TSTP Solution File: SEU897^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU897^5 : 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 : n003.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 12:15:39 EDT 2022
% Result : Theorem 44.69s 44.95s
% Output : CNFRefutation 44.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 11
% Syntax : Number of formulae : 314 ( 53 unt; 10 typ; 0 def)
% Number of atoms : 4048 (1925 equ; 0 cnn)
% Maximal formula atoms : 8 ( 13 avg)
% Number of connectives : 5589 ( 173 ~;1031 |; 26 &;4338 @)
% ( 3 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 639 ( 639 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 5 con; 0-5 aty)
% Number of variables : 1333 ( 82 ^1237 !; 14 ?;1333 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_cR,type,
cR: a > $o ).
thf(tp_cS,type,
cS: a > $o ).
thf(tp_sK1_F,type,
sK1_F: a > a ).
thf(tp_sK2_SY5,type,
sK2_SY5: a ).
thf(tp_sK3_SY8,type,
sK3_SY8: a ).
thf(tp_sK4_Xx,type,
sK4_Xx: a ).
thf(tp_sK5_Xt,type,
sK5_Xt: a > ( a > a ) > a ).
thf(tp_sK6_E,type,
sK6_E: ( a > a ) > a > a > ( a > a > a ) > a ).
thf(tp_sK7_E,type,
sK7_E: ( a > a ) > ( a > a ) > a > a > ( a > a > a ) > a ).
thf(1,conjecture,
( ! [Xx: a] :
( ( cR @ Xx )
=> ( cS @ Xx ) )
<=> ! [F: a > a,Xx: a] :
( ? [Xt: a] :
( ( cR @ Xt )
& ( Xx
= ( F @ Xt ) ) )
=> ? [Xt: a] :
( ( cS @ Xt )
& ( Xx
= ( F @ Xt ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM30_pme) ).
thf(2,negated_conjecture,
( ( ! [Xx: a] :
( ( cR @ Xx )
=> ( cS @ Xx ) )
<=> ! [F: a > a,Xx: a] :
( ? [Xt: a] :
( ( cR @ Xt )
& ( Xx
= ( F @ Xt ) ) )
=> ? [Xt: a] :
( ( cS @ Xt )
& ( Xx
= ( F @ Xt ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xx: a] :
( ( cR @ Xx )
=> ( cS @ Xx ) )
<=> ! [F: a > a,Xx: a] :
( ? [Xt: a] :
( ( cR @ Xt )
& ( Xx
= ( F @ Xt ) ) )
=> ? [Xt: a] :
( ( cS @ Xt )
& ( Xx
= ( F @ Xt ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Xx: a] :
( ( cR @ Xx )
=> ( cS @ Xx ) )
=> ! [F: a > a,Xx: a] :
( ? [Xt: a] :
( ( cR @ Xt )
& ( Xx
= ( F @ Xt ) ) )
=> ? [Xt: a] :
( ( cS @ Xt )
& ( Xx
= ( F @ Xt ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(5,plain,
( ( ! [F: a > a,Xx: a] :
( ? [Xt: a] :
( ( cR @ Xt )
& ( Xx
= ( F @ Xt ) ) )
=> ? [Xt: a] :
( ( cS @ Xt )
& ( Xx
= ( F @ Xt ) ) ) )
=> ! [Xx: a] :
( ( cR @ Xx )
=> ( cS @ Xx ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(6,plain,
( ( ~ ( ! [Xx: a] :
( ( cR @ Xx )
=> ( cS @ Xx ) )
=> ! [F: a > a,Xx: a] :
( ? [Xt: a] :
( ( cR @ Xt )
& ( Xx
= ( F @ Xt ) ) )
=> ? [Xt: a] :
( ( cS @ Xt )
& ( Xx
= ( F @ Xt ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,plain,
( ( ~ ( ! [F: a > a,Xx: a] :
( ? [Xt: a] :
( ( cR @ Xt )
& ( Xx
= ( F @ Xt ) ) )
=> ? [Xt: a] :
( ( cS @ Xt )
& ( Xx
= ( F @ Xt ) ) ) )
=> ! [Xx: a] :
( ( cR @ Xx )
=> ( cS @ Xx ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(8,plain,
( ( ! [Xx: a] :
( ~ ( cR @ Xx )
| ( cS @ Xx ) )
& ( sK2_SY5
= ( sK1_F @ sK3_SY8 ) )
& ( cR @ sK3_SY8 )
& ! [SY9: a] :
( ( sK2_SY5
!= ( sK1_F @ SY9 ) )
| ~ ( cS @ SY9 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(9,plain,
( ( ! [F: a > a,Xx: a] :
( ! [Xt: a] :
( ( Xx
!= ( F @ Xt ) )
| ~ ( cR @ Xt ) )
| ( ( Xx
= ( F @ ( sK5_Xt @ Xx @ F ) ) )
& ( cS @ ( sK5_Xt @ Xx @ F ) ) ) )
& ( cR @ sK4_Xx )
& ~ ( cS @ sK4_Xx ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(10,plain,
( ( ! [Xx: a] :
( ~ ( cR @ Xx )
| ( cS @ Xx ) )
& ( sK2_SY5
= ( sK1_F @ sK3_SY8 ) )
& ( cR @ sK3_SY8 )
& ! [SY9: a] :
( ( sK2_SY5
!= ( sK1_F @ SY9 ) )
| ~ ( cS @ SY9 ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ( ~ ! [SX0: a] :
( ~ ( cR @ SX0 )
| ( cS @ SX0 ) )
| ~ ~ ( ~ ~ ( ( sK2_SY5
!= ( sK1_F @ sK3_SY8 ) )
| ~ ( cR @ sK3_SY8 ) )
| ~ ! [SX0: a] :
( ( sK2_SY5
!= ( sK1_F @ SX0 ) )
| ~ ( cS @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(12,plain,
( ( ~ ! [SX0: a] :
( ~ ( cR @ SX0 )
| ( cS @ SX0 ) )
| ~ ~ ( ~ ~ ( ( sK2_SY5
!= ( sK1_F @ sK3_SY8 ) )
| ~ ( cR @ sK3_SY8 ) )
| ~ ! [SX0: a] :
( ( sK2_SY5
!= ( sK1_F @ SX0 ) )
| ~ ( cS @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(13,plain,
( ( ~ ! [SX0: a] :
( ~ ( cR @ SX0 )
| ( cS @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ~ ( ~ ~ ( ( sK2_SY5
!= ( sK1_F @ sK3_SY8 ) )
| ~ ( cR @ sK3_SY8 ) )
| ~ ! [SX0: a] :
( ( sK2_SY5
!= ( sK1_F @ SX0 ) )
| ~ ( cS @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ! [SX0: a] :
( ~ ( cR @ SX0 )
| ( cS @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( ~ ~ ( ( sK2_SY5
!= ( sK1_F @ sK3_SY8 ) )
| ~ ( cR @ sK3_SY8 ) )
| ~ ! [SX0: a] :
( ( sK2_SY5
!= ( sK1_F @ SX0 ) )
| ~ ( cS @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
! [SV1: a] :
( ( ~ ( cR @ SV1 )
| ( cS @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ~ ( ( sK2_SY5
!= ( sK1_F @ sK3_SY8 ) )
| ~ ( cR @ sK3_SY8 ) )
| ~ ! [SX0: a] :
( ( sK2_SY5
!= ( sK1_F @ SX0 ) )
| ~ ( cS @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(19,plain,
! [SV1: a] :
( ( ( ~ ( cR @ SV1 ) )
= $true )
| ( ( cS @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ~ ( ( sK2_SY5
!= ( sK1_F @ sK3_SY8 ) )
| ~ ( cR @ sK3_SY8 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(21,plain,
( ( ~ ! [SX0: a] :
( ( sK2_SY5
!= ( sK1_F @ SX0 ) )
| ~ ( cS @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(22,plain,
! [SV1: a] :
( ( ( cR @ SV1 )
= $false )
| ( ( cS @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ( ( sK2_SY5
!= ( sK1_F @ sK3_SY8 ) )
| ~ ( cR @ sK3_SY8 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(24,plain,
( ( ! [SX0: a] :
( ( sK2_SY5
!= ( sK1_F @ SX0 ) )
| ~ ( cS @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(25,plain,
( ( ( sK2_SY5
!= ( sK1_F @ sK3_SY8 ) )
| ~ ( cR @ sK3_SY8 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(26,plain,
! [SV2: a] :
( ( ( sK2_SY5
!= ( sK1_F @ SV2 ) )
| ~ ( cS @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(27,plain,
( ( ( sK2_SY5
!= ( sK1_F @ sK3_SY8 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(28,plain,
( ( ~ ( cR @ sK3_SY8 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(29,plain,
! [SV2: a] :
( ( ( ( sK2_SY5
!= ( sK1_F @ SV2 ) ) )
= $true )
| ( ( ~ ( cS @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(30,plain,
( ( sK2_SY5
= ( sK1_F @ sK3_SY8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(31,plain,
( ( cR @ sK3_SY8 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(32,plain,
! [SV2: a] :
( ( ( sK2_SY5
= ( sK1_F @ SV2 ) )
= $false )
| ( ( ~ ( cS @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(33,plain,
! [SV2: a] :
( ( ( cS @ SV2 )
= $false )
| ( ( sK2_SY5
= ( sK1_F @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(34,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[22,33,31,30]) ).
thf(35,plain,
( ( ! [F: a > a,Xx: a] :
( ! [Xt: a] :
( ( Xx
!= ( F @ Xt ) )
| ~ ( cR @ Xt ) )
| ( ( Xx
= ( F @ ( sK5_Xt @ Xx @ F ) ) )
& ( cS @ ( sK5_Xt @ Xx @ F ) ) ) )
& ( cR @ sK4_Xx )
& ~ ( cS @ sK4_Xx ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(36,plain,
( ( ~ ( ~ ! [SX0: a > a,SX1: a] :
( ! [SX2: a] :
( ( SX1
!= ( SX0 @ SX2 ) )
| ~ ( cR @ SX2 ) )
| ~ ( ( SX1
!= ( SX0 @ ( sK5_Xt @ SX1 @ SX0 ) ) )
| ~ ( cS @ ( sK5_Xt @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ( cR @ sK4_Xx )
| ~ ~ ( cS @ sK4_Xx ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(37,plain,
( ( ~ ! [SX0: a > a,SX1: a] :
( ! [SX2: a] :
( ( SX1
!= ( SX0 @ SX2 ) )
| ~ ( cR @ SX2 ) )
| ~ ( ( SX1
!= ( SX0 @ ( sK5_Xt @ SX1 @ SX0 ) ) )
| ~ ( cS @ ( sK5_Xt @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ( cR @ sK4_Xx )
| ~ ~ ( cS @ sK4_Xx ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(38,plain,
( ( ~ ! [SX0: a > a,SX1: a] :
( ! [SX2: a] :
( ( SX1
!= ( SX0 @ SX2 ) )
| ~ ( cR @ SX2 ) )
| ~ ( ( SX1
!= ( SX0 @ ( sK5_Xt @ SX1 @ SX0 ) ) )
| ~ ( cS @ ( sK5_Xt @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(39,plain,
( ( ~ ~ ( ~ ( cR @ sK4_Xx )
| ~ ~ ( cS @ sK4_Xx ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(40,plain,
( ( ! [SX0: a > a,SX1: a] :
( ! [SX2: a] :
( ( SX1
!= ( SX0 @ SX2 ) )
| ~ ( cR @ SX2 ) )
| ~ ( ( SX1
!= ( SX0 @ ( sK5_Xt @ SX1 @ SX0 ) ) )
| ~ ( cS @ ( sK5_Xt @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(41,plain,
( ( ~ ( ~ ( cR @ sK4_Xx )
| ~ ~ ( cS @ sK4_Xx ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(42,plain,
! [SV3: a > a] :
( ( ! [SY10: a] :
( ! [SY11: a] :
( ( SY10
!= ( SV3 @ SY11 ) )
| ~ ( cR @ SY11 ) )
| ~ ( ( SY10
!= ( SV3 @ ( sK5_Xt @ SY10 @ SV3 ) ) )
| ~ ( cS @ ( sK5_Xt @ SY10 @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(43,plain,
( ( ~ ( cR @ sK4_Xx )
| ~ ~ ( cS @ sK4_Xx ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(44,plain,
! [SV3: a > a,SV4: a] :
( ( ! [SY12: a] :
( ( SV4
!= ( SV3 @ SY12 ) )
| ~ ( cR @ SY12 ) )
| ~ ( ( SV4
!= ( SV3 @ ( sK5_Xt @ SV4 @ SV3 ) ) )
| ~ ( cS @ ( sK5_Xt @ SV4 @ SV3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(45,plain,
( ( ~ ( cR @ sK4_Xx ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(46,plain,
( ( ~ ~ ( cS @ sK4_Xx ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(47,plain,
! [SV3: a > a,SV4: a] :
( ( ( ! [SY12: a] :
( ( SV4
!= ( SV3 @ SY12 ) )
| ~ ( cR @ SY12 ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( SV3 @ ( sK5_Xt @ SV4 @ SV3 ) ) )
| ~ ( cS @ ( sK5_Xt @ SV4 @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(48,plain,
( ( cR @ sK4_Xx )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(49,plain,
( ( ~ ( cS @ sK4_Xx ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(50,plain,
! [SV5: a,SV3: a > a,SV4: a] :
( ( ( ( SV4
!= ( SV3 @ SV5 ) )
| ~ ( cR @ SV5 ) )
= $true )
| ( ( ~ ( ( SV4
!= ( SV3 @ ( sK5_Xt @ SV4 @ SV3 ) ) )
| ~ ( cS @ ( sK5_Xt @ SV4 @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(51,plain,
( ( cS @ sK4_Xx )
= $false ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(52,plain,
! [SV5: a,SV3: a > a,SV4: a] :
( ( ( ( SV4
!= ( SV3 @ SV5 ) ) )
= $true )
| ( ( ~ ( cR @ SV5 ) )
= $true )
| ( ( ~ ( ( SV4
!= ( SV3 @ ( sK5_Xt @ SV4 @ SV3 ) ) )
| ~ ( cS @ ( sK5_Xt @ SV4 @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(53,plain,
! [SV5: a,SV3: a > a,SV4: a] :
( ( ( SV4
= ( SV3 @ SV5 ) )
= $false )
| ( ( ~ ( cR @ SV5 ) )
= $true )
| ( ( ~ ( ( SV4
!= ( SV3 @ ( sK5_Xt @ SV4 @ SV3 ) ) )
| ~ ( cS @ ( sK5_Xt @ SV4 @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(54,plain,
! [SV3: a > a,SV4: a,SV5: a] :
( ( ( cR @ SV5 )
= $false )
| ( ( SV4
= ( SV3 @ SV5 ) )
= $false )
| ( ( ~ ( ( SV4
!= ( SV3 @ ( sK5_Xt @ SV4 @ SV3 ) ) )
| ~ ( cS @ ( sK5_Xt @ SV4 @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(55,plain,
! [SV5: a,SV3: a > a,SV4: a] :
( ( ( ( SV4
!= ( SV3 @ ( sK5_Xt @ SV4 @ SV3 ) ) )
| ~ ( cS @ ( sK5_Xt @ SV4 @ SV3 ) ) )
= $false )
| ( ( SV4
= ( SV3 @ SV5 ) )
= $false )
| ( ( cR @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(56,plain,
! [SV5: a,SV3: a > a,SV4: a] :
( ( ( ( SV4
!= ( SV3 @ ( sK5_Xt @ SV4 @ SV3 ) ) ) )
= $false )
| ( ( SV4
= ( SV3 @ SV5 ) )
= $false )
| ( ( cR @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(57,plain,
! [SV5: a,SV3: a > a,SV4: a] :
( ( ( ~ ( cS @ ( sK5_Xt @ SV4 @ SV3 ) ) )
= $false )
| ( ( SV4
= ( SV3 @ SV5 ) )
= $false )
| ( ( cR @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(58,plain,
! [SV5: a,SV3: a > a,SV4: a] :
( ( ( SV4
= ( SV3 @ ( sK5_Xt @ SV4 @ SV3 ) ) )
= $true )
| ( ( SV4
= ( SV3 @ SV5 ) )
= $false )
| ( ( cR @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(59,plain,
! [SV5: a,SV3: a > a,SV4: a] :
( ( ( cS @ ( sK5_Xt @ SV4 @ SV3 ) )
= $true )
| ( ( SV4
= ( SV3 @ SV5 ) )
= $false )
| ( ( cR @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(60,plain,
! [SV3: a > a,SV5: a] :
( ( ( cR @ SV5 )
= $false )
| ( ( ( SV3 @ SV5 )
= ( SV3 @ ( sK5_Xt @ ( SV3 @ SV5 ) @ SV3 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[58:[bind(SV4,$thf( SV3 @ SV5 ))]]) ).
