TSTP Solution File: SEU508^2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU508^2 : TPTP v8.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n016.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 12:12:26 EDT 2022
% Result : Theorem 44.50s 45.21s
% Output : CNFRefutation 45.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 50
% Syntax : Number of formulae : 510 ( 56 unt; 47 typ; 2 def)
% Number of atoms : 4689 (1964 equ; 0 cnn)
% Maximal formula atoms : 6 ( 10 avg)
% Number of connectives : 9544 ( 545 ~;1121 |; 4 &;7849 @)
% ( 5 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 989 ( 989 >; 0 *; 0 +; 0 <<)
% Number of symbols : 50 ( 47 usr; 21 con; 0-6 aty)
% Number of variables : 2423 ( 907 ^1516 !; 0 ?;2423 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_dsetconstr,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(tp_dsetconstrER,type,
dsetconstrER: $o ).
thf(tp_dsetconstrI,type,
dsetconstrI: $o ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_sK10_E,type,
sK10_E: $i ).
thf(tp_sK11_E,type,
sK11_E: $i ).
thf(tp_sK12_E,type,
sK12_E: $i > $i > ( $i > $o ) > $i ).
thf(tp_sK13_E,type,
sK13_E: $i ).
thf(tp_sK14_E,type,
sK14_E: $i ).
thf(tp_sK15_E,type,
sK15_E: $i ).
thf(tp_sK16_E,type,
sK16_E: $i ).
thf(tp_sK17_E,type,
sK17_E: $i ).
thf(tp_sK18_E,type,
sK18_E: $i ).
thf(tp_sK19_E,type,
sK19_E: $i > $i > ( $i > $o ) > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK20_E,type,
sK20_E: $i ).
thf(tp_sK21_E,type,
sK21_E: $i ).
thf(tp_sK22_E,type,
sK22_E: $i ).
thf(tp_sK23_E,type,
sK23_E: $i ).
thf(tp_sK24_E,type,
sK24_E: $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK25_E,type,
sK25_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK26_E,type,
sK26_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK27_E,type,
sK27_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK28_E,type,
sK28_E: ( $i > $o ) > $i ).
thf(tp_sK29_E,type,
sK29_E: ( $i > $i ) > ( $i > $i ) > $i > ( $i > $o ) > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK2_SY16,type,
sK2_SY16: $i > $o ).
thf(tp_sK30_E,type,
sK30_E: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK31_E,type,
sK31_E: $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK32_E,type,
sK32_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK33_E,type,
sK33_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK34_E,type,
sK34_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK35_E,type,
sK35_E: ( $i > $o ) > $i ).
thf(tp_sK36_E,type,
sK36_E: ( $i > $i ) > ( $i > $i ) > $i > ( $i > $o ) > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK37_E,type,
sK37_E: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK38_E,type,
sK38_E: ( $i > $i ) > ( $i > $i ) > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK39_E,type,
sK39_E: $i > $i > ( $i > $o ) > $i ).
thf(tp_sK3_SY20,type,
sK3_SY20: $i ).
thf(tp_sK40_E,type,
sK40_E: ( $i > $i ) > ( $i > $i ) > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK41_E,type,
sK41_E: $i > $i > ( $i > $o ) > $i ).
thf(tp_sK42_E,type,
sK42_E: ( $i > $i ) > ( $i > $i ) > $i > ( $i > $o ) > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK43_E,type,
sK43_E: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK4_E,type,
sK4_E: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK5_E,type,
sK5_E: ( $i > $o ) > $i ).
thf(tp_sK6_E,type,
sK6_E: $i ).
thf(tp_sK7_E,type,
sK7_E: ( $i > $o ) > $i ).
thf(tp_sK8_E,type,
sK8_E: $i ).
thf(tp_sK9_E,type,
sK9_E: $i ).
thf(dsetconstrER,definition,
( dsetconstrER
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrER) ).
thf(dsetconstrI,definition,
( dsetconstrI
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrI) ).
thf(1,conjecture,
( dsetconstrI
=> ( dsetconstrER
=> ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
<=> ( Xphi @ Xx ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setbeta) ).
thf(2,negated_conjecture,
( ( dsetconstrI
=> ( dsetconstrER
=> ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
<=> ( Xphi @ Xx ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) )
=> ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) )
=> ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
<=> ( Xphi @ Xx ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,dsetconstrER,dsetconstrI]) ).
thf(4,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
<=> ( Xphi @ Xx ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ~ ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
<=> ( Xphi @ Xx ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( ( in @ sK3_SY20 @ sK1_A )
& ( ~ ( sK2_SY16 @ sK3_SY20 )
| ~ ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SY21: $i] : ( sK2_SY16 @ SY21 ) ) ) )
& ( ( sK2_SY16 @ sK3_SY20 )
| ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SY22: $i] : ( sK2_SY16 @ SY22 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(9,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx @ A )
| ~ ( Xphi @ Xx )
| ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(10,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
| ( Xphi @ Xx ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(11,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
| ( Xphi @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(12,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx @ A )
| ~ ( Xphi @ Xx )
| ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(13,plain,
( ( ( in @ sK3_SY20 @ sK1_A )
& ( ~ ( sK2_SY16 @ sK3_SY20 )
| ~ ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SY21: $i] : ( sK2_SY16 @ SY21 ) ) ) )
& ( ( sK2_SY16 @ sK3_SY20 )
| ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SY22: $i] : ( sK2_SY16 @ SY22 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(14,plain,
( ( ~ ( ~ ( in @ sK3_SY20 @ sK1_A )
| ~ ~ ( ~ ( ~ ( sK2_SY16 @ sK3_SY20 )
| ~ ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) )
| ~ ( ( sK2_SY16 @ sK3_SY20 )
| ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,dsetconstrER,dsetconstrI]) ).
thf(15,plain,
! [SV1: $i] :
( ( ! [SY25: $i > $o,SY26: $i] :
( ~ ( in @ SY26
@ ( dsetconstr @ SV1
@ ^ [Xy: $i] : ( SY25 @ Xy ) ) )
| ( SY25 @ SY26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(16,plain,
! [SV2: $i] :
( ( ! [SY28: $i > $o,SY29: $i] :
( ~ ( in @ SY29 @ SV2 )
| ~ ( SY28 @ SY29 )
| ( in @ SY29
@ ( dsetconstr @ SV2
@ ^ [Xy: $i] : ( SY28 @ Xy ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(17,plain,
( ( ~ ( in @ sK3_SY20 @ sK1_A )
| ~ ~ ( ~ ( ~ ( sK2_SY16 @ sK3_SY20 )
| ~ ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) )
| ~ ( ( sK2_SY16 @ sK3_SY20 )
| ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(18,plain,
! [SV3: $i > $o,SV1: $i] :
( ( ! [SY31: $i] :
( ~ ( in @ SY31
@ ( dsetconstr @ SV1
@ ^ [SY32: $i] : ( SV3 @ SY32 ) ) )
| ( SV3 @ SY31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(19,plain,
! [SV4: $i > $o,SV2: $i] :
( ( ! [SY33: $i] :
( ~ ( in @ SY33 @ SV2 )
| ~ ( SV4 @ SY33 )
| ( in @ SY33
@ ( dsetconstr @ SV2
@ ^ [SY34: $i] : ( SV4 @ SY34 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(20,plain,
( ( ~ ( in @ sK3_SY20 @ sK1_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ~ ( ~ ( ~ ( sK2_SY16 @ sK3_SY20 )
| ~ ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) )
| ~ ( ( sK2_SY16 @ sK3_SY20 )
| ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(22,plain,
! [SV3: $i > $o,SV1: $i,SV5: $i] :
( ( ~ ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY32: $i] : ( SV3 @ SY32 ) ) )
| ( SV3 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(23,plain,
! [SV4: $i > $o,SV2: $i,SV6: $i] :
( ( ~ ( in @ SV6 @ SV2 )
| ~ ( SV4 @ SV6 )
| ( in @ SV6
@ ( dsetconstr @ SV2
@ ^ [SY34: $i] : ( SV4 @ SY34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
( ( in @ sK3_SY20 @ sK1_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(25,plain,
( ( ~ ( ~ ( ~ ( sK2_SY16 @ sK3_SY20 )
| ~ ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) )
| ~ ( ( sK2_SY16 @ sK3_SY20 )
| ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(26,plain,
! [SV3: $i > $o,SV1: $i,SV5: $i] :
( ( ( ~ ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY32: $i] : ( SV3 @ SY32 ) ) ) )
= $true )
| ( ( SV3 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(27,plain,
! [SV4: $i > $o,SV2: $i,SV6: $i] :
( ( ( ~ ( in @ SV6 @ SV2 ) )
= $true )
| ( ( ~ ( SV4 @ SV6 )
| ( in @ SV6
@ ( dsetconstr @ SV2
@ ^ [SY34: $i] : ( SV4 @ SY34 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ( ~ ( sK2_SY16 @ sK3_SY20 )
| ~ ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) )
| ~ ( ( sK2_SY16 @ sK3_SY20 )
| ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(29,plain,
! [SV3: $i > $o,SV1: $i,SV5: $i] :
( ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY32: $i] : ( SV3 @ SY32 ) ) )
= $false )
| ( ( SV3 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(30,plain,
! [SV4: $i > $o,SV2: $i,SV6: $i] :
( ( ( in @ SV6 @ SV2 )
= $false )
| ( ( ~ ( SV4 @ SV6 )
| ( in @ SV6
@ ( dsetconstr @ SV2
@ ^ [SY34: $i] : ( SV4 @ SY34 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(31,plain,
( ( ~ ( ~ ( sK2_SY16 @ sK3_SY20 )
| ~ ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(32,plain,
( ( ~ ( ( sK2_SY16 @ sK3_SY20 )
| ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(33,plain,
! [SV2: $i,SV6: $i,SV4: $i > $o] :
( ( ( ~ ( SV4 @ SV6 ) )
= $true )
| ( ( in @ SV6
@ ( dsetconstr @ SV2
@ ^ [SY34: $i] : ( SV4 @ SY34 ) ) )
= $true )
| ( ( in @ SV6 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(34,plain,
( ( ~ ( sK2_SY16 @ sK3_SY20 )
| ~ ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(35,plain,
( ( ( sK2_SY16 @ sK3_SY20 )
| ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(36,plain,
! [SV2: $i,SV6: $i,SV4: $i > $o] :
( ( ( SV4 @ SV6 )
= $false )
| ( ( in @ SV6
@ ( dsetconstr @ SV2
@ ^ [SY34: $i] : ( SV4 @ SY34 ) ) )
= $true )
| ( ( in @ SV6 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(37,plain,
( ( ( ~ ( sK2_SY16 @ sK3_SY20 ) )
= $true )
| ( ( ~ ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(38,plain,
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(39,plain,
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( ~ ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(40,plain,
( ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(42,plain,
! [SV1: $i,SV5: $i] :
( ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : $false ) )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[29:[bind(SV3,$thf( ^ [SV15: $i] : $false ))]]) ).
thf(43,plain,
! [SV14: $i > $o,SV1: $i,SV5: $i] :
( ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV14 @ SV5 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[29:[bind(SV3,$thf( ^ [SV13: $i] : ~ ( SV14 @ SV13 ) ))]]) ).
thf(44,plain,
! [SV1: $i,SV5: $i] :
( ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $false )
| ( ( SV5 = sK1_A )
= $true ) ),
inference(prim_subst,[status(thm)],[29:[bind(SV3,$thf( ^ [SV17: $i] : ( SV17 = sK1_A ) ))]]) ).
thf(45,plain,
! [SV1: $i,SV5: $i] :
( ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) )
= $false )
| ( ( SV5 = sK3_SY20 )
= $true ) ),
inference(prim_subst,[status(thm)],[29:[bind(SV3,$thf( ^ [SV18: $i] : ( SV18 = sK3_SY20 ) ))]]) ).
thf(46,plain,
! [SV2: $i,SV6: $i] :
( ( $true = $false )
| ( ( in @ SV6
@ ( dsetconstr @ SV2
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ SV6 @ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[36:[bind(SV4,$thf( ^ [SV10: $i] : $true ))]]) ).
thf(48,plain,
! [SV2: $i,SV6: $i,SV8: $i > $o] :
( ( ( ~ ( SV8 @ SV6 ) )
= $false )
| ( ( in @ SV6
@ ( dsetconstr @ SV2
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $true )
| ( ( in @ SV6 @ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[36:[bind(SV4,$thf( ^ [SV7: $i] : ~ ( SV8 @ SV7 ) ))]]) ).
thf(49,plain,
! [SV2: $i,SV6: $i] :
( ( ( SV6 = sK1_A )
= $false )
| ( ( in @ SV6
@ ( dsetconstr @ SV2
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $true )
| ( ( in @ SV6 @ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[36:[bind(SV4,$thf( ^ [SV11: $i] : ( SV11 = sK1_A ) ))]]) ).
thf(50,plain,
! [SV2: $i,SV6: $i] :
( ( ( SV6 = sK3_SY20 )
= $false )
| ( ( in @ SV6
@ ( dsetconstr @ SV2
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) )
= $true )
| ( ( in @ SV6 @ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[36:[bind(SV4,$thf( ^ [SV12: $i] : ( SV12 = sK3_SY20 ) ))]]) ).
thf(51,plain,
! [SV3: $i > $o,SV1: $i,SV5: $i] :
( ( ( SV3 @ SV5 )
= $true )
| ( ( ( SV3 @ SV5 )
= ( ~ ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY32: $i] : ( SV3 @ SY32 ) ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[29]) ).
thf(52,plain,
( ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $true )
| ( ( ( sK2_SY16 @ sK3_SY20 )
= ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[38]) ).
thf(53,plain,
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= ( sK2_SY16 @ sK3_SY20 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[40]) ).
thf(54,plain,
! [SV1: $i,SV5: $i,SV3: $i > $o] :
( ( ( ~ ( ( SV3 @ SV5 )
| ~ ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY32: $i] : ( SV3 @ SY32 ) ) ) )
| ~ ( ~ ( SV3 @ SV5 )
| ~ ~ ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY32: $i] : ( SV3 @ SY32 ) ) ) ) )
= $false )
| ( ( SV3 @ SV5 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[51]) ).
thf(55,plain,
! [SV1: $i,SV5: $i,SV3: $i > $o] :
( ( ( ( SV3 @ SV5 )
= ( ~ ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY32: $i] : ( SV3 @ SY32 ) ) ) ) )
= $false )
| ( ( SV3 @ SV5 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[51]) ).
thf(56,plain,
( ( ( ~ ( ( sK2_SY16 @ sK3_SY20 )
| ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) )
| ~ ( ~ ( sK2_SY16 @ sK3_SY20 )
| ~ ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) ) )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[52]) ).
thf(58,plain,
( ( ( ~ ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
| ( sK2_SY16 @ sK3_SY20 ) )
| ~ ( ~ ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
| ~ ( sK2_SY16 @ sK3_SY20 ) ) )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[53]) ).
thf(60,plain,
! [SV1: $i,SV5: $i,SV3: $i > $o] :
( ( ( ~ ( ( SV3 @ SV5 )
| ~ ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY32: $i] : ( SV3 @ SY32 ) ) ) ) )
= $false )
| ( ( SV3 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(62,plain,
( ( ( ~ ( ( sK2_SY16 @ sK3_SY20 )
| ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) ) )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(65,plain,
( ( ( ~ ( ~ ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
| ~ ( sK2_SY16 @ sK3_SY20 ) ) )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(66,plain,
! [SV1: $i,SV5: $i,SV3: $i > $o] :
( ( ( ( SV3 @ SV5 )
| ~ ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY32: $i] : ( SV3 @ SY32 ) ) ) )
= $true )
| ( ( SV3 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(68,plain,
( ( ( ( sK2_SY16 @ sK3_SY20 )
| ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) )
= $true )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(71,plain,
( ( ( ~ ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
| ~ ( sK2_SY16 @ sK3_SY20 ) )
= $true )
| ( ( sK2_SY16 @ sK3_SY20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(72,plain,
! [SV1: $i,SV5: $i,SV3: $i > $o] :
( ( ( SV3 @ SV5 )
= $true )
| ( ( ~ ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY32: $i] : ( SV3 @ SY32 ) ) ) )
= $true )
| ( ( SV3 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(74,plain,
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $true )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(77,plain,
( ( ( ~ ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( sK2_SY16 @ sK3_SY20 ) )
= $true )
| ( ( sK2_SY16 @ sK3_SY20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(78,plain,
! [SV3: $i > $o,SV1: $i,SV5: $i] :
( ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY32: $i] : ( SV3 @ SY32 ) ) )
= $false )
| ( ( SV3 @ SV5 )
= $true )
| ( ( SV3 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(81,plain,
( ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $false )
| ( ( ~ ( sK2_SY16 @ sK3_SY20 ) )
= $true )
| ( ( sK2_SY16 @ sK3_SY20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(84,plain,
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(87,plain,
! [SV1: $i,SV25: $i > $i,SV5: $i,SV24: $i > $i] :
( ( ( ~ ( in @ ( SV24 @ SV5 ) @ ( SV25 @ SV5 ) ) )
= $true )
| ( ( in @ ( SV24 @ SV5 ) @ ( SV25 @ SV5 ) )
= $false )
| ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( in @ ( SV24 @ SX0 ) @ ( SV25 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[55:[bind(SV3,$thf( ^ [SX0: $i] : ~ ( in @ ( SV24 @ SX0 ) @ ( SV25 @ SX0 ) ) ))]]) ).
thf(88,plain,
! [SV1: $i,SV5: $i,SV21: $i > $o] :
( ( ( ~ ( SV21 @ SV5 ) )
= $true )
| ( ( ~ ( SV21 @ SV5 ) )
= $true )
| ( ( ~ ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[55:[bind(SV3,$thf( ^ [SX0: $i] : ~ ( SV21 @ SX0 ) ))]]) ).
thf(91,plain,
! [SV1: $i,SV5: $i,SV21: $i > $o] :
( ( ( SV21 @ SV5 )
= $false )
| ( ( ~ ( SV21 @ SV5 ) )
= $true )
| ( ( ~ ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(92,plain,
! [SV1: $i,SV25: $i > $i,SV5: $i,SV24: $i > $i] :
( ( ( in @ ( SV24 @ SV5 ) @ ( SV25 @ SV5 ) )
= $false )
| ( ( in @ ( SV24 @ SV5 ) @ ( SV25 @ SV5 ) )
= $false )
| ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( in @ ( SV24 @ SX0 ) @ ( SV25 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(95,plain,
! [SV1: $i,SV5: $i,SV21: $i > $o] :
( ( ( SV21 @ SV5 )
= $false )
| ( ( SV21 @ SV5 )
= $false )
| ( ( ~ ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(97,plain,
! [SV21: $i > $o,SV1: $i,SV5: $i] :
( ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 ) ) )
= $false )
| ( ( SV21 @ SV5 )
= $false )
| ( ( SV21 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(98,plain,
! [SV1: $i,SV5: $i,SV14: $i > $o] :
( ( ( SV14 @ SV5 )
= $false )
| ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(99,plain,
! [SV2: $i,SV6: $i,SV8: $i > $o] :
( ( ( SV8 @ SV6 )
= $true )
| ( ( in @ SV6
@ ( dsetconstr @ SV2
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $true )
| ( ( in @ SV6 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(100,plain,
! [SV2: $i] :
( ( ( in @ sK1_A @ SV2 )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV2
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV6,$thf( sK1_A ))]]) ).
thf(101,plain,
! [SV2: $i] :
( ( ( in @ sK3_SY20 @ SV2 )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV2
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[50:[bind(SV6,$thf( sK3_SY20 ))]]) ).
thf(102,plain,
! [SV3: $i > $o,SV1: $i,SV5: $i] :
( ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY32: $i] : ( SV3 @ SY32 ) ) )
= $false )
| ( ( SV3 @ SV5 )
= $true ) ),
inference(sim,[status(thm)],[78]) ).
thf(103,plain,
! [SV21: $i > $o,SV1: $i,SV5: $i] :
( ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 ) ) )
= $false )
| ( ( SV21 @ SV5 )
= $false ) ),
inference(sim,[status(thm)],[97]) ).
thf(104,plain,
! [SV1: $i,SV25: $i > $i,SV5: $i,SV24: $i > $i] :
( ( ( in @ ( SV24 @ SV5 ) @ ( SV25 @ SV5 ) )
= $false )
| ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( in @ ( SV24 @ SX0 ) @ ( SV25 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[92]) ).
thf(105,plain,
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $true ) ),
inference(sim,[status(thm)],[74]) ).
thf(106,plain,
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[84]) ).
thf(107,plain,
! [SV1: $i,SV5: $i] :
( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : $false ) )
= $false ),
inference(sim,[status(thm)],[42]) ).
thf(108,plain,
! [SV2: $i,SV6: $i] :
( ( ( in @ SV6
@ ( dsetconstr @ SV2
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ SV6 @ SV2 )
= $false ) ),
inference(sim,[status(thm)],[46]) ).
thf(109,plain,
! [SV26: $i > $o,SV27: $i,SV28: $i] :
( ( ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] : ( SV26 @ SX0 ) ) )
= $false )
| ( ( SV26 @ SV28 )
= $true ) ),
inference(rename,[status(thm)],[29]) ).
thf(112,plain,
! [SV26: $i > $o,SV27: $i,SV28: $i] :
( ( ( ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] : ( SV26 @ SX0 ) ) )
= ( in @ sK3_SY20 @ sK1_A ) )
= $false )
| ( ( SV26 @ SV28 )
= $true ) ),
inference(res,[status(thm)],[109,24]) ).
thf(114,plain,
! [SV27: $i,SV28: $i] :
( ( ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] : $false ) )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[109:[bind(SV26,$thf( ^ [SV31: $i] : $false ))]]) ).
thf(115,plain,
! [SV27: $i,SV28: $i] :
( ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] : $false ) )
= $false ),
inference(sim,[status(thm)],[114]) ).
thf(116,plain,
! [SV30: $i > $o,SV27: $i,SV28: $i] :
( ( ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] :
~ ( SV30 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV30 @ SV28 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[109:[bind(SV26,$thf( ^ [SV29: $i] : ~ ( SV30 @ SV29 ) ))]]) ).
thf(117,plain,
! [SV27: $i,SV28: $i] :
( ( ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $false )
| ( ( SV28 = sK1_A )
= $true ) ),
inference(prim_subst,[status(thm)],[109:[bind(SV26,$thf( ^ [SV33: $i] : ( SV33 = sK1_A ) ))]]) ).
thf(118,plain,
! [SV27: $i,SV28: $i] :
( ( ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) )
= $false )
| ( ( SV28 = sK3_SY20 )
= $true ) ),
inference(prim_subst,[status(thm)],[109:[bind(SV26,$thf( ^ [SV34: $i] : ( SV34 = sK3_SY20 ) ))]]) ).
thf(119,plain,
! [SV41: $i > $o,SV40: $i > $o,SV27: $i,SV28: $i] :
( ( ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] :
( ( SV40 @ SX0 )
| ( SV41 @ SX0 ) ) ) )
= $false )
| ( ( ( SV40 @ SV28 )
| ( SV41 @ SV28 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[109:[bind(SV26,$thf( ^ [SV39: $i] : ( ( SV40 @ SV39 ) | ( SV41 @ SV39 ) ) ))]]) ).
thf(120,plain,
! [SV38: $i > $i,SV37: $i > $i,SV27: $i,SV28: $i] :
( ( ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] :
( ( SV37 @ SX0 )
= ( SV38 @ SX0 ) ) ) )
= $false )
| ( ( ( SV37 @ SV28 )
= ( SV38 @ SV28 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[109:[bind(SV26,$thf( ^ [SV36: $i] : ( ( SV37 @ SV36 ) = ( SV38 @ SV36 ) ) ))]]) ).
thf(121,plain,
! [SV26: $i > $o,SV27: $i,SV28: $i] :
( ( ( SV26 @ SV28 )
= $true )
| ( ( ( SV26 @ SV28 )
= ( ~ ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] : ( SV26 @ SX0 ) ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[109]) ).
