$thf( t )),bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV85 @ SX0 @ SX1 ) | ( ( SV97 @ SX0 @ SX1 ) = ( SV98 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(139,plain,
! [SV86: a > a > $o,SV85: a > a > $o,SV3: a > $o] :
( ( ( sK1_X @ SV3 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
| ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
| ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[89:[bind(SV4,$thf( t )),bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV85 @ SX0 @ SX1 ) | ( SV86 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(140,plain,
! [SV86: a > a > $o,SV85: a > a > $o,SV3: a > $o] :
( ( ( sK1_X @ SV3 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
| ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
| ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[89:[bind(SV4,$thf( t )),bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV85 @ SX0 @ SX1 ) | ( SV86 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(141,plain,
! [SV80: a > a > $o,SV3: a > $o] :
( ( ( sK1_X @ SV3 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] : ( sK1_X @ ( SV80 @ SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] : ( sK1_X @ ( SV80 @ SX0 ) ) )
= $false )
| ( ( sK1_X
@ ( SV80
@ ( sK5_E @ t
@ ^ [SX0: a] : ( sK1_X @ ( SV80 @ SX0 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( t = SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[89:[bind(SV4,$thf( t )),bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ( SV80 @ SX0 ) ) ))]]) ).
thf(142,plain,
! [SV80: a > a > $o,SV3: a > $o] :
( ( ( sK1_X @ SV3 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] : ( sK1_X @ ( SV80 @ SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] : ( sK1_X @ ( SV80 @ SX0 ) ) )
= $false )
| ( ( sK1_X
@ ( SV80
@ ( sK5_E @ t
@ ^ [SX0: a] : ( sK1_X @ ( SV80 @ SX0 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( t = SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[89:[bind(SV4,$thf( t )),bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ( SV80 @ SX0 ) ) ))]]) ).
thf(143,plain,
! [SV3: a > $o] :
( ( ( sK1_X @ SV3 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( ( SV3
@ ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( t = SX0 ) ) ) )
| ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( t = SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[88:[bind(SV4,$thf( t )),bind(SV7,$thf( ^ [SX0: a] : ( ( SV3 @ SX0 ) | ( t = SX0 ) ) ))]]) ).
thf(144,plain,
! [SV117: a > a > a,SV116: a > a > a] :
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV116 @ SX0 @ SX1 )
= ( SV117 @ SX0 @ SX1 ) )
| $false ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV116 @ SX0 @ SX1 )
= ( SV117 @ SX0 @ SX1 ) )
| $false ) ) )
= $false )
| ( ( ( SV116
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV116 @ SX0 @ SX1 )
= ( SV117 @ SX0 @ SX1 ) )
| $false ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( ( SV116 @ SX0 @ SX1 )
= ( SV117 @ SX0 @ SX1 ) )
| $false ) ) )
= ( SV117
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV116 @ SX0 @ SX1 )
= ( SV117 @ SX0 @ SX1 ) )
| $false ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( ( SV116 @ SX0 @ SX1 )
= ( SV117 @ SX0 @ SX1 ) )
| $false ) ) ) )
= $true )
| ( ( t
= ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( ( SV116 @ SX0 @ SX1 )
= ( SV117 @ SX0 @ SX1 ) )
| $false ) ) )
= $true ) ),
inference(extuni,[status(esa)],[86:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( ( SV116 @ SX0 @ SX1 ) = ( SV117 @ SX0 @ SX1 ) ) | $false ) ) ))]]) ).
thf(145,plain,
! [SV117: a > a > a,SV116: a > a > a] :
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV116 @ SX0 @ SX1 )
= ( SV117 @ SX0 @ SX1 ) )
| $false ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV116 @ SX0 @ SX1 )
= ( SV117 @ SX0 @ SX1 ) )
| $false ) ) )
= $false )
| ( ( ( SV116
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV116 @ SX0 @ SX1 )
= ( SV117 @ SX0 @ SX1 ) )
| $false ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( ( SV116 @ SX0 @ SX1 )
= ( SV117 @ SX0 @ SX1 ) )
| $false ) ) )
= ( SV117
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV116 @ SX0 @ SX1 )
= ( SV117 @ SX0 @ SX1 ) )
| $false ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( ( SV116 @ SX0 @ SX1 )
= ( SV117 @ SX0 @ SX1 ) )
| $false ) ) ) )
= $false )
| ( ( t
= ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( ( SV116 @ SX0 @ SX1 )
= ( SV117 @ SX0 @ SX1 ) )
| $false ) ) )
= $false ) ),
inference(extuni,[status(esa)],[86:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( ( SV116 @ SX0 @ SX1 ) = ( SV117 @ SX0 @ SX1 ) ) | $false ) ) ))]]) ).