thf(61,plain,
! [SV3: a > a,SV5: a] :
( ( ( cR @ SV5 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV3 @ SV5 ) @ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[59:[bind(SV4,$thf( SV3 @ SV5 ))]]) ).
thf(63,plain,
! [SV6: a,SV7: a > a,SV8: a] :
( ( ( SV8
= ( SV7 @ ( sK5_Xt @ SV8 @ SV7 ) ) )
= $true )
| ( ( SV8
= ( SV7 @ SV6 ) )
= $false )
| ( ( cR @ SV6 )
= $false ) ),
inference(rename,[status(thm)],[58]) ).
thf(69,plain,
! [SV6: a,SV7: a > a,SV8: a] :
( ( ( ( cR @ SV6 )
= ( cR @ sK4_Xx ) )
= $false )
| ( ( SV8
= ( SV7 @ ( sK5_Xt @ SV8 @ SV7 ) ) )
= $true )
| ( ( SV8
= ( SV7 @ SV6 ) )
= $false ) ),
inference(res,[status(thm)],[63,48]) ).
thf(71,plain,
! [SV7: a > a] :
( ( ( SV7 @ sK4_Xx )
= ( SV7 @ ( sK5_Xt @ ( SV7 @ sK4_Xx ) @ SV7 ) ) )
= $true ),
inference(extuni,[status(esa)],[69:[bind(SV8,$thf( SV7 @ sK4_Xx )),bind(SV6,$thf( sK4_Xx ))]]) ).
thf(77,plain,
! [SV9: a,SV10: a > a,SV11: a] :
( ( ( cS @ ( sK5_Xt @ SV11 @ SV10 ) )
= $true )
| ( ( SV11
= ( SV10 @ SV9 ) )
= $false )
| ( ( cR @ SV9 )
= $false ) ),
inference(rename,[status(thm)],[59]) ).
thf(85,plain,
! [SV9: a,SV10: a > a,SV11: a,SV6: a,SV7: a > a,SV8: a] :
( ( ( ( SV11
= ( SV10 @ SV9 ) )
= ( SV8
= ( SV7 @ ( sK5_Xt @ SV8 @ SV7 ) ) ) )
= $false )
| ( ( cS @ ( sK5_Xt @ SV11 @ SV10 ) )
= $true )
| ( ( cR @ SV9 )
= $false )
| ( ( SV8
= ( SV7 @ SV6 ) )
= $false )
| ( ( cR @ SV6 )
= $false ) ),
inference(res,[status(thm)],[77,63]) ).
thf(86,plain,
! [SV9: a,SV10: a > a,SV11: a] :
( ( ( ( cS @ ( sK5_Xt @ SV11 @ SV10 ) )
= ( cS @ sK4_Xx ) )
= $false )
| ( ( SV11
= ( SV10 @ SV9 ) )
= $false )
| ( ( cR @ SV9 )
= $false ) ),
inference(res,[status(thm)],[77,51]) ).
thf(87,plain,
! [SV9: a,SV10: a > a,SV11: a] :
( ( ( ( cR @ SV9 )
= ( cR @ sK4_Xx ) )
= $false )
| ( ( cS @ ( sK5_Xt @ SV11 @ SV10 ) )
= $true )
| ( ( SV11
= ( SV10 @ SV9 ) )
= $false ) ),
inference(res,[status(thm)],[77,48]) ).
thf(89,plain,
! [SV10: a > a] :
( ( cS @ ( sK5_Xt @ ( SV10 @ sK4_Xx ) @ SV10 ) )
= $true ),
inference(extuni,[status(esa)],[87:[bind(SV11,$thf( SV10 @ sK4_Xx )),bind(SV9,$thf( sK4_Xx ))]]) ).
thf(90,plain,
! [SV10: a > a,SV9: a] :
( ( ( cR @ SV9 )
= $false )
| ( ( ( sK5_Xt @ ( SV10 @ SV9 ) @ SV10 )
= sK4_Xx )
= $false ) ),
inference(extuni,[status(esa)],[86:[bind(SV11,$thf( SV10 @ SV9 ))]]) ).
thf(91,plain,
! [SV6: a,SV7: a > a,SV9: a,SV10: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( cR @ SV9 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV7 @ ( sK5_Xt @ ( SV10 @ SV9 ) @ SV7 ) ) @ SV10 ) )
= $true )
| ( ( ( SV10 @ SV9 )
= ( SV7 @ SV6 ) )
= $false ) ),
inference(extuni,[status(esa)],[85:[bind(SV11,$thf( SV7 @ ( sK5_Xt @ ( SV10 @ SV9 ) @ SV7 ) )),bind(SV8,$thf( SV10 @ SV9 ))]]) ).
thf(92,plain,
! [SV6: a,SV7: a > a,SV9: a,SV10: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( cR @ SV9 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV7 @ SV6 ) @ SV10 ) )
= $true )
| ( ( ( SV10 @ SV9 )
= ( SV7 @ ( sK5_Xt @ ( SV7 @ SV6 ) @ SV7 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[85:[bind(SV8,$thf( SV7 @ SV6 )),bind(SV11,$thf( SV7 @ SV6 ))]]) ).
thf(94,plain,
! [SV12: a > a,SV13: a] :
( ( ( cR @ SV13 )
= $false )
| ( ( ( SV12 @ SV13 )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) )
= $true ) ),
inference(rename,[status(thm)],[60]) ).
thf(98,plain,
! [SV12: a > a,SV13: a,SV9: a,SV10: a > a,SV11: a] :
( ( ( ( ( SV12 @ SV13 )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) )
= ( SV11
= ( SV10 @ SV9 ) ) )
= $false )
| ( ( cR @ SV13 )
= $false )
| ( ( cS @ ( sK5_Xt @ SV11 @ SV10 ) )
= $true )
| ( ( cR @ SV9 )
= $false ) ),
inference(res,[status(thm)],[94,77]) ).
thf(101,plain,
! [SV12: a > a,SV13: a,SV6: a,SV7: a > a,SV8: a] :
( ( ( ( ( SV12 @ SV13 )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) )
= ( SV8
= ( SV7 @ SV6 ) ) )
= $false )
| ( ( cR @ SV13 )
= $false )
| ( ( SV8
= ( SV7 @ ( sK5_Xt @ SV8 @ SV7 ) ) )
= $true )
| ( ( cR @ SV6 )
= $false ) ),
inference(res,[status(thm)],[94,63]) ).
thf(106,plain,
! [SV6: a,SV7: a > a,SV13: a,SV12: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) )
= ( SV7 @ ( sK5_Xt @ ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) @ SV7 ) ) )
= $true )
| ( ( cR @ SV13 )
= $false )
| ( ( ( SV12 @ SV13 )
= ( SV7 @ SV6 ) )
= $false ) ),
inference(extuni,[status(esa)],[101:[bind(SV8,$thf( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ))]]) ).
thf(107,plain,
! [SV6: a,SV7: a > a,SV13: a,SV12: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( ( SV12 @ SV13 )
= ( SV7 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV7 ) ) )
= $true )
| ( ( cR @ SV13 )
= $false )
| ( ( ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) )
= ( SV7 @ SV6 ) )
= $false ) ),
inference(extuni,[status(esa)],[101:[bind(SV8,$thf( SV12 @ SV13 ))]]) ).
thf(108,plain,
! [SV9: a,SV10: a > a,SV13: a,SV12: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) @ SV10 ) )
= $true )
| ( ( cR @ SV13 )
= $false )
| ( ( ( SV12 @ SV13 )
= ( SV10 @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[98:[bind(SV11,$thf( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ))]]) ).
thf(109,plain,
! [SV9: a,SV10: a > a,SV13: a,SV12: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV10 ) )
= $true )
| ( ( cR @ SV13 )
= $false )
| ( ( ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) )
= ( SV10 @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[98:[bind(SV11,$thf( SV12 @ SV13 ))]]) ).
thf(110,plain,
! [SV14: a > a,SV15: a] :
( ( ( cR @ SV15 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV14 @ SV15 ) @ SV14 ) )
= $true ) ),
inference(rename,[status(thm)],[61]) ).
thf(121,plain,
! [SV14: a > a,SV15: a] :
( ( ( ( cS @ ( sK5_Xt @ ( SV14 @ SV15 ) @ SV14 ) )
= ( cS @ sK4_Xx ) )
= $false )
| ( ( cR @ SV15 )
= $false ) ),
inference(res,[status(thm)],[110,51]) ).
thf(122,plain,
! [SV14: a > a,SV15: a] :
( ( ( ( cR @ SV15 )
= ( cR @ sK4_Xx ) )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV14 @ SV15 ) @ SV14 ) )
= $true ) ),
inference(res,[status(thm)],[110,48]) ).
thf(123,plain,
! [SV14: a > a] :
( ( cS @ ( sK5_Xt @ ( SV14 @ sK4_Xx ) @ SV14 ) )
= $true ),
inference(extuni,[status(esa)],[122:[bind(SV15,$thf( sK4_Xx ))]]) ).
thf(124,plain,
! [SV14: a > a,SV15: a] :
( ( ( cR @ SV15 )
= $false )
| ( ( ( sK5_Xt @ ( SV14 @ SV15 ) @ SV14 )
= sK4_Xx )
= $false ) ),
inference(extuni,[status(esa)],[121]) ).
thf(125,plain,
! [SV16: a > a] :
( ( ( SV16 @ sK4_Xx )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) )
= $true ),
inference(rename,[status(thm)],[71]) ).
thf(129,plain,
! [SV16: a > a,SV9: a,SV10: a > a,SV11: a] :
( ( ( ( ( SV16 @ sK4_Xx )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) )
= ( SV11
= ( SV10 @ SV9 ) ) )
= $false )
| ( ( cS @ ( sK5_Xt @ SV11 @ SV10 ) )
= $true )
| ( ( cR @ SV9 )
= $false ) ),
inference(res,[status(thm)],[125,77]) ).
thf(131,plain,
! [SV16: a > a,SV6: a,SV7: a > a,SV8: a] :
( ( ( ( ( SV16 @ sK4_Xx )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) )
= ( SV8
= ( SV7 @ SV6 ) ) )
= $false )
| ( ( SV8
= ( SV7 @ ( sK5_Xt @ SV8 @ SV7 ) ) )
= $true )
| ( ( cR @ SV6 )
= $false ) ),
inference(res,[status(thm)],[125,63]) ).
thf(133,plain,
! [SV6: a,SV7: a > a,SV16: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) )
= ( SV7 @ ( sK5_Xt @ ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) @ SV7 ) ) )
= $true )
| ( ( ( SV16 @ sK4_Xx )
= ( SV7 @ SV6 ) )
= $false ) ),
inference(extuni,[status(esa)],[131:[bind(SV8,$thf( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ))]]) ).
thf(134,plain,
! [SV6: a,SV7: a > a,SV16: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( ( SV16 @ sK4_Xx )
= ( SV7 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV7 ) ) )
= $true )
| ( ( ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) )
= ( SV7 @ SV6 ) )
= $false ) ),
inference(extuni,[status(esa)],[131:[bind(SV8,$thf( SV16 @ sK4_Xx ))]]) ).