thf(122,plain,
! [SV27: $i,SV26: $i > $o] :
( ( ( SV26 @ sK3_SY20 )
= $true )
| ( ( ( dsetconstr @ SV27
@ ^ [SX0: $i] : ( SV26 @ SX0 ) )
= sK1_A )
= $false ) ),
inference(extuni,[status(esa)],[112:[bind(SV28,$thf( sK3_SY20 ))]]) ).
thf(126,plain,
! [SV27: $i,SV71: $i > $i,SV28: $i,SV70: $i > $i] :
( ( ( in @ ( SV70 @ SV28 ) @ ( SV71 @ SV28 ) )
= $false )
| ( ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] :
~ ( in @ ( SV70 @ SX0 ) @ ( SV71 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( in @ ( SV70 @ SV28 ) @ ( SV71 @ SV28 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[121:[bind(SV26,$thf( ^ [SX0: $i] : ~ ( in @ ( SV70 @ SX0 ) @ ( SV71 @ SX0 ) ) ))]]) ).
thf(127,plain,
! [SV27: $i,SV28: $i,SV67: $i > $o] :
( ( ( ~ ( SV67 @ SV28 ) )
= $true )
| ( ( ~ ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] :
~ ( SV67 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV67 @ SV28 ) )
= $true ) ),
inference(extuni,[status(esa)],[121:[bind(SV26,$thf( ^ [SX0: $i] : ~ ( SV67 @ SX0 ) ))]]) ).
thf(129,plain,
! [SV27: $i,SV28: $i,SV30: $i > $o] :
( ( ( SV30 @ SV28 )
= $false )
| ( ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] :
~ ( SV30 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(130,plain,
! [SV27: $i,SV41: $i > $o,SV28: $i,SV40: $i > $o] :
( ( ( SV40 @ SV28 )
= $true )
| ( ( SV41 @ SV28 )
= $true )
| ( ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] :
( ( SV40 @ SX0 )
| ( SV41 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(132,plain,
! [SV27: $i,SV28: $i,SV67: $i > $o] :
( ( ( SV67 @ SV28 )
= $false )
| ( ( ~ ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] :
~ ( SV67 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV67 @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(133,plain,
! [SV27: $i,SV71: $i > $i,SV28: $i,SV70: $i > $i] :
( ( ( in @ ( SV70 @ SV28 ) @ ( SV71 @ SV28 ) )
= $false )
| ( ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] :
~ ( in @ ( SV70 @ SX0 ) @ ( SV71 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV70 @ SV28 ) @ ( SV71 @ SV28 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(136,plain,
! [SV67: $i > $o,SV27: $i,SV28: $i] :
( ( ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] :
~ ( SV67 @ SX0 ) ) )
= $false )
| ( ( SV67 @ SV28 )
= $false )
| ( ( ~ ( SV67 @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(138,plain,
! [SV27: $i,SV28: $i,SV67: $i > $o] :
( ( ( SV67 @ SV28 )
= $false )
| ( ( SV67 @ SV28 )
= $false )
| ( ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] :
~ ( SV67 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(139,plain,
! [SV27: $i,SV28: $i,SV67: $i > $o] :
( ( ( SV67 @ SV28 )
= $false )
| ( ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] :
~ ( SV67 @ SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[138]) ).
thf(140,plain,
! [SV27: $i,SV71: $i > $i,SV28: $i,SV70: $i > $i] :
( ( ( in @ ( SV70 @ SV28 ) @ ( SV71 @ SV28 ) )
= $false )
| ( ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] :
~ ( in @ ( SV70 @ SX0 ) @ ( SV71 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[133]) ).
thf(141,plain,
! [SV72: $i,SV73: $i,SV74: $i > $o] :
( ( ( SV74 @ SV73 )
= $false )
| ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )
= $true )
| ( ( in @ SV73 @ SV72 )
= $false ) ),
inference(rename,[status(thm)],[36]) ).
thf(148,plain,
! [SV72: $i,SV73: $i,SV74: $i > $o,SV26: $i > $o,SV27: $i,SV28: $i] :
( ( ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )
= ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] : ( SV26 @ SX0 ) ) ) )
= $false )
| ( ( SV74 @ SV73 )
= $false )
| ( ( in @ SV73 @ SV72 )
= $false )
| ( ( SV26 @ SV28 )
= $true ) ),
inference(res,[status(thm)],[141,109]) ).
thf(149,plain,
! [SV72: $i,SV73: $i,SV74: $i > $o] :
( ( ( ( in @ SV73 @ SV72 )
= ( in @ sK3_SY20 @ sK1_A ) )
= $false )
| ( ( SV74 @ SV73 )
= $false )
| ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[141,24]) ).
thf(150,plain,
! [SV72: $i,SV73: $i,SV74: $i > $o] :
( ( ( ( SV74 @ SV73 )
= ( in @ sK3_SY20 @ sK1_A ) )
= $false )
| ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )
= $true )
| ( ( in @ SV73 @ SV72 )
= $false ) ),
inference(res,[status(thm)],[141,24]) ).
thf(151,plain,
! [SV72: $i,SV73: $i] :
( ( $true = $false )
| ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ SV73 @ SV72 )
= $false ) ),
inference(prim_subst,[status(thm)],[141:[bind(SV74,$thf( ^ [SV78: $i] : $true ))]]) ).
thf(152,plain,
! [SV72: $i,SV73: $i] :
( ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ SV73 @ SV72 )
= $false ) ),
inference(sim,[status(thm)],[151]) ).
thf(154,plain,
! [SV72: $i,SV73: $i,SV76: $i > $o] :
( ( ( ~ ( SV76 @ SV73 ) )
= $false )
| ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] :
~ ( SV76 @ SX0 ) ) )
= $true )
| ( ( in @ SV73 @ SV72 )
= $false ) ),
inference(prim_subst,[status(thm)],[141:[bind(SV74,$thf( ^ [SV75: $i] : ~ ( SV76 @ SV75 ) ))]]) ).
thf(155,plain,
! [SV72: $i,SV73: $i] :
( ( ( SV73 = sK3_SY20 )
= $false )
| ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) )
= $true )
| ( ( in @ SV73 @ SV72 )
= $false ) ),
inference(prim_subst,[status(thm)],[141:[bind(SV74,$thf( ^ [SV79: $i] : ( SV79 = sK3_SY20 ) ))]]) ).
thf(156,plain,
! [SV72: $i,SV73: $i] :
( ( ( SV73 = sK1_A )
= $false )
| ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $true )
| ( ( in @ SV73 @ SV72 )
= $false ) ),
inference(prim_subst,[status(thm)],[141:[bind(SV74,$thf( ^ [SV80: $i] : ( SV80 = sK1_A ) ))]]) ).
thf(157,plain,
! [SV72: $i,SV87: $i > $o,SV73: $i,SV86: $i > $o] :
( ( ( ( SV86 @ SV73 )
| ( SV87 @ SV73 ) )
= $false )
| ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] :
( ( SV86 @ SX0 )
| ( SV87 @ SX0 ) ) ) )
= $true )
| ( ( in @ SV73 @ SV72 )
= $false ) ),
inference(prim_subst,[status(thm)],[141:[bind(SV74,$thf( ^ [SV85: $i] : ( ( SV86 @ SV85 ) | ( SV87 @ SV85 ) ) ))]]) ).
thf(159,plain,
! [SV72: $i] :
( ( ( in @ sK3_SY20 @ SV72 )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( sK3_SY20 = sK1_A )
= $false ) ),
inference(extuni,[status(esa)],[150:[bind(SV73,$thf( sK3_SY20 )),bind(SV74,$thf( ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ))]]) ).
thf(160,plain,
! [SV72: $i] :
( ( ( in @ sK3_SY20 @ SV72 )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_A ) ) )
= $true ) ),
inference(extuni,[status(esa)],[150:[bind(SV73,$thf( sK3_SY20 )),bind(SV74,$thf( ^ [SX0: $i] : ( in @ SX0 @ sK1_A ) ))]]) ).
thf(161,plain,
! [SV72: $i] :
( ( ( in @ sK1_A @ SV72 )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( in @ sK3_SY20 @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[150:[bind(SV73,$thf( sK1_A )),bind(SV74,$thf( ^ [SX0: $i] : ( in @ sK3_SY20 @ SX0 ) ))]]) ).
thf(162,plain,
! [SV72: $i,SV73: $i] :
( ( ( in @ SV73 @ SV72 )
= $false )
| ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( in @ sK3_SY20 @ sK1_A ) ) )
= $true ) ),
inference(extuni,[status(esa)],[150:[bind(SV74,$thf( ^ [SX0: $i] : ( in @ sK3_SY20 @ sK1_A ) ))]]) ).
thf(163,plain,
! [SV110: $i > $i,SV109: $i > $i,SV72: $i,SV73: $i] :
( ( ( in @ SV73 @ SV72 )
= $false )
| ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( in @ ( SV109 @ SX0 ) @ ( SV110 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV109 @ SV73 ) @ ( SV110 @ SV73 ) )
= $true )
| ( ( in @ sK3_SY20 @ sK1_A )
= $true ) ),
inference(extuni,[status(esa)],[150:[bind(SV74,$thf( ^ [SX0: $i] : ( in @ ( SV109 @ SX0 ) @ ( SV110 @ SX0 ) ) ))]]) ).
thf(164,plain,
! [SV110: $i > $i,SV109: $i > $i,SV72: $i,SV73: $i] :
( ( ( in @ SV73 @ SV72 )
= $false )
| ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( in @ ( SV109 @ SX0 ) @ ( SV110 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV109 @ SV73 ) @ ( SV110 @ SV73 ) )
= $false )
| ( ( in @ sK3_SY20 @ sK1_A )
= $false ) ),
inference(extuni,[status(esa)],[150:[bind(SV74,$thf( ^ [SX0: $i] : ( in @ ( SV109 @ SX0 ) @ ( SV110 @ SX0 ) ) ))]]) ).
thf(165,plain,
! [SV74: $i > $o] :
( ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )
= $true )
| ( ( SV74 @ sK3_SY20 )
= $false ) ),
inference(extuni,[status(esa)],[149:[bind(SV72,$thf( sK1_A )),bind(SV73,$thf( sK3_SY20 ))]]) ).
thf(166,plain,
! [SV26: $i > $o,SV28: $i,SV27: $i,SV74: $i > $o] :
( ( ( SV26 @ SV28 )
= $true )
| ( ( in @ SV28 @ SV27 )
= $false )
| ( ( SV74 @ SV28 )
= $false )
| ( ( ( SV74 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) )
= ( SV26 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[148:[bind(SV72,$thf( SV27 )),bind(SV73,$thf( SV28 ))]]) ).
thf(167,plain,
! [SV27: $i,SV74: $i > $o,SV72: $i,SV28: $i,SV26: $i > $o] :
( ( ( SV26 @ SV28 )
= $true )
| ( ( in @ SV28 @ SV72 )
= $false )
| ( ( SV74 @ SV28 )
= $false )
| ( ( ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) )
= ( dsetconstr @ SV27
@ ^ [SX0: $i] : ( SV26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[148:[bind(SV73,$thf( SV28 ))]]) ).
thf(170,plain,
! [SV72: $i] :
( ( ( in @ sK3_SY20 @ SV72 )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[155:[bind(SV73,$thf( sK3_SY20 ))]]) ).
thf(171,plain,
! [SV72: $i] :
( ( ( in @ sK1_A @ SV72 )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $true ) ),
inference(extuni,[status(esa)],[156:[bind(SV73,$thf( sK1_A ))]]) ).
thf(172,plain,
! [SV26: $i > $o,SV28: $i,SV27: $i,SV74: $i > $o] :
( ( ( ~ ( ( SV74 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) )
| ( SV26 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) ) )
| ~ ( ~ ( SV74 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) )
| ~ ( SV26 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) ) ) )
= $false )
| ( ( SV74 @ SV28 )
= $false )
| ( ( in @ SV28 @ SV27 )
= $false )
| ( ( SV26 @ SV28 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[166]) ).
thf(173,plain,
! [SV26: $i > $o,SV28: $i,SV27: $i,SV74: $i > $o] :
( ( ( ( SV74 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) )
= ( SV26 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) ) )
= $false )
| ( ( SV74 @ SV28 )
= $false )
| ( ( in @ SV28 @ SV27 )
= $false )
| ( ( SV26 @ SV28 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[166]) ).
thf(174,plain,
! [SV72: $i,SV73: $i,SV76: $i > $o] :
( ( ( SV76 @ SV73 )
= $true )
| ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] :
~ ( SV76 @ SX0 ) ) )
= $true )
| ( ( in @ SV73 @ SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(175,plain,
! [SV87: $i > $o,SV72: $i,SV73: $i,SV86: $i > $o] :
( ( ( SV86 @ SV73 )
= $false )
| ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] :
( ( SV86 @ SX0 )
| ( SV87 @ SX0 ) ) ) )
= $true )
| ( ( in @ SV73 @ SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(176,plain,
! [SV86: $i > $o,SV72: $i,SV73: $i,SV87: $i > $o] :
( ( ( SV87 @ SV73 )
= $false )
| ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] :
( ( SV86 @ SX0 )
| ( SV87 @ SX0 ) ) ) )
= $true )
| ( ( in @ SV73 @ SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(177,plain,
! [SV26: $i > $o,SV28: $i,SV27: $i,SV74: $i > $o] :
( ( ( ~ ( ( SV74 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) )
| ( SV26 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) ) ) )
= $false )
| ( ( SV74 @ SV28 )
= $false )
| ( ( in @ SV28 @ SV27 )
= $false )
| ( ( SV26 @ SV28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(178,plain,
! [SV26: $i > $o,SV28: $i,SV27: $i,SV74: $i > $o] :
( ( ( ~ ( ~ ( SV74 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) )
| ~ ( SV26 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) ) ) )
= $false )
| ( ( SV74 @ SV28 )
= $false )
| ( ( in @ SV28 @ SV27 )
= $false )
| ( ( SV26 @ SV28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(179,plain,
! [SV26: $i > $o,SV28: $i,SV27: $i,SV74: $i > $o] :
( ( ( ( SV74 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) )
| ( SV26 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) ) )
= $true )
| ( ( SV74 @ SV28 )
= $false )
| ( ( in @ SV28 @ SV27 )
= $false )
| ( ( SV26 @ SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(180,plain,
! [SV26: $i > $o,SV28: $i,SV27: $i,SV74: $i > $o] :
( ( ( ~ ( SV74 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) )
| ~ ( SV26 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) ) )
= $true )
| ( ( SV74 @ SV28 )
= $false )
| ( ( in @ SV28 @ SV27 )
= $false )
| ( ( SV26 @ SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(181,plain,
! [SV26: $i > $o,SV28: $i,SV27: $i,SV74: $i > $o] :
( ( ( SV74 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) )
= $true )
| ( ( SV26 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) )
= $true )
| ( ( SV74 @ SV28 )
= $false )
| ( ( in @ SV28 @ SV27 )
= $false )
| ( ( SV26 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(182,plain,
! [SV26: $i > $o,SV28: $i,SV27: $i,SV74: $i > $o] :
( ( ( ~ ( SV74 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) ) )
= $true )
| ( ( ~ ( SV26 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) ) )
= $true )
| ( ( SV74 @ SV28 )
= $false )
| ( ( in @ SV28 @ SV27 )
= $false )
| ( ( SV26 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(183,plain,
! [SV26: $i > $o,SV28: $i,SV27: $i,SV74: $i > $o] :
( ( ( SV74 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) )
= $false )
| ( ( ~ ( SV26 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) ) )
= $true )
| ( ( SV74 @ SV28 )
= $false )
| ( ( in @ SV28 @ SV27 )
= $false )
| ( ( SV26 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(184,plain,
! [SV74: $i > $o,SV28: $i,SV27: $i,SV26: $i > $o] :
( ( ( SV26 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) )
= $false )
| ( ( SV74 @ ( sK4_E @ SV27 @ SV28 @ SV26 @ SV74 ) )
= $false )
| ( ( SV74 @ SV28 )
= $false )
| ( ( in @ SV28 @ SV27 )
= $false )
| ( ( SV26 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(185,plain,
! [SV72: $i,SV73: $i,SV74: $i > $o] :
( ( ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= ( in @ SV73 @ SV72 ) )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( SV74 @ SV73 )
= $false )
| ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[38,141]) ).
thf(189,plain,
! [SV26: $i > $o,SV27: $i,SV28: $i] :
( ( ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] : ( SV26 @ SX0 ) ) ) )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( SV26 @ SV28 )
= $true ) ),
inference(res,[status(thm)],[38,109]) ).
thf(192,plain,
! [SV26: $i > $o] :
( ( ( SV26 @ sK3_SY20 )
= $true )
| ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( sK2_SY16 @ ( sK5_E @ SV26 ) )
= $true )
| ( ( SV26 @ ( sK5_E @ SV26 ) )
= $true ) ),
inference(extuni,[status(esa)],[189:[bind(SV27,$thf( sK1_A )),bind(SV28,$thf( sK3_SY20 ))]]) ).
thf(193,plain,
! [SV26: $i > $o] :
( ( ( SV26 @ sK3_SY20 )
= $true )
| ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( sK2_SY16 @ ( sK5_E @ SV26 ) )
= $false )
| ( ( SV26 @ ( sK5_E @ SV26 ) )
= $false ) ),
inference(extuni,[status(esa)],[189:[bind(SV27,$thf( sK1_A )),bind(SV28,$thf( sK3_SY20 ))]]) ).
thf(194,plain,
! [SV27: $i,SV26: $i > $o] :
( ( ( SV26 @ sK3_SY20 )
= $true )
| ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) )
= ( dsetconstr @ SV27
@ ^ [SX0: $i] : ( SV26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[189:[bind(SV28,$thf( sK3_SY20 ))]]) ).
thf(195,plain,
! [SV74: $i > $o] :
( ( ( in @ sK3_SY20
@ ( dsetconstr
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) )
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )
= $true )
| ( ( SV74 @ sK3_SY20 )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $true ) ),
inference(extuni,[status(esa)],[185:[bind(SV72,$thf( dsetconstr @ sK1_A @ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) )),bind(SV73,$thf( sK3_SY20 ))]]) ).
thf(197,plain,
! [SV72: $i,SV73: $i,SV74: $i > $o] :
( ( ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) ) )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( SV74 @ SV73 )
= $false )
| ( ( in @ SV73 @ SV72 )
= $false ) ),
inference(res,[status(thm)],[40,141]) ).
thf(205,plain,
( ( ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= ( in @ sK3_SY20 @ sK1_A ) )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $false ) ),
inference(res,[status(thm)],[40,24]) ).
thf(207,plain,
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) )
= sK1_A )
= $false ) ),
inference(extuni,[status(esa)],[205]) ).
thf(210,plain,
! [SV74: $i > $o] :
( ( ( in @ sK3_SY20 @ sK1_A )
= $false )
| ( ( SV74 @ sK3_SY20 )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( sK2_SY16 @ ( sK7_E @ SV74 ) )
= $true )
| ( ( SV74 @ ( sK7_E @ SV74 ) )
= $true ) ),
inference(extuni,[status(esa)],[197:[bind(SV72,$thf( sK1_A )),bind(SV73,$thf( sK3_SY20 ))]]) ).
thf(211,plain,
! [SV74: $i > $o] :
( ( ( in @ sK3_SY20 @ sK1_A )
= $false )
| ( ( SV74 @ sK3_SY20 )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( sK2_SY16 @ ( sK7_E @ SV74 ) )
= $false )
| ( ( SV74 @ ( sK7_E @ SV74 ) )
= $false ) ),
inference(extuni,[status(esa)],[197:[bind(SV72,$thf( sK1_A )),bind(SV73,$thf( sK3_SY20 ))]]) ).
thf(212,plain,
! [SV74: $i > $o,SV72: $i] :
( ( ( in @ sK3_SY20 @ SV72 )
= $false )
| ( ( SV74 @ sK3_SY20 )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) )
= ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[197:[bind(SV73,$thf( sK3_SY20 ))]]) ).
thf(213,plain,
! [SV121: $i,SV122: $i] :
( ( ( in @ SV122
@ ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $false )
| ( ( SV122 = sK1_A )
= $true ) ),
inference(rename,[status(thm)],[44]) ).
thf(217,plain,
! [SV121: $i,SV122: $i,SV72: $i,SV73: $i,SV74: $i > $o] :
( ( ( ( in @ SV122
@ ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) ) )
= $false )
| ( ( SV122 = sK1_A )
= $true )
| ( ( SV74 @ SV73 )
= $false )
| ( ( in @ SV73 @ SV72 )
= $false ) ),
inference(res,[status(thm)],[213,141]) ).
thf(223,plain,
! [SV121: $i,SV122: $i] :
( ( ( ( in @ SV122
@ ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) )
= $false )
| ( ( SV122 = sK1_A )
= $true )
| ( ( sK2_SY16 @ sK3_SY20 )
= $true ) ),
inference(res,[status(thm)],[213,38]) ).
thf(225,plain,
! [SV121: $i,SV122: $i] :
( ( ( ( in @ SV122
@ ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= ( in @ sK3_SY20 @ sK1_A ) )
= $false )
| ( ( SV122 = sK1_A )
= $true ) ),
inference(res,[status(thm)],[213,24]) ).
thf(226,plain,
! [SV121: $i] :
( ( ( sK3_SY20 = sK1_A )
= $true )
| ( ( ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) )
= sK1_A )
= $false ) ),
inference(extuni,[status(esa)],[225:[bind(SV122,$thf( sK3_SY20 ))]]) ).
thf(227,plain,
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( sK3_SY20 = sK1_A )
= $true )
| ( ( sK11_E = sK1_A )
= $true )
| ( ( sK2_SY16 @ sK11_E )
= $true ) ),
inference(extuni,[status(esa)],[223:[bind(SV121,$thf( sK1_A )),bind(SV122,$thf( sK3_SY20 ))]]) ).
thf(228,plain,
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( sK3_SY20 = sK1_A )
= $true )
| ( ( sK11_E = sK1_A )
= $false )
| ( ( sK2_SY16 @ sK11_E )
= $false ) ),
inference(extuni,[status(esa)],[223:[bind(SV121,$thf( sK1_A )),bind(SV122,$thf( sK3_SY20 ))]]) ).
thf(229,plain,
! [SV121: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( sK3_SY20 = sK1_A )
= $true )
| ( ( ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) )
= ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[223:[bind(SV122,$thf( sK3_SY20 ))]]) ).
thf(230,plain,
! [SV74: $i > $o,SV72: $i,SV73: $i] :
( ( ( in @ SV73 @ SV72 )
= $false )
| ( ( SV74 @ SV73 )
= $false )
| ( ( SV73 = sK1_A )
= $true )
| ( ( ( sK12_E @ SV72 @ SV73 @ SV74 )
= sK1_A )
= $true )
| ( ( SV74 @ ( sK12_E @ SV72 @ SV73 @ SV74 ) )
= $true ) ),
inference(extuni,[status(esa)],[217:[bind(SV121,$thf( SV72 )),bind(SV122,$thf( SV73 ))]]) ).
thf(231,plain,
! [SV74: $i > $o,SV72: $i,SV73: $i] :
( ( ( in @ SV73 @ SV72 )
= $false )
| ( ( SV74 @ SV73 )
= $false )
| ( ( SV73 = sK1_A )
= $true )
| ( ( ( sK12_E @ SV72 @ SV73 @ SV74 )
= sK1_A )
= $false )
| ( ( SV74 @ ( sK12_E @ SV72 @ SV73 @ SV74 ) )
= $false ) ),
inference(extuni,[status(esa)],[217:[bind(SV121,$thf( SV72 )),bind(SV122,$thf( SV73 ))]]) ).
thf(232,plain,
! [SV121: $i,SV74: $i > $o,SV72: $i,SV73: $i] :
( ( ( in @ SV73 @ SV72 )
= $false )
| ( ( SV74 @ SV73 )
= $false )
| ( ( SV73 = sK1_A )
= $true )
| ( ( ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) )
= ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[217:[bind(SV122,$thf( SV73 ))]]) ).
thf(233,plain,
! [SV123: $i,SV124: $i] :
( ( ( in @ SV124
@ ( dsetconstr @ SV123
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) )
= $false )
| ( ( SV124 = sK3_SY20 )
= $true ) ),
inference(rename,[status(thm)],[45]) ).