thf(146,plain,
! [SV165: a > a > a,SV164: a > a > a] :
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( $false
| ( ( SV164 @ SX0 @ SX1 )
= ( SV165 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( $false
| ( ( SV164 @ SX0 @ SX1 )
= ( SV165 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV164
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( $false
| ( ( SV164 @ SX0 @ SX1 )
= ( SV165 @ SX0 @ SX1 ) ) ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( $false
| ( ( SV164 @ SX0 @ SX1 )
= ( SV165 @ SX0 @ SX1 ) ) ) ) )
= ( SV165
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( $false
| ( ( SV164 @ SX0 @ SX1 )
= ( SV165 @ SX0 @ SX1 ) ) ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( $false
| ( ( SV164 @ SX0 @ SX1 )
= ( SV165 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( t
= ( sK22_E
@ ^ [SX0: a,SX1: a] :
( $false
| ( ( SV164 @ SX0 @ SX1 )
= ( SV165 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[86:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( $false | ( ( SV164 @ SX0 @ SX1 ) = ( SV165 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(147,plain,
! [SV165: a > a > a,SV164: a > a > a] :
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( $false
| ( ( SV164 @ SX0 @ SX1 )
= ( SV165 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( $false
| ( ( SV164 @ SX0 @ SX1 )
= ( SV165 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV164
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( $false
| ( ( SV164 @ SX0 @ SX1 )
= ( SV165 @ SX0 @ SX1 ) ) ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( $false
| ( ( SV164 @ SX0 @ SX1 )
= ( SV165 @ SX0 @ SX1 ) ) ) ) )
= ( SV165
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( $false
| ( ( SV164 @ SX0 @ SX1 )
= ( SV165 @ SX0 @ SX1 ) ) ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( $false
| ( ( SV164 @ SX0 @ SX1 )
= ( SV165 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK22_E
@ ^ [SX0: a,SX1: a] :
( $false
| ( ( SV164 @ SX0 @ SX1 )
= ( SV165 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[86:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( $false | ( ( SV164 @ SX0 @ SX1 ) = ( SV165 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(148,plain,
! [SV107: a > a > $o,SV106: a > a > $o] :
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV106
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
| ( SV107
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( $false
| ( t
= ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[86:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV106 @ SX0 @ SX1 ) | ( SV107 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(149,plain,
! [SV107: a > a > $o,SV106: a > a > $o] :
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV106
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
| ( SV107
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( $false
| ( t
= ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[86:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV106 @ SX0 @ SX1 ) | ( SV107 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(150,plain,
! [SV101: a > a > $o] :
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] : ( sK1_X @ ( SV101 @ SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] : ( sK1_X @ ( SV101 @ SX0 ) ) )
= $false )
| ( ( sK1_X
@ ( SV101
@ ( sK5_E @ t
@ ^ [SX0: a] : ( sK1_X @ ( SV101 @ SX0 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( $false
| ( t = SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[86:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ( SV101 @ SX0 ) ) ))]]) ).
thf(151,plain,
! [SV101: a > a > $o] :
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] : ( sK1_X @ ( SV101 @ SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] : ( sK1_X @ ( SV101 @ SX0 ) ) )
= $false )
| ( ( sK1_X
@ ( SV101
@ ( sK5_E @ t
@ ^ [SX0: a] : ( sK1_X @ ( SV101 @ SX0 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( $false
| ( t = SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[86:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ( SV101 @ SX0 ) ) ))]]) ).
thf(152,plain,
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( $false
| ( t = SX0 ) ) ) )
= $false )
| ( ( $false
| ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( $false
| ( t = SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[85:[bind(SV7,$thf( ^ [SX0: a] : ( $false | ( t = SX0 ) ) ))]]) ).
thf(153,plain,
! [SV5: a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV212: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV239
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV240
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) = SX1 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(154,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX1 = SX1 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(155,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX0 = SX1 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(156,plain,
! [SV5: a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV212: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV233
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV234
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) ) = SX0 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(157,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX1 = SX0 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(158,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX0 = SX0 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(159,plain,
! [SV5: a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV212: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV227
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV228
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) ) = t ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(160,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX1 = t ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(161,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX0 = t ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(162,plain,
! [SV5: a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV212: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV261
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV262
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX1 = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(163,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX1 = SX1 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(164,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX1 = SX0 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(165,plain,
! [SV5: a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV212: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV255
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV256
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX0 = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(166,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX0 = SX1 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(167,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX0 = SX0 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(168,plain,
! [SV5: a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV212: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV249
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV250
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( t = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(169,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( t = SX1 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(170,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( t = SX0 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(171,plain,
! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( ( SV217 @ SX0 @ SX1 ) = ( SV218 @ SX0 @ SX1 ) ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(172,plain,
! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( ( SV217 @ SX0 @ SX1 ) = ( SV218 @ SX0 @ SX1 ) ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(173,plain,
! [SV5: a > $o,SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV289
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( SV290
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) )
= t )
= $false )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) ) = SX1 ) ) ) ))]]) ).
thf(174,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX1 = SX1 ) ) ) ))]]) ).
thf(175,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= t )
= $false )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX0 = SX1 ) ) ) ))]]) ).
thf(176,plain,
! [SV5: a > $o,SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV283
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( SV284
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= t )
= $false )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) ) = SX0 ) ) ) ))]]) ).
thf(177,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX1 = SX0 ) ) ) ))]]) ).
thf(178,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX0 = SX0 ) ) ) ))]]) ).
thf(179,plain,
! [SV5: a > $o,SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV277
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( SV278
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) ) = t ) ) ) ))]]) ).
thf(180,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
= $false )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX1 = t ) ) ) ))]]) ).
thf(181,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX0 = t ) ) ) ))]]) ).
thf(182,plain,
! [SV5: a > $o,SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV311
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV312
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
= t )
= $false )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX1 = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(183,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX1 = SX1 ) ) ) ))]]) ).
thf(184,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) )
= t )
= $false )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX1 = SX0 ) ) ) ))]]) ).
