TSTP Solution File: SEU780^2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU780^2 : 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 : n032.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 12:14:40 EDT 2022
% Result : Theorem 112.80s 113.03s
% Output : CNFRefutation 113.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 70
% Syntax : Number of formulae : 711 ( 67 unt; 65 typ; 4 def)
% Number of atoms : 6321 (2730 equ; 0 cnn)
% Maximal formula atoms : 9 ( 9 avg)
% Number of connectives : 15186 (2392 ~;1951 |; 20 &;10800 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 741 ( 741 >; 0 *; 0 +; 0 <<)
% Number of symbols : 68 ( 65 usr; 25 con; 0-3 aty)
% Number of variables : 2390 ( 862 ^1523 !; 5 ?;2390 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_breln,type,
breln: $i > $i > $i > $o ).
thf(tp_breln1,type,
breln1: $i > $i > $o ).
thf(tp_breln1compset,type,
breln1compset: $i > $i > $i > $i ).
thf(tp_cartprod,type,
cartprod: $i > $i > $i ).
thf(tp_dpsetconstr,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_dpsetconstrER,type,
dpsetconstrER: $o ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_kpair,type,
kpair: $i > $i > $i ).
thf(tp_sK10_SY375,type,
sK10_SY375: ( $i > $i > $o ) > $i > $i > $i ).
thf(tp_sK11_SY371,type,
sK11_SY371: ( $i > $i > $o ) > $i ).
thf(tp_sK12_E,type,
sK12_E: $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 > $i > $i ).
thf(tp_sK19_E,type,
sK19_E: $i > $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK20_SY387,type,
sK20_SY387: $i > $i > $i ).
thf(tp_sK21_SY383,type,
sK21_SY383: $i ).
thf(tp_sK22_E,type,
sK22_E: ( $i > $i > $o ) > $i ).
thf(tp_sK23_E,type,
sK23_E: ( $i > $i > $o ) > $i ).
thf(tp_sK24_E,type,
sK24_E: ( $i > $i > $o ) > $i ).
thf(tp_sK25_E,type,
sK25_E: ( $i > $i > $o ) > $i ).
thf(tp_sK26_E,type,
sK26_E: $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK27_E,type,
sK27_E: ( $i > $i > $o ) > $i > $i > $i ).
thf(tp_sK28_E,type,
sK28_E: $i ).
thf(tp_sK29_E,type,
sK29_E: $i ).
thf(tp_sK2_SY284,type,
sK2_SY284: $i ).
thf(tp_sK30_E,type,
sK30_E: $i > $i > $i ).
thf(tp_sK31_E,type,
sK31_E: $i > $i > $i ).
thf(tp_sK32_SY451,type,
sK32_SY451: ( $i > $i > $o ) > $i ).
thf(tp_sK33_SY459,type,
sK33_SY459: ( $i > $i > $o ) > $i ).
thf(tp_sK34_SY463,type,
sK34_SY463: ( $i > $i > $o ) > $i > $i > $i ).
thf(tp_sK35_SX0,type,
sK35_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK36_SY467,type,
sK36_SY467: $i ).
thf(tp_sK37_SY471,type,
sK37_SY471: $i > $i > $i ).
thf(tp_sK38_SX0,type,
sK38_SX0: $i ).
thf(tp_sK39_E,type,
sK39_E: $i ).
thf(tp_sK3_SY289,type,
sK3_SY289: $i ).
thf(tp_sK40_E,type,
sK40_E: $i ).
thf(tp_sK41_E,type,
sK41_E: $i ).
thf(tp_sK42_E,type,
sK42_E: $i ).
thf(tp_sK43_E,type,
sK43_E: ( $i > $i > $o ) > $i ).
thf(tp_sK44_E,type,
sK44_E: ( $i > $i > $o ) > $i ).
thf(tp_sK45_E,type,
sK45_E: $i ).
thf(tp_sK46_E,type,
sK46_E: $i ).
thf(tp_sK47_E,type,
sK47_E: $i > $i > $i ).
thf(tp_sK48_E,type,
sK48_E: $i > $i > $i ).
thf(tp_sK49_E,type,
sK49_E: $i > $i > $i ).
thf(tp_sK4_SY293,type,
sK4_SY293: $i ).
thf(tp_sK50_E,type,
sK50_E: $i > $i > $i ).
thf(tp_sK51_E,type,
sK51_E: $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK52_E,type,
sK52_E: ( $i > $i > $o ) > $i > $i > $i ).
thf(tp_sK53_E,type,
sK53_E: $i > $i ).
thf(tp_sK54_E,type,
sK54_E: $i > $i ).
thf(tp_sK55_E,type,
sK55_E: $i > $i > $i ).
thf(tp_sK56_E,type,
sK56_E: $i > $i > $i ).
thf(tp_sK5_SY296,type,
sK5_SY296: $i ).
thf(tp_sK6_E,type,
sK6_E: ( $i > $i > $o ) > $i ).
thf(tp_sK7_E,type,
sK7_E: ( $i > $i > $o ) > $i ).
thf(tp_sK8_E,type,
sK8_E: $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK9_E,type,
sK9_E: ( $i > $i > $o ) > $i > $i > $i ).
thf(tp_subset,type,
subset: $i > $i > $o ).
thf(breln,definition,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln) ).
thf(breln1,definition,
( breln1
= ( ^ [A: $i,R: $i] : ( breln @ A @ A @ R ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1) ).