thf(239,plain,
! [SV123: $i,SV124: $i,SV72: $i,SV73: $i,SV74: $i > $o] :
( ( ( ( in @ SV124
@ ( dsetconstr @ SV123
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) )
= ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) ) )
= $false )
| ( ( SV124 = sK3_SY20 )
= $true )
| ( ( SV74 @ SV73 )
= $false )
| ( ( in @ SV73 @ SV72 )
= $false ) ),
inference(res,[status(thm)],[233,141]) ).
thf(252,plain,
! [SV74: $i > $o,SV72: $i,SV73: $i] :
( ( ( in @ SV73 @ SV72 )
= $false )
| ( ( SV74 @ SV73 )
= $false )
| ( ( SV73 = sK3_SY20 )
= $true )
| ( ( ( sK19_E @ SV72 @ SV73 @ SV74 )
= sK3_SY20 )
= $true )
| ( ( SV74 @ ( sK19_E @ SV72 @ SV73 @ SV74 ) )
= $true ) ),
inference(extuni,[status(esa)],[239:[bind(SV123,$thf( SV72 )),bind(SV124,$thf( SV73 ))]]) ).
thf(253,plain,
! [SV74: $i > $o,SV72: $i,SV73: $i] :
( ( ( in @ SV73 @ SV72 )
= $false )
| ( ( SV74 @ SV73 )
= $false )
| ( ( SV73 = sK3_SY20 )
= $true )
| ( ( ( sK19_E @ SV72 @ SV73 @ SV74 )
= sK3_SY20 )
= $false )
| ( ( SV74 @ ( sK19_E @ SV72 @ SV73 @ SV74 ) )
= $false ) ),
inference(extuni,[status(esa)],[239:[bind(SV123,$thf( SV72 )),bind(SV124,$thf( SV73 ))]]) ).
thf(254,plain,
! [SV123: $i,SV74: $i > $o,SV72: $i,SV73: $i] :
( ( ( in @ SV73 @ SV72 )
= $false )
| ( ( SV74 @ SV73 )
= $false )
| ( ( SV73 = sK3_SY20 )
= $true )
| ( ( ( dsetconstr @ SV123
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) )
= ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[239:[bind(SV124,$thf( SV73 ))]]) ).
thf(255,plain,
! [SV125: $i,SV126: $i,SV127: $i > $o] :
( ( ( SV127 @ SV126 )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) ) )
= $false ) ),
inference(rename,[status(thm)],[98]) ).
thf(257,plain,
! [SV125: $i,SV126: $i,SV127: $i > $o,SV123: $i,SV124: $i] :
( ( ( ( SV127 @ SV126 )
= ( SV124 = sK3_SY20 ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) ) )
= $false )
| ( ( in @ SV124
@ ( dsetconstr @ SV123
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) )
= $false ) ),
inference(res,[status(thm)],[255,233]) ).
thf(259,plain,
! [SV125: $i,SV126: $i,SV127: $i > $o,SV121: $i,SV122: $i] :
( ( ( ( SV127 @ SV126 )
= ( SV122 = sK1_A ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) ) )
= $false )
| ( ( in @ SV122
@ ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $false ) ),
inference(res,[status(thm)],[255,213]) ).
thf(260,plain,
! [SV125: $i,SV126: $i,SV127: $i > $o,SV72: $i,SV73: $i,SV74: $i > $o] :
( ( ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) ) )
= ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) ) )
= $false )
| ( ( SV127 @ SV126 )
= $false )
| ( ( SV74 @ SV73 )
= $false )
| ( ( in @ SV73 @ SV72 )
= $false ) ),
inference(res,[status(thm)],[255,141]) ).
thf(261,plain,
! [SV125: $i,SV126: $i,SV127: $i > $o,SV72: $i,SV73: $i,SV74: $i > $o] :
( ( ( ( SV127 @ SV126 )
= ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) ) )
= $false )
| ( ( SV74 @ SV73 )
= $false )
| ( ( in @ SV73 @ SV72 )
= $false ) ),
inference(res,[status(thm)],[255,141]) ).
thf(264,plain,
! [SV125: $i,SV126: $i,SV127: $i > $o] :
( ( ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) ) )
= ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) )
= $false )
| ( ( SV127 @ SV126 )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $true ) ),
inference(res,[status(thm)],[255,38]) ).
thf(265,plain,
! [SV125: $i,SV126: $i,SV127: $i > $o] :
( ( ( ( SV127 @ SV126 )
= ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) ) )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $true ) ),
inference(res,[status(thm)],[255,38]) ).
thf(267,plain,
! [SV125: $i,SV126: $i,SV127: $i > $o] :
( ( ( ( SV127 @ SV126 )
= ( sK2_SY16 @ sK3_SY20 ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[255,38]) ).
thf(268,plain,
! [SV125: $i,SV126: $i,SV127: $i > $o] :
( ( ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) ) )
= ( in @ sK3_SY20 @ sK1_A ) )
= $false )
| ( ( SV127 @ SV126 )
= $false ) ),
inference(res,[status(thm)],[255,24]) ).
thf(269,plain,
! [SV125: $i,SV126: $i,SV127: $i > $o] :
( ( ( ( SV127 @ SV126 )
= ( in @ sK3_SY20 @ sK1_A ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) ) )
= $false ) ),
inference(res,[status(thm)],[255,24]) ).
thf(270,plain,
! [SV125: $i,SV126: $i] :
( ( $true = $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ~ $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[255:[bind(SV127,$thf( ^ [SV131: $i] : $true ))]]) ).
thf(271,plain,
! [SV125: $i,SV126: $i] :
( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ~ $true ) )
= $false ),
inference(sim,[status(thm)],[270]) ).
thf(273,plain,
! [SV125: $i,SV126: $i,SV129: $i > $o] :
( ( ( ~ ( SV129 @ SV126 ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ~ ( SV129 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[255:[bind(SV127,$thf( ^ [SV128: $i] : ~ ( SV129 @ SV128 ) ))]]) ).
thf(274,plain,
! [SV125: $i,SV126: $i] :
( ( ( SV126 = sK6_E )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK6_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[255:[bind(SV127,$thf( ^ [SV132: $i] : ( SV132 = sK6_E ) ))]]) ).
thf(275,plain,
! [SV125: $i,SV126: $i] :
( ( ( SV126 = sK23_E )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK23_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[255:[bind(SV127,$thf( ^ [SV133: $i] : ( SV133 = sK23_E ) ))]]) ).
thf(276,plain,
! [SV125: $i,SV126: $i] :
( ( ( SV126 = sK22_E )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK22_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[255:[bind(SV127,$thf( ^ [SV134: $i] : ( SV134 = sK22_E ) ))]]) ).
thf(277,plain,
! [SV125: $i,SV126: $i] :
( ( ( SV126 = sK18_E )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK18_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[255:[bind(SV127,$thf( ^ [SV135: $i] : ( SV135 = sK18_E ) ))]]) ).
thf(278,plain,
! [SV125: $i,SV126: $i] :
( ( ( SV126 = sK9_E )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK9_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[255:[bind(SV127,$thf( ^ [SV136: $i] : ( SV136 = sK9_E ) ))]]) ).
thf(279,plain,
! [SV125: $i,SV126: $i] :
( ( ( SV126 = sK10_E )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK10_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[255:[bind(SV127,$thf( ^ [SV137: $i] : ( SV137 = sK10_E ) ))]]) ).
thf(280,plain,
! [SV125: $i,SV126: $i] :
( ( ( SV126 = sK20_E )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK20_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[255:[bind(SV127,$thf( ^ [SV138: $i] : ( SV138 = sK20_E ) ))]]) ).
thf(281,plain,
! [SV125: $i,SV126: $i] :
( ( ( SV126 = sK21_E )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK21_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[255:[bind(SV127,$thf( ^ [SV139: $i] : ( SV139 = sK21_E ) ))]]) ).
thf(282,plain,
! [SV125: $i,SV126: $i] :
( ( ( SV126 = sK3_SY20 )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK3_SY20 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[255:[bind(SV127,$thf( ^ [SV140: $i] : ( SV140 = sK3_SY20 ) ))]]) ).
thf(283,plain,
! [SV125: $i,SV126: $i] :
( ( ( SV126 = sK13_E )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK13_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[255:[bind(SV127,$thf( ^ [SV141: $i] : ( SV141 = sK13_E ) ))]]) ).
thf(284,plain,
! [SV125: $i,SV126: $i] :
( ( ( SV126 = sK1_A )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK1_A ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[255:[bind(SV127,$thf( ^ [SV142: $i] : ( SV142 = sK1_A ) ))]]) ).
thf(285,plain,
! [SV125: $i,SV126: $i] :
( ( ( SV126 = sK16_E )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK16_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[255:[bind(SV127,$thf( ^ [SV143: $i] : ( SV143 = sK16_E ) ))]]) ).
thf(286,plain,
! [SV125: $i,SV126: $i] :
( ( ( SV126 = sK11_E )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK11_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[255:[bind(SV127,$thf( ^ [SV144: $i] : ( SV144 = sK11_E ) ))]]) ).
thf(287,plain,
! [SV125: $i,SV126: $i] :
( ( ( SV126 = sK14_E )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK14_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[255:[bind(SV127,$thf( ^ [SV145: $i] : ( SV145 = sK14_E ) ))]]) ).
thf(288,plain,
! [SV125: $i,SV126: $i] :
( ( ( SV126 = sK15_E )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK15_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[255:[bind(SV127,$thf( ^ [SV146: $i] : ( SV146 = sK15_E ) ))]]) ).
thf(289,plain,
! [SV125: $i,SV126: $i] :
( ( ( SV126 = sK8_E )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK8_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[255:[bind(SV127,$thf( ^ [SV147: $i] : ( SV147 = sK8_E ) ))]]) ).
thf(290,plain,
! [SV125: $i,SV126: $i] :
( ( ( SV126 = sK17_E )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK17_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[255:[bind(SV127,$thf( ^ [SV148: $i] : ( SV148 = sK17_E ) ))]]) ).
thf(291,plain,
! [SV125: $i,SV155: $i > $o,SV126: $i,SV154: $i > $o] :
( ( ( ( SV154 @ SV126 )
| ( SV155 @ SV126 ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( ( SV154 @ SX0 )
| ( SV155 @ SX0 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[255:[bind(SV127,$thf( ^ [SV153: $i] : ( ( SV154 @ SV153 ) | ( SV155 @ SV153 ) ) ))]]) ).
thf(293,plain,
! [SV125: $i,SV126: $i,SV127: $i > $o] :
( ( ( SV127 @ SV126 )
= $false )
| ( ( ( SV127 @ SV126 )
= ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[255]) ).
thf(294,plain,
! [SV125: $i] :
( ( ( in @ sK3_SY20
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( sK3_SY20 = sK1_A )
= $false ) ),
inference(extuni,[status(esa)],[269:[bind(SV126,$thf( sK3_SY20 )),bind(SV127,$thf( ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ))]]) ).
thf(295,plain,
! [SV125: $i] :
( ( in @ sK3_SY20
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK1_A ) ) )
= $false ),
inference(extuni,[status(esa)],[269:[bind(SV126,$thf( sK3_SY20 )),bind(SV127,$thf( ^ [SX0: $i] : ( in @ SX0 @ sK1_A ) ))]]) ).
thf(296,plain,
! [SV125: $i] :
( ( in @ sK1_A
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ sK3_SY20 @ SX0 ) ) )
= $false ),
inference(extuni,[status(esa)],[269:[bind(SV126,$thf( sK1_A )),bind(SV127,$thf( ^ [SX0: $i] : ( in @ sK3_SY20 @ SX0 ) ))]]) ).
thf(297,plain,
! [SV125: $i,SV126: $i] :
( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ sK3_SY20 @ sK1_A ) ) )
= $false ),
inference(extuni,[status(esa)],[269:[bind(SV127,$thf( ^ [SX0: $i] : ( in @ sK3_SY20 @ sK1_A ) ))]]) ).
thf(298,plain,
! [SV178: $i > $i,SV177: $i > $i,SV125: $i,SV126: $i] :
( ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ ( SV177 @ SX0 ) @ ( SV178 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV177 @ SV126 ) @ ( SV178 @ SV126 ) )
= $true )
| ( ( in @ sK3_SY20 @ sK1_A )
= $true ) ),
inference(extuni,[status(esa)],[269:[bind(SV127,$thf( ^ [SX0: $i] : ( in @ ( SV177 @ SX0 ) @ ( SV178 @ SX0 ) ) ))]]) ).
thf(299,plain,
! [SV178: $i > $i,SV177: $i > $i,SV125: $i,SV126: $i] :
( ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ ( SV177 @ SX0 ) @ ( SV178 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV177 @ SV126 ) @ ( SV178 @ SV126 ) )
= $false )
| ( ( in @ sK3_SY20 @ sK1_A )
= $false ) ),
inference(extuni,[status(esa)],[269:[bind(SV127,$thf( ^ [SX0: $i] : ( in @ ( SV177 @ SX0 ) @ ( SV178 @ SX0 ) ) ))]]) ).
thf(300,plain,
! [SV125: $i,SV127: $i > $o] :
( ( ( SV127 @ sK3_SY20 )
= $false )
| ( ( ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) )
= sK1_A )
= $false ) ),
inference(extuni,[status(esa)],[268:[bind(SV126,$thf( sK3_SY20 ))]]) ).
thf(301,plain,
! [SV125: $i] :
( ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $true )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( sK2_SY16 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[267:[bind(SV126,$thf( sK3_SY20 )),bind(SV127,$thf( ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ))]]) ).
thf(302,plain,
! [SV125: $i,SV126: $i] :
( ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $true )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( sK2_SY16 @ sK3_SY20 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[267:[bind(SV127,$thf( ^ [SX0: $i] : ( sK2_SY16 @ sK3_SY20 ) ))]]) ).
thf(303,plain,
! [SV187: $i > $i,SV125: $i,SV126: $i] :
( ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $true )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( sK2_SY16 @ ( SV187 @ SX0 ) ) ) )
= $false )
| ( ( sK2_SY16 @ ( SV187 @ SV126 ) )
= $true )
| ( ( sK2_SY16 @ sK3_SY20 )
= $true ) ),
inference(extuni,[status(esa)],[267:[bind(SV127,$thf( ^ [SX0: $i] : ( sK2_SY16 @ ( SV187 @ SX0 ) ) ))]]) ).
thf(304,plain,
! [SV187: $i > $i,SV125: $i,SV126: $i] :
( ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $true )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( sK2_SY16 @ ( SV187 @ SX0 ) ) ) )
= $false )
| ( ( sK2_SY16 @ ( SV187 @ SV126 ) )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $false ) ),
inference(extuni,[status(esa)],[267:[bind(SV127,$thf( ^ [SX0: $i] : ( sK2_SY16 @ ( SV187 @ SX0 ) ) ))]]) ).
thf(305,plain,
! [SV246: $i > $i > $i,SV125: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY16 @ ( SV246 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY16
@ ( SV246 @ sK3_SY20
@ ( sK27_E @ SV125
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV246 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY16
@ ( sK27_E @ SV125
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV246 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( sK3_SY20 = sK1_A )
= $false ) ),
inference(extuni,[status(esa)],[265:[bind(SV126,$thf( sK3_SY20 )),bind(SV127,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY16 @ ( SV246 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(306,plain,
! [SV246: $i > $i > $i,SV125: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY16 @ ( SV246 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY16
@ ( SV246 @ sK3_SY20
@ ( sK27_E @ SV125
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV246 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY16
@ ( sK27_E @ SV125
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV246 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK3_SY20 = sK1_A )
= $false ) ),
inference(extuni,[status(esa)],[265:[bind(SV126,$thf( sK3_SY20 )),bind(SV127,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY16 @ ( SV246 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(307,plain,
! [SV235: $i > $i > $i,SV125: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ sK1_A
@ ^ [SX1: $i] : ( sK2_SY16 @ ( SV235 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY16
@ ( SV235 @ sK3_SY20
@ ( sK26_E @ SV125
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV235 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY16
@ ( sK26_E @ SV125
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV235 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[265:[bind(SV126,$thf( sK3_SY20 )),bind(SV127,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ sK1_A @ ^ [SX1: $i] : ( sK2_SY16 @ ( SV235 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(308,plain,
! [SV235: $i > $i > $i,SV125: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ sK1_A
@ ^ [SX1: $i] : ( sK2_SY16 @ ( SV235 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY16
@ ( SV235 @ sK3_SY20
@ ( sK26_E @ SV125
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV235 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY16
@ ( sK26_E @ SV125
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV235 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[265:[bind(SV126,$thf( sK3_SY20 )),bind(SV127,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ sK1_A @ ^ [SX1: $i] : ( sK2_SY16 @ ( SV235 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(309,plain,
! [SV228: $i > $i > $o,SV227: $i > $i,SV125: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ SX0 @ ( dsetconstr @ ( SV227 @ SX0 ) @ ( SV228 @ SX0 ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ ( SV227 @ sK3_SY20 ) @ ( SV228 @ sK3_SY20 ) )
= ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[265:[bind(SV126,$thf( sK3_SY20 )),bind(SV127,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ ( SV227 @ SX0 ) @ ( SV228 @ SX0 ) ) ) ))]]) ).
thf(310,plain,
! [SV125: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( sK3_SY20
= ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[265:[bind(SV126,$thf( sK3_SY20 )),bind(SV127,$thf( ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ))]]) ).
thf(311,plain,
! [SV218: $i > $i > $i,SV125: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ sK3_SY20
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY16 @ ( SV218 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY16
@ ( SV218 @ sK1_A
@ ( sK25_E @ SV125
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV218 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY16
@ ( sK25_E @ SV125
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV218 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[265:[bind(SV126,$thf( sK1_A )),bind(SV127,$thf( ^ [SX0: $i] : ( in @ sK3_SY20 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY16 @ ( SV218 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(312,plain,
! [SV218: $i > $i > $i,SV125: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ sK3_SY20
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY16 @ ( SV218 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY16
@ ( SV218 @ sK1_A
@ ( sK25_E @ SV125
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV218 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY16
@ ( sK25_E @ SV125
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV218 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[265:[bind(SV126,$thf( sK1_A )),bind(SV127,$thf( ^ [SX0: $i] : ( in @ sK3_SY20 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY16 @ ( SV218 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(313,plain,
! [SV206: $i > $i > $i,SV125: $i,SV126: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX1: $i] : ( sK2_SY16 @ ( SV206 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY16
@ ( SV206 @ SV126
@ ( sK24_E @ SV125 @ SV126
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV206 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY16
@ ( sK24_E @ SV125 @ SV126
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV206 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[265:[bind(SV127,$thf( ^ [SX0: $i] : ( in @ sK3_SY20 @ ( dsetconstr @ sK1_A @ ^ [SX1: $i] : ( sK2_SY16 @ ( SV206 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(314,plain,
! [SV206: $i > $i > $i,SV125: $i,SV126: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX1: $i] : ( sK2_SY16 @ ( SV206 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY16
@ ( SV206 @ SV126
@ ( sK24_E @ SV125 @ SV126
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV206 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY16
@ ( sK24_E @ SV125 @ SV126
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV206 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[265:[bind(SV127,$thf( ^ [SX0: $i] : ( in @ sK3_SY20 @ ( dsetconstr @ sK1_A @ ^ [SX1: $i] : ( sK2_SY16 @ ( SV206 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(315,plain,
! [SV199: $i > $i > $o,SV198: $i > $i,SV125: $i,SV126: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ sK3_SY20 @ ( dsetconstr @ ( SV198 @ SX0 ) @ ( SV199 @ SX0 ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ ( SV198 @ SV126 ) @ ( SV199 @ SV126 ) )
= ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[265:[bind(SV127,$thf( ^ [SX0: $i] : ( in @ sK3_SY20 @ ( dsetconstr @ ( SV198 @ SX0 ) @ ( SV199 @ SX0 ) ) ) ))]]) ).
thf(316,plain,
! [SV125: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( in
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) )
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ sK3_SY20 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[265:[bind(SV126,$thf( dsetconstr @ sK1_A @ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) )),bind(SV127,$thf( ^ [SX0: $i] : ( in @ sK3_SY20 @ SX0 ) ))]]) ).
thf(317,plain,
! [SV193: $i > $i,SV192: $i > $i,SV125: $i,SV126: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ ( SV192 @ SX0 ) @ ( SV193 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV192 @ SV126 ) @ ( SV193 @ SV126 ) )
= $true )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[265:[bind(SV127,$thf( ^ [SX0: $i] : ( in @ ( SV192 @ SX0 ) @ ( SV193 @ SX0 ) ) ))]]) ).
thf(318,plain,
! [SV193: $i > $i,SV192: $i > $i,SV125: $i,SV126: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ ( SV192 @ SX0 ) @ ( SV193 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV192 @ SV126 ) @ ( SV193 @ SV126 ) )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[265:[bind(SV127,$thf( ^ [SX0: $i] : ( in @ ( SV192 @ SX0 ) @ ( SV193 @ SX0 ) ) ))]]) ).
thf(319,plain,
! [SV127: $i > $o] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( SV127 @ sK3_SY20 )
= $false )
| ( ( ~ ( SV127 @ ( sK28_E @ SV127 ) ) )
= $true )
| ( ( sK2_SY16 @ ( sK28_E @ SV127 ) )
= $true ) ),
inference(extuni,[status(esa)],[264:[bind(SV125,$thf( sK1_A )),bind(SV126,$thf( sK3_SY20 ))]]) ).
thf(320,plain,
! [SV127: $i > $o] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( SV127 @ sK3_SY20 )
= $false )
| ( ( ~ ( SV127 @ ( sK28_E @ SV127 ) ) )
= $false )
| ( ( sK2_SY16 @ ( sK28_E @ SV127 ) )
= $false ) ),
inference(extuni,[status(esa)],[264:[bind(SV125,$thf( sK1_A )),bind(SV126,$thf( sK3_SY20 ))]]) ).
thf(321,plain,
! [SV125: $i,SV127: $i > $o] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( SV127 @ sK3_SY20 )
= $false )
| ( ( ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) )
= ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[264:[bind(SV126,$thf( sK3_SY20 ))]]) ).
thf(322,plain,
! [SV74: $i > $o,SV125: $i,SV255: $i > $i,SV259: $i > $i,SV126: $i,SV260: $i > $i > $o] :
( ( ( in @ ( SV255 @ SV126 ) @ ( SV259 @ SV126 ) )
= $false )
| ( ( SV74 @ ( SV255 @ SV126 ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ ( SV255 @ SX0 ) @ ( dsetconstr @ ( SV259 @ SX0 ) @ ( SV260 @ SX0 ) ) ) ) )
= $false )
| ( ( ( SV260 @ SV126 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) )
= ( SV74 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[261:[bind(SV72,$thf( SV259 @ SV126 )),bind(SV73,$thf( SV255 @ SV126 )),bind(SV127,$thf( ^ [SX0: $i] : ( in @ ( SV255 @ SX0 ) @ ( dsetconstr @ ( SV259 @ SX0 ) @ ( SV260 @ SX0 ) ) ) ))]]) ).
thf(323,plain,
! [SV260: $i > $i > $o,SV259: $i > $i,SV125: $i,SV74: $i > $o,SV72: $i,SV126: $i,SV255: $i > $i] :
( ( ( in @ ( SV255 @ SV126 ) @ SV72 )
= $false )
| ( ( SV74 @ ( SV255 @ SV126 ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ ( SV255 @ SX0 ) @ ( dsetconstr @ ( SV259 @ SX0 ) @ ( SV260 @ SX0 ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ ( SV259 @ SV126 ) @ ( SV260 @ SV126 ) )
= ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[261:[bind(SV73,$thf( SV255 @ SV126 )),bind(SV127,$thf( ^ [SX0: $i] : ( in @ ( SV255 @ SX0 ) @ ( dsetconstr @ ( SV259 @ SX0 ) @ ( SV260 @ SX0 ) ) ) ))]]) ).
