%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU897^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:49:12 AM UTC 2026
% Result : Theorem 181.32s 30.41s
% Output : CNFRefutation 181.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 1
% Syntax : Number of formulae : 203 ( 53 unt; 0 typ; 0 def)
% Number of atoms : 2049 (1018 equ; 0 cnn)
% Maximal formula atoms : 8 ( 10 avg)
% Number of connectives : 3127 ( 173 ~; 491 |; 26 &;2416 @)
% ( 3 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 306 ( 306 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 707 ( 99 ^; 594 !; 14 ?; 707 :)
% 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(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/sandbox2/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 > a,SV7: a] :
( ( ( cR @ SV7 )
= $false )
| ( ( ( SV6 @ SV7 )
= ( SV6 @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV6 ) ) )
= $true ) ),
inference(rename,[status(thm)],[60]) ).
thf(67,plain,
! [SV6: a > a,SV7: a] :
( ( ( ( cR @ SV7 )
= ( cR @ sK4_Xx ) )
= $false )
| ( ( ( SV6 @ SV7 )
= ( SV6 @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV6 ) ) )
= $true ) ),
inference(res,[status(thm)],[63,48]) ).
thf(68,plain,
! [SV6: a > a] :
( ( ( SV6 @ sK4_Xx )
= ( SV6 @ ( sK5_Xt @ ( SV6 @ sK4_Xx ) @ SV6 ) ) )
= $true ),
inference(extuni,[status(esa)],[67:[bind(SV7,$thf( sK4_Xx ))]]) ).
thf(69,plain,
! [SV8: a > a] :
( ( ( SV8 @ sK4_Xx )
= ( SV8 @ ( sK5_Xt @ ( SV8 @ sK4_Xx ) @ SV8 ) ) )
= $true ),
inference(rename,[status(thm)],[68]) ).
thf(72,plain,
! [SV9: a,SV10: a > a,SV11: a] :
( ( ( SV11
= ( SV10 @ ( sK5_Xt @ SV11 @ SV10 ) ) )
= $true )
| ( ( SV11
= ( SV10 @ SV9 ) )
= $false )
| ( ( cR @ SV9 )
= $false ) ),
inference(rename,[status(thm)],[58]) ).
thf(74,plain,
! [SV9: a,SV10: a > a,SV11: a,SV9: a,SV10: a > a,SV11: a] :
( ( ( ( SV11
= ( SV10 @ ( sK5_Xt @ SV11 @ SV10 ) ) )
= ( SV11
= ( SV10 @ SV9 ) ) )
= $false )
| ( ( SV11
= ( SV10 @ SV9 ) )
= $false )
| ( ( cR @ SV9 )
= $false )
| ( ( SV11
= ( SV10 @ ( sK5_Xt @ SV11 @ SV10 ) ) )
= $true )
| ( ( cR @ SV9 )
= $false ) ),
inference(res,[status(thm)],[72,72]) ).
thf(78,plain,
! [SV9: a,SV10: a > a,SV11: a,SV8: a > a] :
( ( ( ( SV11
= ( SV10 @ SV9 ) )
= ( ( SV8 @ sK4_Xx )
= ( SV8 @ ( sK5_Xt @ ( SV8 @ sK4_Xx ) @ SV8 ) ) ) )
= $false )
| ( ( SV11
= ( SV10 @ ( sK5_Xt @ SV11 @ SV10 ) ) )
= $true )
| ( ( cR @ SV9 )
= $false ) ),
inference(res,[status(thm)],[72,69]) ).
thf(80,plain,
! [SV9: a,SV10: a > a,SV11: a,SV6: a > a,SV7: a] :
( ( ( ( SV11
= ( SV10 @ SV9 ) )
= ( ( SV6 @ SV7 )
= ( SV6 @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV6 ) ) ) )
= $false )
| ( ( SV11
= ( SV10 @ ( sK5_Xt @ SV11 @ SV10 ) ) )
= $true )
| ( ( cR @ SV9 )
= $false )
| ( ( cR @ SV7 )
= $false ) ),
inference(res,[status(thm)],[72,63]) ).
thf(86,plain,
! [SV7: a,SV6: a > a,SV9: a,SV10: a > a] :
( ( ( cR @ SV7 )
= $false )
| ( ( cR @ SV9 )
= $false )
| ( ( ( SV6 @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV6 ) )
= ( SV10 @ ( sK5_Xt @ ( SV6 @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV6 ) ) @ SV10 ) ) )
= $true )
| ( ( ( SV10 @ SV9 )
= ( SV6 @ SV7 ) )
= $false ) ),
inference(extuni,[status(esa)],[80:[bind(SV11,$thf( SV6 @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV6 ) ))]]) ).
thf(87,plain,
! [SV7: a,SV6: a > a,SV9: a,SV10: a > a] :
( ( ( cR @ SV7 )
= $false )
| ( ( cR @ SV9 )
= $false )
| ( ( ( SV6 @ SV7 )
= ( SV10 @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV10 ) ) )
= $true )
| ( ( ( SV10 @ SV9 )
= ( SV6 @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV6 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[80:[bind(SV11,$thf( SV6 @ SV7 ))]]) ).
thf(88,plain,
! [SV8: a > a,SV9: a,SV10: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( ( SV8 @ ( sK5_Xt @ ( SV8 @ sK4_Xx ) @ SV8 ) )
= ( SV10 @ ( sK5_Xt @ ( SV8 @ ( sK5_Xt @ ( SV8 @ sK4_Xx ) @ SV8 ) ) @ SV10 ) ) )
= $true )
| ( ( ( SV10 @ SV9 )
= ( SV8 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[78:[bind(SV11,$thf( SV8 @ ( sK5_Xt @ ( SV8 @ sK4_Xx ) @ SV8 ) ))]]) ).
thf(89,plain,
! [SV8: a > a,SV9: a,SV10: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( ( SV8 @ sK4_Xx )
= ( SV10 @ ( sK5_Xt @ ( SV8 @ sK4_Xx ) @ SV10 ) ) )
= $true )
| ( ( ( SV10 @ SV9 )
= ( SV8 @ ( sK5_Xt @ ( SV8 @ sK4_Xx ) @ SV8 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[78:[bind(SV11,$thf( SV8 @ sK4_Xx ))]]) ).
thf(92,plain,
! [SV9: a,SV10: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( ( SV10 @ SV9 )
= ( SV10 @ ( sK5_Xt @ ( SV10 @ SV9 ) @ SV10 ) ) )
= $true )
| ( ( cR @ SV9 )
= $false )
| ( ( ( SV10 @ ( sK5_Xt @ ( SV10 @ SV9 ) @ SV10 ) )
= ( SV10 @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[74:[bind(SV11,$thf( SV10 @ SV9 ))]]) ).
thf(94,plain,
! [SV9: a,SV10: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( ( SV10 @ SV9 )
= ( SV10 @ ( sK5_Xt @ ( SV10 @ SV9 ) @ SV10 ) ) )
= $true )
| ( ( ( SV10 @ ( sK5_Xt @ ( SV10 @ SV9 ) @ SV10 ) )
= ( SV10 @ SV9 ) )
= $false ) ),
inference(sim,[status(thm)],[92]) ).
thf(96,plain,
! [SV13: a > a,SV14: a] :
( ( ( cR @ SV14 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV13 @ SV14 ) @ SV13 ) )
= $true ) ),
inference(rename,[status(thm)],[61]) ).
thf(105,plain,
! [SV13: a > a,SV14: a] :
( ( ( ( cS @ ( sK5_Xt @ ( SV13 @ SV14 ) @ SV13 ) )
= ( cS @ sK4_Xx ) )
= $false )
| ( ( cR @ SV14 )
= $false ) ),
inference(res,[status(thm)],[96,51]) ).
thf(106,plain,
! [SV13: a > a,SV14: a] :
( ( ( ( cR @ SV14 )
= ( cR @ sK4_Xx ) )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV13 @ SV14 ) @ SV13 ) )
= $true ) ),
inference(res,[status(thm)],[96,48]) ).
thf(107,plain,
! [SV13: a > a] :
( ( cS @ ( sK5_Xt @ ( SV13 @ sK4_Xx ) @ SV13 ) )
= $true ),
inference(extuni,[status(esa)],[106:[bind(SV14,$thf( sK4_Xx ))]]) ).
thf(108,plain,
! [SV13: a > a,SV14: a] :
( ( ( cR @ SV14 )
= $false )
| ( ( ( sK5_Xt @ ( SV13 @ SV14 ) @ SV13 )
= sK4_Xx )
= $false ) ),
inference(extuni,[status(esa)],[105]) ).