thf(185,plain,
! [SV5: a > $o,SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV305
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV306
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= t )
= $false )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX0 = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(186,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= t )
= $false )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX0 = SX1 ) ) ) ))]]) ).
thf(187,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX0 = SX0 ) ) ) ))]]) ).
thf(188,plain,
! [SV5: a > $o,SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV299
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV300
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( t = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(189,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
= $false )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( t = SX1 ) ) ) ))]]) ).
thf(190,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( t = SX0 ) ) ) ))]]) ).
thf(191,plain,
! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( ( SV267 @ SX0 @ SX1 ) = ( SV268 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(192,plain,
! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( ( SV267 @ SX0 @ SX1 ) = ( SV268 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(193,plain,
! [SV212: a > a > $o,SV211: a > a > $o,SV5: a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(194,plain,
! [SV212: a > a > $o,SV211: a > a > $o,SV5: a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(195,plain,
! [SV206: a > a > $o,SV5: a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] : ( sK1_X @ ( SV206 @ SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] : ( sK1_X @ ( SV206 @ SX0 ) ) )
= $false )
| ( ( sK1_X
@ ( SV206
@ ( sK5_E @ t
@ ^ [SX0: a] : ( sK1_X @ ( SV206 @ SX0 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( ( SV5 @ SX0 )
| ( t = SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ( SV206 @ SX0 ) ) ))]]) ).
thf(196,plain,
! [SV206: a > a > $o,SV5: a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] : ( sK1_X @ ( SV206 @ SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] : ( sK1_X @ ( SV206 @ SX0 ) ) )
= $false )
| ( ( sK1_X
@ ( SV206
@ ( sK5_E @ t
@ ^ [SX0: a] : ( sK1_X @ ( SV206 @ SX0 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( ( SV5 @ SX0 )
| ( t = SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ( SV206 @ SX0 ) ) ))]]) ).
thf(197,plain,
! [SV5: a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV5 @ SX0 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( ( SV5
@ ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV5 @ SX0 )
| ( t = SX0 ) ) ) )
| ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV5 @ SX0 )
| ( t = SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[82:[bind(SV7,$thf( ^ [SX0: a] : ( ( SV5 @ SX0 ) | ( t = SX0 ) ) ))]]) ).
thf(198,plain,
! [SV3: a > $o,SV86: a > a > $o,SV85: a > a > $o] :
( ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
| ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(199,plain,
! [SV3: a > $o,SV85: a > a > $o,SV86: a > a > $o] :
( ( ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
| ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(200,plain,
! [SV3: a > $o,SV86: a > a > $o,SV85: a > a > $o] :
( ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
| ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(201,plain,
! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
( ( ( ~ ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
| ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
| ~ ( ~ ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
| ~ ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[138]) ).
thf(202,plain,
! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
( ( ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[138]) ).
thf(203,plain,
! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
( ( ( ~ ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
| ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
| ~ ( ~ ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
| ~ ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[137]) ).
thf(204,plain,
! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
( ( ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[137]) ).
thf(205,plain,
! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
( ( ( ~ ( ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
| ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
| ~ ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[136]) ).
thf(206,plain,
! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
( ( ( ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[136]) ).
thf(207,plain,
! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
( ( ( ~ ( ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
| ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
| ~ ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[135]) ).
thf(208,plain,
! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
( ( ( ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[135]) ).
thf(209,plain,
! [SV3: a > $o] :
( ( ( SV3
@ ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(210,plain,
! [SV3: a > $o] :
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(211,plain,
! [SV107: a > a > $o,SV106: a > a > $o] :
( ( ( SV106
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( $false
| ( t
= ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(212,plain,
! [SV106: a > a > $o,SV107: a > a > $o] :
( ( ( SV107
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( $false
| ( t
= ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(213,plain,
! [SV107: a > a > $o,SV106: a > a > $o] :
( ( ( SV106
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV107
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( $false
| ( t
= ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(215,plain,
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( $false
| ( t = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( $false
| ( t = SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(216,plain,
! [SV5: a > $o,SV212: a > a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false )
| ( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(217,plain,
! [SV5: a > $o,SV211: a > a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false )
| ( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(218,plain,
! [SV5: a > $o,SV212: a > a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false )
| ( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(219,plain,
! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
| ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[192]) ).
thf(220,plain,
! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[192]) ).
thf(221,plain,
! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
| ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[191]) ).
thf(222,plain,
! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[191]) ).
thf(223,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) )
| ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[190]) ).
thf(224,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[190]) ).
thf(225,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) )
| ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[189]) ).
thf(226,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[189]) ).
thf(227,plain,
! [SV5: a > $o,SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
| ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV299
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV300
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[188]) ).
thf(228,plain,
! [SV5: a > $o,SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV299
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV300
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[188]) ).
thf(229,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
| ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[187]) ).
thf(230,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[187]) ).
thf(231,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
| ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[186]) ).
thf(232,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[186]) ).
thf(233,plain,
! [SV5: a > $o,SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
| ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV305
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV306
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[185]) ).
thf(234,plain,
! [SV5: a > $o,SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV305
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV306
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[185]) ).
thf(235,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
| ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[184]) ).
thf(236,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[184]) ).
thf(237,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
| ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[183]) ).
thf(238,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[183]) ).
thf(239,plain,
! [SV5: a > $o,SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
| ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV311
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV312
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[182]) ).
thf(240,plain,
! [SV5: a > $o,SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV311
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV312
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[182]) ).