thf(324,plain,
! [SV125: $i,SV74: $i > $o,SV72: $i,SV255: $i > $i] :
( ( ( in
@ ( SV255
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )
@ SV72 )
= $false )
| ( ( SV74
@ ( SV255
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) ) )
= $false )
| ( ( in
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) )
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ ( SV255 @ SX0 ) @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[261:[bind(SV126,$thf( dsetconstr @ SV72 @ ^ [SX0: $i] : ( SV74 @ SX0 ) )),bind(SV73,$thf( SV255 @ ( dsetconstr @ SV72 @ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )),bind(SV127,$thf( ^ [SX0: $i] : ( in @ ( SV255 @ SX0 ) @ SX0 ) ))]]) ).
thf(325,plain,
! [SV256: $i > $i,SV255: $i > $i,SV125: $i,SV126: $i,SV74: $i > $o,SV72: $i,SV73: $i] :
( ( ( in @ SV73 @ SV72 )
= $false )
| ( ( SV74 @ SV73 )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ ( SV255 @ SX0 ) @ ( SV256 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV255 @ SV126 ) @ ( SV256 @ SV126 ) )
= $true )
| ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[261:[bind(SV127,$thf( ^ [SX0: $i] : ( in @ ( SV255 @ SX0 ) @ ( SV256 @ SX0 ) ) ))]]) ).
thf(326,plain,
! [SV256: $i > $i,SV255: $i > $i,SV125: $i,SV126: $i,SV74: $i > $o,SV72: $i,SV73: $i] :
( ( ( in @ SV73 @ SV72 )
= $false )
| ( ( SV74 @ SV73 )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ ( SV255 @ SX0 ) @ ( SV256 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV255 @ SV126 ) @ ( SV256 @ SV126 ) )
= $false )
| ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[261:[bind(SV127,$thf( ^ [SX0: $i] : ( in @ ( SV255 @ SX0 ) @ ( SV256 @ SX0 ) ) ))]]) ).
thf(327,plain,
! [SV127: $i > $o,SV74: $i > $o,SV72: $i,SV73: $i] :
( ( ( in @ SV73 @ SV72 )
= $false )
| ( ( SV74 @ SV73 )
= $false )
| ( ( SV127 @ SV73 )
= $false )
| ( ( ~ ( SV127 @ ( sK30_E @ SV72 @ SV73 @ SV74 @ SV127 ) ) )
= $true )
| ( ( SV74 @ ( sK30_E @ SV72 @ SV73 @ SV74 @ SV127 ) )
= $true ) ),
inference(extuni,[status(esa)],[260:[bind(SV125,$thf( SV72 )),bind(SV126,$thf( SV73 ))]]) ).
thf(328,plain,
! [SV127: $i > $o,SV74: $i > $o,SV72: $i,SV73: $i] :
( ( ( in @ SV73 @ SV72 )
= $false )
| ( ( SV74 @ SV73 )
= $false )
| ( ( SV127 @ SV73 )
= $false )
| ( ( ~ ( SV127 @ ( sK30_E @ SV72 @ SV73 @ SV74 @ SV127 ) ) )
= $false )
| ( ( SV74 @ ( sK30_E @ SV72 @ SV73 @ SV74 @ SV127 ) )
= $false ) ),
inference(extuni,[status(esa)],[260:[bind(SV125,$thf( SV72 )),bind(SV126,$thf( SV73 ))]]) ).
thf(329,plain,
! [SV125: $i,SV127: $i > $o,SV74: $i > $o,SV72: $i,SV73: $i] :
( ( ( in @ SV73 @ SV72 )
= $false )
| ( ( SV74 @ SV73 )
= $false )
| ( ( SV127 @ SV73 )
= $false )
| ( ( ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) )
= ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[260:[bind(SV126,$thf( SV73 ))]]) ).
thf(330,plain,
! [SV125: $i,SV121: $i,SV264: $i > $i] :
( ( ( in @ ( SV264 @ sK1_A )
@ ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
( SX0
!= ( SV264 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[259:[bind(SV126,$thf( sK1_A )),bind(SV122,$thf( SV264 @ sK1_A )),bind(SV127,$thf( ^ [SX0: $i] : ( SX0 = ( SV264 @ SX0 ) ) ))]]) ).
thf(331,plain,
! [SV125: $i,SV121: $i,SV126: $i,SV264: $i > $i] :
( ( ( in @ ( SV264 @ SV126 )
@ ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
( sK1_A
!= ( SV264 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[259:[bind(SV122,$thf( SV264 @ SV126 )),bind(SV127,$thf( ^ [SX0: $i] : ( sK1_A = ( SV264 @ SX0 ) ) ))]]) ).
thf(332,plain,
! [SV125: $i,SV121: $i,SV263: $i > $i] :
( ( ( in @ ( SV263 @ sK1_A )
@ ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
( ( SV263 @ SX0 )
!= SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[259:[bind(SV126,$thf( sK1_A )),bind(SV122,$thf( SV263 @ sK1_A )),bind(SV127,$thf( ^ [SX0: $i] : ( ( SV263 @ SX0 ) = SX0 ) ))]]) ).
thf(333,plain,
! [SV125: $i,SV121: $i,SV126: $i,SV263: $i > $i] :
( ( ( in @ ( SV263 @ SV126 )
@ ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
( ( SV263 @ SX0 )
!= sK1_A ) ) )
= $false ) ),
inference(extuni,[status(esa)],[259:[bind(SV122,$thf( SV263 @ SV126 )),bind(SV127,$thf( ^ [SX0: $i] : ( ( SV263 @ SX0 ) = sK1_A ) ))]]) ).
thf(334,plain,
! [SV264: $i > $i,SV263: $i > $i,SV125: $i,SV126: $i,SV121: $i,SV122: $i] :
( ( ( in @ SV122
@ ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
( ( SV263 @ SX0 )
!= ( SV264 @ SX0 ) ) ) )
= $false )
| ( ( ( SV263 @ SV126 )
= ( SV264 @ SV126 ) )
= $true )
| ( ( SV122 = sK1_A )
= $true ) ),
inference(extuni,[status(esa)],[259:[bind(SV127,$thf( ^ [SX0: $i] : ( ( SV263 @ SX0 ) = ( SV264 @ SX0 ) ) ))]]) ).
thf(335,plain,
! [SV264: $i > $i,SV263: $i > $i,SV125: $i,SV126: $i,SV121: $i,SV122: $i] :
( ( ( in @ SV122
@ ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
( ( SV263 @ SX0 )
!= ( SV264 @ SX0 ) ) ) )
= $false )
| ( ( ( SV263 @ SV126 )
= ( SV264 @ SV126 ) )
= $false )
| ( ( SV122 = sK1_A )
= $false ) ),
inference(extuni,[status(esa)],[259:[bind(SV127,$thf( ^ [SX0: $i] : ( ( SV263 @ SX0 ) = ( SV264 @ SX0 ) ) ))]]) ).
thf(336,plain,
! [SV125: $i,SV123: $i,SV272: $i > $i] :
( ( ( in @ ( SV272 @ sK3_SY20 )
@ ( dsetconstr @ SV123
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
( SX0
!= ( SV272 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[257:[bind(SV126,$thf( sK3_SY20 )),bind(SV124,$thf( SV272 @ sK3_SY20 )),bind(SV127,$thf( ^ [SX0: $i] : ( SX0 = ( SV272 @ SX0 ) ) ))]]) ).
thf(337,plain,
! [SV125: $i,SV123: $i,SV126: $i,SV272: $i > $i] :
( ( ( in @ ( SV272 @ SV126 )
@ ( dsetconstr @ SV123
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
( sK3_SY20
!= ( SV272 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[257:[bind(SV124,$thf( SV272 @ SV126 )),bind(SV127,$thf( ^ [SX0: $i] : ( sK3_SY20 = ( SV272 @ SX0 ) ) ))]]) ).
thf(338,plain,
! [SV125: $i,SV123: $i,SV271: $i > $i] :
( ( ( in @ ( SV271 @ sK3_SY20 )
@ ( dsetconstr @ SV123
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
( ( SV271 @ SX0 )
!= SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[257:[bind(SV126,$thf( sK3_SY20 )),bind(SV124,$thf( SV271 @ sK3_SY20 )),bind(SV127,$thf( ^ [SX0: $i] : ( ( SV271 @ SX0 ) = SX0 ) ))]]) ).
thf(339,plain,
! [SV125: $i,SV123: $i,SV126: $i,SV271: $i > $i] :
( ( ( in @ ( SV271 @ SV126 )
@ ( dsetconstr @ SV123
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
( ( SV271 @ SX0 )
!= sK3_SY20 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[257:[bind(SV124,$thf( SV271 @ SV126 )),bind(SV127,$thf( ^ [SX0: $i] : ( ( SV271 @ SX0 ) = sK3_SY20 ) ))]]) ).
thf(340,plain,
! [SV272: $i > $i,SV271: $i > $i,SV125: $i,SV126: $i,SV123: $i,SV124: $i] :
( ( ( in @ SV124
@ ( dsetconstr @ SV123
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
( ( SV271 @ SX0 )
!= ( SV272 @ SX0 ) ) ) )
= $false )
| ( ( ( SV271 @ SV126 )
= ( SV272 @ SV126 ) )
= $true )
| ( ( SV124 = sK3_SY20 )
= $true ) ),
inference(extuni,[status(esa)],[257:[bind(SV127,$thf( ^ [SX0: $i] : ( ( SV271 @ SX0 ) = ( SV272 @ SX0 ) ) ))]]) ).
thf(341,plain,
! [SV272: $i > $i,SV271: $i > $i,SV125: $i,SV126: $i,SV123: $i,SV124: $i] :
( ( ( in @ SV124
@ ( dsetconstr @ SV123
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
( ( SV271 @ SX0 )
!= ( SV272 @ SX0 ) ) ) )
= $false )
| ( ( ( SV271 @ SV126 )
= ( SV272 @ SV126 ) )
= $false )
| ( ( SV124 = sK3_SY20 )
= $false ) ),
inference(extuni,[status(esa)],[257:[bind(SV127,$thf( ^ [SX0: $i] : ( ( SV271 @ SX0 ) = ( SV272 @ SX0 ) ) ))]]) ).
thf(342,plain,
! [SV125: $i] :
( ( in @ sK6_E
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK6_E ) ) )
= $false ),
inference(extuni,[status(esa)],[274:[bind(SV126,$thf( sK6_E ))]]) ).
thf(343,plain,
! [SV125: $i] :
( ( in @ sK23_E
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK23_E ) ) )
= $false ),
inference(extuni,[status(esa)],[275:[bind(SV126,$thf( sK23_E ))]]) ).
thf(344,plain,
! [SV125: $i] :
( ( in @ sK22_E
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK22_E ) ) )
= $false ),
inference(extuni,[status(esa)],[276:[bind(SV126,$thf( sK22_E ))]]) ).
thf(345,plain,
! [SV125: $i] :
( ( in @ sK18_E
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK18_E ) ) )
= $false ),
inference(extuni,[status(esa)],[277:[bind(SV126,$thf( sK18_E ))]]) ).
thf(346,plain,
! [SV125: $i] :
( ( in @ sK9_E
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK9_E ) ) )
= $false ),
inference(extuni,[status(esa)],[278:[bind(SV126,$thf( sK9_E ))]]) ).
thf(347,plain,
! [SV125: $i] :
( ( in @ sK10_E
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK10_E ) ) )
= $false ),
inference(extuni,[status(esa)],[279:[bind(SV126,$thf( sK10_E ))]]) ).
thf(348,plain,
! [SV125: $i] :
( ( in @ sK20_E
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK20_E ) ) )
= $false ),
inference(extuni,[status(esa)],[280:[bind(SV126,$thf( sK20_E ))]]) ).
thf(349,plain,
! [SV125: $i] :
( ( in @ sK21_E
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK21_E ) ) )
= $false ),
inference(extuni,[status(esa)],[281:[bind(SV126,$thf( sK21_E ))]]) ).
thf(350,plain,
! [SV125: $i] :
( ( in @ sK3_SY20
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK3_SY20 ) ) )
= $false ),
inference(extuni,[status(esa)],[282:[bind(SV126,$thf( sK3_SY20 ))]]) ).
thf(351,plain,
! [SV125: $i] :
( ( in @ sK13_E
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK13_E ) ) )
= $false ),
inference(extuni,[status(esa)],[283:[bind(SV126,$thf( sK13_E ))]]) ).
thf(352,plain,
! [SV125: $i] :
( ( in @ sK1_A
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK1_A ) ) )
= $false ),
inference(extuni,[status(esa)],[284:[bind(SV126,$thf( sK1_A ))]]) ).
thf(353,plain,
! [SV125: $i] :
( ( in @ sK16_E
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK16_E ) ) )
= $false ),
inference(extuni,[status(esa)],[285:[bind(SV126,$thf( sK16_E ))]]) ).
thf(354,plain,
! [SV125: $i] :
( ( in @ sK11_E
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK11_E ) ) )
= $false ),
inference(extuni,[status(esa)],[286:[bind(SV126,$thf( sK11_E ))]]) ).
thf(355,plain,
! [SV125: $i] :
( ( in @ sK14_E
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK14_E ) ) )
= $false ),
inference(extuni,[status(esa)],[287:[bind(SV126,$thf( sK14_E ))]]) ).
thf(356,plain,
! [SV125: $i] :
( ( in @ sK15_E
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK15_E ) ) )
= $false ),
inference(extuni,[status(esa)],[288:[bind(SV126,$thf( sK15_E ))]]) ).
thf(357,plain,
! [SV125: $i] :
( ( in @ sK8_E
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK8_E ) ) )
= $false ),
inference(extuni,[status(esa)],[289:[bind(SV126,$thf( sK8_E ))]]) ).
thf(358,plain,
! [SV125: $i] :
( ( in @ sK17_E
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] : ( SX0 != sK17_E ) ) )
= $false ),
inference(extuni,[status(esa)],[290:[bind(SV126,$thf( sK17_E ))]]) ).
thf(360,plain,
! [SV125: $i,SV280: $i > $i,SV126: $i,SV279: $i > $i] :
( ( ( in @ ( SV279 @ SV126 ) @ ( SV280 @ SV126 ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ ( SV279 @ SX0 ) @ ( SV280 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV279 @ SV126 ) @ ( SV280 @ SV126 ) )
= $false ) ),
inference(extuni,[status(esa)],[293:[bind(SV127,$thf( ^ [SX0: $i] : ( in @ ( SV279 @ SX0 ) @ ( SV280 @ SX0 ) ) ))]]) ).
thf(361,plain,
! [SV127: $i > $o] :
( ( ( SV127 @ ( sK28_E @ SV127 ) )
= $true )
| ( ( SV127 @ sK3_SY20 )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( sK2_SY16 @ ( sK28_E @ SV127 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(362,plain,
! [SV127: $i > $o] :
( ( ( SV127 @ ( sK28_E @ SV127 ) )
= $false )
| ( ( SV127 @ sK3_SY20 )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( sK2_SY16 @ ( sK28_E @ SV127 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(363,plain,
! [SV74: $i > $o,SV125: $i,SV255: $i > $i,SV259: $i > $i,SV126: $i,SV260: $i > $i > $o] :
( ( ( ~ ( ( SV260 @ SV126 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) )
| ( SV74 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) ) )
| ~ ( ~ ( SV260 @ SV126 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) )
| ~ ( SV74 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) ) ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ ( SV255 @ SX0 ) @ ( dsetconstr @ ( SV259 @ SX0 ) @ ( SV260 @ SX0 ) ) ) ) )
= $false )
| ( ( SV74 @ ( SV255 @ SV126 ) )
= $false )
| ( ( in @ ( SV255 @ SV126 ) @ ( SV259 @ SV126 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[322]) ).
thf(364,plain,
! [SV74: $i > $o,SV125: $i,SV255: $i > $i,SV259: $i > $i,SV126: $i,SV260: $i > $i > $o] :
( ( ( ( SV260 @ SV126 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) )
= ( SV74 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ ( SV255 @ SX0 ) @ ( dsetconstr @ ( SV259 @ SX0 ) @ ( SV260 @ SX0 ) ) ) ) )
= $false )
| ( ( SV74 @ ( SV255 @ SV126 ) )
= $false )
| ( ( in @ ( SV255 @ SV126 ) @ ( SV259 @ SV126 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[322]) ).
thf(365,plain,
! [SV74: $i > $o,SV73: $i,SV72: $i,SV127: $i > $o] :
( ( ( SV127 @ ( sK30_E @ SV72 @ SV73 @ SV74 @ SV127 ) )
= $true )
| ( ( SV127 @ SV73 )
= $false )
| ( ( SV74 @ SV73 )
= $false )
| ( ( in @ SV73 @ SV72 )
= $false )
| ( ( SV74 @ ( sK30_E @ SV72 @ SV73 @ SV74 @ SV127 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(366,plain,
! [SV74: $i > $o,SV73: $i,SV72: $i,SV127: $i > $o] :
( ( ( SV127 @ ( sK30_E @ SV72 @ SV73 @ SV74 @ SV127 ) )
= $false )
| ( ( SV127 @ SV73 )
= $false )
| ( ( SV74 @ SV73 )
= $false )
| ( ( in @ SV73 @ SV72 )
= $false )
| ( ( SV74 @ ( sK30_E @ SV72 @ SV73 @ SV74 @ SV127 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(367,plain,
! [SV125: $i,SV126: $i,SV129: $i > $o] :
( ( ( SV129 @ SV126 )
= $true )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ~ ( SV129 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(368,plain,
! [SV155: $i > $o,SV125: $i,SV126: $i,SV154: $i > $o] :
( ( ( SV154 @ SV126 )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( ( SV154 @ SX0 )
| ( SV155 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(369,plain,
! [SV154: $i > $o,SV125: $i,SV126: $i,SV155: $i > $o] :
( ( ( SV155 @ SV126 )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( ( SV154 @ SX0 )
| ( SV155 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(370,plain,
! [SV74: $i > $o,SV125: $i,SV255: $i > $i,SV259: $i > $i,SV126: $i,SV260: $i > $i > $o] :
( ( ( ~ ( ( SV260 @ SV126 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) )
| ( SV74 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) ) ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ ( SV255 @ SX0 ) @ ( dsetconstr @ ( SV259 @ SX0 ) @ ( SV260 @ SX0 ) ) ) ) )
= $false )
| ( ( SV74 @ ( SV255 @ SV126 ) )
= $false )
| ( ( in @ ( SV255 @ SV126 ) @ ( SV259 @ SV126 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[363]) ).
thf(371,plain,
! [SV74: $i > $o,SV125: $i,SV255: $i > $i,SV259: $i > $i,SV126: $i,SV260: $i > $i > $o] :
( ( ( ~ ( ~ ( SV260 @ SV126 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) )
| ~ ( SV74 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) ) ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ ( SV255 @ SX0 ) @ ( dsetconstr @ ( SV259 @ SX0 ) @ ( SV260 @ SX0 ) ) ) ) )
= $false )
| ( ( SV74 @ ( SV255 @ SV126 ) )
= $false )
| ( ( in @ ( SV255 @ SV126 ) @ ( SV259 @ SV126 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[363]) ).
thf(372,plain,
! [SV74: $i > $o,SV125: $i,SV255: $i > $i,SV259: $i > $i,SV126: $i,SV260: $i > $i > $o] :
( ( ( ( SV260 @ SV126 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) )
| ( SV74 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) ) )
= $true )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ ( SV255 @ SX0 ) @ ( dsetconstr @ ( SV259 @ SX0 ) @ ( SV260 @ SX0 ) ) ) ) )
= $false )
| ( ( SV74 @ ( SV255 @ SV126 ) )
= $false )
| ( ( in @ ( SV255 @ SV126 ) @ ( SV259 @ SV126 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(373,plain,
! [SV74: $i > $o,SV125: $i,SV255: $i > $i,SV259: $i > $i,SV126: $i,SV260: $i > $i > $o] :
( ( ( ~ ( SV260 @ SV126 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) )
| ~ ( SV74 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) ) )
= $true )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ ( SV255 @ SX0 ) @ ( dsetconstr @ ( SV259 @ SX0 ) @ ( SV260 @ SX0 ) ) ) ) )
= $false )
| ( ( SV74 @ ( SV255 @ SV126 ) )
= $false )
| ( ( in @ ( SV255 @ SV126 ) @ ( SV259 @ SV126 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(374,plain,
! [SV74: $i > $o,SV125: $i,SV255: $i > $i,SV259: $i > $i,SV126: $i,SV260: $i > $i > $o] :
( ( ( SV260 @ SV126 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) )
= $true )
| ( ( SV74 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) )
= $true )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ ( SV255 @ SX0 ) @ ( dsetconstr @ ( SV259 @ SX0 ) @ ( SV260 @ SX0 ) ) ) ) )
= $false )
| ( ( SV74 @ ( SV255 @ SV126 ) )
= $false )
| ( ( in @ ( SV255 @ SV126 ) @ ( SV259 @ SV126 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(375,plain,
! [SV74: $i > $o,SV125: $i,SV255: $i > $i,SV259: $i > $i,SV126: $i,SV260: $i > $i > $o] :
( ( ( ~ ( SV260 @ SV126 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) ) )
= $true )
| ( ( ~ ( SV74 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) ) )
= $true )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ ( SV255 @ SX0 ) @ ( dsetconstr @ ( SV259 @ SX0 ) @ ( SV260 @ SX0 ) ) ) ) )
= $false )
| ( ( SV74 @ ( SV255 @ SV126 ) )
= $false )
| ( ( in @ ( SV255 @ SV126 ) @ ( SV259 @ SV126 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(376,plain,
! [SV74: $i > $o,SV125: $i,SV255: $i > $i,SV259: $i > $i,SV126: $i,SV260: $i > $i > $o] :
( ( ( SV260 @ SV126 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) )
= $false )
| ( ( ~ ( SV74 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) ) )
= $true )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ ( SV255 @ SX0 ) @ ( dsetconstr @ ( SV259 @ SX0 ) @ ( SV260 @ SX0 ) ) ) ) )
= $false )
| ( ( SV74 @ ( SV255 @ SV126 ) )
= $false )
| ( ( in @ ( SV255 @ SV126 ) @ ( SV259 @ SV126 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(377,plain,
! [SV260: $i > $i > $o,SV126: $i,SV125: $i,SV255: $i > $i,SV259: $i > $i,SV74: $i > $o] :
( ( ( SV74 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) )
= $false )
| ( ( SV260 @ SV126 @ ( sK29_E @ SV259 @ SV255 @ SV125 @ SV74 @ SV126 @ SV260 ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ ( SV255 @ SX0 ) @ ( dsetconstr @ ( SV259 @ SX0 ) @ ( SV260 @ SX0 ) ) ) ) )
= $false )
| ( ( SV74 @ ( SV255 @ SV126 ) )
= $false )
| ( ( in @ ( SV255 @ SV126 ) @ ( SV259 @ SV126 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(378,plain,
! [SV125: $i,SV280: $i > $i,SV126: $i,SV279: $i > $i] :
( ( ( in @ ( SV279 @ SV126 ) @ ( SV280 @ SV126 ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( in @ ( SV279 @ SX0 ) @ ( SV280 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[360]) ).
thf(379,plain,
! [SV281: $i,SV282: $i,SV283: $i > $o] :
( ( ( SV283 @ SV282 )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(rename,[status(thm)],[99]) ).
thf(384,plain,
! [SV281: $i,SV282: $i,SV283: $i > $o,SV125: $i,SV126: $i,SV127: $i > $o] :
( ( ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) ) ) )
= $false )
| ( ( SV283 @ SV282 )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV127 @ SV126 )
= $false ) ),
inference(res,[status(thm)],[379,255]) ).
thf(385,plain,
! [SV281: $i,SV282: $i,SV283: $i > $o,SV125: $i,SV126: $i,SV127: $i > $o] :
( ( ( ( SV283 @ SV282 )
= ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) ) ) )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV127 @ SV126 )
= $false ) ),
inference(res,[status(thm)],[379,255]) ).
thf(389,plain,
! [SV281: $i,SV282: $i,SV283: $i > $o,SV123: $i,SV124: $i] :
( ( ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= ( in @ SV124
@ ( dsetconstr @ SV123
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) ) )
= $false )
| ( ( SV283 @ SV282 )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV124 = sK3_SY20 )
= $true ) ),
inference(res,[status(thm)],[379,233]) ).