thf(109,plain,
! [SV15: a > a] :
( ( cS @ ( sK5_Xt @ ( SV15 @ sK4_Xx ) @ SV15 ) )
= $true ),
inference(rename,[status(thm)],[107]) ).
thf(114,plain,
! [SV15: a > a] :
( ( ( cS @ ( sK5_Xt @ ( SV15 @ sK4_Xx ) @ SV15 ) )
= ( cS @ sK4_Xx ) )
= $false ),
inference(res,[status(thm)],[109,51]) ).
thf(115,plain,
! [SV15: a > a] :
( ( ( sK5_Xt @ ( SV15 @ sK4_Xx ) @ SV15 )
= sK4_Xx )
= $false ),
inference(extuni,[status(esa)],[114]) ).
thf(116,plain,
! [SV16: a > a] :
( ( ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 )
= sK4_Xx )
= $false ),
inference(rename,[status(thm)],[115]) ).
thf(119,plain,
! [SV16: a > a,SV9: a,SV10: a > a,SV11: a] :
( ( ( ( ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 )
= sK4_Xx )
= ( SV11
= ( SV10 @ ( sK5_Xt @ SV11 @ SV10 ) ) ) )
= $false )
| ( ( SV11
= ( SV10 @ SV9 ) )
= $false )
| ( ( cR @ SV9 )
= $false ) ),
inference(res,[status(thm)],[116,72]) ).
thf(120,plain,
! [SV16: a > a,SV8: a > a] :
( ( ( ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 )
= sK4_Xx )
= ( ( SV8 @ sK4_Xx )
= ( SV8 @ ( sK5_Xt @ ( SV8 @ sK4_Xx ) @ SV8 ) ) ) )
= $false ),
inference(res,[status(thm)],[116,69]) ).
thf(121,plain,
! [SV16: a > a,SV6: a > a,SV7: a] :
( ( ( ( ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 )
= sK4_Xx )
= ( ( SV6 @ SV7 )
= ( SV6 @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV6 ) ) ) )
= $false )
| ( ( cR @ SV7 )
= $false ) ),
inference(res,[status(thm)],[116,63]) ).
thf(123,plain,
! [SV6: a > a,SV16: a > a,SV7: a] :
( ( ( cR @ SV7 )
= $false )
| ( ( ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 )
= ( SV6 @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV6 ) ) )
= $false )
| ( ( sK4_Xx
= ( SV6 @ SV7 ) )
= $false ) ),
inference(extuni,[status(esa)],[121]) ).
thf(124,plain,
! [SV16: a > a,SV6: a > a,SV7: a] :
( ( ( cR @ SV7 )
= $false )
| ( ( sK4_Xx
= ( SV6 @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV6 ) ) )
= $false )
| ( ( ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 )
= ( SV6 @ SV7 ) )
= $false ) ),
inference(extuni,[status(esa)],[121]) ).
thf(125,plain,
! [SV8: a > a,SV16: a > a] :
( ( ( ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 )
= ( SV8 @ ( sK5_Xt @ ( SV8 @ sK4_Xx ) @ SV8 ) ) )
= $false )
| ( ( sK4_Xx
= ( SV8 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[120]) ).
thf(126,plain,
! [SV16: a > a,SV8: a > a] :
( ( ( sK4_Xx
= ( SV8 @ ( sK5_Xt @ ( SV8 @ sK4_Xx ) @ SV8 ) ) )
= $false )
| ( ( ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 )
= ( SV8 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[120]) ).
thf(127,plain,
! [SV16: a > a,SV10: a > a,SV9: a] :
( ( ( cR @ SV9 )
= $false )
| ( ( sK4_Xx
= ( SV10 @ SV9 ) )
= $false )
| ( ( ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 )
= ( SV10 @ ( sK5_Xt @ sK4_Xx @ SV10 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[119:[bind(SV11,$thf( sK4_Xx ))]]) ).
thf(128,plain,
! [SV10: a > a,SV16: a > a,SV9: a] :
( ( ( cR @ SV9 )
= $false )
| ( ( ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 )
= ( SV10 @ SV9 ) )
= $false )
| ( ( sK4_Xx
= ( SV10 @ ( sK5_Xt @ ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) @ SV10 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[119:[bind(SV11,$thf( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ))]]) ).
thf(129,plain,
! [SV17: a,SV18: a > a,SV19: a] :
( ( ( cS @ ( sK5_Xt @ SV19 @ SV18 ) )
= $true )
| ( ( SV19
= ( SV18 @ SV17 ) )
= $false )
| ( ( cR @ SV17 )
= $false ) ),
inference(rename,[status(thm)],[59]) ).
thf(143,plain,
! [SV17: a,SV18: a > a,SV19: a,SV9: a,SV10: a > a,SV11: a] :
( ( ( ( SV19
= ( SV18 @ SV17 ) )
= ( SV11
= ( SV10 @ ( sK5_Xt @ SV11 @ SV10 ) ) ) )
= $false )
| ( ( cS @ ( sK5_Xt @ SV19 @ SV18 ) )
= $true )
| ( ( cR @ SV17 )
= $false )
| ( ( SV11
= ( SV10 @ SV9 ) )
= $false )
| ( ( cR @ SV9 )
= $false ) ),
inference(res,[status(thm)],[129,72]) ).
thf(145,plain,
! [SV17: a,SV18: a > a,SV19: a,SV8: a > a] :
( ( ( ( SV19
= ( SV18 @ SV17 ) )
= ( ( SV8 @ sK4_Xx )
= ( SV8 @ ( sK5_Xt @ ( SV8 @ sK4_Xx ) @ SV8 ) ) ) )
= $false )
| ( ( cS @ ( sK5_Xt @ SV19 @ SV18 ) )
= $true )
| ( ( cR @ SV17 )
= $false ) ),
inference(res,[status(thm)],[129,69]) ).
thf(147,plain,
! [SV17: a,SV18: a > a,SV19: a,SV6: a > a,SV7: a] :
( ( ( ( SV19
= ( SV18 @ SV17 ) )
= ( ( SV6 @ SV7 )
= ( SV6 @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV6 ) ) ) )
= $false )
| ( ( cS @ ( sK5_Xt @ SV19 @ SV18 ) )
= $true )
| ( ( cR @ SV17 )
= $false )
| ( ( cR @ SV7 )
= $false ) ),
inference(res,[status(thm)],[129,63]) ).
thf(154,plain,
! [SV7: a,SV6: a > a,SV17: a,SV18: a > a] :
( ( ( cR @ SV7 )
= $false )
| ( ( cR @ SV17 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV6 @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV6 ) ) @ SV18 ) )
= $true )
| ( ( ( SV18 @ SV17 )
= ( SV6 @ SV7 ) )
= $false ) ),
inference(extuni,[status(esa)],[147:[bind(SV19,$thf( SV6 @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV6 ) ))]]) ).
thf(155,plain,
! [SV7: a,SV6: a > a,SV17: a,SV18: a > a] :
( ( ( cR @ SV7 )
= $false )
| ( ( cR @ SV17 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV18 ) )
= $true )
| ( ( ( SV18 @ SV17 )
= ( SV6 @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV6 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[147:[bind(SV19,$thf( SV6 @ SV7 ))]]) ).
thf(156,plain,
! [SV8: a > a,SV17: a,SV18: a > a] :
( ( ( cR @ SV17 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV8 @ ( sK5_Xt @ ( SV8 @ sK4_Xx ) @ SV8 ) ) @ SV18 ) )
= $true )
| ( ( ( SV18 @ SV17 )
= ( SV8 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[145:[bind(SV19,$thf( SV8 @ ( sK5_Xt @ ( SV8 @ sK4_Xx ) @ SV8 ) ))]]) ).
thf(157,plain,
! [SV8: a > a,SV17: a,SV18: a > a] :
( ( ( cR @ SV17 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV8 @ sK4_Xx ) @ SV18 ) )
= $true )
| ( ( ( SV18 @ SV17 )
= ( SV8 @ ( sK5_Xt @ ( SV8 @ sK4_Xx ) @ SV8 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[145:[bind(SV19,$thf( SV8 @ sK4_Xx ))]]) ).
thf(158,plain,
! [SV9: a,SV10: a > a,SV17: a,SV18: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( cR @ SV17 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV10 @ ( sK5_Xt @ ( SV18 @ SV17 ) @ SV10 ) ) @ SV18 ) )
= $true )
| ( ( ( SV18 @ SV17 )
= ( SV10 @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[143:[bind(SV19,$thf( SV10 @ ( sK5_Xt @ ( SV18 @ SV17 ) @ SV10 ) )),bind(SV11,$thf( SV18 @ SV17 ))]]) ).