thf(135,plain,
! [SV9: a,SV10: a > a,SV16: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) @ SV10 ) )
= $true )
| ( ( ( SV16 @ sK4_Xx )
= ( SV10 @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[129:[bind(SV11,$thf( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ))]]) ).
thf(136,plain,
! [SV9: a,SV10: a > a,SV16: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV10 ) )
= $true )
| ( ( ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) )
= ( SV10 @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[129:[bind(SV11,$thf( SV16 @ sK4_Xx ))]]) ).
thf(139,plain,
! [SV21: a > a] :
( ( cS @ ( sK5_Xt @ ( SV21 @ sK4_Xx ) @ SV21 ) )
= $true ),
inference(rename,[status(thm)],[89]) ).
thf(146,plain,
! [SV21: a > a] :
( ( ( cS @ ( sK5_Xt @ ( SV21 @ sK4_Xx ) @ SV21 ) )
= ( cS @ sK4_Xx ) )
= $false ),
inference(res,[status(thm)],[139,51]) ).
thf(147,plain,
! [SV21: a > a] :
( ( ( sK5_Xt @ ( SV21 @ sK4_Xx ) @ SV21 )
= sK4_Xx )
= $false ),
inference(extuni,[status(esa)],[146]) ).
thf(148,plain,
! [SV22: a > a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 )
= sK4_Xx )
= $false ) ),
inference(rename,[status(thm)],[90]) ).
thf(151,plain,
! [SV22: a > a,SV23: a,SV16: a > a] :
( ( ( ( ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 )
= sK4_Xx )
= ( ( SV16 @ sK4_Xx )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) ) )
= $false )
| ( ( cR @ SV23 )
= $false ) ),
inference(res,[status(thm)],[148,125]) ).
thf(155,plain,
! [SV22: a > a,SV23: a,SV12: a > a,SV13: a] :
( ( ( ( ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 )
= sK4_Xx )
= ( ( SV12 @ SV13 )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) ) )
= $false )
| ( ( cR @ SV23 )
= $false )
| ( ( cR @ SV13 )
= $false ) ),
inference(res,[status(thm)],[148,94]) ).
thf(159,plain,
! [SV22: a > a,SV23: a,SV6: a,SV7: a > a,SV8: a] :
( ( ( ( ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 )
= sK4_Xx )
= ( SV8
= ( SV7 @ ( sK5_Xt @ SV8 @ SV7 ) ) ) )
= $false )
| ( ( cR @ SV23 )
= $false )
| ( ( SV8
= ( SV7 @ SV6 ) )
= $false )
| ( ( cR @ SV6 )
= $false ) ),
inference(res,[status(thm)],[148,63]) ).
thf(162,plain,
! [SV22: a > a,SV23: a] :
( ( ( ( cR @ SV23 )
= ( cR @ sK4_Xx ) )
= $false )
| ( ( ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 )
= sK4_Xx )
= $false ) ),
inference(res,[status(thm)],[148,48]) ).
thf(164,plain,
! [SV22: a > a] :
( ( ( sK5_Xt @ ( SV22 @ sK4_Xx ) @ SV22 )
= sK4_Xx )
= $false ),
inference(extuni,[status(esa)],[162:[bind(SV23,$thf( sK4_Xx ))]]) ).
thf(165,plain,
! [SV22: a > a,SV23: a,SV7: a > a,SV6: a] :
( ( ( cR @ SV6 )
= $false )
| ( ( sK4_Xx
= ( SV7 @ SV6 ) )
= $false )
| ( ( cR @ SV23 )
= $false )
| ( ( ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 )
= ( SV7 @ ( sK5_Xt @ sK4_Xx @ SV7 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[159:[bind(SV8,$thf( sK4_Xx ))]]) ).
thf(166,plain,
! [SV7: a > a,SV23: a,SV22: a > a,SV6: a] :
( ( ( cR @ SV6 )
= $false )
| ( ( ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 )
= ( SV7 @ SV6 ) )
= $false )
| ( ( cR @ SV23 )
= $false )
| ( ( sK4_Xx
= ( SV7 @ ( sK5_Xt @ ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ) @ SV7 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[159:[bind(SV8,$thf( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ))]]) ).
thf(167,plain,
! [SV12: a > a,SV22: a > a,SV23: a,SV13: a] :
( ( ( cR @ SV13 )
= $false )
| ( ( cR @ SV23 )
= $false )
| ( ( ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) )
= $false )
| ( ( sK4_Xx
= ( SV12 @ SV13 ) )
= $false ) ),
inference(extuni,[status(esa)],[155]) ).
thf(168,plain,
! [SV22: a > a,SV12: a > a,SV23: a,SV13: a] :
( ( ( cR @ SV13 )
= $false )
| ( ( cR @ SV23 )
= $false )
| ( ( sK4_Xx
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) )
= $false )
| ( ( ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 )
= ( SV12 @ SV13 ) )
= $false ) ),
inference(extuni,[status(esa)],[155]) ).
thf(169,plain,
! [SV16: a > a,SV22: a > a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) )
= $false )
| ( ( sK4_Xx
= ( SV16 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[151]) ).
thf(170,plain,
! [SV22: a > a,SV16: a > a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( sK4_Xx
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) )
= $false )
| ( ( ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 )
= ( SV16 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[151]) ).
thf(171,plain,
! [SV24: a,SV25: a > a,SV26: a,SV27: a > a] :
( ( ( cR @ SV24 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV25 ) ) @ SV27 ) )
= $true )
| ( ( ( SV27 @ SV26 )
= ( SV25 @ SV24 ) )
= $false ) ),
inference(rename,[status(thm)],[91]) ).
thf(183,plain,
! [SV24: a,SV25: a > a,SV26: a,SV27: a > a,SV16: a > a] :
( ( ( ( ( SV27 @ SV26 )
= ( SV25 @ SV24 ) )
= ( ( SV16 @ sK4_Xx )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) ) )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV25 ) ) @ SV27 ) )
= $true ) ),
inference(res,[status(thm)],[171,125]) ).
thf(190,plain,
! [SV24: a,SV25: a > a,SV26: a,SV27: a > a,SV12: a > a,SV13: a] :
( ( ( ( ( SV27 @ SV26 )
= ( SV25 @ SV24 ) )
= ( ( SV12 @ SV13 )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) ) )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV25 ) ) @ SV27 ) )
= $true )
| ( ( cR @ SV13 )
= $false ) ),
inference(res,[status(thm)],[171,94]) ).
thf(201,plain,
! [SV24: a,SV25: a > a,SV26: a,SV27: a > a,SV6: a,SV7: a > a,SV8: a] :
( ( ( ( ( SV27 @ SV26 )
= ( SV25 @ SV24 ) )
= ( SV8
= ( SV7 @ ( sK5_Xt @ SV8 @ SV7 ) ) ) )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV25 ) ) @ SV27 ) )
= $true )
| ( ( SV8
= ( SV7 @ SV6 ) )
= $false )
| ( ( cR @ SV6 )
= $false ) ),
inference(res,[status(thm)],[171,63]) ).
thf(204,plain,
! [SV24: a,SV25: a > a,SV26: a,SV27: a > a] :
( ( ( ( cS @ ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV25 ) ) @ SV27 ) )
= ( cS @ sK4_Xx ) )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV27 @ SV26 )
= ( SV25 @ SV24 ) )
= $false ) ),
inference(res,[status(thm)],[171,51]) ).
thf(206,plain,
! [SV24: a,SV25: a > a,SV26: a,SV27: a > a] :
( ( ( ( cR @ SV26 )
= ( cR @ sK4_Xx ) )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV25 ) ) @ SV27 ) )
= $true )
| ( ( ( SV27 @ SV26 )
= ( SV25 @ SV24 ) )
= $false ) ),
inference(res,[status(thm)],[171,48]) ).
thf(207,plain,
! [SV24: a,SV25: a > a,SV26: a,SV27: a > a] :
( ( ( ( cR @ SV24 )
= ( cR @ sK4_Xx ) )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV25 ) ) @ SV27 ) )
= $true )
| ( ( ( SV27 @ SV26 )
= ( SV25 @ SV24 ) )
= $false ) ),
inference(res,[status(thm)],[171,48]) ).
thf(208,plain,
! [SV25: a > a,SV26: a,SV27: a > a] :
( ( ( cS @ ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV25 ) ) @ SV27 ) )
= $true )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV27 @ SV26 )
= ( SV25 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[207:[bind(SV24,$thf( sK4_Xx ))]]) ).
thf(209,plain,
! [SV24: a,SV25: a > a,SV27: a > a] :
( ( ( cS @ ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ sK4_Xx ) @ SV25 ) ) @ SV27 ) )
= $true )
| ( ( cR @ SV24 )
= $false )
| ( ( ( SV27 @ sK4_Xx )
= ( SV25 @ SV24 ) )
= $false ) ),
inference(extuni,[status(esa)],[206:[bind(SV26,$thf( sK4_Xx ))]]) ).
thf(210,plain,
! [SV24: a,SV25: a > a,SV26: a,SV27: a > a] :
( ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV25 ) ) @ SV27 )
= sK4_Xx )
= $false )
| ( ( ( SV27 @ SV26 )
= ( SV25 @ SV24 ) )
= $false ) ),
inference(extuni,[status(esa)],[204]) ).
thf(211,plain,
! [SV26: a,SV27: a > a,SV6: a,SV7: a > a,SV24: a,SV25: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV25 ) ) @ SV27 ) )
= $true )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( ( SV25 @ SV24 )
= ( SV7 @ SV6 ) )
= $false )
| ( ( ( SV27 @ SV26 )
= ( SV7 @ ( sK5_Xt @ ( SV25 @ SV24 ) @ SV7 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[201:[bind(SV8,$thf( SV25 @ SV24 ))]]) ).
thf(212,plain,
! [SV24: a,SV25: a > a,SV6: a,SV7: a > a,SV26: a,SV27: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV25 ) ) @ SV27 ) )
= $true )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( ( SV27 @ SV26 )
= ( SV7 @ SV6 ) )
= $false )
| ( ( ( SV25 @ SV24 )
= ( SV7 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV7 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[201:[bind(SV8,$thf( SV27 @ SV26 ))]]) ).
thf(213,plain,
! [SV24: a,SV25: a > a,SV13: a,SV12: a > a,SV26: a,SV27: a > a] :
( ( ( cR @ SV13 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV25 ) ) @ SV27 ) )
= $true )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( ( SV27 @ SV26 )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) )
= $false )
| ( ( ( SV25 @ SV24 )
= ( SV12 @ SV13 ) )
= $false ) ),
inference(extuni,[status(esa)],[190]) ).
thf(214,plain,
! [SV26: a,SV27: a > a,SV13: a,SV12: a > a,SV24: a,SV25: a > a] :
( ( ( cR @ SV13 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV25 ) ) @ SV27 ) )
= $true )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( ( SV25 @ SV24 )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) )
= $false )
| ( ( ( SV27 @ SV26 )
= ( SV12 @ SV13 ) )
= $false ) ),
inference(extuni,[status(esa)],[190]) ).
thf(215,plain,
! [SV24: a,SV25: a > a,SV16: a > a,SV26: a,SV27: a > a] :
( ( ( cS @ ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV25 ) ) @ SV27 ) )
= $true )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( ( SV27 @ SV26 )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) )
= $false )
| ( ( ( SV25 @ SV24 )
= ( SV16 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[183]) ).
thf(216,plain,
! [SV26: a,SV27: a > a,SV16: a > a,SV24: a,SV25: a > a] :
( ( ( cS @ ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV25 ) ) @ SV27 ) )
= $true )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( ( SV25 @ SV24 )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) )
= $false )
| ( ( ( SV27 @ SV26 )
= ( SV16 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[183]) ).
thf(217,plain,
! [SV28: a,SV29: a > a,SV30: a,SV31: a > a] :
( ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV30 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV31 ) )
= $true )
| ( ( ( SV31 @ SV30 )
= ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) ) )
= $false ) ),
inference(rename,[status(thm)],[92]) ).
thf(235,plain,
! [SV28: a,SV29: a > a,SV30: a,SV31: a > a,SV16: a > a] :
( ( ( ( ( SV31 @ SV30 )
= ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) ) )
= ( ( SV16 @ sK4_Xx )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) ) )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV30 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV31 ) )
= $true ) ),
inference(res,[status(thm)],[217,125]) ).
thf(242,plain,
! [SV28: a,SV29: a > a,SV30: a,SV31: a > a,SV12: a > a,SV13: a] :
( ( ( ( ( SV31 @ SV30 )
= ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) ) )
= ( ( SV12 @ SV13 )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) ) )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV30 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV31 ) )
= $true )
| ( ( cR @ SV13 )
= $false ) ),
inference(res,[status(thm)],[217,94]) ).
thf(253,plain,
! [SV28: a,SV29: a > a,SV30: a,SV31: a > a,SV6: a,SV7: a > a,SV8: a] :
( ( ( ( ( SV31 @ SV30 )
= ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) ) )
= ( SV8
= ( SV7 @ ( sK5_Xt @ SV8 @ SV7 ) ) ) )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV30 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV31 ) )
= $true )
| ( ( SV8
= ( SV7 @ SV6 ) )
= $false )
| ( ( cR @ SV6 )
= $false ) ),
inference(res,[status(thm)],[217,63]) ).
thf(256,plain,
! [SV28: a,SV29: a > a,SV30: a,SV31: a > a] :
( ( ( ( cS @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV31 ) )
= ( cS @ sK4_Xx ) )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV30 )
= $false )
| ( ( ( SV31 @ SV30 )
= ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) ) )
= $false ) ),
inference(res,[status(thm)],[217,51]) ).
thf(258,plain,
! [SV28: a,SV29: a > a,SV30: a,SV31: a > a] :
( ( ( ( cR @ SV30 )
= ( cR @ sK4_Xx ) )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV31 ) )
= $true )
| ( ( ( SV31 @ SV30 )
= ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) ) )
= $false ) ),
inference(res,[status(thm)],[217,48]) ).