thf(390,plain,
! [SV281: $i,SV282: $i,SV283: $i > $o,SV123: $i,SV124: $i] :
( ( ( ( SV283 @ SV282 )
= ( in @ SV124
@ ( dsetconstr @ SV123
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) ) )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV124 = sK3_SY20 )
= $true ) ),
inference(res,[status(thm)],[379,233]) ).
thf(392,plain,
! [SV281: $i,SV282: $i,SV283: $i > $o,SV121: $i,SV122: $i] :
( ( ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= ( in @ SV122
@ ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) ) )
= $false )
| ( ( SV283 @ SV282 )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV122 = sK1_A )
= $true ) ),
inference(res,[status(thm)],[379,213]) ).
thf(393,plain,
! [SV281: $i,SV282: $i,SV283: $i > $o,SV121: $i,SV122: $i] :
( ( ( ( SV283 @ SV282 )
= ( in @ SV122
@ ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) ) )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV122 = sK1_A )
= $true ) ),
inference(res,[status(thm)],[379,213]) ).
thf(394,plain,
! [SV281: $i,SV282: $i,SV283: $i > $o,SV72: $i,SV73: $i,SV74: $i > $o] :
( ( ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= ( in @ SV73 @ SV72 ) )
= $false )
| ( ( SV283 @ SV282 )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV74 @ SV73 )
= $false )
| ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[379,141]) ).
thf(395,plain,
! [SV281: $i,SV282: $i,SV283: $i > $o,SV72: $i,SV73: $i,SV74: $i > $o] :
( ( ( ( SV283 @ SV282 )
= ( in @ SV73 @ SV72 ) )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV74 @ SV73 )
= $false )
| ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[379,141]) ).
thf(396,plain,
! [SV281: $i,SV282: $i,SV283: $i > $o,SV72: $i,SV73: $i,SV74: $i > $o] :
( ( ( ( in @ SV282 @ SV281 )
= ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) ) )
= $false )
| ( ( SV283 @ SV282 )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= $true )
| ( ( SV74 @ SV73 )
= $false )
| ( ( in @ SV73 @ SV72 )
= $false ) ),
inference(res,[status(thm)],[379,141]) ).
thf(400,plain,
! [SV281: $i,SV282: $i,SV283: $i > $o,SV26: $i > $o,SV27: $i,SV28: $i] :
( ( ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] : ( SV26 @ SX0 ) ) ) )
= $false )
| ( ( SV283 @ SV282 )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV26 @ SV28 )
= $true ) ),
inference(res,[status(thm)],[379,109]) ).
thf(401,plain,
! [SV281: $i,SV282: $i,SV283: $i > $o,SV26: $i > $o,SV27: $i,SV28: $i] :
( ( ( ( SV283 @ SV282 )
= ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] : ( SV26 @ SX0 ) ) ) )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV26 @ SV28 )
= $true ) ),
inference(res,[status(thm)],[379,109]) ).
thf(403,plain,
! [SV281: $i,SV282: $i,SV283: $i > $o] :
( ( ( ( SV283 @ SV282 )
= ( sK2_SY16 @ sK3_SY20 ) )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $false ) ),
inference(res,[status(thm)],[379,40]) ).
thf(404,plain,
! [SV281: $i,SV282: $i,SV283: $i > $o] :
( ( ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) )
= $false )
| ( ( SV283 @ SV282 )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $false ) ),
inference(res,[status(thm)],[379,40]) ).
thf(405,plain,
! [SV281: $i,SV282: $i,SV283: $i > $o] :
( ( ( ( SV283 @ SV282 )
= ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $false ) ),
inference(res,[status(thm)],[379,40]) ).
thf(406,plain,
! [SV281: $i,SV282: $i,SV283: $i > $o] :
( ( ( ( in @ SV282 @ SV281 )
= ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) ) )
= $false )
| ( ( SV283 @ SV282 )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= $true )
| ( ( sK2_SY16 @ sK3_SY20 )
= $true ) ),
inference(res,[status(thm)],[379,38]) ).
thf(408,plain,
! [SV281: $i,SV282: $i,SV283: $i > $o] :
( ( ( ( in @ SV282 @ SV281 )
= ( in @ sK3_SY20 @ sK1_A ) )
= $false )
| ( ( SV283 @ SV282 )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[379,24]) ).
thf(410,plain,
! [SV281: $i,SV282: $i] :
( ( $false = $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] : ~ $false ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(prim_subst,[status(thm)],[379:[bind(SV283,$thf( ^ [SV286: $i] : $false ))]]) ).
thf(411,plain,
! [SV281: $i,SV282: $i] :
( ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] : ~ $false ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(sim,[status(thm)],[410]) ).
thf(412,plain,
! [SV281: $i,SV282: $i,SV285: $i > $o] :
( ( ( ~ ( SV285 @ SV282 ) )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ~ ( SV285 @ SX0 ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(prim_subst,[status(thm)],[379:[bind(SV283,$thf( ^ [SV284: $i] : ~ ( SV285 @ SV284 ) ))]]) ).
thf(413,plain,
! [SV281: $i,SV282: $i] :
( ( ( SV282 = sK23_E )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] : ( SX0 != sK23_E ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(prim_subst,[status(thm)],[379:[bind(SV283,$thf( ^ [SV288: $i] : ( SV288 = sK23_E ) ))]]) ).
thf(414,plain,
! [SV281: $i,SV282: $i] :
( ( ( SV282 = sK22_E )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] : ( SX0 != sK22_E ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(prim_subst,[status(thm)],[379:[bind(SV283,$thf( ^ [SV289: $i] : ( SV289 = sK22_E ) ))]]) ).
thf(415,plain,
! [SV281: $i,SV282: $i] :
( ( ( SV282 = sK18_E )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] : ( SX0 != sK18_E ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(prim_subst,[status(thm)],[379:[bind(SV283,$thf( ^ [SV290: $i] : ( SV290 = sK18_E ) ))]]) ).
thf(416,plain,
! [SV281: $i,SV282: $i] :
( ( ( SV282 = sK9_E )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] : ( SX0 != sK9_E ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(prim_subst,[status(thm)],[379:[bind(SV283,$thf( ^ [SV291: $i] : ( SV291 = sK9_E ) ))]]) ).
thf(417,plain,
! [SV281: $i,SV282: $i] :
( ( ( SV282 = sK10_E )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] : ( SX0 != sK10_E ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(prim_subst,[status(thm)],[379:[bind(SV283,$thf( ^ [SV292: $i] : ( SV292 = sK10_E ) ))]]) ).
thf(418,plain,
! [SV281: $i,SV282: $i] :
( ( ( SV282 = sK21_E )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] : ( SX0 != sK21_E ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(prim_subst,[status(thm)],[379:[bind(SV283,$thf( ^ [SV293: $i] : ( SV293 = sK21_E ) ))]]) ).
thf(419,plain,
! [SV281: $i,SV282: $i] :
( ( ( SV282 = sK3_SY20 )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] : ( SX0 != sK3_SY20 ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(prim_subst,[status(thm)],[379:[bind(SV283,$thf( ^ [SV294: $i] : ( SV294 = sK3_SY20 ) ))]]) ).
thf(420,plain,
! [SV281: $i,SV282: $i] :
( ( ( SV282 = sK1_A )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] : ( SX0 != sK1_A ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(prim_subst,[status(thm)],[379:[bind(SV283,$thf( ^ [SV295: $i] : ( SV295 = sK1_A ) ))]]) ).
thf(421,plain,
! [SV281: $i,SV282: $i] :
( ( ( SV282 = sK16_E )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] : ( SX0 != sK16_E ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(prim_subst,[status(thm)],[379:[bind(SV283,$thf( ^ [SV296: $i] : ( SV296 = sK16_E ) ))]]) ).
thf(422,plain,
! [SV281: $i,SV282: $i] :
( ( ( SV282 = sK14_E )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] : ( SX0 != sK14_E ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(prim_subst,[status(thm)],[379:[bind(SV283,$thf( ^ [SV297: $i] : ( SV297 = sK14_E ) ))]]) ).
thf(423,plain,
! [SV281: $i,SV282: $i] :
( ( ( SV282 = sK15_E )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] : ( SX0 != sK15_E ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(prim_subst,[status(thm)],[379:[bind(SV283,$thf( ^ [SV298: $i] : ( SV298 = sK15_E ) ))]]) ).
thf(424,plain,
! [SV281: $i,SV282: $i] :
( ( ( SV282 = sK8_E )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] : ( SX0 != sK8_E ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(prim_subst,[status(thm)],[379:[bind(SV283,$thf( ^ [SV299: $i] : ( SV299 = sK8_E ) ))]]) ).
thf(425,plain,
! [SV281: $i,SV282: $i] :
( ( ( SV282 = sK17_E )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] : ( SX0 != sK17_E ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(prim_subst,[status(thm)],[379:[bind(SV283,$thf( ^ [SV300: $i] : ( SV300 = sK17_E ) ))]]) ).
thf(426,plain,
! [SV281: $i,SV282: $i] :
( ( ( SV282 = sK6_E )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] : ( SX0 != sK6_E ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(prim_subst,[status(thm)],[379:[bind(SV283,$thf( ^ [SV301: $i] : ( SV301 = sK6_E ) ))]]) ).
thf(427,plain,
! [SV281: $i,SV282: $i] :
( ( ( SV282 = sK20_E )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] : ( SX0 != sK20_E ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(prim_subst,[status(thm)],[379:[bind(SV283,$thf( ^ [SV302: $i] : ( SV302 = sK20_E ) ))]]) ).
thf(428,plain,
! [SV281: $i,SV282: $i] :
( ( ( SV282 = sK13_E )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] : ( SX0 != sK13_E ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(prim_subst,[status(thm)],[379:[bind(SV283,$thf( ^ [SV303: $i] : ( SV303 = sK13_E ) ))]]) ).
thf(429,plain,
! [SV281: $i,SV282: $i] :
( ( ( SV282 = sK11_E )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] : ( SX0 != sK11_E ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(prim_subst,[status(thm)],[379:[bind(SV283,$thf( ^ [SV304: $i] : ( SV304 = sK11_E ) ))]]) ).
thf(430,plain,
! [SV281: $i,SV311: $i > $o,SV282: $i,SV310: $i > $o] :
( ( ( ( SV310 @ SV282 )
| ( SV311 @ SV282 ) )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( ( SV310 @ SX0 )
| ( SV311 @ SX0 ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(prim_subst,[status(thm)],[379:[bind(SV283,$thf( ^ [SV309: $i] : ( ( SV310 @ SV309 ) | ( SV311 @ SV309 ) ) ))]]) ).
thf(431,plain,
! [SV281: $i,SV308: $i > $i,SV282: $i,SV307: $i > $i] :
( ( ( ( SV307 @ SV282 )
= ( SV308 @ SV282 ) )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
( ( SV307 @ SX0 )
!= ( SV308 @ SX0 ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(prim_subst,[status(thm)],[379:[bind(SV283,$thf( ^ [SV306: $i] : ( ( SV307 @ SV306 ) = ( SV308 @ SV306 ) ) ))]]) ).
thf(432,plain,
! [SV283: $i > $o] :
( ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= $true )
| ( ( SV283 @ sK3_SY20 )
= $true ) ),
inference(extuni,[status(esa)],[408:[bind(SV281,$thf( sK1_A )),bind(SV282,$thf( sK3_SY20 ))]]) ).
thf(433,plain,
! [SV283: $i > $o] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $true )
| ( ( in @ sK3_SY20
@ ( dsetconstr
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) )
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= $true )
| ( ( SV283 @ sK3_SY20 )
= $true ) ),
inference(extuni,[status(esa)],[406:[bind(SV281,$thf( dsetconstr @ sK1_A @ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) )),bind(SV282,$thf( sK3_SY20 ))]]) ).
thf(434,plain,
! [SV387: $i > $i > $i,SV281: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( in @ sK3_SY20 @ SV281 )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY16 @ ( SV387 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY16
@ ( SV387 @ sK3_SY20
@ ( sK34_E @ SV281
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV387 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY16
@ ( sK34_E @ SV281
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV387 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( sK3_SY20 = sK1_A )
= $false ) ),
inference(extuni,[status(esa)],[405:[bind(SV282,$thf( sK3_SY20 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY16 @ ( SV387 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(435,plain,
! [SV387: $i > $i > $i,SV281: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( in @ sK3_SY20 @ SV281 )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY16 @ ( SV387 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY16
@ ( SV387 @ sK3_SY20
@ ( sK34_E @ SV281
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV387 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY16
@ ( sK34_E @ SV281
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV387 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK3_SY20 = sK1_A )
= $false ) ),
inference(extuni,[status(esa)],[405:[bind(SV282,$thf( sK3_SY20 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY16 @ ( SV387 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(436,plain,
! [SV376: $i > $i > $i,SV281: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( in @ sK3_SY20 @ SV281 )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ sK1_A
@ ^ [SX1: $i] : ( sK2_SY16 @ ( SV376 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY16
@ ( SV376 @ sK3_SY20
@ ( sK33_E @ SV281
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV376 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY16
@ ( sK33_E @ SV281
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV376 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[405:[bind(SV282,$thf( sK3_SY20 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ sK1_A @ ^ [SX1: $i] : ( sK2_SY16 @ ( SV376 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(437,plain,
! [SV376: $i > $i > $i,SV281: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( in @ sK3_SY20 @ SV281 )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ sK1_A
@ ^ [SX1: $i] : ( sK2_SY16 @ ( SV376 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY16
@ ( SV376 @ sK3_SY20
@ ( sK33_E @ SV281
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV376 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY16
@ ( sK33_E @ SV281
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV376 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[405:[bind(SV282,$thf( sK3_SY20 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ sK1_A @ ^ [SX1: $i] : ( sK2_SY16 @ ( SV376 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(438,plain,
! [SV369: $i > $i > $o,SV368: $i > $i,SV281: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( in @ sK3_SY20 @ SV281 )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ SX0 @ ( dsetconstr @ ( SV368 @ SX0 ) @ ( SV369 @ SX0 ) ) ) ) )
= $true )
| ( ( ( dsetconstr @ ( SV368 @ sK3_SY20 ) @ ( SV369 @ sK3_SY20 ) )
= ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[405:[bind(SV282,$thf( sK3_SY20 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ ( SV368 @ SX0 ) @ ( SV369 @ SX0 ) ) ) ))]]) ).
thf(439,plain,
! [SV281: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( in @ sK3_SY20 @ SV281 )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( sK3_SY20
= ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[405:[bind(SV282,$thf( sK3_SY20 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ))]]) ).
thf(440,plain,
! [SV359: $i > $i > $i,SV281: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( in @ sK1_A @ SV281 )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ sK3_SY20
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY16 @ ( SV359 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY16
@ ( SV359 @ sK1_A
@ ( sK32_E @ SV281
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV359 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY16
@ ( sK32_E @ SV281
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV359 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[405:[bind(SV282,$thf( sK1_A )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ sK3_SY20 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY16 @ ( SV359 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(441,plain,
! [SV359: $i > $i > $i,SV281: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( in @ sK1_A @ SV281 )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ sK3_SY20
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY16 @ ( SV359 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY16
@ ( SV359 @ sK1_A
@ ( sK32_E @ SV281
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV359 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY16
@ ( sK32_E @ SV281
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV359 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[405:[bind(SV282,$thf( sK1_A )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ sK3_SY20 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY16 @ ( SV359 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(442,plain,
! [SV347: $i > $i > $i,SV281: $i,SV282: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX1: $i] : ( sK2_SY16 @ ( SV347 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY16
@ ( SV347 @ SV282
@ ( sK31_E @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV347 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY16
@ ( sK31_E @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV347 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[405:[bind(SV283,$thf( ^ [SX0: $i] : ( in @ sK3_SY20 @ ( dsetconstr @ sK1_A @ ^ [SX1: $i] : ( sK2_SY16 @ ( SV347 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(443,plain,
! [SV347: $i > $i > $i,SV281: $i,SV282: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX1: $i] : ( sK2_SY16 @ ( SV347 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY16
@ ( SV347 @ SV282
@ ( sK31_E @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV347 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY16
@ ( sK31_E @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY16 @ ( SV347 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[405:[bind(SV283,$thf( ^ [SX0: $i] : ( in @ sK3_SY20 @ ( dsetconstr @ sK1_A @ ^ [SX1: $i] : ( sK2_SY16 @ ( SV347 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(444,plain,
! [SV340: $i > $i > $o,SV339: $i > $i,SV281: $i,SV282: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ sK3_SY20 @ ( dsetconstr @ ( SV339 @ SX0 ) @ ( SV340 @ SX0 ) ) ) ) )
= $true )
| ( ( ( dsetconstr @ ( SV339 @ SV282 ) @ ( SV340 @ SV282 ) )
= ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[405:[bind(SV283,$thf( ^ [SX0: $i] : ( in @ sK3_SY20 @ ( dsetconstr @ ( SV339 @ SX0 ) @ ( SV340 @ SX0 ) ) ) ))]]) ).
thf(445,plain,
! [SV281: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( in
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) )
@ SV281 )
= $false )
| ( ( in
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) )
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ sK3_SY20 @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[405:[bind(SV282,$thf( dsetconstr @ sK1_A @ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ sK3_SY20 @ SX0 ) ))]]) ).
thf(446,plain,
! [SV334: $i > $i,SV333: $i > $i,SV281: $i,SV282: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV333 @ SX0 ) @ ( SV334 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV333 @ SV282 ) @ ( SV334 @ SV282 ) )
= $true )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[405:[bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV333 @ SX0 ) @ ( SV334 @ SX0 ) ) ))]]) ).
thf(447,plain,
! [SV334: $i > $i,SV333: $i > $i,SV281: $i,SV282: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV333 @ SX0 ) @ ( SV334 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV333 @ SV282 ) @ ( SV334 @ SV282 ) )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[405:[bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV333 @ SX0 ) @ ( SV334 @ SX0 ) ) ))]]) ).
thf(448,plain,
! [SV283: $i > $o] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( in @ sK3_SY20 @ sK1_A )
= $false )
| ( ( SV283 @ sK3_SY20 )
= $true )
| ( ( ~ ( SV283 @ ( sK35_E @ SV283 ) ) )
= $true )
| ( ( sK2_SY16 @ ( sK35_E @ SV283 ) )
= $true ) ),
inference(extuni,[status(esa)],[404:[bind(SV281,$thf( sK1_A )),bind(SV282,$thf( sK3_SY20 ))]]) ).
thf(449,plain,
! [SV283: $i > $o] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( in @ sK3_SY20 @ sK1_A )
= $false )
| ( ( SV283 @ sK3_SY20 )
= $true )
| ( ( ~ ( SV283 @ ( sK35_E @ SV283 ) ) )
= $false )
| ( ( sK2_SY16 @ ( sK35_E @ SV283 ) )
= $false ) ),
inference(extuni,[status(esa)],[404:[bind(SV281,$thf( sK1_A )),bind(SV282,$thf( sK3_SY20 ))]]) ).
thf(450,plain,
! [SV283: $i > $o,SV281: $i] :
( ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( in @ sK3_SY20 @ SV281 )
= $false )
| ( ( SV283 @ sK3_SY20 )
= $true )
| ( ( ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) )
= ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[404:[bind(SV282,$thf( sK3_SY20 ))]]) ).
thf(451,plain,
! [SV281: $i] :
( ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SY20 @ SV281 )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( sK2_SY16 @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[403:[bind(SV282,$thf( sK3_SY20 )),bind(SV283,$thf( ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ))]]) ).
thf(452,plain,
! [SV281: $i,SV282: $i] :
( ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $false )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( sK2_SY16 @ sK3_SY20 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[403:[bind(SV283,$thf( ^ [SX0: $i] : ( sK2_SY16 @ sK3_SY20 ) ))]]) ).
thf(453,plain,
! [SV396: $i > $i,SV281: $i,SV282: $i] :
( ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $false )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( sK2_SY16 @ ( SV396 @ SX0 ) ) ) )
= $true )
| ( ( sK2_SY16 @ ( SV396 @ SV282 ) )
= $true )
| ( ( sK2_SY16 @ sK3_SY20 )
= $true ) ),
inference(extuni,[status(esa)],[403:[bind(SV283,$thf( ^ [SX0: $i] : ( sK2_SY16 @ ( SV396 @ SX0 ) ) ))]]) ).
thf(454,plain,
! [SV396: $i > $i,SV281: $i,SV282: $i] :
( ( ( in @ sK3_SY20
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY16 @ SX0 ) ) )
= $false )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( sK2_SY16 @ ( SV396 @ SX0 ) ) ) )
= $true )
| ( ( sK2_SY16 @ ( SV396 @ SV282 ) )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $false ) ),
inference(extuni,[status(esa)],[403:[bind(SV283,$thf( ^ [SX0: $i] : ( sK2_SY16 @ ( SV396 @ SX0 ) ) ))]]) ).
thf(455,plain,
! [SV26: $i > $o,SV281: $i,SV401: $i > $i,SV405: $i > $i,SV282: $i,SV406: $i > $i > $o] :
( ( ( SV26 @ ( SV401 @ SV282 ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV401 @ SX0 ) @ ( dsetconstr @ ( SV405 @ SX0 ) @ ( SV406 @ SX0 ) ) ) ) )
= $true )
| ( ( ( SV406 @ SV282 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) )
= ( SV26 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[401:[bind(SV27,$thf( SV405 @ SV282 )),bind(SV28,$thf( SV401 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV401 @ SX0 ) @ ( dsetconstr @ ( SV405 @ SX0 ) @ ( SV406 @ SX0 ) ) ) ))]]) ).
thf(456,plain,
! [SV27: $i,SV406: $i > $i > $o,SV405: $i > $i,SV281: $i,SV282: $i,SV401: $i > $i,SV26: $i > $o] :
( ( ( SV26 @ ( SV401 @ SV282 ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV401 @ SX0 ) @ ( dsetconstr @ ( SV405 @ SX0 ) @ ( SV406 @ SX0 ) ) ) ) )
= $true )
| ( ( ( dsetconstr @ ( SV405 @ SV282 ) @ ( SV406 @ SV282 ) )
= ( dsetconstr @ SV27
@ ^ [SX0: $i] : ( SV26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[401:[bind(SV28,$thf( SV401 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV401 @ SX0 ) @ ( dsetconstr @ ( SV405 @ SX0 ) @ ( SV406 @ SX0 ) ) ) ))]]) ).
thf(457,plain,
! [SV281: $i,SV27: $i,SV401: $i > $i,SV26: $i > $o] :
( ( ( SV26
@ ( SV401
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] : ( SV26 @ SX0 ) ) ) )
= $true )
| ( ( in
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] : ( SV26 @ SX0 ) )
@ SV281 )
= $false )
| ( ( in
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] : ( SV26 @ SX0 ) )
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV401 @ SX0 ) @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[401:[bind(SV282,$thf( dsetconstr @ SV27 @ ^ [SX0: $i] : ( SV26 @ SX0 ) )),bind(SV28,$thf( SV401 @ ( dsetconstr @ SV27 @ ^ [SX0: $i] : ( SV26 @ SX0 ) ) )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV401 @ SX0 ) @ SX0 ) ))]]) ).
thf(458,plain,
! [SV27: $i,SV402: $i > $i,SV401: $i > $i,SV281: $i,SV282: $i,SV28: $i,SV26: $i > $o] :
( ( ( SV26 @ SV28 )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV401 @ SX0 ) @ ( SV402 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV401 @ SV282 ) @ ( SV402 @ SV282 ) )
= $true )
| ( ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] : ( SV26 @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[401:[bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV401 @ SX0 ) @ ( SV402 @ SX0 ) ) ))]]) ).
thf(459,plain,
! [SV27: $i,SV402: $i > $i,SV401: $i > $i,SV281: $i,SV282: $i,SV28: $i,SV26: $i > $o] :
( ( ( SV26 @ SV28 )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV401 @ SX0 ) @ ( SV402 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV401 @ SV282 ) @ ( SV402 @ SV282 ) )
= $false )
| ( ( in @ SV28
@ ( dsetconstr @ SV27
@ ^ [SX0: $i] : ( SV26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[401:[bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV401 @ SX0 ) @ ( SV402 @ SX0 ) ) ))]]) ).