thf(159,plain,
! [SV9: a,SV10: a > a,SV17: a,SV18: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( cR @ SV17 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV10 @ SV9 ) @ SV18 ) )
= $true )
| ( ( ( SV18 @ SV17 )
= ( SV10 @ ( sK5_Xt @ ( SV10 @ SV9 ) @ SV10 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[143:[bind(SV11,$thf( SV10 @ SV9 )),bind(SV19,$thf( SV10 @ SV9 ))]]) ).
thf(163,plain,
! [SV23: a > a,SV24: a] :
( ( ( cR @ SV24 )
= $false )
| ( ( ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 )
= sK4_Xx )
= $false ) ),
inference(rename,[status(thm)],[108]) ).
thf(170,plain,
! [SV23: a > a,SV24: a,SV9: a,SV10: a > a,SV11: a] :
( ( ( ( ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 )
= sK4_Xx )
= ( SV11
= ( SV10 @ ( sK5_Xt @ SV11 @ SV10 ) ) ) )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( SV11
= ( SV10 @ SV9 ) )
= $false )
| ( ( cR @ SV9 )
= $false ) ),
inference(res,[status(thm)],[163,72]) ).
thf(172,plain,
! [SV23: a > a,SV24: a,SV8: a > a] :
( ( ( ( ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 )
= sK4_Xx )
= ( ( SV8 @ sK4_Xx )
= ( SV8 @ ( sK5_Xt @ ( SV8 @ sK4_Xx ) @ SV8 ) ) ) )
= $false )
| ( ( cR @ SV24 )
= $false ) ),
inference(res,[status(thm)],[163,69]) ).
thf(174,plain,
! [SV23: a > a,SV24: a,SV6: a > a,SV7: a] :
( ( ( ( ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 )
= sK4_Xx )
= ( ( SV6 @ SV7 )
= ( SV6 @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV6 ) ) ) )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( cR @ SV7 )
= $false ) ),
inference(res,[status(thm)],[163,63]) ).
thf(180,plain,
! [SV6: a > a,SV23: a > a,SV24: a,SV7: a] :
( ( ( cR @ SV7 )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 )
= ( SV6 @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV6 ) ) )
= $false )
| ( ( sK4_Xx
= ( SV6 @ SV7 ) )
= $false ) ),
inference(extuni,[status(esa)],[174]) ).
thf(181,plain,
! [SV23: a > a,SV6: a > a,SV24: a,SV7: a] :
( ( ( cR @ SV7 )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( sK4_Xx
= ( SV6 @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV6 ) ) )
= $false )
| ( ( ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 )
= ( SV6 @ SV7 ) )
= $false ) ),
inference(extuni,[status(esa)],[174]) ).
thf(182,plain,
! [SV8: a > a,SV23: a > a,SV24: a] :
( ( ( cR @ SV24 )
= $false )
| ( ( ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 )
= ( SV8 @ ( sK5_Xt @ ( SV8 @ sK4_Xx ) @ SV8 ) ) )
= $false )
| ( ( sK4_Xx
= ( SV8 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[172]) ).
thf(183,plain,
! [SV23: a > a,SV8: a > a,SV24: a] :
( ( ( cR @ SV24 )
= $false )
| ( ( sK4_Xx
= ( SV8 @ ( sK5_Xt @ ( SV8 @ sK4_Xx ) @ SV8 ) ) )
= $false )
| ( ( ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 )
= ( SV8 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[172]) ).
thf(184,plain,
! [SV23: a > a,SV24: a,SV10: a > a,SV9: a] :
( ( ( cR @ SV9 )
= $false )
| ( ( sK4_Xx
= ( SV10 @ SV9 ) )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 )
= ( SV10 @ ( sK5_Xt @ sK4_Xx @ SV10 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[170:[bind(SV11,$thf( sK4_Xx ))]]) ).
thf(185,plain,
! [SV10: a > a,SV24: a,SV23: a > a,SV9: a] :
( ( ( cR @ SV9 )
= $false )
| ( ( ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 )
= ( SV10 @ SV9 ) )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( sK4_Xx
= ( SV10 @ ( sK5_Xt @ ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 ) @ SV10 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[170:[bind(SV11,$thf( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 ))]]) ).
thf(187,plain,
! [SV26: a,SV27: a > a,SV28: a,SV29: a > a] :
( ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= $false ) ),
inference(rename,[status(thm)],[86]) ).
thf(188,plain,
! [SV26: a,SV27: a > a,SV28: a,SV29: a > a,SV26: a,SV27: a > a,SV28: a,SV29: a > a] :
( ( ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) ) )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true ) ),
inference(res,[status(thm)],[187,187]) ).
thf(189,plain,
! [SV26: a,SV27: a > a,SV28: a,SV29: a > a,SV26: a,SV27: a > a,SV28: a,SV29: a > a] :
( ( ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) ) )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= $false ) ),
inference(res,[status(thm)],[187,187]) ).
thf(194,plain,
! [SV26: a,SV27: a > a,SV28: a,SV29: a > a,SV23: a > a,SV24: a] :
( ( ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= ( ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 )
= sK4_Xx ) )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= $false )
| ( ( cR @ SV24 )
= $false ) ),
inference(res,[status(thm)],[187,163]) ).
thf(197,plain,
! [SV26: a,SV27: a > a,SV28: a,SV29: a > a,SV17: a,SV18: a > a,SV19: a] :
( ( ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= ( SV19
= ( SV18 @ SV17 ) ) )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= $false )
| ( ( cS @ ( sK5_Xt @ SV19 @ SV18 ) )
= $true )
| ( ( cR @ SV17 )
= $false ) ),
inference(res,[status(thm)],[187,129]) ).
thf(201,plain,
! [SV26: a,SV27: a > a,SV28: a,SV29: a > a,SV16: a > a] :
( ( ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= ( ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 )
= sK4_Xx ) )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= $false ) ),
inference(res,[status(thm)],[187,116]) ).
thf(210,plain,
! [SV26: a,SV27: a > a,SV28: a,SV29: a > a,SV9: a,SV10: a > a,SV11: a] :
( ( ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= ( SV11
= ( SV10 @ SV9 ) ) )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= $false )
| ( ( SV11
= ( SV10 @ ( sK5_Xt @ SV11 @ SV10 ) ) )
= $true )
| ( ( cR @ SV9 )
= $false ) ),
inference(res,[status(thm)],[187,72]) ).
thf(211,plain,
! [SV26: a,SV27: a > a,SV28: a,SV29: a > a,SV9: a,SV10: a > a,SV11: a] :
( ( ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= ( SV11
= ( SV10 @ ( sK5_Xt @ SV11 @ SV10 ) ) ) )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( SV11
= ( SV10 @ SV9 ) )
= $false )
| ( ( cR @ SV9 )
= $false ) ),
inference(res,[status(thm)],[187,72]) ).
thf(214,plain,
! [SV26: a,SV27: a > a,SV28: a,SV29: a > a,SV8: a > a] :
( ( ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= ( ( SV8 @ sK4_Xx )
= ( SV8 @ ( sK5_Xt @ ( SV8 @ sK4_Xx ) @ SV8 ) ) ) )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true ) ),
inference(res,[status(thm)],[187,69]) ).
thf(217,plain,
! [SV26: a,SV27: a > a,SV28: a,SV29: a > a,SV6: a > a,SV7: a] :
( ( ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= ( ( SV6 @ SV7 )
= ( SV6 @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV6 ) ) ) )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( cR @ SV7 )
= $false ) ),
inference(res,[status(thm)],[187,63]) ).
thf(223,plain,
! [SV26: a,SV27: a > a,SV28: a,SV29: a > a] :
( ( ( ( cR @ SV28 )
= ( cR @ sK4_Xx ) )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= $false ) ),
inference(res,[status(thm)],[187,48]) ).
thf(224,plain,
! [SV26: a,SV27: a > a,SV28: a,SV29: a > a] :
( ( ( ( cR @ SV26 )
= ( cR @ sK4_Xx ) )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= $false ) ),
inference(res,[status(thm)],[187,48]) ).
thf(225,plain,
! [SV27: a > a,SV28: a,SV29: a > a] :
( ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ sK4_Xx ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ sK4_Xx ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( cR @ SV28 )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[224:[bind(SV26,$thf( sK4_Xx ))]]) ).