thf(241,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) )
| ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[181]) ).
thf(242,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[181]) ).
thf(243,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) )
| ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[180]) ).
thf(244,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[180]) ).
thf(245,plain,
! [SV5: a > $o,SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
| ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV277
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( SV278
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[179]) ).
thf(246,plain,
! [SV5: a > $o,SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV277
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( SV278
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[179]) ).
thf(247,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
| ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[178]) ).
thf(248,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[178]) ).
thf(249,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
| ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[177]) ).
thf(250,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[177]) ).
thf(251,plain,
! [SV5: a > $o,SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
| ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV283
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( SV284
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[176]) ).
thf(252,plain,
! [SV5: a > $o,SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV283
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( SV284
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[176]) ).
thf(253,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
| ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[175]) ).
thf(254,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[175]) ).
thf(255,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
| ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[174]) ).
thf(256,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[174]) ).
thf(257,plain,
! [SV5: a > $o,SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
| ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV289
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( SV290
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[173]) ).
thf(258,plain,
! [SV5: a > $o,SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV289
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( SV290
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[173]) ).
thf(259,plain,
! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[172]) ).
thf(260,plain,
! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[172]) ).
thf(261,plain,
! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[171]) ).
thf(262,plain,
! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[171]) ).
thf(263,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[170]) ).
thf(264,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[170]) ).
thf(265,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[169]) ).
thf(266,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[169]) ).
thf(267,plain,
! [SV5: a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV249
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV250
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[168]) ).
thf(268,plain,
! [SV5: a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV249
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV250
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[168]) ).
thf(269,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[167]) ).
thf(270,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[167]) ).
thf(271,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[166]) ).
thf(272,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[166]) ).
thf(273,plain,
! [SV5: a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV255
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV256
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[165]) ).
thf(274,plain,
! [SV5: a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV255
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV256
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[165]) ).
thf(275,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[164]) ).
thf(276,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[164]) ).
thf(277,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[163]) ).
thf(278,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[163]) ).
thf(279,plain,
! [SV5: a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV261
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV262
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[162]) ).
thf(280,plain,
! [SV5: a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV261
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV262
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[162]) ).
thf(281,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[161]) ).
thf(282,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[161]) ).
thf(283,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[160]) ).
thf(284,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[160]) ).
thf(285,plain,
! [SV5: a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV227
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV228
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[159]) ).
thf(286,plain,
! [SV5: a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV227
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV228
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[159]) ).
thf(287,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[158]) ).
thf(288,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[158]) ).
thf(289,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[157]) ).
thf(290,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[157]) ).
thf(291,plain,
! [SV5: a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV233
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV234
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[156]) ).
thf(292,plain,
! [SV5: a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV233
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV234
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[156]) ).
thf(293,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[155]) ).
thf(294,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[155]) ).
thf(295,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[154]) ).
thf(296,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[154]) ).
thf(297,plain,
! [SV5: a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
| ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV239
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV240
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[153]) ).
thf(298,plain,
! [SV5: a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV239
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV240
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[153]) ).
thf(299,plain,
! [SV5: a > $o] :
( ( ( SV5
@ ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV5 @ SX0 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV5 @ SX0 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(300,plain,
! [SV5: a > $o] :
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV5 @ SX0 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV5 @ SX0 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(301,plain,
! [SV86: a > a > $o,SV85: a > a > $o,SV3: a > $o] :
( ( ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(302,plain,
! [SV86: a > a > $o,SV85: a > a > $o,SV3: a > $o] :
( ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(303,plain,
! [SV86: a > a > $o,SV85: a > a > $o,SV3: a > $o] :
( ( ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(304,plain,
! [SV86: a > a > $o,SV85: a > a > $o,SV3: a > $o] :
( ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(305,plain,
! [SV86: a > a > $o,SV85: a > a > $o,SV3: a > $o] :
( ( ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(306,plain,
! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
( ( ( ~ ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
| ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(307,plain,
! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
( ( ( ~ ( ~ ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
| ~ ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(308,plain,
! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
( ( ( ~ ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
| ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(309,plain,
! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
( ( ( ~ ( ~ ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
| ~ ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(310,plain,
! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
( ( ( ~ ( ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
| ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(311,plain,
! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
( ( ( ~ ( ~ ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
| ~ ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(312,plain,
! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
( ( ( ~ ( ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
| ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(313,plain,
! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
( ( ( ~ ( ~ ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
| ~ ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(315,plain,
! [SV107: a > a > $o,SV106: a > a > $o] :
( ( ( t
= ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV106
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(317,plain,
! [SV107: a > a > $o,SV106: a > a > $o] :
( ( ( t
= ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV107
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(318,plain,
! [SV107: a > a > $o,SV106: a > a > $o] :
( ( $false = $true )
| ( ( t
= ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV107
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV106
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(319,plain,
! [SV212: a > a > $o,SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(320,plain,
! [SV212: a > a > $o,SV211: a > a > $o,SV5: a > $o] :
( ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(321,plain,
! [SV212: a > a > $o,SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(322,plain,
! [SV212: a > a > $o,SV211: a > a > $o,SV5: a > $o] :
( ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(323,plain,
! [SV212: a > a > $o,SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(324,plain,
! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(325,plain,
! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
( ( ( ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(326,plain,
! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(327,plain,
! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
( ( ( ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(328,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(329,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(330,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(331,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(332,plain,
! [SV5: a > $o,SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV299
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV300
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(333,plain,
! [SV5: a > $o,SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV299
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV300
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(334,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(335,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(336,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(337,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(338,plain,
! [SV5: a > $o,SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV305
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV306
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(339,plain,
! [SV5: a > $o,SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV305
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV306
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(340,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(341,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(342,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[237]) ).