thf(460,plain,
! [SV283: $i > $o,SV27: $i,SV28: $i,SV26: $i > $o] :
( ( ( SV26 @ SV28 )
= $true )
| ( ( in @ SV28 @ SV27 )
= $false )
| ( ( SV283 @ SV28 )
= $true )
| ( ( ~ ( SV283 @ ( sK37_E @ SV27 @ SV28 @ SV26 @ SV283 ) ) )
= $true )
| ( ( SV26 @ ( sK37_E @ SV27 @ SV28 @ SV26 @ SV283 ) )
= $true ) ),
inference(extuni,[status(esa)],[400:[bind(SV281,$thf( SV27 )),bind(SV282,$thf( SV28 ))]]) ).
thf(461,plain,
! [SV283: $i > $o,SV27: $i,SV28: $i,SV26: $i > $o] :
( ( ( SV26 @ SV28 )
= $true )
| ( ( in @ SV28 @ SV27 )
= $false )
| ( ( SV283 @ SV28 )
= $true )
| ( ( ~ ( SV283 @ ( sK37_E @ SV27 @ SV28 @ SV26 @ SV283 ) ) )
= $false )
| ( ( SV26 @ ( sK37_E @ SV27 @ SV28 @ SV26 @ SV283 ) )
= $false ) ),
inference(extuni,[status(esa)],[400:[bind(SV281,$thf( SV27 )),bind(SV282,$thf( SV28 ))]]) ).
thf(462,plain,
! [SV27: $i,SV283: $i > $o,SV281: $i,SV28: $i,SV26: $i > $o] :
( ( ( SV26 @ SV28 )
= $true )
| ( ( in @ SV28 @ SV281 )
= $false )
| ( ( SV283 @ SV28 )
= $true )
| ( ( ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) )
= ( dsetconstr @ SV27
@ ^ [SX0: $i] : ( SV26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[400:[bind(SV282,$thf( SV28 ))]]) ).
thf(463,plain,
! [SV283: $i > $o,SV74: $i > $o,SV72: $i,SV73: $i] :
( ( ( in @ SV73 @ SV72 )
= $false )
| ( ( SV74 @ SV73 )
= $false )
| ( ( in @ SV73
@ ( dsetconstr
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) )
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= $true )
| ( ( SV283 @ SV73 )
= $true ) ),
inference(extuni,[status(esa)],[396:[bind(SV281,$thf( dsetconstr @ SV72 @ ^ [SX0: $i] : ( SV74 @ SX0 ) )),bind(SV282,$thf( SV73 ))]]) ).
thf(464,plain,
! [SV281: $i,SV74: $i > $o,SV410: $i > $i,SV282: $i,SV409: $i > $i] :
( ( ( in @ ( SV409 @ SV282 )
@ ( dsetconstr @ ( SV410 @ SV282 )
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )
= $true )
| ( ( SV74 @ ( SV409 @ SV282 ) )
= $false )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV409 @ SX0 ) @ ( SV410 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[395:[bind(SV72,$thf( SV410 @ SV282 )),bind(SV73,$thf( SV409 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV409 @ SX0 ) @ ( SV410 @ SX0 ) ) ))]]) ).
thf(465,plain,
! [SV410: $i > $i,SV409: $i > $i,SV281: $i,SV282: $i,SV74: $i > $o,SV72: $i,SV73: $i] :
( ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )
= $true )
| ( ( SV74 @ SV73 )
= $false )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV409 @ SX0 ) @ ( SV410 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV409 @ SV282 ) @ ( SV410 @ SV282 ) )
= $true )
| ( ( in @ SV73 @ SV72 )
= $true ) ),
inference(extuni,[status(esa)],[395:[bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV409 @ SX0 ) @ ( SV410 @ SX0 ) ) ))]]) ).
thf(466,plain,
! [SV410: $i > $i,SV409: $i > $i,SV281: $i,SV282: $i,SV74: $i > $o,SV72: $i,SV73: $i] :
( ( ( in @ SV73
@ ( dsetconstr @ SV72
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )
= $true )
| ( ( SV74 @ SV73 )
= $false )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV409 @ SX0 ) @ ( SV410 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV409 @ SV282 ) @ ( SV410 @ SV282 ) )
= $false )
| ( ( in @ SV73 @ SV72 )
= $false ) ),
inference(extuni,[status(esa)],[395:[bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV409 @ SX0 ) @ ( SV410 @ SX0 ) ) ))]]) ).
thf(467,plain,
! [SV74: $i > $o,SV283: $i > $o,SV281: $i,SV73: $i] :
( ( ( in @ SV73
@ ( dsetconstr
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) )
@ ^ [SX0: $i] : ( SV74 @ SX0 ) ) )
= $true )
| ( ( SV74 @ SV73 )
= $false )
| ( ( in @ SV73 @ SV281 )
= $false )
| ( ( SV283 @ SV73 )
= $true ) ),
inference(extuni,[status(esa)],[394:[bind(SV72,$thf( dsetconstr @ SV281 @ ^ [SX0: $i] : ~ ( SV283 @ SX0 ) )),bind(SV282,$thf( SV73 ))]]) ).
thf(468,plain,
! [SV433: $i > $i > $i > $i > $o,SV432: $i > $i > $i,SV431: $i > $i > $i,SV430: $i > $i > $i > $i,SV429: $i > $i > $i > $i,SV417: $i > $i,SV281: $i,SV282: $i,SV413: $i > $i] :
( ( ( ( SV413 @ SV282 )
= sK1_A )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV413 @ SX0 )
@ ( dsetconstr @ ( SV417 @ SX0 )
@ ^ [SX1: $i] :
( SX1
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) )
= sK1_A )
= $false )
| ( ( ( sK38_E
@ ( SV429 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) )
@ ( SV430 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) )
@ ( SV431 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) )
@ ( SV432 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) )
@ ( SV433 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[393:[bind(SV121,$thf( SV417 @ SV282 )),bind(SV122,$thf( SV413 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV413 @ SX0 ) @ ( dsetconstr @ ( SV417 @ SX0 ) @ ^ [SX1: $i] : ( SX1 = ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(469,plain,
! [SV433: $i > $i > $i > $i > $o,SV432: $i > $i > $i,SV431: $i > $i > $i,SV430: $i > $i > $i > $i,SV429: $i > $i > $i > $i,SV417: $i > $i,SV281: $i,SV413: $i > $i] :
( ( ( ( SV413 @ sK1_A )
= sK1_A )
= $true )
| ( ( in @ sK1_A @ SV281 )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV413 @ SX0 )
@ ( dsetconstr @ ( SV417 @ SX0 )
@ ^ [SX1: $i] :
( SX0
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( sK38_E
@ ( SV429 @ sK1_A
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) )
@ ( SV430 @ sK1_A
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) )
@ ( SV431 @ sK1_A
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) )
@ ( SV432 @ sK1_A
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) )
@ ( SV433 @ sK1_A
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK38_E @ SV417 @ SV413 @ SV281 @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[393:[bind(SV282,$thf( sK1_A )),bind(SV121,$thf( SV417 @ sK1_A )),bind(SV122,$thf( SV413 @ sK1_A )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV413 @ SX0 ) @ ( dsetconstr @ ( SV417 @ SX0 ) @ ^ [SX1: $i] : ( SX0 = ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(470,plain,
! [SV433: $i > $i > $i > $i > $o,SV432: $i > $i > $i,SV431: $i > $i > $i,SV430: $i > $i > $i > $i,SV429: $i > $i > $i > $i,SV417: $i > $i,SV281: $i,SV282: $i,SV413: $i > $i] :
( ( ( ( SV413 @ SV282 )
= sK1_A )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV413 @ SX0 )
@ ( dsetconstr @ ( SV417 @ SX0 )
@ ^ [SX1: $i] :
( sK1_A
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( sK38_E
@ ( SV429 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( sK1_A
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) )
@ ( SV430 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( sK1_A
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) )
@ ( SV431 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( sK1_A
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) )
@ ( SV432 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( sK1_A
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) )
@ ( SV433 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( sK1_A
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( sK1_A
= ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[393:[bind(SV121,$thf( SV417 @ SV282 )),bind(SV122,$thf( SV413 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV413 @ SX0 ) @ ( dsetconstr @ ( SV417 @ SX0 ) @ ^ [SX1: $i] : ( sK1_A = ( sK38_E @ ( SV429 @ SX0 @ SX1 ) @ ( SV430 @ SX0 @ SX1 ) @ ( SV431 @ SX0 @ SX1 ) @ ( SV432 @ SX0 @ SX1 ) @ ( SV433 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(471,plain,
! [SV417: $i > $i,SV281: $i,SV282: $i,SV413: $i > $i] :
( ( ( ( SV413 @ SV282 )
= sK1_A )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV413 @ SX0 )
@ ( dsetconstr @ ( SV417 @ SX0 )
@ ^ [SX1: $i] : ( SX1 = SX1 ) ) ) ) )
= $true )
| ( ( ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX1 ) )
= sK1_A )
= $false ) ),
inference(extuni,[status(esa)],[393:[bind(SV121,$thf( SV417 @ SV282 )),bind(SV122,$thf( SV413 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV413 @ SX0 ) @ ( dsetconstr @ ( SV417 @ SX0 ) @ ^ [SX1: $i] : ( SX1 = SX1 ) ) ) ))]]) ).
thf(472,plain,
! [SV417: $i > $i,SV281: $i,SV413: $i > $i] :
( ( ( ( SV413 @ sK1_A )
= sK1_A )
= $true )
| ( ( in @ sK1_A @ SV281 )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV413 @ SX0 )
@ ( dsetconstr @ ( SV417 @ SX0 )
@ ^ [SX1: $i] : ( SX0 = SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[393:[bind(SV282,$thf( sK1_A )),bind(SV121,$thf( SV417 @ sK1_A )),bind(SV122,$thf( SV413 @ sK1_A )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV413 @ SX0 ) @ ( dsetconstr @ ( SV417 @ SX0 ) @ ^ [SX1: $i] : ( SX0 = SX1 ) ) ) ))]]) ).
thf(473,plain,
! [SV417: $i > $i,SV281: $i,SV282: $i,SV413: $i > $i] :
( ( ( ( SV413 @ SV282 )
= sK1_A )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV413 @ SX0 )
@ ( dsetconstr @ ( SV417 @ SX0 )
@ ^ [SX1: $i] : ( sK1_A = SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[393:[bind(SV121,$thf( SV417 @ SV282 )),bind(SV122,$thf( SV413 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV413 @ SX0 ) @ ( dsetconstr @ ( SV417 @ SX0 ) @ ^ [SX1: $i] : ( sK1_A = SX1 ) ) ) ))]]) ).
thf(474,plain,
! [SV450: $i > $i > $i > $i > $o,SV449: $i > $i > $i,SV448: $i > $i > $i,SV447: $i > $i > $i > $i,SV446: $i > $i > $i > $i,SV417: $i > $i,SV281: $i,SV282: $i,SV413: $i > $i] :
( ( ( ( SV413 @ SV282 )
= sK1_A )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV413 @ SX0 )
@ ( dsetconstr @ ( SV417 @ SX0 )
@ ^ [SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= $true )
| ( ( ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= SX1 ) )
= sK1_A )
= $false )
| ( ( ( sK38_E
@ ( SV446 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= SX1 ) ) )
@ ( SV447 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= SX1 ) ) )
@ ( SV448 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= SX1 ) ) )
@ ( SV449 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= SX1 ) ) )
@ ( SV450 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[393:[bind(SV121,$thf( SV417 @ SV282 )),bind(SV122,$thf( SV413 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV413 @ SX0 ) @ ( dsetconstr @ ( SV417 @ SX0 ) @ ^ [SX1: $i] : ( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) ) = SX1 ) ) ) ))]]) ).
thf(475,plain,
! [SV450: $i > $i > $i > $i > $o,SV449: $i > $i > $i,SV448: $i > $i > $i,SV447: $i > $i > $i > $i,SV446: $i > $i > $i > $i,SV417: $i > $i,SV281: $i,SV413: $i > $i] :
( ( ( ( SV413 @ sK1_A )
= sK1_A )
= $true )
| ( ( in @ sK1_A @ SV281 )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV413 @ SX0 )
@ ( dsetconstr @ ( SV417 @ SX0 )
@ ^ [SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= $true )
| ( ( ( sK38_E
@ ( SV446 @ sK1_A
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= SX0 ) ) )
@ ( SV447 @ sK1_A
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= SX0 ) ) )
@ ( SV448 @ sK1_A
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= SX0 ) ) )
@ ( SV449 @ sK1_A
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= SX0 ) ) )
@ ( SV450 @ sK1_A
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= ( sK38_E @ SV417 @ SV413 @ SV281 @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[393:[bind(SV282,$thf( sK1_A )),bind(SV121,$thf( SV417 @ sK1_A )),bind(SV122,$thf( SV413 @ sK1_A )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV413 @ SX0 ) @ ( dsetconstr @ ( SV417 @ SX0 ) @ ^ [SX1: $i] : ( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) ) = SX0 ) ) ) ))]]) ).
thf(476,plain,
! [SV450: $i > $i > $i > $i > $o,SV449: $i > $i > $i,SV448: $i > $i > $i,SV447: $i > $i > $i > $i,SV446: $i > $i > $i > $i,SV417: $i > $i,SV281: $i,SV282: $i,SV413: $i > $i] :
( ( ( ( SV413 @ SV282 )
= sK1_A )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV413 @ SX0 )
@ ( dsetconstr @ ( SV417 @ SX0 )
@ ^ [SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= sK1_A ) ) ) ) )
= $true )
| ( ( ( sK38_E
@ ( SV446 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= sK1_A ) ) )
@ ( SV447 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= sK1_A ) ) )
@ ( SV448 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= sK1_A ) ) )
@ ( SV449 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= sK1_A ) ) )
@ ( SV450 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= sK1_A ) ) ) )
= ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) )
= sK1_A ) ) )
= $false ) ),
inference(extuni,[status(esa)],[393:[bind(SV121,$thf( SV417 @ SV282 )),bind(SV122,$thf( SV413 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV413 @ SX0 ) @ ( dsetconstr @ ( SV417 @ SX0 ) @ ^ [SX1: $i] : ( ( sK38_E @ ( SV446 @ SX0 @ SX1 ) @ ( SV447 @ SX0 @ SX1 ) @ ( SV448 @ SX0 @ SX1 ) @ ( SV449 @ SX0 @ SX1 ) @ ( SV450 @ SX0 @ SX1 ) ) = sK1_A ) ) ) ))]]) ).
thf(477,plain,
! [SV417: $i > $i,SV281: $i,SV282: $i,SV413: $i > $i] :
( ( ( ( SV413 @ SV282 )
= sK1_A )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV413 @ SX0 )
@ ( dsetconstr @ ( SV417 @ SX0 )
@ ^ [SX1: $i] : ( SX1 = SX1 ) ) ) ) )
= $true )
| ( ( ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX1 ) )
= sK1_A )
= $false ) ),
inference(extuni,[status(esa)],[393:[bind(SV121,$thf( SV417 @ SV282 )),bind(SV122,$thf( SV413 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV413 @ SX0 ) @ ( dsetconstr @ ( SV417 @ SX0 ) @ ^ [SX1: $i] : ( SX1 = SX1 ) ) ) ))]]) ).
thf(478,plain,
! [SV417: $i > $i,SV281: $i,SV413: $i > $i] :
( ( ( ( SV413 @ sK1_A )
= sK1_A )
= $true )
| ( ( in @ sK1_A @ SV281 )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV413 @ SX0 )
@ ( dsetconstr @ ( SV417 @ SX0 )
@ ^ [SX1: $i] : ( SX1 = SX0 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[393:[bind(SV282,$thf( sK1_A )),bind(SV121,$thf( SV417 @ sK1_A )),bind(SV122,$thf( SV413 @ sK1_A )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV413 @ SX0 ) @ ( dsetconstr @ ( SV417 @ SX0 ) @ ^ [SX1: $i] : ( SX1 = SX0 ) ) ) ))]]) ).
thf(479,plain,
! [SV417: $i > $i,SV281: $i,SV282: $i,SV413: $i > $i] :
( ( ( ( SV413 @ SV282 )
= sK1_A )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV413 @ SX0 )
@ ( dsetconstr @ ( SV417 @ SX0 )
@ ^ [SX1: $i] : ( SX1 = sK1_A ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[393:[bind(SV121,$thf( SV417 @ SV282 )),bind(SV122,$thf( SV413 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV413 @ SX0 ) @ ( dsetconstr @ ( SV417 @ SX0 ) @ ^ [SX1: $i] : ( SX1 = sK1_A ) ) ) ))]]) ).
thf(480,plain,
! [SV424: $i > $i > $i,SV423: $i > $i > $i,SV417: $i > $i,SV281: $i,SV282: $i,SV413: $i > $i] :
( ( ( ( SV413 @ SV282 )
= sK1_A )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV413 @ SX0 )
@ ( dsetconstr @ ( SV417 @ SX0 )
@ ^ [SX1: $i] :
( ( SV423 @ SX0 @ SX1 )
= ( SV424 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( ( SV423 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( SV423 @ SX0 @ SX1 )
= ( SV424 @ SX0 @ SX1 ) ) ) )
= ( SV424 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( SV423 @ SX0 @ SX1 )
= ( SV424 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( SV423 @ SX0 @ SX1 )
= ( SV424 @ SX0 @ SX1 ) ) )
= sK1_A )
= $true ) ),
inference(extuni,[status(esa)],[393:[bind(SV121,$thf( SV417 @ SV282 )),bind(SV122,$thf( SV413 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV413 @ SX0 ) @ ( dsetconstr @ ( SV417 @ SX0 ) @ ^ [SX1: $i] : ( ( SV423 @ SX0 @ SX1 ) = ( SV424 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(481,plain,
! [SV424: $i > $i > $i,SV423: $i > $i > $i,SV417: $i > $i,SV281: $i,SV282: $i,SV413: $i > $i] :
( ( ( ( SV413 @ SV282 )
= sK1_A )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV413 @ SX0 )
@ ( dsetconstr @ ( SV417 @ SX0 )
@ ^ [SX1: $i] :
( ( SV423 @ SX0 @ SX1 )
= ( SV424 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( ( SV423 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( SV423 @ SX0 @ SX1 )
= ( SV424 @ SX0 @ SX1 ) ) ) )
= ( SV424 @ SV282
@ ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( SV423 @ SX0 @ SX1 )
= ( SV424 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK38_E @ SV417 @ SV413 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( SV423 @ SX0 @ SX1 )
= ( SV424 @ SX0 @ SX1 ) ) )
= sK1_A )
= $false ) ),
inference(extuni,[status(esa)],[393:[bind(SV121,$thf( SV417 @ SV282 )),bind(SV122,$thf( SV413 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV413 @ SX0 ) @ ( dsetconstr @ ( SV417 @ SX0 ) @ ^ [SX1: $i] : ( ( SV423 @ SX0 @ SX1 ) = ( SV424 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(482,plain,
! [SV121: $i,SV418: $i > $i > $o,SV417: $i > $i,SV281: $i,SV282: $i,SV413: $i > $i] :
( ( ( ( SV413 @ SV282 )
= sK1_A )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV413 @ SX0 ) @ ( dsetconstr @ ( SV417 @ SX0 ) @ ( SV418 @ SX0 ) ) ) ) )
= $true )
| ( ( ( dsetconstr @ ( SV417 @ SV282 ) @ ( SV418 @ SV282 ) )
= ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $false ) ),
inference(extuni,[status(esa)],[393:[bind(SV122,$thf( SV413 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV413 @ SX0 ) @ ( dsetconstr @ ( SV417 @ SX0 ) @ ( SV418 @ SX0 ) ) ) ))]]) ).
thf(483,plain,
! [SV281: $i,SV121: $i,SV413: $i > $i] :
( ( ( ( SV413
@ ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= sK1_A )
= $true )
| ( ( in
@ ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) )
@ SV281 )
= $false )
| ( ( in
@ ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) )
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV413 @ SX0 ) @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[393:[bind(SV282,$thf( dsetconstr @ SV121 @ ^ [SX0: $i] : ( SX0 = sK1_A ) )),bind(SV122,$thf( SV413 @ ( dsetconstr @ SV121 @ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV413 @ SX0 ) @ SX0 ) ))]]) ).
thf(484,plain,
! [SV121: $i,SV414: $i > $i,SV413: $i > $i,SV281: $i,SV282: $i,SV122: $i] :
( ( ( SV122 = sK1_A )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV413 @ SX0 ) @ ( SV414 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV413 @ SV282 ) @ ( SV414 @ SV282 ) )
= $true )
| ( ( in @ SV122
@ ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $true ) ),
inference(extuni,[status(esa)],[393:[bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV413 @ SX0 ) @ ( SV414 @ SX0 ) ) ))]]) ).
thf(485,plain,
! [SV121: $i,SV414: $i > $i,SV413: $i > $i,SV281: $i,SV282: $i,SV122: $i] :
( ( ( SV122 = sK1_A )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV413 @ SX0 ) @ ( SV414 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV413 @ SV282 ) @ ( SV414 @ SV282 ) )
= $false )
| ( ( in @ SV122
@ ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $false ) ),
inference(extuni,[status(esa)],[393:[bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV413 @ SX0 ) @ ( SV414 @ SX0 ) ) ))]]) ).
thf(486,plain,
! [SV283: $i > $o,SV121: $i,SV122: $i] :
( ( ( SV122 = sK1_A )
= $true )
| ( ( in @ SV122 @ SV121 )
= $false )
| ( ( SV283 @ SV122 )
= $true )
| ( ( ~ ( SV283 @ ( sK39_E @ SV121 @ SV122 @ SV283 ) ) )
= $true )
| ( ( ( sK39_E @ SV121 @ SV122 @ SV283 )
= sK1_A )
= $true ) ),
inference(extuni,[status(esa)],[392:[bind(SV281,$thf( SV121 )),bind(SV282,$thf( SV122 ))]]) ).
thf(487,plain,
! [SV283: $i > $o,SV121: $i,SV122: $i] :
( ( ( SV122 = sK1_A )
= $true )
| ( ( in @ SV122 @ SV121 )
= $false )
| ( ( SV283 @ SV122 )
= $true )
| ( ( ~ ( SV283 @ ( sK39_E @ SV121 @ SV122 @ SV283 ) ) )
= $false )
| ( ( ( sK39_E @ SV121 @ SV122 @ SV283 )
= sK1_A )
= $false ) ),
inference(extuni,[status(esa)],[392:[bind(SV281,$thf( SV121 )),bind(SV282,$thf( SV122 ))]]) ).
thf(488,plain,
! [SV121: $i,SV283: $i > $o,SV281: $i,SV122: $i] :
( ( ( SV122 = sK1_A )
= $true )
| ( ( in @ SV122 @ SV281 )
= $false )
| ( ( SV283 @ SV122 )
= $true )
| ( ( ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) )
= ( dsetconstr @ SV121
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $false ) ),
inference(extuni,[status(esa)],[392:[bind(SV282,$thf( SV122 ))]]) ).