thf(226,plain,
! [SV26: a,SV27: a > a,SV29: a > a] :
( ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV29 @ sK4_Xx )
= ( SV27 @ SV26 ) )
= $false ) ),
inference(extuni,[status(esa)],[223:[bind(SV28,$thf( sK4_Xx ))]]) ).
thf(227,plain,
! [SV26: a,SV27: a > a,SV7: a,SV6: a > a,SV28: a,SV29: a > a] :
( ( ( cR @ SV7 )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV6 @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV6 ) ) )
= $false )
| ( ( ( SV27 @ SV26 )
= ( SV6 @ SV7 ) )
= $false ) ),
inference(extuni,[status(esa)],[217]) ).
thf(228,plain,
! [SV28: a,SV29: a > a,SV7: a,SV6: a > a,SV26: a,SV27: a > a] :
( ( ( cR @ SV7 )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV27 @ SV26 )
= ( SV6 @ ( sK5_Xt @ ( SV6 @ SV7 ) @ SV6 ) ) )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV6 @ SV7 ) )
= $false ) ),
inference(extuni,[status(esa)],[217]) ).
thf(229,plain,
! [SV26: a,SV27: a > a,SV8: a > a,SV28: a,SV29: a > a] :
( ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV8 @ ( sK5_Xt @ ( SV8 @ sK4_Xx ) @ SV8 ) ) )
= $false )
| ( ( ( SV27 @ SV26 )
= ( SV8 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[214]) ).
thf(230,plain,
! [SV28: a,SV29: a > a,SV8: a > a,SV26: a,SV27: a > a] :
( ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV27 @ SV26 )
= ( SV8 @ ( sK5_Xt @ ( SV8 @ sK4_Xx ) @ SV8 ) ) )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV8 @ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[214]) ).
thf(231,plain,
! [SV28: a,SV29: a > a,SV9: a,SV10: a > a,SV26: a,SV27: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV27 @ SV26 )
= ( SV10 @ SV9 ) )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV10 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV10 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[211:[bind(SV11,$thf( SV27 @ SV26 ))]]) ).
thf(232,plain,
! [SV26: a,SV27: a > a,SV9: a,SV10: a > a,SV28: a,SV29: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV10 @ SV9 ) )
= $false )
| ( ( ( SV27 @ SV26 )
= ( SV10 @ ( sK5_Xt @ ( SV29 @ SV28 ) @ SV10 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[211:[bind(SV11,$thf( SV29 @ SV28 ))]]) ).
thf(233,plain,
! [SV9: a,SV10: a > a,SV26: a,SV27: a > a,SV28: a,SV29: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) )
= ( SV10 @ ( sK5_Xt @ ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) @ SV10 ) ) )
= $true )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV10 @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[210:[bind(SV11,$thf( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ))]]) ).
thf(234,plain,
! [SV9: a,SV10: a > a,SV26: a,SV27: a > a,SV28: a,SV29: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV10 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV10 ) ) )
= $true )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= $false )
| ( ( ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) )
= ( SV10 @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[210:[bind(SV11,$thf( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ))]]) ).
thf(235,plain,
! [SV33: a > a > a,SV28: a,SV32: a > a] :
( ( ( cR @ SV28 )
= $false )
| ( ( cR @ ( sK5_Xt @ ( SV32 @ SV28 ) @ ( SV33 @ SV28 ) ) )
= $false )
| ( ( ( sK5_Xt @ ( sK5_Xt @ ( SV32 @ SV28 ) @ ( SV33 @ SV28 ) )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( SV32
@ ( sK5_Xt
@ ( sK5_Xt @ ( sK5_Xt @ ( SV32 @ SV28 ) @ ( SV33 @ SV28 ) )
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV32 @ SX0 ) @ ( SV33 @ SX0 ) ) ) )
= ( SV33
@ ( sK5_Xt
@ ( sK5_Xt @ ( sK5_Xt @ ( SV32 @ SV28 ) @ ( SV33 @ SV28 ) )
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV32 @ SX0 ) @ ( SV33 @ SX0 ) ) )
@ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[201:[bind(SV26,$thf( sK5_Xt @ ( SV32 @ SV28 ) @ ( SV33 @ SV28 ) )),bind(SV27,$thf( ^ [SX0: a] : SX0 )),bind(SV16,$thf( SV33 @ ( sK5_Xt @ ( sK5_Xt @ ( sK5_Xt @ ( SV32 @ SV28 ) @ ( SV33 @ SV28 ) ) @ ^ [SX0: a] : SX0 ) @ ^ [SX0: a] : ( sK5_Xt @ ( SV32 @ SX0 ) @ ( SV33 @ SX0 ) ) ) )),bind(SV29,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV32 @ SX0 ) @ ( SV33 @ SX0 ) ) ))]]) ).
thf(236,plain,
! [SV26: a,SV28: a,SV33: a > a > a,SV32: a > a] :
( ( ( ( sK5_Xt @ ( SV32 @ SV28 ) @ ( SV33 @ SV28 ) )
= sK4_Xx )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV32
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV32 @ SX0 ) @ ( SV33 @ SX0 ) ) ) )
= ( SV33
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV32 @ SX0 ) @ ( SV33 @ SX0 ) ) )
@ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[201:[bind(SV27,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV16,$thf( SV33 @ ( sK5_Xt @ sK4_Xx @ ^ [SX0: a] : ( sK5_Xt @ ( SV32 @ SX0 ) @ ( SV33 @ SX0 ) ) ) )),bind(SV29,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV32 @ SX0 ) @ ( SV33 @ SX0 ) ) ))]]) ).
thf(237,plain,
! [SV16: a > a,SV33: a > a > a,SV32: a > a,SV28: a] :
( ( ( cR @ SV28 )
= $false )
| ( ( cR @ ( sK5_Xt @ ( SV32 @ SV28 ) @ ( SV33 @ SV28 ) ) )
= $false )
| ( ( ( sK5_Xt @ ( sK5_Xt @ ( SV32 @ SV28 ) @ ( SV33 @ SV28 ) )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( sK5_Xt
@ ( SV32
@ ( sK5_Xt
@ ( sK5_Xt @ ( sK5_Xt @ ( SV32 @ SV28 ) @ ( SV33 @ SV28 ) )
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV32 @ SX0 ) @ ( SV33 @ SX0 ) ) ) )
@ ( SV33
@ ( sK5_Xt
@ ( sK5_Xt @ ( sK5_Xt @ ( SV32 @ SV28 ) @ ( SV33 @ SV28 ) )
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV32 @ SX0 ) @ ( SV33 @ SX0 ) ) ) ) )
= ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[201:[bind(SV26,$thf( sK5_Xt @ ( SV32 @ SV28 ) @ ( SV33 @ SV28 ) )),bind(SV27,$thf( ^ [SX0: a] : SX0 )),bind(SV29,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV32 @ SX0 ) @ ( SV33 @ SX0 ) ) ))]]) ).
thf(238,plain,
! [SV16: a > a,SV26: a,SV33: a > a > a,SV28: a,SV32: a > a] :
( ( ( ( sK5_Xt @ ( SV32 @ SV28 ) @ ( SV33 @ SV28 ) )
= sK4_Xx )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( sK5_Xt
@ ( SV32
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV32 @ SX0 ) @ ( SV33 @ SX0 ) ) ) )
@ ( SV33
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV32 @ SX0 ) @ ( SV33 @ SX0 ) ) ) ) )
= ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[201:[bind(SV27,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV29,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV32 @ SX0 ) @ ( SV33 @ SX0 ) ) ))]]) ).