thf(343,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[237]) ).
thf(344,plain,
! [SV5: a > $o,SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV311
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV312
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(345,plain,
! [SV5: a > $o,SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV311
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV312
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(346,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(347,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(348,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(349,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(350,plain,
! [SV5: a > $o,SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV277
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( SV278
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(351,plain,
! [SV5: a > $o,SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV277
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( SV278
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(352,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[247]) ).
thf(353,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[247]) ).
thf(354,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(355,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(356,plain,
! [SV5: a > $o,SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV283
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( SV284
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(357,plain,
! [SV5: a > $o,SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV283
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( SV284
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(358,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(359,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(360,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(361,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(362,plain,
! [SV5: a > $o,SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV289
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( SV290
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(363,plain,
! [SV5: a > $o,SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV289
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( SV290
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(364,plain,
! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(365,plain,
! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
( ( ( ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(366,plain,
! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(367,plain,
! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
( ( ( ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(368,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(369,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(370,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(371,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(372,plain,
! [SV5: a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV249
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV250
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(373,plain,
! [SV5: a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV249
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV250
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(374,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(375,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(376,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[271]) ).
thf(377,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[271]) ).
thf(378,plain,
! [SV5: a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV255
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV256
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(379,plain,
! [SV5: a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV255
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV256
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(380,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(381,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(382,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[277]) ).
thf(383,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[277]) ).
thf(384,plain,
! [SV5: a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV261
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV262
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(385,plain,
! [SV5: a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV261
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV262
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(386,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(387,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(388,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(389,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(390,plain,
! [SV5: a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV227
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV228
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[285]) ).
thf(391,plain,
! [SV5: a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV227
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV228
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[285]) ).
thf(392,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(393,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(394,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(395,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(396,plain,
! [SV5: a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV233
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV234
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(397,plain,
! [SV5: a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV233
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV234
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(398,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(399,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(400,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(401,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(402,plain,
! [SV5: a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV239
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV240
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(403,plain,
! [SV5: a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV239
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV240
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(404,plain,
! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
( ( ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
| ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(405,plain,
! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
( ( ( ~ ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
| ~ ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(406,plain,
! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
( ( ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
| ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(407,plain,
! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
( ( ( ~ ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
| ~ ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(408,plain,
! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
( ( ( ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
| ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(409,plain,
! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
( ( ( ~ ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
| ~ ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(410,plain,
! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
( ( ( ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
| ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(411,plain,
! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
( ( ( ~ ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
| ~ ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(412,plain,
! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(413,plain,
! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(414,plain,
! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(415,plain,
! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(416,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(417,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(418,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(419,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(420,plain,
! [SV5: a > $o,SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( sK23_E
@ ( SV299
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV300
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(421,plain,
! [SV5: a > $o,SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( sK23_E
@ ( SV299
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV300
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(422,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[334]) ).
thf(423,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[335]) ).
thf(424,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(425,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(426,plain,
! [SV5: a > $o,SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV305
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV306
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(427,plain,
! [SV5: a > $o,SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV305
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV306
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[339]) ).
thf(428,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[340]) ).
thf(429,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[341]) ).
thf(430,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(431,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(432,plain,
! [SV5: a > $o,SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV311
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV312
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(433,plain,
! [SV5: a > $o,SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV311
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV312
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(434,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(435,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(436,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(437,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(438,plain,
! [SV5: a > $o,SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= $true )
| ( ( ( sK23_E
@ ( SV277
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( SV278
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(439,plain,
! [SV5: a > $o,SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= $true )
| ( ( ( sK23_E
@ ( SV277
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( SV278
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(440,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(441,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(442,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(443,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(444,plain,
! [SV5: a > $o,SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV283
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( SV284
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(445,plain,
! [SV5: a > $o,SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV283
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( SV284
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(446,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[358]) ).
thf(447,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(448,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(449,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(450,plain,
! [SV5: a > $o,SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o] :
( ( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV289
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( SV290
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(451,plain,
! [SV5: a > $o,SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV289
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( SV290
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(452,plain,
! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(453,plain,
! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[365]) ).
thf(454,plain,
! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[366]) ).
thf(455,plain,
! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(456,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(457,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[369]) ).
thf(458,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(459,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(460,plain,
! [SV5: a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E
@ ( SV249
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV250
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[372]) ).
thf(461,plain,
! [SV5: a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E
@ ( SV249
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV250
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[373]) ).
thf(462,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[374]) ).
thf(463,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[375]) ).
thf(464,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[376]) ).
thf(465,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(466,plain,
! [SV5: a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV255
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV256
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(467,plain,
! [SV5: a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV255
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV256
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[379]) ).
thf(468,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[380]) ).
thf(469,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(470,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[382]) ).
thf(471,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(472,plain,
! [SV5: a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV261
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV262
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(473,plain,
! [SV5: a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV261
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV262
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(474,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(475,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(476,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(477,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[389]) ).
thf(478,plain,
! [SV5: a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E
@ ( SV227
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV228
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[390]) ).
thf(479,plain,
! [SV5: a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E
@ ( SV227
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV228
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[391]) ).