thf(259,plain,
! [SV28: a,SV29: a > a,SV30: a,SV31: a > a] :
( ( ( ( cR @ SV28 )
= ( cR @ sK4_Xx ) )
= $false )
| ( ( cR @ SV30 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV31 ) )
= $true )
| ( ( ( SV31 @ SV30 )
= ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) ) )
= $false ) ),
inference(res,[status(thm)],[217,48]) ).
thf(260,plain,
! [SV29: a > a,SV30: a,SV31: a > a] :
( ( ( cS @ ( sK5_Xt @ ( SV29 @ sK4_Xx ) @ SV31 ) )
= $true )
| ( ( cR @ SV30 )
= $false )
| ( ( ( SV31 @ SV30 )
= ( SV29 @ ( sK5_Xt @ ( SV29 @ sK4_Xx ) @ SV29 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[259:[bind(SV28,$thf( sK4_Xx ))]]) ).
thf(261,plain,
! [SV28: a,SV29: a > a,SV31: a > a] :
( ( ( cS @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV31 ) )
= $true )
| ( ( cR @ SV28 )
= $false )
| ( ( ( SV31 @ sK4_Xx )
= ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[258:[bind(SV30,$thf( sK4_Xx ))]]) ).
thf(262,plain,
! [SV28: a,SV29: a > a,SV30: a,SV31: a > a] :
( ( ( cR @ SV30 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( ( sK5_Xt @ ( SV29 @ SV28 ) @ SV31 )
= sK4_Xx )
= $false )
| ( ( ( SV31 @ SV30 )
= ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[256]) ).
thf(263,plain,
! [SV30: a,SV31: a > a,SV6: a,SV7: a > a,SV28: a,SV29: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV31 ) )
= $true )
| ( ( cR @ SV30 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) )
= ( SV7 @ SV6 ) )
= $false )
| ( ( ( SV31 @ SV30 )
= ( SV7 @ ( sK5_Xt @ ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) ) @ SV7 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[253:[bind(SV8,$thf( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) ))]]) ).
thf(264,plain,
! [SV28: a,SV29: a > a,SV6: a,SV7: a > a,SV30: a,SV31: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV31 ) )
= $true )
| ( ( cR @ SV30 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( ( SV31 @ SV30 )
= ( SV7 @ SV6 ) )
= $false )
| ( ( ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) )
= ( SV7 @ ( sK5_Xt @ ( SV31 @ SV30 ) @ SV7 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[253:[bind(SV8,$thf( SV31 @ SV30 ))]]) ).
thf(265,plain,
! [SV28: a,SV29: a > a,SV13: a,SV12: a > a,SV30: a,SV31: a > a] :
( ( ( cR @ SV13 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV31 ) )
= $true )
| ( ( cR @ SV30 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( ( SV31 @ SV30 )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) )
= $false )
| ( ( ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) )
= ( SV12 @ SV13 ) )
= $false ) ),
inference(extuni,[status(esa)],[242]) ).
thf(266,plain,
! [SV30: a,SV31: a > a,SV13: a,SV12: a > a,SV28: a,SV29: a > a] :
( ( ( cR @ SV13 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV31 ) )
= $true )
| ( ( cR @ SV30 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) )
= $false )
| ( ( ( SV31 @ SV30 )
= ( SV12 @ SV13 ) )
= $false ) ),
inference(extuni,[status(esa)],[242]) ).
thf(267,plain,
! [SV28: a,SV29: a > a,SV16: a > a,SV30: a,SV31: a > a] :
( ( ( cS @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV31 ) )
= $true )
| ( ( cR @ SV30 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( ( SV31 @ SV30 )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) )
= $false )
| ( ( ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) )
= ( SV16 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[235]) ).
thf(268,plain,
! [SV30: a,SV31: a > a,SV16: a > a,SV28: a,SV29: a > a] :
( ( ( cS @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV31 ) )
= $true )
| ( ( cR @ SV30 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) )
= $false )
| ( ( ( SV31 @ SV30 )
= ( SV16 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[235]) ).
thf(271,plain,
! [SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false ) ),
inference(rename,[status(thm)],[106]) ).
thf(272,plain,
! [SV35: a,SV36: a > a,SV37: a,SV38: a > a,SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) ) )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV37 )
= $false ) ),
inference(res,[status(thm)],[271,271]) ).
thf(274,plain,
! [SV35: a,SV36: a > a,SV37: a,SV38: a > a,SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) ) )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false ) ),
inference(res,[status(thm)],[271,271]) ).
thf(278,plain,
! [SV35: a,SV36: a > a,SV37: a,SV38: a > a,SV28: a,SV29: a > a,SV30: a,SV31: a > a] :
( ( ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= ( ( SV31 @ SV30 )
= ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) ) ) )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV30 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV31 ) )
= $true ) ),
inference(res,[status(thm)],[271,217]) ).
thf(284,plain,
! [SV35: a,SV36: a > a,SV37: a,SV38: a > a,SV24: a,SV25: a > a,SV26: a,SV27: a > a] :
( ( ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= ( ( SV27 @ SV26 )
= ( SV25 @ SV24 ) ) )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV25 ) ) @ SV27 ) )
= $true ) ),
inference(res,[status(thm)],[271,171]) ).
thf(290,plain,
! [SV35: a,SV36: a > a,SV37: a,SV38: a > a,SV22: a > a,SV23: a] :
( ( ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= ( ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 )
= sK4_Xx ) )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( cR @ SV23 )
= $false ) ),
inference(res,[status(thm)],[271,148]) ).
thf(295,plain,
! [SV35: a,SV36: a > a,SV37: a,SV38: a > a,SV16: a > a] :
( ( ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= ( ( SV16 @ sK4_Xx )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) ) )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV37 )
= $false ) ),
inference(res,[status(thm)],[271,125]) ).
thf(302,plain,
! [SV35: a,SV36: a > a,SV37: a,SV38: a > a,SV12: a > a,SV13: a] :
( ( ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= ( ( SV12 @ SV13 )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) ) )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV13 )
= $false ) ),
inference(res,[status(thm)],[271,94]) ).
thf(307,plain,
! [SV35: a,SV36: a > a,SV37: a,SV38: a > a,SV9: a,SV10: a > a,SV11: a] :
( ( ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= ( SV11
= ( SV10 @ SV9 ) ) )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( cS @ ( sK5_Xt @ SV11 @ SV10 ) )
= $true )
| ( ( cR @ SV9 )
= $false ) ),
inference(res,[status(thm)],[271,77]) ).
thf(312,plain,
! [SV35: a,SV36: a > a,SV37: a,SV38: a > a,SV6: a,SV7: a > a,SV8: a] :
( ( ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= ( SV8
= ( SV7 @ SV6 ) ) )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( SV8
= ( SV7 @ ( sK5_Xt @ SV8 @ SV7 ) ) )
= $true )
| ( ( cR @ SV6 )
= $false ) ),
inference(res,[status(thm)],[271,63]) ).
thf(313,plain,
! [SV35: a,SV36: a > a,SV37: a,SV38: a > a,SV6: a,SV7: a > a,SV8: a] :
( ( ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= ( SV8
= ( SV7 @ ( sK5_Xt @ SV8 @ SV7 ) ) ) )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV37 )
= $false )
| ( ( SV8
= ( SV7 @ SV6 ) )
= $false )
| ( ( cR @ SV6 )
= $false ) ),
inference(res,[status(thm)],[271,63]) ).
thf(318,plain,
! [SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( ( cR @ SV37 )
= ( cR @ sK4_Xx ) )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false ) ),
inference(res,[status(thm)],[271,48]) ).
thf(319,plain,
! [SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( ( cR @ SV35 )
= ( cR @ sK4_Xx ) )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false ) ),
inference(res,[status(thm)],[271,48]) ).
thf(320,plain,
! [SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[319:[bind(SV35,$thf( sK4_Xx ))]]) ).
thf(321,plain,
! [SV35: a,SV36: a > a,SV38: a > a] :
( ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ sK4_Xx ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ sK4_Xx ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ sK4_Xx )
= ( SV36 @ SV35 ) )
= $false ) ),
inference(extuni,[status(esa)],[318:[bind(SV37,$thf( sK4_Xx ))]]) ).
thf(322,plain,
! [SV37: a,SV38: a > a,SV6: a,SV7: a > a,SV35: a,SV36: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV36 @ SV35 )
= ( SV7 @ SV6 ) )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV7 @ ( sK5_Xt @ ( SV36 @ SV35 ) @ SV7 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[313:[bind(SV8,$thf( SV36 @ SV35 ))]]) ).
thf(323,plain,
! [SV35: a,SV36: a > a,SV6: a,SV7: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV7 @ SV6 ) )
= $false )
| ( ( ( SV36 @ SV35 )
= ( SV7 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV7 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[313:[bind(SV8,$thf( SV38 @ SV37 ))]]) ).
thf(324,plain,
! [SV6: a,SV7: a > a,SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) )
= ( SV7 @ ( sK5_Xt @ ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) @ SV7 ) ) )
= $true )
| ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV7 @ SV6 ) )
= $false ) ),
inference(extuni,[status(esa)],[312:[bind(SV8,$thf( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ))]]) ).
thf(325,plain,
! [SV6: a,SV7: a > a,SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV7 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV7 ) ) )
= $true )
| ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) )
= ( SV7 @ SV6 ) )
= $false ) ),
inference(extuni,[status(esa)],[312:[bind(SV8,$thf( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ))]]) ).
thf(326,plain,
! [SV9: a,SV10: a > a,SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) @ SV10 ) )
= $true )
| ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV10 @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[307:[bind(SV11,$thf( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ))]]) ).
thf(327,plain,
! [SV9: a,SV10: a > a,SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV10 ) )
= $true )
| ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) )
= ( SV10 @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[307:[bind(SV11,$thf( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ))]]) ).
thf(328,plain,
! [SV35: a,SV36: a > a,SV13: a,SV12: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV13 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) )
= $false )
| ( ( ( SV36 @ SV35 )
= ( SV12 @ SV13 ) )
= $false ) ),
inference(extuni,[status(esa)],[302]) ).
thf(329,plain,
! [SV37: a,SV38: a > a,SV13: a,SV12: a > a,SV35: a,SV36: a > a] :
( ( ( cR @ SV13 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV36 @ SV35 )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV12 @ SV13 ) )
= $false ) ),
inference(extuni,[status(esa)],[302]) ).
thf(330,plain,
! [SV35: a,SV36: a > a,SV16: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) )
= $false )
| ( ( ( SV36 @ SV35 )
= ( SV16 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[295]) ).
thf(331,plain,
! [SV37: a,SV38: a > a,SV16: a > a,SV35: a,SV36: a > a] :
( ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV36 @ SV35 )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV16 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[295]) ).
thf(332,plain,
! [SV23: a,SV42: a > a > a,SV35: a,SV41: a > a] :
( ( ( cR @ SV23 )
= $false )
| ( ( cR @ ( sK5_Xt @ ( SV41 @ SV35 ) @ ( SV42 @ SV35 ) ) )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( sK5_Xt @ ( sK5_Xt @ ( SV41 @ SV35 ) @ ( SV42 @ SV35 ) )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( SV41
@ ( sK5_Xt
@ ( sK5_Xt @ ( sK5_Xt @ ( SV41 @ SV35 ) @ ( SV42 @ SV35 ) )
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV41 @ SX0 ) @ ( SV42 @ SX0 ) ) ) )
= ( SV42
@ ( sK5_Xt
@ ( sK5_Xt @ ( sK5_Xt @ ( SV41 @ SV35 ) @ ( SV42 @ SV35 ) )
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV41 @ SX0 ) @ ( SV42 @ SX0 ) ) )
@ SV23 ) )
= $false ) ),
inference(extuni,[status(esa)],[290:[bind(SV37,$thf( sK5_Xt @ ( SV41 @ SV35 ) @ ( SV42 @ SV35 ) )),bind(SV38,$thf( ^ [SX0: a] : SX0 )),bind(SV22,$thf( SV42 @ ( sK5_Xt @ ( sK5_Xt @ ( sK5_Xt @ ( SV41 @ SV35 ) @ ( SV42 @ SV35 ) ) @ ^ [SX0: a] : SX0 ) @ ^ [SX0: a] : ( sK5_Xt @ ( SV41 @ SX0 ) @ ( SV42 @ SX0 ) ) ) )),bind(SV36,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV41 @ SX0 ) @ ( SV42 @ SX0 ) ) ))]]) ).
thf(333,plain,
! [SV37: a,SV35: a,SV23: a,SV42: a > a > a,SV41: a > a] :
( ( ( cR @ SV23 )
= $false )
| ( ( sK4_Xx
= ( sK5_Xt @ ( SV41 @ SV35 ) @ ( SV42 @ SV35 ) ) )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV41
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV41 @ SX0 ) @ ( SV42 @ SX0 ) ) ) )
= ( SV42
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV41 @ SX0 ) @ ( SV42 @ SX0 ) ) )
@ SV23 ) )
= $false ) ),
inference(extuni,[status(esa)],[290:[bind(SV38,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV22,$thf( SV42 @ ( sK5_Xt @ sK4_Xx @ ^ [SX0: a] : ( sK5_Xt @ ( SV41 @ SX0 ) @ ( SV42 @ SX0 ) ) ) )),bind(SV36,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV41 @ SX0 ) @ ( SV42 @ SX0 ) ) ))]]) ).
thf(334,plain,
! [SV22: a > a,SV42: a > a > a,SV35: a,SV41: a > a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( cR @ ( sK5_Xt @ ( SV41 @ SV35 ) @ ( SV42 @ SV35 ) ) )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( sK5_Xt @ ( sK5_Xt @ ( SV41 @ SV35 ) @ ( SV42 @ SV35 ) )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( sK5_Xt
@ ( SV41
@ ( sK5_Xt
@ ( sK5_Xt @ ( sK5_Xt @ ( SV41 @ SV35 ) @ ( SV42 @ SV35 ) )
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV41 @ SX0 ) @ ( SV42 @ SX0 ) ) ) )
@ ( SV42
@ ( sK5_Xt
@ ( sK5_Xt @ ( sK5_Xt @ ( SV41 @ SV35 ) @ ( SV42 @ SV35 ) )
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV41 @ SX0 ) @ ( SV42 @ SX0 ) ) ) ) )
= ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[290:[bind(SV37,$thf( sK5_Xt @ ( SV41 @ SV35 ) @ ( SV42 @ SV35 ) )),bind(SV38,$thf( ^ [SX0: a] : SX0 )),bind(SV36,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV41 @ SX0 ) @ ( SV42 @ SX0 ) ) ))]]) ).