thf(239,plain,
! [SV26: a] :
( ( ( ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false ) ),
inference(extuni,[status(esa)],[201:[bind(SV28,$thf( SV26 )),bind(SV27,$thf( ^ [SX0: a] : SX0 )),bind(SV16,$thf( ^ [SX0: a] : SX0 )),bind(SV29,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(240,plain,
! [SV26: a] :
( ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ SV26 )
= $false ) ),
inference(extuni,[status(esa)],[201:[bind(SV28,$thf( sK4_Xx )),bind(SV27,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV16,$thf( ^ [SX0: a] : SX0 )),bind(SV29,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(241,plain,
! [SV16: a > a,SV26: a] :
( ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[201:[bind(SV28,$thf( SV26 )),bind(SV27,$thf( ^ [SX0: a] : SX0 )),bind(SV29,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(242,plain,
! [SV16: a > a,SV26: a] :
( ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[201:[bind(SV28,$thf( sK4_Xx )),bind(SV27,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV29,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(243,plain,
! [SV45: a > a > a,SV26: a,SV44: a > a] :
( ( ( cR @ ( sK5_Xt @ ( SV44 @ SV26 ) @ ( SV45 @ SV26 ) ) )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt
@ ( SV44
@ ( sK5_Xt @ ( sK5_Xt @ ( SV44 @ SV26 ) @ ( SV45 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) ) )
@ ( SV45
@ ( sK5_Xt @ ( sK5_Xt @ ( SV44 @ SV26 ) @ ( SV45 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) ) ) )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( SV44
@ ( sK5_Xt @ ( sK5_Xt @ ( SV44 @ SV26 ) @ ( SV45 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) ) )
= ( SV45
@ ( sK5_Xt @ ( sK5_Xt @ ( SV44 @ SV26 ) @ ( SV45 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) )
@ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[201:[bind(SV28,$thf( sK5_Xt @ ( SV44 @ SV26 ) @ ( SV45 @ SV26 ) )),bind(SV29,$thf( ^ [SX0: a] : SX0 )),bind(SV16,$thf( SV45 @ ( sK5_Xt @ ( sK5_Xt @ ( SV44 @ SV26 ) @ ( SV45 @ SV26 ) ) @ ^ [SX0: a] : ( sK5_Xt @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) ) )),bind(SV27,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) ))]]) ).
thf(244,plain,
! [SV28: a,SV45: a > a > a,SV26: a,SV44: a > a] :
( ( ( sK4_Xx
= ( sK5_Xt @ ( SV44 @ SV26 ) @ ( SV45 @ SV26 ) ) )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV44
@ ( sK5_Xt @ ( sK5_Xt @ ( SV44 @ SV26 ) @ ( SV45 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) ) )
= ( SV45
@ ( sK5_Xt @ ( sK5_Xt @ ( SV44 @ SV26 ) @ ( SV45 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) )
@ sK4_Xx ) )
= $false ) ),
inference(extuni,[status(esa)],[201:[bind(SV29,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV16,$thf( SV45 @ ( sK5_Xt @ ( sK5_Xt @ ( SV44 @ SV26 ) @ ( SV45 @ SV26 ) ) @ ^ [SX0: a] : ( sK5_Xt @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) ) )),bind(SV27,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) ))]]) ).
thf(245,plain,
! [SV16: a > a,SV45: a > a > a,SV26: a,SV44: a > a] :
( ( ( cR @ ( sK5_Xt @ ( SV44 @ SV26 ) @ ( SV45 @ SV26 ) ) )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt
@ ( SV44
@ ( sK5_Xt @ ( sK5_Xt @ ( SV44 @ SV26 ) @ ( SV45 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) ) )
@ ( SV45
@ ( sK5_Xt @ ( sK5_Xt @ ( SV44 @ SV26 ) @ ( SV45 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) ) ) )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( sK5_Xt
@ ( SV44
@ ( sK5_Xt @ ( sK5_Xt @ ( SV44 @ SV26 ) @ ( SV45 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) ) )
@ ( SV45
@ ( sK5_Xt @ ( sK5_Xt @ ( SV44 @ SV26 ) @ ( SV45 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) ) ) )
= ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[201:[bind(SV28,$thf( sK5_Xt @ ( SV44 @ SV26 ) @ ( SV45 @ SV26 ) )),bind(SV29,$thf( ^ [SX0: a] : SX0 )),bind(SV27,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) ))]]) ).
thf(246,plain,
! [SV16: a > a,SV28: a,SV45: a > a > a,SV26: a,SV44: a > a] :
( ( ( sK4_Xx
= ( sK5_Xt @ ( SV44 @ SV26 ) @ ( SV45 @ SV26 ) ) )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( sK5_Xt
@ ( SV44
@ ( sK5_Xt @ ( sK5_Xt @ ( SV44 @ SV26 ) @ ( SV45 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) ) )
@ ( SV45
@ ( sK5_Xt @ ( sK5_Xt @ ( SV44 @ SV26 ) @ ( SV45 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) ) ) )
= ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[201:[bind(SV29,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV27,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) ))]]) ).
thf(247,plain,
( ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ sK4_Xx )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false ) ),
inference(extuni,[status(esa)],[201:[bind(SV28,$thf( sK4_Xx )),bind(SV29,$thf( ^ [SX0: a] : SX0 )),bind(SV16,$thf( ^ [SX0: a] : SX0 )),bind(SV26,$thf( sK4_Xx )),bind(SV27,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(248,plain,
! [SV28: a] :
( ( ( cR @ SV28 )
= $false )
| ( ( cR @ sK4_Xx )
= $false ) ),
inference(extuni,[status(esa)],[201:[bind(SV29,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV16,$thf( ^ [SX0: a] : SX0 )),bind(SV26,$thf( sK4_Xx )),bind(SV27,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(249,plain,
! [SV16: a > a,SV26: a] :
( ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[201:[bind(SV28,$thf( SV26 )),bind(SV29,$thf( ^ [SX0: a] : SX0 )),bind(SV27,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(250,plain,
! [SV16: a > a,SV28: a] :
( ( ( cR @ SV28 )
= $false )
| ( ( cR @ sK4_Xx )
= $false )
| ( ( ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[201:[bind(SV26,$thf( sK4_Xx )),bind(SV29,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV27,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(251,plain,
! [SV17: a,SV18: a > a,SV26: a,SV27: a > a,SV28: a,SV29: a > a] :
( ( ( cR @ SV17 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) @ SV18 ) )
= $true )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV18 @ SV17 ) )
= $false ) ),
inference(extuni,[status(esa)],[197:[bind(SV19,$thf( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ))]]) ).
thf(252,plain,
! [SV17: a,SV18: a > a,SV26: a,SV27: a > a,SV28: a,SV29: a > a] :
( ( ( cR @ SV17 )
= $false )
| ( ( cS @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV18 ) )
= $true )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= $false )
| ( ( ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) )
= ( SV18 @ SV17 ) )
= $false ) ),
inference(extuni,[status(esa)],[197:[bind(SV19,$thf( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ))]]) ).
thf(253,plain,
! [SV24: a,SV57: a > a > a,SV28: a,SV56: a > a] :
( ( ( cR @ SV24 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ ( sK5_Xt @ ( SV56 @ SV28 ) @ ( SV57 @ SV28 ) ) )
= $false )
| ( ( ( sK5_Xt @ ( sK5_Xt @ ( SV56 @ SV28 ) @ ( SV57 @ SV28 ) )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( SV56
@ ( sK5_Xt
@ ( sK5_Xt @ ( sK5_Xt @ ( SV56 @ SV28 ) @ ( SV57 @ SV28 ) )
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) ) )
= ( SV57
@ ( sK5_Xt
@ ( sK5_Xt @ ( sK5_Xt @ ( SV56 @ SV28 ) @ ( SV57 @ SV28 ) )
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) )
@ SV24 ) )
= $false ) ),
inference(extuni,[status(esa)],[194:[bind(SV26,$thf( sK5_Xt @ ( SV56 @ SV28 ) @ ( SV57 @ SV28 ) )),bind(SV27,$thf( ^ [SX0: a] : SX0 )),bind(SV23,$thf( SV57 @ ( sK5_Xt @ ( sK5_Xt @ ( sK5_Xt @ ( SV56 @ SV28 ) @ ( SV57 @ SV28 ) ) @ ^ [SX0: a] : SX0 ) @ ^ [SX0: a] : ( sK5_Xt @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) ) )),bind(SV29,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) ))]]) ).
thf(254,plain,
! [SV26: a,SV28: a,SV24: a,SV57: a > a > a,SV56: a > a] :
( ( ( cR @ SV24 )
= $false )
| ( ( ( sK5_Xt @ ( SV56 @ SV28 ) @ ( SV57 @ SV28 ) )
= sK4_Xx )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV56
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) ) )
= ( SV57
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) )
@ SV24 ) )
= $false ) ),
inference(extuni,[status(esa)],[194:[bind(SV27,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV23,$thf( SV57 @ ( sK5_Xt @ sK4_Xx @ ^ [SX0: a] : ( sK5_Xt @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) ) )),bind(SV29,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) ))]]) ).