thf(480,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[392]) ).
thf(481,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[393]) ).
thf(482,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(483,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[395]) ).
thf(484,plain,
! [SV5: a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV233
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV234
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[396]) ).
thf(485,plain,
! [SV5: a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV233
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV234
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[397]) ).
thf(486,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(487,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[399]) ).
thf(488,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[400]) ).
thf(489,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(490,plain,
! [SV5: a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV212: a > a > $o] :
( ( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV239
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV240
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[402]) ).
thf(491,plain,
! [SV5: a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
| ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV239
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV240
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(492,plain,
! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
( ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(493,plain,
! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
( ( ( ~ ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( ~ ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(494,plain,
! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
( ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[406]) ).
thf(495,plain,
! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
( ( ( ~ ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( ~ ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(496,plain,
! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
( ( ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(497,plain,
! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
( ( ( ~ ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(498,plain,
! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
( ( ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(499,plain,
! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
( ( ( ~ ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(500,plain,
! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(501,plain,
! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(502,plain,
! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(503,plain,
! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(504,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(505,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(506,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[418]) ).
thf(507,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(508,plain,
! [SV5: a > $o,SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( ( sK23_E
@ ( SV299
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV300
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(509,plain,
! [SV5: a > $o,SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( sK23_E
@ ( SV299
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV300
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(510,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(511,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(512,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(513,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[425]) ).
thf(514,plain,
! [SV5: a > $o,SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV305
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV306
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[426]) ).
thf(515,plain,
! [SV5: a > $o,SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV305
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV306
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[427]) ).
thf(516,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[428]) ).
thf(517,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[429]) ).
thf(518,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(519,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[431]) ).
thf(520,plain,
! [SV5: a > $o,SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV311
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV312
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[432]) ).
thf(521,plain,
! [SV5: a > $o,SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV311
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV312
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[433]) ).
thf(522,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[434]) ).
thf(523,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(524,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(525,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[437]) ).
thf(526,plain,
! [SV5: a > $o,SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $true )
| ( ( ( sK23_E
@ ( SV277
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( SV278
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(527,plain,
! [SV5: a > $o,SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= $true )
| ( ( ( sK23_E
@ ( SV277
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( SV278
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[439]) ).
thf(528,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(529,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(530,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[442]) ).
thf(531,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(532,plain,
! [SV5: a > $o,SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV283
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( SV284
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[444]) ).
thf(533,plain,
! [SV5: a > $o,SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV283
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( SV284
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[445]) ).
thf(534,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(535,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(536,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[448]) ).
thf(537,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[449]) ).
thf(538,plain,
! [SV5: a > $o,SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV289
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( SV290
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(539,plain,
! [SV5: a > $o,SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o] :
( ( ( ~ ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV289
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( SV290
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[451]) ).
thf(540,plain,
! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[452]) ).
thf(541,plain,
! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[453]) ).
thf(542,plain,
! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(543,plain,
! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[455]) ).
thf(544,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[456]) ).
thf(545,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[457]) ).
thf(546,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(547,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[459]) ).
thf(548,plain,
! [SV5: a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK23_E
@ ( SV249
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV250
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(549,plain,
! [SV5: a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E
@ ( SV249
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV250
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[461]) ).
thf(550,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(551,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[463]) ).
thf(552,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(553,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[465]) ).
thf(554,plain,
! [SV5: a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV255
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV256
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(555,plain,
! [SV5: a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV255
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV256
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[467]) ).
thf(556,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(557,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[469]) ).
thf(558,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(559,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[471]) ).
thf(560,plain,
! [SV5: a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV261
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV262
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(561,plain,
! [SV5: a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV261
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV262
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(562,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(563,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[475]) ).
thf(564,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[476]) ).
thf(565,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[477]) ).
thf(566,plain,
! [SV5: a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK23_E
@ ( SV227
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV228
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[478]) ).
thf(567,plain,
! [SV5: a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E
@ ( SV227
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV228
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[479]) ).
thf(568,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[480]) ).
thf(569,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[481]) ).
thf(570,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[482]) ).
thf(571,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(572,plain,
! [SV5: a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV233
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV234
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[484]) ).
thf(573,plain,
! [SV5: a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV233
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV234
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(574,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[486]) ).
thf(575,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(576,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(577,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(578,plain,
! [SV5: a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV239
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV240
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[490]) ).
thf(579,plain,
! [SV5: a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV212: a > a > $o] :
( ( ( ~ ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV239
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV240
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[491]) ).
thf(580,plain,
! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
( ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(581,plain,
! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
( ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(582,plain,
! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
( ( ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(583,plain,
! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
( ( ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(584,plain,
! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(585,plain,
! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(586,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(587,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(588,plain,
! [SV5: a > $o,SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( sK23_E
@ ( SV299
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV300
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(589,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(590,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(591,plain,
! [SV5: a > $o,SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV305
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV306
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(592,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(593,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(594,plain,
! [SV5: a > $o,SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV311
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV312
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(595,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(596,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(597,plain,
! [SV5: a > $o,SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= $true )
| ( ( ( sK23_E
@ ( SV277
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( SV278
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(598,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(599,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(600,plain,
! [SV5: a > $o,SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV283
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( SV284
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(601,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(602,plain,
! [SV5: a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(603,plain,
! [SV5: a > $o,SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o] :
( ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV289
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( SV290
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(604,plain,
! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(605,plain,
! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(606,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(607,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(608,plain,
! [SV5: a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E
@ ( SV249
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV250
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(609,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[551]) ).