thf(335,plain,
! [SV22: a > a,SV37: a,SV42: a > a > a,SV35: a,SV41: a > a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( sK4_Xx
= ( sK5_Xt @ ( SV41 @ SV35 ) @ ( SV42 @ SV35 ) ) )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( sK5_Xt
@ ( SV41
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV41 @ SX0 ) @ ( SV42 @ SX0 ) ) ) )
@ ( SV42
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV41 @ SX0 ) @ ( SV42 @ SX0 ) ) ) ) )
= ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[290:[bind(SV38,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV36,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV41 @ SX0 ) @ ( SV42 @ SX0 ) ) ))]]) ).
thf(336,plain,
! [SV35: a] :
( ( ( cR
@ ( sK5_Xt @ SV35
@ ^ [SX0: a] : SX0 ) )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( sK5_Xt @ SV35
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false ) ),
inference(extuni,[status(esa)],[290:[bind(SV23,$thf( sK5_Xt @ SV35 @ ^ [SX0: a] : SX0 )),bind(SV37,$thf( SV35 )),bind(SV38,$thf( ^ [SX0: a] : SX0 )),bind(SV22,$thf( ^ [SX0: a] : SX0 )),bind(SV36,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(337,plain,
! [SV37: a] :
( ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( cR @ sK4_Xx )
= $false ) ),
inference(extuni,[status(esa)],[290:[bind(SV23,$thf( sK4_Xx )),bind(SV35,$thf( sK4_Xx )),bind(SV38,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV22,$thf( ^ [SX0: a] : SX0 )),bind(SV36,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(338,plain,
! [SV22: a > a,SV35: a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( sK5_Xt @ SV35
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt @ SV35
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[290:[bind(SV37,$thf( SV35 )),bind(SV38,$thf( ^ [SX0: a] : SX0 )),bind(SV36,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(339,plain,
! [SV22: a > a,SV37: a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( cR @ sK4_Xx )
= $false )
| ( ( ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[290:[bind(SV35,$thf( sK4_Xx )),bind(SV38,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV36,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(340,plain,
! [SV23: a,SV54: a > a > a,SV37: a,SV53: a > a] :
( ( ( cR @ SV23 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( cR @ ( sK5_Xt @ ( SV53 @ SV37 ) @ ( SV54 @ SV37 ) ) )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt
@ ( SV53
@ ( sK5_Xt @ ( sK5_Xt @ ( SV53 @ SV37 ) @ ( SV54 @ SV37 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV53 @ SX0 ) @ ( SV54 @ SX0 ) ) ) )
@ ( SV54
@ ( sK5_Xt @ ( sK5_Xt @ ( SV53 @ SV37 ) @ ( SV54 @ SV37 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV53 @ SX0 ) @ ( SV54 @ SX0 ) ) ) ) )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( SV53
@ ( sK5_Xt @ ( sK5_Xt @ ( SV53 @ SV37 ) @ ( SV54 @ SV37 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV53 @ SX0 ) @ ( SV54 @ SX0 ) ) ) )
= ( SV54
@ ( sK5_Xt @ ( sK5_Xt @ ( SV53 @ SV37 ) @ ( SV54 @ SV37 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV53 @ SX0 ) @ ( SV54 @ SX0 ) ) )
@ SV23 ) )
= $false ) ),
inference(extuni,[status(esa)],[290:[bind(SV35,$thf( sK5_Xt @ ( SV53 @ SV37 ) @ ( SV54 @ SV37 ) )),bind(SV36,$thf( ^ [SX0: a] : SX0 )),bind(SV22,$thf( SV54 @ ( sK5_Xt @ ( sK5_Xt @ ( SV53 @ SV37 ) @ ( SV54 @ SV37 ) ) @ ^ [SX0: a] : ( sK5_Xt @ ( SV53 @ SX0 ) @ ( SV54 @ SX0 ) ) ) )),bind(SV38,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV53 @ SX0 ) @ ( SV54 @ SX0 ) ) ))]]) ).
thf(341,plain,
! [SV35: a,SV23: a,SV54: a > a > a,SV37: a,SV53: a > a] :
( ( ( cR @ SV23 )
= $false )
| ( ( ( sK5_Xt @ ( SV53 @ SV37 ) @ ( SV54 @ SV37 ) )
= sK4_Xx )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV53
@ ( sK5_Xt @ ( sK5_Xt @ ( SV53 @ SV37 ) @ ( SV54 @ SV37 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV53 @ SX0 ) @ ( SV54 @ SX0 ) ) ) )
= ( SV54
@ ( sK5_Xt @ ( sK5_Xt @ ( SV53 @ SV37 ) @ ( SV54 @ SV37 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV53 @ SX0 ) @ ( SV54 @ SX0 ) ) )
@ SV23 ) )
= $false ) ),
inference(extuni,[status(esa)],[290:[bind(SV36,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV22,$thf( SV54 @ ( sK5_Xt @ ( sK5_Xt @ ( SV53 @ SV37 ) @ ( SV54 @ SV37 ) ) @ ^ [SX0: a] : ( sK5_Xt @ ( SV53 @ SX0 ) @ ( SV54 @ SX0 ) ) ) )),bind(SV38,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV53 @ SX0 ) @ ( SV54 @ SX0 ) ) ))]]) ).
thf(342,plain,
! [SV22: a > a,SV54: a > a > a,SV53: a > a,SV37: a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( cR @ ( sK5_Xt @ ( SV53 @ SV37 ) @ ( SV54 @ SV37 ) ) )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt
@ ( SV53
@ ( sK5_Xt @ ( sK5_Xt @ ( SV53 @ SV37 ) @ ( SV54 @ SV37 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV53 @ SX0 ) @ ( SV54 @ SX0 ) ) ) )
@ ( SV54
@ ( sK5_Xt @ ( sK5_Xt @ ( SV53 @ SV37 ) @ ( SV54 @ SV37 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV53 @ SX0 ) @ ( SV54 @ SX0 ) ) ) ) )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( sK5_Xt
@ ( SV53
@ ( sK5_Xt @ ( sK5_Xt @ ( SV53 @ SV37 ) @ ( SV54 @ SV37 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV53 @ SX0 ) @ ( SV54 @ SX0 ) ) ) )
@ ( SV54
@ ( sK5_Xt @ ( sK5_Xt @ ( SV53 @ SV37 ) @ ( SV54 @ SV37 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV53 @ SX0 ) @ ( SV54 @ SX0 ) ) ) ) )
= ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[290:[bind(SV35,$thf( sK5_Xt @ ( SV53 @ SV37 ) @ ( SV54 @ SV37 ) )),bind(SV36,$thf( ^ [SX0: a] : SX0 )),bind(SV38,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV53 @ SX0 ) @ ( SV54 @ SX0 ) ) ))]]) ).
thf(343,plain,
! [SV22: a > a,SV35: a,SV54: a > a > a,SV37: a,SV53: a > a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( ( sK5_Xt @ ( SV53 @ SV37 ) @ ( SV54 @ SV37 ) )
= sK4_Xx )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( sK5_Xt
@ ( SV53
@ ( sK5_Xt @ ( sK5_Xt @ ( SV53 @ SV37 ) @ ( SV54 @ SV37 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV53 @ SX0 ) @ ( SV54 @ SX0 ) ) ) )
@ ( SV54
@ ( sK5_Xt @ ( sK5_Xt @ ( SV53 @ SV37 ) @ ( SV54 @ SV37 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV53 @ SX0 ) @ ( SV54 @ SX0 ) ) ) ) )
= ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[290:[bind(SV36,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV38,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV53 @ SX0 ) @ ( SV54 @ SX0 ) ) ))]]) ).
thf(344,plain,
! [SV35: a] :
( ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt @ SV35
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false ) ),
inference(extuni,[status(esa)],[290:[bind(SV23,$thf( SV35 )),bind(SV36,$thf( ^ [SX0: a] : SX0 )),bind(SV22,$thf( ^ [SX0: a] : SX0 )),bind(SV37,$thf( SV35 )),bind(SV38,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(345,plain,
! [SV35: a] :
( ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ SV35 )
= $false ) ),
inference(extuni,[status(esa)],[290:[bind(SV23,$thf( sK4_Xx )),bind(SV36,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV22,$thf( ^ [SX0: a] : SX0 )),bind(SV37,$thf( sK4_Xx )),bind(SV38,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(346,plain,
! [SV22: a > a,SV35: a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt @ SV35
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( sK5_Xt @ SV35
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[290:[bind(SV37,$thf( SV35 )),bind(SV36,$thf( ^ [SX0: a] : SX0 )),bind(SV38,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(347,plain,
! [SV22: a > a,SV35: a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[290:[bind(SV37,$thf( sK4_Xx )),bind(SV36,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV38,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(348,plain,
! [SV26: a,SV27: a > a,SV24: a,SV25: a > a,SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cS @ ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV25 ) ) @ SV27 ) )
= $true )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV25 @ SV24 ) )
= $false )
| ( ( ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) )
= ( SV27 @ SV26 ) )
= $false ) ),
inference(extuni,[status(esa)],[284]) ).
thf(349,plain,
! [SV26: a,SV27: a > a,SV24: a,SV25: a > a,SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cS @ ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV25 ) ) @ SV27 ) )
= $true )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) )
= ( SV25 @ SV24 ) )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV27 @ SV26 ) )
= $false ) ),
inference(extuni,[status(esa)],[284]) ).
thf(350,plain,
! [SV30: a,SV31: a > a,SV28: a,SV29: a > a,SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cS @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV31 ) )
= $true )
| ( ( cR @ SV30 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) ) )
= $false )
| ( ( ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) )
= ( SV31 @ SV30 ) )
= $false ) ),
inference(extuni,[status(esa)],[278]) ).
thf(351,plain,
! [SV30: a,SV31: a > a,SV28: a,SV29: a > a,SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cS @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV31 ) )
= $true )
| ( ( cR @ SV30 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) )
= ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) ) )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV31 @ SV30 ) )
= $false ) ),
inference(extuni,[status(esa)],[278]) ).
thf(352,plain,
! [SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $false )
| ( ( ( SV36 @ SV35 )
= ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[274]) ).
thf(353,plain,
! [SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV36 @ SV35 )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[274]) ).
thf(354,plain,
! [SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) )
= ( SV38 @ SV37 ) )
= $false ) ),
inference(extuni,[status(esa)],[272]) ).
thf(355,plain,
! [SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV38 @ SV37 ) )
= $false ) ),
inference(extuni,[status(esa)],[272]) ).
thf(356,plain,
! [SV22: a > a,SV35: a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt @ SV35
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( sK5_Xt @ SV35
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ) )
= $false ) ),
inference(sim,[status(thm)],[346]) ).
thf(357,plain,
! [SV35: a] :
( ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ SV35 )
= $false ) ),
inference(sim,[status(thm)],[345]) ).
thf(358,plain,
! [SV35: a] :
( ( ( cR @ SV35 )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt @ SV35
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false ) ),
inference(sim,[status(thm)],[344]) ).
thf(359,plain,
! [SV22: a > a,SV35: a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( sK5_Xt @ SV35
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt @ SV35
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ) )
= $false ) ),
inference(sim,[status(thm)],[338]) ).
thf(360,plain,
! [SV37: a] :
( ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ SV37 )
= $false ) ),
inference(sim,[status(thm)],[337]) ).
thf(361,plain,
! [SV35: a] :
( ( ( cR
@ ( sK5_Xt @ SV35
@ ^ [SX0: a] : SX0 ) )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( sK5_Xt @ SV35
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false ) ),
inference(sim,[status(thm)],[336]) ).
thf(362,plain,
! [SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV36 @ SV35 )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) )
= $false ) ),
inference(sim,[status(thm)],[353]) ).
thf(363,plain,
! [SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $false )
| ( ( ( SV36 @ SV35 )
= ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) )
= $false ) ),
inference(sim,[status(thm)],[352]) ).
thf(364,plain,
! [SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV38 @ SV37 ) )
= $false ) ),
inference(sim,[status(thm)],[355]) ).
thf(365,plain,
! [SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) )
= ( SV38 @ SV37 ) )
= $false ) ),
inference(sim,[status(thm)],[354]) ).
thf(366,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false ) ),
inference(rename,[status(thm)],[107]) ).
thf(367,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a,SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) ) )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV65 )
= $false ) ),
inference(res,[status(thm)],[366,366]) ).
thf(369,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a,SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) ) )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false ) ),
inference(res,[status(thm)],[366,366]) ).
thf(373,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a,SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) ) )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV37 )
= $false ) ),
inference(res,[status(thm)],[366,271]) ).
thf(375,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a,SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) ) )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false ) ),
inference(res,[status(thm)],[366,271]) ).
thf(379,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a,SV28: a,SV29: a > a,SV30: a,SV31: a > a] :
( ( ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= ( ( SV31 @ SV30 )
= ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) ) ) )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV30 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV31 ) )
= $true ) ),
inference(res,[status(thm)],[366,217]) ).
thf(385,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a,SV24: a,SV25: a > a,SV26: a,SV27: a > a] :
( ( ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= ( ( SV27 @ SV26 )
= ( SV25 @ SV24 ) ) )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV25 ) ) @ SV27 ) )
= $true ) ),
inference(res,[status(thm)],[366,171]) ).
thf(391,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a,SV22: a > a,SV23: a] :
( ( ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= ( ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 )
= sK4_Xx ) )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( cR @ SV23 )
= $false ) ),
inference(res,[status(thm)],[366,148]) ).