thf(255,plain,
! [SV23: a > a,SV57: a > a > a,SV56: a > a,SV28: a,SV24: a] :
( ( ( cR @ SV24 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ ( sK5_Xt @ ( SV56 @ SV28 ) @ ( SV57 @ SV28 ) ) )
= $false )
| ( ( ( sK5_Xt @ ( sK5_Xt @ ( SV56 @ SV28 ) @ ( SV57 @ SV28 ) )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( sK5_Xt
@ ( SV56
@ ( sK5_Xt
@ ( sK5_Xt @ ( sK5_Xt @ ( SV56 @ SV28 ) @ ( SV57 @ SV28 ) )
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) ) )
@ ( SV57
@ ( sK5_Xt
@ ( sK5_Xt @ ( sK5_Xt @ ( SV56 @ SV28 ) @ ( SV57 @ SV28 ) )
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) ) ) )
= ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 ) )
= $false ) ),
inference(extuni,[status(esa)],[194:[bind(SV26,$thf( sK5_Xt @ ( SV56 @ SV28 ) @ ( SV57 @ SV28 ) )),bind(SV27,$thf( ^ [SX0: a] : SX0 )),bind(SV29,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) ))]]) ).
thf(256,plain,
! [SV23: a > a,SV26: a,SV57: a > a > a,SV28: a,SV56: a > a,SV24: a] :
( ( ( cR @ SV24 )
= $false )
| ( ( ( sK5_Xt @ ( SV56 @ SV28 ) @ ( SV57 @ SV28 ) )
= sK4_Xx )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( sK5_Xt
@ ( SV56
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) ) )
@ ( SV57
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : ( sK5_Xt @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) ) ) )
= ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 ) )
= $false ) ),
inference(extuni,[status(esa)],[194:[bind(SV27,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV29,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) ))]]) ).
thf(257,plain,
! [SV26: a] :
( ( ( cR
@ ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 ) )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false ) ),
inference(extuni,[status(esa)],[194:[bind(SV24,$thf( sK5_Xt @ SV26 @ ^ [SX0: a] : SX0 )),bind(SV28,$thf( SV26 )),bind(SV27,$thf( ^ [SX0: a] : SX0 )),bind(SV23,$thf( ^ [SX0: a] : SX0 )),bind(SV29,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(258,plain,
! [SV26: a] :
( ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ SV26 )
= $false ) ),
inference(extuni,[status(esa)],[194:[bind(SV24,$thf( sK4_Xx )),bind(SV28,$thf( sK4_Xx )),bind(SV27,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV23,$thf( ^ [SX0: a] : SX0 )),bind(SV29,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(259,plain,
! [SV23: a > a,SV26: a,SV24: a] :
( ( ( cR @ SV24 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 ) )
= $false ) ),
inference(extuni,[status(esa)],[194:[bind(SV28,$thf( SV26 )),bind(SV27,$thf( ^ [SX0: a] : SX0 )),bind(SV29,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(260,plain,
! [SV23: a > a,SV26: a,SV24: a] :
( ( ( cR @ SV24 )
= $false )
| ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 ) )
= $false ) ),
inference(extuni,[status(esa)],[194:[bind(SV28,$thf( sK4_Xx )),bind(SV27,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV29,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(261,plain,
! [SV24: a,SV69: a > a > a,SV26: a,SV68: a > a] :
( ( ( cR @ SV24 )
= $false )
| ( ( cR @ ( sK5_Xt @ ( SV68 @ SV26 ) @ ( SV69 @ SV26 ) ) )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt
@ ( SV68
@ ( sK5_Xt @ ( sK5_Xt @ ( SV68 @ SV26 ) @ ( SV69 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) ) )
@ ( SV69
@ ( sK5_Xt @ ( sK5_Xt @ ( SV68 @ SV26 ) @ ( SV69 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) ) ) )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( SV68
@ ( sK5_Xt @ ( sK5_Xt @ ( SV68 @ SV26 ) @ ( SV69 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) ) )
= ( SV69
@ ( sK5_Xt @ ( sK5_Xt @ ( SV68 @ SV26 ) @ ( SV69 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) )
@ SV24 ) )
= $false ) ),
inference(extuni,[status(esa)],[194:[bind(SV28,$thf( sK5_Xt @ ( SV68 @ SV26 ) @ ( SV69 @ SV26 ) )),bind(SV29,$thf( ^ [SX0: a] : SX0 )),bind(SV23,$thf( SV69 @ ( sK5_Xt @ ( sK5_Xt @ ( SV68 @ SV26 ) @ ( SV69 @ SV26 ) ) @ ^ [SX0: a] : ( sK5_Xt @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) ) )),bind(SV27,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) ))]]) ).
thf(262,plain,
! [SV28: a,SV24: a,SV69: a > a > a,SV26: a,SV68: a > a] :
( ( ( cR @ SV24 )
= $false )
| ( ( sK4_Xx
= ( sK5_Xt @ ( SV68 @ SV26 ) @ ( SV69 @ SV26 ) ) )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV68
@ ( sK5_Xt @ ( sK5_Xt @ ( SV68 @ SV26 ) @ ( SV69 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) ) )
= ( SV69
@ ( sK5_Xt @ ( sK5_Xt @ ( SV68 @ SV26 ) @ ( SV69 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) )
@ SV24 ) )
= $false ) ),
inference(extuni,[status(esa)],[194:[bind(SV29,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV23,$thf( SV69 @ ( sK5_Xt @ ( sK5_Xt @ ( SV68 @ SV26 ) @ ( SV69 @ SV26 ) ) @ ^ [SX0: a] : ( sK5_Xt @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) ) )),bind(SV27,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) ))]]) ).
thf(263,plain,
! [SV23: a > a,SV69: a > a > a,SV26: a,SV68: a > a,SV24: a] :
( ( ( cR @ SV24 )
= $false )
| ( ( cR @ ( sK5_Xt @ ( SV68 @ SV26 ) @ ( SV69 @ SV26 ) ) )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt
@ ( SV68
@ ( sK5_Xt @ ( sK5_Xt @ ( SV68 @ SV26 ) @ ( SV69 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) ) )
@ ( SV69
@ ( sK5_Xt @ ( sK5_Xt @ ( SV68 @ SV26 ) @ ( SV69 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) ) ) )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( sK5_Xt
@ ( SV68
@ ( sK5_Xt @ ( sK5_Xt @ ( SV68 @ SV26 ) @ ( SV69 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) ) )
@ ( SV69
@ ( sK5_Xt @ ( sK5_Xt @ ( SV68 @ SV26 ) @ ( SV69 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) ) ) )
= ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 ) )
= $false ) ),
inference(extuni,[status(esa)],[194:[bind(SV28,$thf( sK5_Xt @ ( SV68 @ SV26 ) @ ( SV69 @ SV26 ) )),bind(SV29,$thf( ^ [SX0: a] : SX0 )),bind(SV27,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) ))]]) ).
thf(264,plain,
! [SV23: a > a,SV28: a,SV69: a > a > a,SV26: a,SV68: a > a,SV24: a] :
( ( ( cR @ SV24 )
= $false )
| ( ( sK4_Xx
= ( sK5_Xt @ ( SV68 @ SV26 ) @ ( SV69 @ SV26 ) ) )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( sK5_Xt
@ ( SV68
@ ( sK5_Xt @ ( sK5_Xt @ ( SV68 @ SV26 ) @ ( SV69 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) ) )
@ ( SV69
@ ( sK5_Xt @ ( sK5_Xt @ ( SV68 @ SV26 ) @ ( SV69 @ SV26 ) )
@ ^ [SX0: a] : ( sK5_Xt @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) ) ) )
= ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 ) )
= $false ) ),
inference(extuni,[status(esa)],[194:[bind(SV29,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV27,$thf( ^ [SX0: a] : ( sK5_Xt @ ( SV68 @ SX0 ) @ ( SV69 @ SX0 ) ) ))]]) ).
thf(265,plain,
! [SV24: a] :
( ( ( cR @ SV24 )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( cR @ SV24 )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt @ SV24
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false ) ),
inference(extuni,[status(esa)],[194:[bind(SV28,$thf( SV24 )),bind(SV29,$thf( ^ [SX0: a] : SX0 )),bind(SV23,$thf( ^ [SX0: a] : SX0 )),bind(SV26,$thf( SV24 )),bind(SV27,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(266,plain,
! [SV28: a] :
( ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ sK4_Xx )
= $false ) ),
inference(extuni,[status(esa)],[194:[bind(SV24,$thf( sK4_Xx )),bind(SV29,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV23,$thf( ^ [SX0: a] : SX0 )),bind(SV26,$thf( sK4_Xx )),bind(SV27,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(267,plain,
! [SV23: a > a,SV26: a,SV24: a] :
( ( ( cR @ SV24 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 ) )
= $false ) ),
inference(extuni,[status(esa)],[194:[bind(SV28,$thf( SV26 )),bind(SV29,$thf( ^ [SX0: a] : SX0 )),bind(SV27,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(268,plain,
! [SV23: a > a,SV28: a,SV24: a] :
( ( ( cR @ SV24 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ sK4_Xx )
= $false )
| ( ( ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 ) )
= $false ) ),
inference(extuni,[status(esa)],[194:[bind(SV26,$thf( sK4_Xx )),bind(SV29,$thf( ^ [SX0: a] : sK4_Xx )),bind(SV27,$thf( ^ [SX0: a] : SX0 ))]]) ).