thf(610,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(611,plain,
! [SV5: a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV255
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV256
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(612,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(613,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(614,plain,
! [SV5: a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV261
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV262
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(615,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(616,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(617,plain,
! [SV5: a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E
@ ( SV227
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV228
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(618,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(619,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(620,plain,
! [SV5: a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV233
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV234
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(621,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(622,plain,
! [SV5: a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(623,plain,
! [SV5: a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV212: a > a > $o] :
( ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV239
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV240
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(624,plain,
! [SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o,SV3: a > $o] :
( ( ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(625,plain,
! [SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o,SV3: a > $o] :
( ( ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV85
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV97
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= ( SV98
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV85 @ SX0 @ SX1 )
| ( ( SV97 @ SX0 @ SX1 )
= ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(626,plain,
! [SV86: a > a > $o,SV92: a > a > a,SV91: a > a > a,SV3: a > $o] :
( ( ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(627,plain,
! [SV86: a > a > $o,SV92: a > a > a,SV91: a > a > a,SV3: a > $o] :
( ( ( SV3
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV86
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV91
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= ( SV92
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( sK21_E @ t @ SV3
@ ^ [SX0: a,SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV91 @ SX0 @ SX1 )
= ( SV92 @ SX0 @ SX1 ) )
| ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(628,plain,
! [SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(629,plain,
! [SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV267
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= ( SV268
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( SV267 @ SX0 @ SX1 )
= ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(630,plain,
! [SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(631,plain,
! [SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(632,plain,
! [SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV299
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV300
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( t
= ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(633,plain,
! [SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(634,plain,
! [SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(635,plain,
! [SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV305
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV306
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0
= ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(636,plain,
! [SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(637,plain,
! [SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(638,plain,
! [SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV311
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( SV312
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1
= ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(639,plain,
! [SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(640,plain,
! [SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(641,plain,
! [SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV277
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( SV278
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
= t ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(642,plain,
! [SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(643,plain,
! [SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(644,plain,
! [SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV283
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( SV284
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(645,plain,
! [SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(646,plain,
! [SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( SX1 = SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(647,plain,
! [SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( SV211
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV289
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( SV290
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV211 @ SX0 @ SX1 )
| ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(648,plain,
! [SV212: a > a > $o,SV218: a > a > a,SV217: a > a > a,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[604]) ).
thf(649,plain,
! [SV212: a > a > $o,SV218: a > a > a,SV217: a > a > a,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( SV217
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( SV218
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( SV217 @ SX0 @ SX1 )
= ( SV218 @ SX0 @ SX1 ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(650,plain,
! [SV212: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(651,plain,
! [SV212: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(652,plain,
! [SV212: a > a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV249
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV250
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( t
= ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(653,plain,
! [SV212: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(654,plain,
! [SV212: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(655,plain,
! [SV212: a > a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV255
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV256
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0
= ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(656,plain,
! [SV212: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(657,plain,
! [SV212: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(658,plain,
! [SV212: a > a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV261
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV262
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1
= ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(659,plain,
! [SV212: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(660,plain,
! [SV212: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(661,plain,
! [SV212: a > a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK23_E
@ ( SV227
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV228
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
= t )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(662,plain,
! [SV212: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(663,plain,
! [SV212: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(664,plain,
! [SV212: a > a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV233
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV234
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
= SX0 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(665,plain,
! [SV212: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX0 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(666,plain,
! [SV212: a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SX1 = SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(667,plain,
! [SV212: a > a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV212
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) )
= t )
= $false )
| ( ( ( sK23_E
@ ( SV239
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( SV240
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= ( sK23_E @ SV5
@ ^ [SX0: a,SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
= SX1 )
| ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(668,plain,
! [SV3: a > $o] :
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(sim,[status(thm)],[210]) ).
thf(669,plain,
! [SV107: a > a > $o,SV106: a > a > $o] :
( ( ( t
= ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK1_X
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV107
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV106
@ ( sK5_E @ t
@ ^ [SX0: a] :
( sK1_X
@ ^ [SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
@ ( sK22_E
@ ^ [SX0: a,SX1: a] :
( ( SV106 @ SX0 @ SX1 )
| ( SV107 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[318]) ).
thf(670,plain,
( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( $false
| ( t = SX0 ) ) ) )
= $false ),
inference(sim,[status(thm)],[215]) ).
thf(671,plain,
! [SV5: a > $o] :
( ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV5 @ SX0 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(sim,[status(thm)],[300]) ).
thf(672,plain,
! [SV313: a > $o] :
( ( ( t
= ( sK5_E @ t @ SV313 ) )
= $false )
| ( ( sK1_X @ SV313 )
= $false ) ),
inference(rename,[status(thm)],[40]) ).
thf(673,plain,
! [SV313: a > $o,SV5: a > $o] :
( ( ( ( sK1_X @ SV313 )
= ( sK1_X
@ ^ [SX0: a] :
( ( SV5 @ SX0 )
| ( t = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t @ SV313 ) )
= $false )
| ( ( sK1_X @ SV5 )
= $false ) ),
inference(res,[status(thm)],[672,42]) ).