thf(489,plain,
! [SV481: $i > $i > $i > $i > $o,SV480: $i > $i > $i,SV479: $i > $i > $i,SV478: $i > $i > $i > $i,SV477: $i > $i > $i > $i,SV465: $i > $i,SV281: $i,SV282: $i,SV461: $i > $i] :
( ( ( ( SV461 @ SV282 )
= sK3_SY20 )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV461 @ SX0 )
@ ( dsetconstr @ ( SV465 @ SX0 )
@ ^ [SX1: $i] :
( SX1
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) )
= sK3_SY20 )
= $false )
| ( ( ( sK40_E
@ ( SV477 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) )
@ ( SV478 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) )
@ ( SV479 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) )
@ ( SV480 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) )
@ ( SV481 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( SX1
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[390:[bind(SV123,$thf( SV465 @ SV282 )),bind(SV124,$thf( SV461 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV461 @ SX0 ) @ ( dsetconstr @ ( SV465 @ SX0 ) @ ^ [SX1: $i] : ( SX1 = ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(490,plain,
! [SV481: $i > $i > $i > $i > $o,SV480: $i > $i > $i,SV479: $i > $i > $i,SV478: $i > $i > $i > $i,SV477: $i > $i > $i > $i,SV465: $i > $i,SV281: $i,SV461: $i > $i] :
( ( ( ( SV461 @ sK3_SY20 )
= sK3_SY20 )
= $true )
| ( ( in @ sK3_SY20 @ SV281 )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV461 @ SX0 )
@ ( dsetconstr @ ( SV465 @ SX0 )
@ ^ [SX1: $i] :
( SX0
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( sK40_E
@ ( SV477 @ sK3_SY20
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ sK3_SY20
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) )
@ ( SV478 @ sK3_SY20
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ sK3_SY20
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) )
@ ( SV479 @ sK3_SY20
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ sK3_SY20
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) )
@ ( SV480 @ sK3_SY20
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ sK3_SY20
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) )
@ ( SV481 @ sK3_SY20
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ sK3_SY20
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK40_E @ SV465 @ SV461 @ SV281 @ sK3_SY20
@ ^ [SX0: $i,SX1: $i] :
( SX0
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[390:[bind(SV282,$thf( sK3_SY20 )),bind(SV123,$thf( SV465 @ sK3_SY20 )),bind(SV124,$thf( SV461 @ sK3_SY20 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV461 @ SX0 ) @ ( dsetconstr @ ( SV465 @ SX0 ) @ ^ [SX1: $i] : ( SX0 = ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(491,plain,
! [SV481: $i > $i > $i > $i > $o,SV480: $i > $i > $i,SV479: $i > $i > $i,SV478: $i > $i > $i > $i,SV477: $i > $i > $i > $i,SV465: $i > $i,SV281: $i,SV282: $i,SV461: $i > $i] :
( ( ( ( SV461 @ SV282 )
= sK3_SY20 )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV461 @ SX0 )
@ ( dsetconstr @ ( SV465 @ SX0 )
@ ^ [SX1: $i] :
( sK3_SY20
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( sK40_E
@ ( SV477 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY20
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) )
@ ( SV478 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY20
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) )
@ ( SV479 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY20
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) )
@ ( SV480 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY20
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) )
@ ( SV481 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY20
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( sK3_SY20
= ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[390:[bind(SV123,$thf( SV465 @ SV282 )),bind(SV124,$thf( SV461 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV461 @ SX0 ) @ ( dsetconstr @ ( SV465 @ SX0 ) @ ^ [SX1: $i] : ( sK3_SY20 = ( sK40_E @ ( SV477 @ SX0 @ SX1 ) @ ( SV478 @ SX0 @ SX1 ) @ ( SV479 @ SX0 @ SX1 ) @ ( SV480 @ SX0 @ SX1 ) @ ( SV481 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(492,plain,
! [SV465: $i > $i,SV281: $i,SV282: $i,SV461: $i > $i] :
( ( ( ( SV461 @ SV282 )
= sK3_SY20 )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV461 @ SX0 )
@ ( dsetconstr @ ( SV465 @ SX0 )
@ ^ [SX1: $i] : ( SX1 = SX1 ) ) ) ) )
= $true )
| ( ( ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX1 ) )
= sK3_SY20 )
= $false ) ),
inference(extuni,[status(esa)],[390:[bind(SV123,$thf( SV465 @ SV282 )),bind(SV124,$thf( SV461 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV461 @ SX0 ) @ ( dsetconstr @ ( SV465 @ SX0 ) @ ^ [SX1: $i] : ( SX1 = SX1 ) ) ) ))]]) ).
thf(493,plain,
! [SV465: $i > $i,SV281: $i,SV461: $i > $i] :
( ( ( ( SV461 @ sK3_SY20 )
= sK3_SY20 )
= $true )
| ( ( in @ sK3_SY20 @ SV281 )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV461 @ SX0 )
@ ( dsetconstr @ ( SV465 @ SX0 )
@ ^ [SX1: $i] : ( SX0 = SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[390:[bind(SV282,$thf( sK3_SY20 )),bind(SV123,$thf( SV465 @ sK3_SY20 )),bind(SV124,$thf( SV461 @ sK3_SY20 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV461 @ SX0 ) @ ( dsetconstr @ ( SV465 @ SX0 ) @ ^ [SX1: $i] : ( SX0 = SX1 ) ) ) ))]]) ).
thf(494,plain,
! [SV465: $i > $i,SV281: $i,SV282: $i,SV461: $i > $i] :
( ( ( ( SV461 @ SV282 )
= sK3_SY20 )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV461 @ SX0 )
@ ( dsetconstr @ ( SV465 @ SX0 )
@ ^ [SX1: $i] : ( sK3_SY20 = SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[390:[bind(SV123,$thf( SV465 @ SV282 )),bind(SV124,$thf( SV461 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV461 @ SX0 ) @ ( dsetconstr @ ( SV465 @ SX0 ) @ ^ [SX1: $i] : ( sK3_SY20 = SX1 ) ) ) ))]]) ).
thf(495,plain,
! [SV498: $i > $i > $i > $i > $o,SV497: $i > $i > $i,SV496: $i > $i > $i,SV495: $i > $i > $i > $i,SV494: $i > $i > $i > $i,SV465: $i > $i,SV281: $i,SV282: $i,SV461: $i > $i] :
( ( ( ( SV461 @ SV282 )
= sK3_SY20 )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV461 @ SX0 )
@ ( dsetconstr @ ( SV465 @ SX0 )
@ ^ [SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= SX1 ) ) ) ) )
= $true )
| ( ( ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= SX1 ) )
= sK3_SY20 )
= $false )
| ( ( ( sK40_E
@ ( SV494 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= SX1 ) ) )
@ ( SV495 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= SX1 ) ) )
@ ( SV496 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= SX1 ) ) )
@ ( SV497 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= SX1 ) ) )
@ ( SV498 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[390:[bind(SV123,$thf( SV465 @ SV282 )),bind(SV124,$thf( SV461 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV461 @ SX0 ) @ ( dsetconstr @ ( SV465 @ SX0 ) @ ^ [SX1: $i] : ( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) ) = SX1 ) ) ) ))]]) ).
thf(496,plain,
! [SV498: $i > $i > $i > $i > $o,SV497: $i > $i > $i,SV496: $i > $i > $i,SV495: $i > $i > $i > $i,SV494: $i > $i > $i > $i,SV465: $i > $i,SV281: $i,SV461: $i > $i] :
( ( ( ( SV461 @ sK3_SY20 )
= sK3_SY20 )
= $true )
| ( ( in @ sK3_SY20 @ SV281 )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV461 @ SX0 )
@ ( dsetconstr @ ( SV465 @ SX0 )
@ ^ [SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= SX0 ) ) ) ) )
= $true )
| ( ( ( sK40_E
@ ( SV494 @ sK3_SY20
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ sK3_SY20
@ ^ [SX0: $i,SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= SX0 ) ) )
@ ( SV495 @ sK3_SY20
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ sK3_SY20
@ ^ [SX0: $i,SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= SX0 ) ) )
@ ( SV496 @ sK3_SY20
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ sK3_SY20
@ ^ [SX0: $i,SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= SX0 ) ) )
@ ( SV497 @ sK3_SY20
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ sK3_SY20
@ ^ [SX0: $i,SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= SX0 ) ) )
@ ( SV498 @ sK3_SY20
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ sK3_SY20
@ ^ [SX0: $i,SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= ( sK40_E @ SV465 @ SV461 @ SV281 @ sK3_SY20
@ ^ [SX0: $i,SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[390:[bind(SV282,$thf( sK3_SY20 )),bind(SV123,$thf( SV465 @ sK3_SY20 )),bind(SV124,$thf( SV461 @ sK3_SY20 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV461 @ SX0 ) @ ( dsetconstr @ ( SV465 @ SX0 ) @ ^ [SX1: $i] : ( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) ) = SX0 ) ) ) ))]]) ).
thf(497,plain,
! [SV498: $i > $i > $i > $i > $o,SV497: $i > $i > $i,SV496: $i > $i > $i,SV495: $i > $i > $i > $i,SV494: $i > $i > $i > $i,SV465: $i > $i,SV281: $i,SV282: $i,SV461: $i > $i] :
( ( ( ( SV461 @ SV282 )
= sK3_SY20 )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV461 @ SX0 )
@ ( dsetconstr @ ( SV465 @ SX0 )
@ ^ [SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= sK3_SY20 ) ) ) ) )
= $true )
| ( ( ( sK40_E
@ ( SV494 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= sK3_SY20 ) ) )
@ ( SV495 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= sK3_SY20 ) ) )
@ ( SV496 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= sK3_SY20 ) ) )
@ ( SV497 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= sK3_SY20 ) ) )
@ ( SV498 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= sK3_SY20 ) ) ) )
= ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) )
= sK3_SY20 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[390:[bind(SV123,$thf( SV465 @ SV282 )),bind(SV124,$thf( SV461 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV461 @ SX0 ) @ ( dsetconstr @ ( SV465 @ SX0 ) @ ^ [SX1: $i] : ( ( sK40_E @ ( SV494 @ SX0 @ SX1 ) @ ( SV495 @ SX0 @ SX1 ) @ ( SV496 @ SX0 @ SX1 ) @ ( SV497 @ SX0 @ SX1 ) @ ( SV498 @ SX0 @ SX1 ) ) = sK3_SY20 ) ) ) ))]]) ).
thf(498,plain,
! [SV465: $i > $i,SV281: $i,SV282: $i,SV461: $i > $i] :
( ( ( ( SV461 @ SV282 )
= sK3_SY20 )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV461 @ SX0 )
@ ( dsetconstr @ ( SV465 @ SX0 )
@ ^ [SX1: $i] : ( SX1 = SX1 ) ) ) ) )
= $true )
| ( ( ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] : ( SX1 = SX1 ) )
= sK3_SY20 )
= $false ) ),
inference(extuni,[status(esa)],[390:[bind(SV123,$thf( SV465 @ SV282 )),bind(SV124,$thf( SV461 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV461 @ SX0 ) @ ( dsetconstr @ ( SV465 @ SX0 ) @ ^ [SX1: $i] : ( SX1 = SX1 ) ) ) ))]]) ).
thf(499,plain,
! [SV465: $i > $i,SV281: $i,SV461: $i > $i] :
( ( ( ( SV461 @ sK3_SY20 )
= sK3_SY20 )
= $true )
| ( ( in @ sK3_SY20 @ SV281 )
= $false )
| ( ( in @ sK3_SY20
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV461 @ SX0 )
@ ( dsetconstr @ ( SV465 @ SX0 )
@ ^ [SX1: $i] : ( SX1 = SX0 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[390:[bind(SV282,$thf( sK3_SY20 )),bind(SV123,$thf( SV465 @ sK3_SY20 )),bind(SV124,$thf( SV461 @ sK3_SY20 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV461 @ SX0 ) @ ( dsetconstr @ ( SV465 @ SX0 ) @ ^ [SX1: $i] : ( SX1 = SX0 ) ) ) ))]]) ).
thf(500,plain,
! [SV465: $i > $i,SV281: $i,SV282: $i,SV461: $i > $i] :
( ( ( ( SV461 @ SV282 )
= sK3_SY20 )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV461 @ SX0 )
@ ( dsetconstr @ ( SV465 @ SX0 )
@ ^ [SX1: $i] : ( SX1 = sK3_SY20 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[390:[bind(SV123,$thf( SV465 @ SV282 )),bind(SV124,$thf( SV461 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV461 @ SX0 ) @ ( dsetconstr @ ( SV465 @ SX0 ) @ ^ [SX1: $i] : ( SX1 = sK3_SY20 ) ) ) ))]]) ).
thf(501,plain,
! [SV472: $i > $i > $i,SV471: $i > $i > $i,SV465: $i > $i,SV281: $i,SV282: $i,SV461: $i > $i] :
( ( ( ( SV461 @ SV282 )
= sK3_SY20 )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV461 @ SX0 )
@ ( dsetconstr @ ( SV465 @ SX0 )
@ ^ [SX1: $i] :
( ( SV471 @ SX0 @ SX1 )
= ( SV472 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( ( SV471 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( SV471 @ SX0 @ SX1 )
= ( SV472 @ SX0 @ SX1 ) ) ) )
= ( SV472 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( SV471 @ SX0 @ SX1 )
= ( SV472 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( SV471 @ SX0 @ SX1 )
= ( SV472 @ SX0 @ SX1 ) ) )
= sK3_SY20 )
= $true ) ),
inference(extuni,[status(esa)],[390:[bind(SV123,$thf( SV465 @ SV282 )),bind(SV124,$thf( SV461 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV461 @ SX0 ) @ ( dsetconstr @ ( SV465 @ SX0 ) @ ^ [SX1: $i] : ( ( SV471 @ SX0 @ SX1 ) = ( SV472 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(502,plain,
! [SV472: $i > $i > $i,SV471: $i > $i > $i,SV465: $i > $i,SV281: $i,SV282: $i,SV461: $i > $i] :
( ( ( ( SV461 @ SV282 )
= sK3_SY20 )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV461 @ SX0 )
@ ( dsetconstr @ ( SV465 @ SX0 )
@ ^ [SX1: $i] :
( ( SV471 @ SX0 @ SX1 )
= ( SV472 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( ( SV471 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( SV471 @ SX0 @ SX1 )
= ( SV472 @ SX0 @ SX1 ) ) ) )
= ( SV472 @ SV282
@ ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( SV471 @ SX0 @ SX1 )
= ( SV472 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK40_E @ SV465 @ SV461 @ SV281 @ SV282
@ ^ [SX0: $i,SX1: $i] :
( ( SV471 @ SX0 @ SX1 )
= ( SV472 @ SX0 @ SX1 ) ) )
= sK3_SY20 )
= $false ) ),
inference(extuni,[status(esa)],[390:[bind(SV123,$thf( SV465 @ SV282 )),bind(SV124,$thf( SV461 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV461 @ SX0 ) @ ( dsetconstr @ ( SV465 @ SX0 ) @ ^ [SX1: $i] : ( ( SV471 @ SX0 @ SX1 ) = ( SV472 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(503,plain,
! [SV123: $i,SV466: $i > $i > $o,SV465: $i > $i,SV281: $i,SV282: $i,SV461: $i > $i] :
( ( ( ( SV461 @ SV282 )
= sK3_SY20 )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV461 @ SX0 ) @ ( dsetconstr @ ( SV465 @ SX0 ) @ ( SV466 @ SX0 ) ) ) ) )
= $true )
| ( ( ( dsetconstr @ ( SV465 @ SV282 ) @ ( SV466 @ SV282 ) )
= ( dsetconstr @ SV123
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[390:[bind(SV124,$thf( SV461 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV461 @ SX0 ) @ ( dsetconstr @ ( SV465 @ SX0 ) @ ( SV466 @ SX0 ) ) ) ))]]) ).
thf(504,plain,
! [SV281: $i,SV123: $i,SV461: $i > $i] :
( ( ( ( SV461
@ ( dsetconstr @ SV123
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) )
= sK3_SY20 )
= $true )
| ( ( in
@ ( dsetconstr @ SV123
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) )
@ SV281 )
= $false )
| ( ( in
@ ( dsetconstr @ SV123
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) )
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV461 @ SX0 ) @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[390:[bind(SV282,$thf( dsetconstr @ SV123 @ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) )),bind(SV124,$thf( SV461 @ ( dsetconstr @ SV123 @ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV461 @ SX0 ) @ SX0 ) ))]]) ).
thf(505,plain,
! [SV123: $i,SV462: $i > $i,SV461: $i > $i,SV281: $i,SV282: $i,SV124: $i] :
( ( ( SV124 = sK3_SY20 )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV461 @ SX0 ) @ ( SV462 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV461 @ SV282 ) @ ( SV462 @ SV282 ) )
= $true )
| ( ( in @ SV124
@ ( dsetconstr @ SV123
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[390:[bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV461 @ SX0 ) @ ( SV462 @ SX0 ) ) ))]]) ).
thf(506,plain,
! [SV123: $i,SV462: $i > $i,SV461: $i > $i,SV281: $i,SV282: $i,SV124: $i] :
( ( ( SV124 = sK3_SY20 )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV461 @ SX0 ) @ ( SV462 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV461 @ SV282 ) @ ( SV462 @ SV282 ) )
= $false )
| ( ( in @ SV124
@ ( dsetconstr @ SV123
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[390:[bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV461 @ SX0 ) @ ( SV462 @ SX0 ) ) ))]]) ).
thf(507,plain,
! [SV283: $i > $o,SV123: $i,SV124: $i] :
( ( ( SV124 = sK3_SY20 )
= $true )
| ( ( in @ SV124 @ SV123 )
= $false )
| ( ( SV283 @ SV124 )
= $true )
| ( ( ~ ( SV283 @ ( sK41_E @ SV123 @ SV124 @ SV283 ) ) )
= $true )
| ( ( ( sK41_E @ SV123 @ SV124 @ SV283 )
= sK3_SY20 )
= $true ) ),
inference(extuni,[status(esa)],[389:[bind(SV281,$thf( SV123 )),bind(SV282,$thf( SV124 ))]]) ).
thf(508,plain,
! [SV283: $i > $o,SV123: $i,SV124: $i] :
( ( ( SV124 = sK3_SY20 )
= $true )
| ( ( in @ SV124 @ SV123 )
= $false )
| ( ( SV283 @ SV124 )
= $true )
| ( ( ~ ( SV283 @ ( sK41_E @ SV123 @ SV124 @ SV283 ) ) )
= $false )
| ( ( ( sK41_E @ SV123 @ SV124 @ SV283 )
= sK3_SY20 )
= $false ) ),
inference(extuni,[status(esa)],[389:[bind(SV281,$thf( SV123 )),bind(SV282,$thf( SV124 ))]]) ).
thf(509,plain,
! [SV123: $i,SV283: $i > $o,SV281: $i,SV124: $i] :
( ( ( SV124 = sK3_SY20 )
= $true )
| ( ( in @ SV124 @ SV281 )
= $false )
| ( ( SV283 @ SV124 )
= $true )
| ( ( ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) )
= ( dsetconstr @ SV123
@ ^ [SX0: $i] : ( SX0 = sK3_SY20 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[389:[bind(SV282,$thf( SV124 ))]]) ).
thf(510,plain,
! [SV127: $i > $o,SV281: $i,SV509: $i > $i,SV513: $i > $i,SV282: $i,SV519: $i > $i > $o] :
( ( ( SV127 @ ( SV509 @ SV282 ) )
= $false )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV509 @ SX0 )
@ ( dsetconstr @ ( SV513 @ SX0 )
@ ^ [SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV519 @ SV282
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) )
= ( SV127
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[385:[bind(SV125,$thf( SV513 @ SV282 )),bind(SV126,$thf( SV509 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV509 @ SX0 ) @ ( dsetconstr @ ( SV513 @ SX0 ) @ ^ [SX1: $i] : ~ ( SV519 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(511,plain,
! [SV519: $i > $i > $o,SV513: $i > $i,SV281: $i,SV282: $i,SV509: $i > $i,SV127: $i > $o] :
( ( ( SV127 @ ( SV509 @ SV282 ) )
= $false )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV509 @ SX0 )
@ ( dsetconstr @ ( SV513 @ SX0 )
@ ^ [SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV519 @ SV282
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( SV127
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[385:[bind(SV125,$thf( SV513 @ SV282 )),bind(SV126,$thf( SV509 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV509 @ SX0 ) @ ( dsetconstr @ ( SV513 @ SX0 ) @ ^ [SX1: $i] : ~ ( SV519 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(512,plain,
! [SV519: $i > $i > $o,SV513: $i > $i,SV281: $i,SV282: $i,SV509: $i > $i,SV127: $i > $o] :
( ( ( SV127 @ ( SV509 @ SV282 ) )
= $false )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV509 @ SX0 )
@ ( dsetconstr @ ( SV513 @ SX0 )
@ ^ [SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ( SV519 @ SV282
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV127
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[385:[bind(SV125,$thf( SV513 @ SV282 )),bind(SV126,$thf( SV509 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV509 @ SX0 ) @ ( dsetconstr @ ( SV513 @ SX0 ) @ ^ [SX1: $i] : ~ ( SV519 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(513,plain,
! [SV125: $i,SV514: $i > $i > $o,SV513: $i > $i,SV281: $i,SV282: $i,SV509: $i > $i,SV127: $i > $o] :
( ( ( SV127 @ ( SV509 @ SV282 ) )
= $false )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV509 @ SX0 ) @ ( dsetconstr @ ( SV513 @ SX0 ) @ ( SV514 @ SX0 ) ) ) ) )
= $true )
| ( ( ( dsetconstr @ ( SV513 @ SV282 ) @ ( SV514 @ SV282 ) )
= ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[385:[bind(SV126,$thf( SV509 @ SV282 )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV509 @ SX0 ) @ ( dsetconstr @ ( SV513 @ SX0 ) @ ( SV514 @ SX0 ) ) ) ))]]) ).
thf(514,plain,
! [SV281: $i,SV125: $i,SV509: $i > $i,SV127: $i > $o] :
( ( ( SV127
@ ( SV509
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) ) ) )
= $false )
| ( ( in
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) )
@ SV281 )
= $false )
| ( ( in
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) )
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV509 @ SX0 ) @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[385:[bind(SV282,$thf( dsetconstr @ SV125 @ ^ [SX0: $i] : ~ ( SV127 @ SX0 ) )),bind(SV126,$thf( SV509 @ ( dsetconstr @ SV125 @ ^ [SX0: $i] : ~ ( SV127 @ SX0 ) ) )),bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV509 @ SX0 ) @ SX0 ) ))]]) ).
thf(515,plain,
! [SV125: $i,SV510: $i > $i,SV509: $i > $i,SV281: $i,SV282: $i,SV126: $i,SV127: $i > $o] :
( ( ( SV127 @ SV126 )
= $false )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV509 @ SX0 ) @ ( SV510 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV509 @ SV282 ) @ ( SV510 @ SV282 ) )
= $true )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[385:[bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV509 @ SX0 ) @ ( SV510 @ SX0 ) ) ))]]) ).
thf(516,plain,
! [SV125: $i,SV510: $i > $i,SV509: $i > $i,SV281: $i,SV282: $i,SV126: $i,SV127: $i > $o] :
( ( ( SV127 @ SV126 )
= $false )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV509 @ SX0 ) @ ( SV510 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV509 @ SV282 ) @ ( SV510 @ SV282 ) )
= $false )
| ( ( in @ SV126
@ ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[385:[bind(SV283,$thf( ^ [SX0: $i] : ( in @ ( SV509 @ SX0 ) @ ( SV510 @ SX0 ) ) ))]]) ).
thf(517,plain,
! [SV127: $i > $o,SV126: $i,SV125: $i,SV283: $i > $o] :
( ( ( SV127 @ SV126 )
= $false )
| ( ( in @ SV126 @ SV125 )
= $false )
| ( ( SV283 @ SV126 )
= $true )
| ( ( ( SV283 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) )
= ( SV127 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[384:[bind(SV281,$thf( SV125 )),bind(SV282,$thf( SV126 ))]]) ).
thf(518,plain,
! [SV283: $i > $o,SV125: $i,SV126: $i,SV127: $i > $o] :
( ( ( SV127 @ SV126 )
= $false )
| ( ( in @ SV126 @ SV125 )
= $false )
| ( ( SV283 @ SV126 )
= $true )
| ( ( ~ ( SV283 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) ) )
= $true )
| ( ( ~ ( SV127 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[384:[bind(SV281,$thf( SV125 )),bind(SV282,$thf( SV126 ))]]) ).
thf(519,plain,
! [SV283: $i > $o,SV125: $i,SV126: $i,SV127: $i > $o] :
( ( ( SV127 @ SV126 )
= $false )
| ( ( in @ SV126 @ SV125 )
= $false )
| ( ( SV283 @ SV126 )
= $true )
| ( ( ~ ( SV283 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) ) )
= $false )
| ( ( ~ ( SV127 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[384:[bind(SV281,$thf( SV125 )),bind(SV282,$thf( SV126 ))]]) ).