thf(396,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a,SV16: a > a] :
( ( ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= ( ( SV16 @ sK4_Xx )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) ) )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV65 )
= $false ) ),
inference(res,[status(thm)],[366,125]) ).
thf(403,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a,SV12: a > a,SV13: a] :
( ( ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= ( ( SV12 @ SV13 )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) ) )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV13 )
= $false ) ),
inference(res,[status(thm)],[366,94]) ).
thf(408,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a,SV9: a,SV10: a > a,SV11: a] :
( ( ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= ( SV11
= ( SV10 @ SV9 ) ) )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( cS @ ( sK5_Xt @ SV11 @ SV10 ) )
= $true )
| ( ( cR @ SV9 )
= $false ) ),
inference(res,[status(thm)],[366,77]) ).
thf(413,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a,SV6: a,SV7: a > a,SV8: a] :
( ( ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= ( SV8
= ( SV7 @ SV6 ) ) )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( SV8
= ( SV7 @ ( sK5_Xt @ SV8 @ SV7 ) ) )
= $true )
| ( ( cR @ SV6 )
= $false ) ),
inference(res,[status(thm)],[366,63]) ).
thf(414,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a,SV6: a,SV7: a > a,SV8: a] :
( ( ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= ( SV8
= ( SV7 @ ( sK5_Xt @ SV8 @ SV7 ) ) ) )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV65 )
= $false )
| ( ( SV8
= ( SV7 @ SV6 ) )
= $false )
| ( ( cR @ SV6 )
= $false ) ),
inference(res,[status(thm)],[366,63]) ).
thf(419,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( ( cR @ SV65 )
= ( cR @ sK4_Xx ) )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false ) ),
inference(res,[status(thm)],[366,48]) ).
thf(420,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( ( cR @ SV63 )
= ( cR @ sK4_Xx ) )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false ) ),
inference(res,[status(thm)],[366,48]) ).
thf(421,plain,
! [SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[420:[bind(SV63,$thf( sK4_Xx ))]]) ).
thf(422,plain,
! [SV63: a,SV64: a > a,SV66: a > a] :
( ( ( ( SV66 @ sK4_Xx )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ sK4_Xx ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ sK4_Xx ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false ) ),
inference(extuni,[status(esa)],[419:[bind(SV65,$thf( sK4_Xx ))]]) ).
thf(423,plain,
! [SV65: a,SV66: a > a,SV6: a,SV7: a > a,SV63: a,SV64: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV64 @ SV63 )
= ( SV7 @ SV6 ) )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV7 @ ( sK5_Xt @ ( SV64 @ SV63 ) @ SV7 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[414:[bind(SV8,$thf( SV64 @ SV63 ))]]) ).
thf(424,plain,
! [SV63: a,SV64: a > a,SV6: a,SV7: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV7 @ SV6 ) )
= $false )
| ( ( ( SV64 @ SV63 )
= ( SV7 @ ( sK5_Xt @ ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) ) @ SV7 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[414:[bind(SV8,$thf( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) ))]]) ).
thf(425,plain,
! [SV6: a,SV7: a > a,SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) )
= ( SV7 @ ( sK5_Xt @ ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) @ SV7 ) ) )
= $true )
| ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV7 @ SV6 ) )
= $false ) ),
inference(extuni,[status(esa)],[413:[bind(SV8,$thf( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ))]]) ).
thf(426,plain,
! [SV6: a,SV7: a > a,SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV7 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV7 ) ) )
= $true )
| ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) )
= ( SV7 @ SV6 ) )
= $false ) ),
inference(extuni,[status(esa)],[413:[bind(SV8,$thf( SV66 @ SV65 ))]]) ).
thf(427,plain,
! [SV9: a,SV10: a > a,SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) @ SV10 ) )
= $true )
| ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV10 @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[408:[bind(SV11,$thf( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ))]]) ).
thf(428,plain,
! [SV9: a,SV10: a > a,SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV10 ) )
= $true )
| ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) )
= ( SV10 @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[408:[bind(SV11,$thf( SV66 @ SV65 ))]]) ).
thf(429,plain,
! [SV63: a,SV64: a > a,SV13: a,SV12: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV13 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) )
= $false )
| ( ( ( SV64 @ SV63 )
= ( SV12 @ SV13 ) )
= $false ) ),
inference(extuni,[status(esa)],[403]) ).
thf(430,plain,
! [SV65: a,SV66: a > a,SV13: a,SV12: a > a,SV63: a,SV64: a > a] :
( ( ( cR @ SV13 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV64 @ SV63 )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV12 @ SV13 ) )
= $false ) ),
inference(extuni,[status(esa)],[403]) ).
thf(431,plain,
! [SV63: a,SV64: a > a,SV16: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) )
= $false )
| ( ( ( SV64 @ SV63 )
= ( SV16 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[396]) ).
thf(432,plain,
! [SV65: a,SV66: a > a,SV16: a > a,SV63: a,SV64: a > a] :
( ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV64 @ SV63 )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV16 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[396]) ).
thf(433,plain,
! [SV63: a,SV23: a,SV70: a > a > a,SV69: a > a] :
( ( ( cR @ SV23 )
= $false )
| ( ( ( sK6_E @ SV69 @ SV23 @ SV63 @ SV70 )
= ( SV70 @ SV63 @ ( sK6_E @ SV69 @ SV23 @ SV63 @ SV70 ) ) )
= $false )
| ( ( sK4_Xx
= ( SV69 @ SV63 ) )
= $false )
| ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV69
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV69 @ SX0 ) @ ( SV70 @ SX0 ) ) ) )
= ( SV70
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV69 @ SX0 ) @ ( SV70 @ SX0 ) ) )
@ SV23 ) )
= $false ) ),
inference(extuni,[status(esa)],[391:[bind(SV65,$thf( sK4_Xx )),bind(SV66,$thf( ^ [SX0: a] : SX0 )),bind(SV22,$thf( SV70 @ ( sK5_Xt @ sK4_Xx @ ^ [SX0: a] : ( sK5_Xt @ ( SV69 @ SX0 ) @ ( SV70 @ SX0 ) ) ) )),bind(SV64,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV69 @ SX0 ) @ ( SV70 @ SX0 ) ) ))]]) ).
thf(434,plain,
! [SV63: a,SV23: a,SV70: a > a > a,SV69: a > a] :
( ( ( cR @ SV23 )
= $false )
| ( ( ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV69 @ SV63 ) @ ( SV70 @ SV63 ) ) )
= $false )
| ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV69
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV69 @ SX0 ) @ ( SV70 @ SX0 ) ) ) )
= ( SV70
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV69 @ SX0 ) @ ( SV70 @ SX0 ) ) )
@ SV23 ) )
= $false ) ),
inference(extuni,[status(esa)],[391:[bind(SV65,$thf( sK4_Xx )),bind(SV66,$thf( ^ [SX0: a] : SX0 )),bind(SV22,$thf( SV70 @ ( sK5_Xt @ sK4_Xx @ ^ [SX0: a] : ( sK5_Xt @ ( SV69 @ SX0 ) @ ( SV70 @ SX0 ) ) ) )),bind(SV64,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV69 @ SX0 ) @ ( SV70 @ SX0 ) ) ))]]) ).
thf(435,plain,
! [SV65: a,SV63: a,SV23: a,SV70: a > a > a,SV69: a > a] :
( ( ( cR @ SV23 )
= $false )
| ( ( sK4_Xx
= ( sK5_Xt @ ( SV69 @ SV63 ) @ ( SV70 @ SV63 ) ) )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV69
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV69 @ SX0 ) @ ( SV70 @ SX0 ) ) ) )
= ( SV70
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV69 @ SX0 ) @ ( SV70 @ SX0 ) ) )
@ SV23 ) )
= $false ) ),
inference(extuni,[status(esa)],[391:[bind(SV66,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV22,$thf( SV70 @ ( sK5_Xt @ sK4_Xx @ ^ [SX0: a] : ( sK5_Xt @ ( SV69 @ SX0 ) @ ( SV70 @ SX0 ) ) ) )),bind(SV64,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV69 @ SX0 ) @ ( SV70 @ SX0 ) ) ))]]) ).
thf(436,plain,
! [SV70: a > a > a,SV63: a,SV69: a > a,SV22: a > a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( ( sK7_E @ SV22 @ SV69 @ SV23 @ SV63 @ SV70 )
= ( SV70 @ SV63 @ ( sK7_E @ SV22 @ SV69 @ SV23 @ SV63 @ SV70 ) ) )
= $false )
| ( ( sK4_Xx
= ( SV69 @ SV63 ) )
= $false )
| ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( sK5_Xt
@ ( SV69
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV69 @ SX0 ) @ ( SV70 @ SX0 ) ) ) )
@ ( SV70
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV69 @ SX0 ) @ ( SV70 @ SX0 ) ) ) ) )
= ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[391:[bind(SV65,$thf( sK4_Xx )),bind(SV66,$thf( ^ [SX0: a] : SX0 )),bind(SV64,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV69 @ SX0 ) @ ( SV70 @ SX0 ) ) ))]]) ).
thf(437,plain,
! [SV22: a > a,SV70: a > a > a,SV63: a,SV69: a > a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV69 @ SV63 ) @ ( SV70 @ SV63 ) ) )
= $false )
| ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( sK5_Xt
@ ( SV69
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV69 @ SX0 ) @ ( SV70 @ SX0 ) ) ) )
@ ( SV70
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV69 @ SX0 ) @ ( SV70 @ SX0 ) ) ) ) )
= ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[391:[bind(SV65,$thf( sK4_Xx )),bind(SV66,$thf( ^ [SX0: a] : SX0 )),bind(SV64,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV69 @ SX0 ) @ ( SV70 @ SX0 ) ) ))]]) ).
thf(438,plain,
! [SV22: a > a,SV65: a,SV70: a > a > a,SV63: a,SV69: a > a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( sK4_Xx
= ( sK5_Xt @ ( SV69 @ SV63 ) @ ( SV70 @ SV63 ) ) )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( sK5_Xt
@ ( SV69
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV69 @ SX0 ) @ ( SV70 @ SX0 ) ) ) )
@ ( SV70
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV69 @ SX0 ) @ ( SV70 @ SX0 ) ) ) ) )
= ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[391:[bind(SV66,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV64,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV69 @ SX0 ) @ ( SV70 @ SX0 ) ) ))]]) ).
thf(439,plain,
( ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ sK4_Xx )
= $false )
| ( ( cR
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : SX0 ) )
= $false ) ),
inference(extuni,[status(esa)],[391:[bind(SV23,$thf( sK4_Xx )),bind(SV63,$thf( sK5_Xt @ sK4_Xx @ ^ [SX0: a] : SX0 )),bind(SV65,$thf( sK4_Xx )),bind(SV66,$thf( ^ [SX0: a] : SX0 )),bind(SV22,$thf( ^ [SX0: a] : SX0 )),bind(SV64,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(440,plain,
! [SV65: a] :
( ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( cR @ sK4_Xx )
= $false ) ),
inference(extuni,[status(esa)],[391:[bind(SV23,$thf( sK4_Xx )),bind(SV63,$thf( sK4_Xx )),bind(SV66,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV22,$thf( ^ [SX0: a] : SX0 )),bind(SV64,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(441,plain,
! [SV22: a > a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( cR @ sK4_Xx )
= $false )
| ( ( cR
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : SX0 ) )
= $false )
| ( ( ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[391:[bind(SV63,$thf( sK5_Xt @ sK4_Xx @ ^ [SX0: a] : SX0 )),bind(SV65,$thf( sK4_Xx )),bind(SV66,$thf( ^ [SX0: a] : SX0 )),bind(SV64,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(442,plain,
! [SV22: a > a,SV65: a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( cR @ sK4_Xx )
= $false )
| ( ( ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[391:[bind(SV63,$thf( sK4_Xx )),bind(SV66,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV64,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(443,plain,
! [SV23: a,SV82: a > a > a,SV65: a,SV81: a > a] :
( ( ( cR @ SV23 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( cR
@ ( sK5_Xt
@ ( SV81
@ ( sK5_Xt @ ( sK5_Xt @ ( SV81 @ SV65 ) @ ( SV82 @ SV65 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) )
@ ( SV82
@ ( sK5_Xt @ ( sK5_Xt @ ( SV81 @ SV65 ) @ ( SV82 @ SV65 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK5_Xt @ ( sK5_Xt @ ( SV81 @ SV65 ) @ ( SV82 @ SV65 ) )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( SV81 @ SV65 )
= ( SV82 @ SV65 @ SV23 ) )
= $false ) ),
inference(extuni,[status(esa)],[391:[bind(SV63,$thf( sK5_Xt @ ( SV81 @ ( sK5_Xt @ ( sK5_Xt @ ( SV81 @ SV65 ) @ ( SV82 @ SV65 ) ) @ ^ [SX0: a] : ( sK5_Xt @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) @ ( SV82 @ ( sK5_Xt @ ( sK5_Xt @ ( SV81 @ SV65 ) @ ( SV82 @ SV65 ) ) @ ^ [SX0: a] : ( sK5_Xt @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) )),bind(SV64,$thf( ^ [SX0: a] : SX0 )),bind(SV22,$thf( SV82 @ SV65 )),bind(SV66,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ))]]) ).
thf(444,plain,
! [SV63: a,SV23: a,SV82: a > a > a,SV65: a,SV81: a > a] :
( ( ( cR @ SV23 )
= $false )
| ( ( ( sK5_Xt
@ ( SV81
@ ( sK5_Xt @ ( sK5_Xt @ ( SV81 @ SV65 ) @ ( SV82 @ SV65 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) )
@ ( SV82
@ ( sK5_Xt @ ( sK5_Xt @ ( SV81 @ SV65 ) @ ( SV82 @ SV65 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) )
= sK4_Xx )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV81 @ SV65 )
= ( SV82 @ SV65 @ SV23 ) )
= $false ) ),
inference(extuni,[status(esa)],[391:[bind(SV64,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV22,$thf( SV82 @ SV65 )),bind(SV66,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ))]]) ).