thf(269,plain,
! [SV26: a,SV27: a > a,SV28: a,SV29: a > a] :
( ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $false )
| ( ( ( SV27 @ SV26 )
= ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[189]) ).
thf(270,plain,
! [SV26: a,SV27: a > a,SV28: a,SV29: a > a] :
( ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= $false )
| ( ( ( SV27 @ SV26 )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[189]) ).
thf(271,plain,
! [SV26: a,SV27: a > a,SV28: a,SV29: a > a] :
( ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV27 @ SV26 ) )
= $false )
| ( ( ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) )
= ( SV29 @ SV28 ) )
= $false ) ),
inference(extuni,[status(esa)],[188]) ).
thf(272,plain,
! [SV26: a,SV27: a > a,SV28: a,SV29: a > a] :
( ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= $false )
| ( ( ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) )
= ( SV27 @ SV26 ) )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ SV28 ) )
= $false ) ),
inference(extuni,[status(esa)],[188]) ).
thf(273,plain,
! [SV16: a > a,SV26: a] :
( ( ( cR @ SV26 )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) )
= $false ) ),
inference(sim,[status(thm)],[249]) ).
thf(274,plain,
( ( ( cR @ sK4_Xx )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt @ sK4_Xx
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false ) ),
inference(sim,[status(thm)],[247]) ).
thf(275,plain,
! [SV16: a > a,SV26: a] :
( ( ( cR @ SV26 )
= $false )
| ( ( ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV16 @ sK4_Xx ) @ SV16 ) )
= $false ) ),
inference(sim,[status(thm)],[241]) ).
thf(276,plain,
! [SV26: a] :
( ( ( ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( cR @ SV26 )
= $false ) ),
inference(sim,[status(thm)],[239]) ).
thf(277,plain,
! [SV23: a > a,SV26: a,SV24: a] :
( ( ( cR @ SV24 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 ) )
= $false ) ),
inference(sim,[status(thm)],[267]) ).
thf(278,plain,
! [SV28: a] :
( ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ SV28 )
= $false ) ),
inference(sim,[status(thm)],[266]) ).
thf(279,plain,
! [SV24: a] :
( ( ( cR @ SV24 )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt @ SV24
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false ) ),
inference(sim,[status(thm)],[265]) ).
thf(280,plain,
! [SV23: a > a,SV26: a,SV24: a] :
( ( ( cR @ SV24 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false )
| ( ( ( sK5_Xt
@ ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 )
@ ^ [SX0: a] : SX0 )
= ( sK5_Xt @ ( SV23 @ SV24 ) @ SV23 ) )
= $false ) ),
inference(sim,[status(thm)],[259]) ).
thf(281,plain,
! [SV26: a] :
( ( ( cR @ sK4_Xx )
= $false )
| ( ( cR @ SV26 )
= $false ) ),
inference(sim,[status(thm)],[258]) ).
thf(282,plain,
! [SV26: a] :
( ( ( cR
@ ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 ) )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( sK5_Xt @ SV26
@ ^ [SX0: a] : SX0 )
= sK4_Xx )
= $false ) ),
inference(sim,[status(thm)],[257]) ).
thf(283,plain,
! [SV26: a,SV27: a > a,SV28: a,SV29: a > a] :
( ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= $false )
| ( ( ( SV27 @ SV26 )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) )
= $false ) ),
inference(sim,[status(thm)],[270]) ).
thf(284,plain,
! [SV26: a,SV27: a > a,SV28: a,SV29: a > a] :
( ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $false )
| ( ( ( SV27 @ SV26 )
= ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) )
= $false ) ),
inference(sim,[status(thm)],[269]) ).
thf(285,plain,
! [SV26: a,SV27: a > a,SV28: a,SV29: a > a] :
( ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= $false )
| ( ( ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) )
= ( SV27 @ SV26 ) )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ SV28 ) )
= $false ) ),
inference(sim,[status(thm)],[272]) ).
thf(286,plain,
! [SV26: a,SV27: a > a,SV28: a,SV29: a > a] :
( ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) ) )
= $true )
| ( ( cR @ SV28 )
= $false )
| ( ( cR @ SV26 )
= $false )
| ( ( ( SV29 @ SV28 )
= ( SV27 @ SV26 ) )
= $false )
| ( ( ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) )
= ( SV27 @ SV26 ) )
= $false )
| ( ( ( SV29 @ ( sK5_Xt @ ( SV27 @ ( sK5_Xt @ ( SV27 @ SV26 ) @ SV27 ) ) @ SV29 ) )
= ( SV29 @ SV28 ) )
= $false ) ),
inference(sim,[status(thm)],[271]) ).
thf(287,plain,
! [SV78: a > a,SV79: a > a] :
( ( ( ( sK5_Xt @ ( SV79 @ sK4_Xx ) @ SV79 )
= ( SV78 @ ( sK5_Xt @ ( SV78 @ sK4_Xx ) @ SV78 ) ) )
= $false )
| ( ( sK4_Xx
= ( SV78 @ sK4_Xx ) )
= $false ) ),
inference(rename,[status(thm)],[125]) ).
thf(296,plain,
! [SV78: a > a,SV79: a > a,SV9: a,SV10: a > a,SV11: a] :
( ( ( ( sK4_Xx
= ( SV78 @ sK4_Xx ) )
= ( SV11
= ( SV10 @ ( sK5_Xt @ SV11 @ SV10 ) ) ) )
= $false )
| ( ( ( sK5_Xt @ ( SV79 @ sK4_Xx ) @ SV79 )
= ( SV78 @ ( sK5_Xt @ ( SV78 @ sK4_Xx ) @ SV78 ) ) )
= $false )
| ( ( SV11
= ( SV10 @ SV9 ) )
= $false )
| ( ( cR @ SV9 )
= $false ) ),
inference(res,[status(thm)],[287,72]) ).
thf(297,plain,
! [SV78: a > a,SV79: a > a,SV9: a,SV10: a > a,SV11: a] :
( ( ( ( ( sK5_Xt @ ( SV79 @ sK4_Xx ) @ SV79 )
= ( SV78 @ ( sK5_Xt @ ( SV78 @ sK4_Xx ) @ SV78 ) ) )
= ( SV11
= ( SV10 @ ( sK5_Xt @ SV11 @ SV10 ) ) ) )
= $false )
| ( ( sK4_Xx
= ( SV78 @ sK4_Xx ) )
= $false )
| ( ( SV11
= ( SV10 @ SV9 ) )
= $false )
| ( ( cR @ SV9 )
= $false ) ),
inference(res,[status(thm)],[287,72]) ).
thf(305,plain,
! [SV79: a > a,SV9: a,SV10: a > a,SV78: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( sK4_Xx
= ( SV78 @ sK4_Xx ) )
= $false )
| ( ( ( sK5_Xt @ ( SV79 @ sK4_Xx ) @ SV79 )
= ( SV10 @ ( sK5_Xt @ ( SV78 @ ( sK5_Xt @ ( SV78 @ sK4_Xx ) @ SV78 ) ) @ SV10 ) ) )
= $false )
| ( ( ( SV78 @ ( sK5_Xt @ ( SV78 @ sK4_Xx ) @ SV78 ) )
= ( SV10 @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[297:[bind(SV11,$thf( SV78 @ ( sK5_Xt @ ( SV78 @ sK4_Xx ) @ SV78 ) ))]]) ).
thf(306,plain,
! [SV9: a,SV79: a > a,SV10: a > a,SV78: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( ( sK5_Xt @ ( SV79 @ sK4_Xx ) @ SV79 )
= ( SV10 @ SV9 ) )
= $false )
| ( ( sK4_Xx
= ( SV78 @ sK4_Xx ) )
= $false )
| ( ( ( SV78 @ ( sK5_Xt @ ( SV78 @ sK4_Xx ) @ SV78 ) )
= ( SV10 @ ( sK5_Xt @ ( sK5_Xt @ ( SV79 @ sK4_Xx ) @ SV79 ) @ SV10 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[297:[bind(SV11,$thf( sK5_Xt @ ( SV79 @ sK4_Xx ) @ SV79 ))]]) ).