thf(520,plain,
! [SV125: $i,SV283: $i > $o,SV281: $i,SV126: $i,SV127: $i > $o] :
( ( ( SV127 @ SV126 )
= $false )
| ( ( in @ SV126 @ SV281 )
= $false )
| ( ( SV283 @ SV126 )
= $true )
| ( ( ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) )
= ( dsetconstr @ SV125
@ ^ [SX0: $i] :
~ ( SV127 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[384:[bind(SV282,$thf( SV126 ))]]) ).
thf(523,plain,
! [SV283: $i > $o] :
( ( ( SV283 @ ( sK35_E @ SV283 ) )
= $true )
| ( ( SV283 @ sK3_SY20 )
= $true )
| ( ( in @ sK3_SY20 @ sK1_A )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( sK2_SY16 @ ( sK35_E @ SV283 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(524,plain,
! [SV283: $i > $o] :
( ( ( SV283 @ ( sK35_E @ SV283 ) )
= $false )
| ( ( SV283 @ sK3_SY20 )
= $true )
| ( ( in @ sK3_SY20 @ sK1_A )
= $false )
| ( ( sK2_SY16 @ sK3_SY20 )
= $false )
| ( ( sK2_SY16 @ ( sK35_E @ SV283 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(525,plain,
! [SV26: $i > $o,SV281: $i,SV401: $i > $i,SV405: $i > $i,SV282: $i,SV406: $i > $i > $o] :
( ( ( ~ ( ( SV406 @ SV282 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) )
| ( SV26 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) ) )
| ~ ( ~ ( SV406 @ SV282 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) )
| ~ ( SV26 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) ) ) )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV401 @ SX0 ) @ ( dsetconstr @ ( SV405 @ SX0 ) @ ( SV406 @ SX0 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV26 @ ( SV401 @ SV282 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[455]) ).
thf(526,plain,
! [SV26: $i > $o,SV281: $i,SV401: $i > $i,SV405: $i > $i,SV282: $i,SV406: $i > $i > $o] :
( ( ( ( SV406 @ SV282 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) )
= ( SV26 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) ) )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV401 @ SX0 ) @ ( dsetconstr @ ( SV405 @ SX0 ) @ ( SV406 @ SX0 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV26 @ ( SV401 @ SV282 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[455]) ).
thf(527,plain,
! [SV26: $i > $o,SV28: $i,SV27: $i,SV283: $i > $o] :
( ( ( SV283 @ ( sK37_E @ SV27 @ SV28 @ SV26 @ SV283 ) )
= $true )
| ( ( SV283 @ SV28 )
= $true )
| ( ( in @ SV28 @ SV27 )
= $false )
| ( ( SV26 @ SV28 )
= $true )
| ( ( SV26 @ ( sK37_E @ SV27 @ SV28 @ SV26 @ SV283 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(528,plain,
! [SV26: $i > $o,SV28: $i,SV27: $i,SV283: $i > $o] :
( ( ( SV283 @ ( sK37_E @ SV27 @ SV28 @ SV26 @ SV283 ) )
= $false )
| ( ( SV283 @ SV28 )
= $true )
| ( ( in @ SV28 @ SV27 )
= $false )
| ( ( SV26 @ SV28 )
= $true )
| ( ( SV26 @ ( sK37_E @ SV27 @ SV28 @ SV26 @ SV283 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(529,plain,
! [SV122: $i,SV121: $i,SV283: $i > $o] :
( ( ( SV283 @ ( sK39_E @ SV121 @ SV122 @ SV283 ) )
= $true )
| ( ( SV283 @ SV122 )
= $true )
| ( ( in @ SV122 @ SV121 )
= $false )
| ( ( SV122 = sK1_A )
= $true )
| ( ( ( sK39_E @ SV121 @ SV122 @ SV283 )
= sK1_A )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[487]) ).
thf(530,plain,
! [SV122: $i,SV121: $i,SV283: $i > $o] :
( ( ( SV283 @ ( sK39_E @ SV121 @ SV122 @ SV283 ) )
= $false )
| ( ( SV283 @ SV122 )
= $true )
| ( ( in @ SV122 @ SV121 )
= $false )
| ( ( SV122 = sK1_A )
= $true )
| ( ( ( sK39_E @ SV121 @ SV122 @ SV283 )
= sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(531,plain,
! [SV124: $i,SV123: $i,SV283: $i > $o] :
( ( ( SV283 @ ( sK41_E @ SV123 @ SV124 @ SV283 ) )
= $true )
| ( ( SV283 @ SV124 )
= $true )
| ( ( in @ SV124 @ SV123 )
= $false )
| ( ( SV124 = sK3_SY20 )
= $true )
| ( ( ( sK41_E @ SV123 @ SV124 @ SV283 )
= sK3_SY20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(532,plain,
! [SV124: $i,SV123: $i,SV283: $i > $o] :
( ( ( SV283 @ ( sK41_E @ SV123 @ SV124 @ SV283 ) )
= $false )
| ( ( SV283 @ SV124 )
= $true )
| ( ( in @ SV124 @ SV123 )
= $false )
| ( ( SV124 = sK3_SY20 )
= $true )
| ( ( ( sK41_E @ SV123 @ SV124 @ SV283 )
= sK3_SY20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(533,plain,
! [SV127: $i > $o,SV281: $i,SV509: $i > $i,SV513: $i > $i,SV282: $i,SV519: $i > $i > $o] :
( ( ( SV519 @ SV282
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV509 @ SX0 )
@ ( dsetconstr @ ( SV513 @ SX0 )
@ ^ [SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV127 @ ( SV509 @ SV282 ) )
= $false )
| ( ( ~ ( SV127
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[512]) ).
thf(534,plain,
! [SV127: $i > $o,SV281: $i,SV509: $i > $i,SV513: $i > $i,SV282: $i,SV519: $i > $i > $o] :
( ( ( SV519 @ SV282
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV509 @ SX0 )
@ ( dsetconstr @ ( SV513 @ SX0 )
@ ^ [SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV127 @ ( SV509 @ SV282 ) )
= $false )
| ( ( ~ ( SV127
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(535,plain,
! [SV127: $i > $o,SV281: $i,SV509: $i > $i,SV513: $i > $i,SV282: $i,SV519: $i > $i > $o] :
( ( ( ~ ( ( SV519 @ SV282
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) )
| ( SV127
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) )
| ~ ( ~ ( SV519 @ SV282
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) )
| ~ ( SV127
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV509 @ SX0 )
@ ( dsetconstr @ ( SV513 @ SX0 )
@ ^ [SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV127 @ ( SV509 @ SV282 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[510]) ).
thf(536,plain,
! [SV127: $i > $o,SV281: $i,SV509: $i > $i,SV513: $i > $i,SV282: $i,SV519: $i > $i > $o] :
( ( ( ( SV519 @ SV282
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) )
= ( SV127
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV509 @ SX0 )
@ ( dsetconstr @ ( SV513 @ SX0 )
@ ^ [SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV127 @ ( SV509 @ SV282 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[510]) ).
thf(537,plain,
! [SV127: $i > $o,SV126: $i,SV125: $i,SV283: $i > $o] :
( ( ( SV283 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) )
= $true )
| ( ( SV283 @ SV126 )
= $true )
| ( ( in @ SV126 @ SV125 )
= $false )
| ( ( SV127 @ SV126 )
= $false )
| ( ( ~ ( SV127 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[519]) ).
thf(538,plain,
! [SV127: $i > $o,SV126: $i,SV125: $i,SV283: $i > $o] :
( ( ( SV283 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) )
= $false )
| ( ( SV283 @ SV126 )
= $true )
| ( ( in @ SV126 @ SV125 )
= $false )
| ( ( SV127 @ SV126 )
= $false )
| ( ( ~ ( SV127 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(539,plain,
! [SV127: $i > $o,SV126: $i,SV125: $i,SV283: $i > $o] :
( ( ( ~ ( ( SV283 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) )
| ( SV127 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) ) )
| ~ ( ~ ( SV283 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) )
| ~ ( SV127 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) ) ) )
= $false )
| ( ( SV283 @ SV126 )
= $true )
| ( ( in @ SV126 @ SV125 )
= $false )
| ( ( SV127 @ SV126 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[517]) ).
thf(540,plain,
! [SV127: $i > $o,SV126: $i,SV125: $i,SV283: $i > $o] :
( ( ( ( SV283 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) )
= ( SV127 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) ) )
= $false )
| ( ( SV283 @ SV126 )
= $true )
| ( ( in @ SV126 @ SV125 )
= $false )
| ( ( SV127 @ SV126 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[517]) ).
thf(541,plain,
! [SV281: $i,SV282: $i,SV285: $i > $o] :
( ( ( SV285 @ SV282 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ~ ( SV285 @ SX0 ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(542,plain,
! [SV281: $i,SV311: $i > $o,SV282: $i,SV310: $i > $o] :
( ( ( SV310 @ SV282 )
= $true )
| ( ( SV311 @ SV282 )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( ( SV310 @ SX0 )
| ( SV311 @ SX0 ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(543,plain,
! [SV26: $i > $o,SV281: $i,SV401: $i > $i,SV405: $i > $i,SV282: $i,SV406: $i > $i > $o] :
( ( ( ~ ( ( SV406 @ SV282 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) )
| ( SV26 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) ) ) )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV401 @ SX0 ) @ ( dsetconstr @ ( SV405 @ SX0 ) @ ( SV406 @ SX0 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV26 @ ( SV401 @ SV282 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[525]) ).
thf(544,plain,
! [SV26: $i > $o,SV281: $i,SV401: $i > $i,SV405: $i > $i,SV282: $i,SV406: $i > $i > $o] :
( ( ( ~ ( ~ ( SV406 @ SV282 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) )
| ~ ( SV26 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) ) ) )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV401 @ SX0 ) @ ( dsetconstr @ ( SV405 @ SX0 ) @ ( SV406 @ SX0 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV26 @ ( SV401 @ SV282 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[525]) ).
thf(545,plain,
! [SV519: $i > $i > $o,SV282: $i,SV281: $i,SV509: $i > $i,SV513: $i > $i,SV127: $i > $o] :
( ( ( SV127
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV127 @ ( SV509 @ SV282 ) )
= $false )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV509 @ SX0 )
@ ( dsetconstr @ ( SV513 @ SX0 )
@ ^ [SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( SV519 @ SV282
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(546,plain,
! [SV519: $i > $i > $o,SV282: $i,SV281: $i,SV509: $i > $i,SV513: $i > $i,SV127: $i > $o] :
( ( ( SV127
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV127 @ ( SV509 @ SV282 ) )
= $false )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV509 @ SX0 )
@ ( dsetconstr @ ( SV513 @ SX0 )
@ ^ [SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( SV519 @ SV282
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(547,plain,
! [SV127: $i > $o,SV281: $i,SV509: $i > $i,SV513: $i > $i,SV282: $i,SV519: $i > $i > $o] :
( ( ( ~ ( ( SV519 @ SV282
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) )
| ( SV127
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV509 @ SX0 )
@ ( dsetconstr @ ( SV513 @ SX0 )
@ ^ [SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV127 @ ( SV509 @ SV282 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(548,plain,
! [SV127: $i > $o,SV281: $i,SV509: $i > $i,SV513: $i > $i,SV282: $i,SV519: $i > $i > $o] :
( ( ( ~ ( ~ ( SV519 @ SV282
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) )
| ~ ( SV127
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV509 @ SX0 )
@ ( dsetconstr @ ( SV513 @ SX0 )
@ ^ [SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV127 @ ( SV509 @ SV282 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(549,plain,
! [SV283: $i > $o,SV126: $i,SV125: $i,SV127: $i > $o] :
( ( ( SV127 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) )
= $true )
| ( ( SV127 @ SV126 )
= $false )
| ( ( in @ SV126 @ SV125 )
= $false )
| ( ( SV283 @ SV126 )
= $true )
| ( ( SV283 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[537]) ).
thf(550,plain,
! [SV283: $i > $o,SV126: $i,SV125: $i,SV127: $i > $o] :
( ( ( SV127 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) )
= $false )
| ( ( SV127 @ SV126 )
= $false )
| ( ( in @ SV126 @ SV125 )
= $false )
| ( ( SV283 @ SV126 )
= $true )
| ( ( SV283 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(551,plain,
! [SV127: $i > $o,SV126: $i,SV125: $i,SV283: $i > $o] :
( ( ( ~ ( ( SV283 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) )
| ( SV127 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) ) ) )
= $false )
| ( ( SV283 @ SV126 )
= $true )
| ( ( in @ SV126 @ SV125 )
= $false )
| ( ( SV127 @ SV126 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(552,plain,
! [SV127: $i > $o,SV126: $i,SV125: $i,SV283: $i > $o] :
( ( ( ~ ( ~ ( SV283 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) )
| ~ ( SV127 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) ) ) )
= $false )
| ( ( SV283 @ SV126 )
= $true )
| ( ( in @ SV126 @ SV125 )
= $false )
| ( ( SV127 @ SV126 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(553,plain,
! [SV26: $i > $o,SV281: $i,SV401: $i > $i,SV405: $i > $i,SV282: $i,SV406: $i > $i > $o] :
( ( ( ( SV406 @ SV282 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) )
| ( SV26 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) ) )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV401 @ SX0 ) @ ( dsetconstr @ ( SV405 @ SX0 ) @ ( SV406 @ SX0 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV26 @ ( SV401 @ SV282 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[543]) ).
thf(554,plain,
! [SV26: $i > $o,SV281: $i,SV401: $i > $i,SV405: $i > $i,SV282: $i,SV406: $i > $i > $o] :
( ( ( ~ ( SV406 @ SV282 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) )
| ~ ( SV26 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) ) )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV401 @ SX0 ) @ ( dsetconstr @ ( SV405 @ SX0 ) @ ( SV406 @ SX0 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV26 @ ( SV401 @ SV282 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[544]) ).
thf(555,plain,
! [SV127: $i > $o,SV281: $i,SV509: $i > $i,SV513: $i > $i,SV282: $i,SV519: $i > $i > $o] :
( ( ( ( SV519 @ SV282
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) )
| ( SV127
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV509 @ SX0 )
@ ( dsetconstr @ ( SV513 @ SX0 )
@ ^ [SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV127 @ ( SV509 @ SV282 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(556,plain,
! [SV127: $i > $o,SV281: $i,SV509: $i > $i,SV513: $i > $i,SV282: $i,SV519: $i > $i > $o] :
( ( ( ~ ( SV519 @ SV282
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) )
| ~ ( SV127
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV509 @ SX0 )
@ ( dsetconstr @ ( SV513 @ SX0 )
@ ^ [SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV127 @ ( SV509 @ SV282 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[548]) ).
thf(557,plain,
! [SV127: $i > $o,SV126: $i,SV125: $i,SV283: $i > $o] :
( ( ( ( SV283 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) )
| ( SV127 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) ) )
= $true )
| ( ( SV283 @ SV126 )
= $true )
| ( ( in @ SV126 @ SV125 )
= $false )
| ( ( SV127 @ SV126 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(558,plain,
! [SV127: $i > $o,SV126: $i,SV125: $i,SV283: $i > $o] :
( ( ( ~ ( SV283 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) )
| ~ ( SV127 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) ) )
= $true )
| ( ( SV283 @ SV126 )
= $true )
| ( ( in @ SV126 @ SV125 )
= $false )
| ( ( SV127 @ SV126 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[552]) ).
thf(559,plain,
! [SV26: $i > $o,SV281: $i,SV401: $i > $i,SV405: $i > $i,SV282: $i,SV406: $i > $i > $o] :
( ( ( SV406 @ SV282 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) )
= $true )
| ( ( SV26 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV401 @ SX0 ) @ ( dsetconstr @ ( SV405 @ SX0 ) @ ( SV406 @ SX0 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV26 @ ( SV401 @ SV282 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[553]) ).
thf(560,plain,
! [SV26: $i > $o,SV281: $i,SV401: $i > $i,SV405: $i > $i,SV282: $i,SV406: $i > $i > $o] :
( ( ( ~ ( SV406 @ SV282 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) ) )
= $true )
| ( ( ~ ( SV26 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) ) )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV401 @ SX0 ) @ ( dsetconstr @ ( SV405 @ SX0 ) @ ( SV406 @ SX0 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV26 @ ( SV401 @ SV282 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[554]) ).
thf(561,plain,
! [SV127: $i > $o,SV281: $i,SV509: $i > $i,SV513: $i > $i,SV282: $i,SV519: $i > $i > $o] :
( ( ( SV519 @ SV282
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV127
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV509 @ SX0 )
@ ( dsetconstr @ ( SV513 @ SX0 )
@ ^ [SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV127 @ ( SV509 @ SV282 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[555]) ).
thf(562,plain,
! [SV127: $i > $o,SV281: $i,SV509: $i > $i,SV513: $i > $i,SV282: $i,SV519: $i > $i > $o] :
( ( ( ~ ( SV519 @ SV282
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( SV127
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV509 @ SX0 )
@ ( dsetconstr @ ( SV513 @ SX0 )
@ ^ [SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV127 @ ( SV509 @ SV282 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[556]) ).
thf(563,plain,
! [SV127: $i > $o,SV126: $i,SV125: $i,SV283: $i > $o] :
( ( ( SV283 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) )
= $true )
| ( ( SV127 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) )
= $true )
| ( ( SV283 @ SV126 )
= $true )
| ( ( in @ SV126 @ SV125 )
= $false )
| ( ( SV127 @ SV126 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[557]) ).
thf(564,plain,
! [SV127: $i > $o,SV126: $i,SV125: $i,SV283: $i > $o] :
( ( ( ~ ( SV283 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) ) )
= $true )
| ( ( ~ ( SV127 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) ) )
= $true )
| ( ( SV283 @ SV126 )
= $true )
| ( ( in @ SV126 @ SV125 )
= $false )
| ( ( SV127 @ SV126 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[558]) ).
thf(565,plain,
! [SV26: $i > $o,SV281: $i,SV401: $i > $i,SV405: $i > $i,SV282: $i,SV406: $i > $i > $o] :
( ( ( SV406 @ SV282 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) )
= $false )
| ( ( ~ ( SV26 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) ) )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV401 @ SX0 ) @ ( dsetconstr @ ( SV405 @ SX0 ) @ ( SV406 @ SX0 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV26 @ ( SV401 @ SV282 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(566,plain,
! [SV127: $i > $o,SV281: $i,SV509: $i > $i,SV513: $i > $i,SV282: $i,SV519: $i > $i > $o] :
( ( ( SV519 @ SV282
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( SV127
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV509 @ SX0 )
@ ( dsetconstr @ ( SV513 @ SX0 )
@ ^ [SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV127 @ ( SV509 @ SV282 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(567,plain,
! [SV127: $i > $o,SV126: $i,SV125: $i,SV283: $i > $o] :
( ( ( SV283 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) )
= $false )
| ( ( ~ ( SV127 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) ) )
= $true )
| ( ( SV283 @ SV126 )
= $true )
| ( ( in @ SV126 @ SV125 )
= $false )
| ( ( SV127 @ SV126 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(568,plain,
! [SV406: $i > $i > $o,SV282: $i,SV281: $i,SV401: $i > $i,SV405: $i > $i,SV26: $i > $o] :
( ( ( SV26 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) )
= $false )
| ( ( SV406 @ SV282 @ ( sK36_E @ SV405 @ SV401 @ SV281 @ SV26 @ SV282 @ SV406 ) )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV401 @ SX0 ) @ ( dsetconstr @ ( SV405 @ SX0 ) @ ( SV406 @ SX0 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV26 @ ( SV401 @ SV282 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(569,plain,
! [SV519: $i > $i > $o,SV282: $i,SV281: $i,SV509: $i > $i,SV513: $i > $i,SV127: $i > $o] :
( ( ( SV127
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV519 @ SV282
@ ( sK42_E @ SV513 @ SV509 @ SV281 @ SV127 @ SV282
@ ^ [SX0: $i,SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in @ SV282
@ ( dsetconstr @ SV281
@ ^ [SX0: $i] :
~ ( in @ ( SV509 @ SX0 )
@ ( dsetconstr @ ( SV513 @ SX0 )
@ ^ [SX1: $i] :
~ ( SV519 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( in @ SV282 @ SV281 )
= $false )
| ( ( SV127 @ ( SV509 @ SV282 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(570,plain,
! [SV283: $i > $o,SV126: $i,SV125: $i,SV127: $i > $o] :
( ( ( SV127 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) )
= $false )
| ( ( SV283 @ ( sK43_E @ SV125 @ SV126 @ SV127 @ SV283 ) )
= $false )
| ( ( SV283 @ SV126 )
= $true )
| ( ( in @ SV126 @ SV125 )
= $false )
| ( ( SV127 @ SV126 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(571,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[24,570,569,568,563,561,559,550,549,546,545,542,541,540,536,532,531,530,529,528,527,526,524,523,520,516,515,514,513,509,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,459,458,457,456,454,453,452,451,450,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,411,379,378,377,374,369,368,367,366,365,364,362,361,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,326,325,324,323,321,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,271,255,254,253,252,233,232,231,230,229,228,227,226,213,212,211,210,207,195,194,193,192,184,181,176,175,174,173,171,170,167,165,164,163,162,161,160,159,152,141,140,139,130,129,122,120,118,117,115,109,108,107,106,105,104,103,102,101,100,40,38]) ).
thf(572,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[571]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : SEU508^2 : TPTP v8.1.0. Released v3.7.0.
% 0.14/0.15 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.15/0.37 % Computer : n016.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Mon Jun 20 00:00:09 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.15/0.38
% 0.15/0.38 No.of.Axioms: 0
% 0.15/0.38
% 0.15/0.38 Length.of.Defs: 440
% 0.15/0.38
% 0.15/0.38 Contains.Choice.Funs: false
% 0.15/0.38 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.40/0.60
% 0.40/0.60 Prim_subst applied to clause
% 0.40/0.60
% 0.40/0.60 109:[ 0:<(in@SV28)@((dsetconstr@SV27)@(^[SX0:$i]: (SV26@SX0))) = $false>-w(1)-i() 1:<SV26@SV28 = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 29)-o(AXIOM)-fv([ SV26 SV27 SV28 ])
% 0.48/0.70
% 0.48/0.70 Prim_subst applied to clause
% 0.48/0.70
% 0.48/0.70 141:[ 0:<SV74@SV73 = $false>-w(1)-i() 1:<(in@SV73)@((dsetconstr@SV72)@(^[SX0:$i]: (SV74@SX0))) = $true>-w(1)-i() 2:<(in@SV73)@SV72 = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 36)-o(AXIOM)-fv([ SV72 SV73 SV74 ])
% 0.70/0.87 ....
% 1.81/2.05
% 1.81/2.05 Prim_subst applied to clause
% 1.81/2.05
% 1.81/2.05 255:[ 0:<SV127@SV126 = $false>-w(1)-i() 1:<(in@SV126)@((dsetconstr@SV125)@(^[SX0:$i]: (~ (SV127@SX0)))) = $false>-w(1)-i() ]-mln(2)-w(2)-i(rename 98)-o(AXIOM)-fv([ SV125 SV126 SV127 ])
% 2.60/2.81 ...
% 6.27/6.48
% 6.27/6.48 Prim_subst applied to clause
% 6.27/6.48
% 6.27/6.48 379:[ 0:<SV283@SV282 = $true>-w(1)-i() 1:<(in@SV282)@((dsetconstr@SV281)@(^[SX0:$i]: (~ (SV283@SX0)))) = $true>-w(1)-i() 2:<(in@SV282)@SV281 = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 99)-o(AXIOM)-fv([ SV281 SV282 SV283 ])
% 7.39/7.56 ......
% 44.50/45.21
% 44.50/45.21 ********************************
% 44.50/45.21 * All subproblems solved! *
% 44.50/45.21 ********************************
% 44.50/45.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:571,loop_count:10,foatp_calls:3,translation:fof_full)
% 45.29/45.50
% 45.29/45.50 %**** Beginning of derivation protocol ****
% 45.29/45.50 % SZS output start CNFRefutation
% See solution above
% 45.32/45.50
% 45.32/45.50 %**** End of derivation protocol ****
% 45.32/45.50 %**** no. of clauses in derivation: 461 ****
% 45.32/45.50 %**** clause counter: 571 ****
% 45.32/45.50
% 45.32/45.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:571,loop_count:10,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------