thf(445,plain,
! [SV22: a > a,SV82: a > a > a,SV81: a > a,SV65: a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( cR
@ ( sK5_Xt
@ ( SV81
@ ( sK5_Xt @ ( sK5_Xt @ ( SV81 @ SV65 ) @ ( SV82 @ SV65 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) )
@ ( SV82
@ ( sK5_Xt @ ( sK5_Xt @ ( SV81 @ SV65 ) @ ( SV82 @ SV65 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK5_Xt @ ( sK5_Xt @ ( SV81 @ SV65 ) @ ( SV82 @ SV65 ) )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( sK5_Xt @ ( SV81 @ SV65 ) @ ( SV82 @ SV65 ) )
= ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[391:[bind(SV63,$thf( sK5_Xt @ ( SV81 @ ( sK5_Xt @ ( sK5_Xt @ ( SV81 @ SV65 ) @ ( SV82 @ SV65 ) ) @ ^ [SX0: a] : ( sK5_Xt @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) @ ( SV82 @ ( sK5_Xt @ ( sK5_Xt @ ( SV81 @ SV65 ) @ ( SV82 @ SV65 ) ) @ ^ [SX0: a] : ( sK5_Xt @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) )),bind(SV64,$thf( ^ [SX0: a] : SX0 )),bind(SV66,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ))]]) ).
thf(446,plain,
! [SV22: a > a,SV63: a,SV82: a > a > a,SV65: a,SV81: a > a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( ( sK5_Xt
@ ( SV81
@ ( sK5_Xt @ ( sK5_Xt @ ( SV81 @ SV65 ) @ ( SV82 @ SV65 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) )
@ ( SV82
@ ( sK5_Xt @ ( sK5_Xt @ ( SV81 @ SV65 ) @ ( SV82 @ SV65 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) )
= sK4_Xx )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( sK5_Xt @ ( SV81 @ SV65 ) @ ( SV82 @ SV65 ) )
= ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[391:[bind(SV64,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV66,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ))]]) ).
thf(447,plain,
! [SV22: a > a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( cR @ ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ) )
= $false )
| ( ( cR
@ ( sK5_Xt @ ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 )
@ ^ [SX0: a] : SX0 ) )
= $false )
| ( ( ( sK5_Xt @ ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false ) ),
inference(extuni,[status(esa)],[391:[bind(SV63,$thf( sK5_Xt @ ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ) @ ^ [SX0: a] : SX0 )),bind(SV64,$thf( ^ [SX0: a] : SX0 )),bind(SV65,$thf( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 )),bind(SV66,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(448,plain,
! [SV63: a,SV22: a > a,SV23: a] :
( ( ( cR @ SV23 )
= $false )
| ( ( ( sK5_Xt @ ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( cR @ ( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 ) )
= $false )
| ( ( cR @ SV63 )
= $false ) ),
inference(extuni,[status(esa)],[391:[bind(SV64,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV65,$thf( sK5_Xt @ ( SV22 @ SV23 ) @ SV22 )),bind(SV66,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(449,plain,
! [SV26: a,SV27: a > a,SV24: a,SV25: a > a,SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cS @ ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV25 ) ) @ SV27 ) )
= $true )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV25 @ SV24 ) )
= $false )
| ( ( ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) )
= ( SV27 @ SV26 ) )
= $false ) ),
inference(extuni,[status(esa)],[385]) ).
thf(450,plain,
! [SV26: a,SV27: a > a,SV24: a,SV25: a > a,SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cS @ ( sK5_Xt @ ( SV25 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV25 ) ) @ SV27 ) )
= $true )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) )
= ( SV25 @ SV24 ) )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV27 @ SV26 ) )
= $false ) ),
inference(extuni,[status(esa)],[385]) ).
thf(451,plain,
! [SV30: a,SV31: a > a,SV28: a,SV29: a > a,SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cS @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV31 ) )
= $true )
| ( ( cR @ SV30 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) ) )
= $false )
| ( ( ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) )
= ( SV31 @ SV30 ) )
= $false ) ),
inference(extuni,[status(esa)],[379]) ).
thf(452,plain,
! [SV30: a,SV31: a > a,SV28: a,SV29: a > a,SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cS @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV31 ) )
= $true )
| ( ( cR @ SV30 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) )
= ( SV29 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV29 ) ) )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV31 @ SV30 ) )
= $false ) ),
inference(extuni,[status(esa)],[379]) ).
thf(453,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a,SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $false )
| ( ( ( SV64 @ SV63 )
= ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[375]) ).
thf(454,plain,
! [SV65: a,SV66: a > a,SV63: a,SV64: a > a,SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV64 @ SV63 )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[375]) ).
thf(455,plain,
! [SV37: a,SV38: a > a,SV35: a,SV36: a > a,SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) )
= ( SV38 @ SV37 ) )
= $false ) ),
inference(extuni,[status(esa)],[373]) ).
thf(456,plain,
! [SV37: a,SV38: a > a,SV35: a,SV36: a > a,SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $true )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV38 @ SV37 ) )
= $false ) ),
inference(extuni,[status(esa)],[373]) ).
thf(457,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $false )
| ( ( ( SV64 @ SV63 )
= ( SV66 @ SV65 ) )
= $false ) ),
inference(extuni,[status(esa)],[369]) ).
thf(458,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV64 @ SV63 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV66 @ SV65 ) )
= $false ) ),
inference(extuni,[status(esa)],[369]) ).
thf(459,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV63 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) )
= ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[367]) ).
thf(460,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV63 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[367]) ).
thf(461,plain,
! [SV65: a] :
( ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ SV65 )
= $false ) ),
inference(sim,[status(thm)],[440]) ).
thf(462,plain,
( ( ( cR @ sK4_Xx )
= $false )
| ( ( cR
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : SX0 ) )
= $false ) ),
inference(sim,[status(thm)],[439]) ).
thf(463,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV64 @ SV63 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV66 @ SV65 ) )
= $false ) ),
inference(sim,[status(thm)],[458]) ).
thf(464,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $false )
| ( ( ( SV64 @ SV63 )
= ( SV66 @ SV65 ) )
= $false ) ),
inference(sim,[status(thm)],[457]) ).
thf(465,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) ) )
= $false ) ),
inference(sim,[status(thm)],[460]) ).
thf(466,plain,
! [SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $true )
| ( ( cR @ SV63 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV66 @ SV65 )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) )
= ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) ) )
= $false ) ),
inference(sim,[status(thm)],[459]) ).
thf(467,plain,
! [SV89: a,SV90: a > a,SV91: a,SV92: a > a] :
( ( ( cR @ SV89 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV92 ) ) @ SV90 ) )
= $true )
| ( ( cR @ SV91 )
= $false )
| ( ( ( SV92 @ SV91 )
= ( SV90 @ SV89 ) )
= $false ) ),
inference(rename,[status(thm)],[108]) ).
thf(476,plain,
! [SV89: a,SV90: a > a,SV91: a,SV92: a > a,SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( ( ( SV92 @ SV91 )
= ( SV90 @ SV89 ) )
= ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) ) )
= $false )
| ( ( cR @ SV89 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV92 ) ) @ SV90 ) )
= $true )
| ( ( cR @ SV91 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false ) ),
inference(res,[status(thm)],[467,366]) ).
thf(482,plain,
! [SV89: a,SV90: a > a,SV91: a,SV92: a > a,SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( ( ( SV92 @ SV91 )
= ( SV90 @ SV89 ) )
= ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) ) )
= $false )
| ( ( cR @ SV89 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV92 ) ) @ SV90 ) )
= $true )
| ( ( cR @ SV91 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false ) ),
inference(res,[status(thm)],[467,271]) ).
thf(503,plain,
! [SV89: a,SV90: a > a,SV91: a,SV92: a > a,SV16: a > a] :
( ( ( ( ( SV92 @ SV91 )
= ( SV90 @ SV89 ) )
= ( ( SV16 @ sK4_Xx )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) ) )
= $false )
| ( ( cR @ SV89 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV92 ) ) @ SV90 ) )
= $true )
| ( ( cR @ SV91 )
= $false ) ),
inference(res,[status(thm)],[467,125]) ).
thf(510,plain,
! [SV89: a,SV90: a > a,SV91: a,SV92: a > a,SV12: a > a,SV13: a] :
( ( ( ( ( SV92 @ SV91 )
= ( SV90 @ SV89 ) )
= ( ( SV12 @ SV13 )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) ) )
= $false )
| ( ( cR @ SV89 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV92 ) ) @ SV90 ) )
= $true )
| ( ( cR @ SV91 )
= $false )
| ( ( cR @ SV13 )
= $false ) ),
inference(res,[status(thm)],[467,94]) ).
thf(521,plain,
! [SV89: a,SV90: a > a,SV91: a,SV92: a > a,SV6: a,SV7: a > a,SV8: a] :
( ( ( ( ( SV92 @ SV91 )
= ( SV90 @ SV89 ) )
= ( SV8
= ( SV7 @ ( sK5_Xt @ SV8 @ SV7 ) ) ) )
= $false )
| ( ( cR @ SV89 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV92 ) ) @ SV90 ) )
= $true )
| ( ( cR @ SV91 )
= $false )
| ( ( SV8
= ( SV7 @ SV6 ) )
= $false )
| ( ( cR @ SV6 )
= $false ) ),
inference(res,[status(thm)],[467,63]) ).
thf(524,plain,
! [SV89: a,SV90: a > a,SV91: a,SV92: a > a] :
( ( ( ( cS @ ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV92 ) ) @ SV90 ) )
= ( cS @ sK4_Xx ) )
= $false )
| ( ( cR @ SV89 )
= $false )
| ( ( cR @ SV91 )
= $false )
| ( ( ( SV92 @ SV91 )
= ( SV90 @ SV89 ) )
= $false ) ),
inference(res,[status(thm)],[467,51]) ).
thf(526,plain,
! [SV89: a,SV90: a > a,SV91: a,SV92: a > a] :
( ( ( ( cR @ SV91 )
= ( cR @ sK4_Xx ) )
= $false )
| ( ( cR @ SV89 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV92 ) ) @ SV90 ) )
= $true )
| ( ( ( SV92 @ SV91 )
= ( SV90 @ SV89 ) )
= $false ) ),
inference(res,[status(thm)],[467,48]) ).
thf(527,plain,
! [SV89: a,SV90: a > a,SV91: a,SV92: a > a] :
( ( ( ( cR @ SV89 )
= ( cR @ sK4_Xx ) )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV92 ) ) @ SV90 ) )
= $true )
| ( ( cR @ SV91 )
= $false )
| ( ( ( SV92 @ SV91 )
= ( SV90 @ SV89 ) )
= $false ) ),
inference(res,[status(thm)],[467,48]) ).
thf(528,plain,
! [SV90: a > a,SV91: a,SV92: a > a] :
( ( ( cR @ SV91 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV92 ) ) @ SV90 ) )
= $true )
| ( ( ( SV92 @ SV91 )
= ( SV90 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[527:[bind(SV89,$thf( sK4_Xx ))]]) ).
thf(529,plain,
! [SV89: a,SV90: a > a,SV92: a > a] :
( ( ( cS @ ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ sK4_Xx ) @ SV92 ) ) @ SV90 ) )
= $true )
| ( ( cR @ SV89 )
= $false )
| ( ( ( SV92 @ sK4_Xx )
= ( SV90 @ SV89 ) )
= $false ) ),
inference(extuni,[status(esa)],[526:[bind(SV91,$thf( sK4_Xx ))]]) ).
thf(530,plain,
! [SV89: a,SV90: a > a,SV91: a,SV92: a > a] :
( ( ( cR @ SV91 )
= $false )
| ( ( cR @ SV89 )
= $false )
| ( ( ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV92 ) ) @ SV90 )
= sK4_Xx )
= $false )
| ( ( ( SV92 @ SV91 )
= ( SV90 @ SV89 ) )
= $false ) ),
inference(extuni,[status(esa)],[524]) ).
thf(531,plain,
! [SV91: a,SV92: a > a,SV6: a,SV7: a > a,SV89: a,SV90: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( cR @ SV91 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV92 ) ) @ SV90 ) )
= $true )
| ( ( cR @ SV89 )
= $false )
| ( ( ( SV90 @ SV89 )
= ( SV7 @ SV6 ) )
= $false )
| ( ( ( SV92 @ SV91 )
= ( SV7 @ ( sK5_Xt @ ( SV90 @ SV89 ) @ SV7 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[521:[bind(SV8,$thf( SV90 @ SV89 ))]]) ).
thf(532,plain,
! [SV89: a,SV90: a > a,SV6: a,SV7: a > a,SV91: a,SV92: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( cR @ SV91 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV92 ) ) @ SV90 ) )
= $true )
| ( ( cR @ SV89 )
= $false )
| ( ( ( SV92 @ SV91 )
= ( SV7 @ SV6 ) )
= $false )
| ( ( ( SV90 @ SV89 )
= ( SV7 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV7 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[521:[bind(SV8,$thf( SV92 @ SV91 ))]]) ).
thf(533,plain,
! [SV89: a,SV90: a > a,SV13: a,SV12: a > a,SV91: a,SV92: a > a] :
( ( ( cR @ SV13 )
= $false )
| ( ( cR @ SV91 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV92 ) ) @ SV90 ) )
= $true )
| ( ( cR @ SV89 )
= $false )
| ( ( ( SV92 @ SV91 )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) )
= $false )
| ( ( ( SV90 @ SV89 )
= ( SV12 @ SV13 ) )
= $false ) ),
inference(extuni,[status(esa)],[510]) ).
thf(534,plain,
! [SV91: a,SV92: a > a,SV13: a,SV12: a > a,SV89: a,SV90: a > a] :
( ( ( cR @ SV13 )
= $false )
| ( ( cR @ SV91 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV92 ) ) @ SV90 ) )
= $true )
| ( ( cR @ SV89 )
= $false )
| ( ( ( SV90 @ SV89 )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) )
= $false )
| ( ( ( SV92 @ SV91 )
= ( SV12 @ SV13 ) )
= $false ) ),
inference(extuni,[status(esa)],[510]) ).