thf(307,plain,
! [SV79: a > a,SV9: a,SV10: a > a,SV78: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( ( sK5_Xt @ ( SV79 @ sK4_Xx ) @ SV79 )
= ( SV78 @ ( sK5_Xt @ ( SV78 @ sK4_Xx ) @ SV78 ) ) )
= $false )
| ( ( sK4_Xx
= ( SV10 @ ( sK5_Xt @ ( SV78 @ sK4_Xx ) @ SV10 ) ) )
= $false )
| ( ( ( SV78 @ sK4_Xx )
= ( SV10 @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[296:[bind(SV11,$thf( SV78 @ sK4_Xx ))]]) ).
thf(308,plain,
! [SV79: a > a,SV9: a,SV10: a > a,SV78: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( sK4_Xx
= ( SV10 @ SV9 ) )
= $false )
| ( ( ( sK5_Xt @ ( SV79 @ sK4_Xx ) @ SV79 )
= ( SV78 @ ( sK5_Xt @ ( SV78 @ sK4_Xx ) @ SV78 ) ) )
= $false )
| ( ( ( SV78 @ sK4_Xx )
= ( SV10 @ ( sK5_Xt @ sK4_Xx @ SV10 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[296:[bind(SV11,$thf( sK4_Xx ))]]) ).
thf(309,plain,
! [SV80: a > a,SV81: a > a] :
( ( ( sK4_Xx
= ( SV81 @ ( sK5_Xt @ ( SV81 @ sK4_Xx ) @ SV81 ) ) )
= $false )
| ( ( ( sK5_Xt @ ( SV80 @ sK4_Xx ) @ SV80 )
= ( SV81 @ sK4_Xx ) )
= $false ) ),
inference(rename,[status(thm)],[126]) ).
thf(318,plain,
! [SV80: a > a,SV81: a > a,SV9: a,SV10: a > a,SV11: a] :
( ( ( ( ( sK5_Xt @ ( SV80 @ sK4_Xx ) @ SV80 )
= ( SV81 @ sK4_Xx ) )
= ( SV11
= ( SV10 @ ( sK5_Xt @ SV11 @ SV10 ) ) ) )
= $false )
| ( ( sK4_Xx
= ( SV81 @ ( sK5_Xt @ ( SV81 @ sK4_Xx ) @ SV81 ) ) )
= $false )
| ( ( SV11
= ( SV10 @ SV9 ) )
= $false )
| ( ( cR @ SV9 )
= $false ) ),
inference(res,[status(thm)],[309,72]) ).
thf(319,plain,
! [SV80: a > a,SV81: a > a,SV9: a,SV10: a > a,SV11: a] :
( ( ( ( sK4_Xx
= ( SV81 @ ( sK5_Xt @ ( SV81 @ sK4_Xx ) @ SV81 ) ) )
= ( SV11
= ( SV10 @ ( sK5_Xt @ SV11 @ SV10 ) ) ) )
= $false )
| ( ( ( sK5_Xt @ ( SV80 @ sK4_Xx ) @ SV80 )
= ( SV81 @ sK4_Xx ) )
= $false )
| ( ( SV11
= ( SV10 @ SV9 ) )
= $false )
| ( ( cR @ SV9 )
= $false ) ),
inference(res,[status(thm)],[309,72]) ).
thf(327,plain,
! [SV80: a > a,SV9: a,SV10: a > a,SV81: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( ( sK5_Xt @ ( SV80 @ sK4_Xx ) @ SV80 )
= ( SV81 @ sK4_Xx ) )
= $false )
| ( ( sK4_Xx
= ( SV10 @ ( sK5_Xt @ ( SV81 @ ( sK5_Xt @ ( SV81 @ sK4_Xx ) @ SV81 ) ) @ SV10 ) ) )
= $false )
| ( ( ( SV81 @ ( sK5_Xt @ ( SV81 @ sK4_Xx ) @ SV81 ) )
= ( SV10 @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[319:[bind(SV11,$thf( SV81 @ ( sK5_Xt @ ( SV81 @ sK4_Xx ) @ SV81 ) ))]]) ).
thf(328,plain,
! [SV80: a > a,SV9: a,SV10: a > a,SV81: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( sK4_Xx
= ( SV10 @ SV9 ) )
= $false )
| ( ( ( sK5_Xt @ ( SV80 @ sK4_Xx ) @ SV80 )
= ( SV81 @ sK4_Xx ) )
= $false )
| ( ( ( SV81 @ ( sK5_Xt @ ( SV81 @ sK4_Xx ) @ SV81 ) )
= ( SV10 @ ( sK5_Xt @ sK4_Xx @ SV10 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[319:[bind(SV11,$thf( sK4_Xx ))]]) ).
thf(329,plain,
! [SV80: a > a,SV9: a,SV10: a > a,SV81: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( sK4_Xx
= ( SV81 @ ( sK5_Xt @ ( SV81 @ sK4_Xx ) @ SV81 ) ) )
= $false )
| ( ( ( sK5_Xt @ ( SV80 @ sK4_Xx ) @ SV80 )
= ( SV10 @ ( sK5_Xt @ ( SV81 @ sK4_Xx ) @ SV10 ) ) )
= $false )
| ( ( ( SV81 @ sK4_Xx )
= ( SV10 @ SV9 ) )
= $false ) ),
inference(extuni,[status(esa)],[318:[bind(SV11,$thf( SV81 @ sK4_Xx ))]]) ).
thf(330,plain,
! [SV9: a,SV80: a > a,SV10: a > a,SV81: a > a] :
( ( ( cR @ SV9 )
= $false )
| ( ( ( sK5_Xt @ ( SV80 @ sK4_Xx ) @ SV80 )
= ( SV10 @ SV9 ) )
= $false )
| ( ( sK4_Xx
= ( SV81 @ ( sK5_Xt @ ( SV81 @ sK4_Xx ) @ SV81 ) ) )
= $false )
| ( ( ( SV81 @ sK4_Xx )
= ( SV10 @ ( sK5_Xt @ ( sK5_Xt @ ( SV80 @ sK4_Xx ) @ SV80 ) @ SV10 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[318:[bind(SV11,$thf( sK5_Xt @ ( SV80 @ sK4_Xx ) @ SV80 ))]]) ).
thf(333,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[48,330,329,328,327,309,308,307,306,305,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,268,264,263,262,261,260,256,255,254,253,252,251,250,248,246,245,244,243,242,240,238,237,236,235,234,233,232,231,230,229,228,227,226,225,187,185,184,183,182,181,180,163,159,158,157,156,155,154,129,128,127,124,123,116,109,96,94,89,88,87,72,69,63,51]) ).
thf(334,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[333,34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU897^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.13 % Computer : n012.cluster.edu
% 0.08/0.13 % Model : x86_64 x86_64
% 0.08/0.13 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.13 % Memory : 8046.5625MB
% 0.08/0.13 % OS : Linux 6.8.0-71-generic
% 0.08/0.13 % CPULimit : 300
% 0.08/0.13 % WCLimit : 300
% 0.08/0.13 % DateTime : Tue Oct 6 15:37:16 UTC 2026
% 0.08/0.13 % CPUTime :
% 0.08/0.13 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 181.32/30.41
% 181.32/30.41 No.of.Axioms: 0
% 181.32/30.41
% 181.32/30.41 Length.of.Defs: 0
% 181.32/30.41
% 181.32/30.41 Contains.Choice.Funs: false
% 181.32/30.41 ...eprover: CPU time limit exceeded, terminating
% 181.32/30.41 .eprover: CPU time limit exceeded, terminating
% 181.32/30.41 ...
% 181.32/30.41
% 181.32/30.41 ********************************
% 181.32/30.41 * All subproblems solved! *
% 181.32/30.41 ********************************
% 181.32/30.41 % SZS status Theorem for /export/starexec/sandbox2/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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:333,loop_count:20,foatp_calls:6,translation:fof_full)
% 181.32/30.41
% 181.32/30.41 %**** Beginning of derivation protocol ****
% 181.32/30.41 % SZS output start CNFRefutation
% See solution above
% 181.32/30.41
% 181.32/30.41 %**** End of derivation protocol ****
% 181.32/30.41 %**** no. of clauses in derivation: 203 ****
% 181.32/30.41 %**** clause counter: 333 ****
% 181.32/30.41
% 181.32/30.41 % SZS status Theorem for /export/starexec/sandbox2/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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:333,loop_count:20,foatp_calls:6,translation:fof_full)
%------------------------------------------------------------------------------