thf(675,plain,
! [SV313: a > $o] :
( ( ( ( sK1_X @ SV313 )
= ( sK1_X
@ ^ [SX0: a] :
( $false
| ( t = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t @ SV313 ) )
= $false ) ),
inference(res,[status(thm)],[672,33]) ).
thf(677,plain,
! [SV313: a > $o,SV3: a > $o,SV4: a] :
( ( ( ( sK1_X @ SV313 )
= ( sK1_X
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( SV4 = SX0 ) ) ) )
= $false )
| ( ( t
= ( sK5_E @ t @ SV313 ) )
= $false )
| ( ( t = SV4 )
= $false )
| ( ( sK1_X @ SV3 )
= $false ) ),
inference(res,[status(thm)],[672,25]) ).
thf(680,plain,
! [SV313: a > $o] :
( ( ( ( t
= ( sK5_E @ t @ SV313 ) )
= ( t = sK2_E ) )
= $false )
| ( ( sK1_X @ SV313 )
= $false ) ),
inference(res,[status(thm)],[672,24]) ).
thf(681,plain,
! [SV313: a > $o] :
( ( ( ( sK1_X @ SV313 )
= ( sK1_X
@ ^ [Xy: a] : $false ) )
= $false )
| ( ( t
= ( sK5_E @ t @ SV313 ) )
= $false ) ),
inference(res,[status(thm)],[672,11]) ).
thf(684,plain,
( ( t
= ( sK5_E @ t
@ ^ [SX0: a] : $false ) )
= $false ),
inference(extuni,[status(esa)],[681:[bind(SV313,$thf( ^ [SX0: a] : $false ))]]) ).
thf(685,plain,
! [SV313: a > $o] :
( ( ( sK1_X @ SV313 )
= $false )
| ( ( t = sK2_E )
= $false )
| ( ( ( sK5_E @ t @ SV313 )
= t )
= $false ) ),
inference(extuni,[status(esa)],[680]) ).
thf(686,plain,
! [SV313: a > $o] :
( ( ( sK1_X @ SV313 )
= $false )
| ( ( ( sK5_E @ t @ SV313 )
= sK2_E )
= $false ) ),
inference(extuni,[status(esa)],[680]) ).
thf(687,plain,
! [SV3: a > $o] :
( ( ( sK1_X @ SV3 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV3 @ SX0 )
| ( t = SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[677:[bind(SV4,$thf( t )),bind(SV313,$thf( ^ [SX0: a] : ( ( SV3 @ SX0 ) | ( t = SX0 ) ) ))]]) ).
thf(688,plain,
( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( $false
| ( t = SX0 ) ) ) )
= $false ),
inference(extuni,[status(esa)],[675:[bind(SV313,$thf( ^ [SX0: a] : ( $false | ( t = SX0 ) ) ))]]) ).
thf(689,plain,
! [SV5: a > $o] :
( ( ( sK1_X @ SV5 )
= $false )
| ( ( t
= ( sK5_E @ t
@ ^ [SX0: a] :
( ( SV5 @ SX0 )
| ( t = SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[673:[bind(SV313,$thf( ^ [SX0: a] : ( ( SV5 @ SX0 ) | ( t = SX0 ) ) ))]]) ).
thf(690,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,689,688,687,686,685,684,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,578,576,574,572,570,568,566,564,562,560,558,556,554,552,550,548,546,544,542,540,538,536,534,532,530,528,526,524,522,520,518,516,514,512,510,508,506,504,502,500,498,496,494,492,323,322,321,320,319,317,315,305,304,303,302,301,299,298,296,294,292,290,288,286,284,282,280,278,276,274,272,270,268,266,264,262,260,258,256,254,252,250,248,246,244,242,240,238,236,234,232,230,228,226,224,222,220,209,208,206,204,202,196,195,151,150,147,146,145,144,142,141,134,133,132,131,130,129,128,127,126,125,124,123,121,120,119,78,77,73,72,65,64,59,58,55,54,53,50,42,41,33,25,24,14]) ).
thf(691,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[690]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEU864^5 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sun Jun 19 01:26:53 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.15/0.37
% 0.15/0.37 No.of.Axioms: 0
% 0.15/0.37
% 0.15/0.37 Length.of.Defs: 0
% 0.15/0.37
% 0.15/0.37 Contains.Choice.Funs: false
% 0.15/0.37 (rf:0,axioms:0,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.43/0.60
% 0.43/0.60 Prim_subst applied to clause
% 0.43/0.60
% 0.43/0.60 80:[ 0:<SV7@((sK5_E@t)@SV7) = $false>-w(1)-i() 1:<sK1_X@SV7 = $false>-w(1)-i() 2:<t = ((sK5_E@t)@SV7) = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 37)-o(DERIVED)-fv([ SV7 ])
% 0.76/1.02 .......
% 47.17/47.34
% 47.17/47.34 ********************************
% 47.17/47.34 * All subproblems solved! *
% 47.17/47.34 ********************************
% 47.17/47.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:690,loop_count:10,foatp_calls:3,translation:fof_full)
% 47.92/48.14
% 47.92/48.14 %**** Beginning of derivation protocol ****
% 47.92/48.14 % SZS output start CNFRefutation
% See solution above
% 47.92/48.15
% 47.92/48.15 %**** End of derivation protocol ****
% 47.92/48.15 %**** no. of clauses in derivation: 636 ****
% 47.92/48.15 %**** clause counter: 690 ****
% 47.92/48.15
% 47.92/48.15 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:690,loop_count:10,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------