thf(535,plain,
! [SV89: a,SV90: a > a,SV16: a > a,SV91: a,SV92: a > a] :
( ( ( cR @ SV91 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV92 ) ) @ SV90 ) )
= $true )
| ( ( cR @ SV89 )
= $false )
| ( ( ( SV92 @ SV91 )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) )
= $false )
| ( ( ( SV90 @ SV89 )
= ( SV16 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[503]) ).
thf(536,plain,
! [SV91: a,SV92: a > a,SV16: a > a,SV89: a,SV90: a > a] :
( ( ( cR @ SV91 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV92 ) ) @ SV90 ) )
= $true )
| ( ( cR @ SV89 )
= $false )
| ( ( ( SV90 @ SV89 )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) )
= $false )
| ( ( ( SV92 @ SV91 )
= ( SV16 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[503]) ).
thf(537,plain,
! [SV89: a,SV90: a > a,SV91: a,SV92: a > a,SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV91 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV92 ) ) @ SV90 ) )
= $true )
| ( ( cR @ SV89 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV92 @ SV91 )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $false )
| ( ( ( SV90 @ SV89 )
= ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[482]) ).
thf(538,plain,
! [SV91: a,SV92: a > a,SV89: a,SV90: a > a,SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV91 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV92 ) ) @ SV90 ) )
= $true )
| ( ( cR @ SV89 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV90 @ SV89 )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $false )
| ( ( ( SV92 @ SV91 )
= ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[482]) ).
thf(539,plain,
! [SV89: a,SV90: a > a,SV91: a,SV92: a > a,SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( cR @ SV91 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV92 ) ) @ SV90 ) )
= $true )
| ( ( cR @ SV89 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV92 @ SV91 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $false )
| ( ( ( SV90 @ SV89 )
= ( SV66 @ SV65 ) )
= $false ) ),
inference(extuni,[status(esa)],[476]) ).
thf(540,plain,
! [SV91: a,SV92: a > a,SV89: a,SV90: a > a,SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( cR @ SV91 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV92 @ ( sK5_Xt @ ( SV92 @ SV91 ) @ SV92 ) ) @ SV90 ) )
= $true )
| ( ( cR @ SV89 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV90 @ SV89 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $false )
| ( ( ( SV92 @ SV91 )
= ( SV66 @ SV65 ) )
= $false ) ),
inference(extuni,[status(esa)],[476]) ).
thf(541,plain,
! [SV93: a,SV94: a > a,SV95: a,SV96: a > a] :
( ( ( cR @ SV93 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV94 ) )
= $true )
| ( ( cR @ SV95 )
= $false )
| ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) )
= ( SV94 @ SV93 ) )
= $false ) ),
inference(rename,[status(thm)],[109]) ).
thf(556,plain,
! [SV93: a,SV94: a > a,SV95: a,SV96: a > a,SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) )
= ( SV94 @ SV93 ) )
= ( ( SV66 @ SV65 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) ) )
= $false )
| ( ( cR @ SV93 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV94 ) )
= $true )
| ( ( cR @ SV95 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( cR @ SV65 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false ) ),
inference(res,[status(thm)],[541,366]) ).
thf(562,plain,
! [SV93: a,SV94: a > a,SV95: a,SV96: a > a,SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) )
= ( SV94 @ SV93 ) )
= ( ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) ) )
= $false )
| ( ( cR @ SV93 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV94 ) )
= $true )
| ( ( cR @ SV95 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV37 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false ) ),
inference(res,[status(thm)],[541,271]) ).
thf(583,plain,
! [SV93: a,SV94: a > a,SV95: a,SV96: a > a,SV16: a > a] :
( ( ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) )
= ( SV94 @ SV93 ) )
= ( ( SV16 @ sK4_Xx )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) ) )
= $false )
| ( ( cR @ SV93 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV94 ) )
= $true )
| ( ( cR @ SV95 )
= $false ) ),
inference(res,[status(thm)],[541,125]) ).
thf(590,plain,
! [SV93: a,SV94: a > a,SV95: a,SV96: a > a,SV12: a > a,SV13: a] :
( ( ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) )
= ( SV94 @ SV93 ) )
= ( ( SV12 @ SV13 )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) ) )
= $false )
| ( ( cR @ SV93 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV94 ) )
= $true )
| ( ( cR @ SV95 )
= $false )
| ( ( cR @ SV13 )
= $false ) ),
inference(res,[status(thm)],[541,94]) ).
thf(601,plain,
! [SV93: a,SV94: a > a,SV95: a,SV96: a > a,SV6: a,SV7: a > a,SV8: a] :
( ( ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) )
= ( SV94 @ SV93 ) )
= ( SV8
= ( SV7 @ ( sK5_Xt @ SV8 @ SV7 ) ) ) )
= $false )
| ( ( cR @ SV93 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV94 ) )
= $true )
| ( ( cR @ SV95 )
= $false )
| ( ( SV8
= ( SV7 @ SV6 ) )
= $false )
| ( ( cR @ SV6 )
= $false ) ),
inference(res,[status(thm)],[541,63]) ).
thf(604,plain,
! [SV93: a,SV94: a > a,SV95: a,SV96: a > a] :
( ( ( ( cS @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV94 ) )
= ( cS @ sK4_Xx ) )
= $false )
| ( ( cR @ SV93 )
= $false )
| ( ( cR @ SV95 )
= $false )
| ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) )
= ( SV94 @ SV93 ) )
= $false ) ),
inference(res,[status(thm)],[541,51]) ).
thf(606,plain,
! [SV93: a,SV94: a > a,SV95: a,SV96: a > a] :
( ( ( ( cR @ SV95 )
= ( cR @ sK4_Xx ) )
= $false )
| ( ( cR @ SV93 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV94 ) )
= $true )
| ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) )
= ( SV94 @ SV93 ) )
= $false ) ),
inference(res,[status(thm)],[541,48]) ).
thf(607,plain,
! [SV93: a,SV94: a > a,SV95: a,SV96: a > a] :
( ( ( ( cR @ SV93 )
= ( cR @ sK4_Xx ) )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV94 ) )
= $true )
| ( ( cR @ SV95 )
= $false )
| ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) )
= ( SV94 @ SV93 ) )
= $false ) ),
inference(res,[status(thm)],[541,48]) ).
thf(608,plain,
! [SV94: a > a,SV95: a,SV96: a > a] :
( ( ( cR @ SV95 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV94 ) )
= $true )
| ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) )
= ( SV94 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[607:[bind(SV93,$thf( sK4_Xx ))]]) ).
thf(609,plain,
! [SV93: a,SV94: a > a,SV96: a > a] :
( ( ( cS @ ( sK5_Xt @ ( SV96 @ sK4_Xx ) @ SV94 ) )
= $true )
| ( ( cR @ SV93 )
= $false )
| ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ sK4_Xx ) @ SV96 ) )
= ( SV94 @ SV93 ) )
= $false ) ),
inference(extuni,[status(esa)],[606:[bind(SV95,$thf( sK4_Xx ))]]) ).
thf(610,plain,
! [SV93: a,SV94: a > a,SV95: a,SV96: a > a] :
( ( ( cR @ SV95 )
= $false )
| ( ( cR @ SV93 )
= $false )
| ( ( ( sK5_Xt @ ( SV96 @ SV95 ) @ SV94 )
= sK4_Xx )
= $false )
| ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) )
= ( SV94 @ SV93 ) )
= $false ) ),
inference(extuni,[status(esa)],[604]) ).
thf(611,plain,
! [SV95: a,SV96: a > a,SV6: a,SV7: a > a,SV93: a,SV94: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( cR @ SV95 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV94 ) )
= $true )
| ( ( cR @ SV93 )
= $false )
| ( ( ( SV94 @ SV93 )
= ( SV7 @ SV6 ) )
= $false )
| ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) )
= ( SV7 @ ( sK5_Xt @ ( SV94 @ SV93 ) @ SV7 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[601:[bind(SV8,$thf( SV94 @ SV93 ))]]) ).
thf(612,plain,
! [SV93: a,SV94: a > a,SV6: a,SV7: a > a,SV95: a,SV96: a > a] :
( ( ( cR @ SV6 )
= $false )
| ( ( cR @ SV95 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV94 ) )
= $true )
| ( ( cR @ SV93 )
= $false )
| ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) )
= ( SV7 @ SV6 ) )
= $false )
| ( ( ( SV94 @ SV93 )
= ( SV7 @ ( sK5_Xt @ ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) ) @ SV7 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[601:[bind(SV8,$thf( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) ))]]) ).
thf(613,plain,
! [SV93: a,SV94: a > a,SV13: a,SV12: a > a,SV95: a,SV96: a > a] :
( ( ( cR @ SV13 )
= $false )
| ( ( cR @ SV95 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV94 ) )
= $true )
| ( ( cR @ SV93 )
= $false )
| ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) )
= $false )
| ( ( ( SV94 @ SV93 )
= ( SV12 @ SV13 ) )
= $false ) ),
inference(extuni,[status(esa)],[590]) ).
thf(614,plain,
! [SV95: a,SV96: a > a,SV13: a,SV12: a > a,SV93: a,SV94: a > a] :
( ( ( cR @ SV13 )
= $false )
| ( ( cR @ SV95 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV94 ) )
= $true )
| ( ( cR @ SV93 )
= $false )
| ( ( ( SV94 @ SV93 )
= ( SV12 @ ( sK5_Xt @ ( SV12 @ SV13 ) @ SV12 ) ) )
= $false )
| ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) )
= ( SV12 @ SV13 ) )
= $false ) ),
inference(extuni,[status(esa)],[590]) ).
thf(615,plain,
! [SV93: a,SV94: a > a,SV16: a > a,SV95: a,SV96: a > a] :
( ( ( cR @ SV95 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV94 ) )
= $true )
| ( ( cR @ SV93 )
= $false )
| ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) )
= $false )
| ( ( ( SV94 @ SV93 )
= ( SV16 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[583]) ).
thf(616,plain,
! [SV95: a,SV96: a > a,SV16: a > a,SV93: a,SV94: a > a] :
( ( ( cR @ SV95 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV94 ) )
= $true )
| ( ( cR @ SV93 )
= $false )
| ( ( ( SV94 @ SV93 )
= ( SV16 @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) ) )
= $false )
| ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) )
= ( SV16 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[583]) ).
thf(617,plain,
! [SV93: a,SV94: a > a,SV95: a,SV96: a > a,SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV95 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV94 ) )
= $true )
| ( ( cR @ SV93 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $false )
| ( ( ( SV94 @ SV93 )
= ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[562]) ).
thf(618,plain,
! [SV95: a,SV96: a > a,SV93: a,SV94: a > a,SV35: a,SV36: a > a,SV37: a,SV38: a > a] :
( ( ( cR @ SV37 )
= $false )
| ( ( cR @ SV35 )
= $false )
| ( ( cR @ SV95 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV94 ) )
= $true )
| ( ( cR @ SV93 )
= $false )
| ( ( ( SV38 @ SV37 )
= ( SV36 @ SV35 ) )
= $false )
| ( ( ( SV94 @ SV93 )
= ( SV36 @ ( sK5_Xt @ ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) @ SV36 ) ) )
= $false )
| ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) )
= ( SV38 @ ( sK5_Xt @ ( SV38 @ SV37 ) @ SV38 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[562]) ).
thf(619,plain,
! [SV93: a,SV94: a > a,SV95: a,SV96: a > a,SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( cR @ SV95 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV94 ) )
= $true )
| ( ( cR @ SV93 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $false )
| ( ( ( SV94 @ SV93 )
= ( SV66 @ SV65 ) )
= $false ) ),
inference(extuni,[status(esa)],[556]) ).
thf(620,plain,
! [SV95: a,SV96: a > a,SV93: a,SV94: a > a,SV63: a,SV64: a > a,SV65: a,SV66: a > a] :
( ( ( cR @ SV65 )
= $false )
| ( ( cR @ SV63 )
= $false )
| ( ( cR @ SV95 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV94 ) )
= $true )
| ( ( cR @ SV93 )
= $false )
| ( ( ( SV66 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV66 ) )
= ( SV64 @ SV63 ) )
= $false )
| ( ( ( SV94 @ SV93 )
= ( SV64 @ ( sK5_Xt @ ( SV66 @ SV65 ) @ SV64 ) ) )
= $false )
| ( ( ( SV96 @ ( sK5_Xt @ ( SV96 @ SV95 ) @ SV96 ) )
= ( SV66 @ SV65 ) )
= $false ) ),
inference(extuni,[status(esa)],[556]) ).
thf(621,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[48,620,619,618,617,616,615,614,613,612,611,610,609,608,541,540,539,538,537,536,535,534,533,532,531,530,529,528,467,466,465,464,463,462,461,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,366,365,364,363,362,361,360,359,358,357,356,351,350,349,348,347,343,342,341,340,339,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,271,268,267,266,265,264,263,262,261,260,217,216,215,214,213,212,211,210,209,208,171,170,169,168,167,166,165,164,148,147,139,136,135,134,133,125,124,123,110,94,77,63,51]) ).
thf(622,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[621,34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU897^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 02:26:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (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).....eprover: CPU time limit exceeded, terminating
% 26.05/26.25 .............
% 44.69/44.95
% 44.69/44.95 ********************************
% 44.69/44.95 * All subproblems solved! *
% 44.69/44.95 ********************************
% 44.69/44.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:621,loop_count:20,foatp_calls:4,translation:fof_full)
% 44.98/45.18
% 44.98/45.18 %**** Beginning of derivation protocol ****
% 44.98/45.18 % SZS output start CNFRefutation
% See solution above
% 44.98/45.18
% 44.98/45.18 %**** End of derivation protocol ****
% 44.98/45.18 %**** no. of clauses in derivation: 304 ****
% 44.98/45.18 %**** clause counter: 621 ****
% 44.98/45.18
% 44.98/45.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:621,loop_count:20,foatp_calls:4,translation:fof_full)
%------------------------------------------------------------------------------