thf(breln1compset,definition,
( breln1compset
= ( ^ [A: $i,R: $i,S: $i] :
( dpsetconstr @ A @ A
@ ^ [Xx: $i,Xy: $i] :
? [Xz: $i] :
( ( in @ Xz @ A )
& ( in @ ( kpair @ Xx @ Xz ) @ R )
& ( in @ ( kpair @ Xz @ Xy ) @ S ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1compset) ).
thf(dpsetconstrER,definition,
( dpsetconstrER
= ( ! [A: $i,B: $i,Xphi: $i > $i > $o,Xx: $i,Xy: $i] :
( ( in @ ( kpair @ Xx @ Xy )
@ ( dpsetconstr @ A @ B
@ ^ [Xz: $i,Xu: $i] : ( Xphi @ Xz @ Xu ) ) )
=> ( Xphi @ Xx @ Xy ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dpsetconstrER) ).
thf(1,conjecture,
( dpsetconstrER
=> ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ ( breln1compset @ A @ R @ S ) )
=> ? [Xz: $i] :
( ( in @ Xz @ A )
& ( in @ ( kpair @ Xx @ Xz ) @ R )
& ( in @ ( kpair @ Xz @ Xy ) @ S ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1compE) ).
thf(2,negated_conjecture,
( ( dpsetconstrER
=> ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ ( breln1compset @ A @ R @ S ) )
=> ? [Xz: $i] :
( ( in @ Xz @ A )
& ( in @ ( kpair @ Xx @ Xz ) @ R )
& ( in @ ( kpair @ Xz @ Xy ) @ S ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
dpsetconstrER = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ ( breln1compset @ A @ R @ S ) )
=> ? [Xz: $i] :
( ( in @ Xz @ A )
& ( in @ ( kpair @ Xx @ Xz ) @ R )
& ( in @ ( kpair @ Xz @ Xy ) @ S ) ) ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[2]) ).
thf(5,plain,
( ( ~ ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ ( breln1compset @ A @ R @ S ) )
=> ? [Xz: $i] :
( ( in @ Xz @ A )
& ( in @ ( kpair @ Xx @ Xz ) @ R )
& ( in @ ( kpair @ Xz @ Xy ) @ S ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(6,plain,
( ( ( breln1 @ sK1_A @ sK2_SY284 )
& ( breln1 @ sK1_A @ sK3_SY289 )
& ( in @ sK4_SY293 @ sK1_A )
& ( in @ sK5_SY296 @ sK1_A )
& ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ ( breln1compset @ sK1_A @ sK2_SY284 @ sK3_SY289 ) )
& ! [SY298: $i] :
( ~ ( in @ SY298 @ sK1_A )
| ~ ( in @ ( kpair @ sK4_SY293 @ SY298 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ SY298 @ sK5_SY296 ) @ sK3_SY289 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(7,plain,
dpsetconstrER = $true,
inference(copy,[status(thm)],[3]) ).
thf(8,plain,
( ( ( breln1 @ sK1_A @ sK2_SY284 )
& ( breln1 @ sK1_A @ sK3_SY289 )
& ( in @ sK4_SY293 @ sK1_A )
& ( in @ sK5_SY296 @ sK1_A )
& ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ ( breln1compset @ sK1_A @ sK2_SY284 @ sK3_SY289 ) )
& ! [SY298: $i] :
( ~ ( in @ SY298 @ sK1_A )
| ~ ( in @ ( kpair @ sK4_SY293 @ SY298 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ SY298 @ sK5_SY296 ) @ sK3_SY289 ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(9,plain,
( ( ~ ( ~ ( subset @ sK2_SY284 @ ( cartprod @ sK1_A @ sK1_A ) )
| ~ ~ ( ~ ( subset @ sK3_SY289 @ ( cartprod @ sK1_A @ sK1_A ) )
| ~ ~ ( ~ ( in @ sK4_SY293 @ sK1_A )
| ~ ~ ( ~ ( in @ sK5_SY296 @ sK1_A )
| ~ ~ ( ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 )
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ sK4_SY293 @ SX0 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ SX0 @ sK5_SY296 ) @ sK3_SY289 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,breln,breln1,breln1compset,dpsetconstrER]) ).
thf(10,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i > $i > $o,SX3: $i,SX4: $i] :
( ~ ( in @ ( kpair @ SX3 @ SX4 )
@ ( dpsetconstr @ SX0 @ SX1
@ ^ [SX5: $i,SX6: $i] : ( SX2 @ SX5 @ SX6 ) ) )
| ( SX2 @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,breln,breln1,breln1compset,dpsetconstrER]) ).
thf(11,plain,
( ( ~ ( subset @ sK2_SY284 @ ( cartprod @ sK1_A @ sK1_A ) )
| ~ ~ ( ~ ( subset @ sK3_SY289 @ ( cartprod @ sK1_A @ sK1_A ) )
| ~ ~ ( ~ ( in @ sK4_SY293 @ sK1_A )
| ~ ~ ( ~ ( in @ sK5_SY296 @ sK1_A )
| ~ ~ ( ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 )
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ sK4_SY293 @ SX0 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ SX0 @ sK5_SY296 ) @ sK3_SY289 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[9]) ).
thf(12,plain,
! [SV1: $i] :
( ( ! [SY299: $i,SY300: $i > $i > $o,SY301: $i,SY302: $i] :
( ~ ( in @ ( kpair @ SY301 @ SY302 )
@ ( dpsetconstr @ SV1 @ SY299
@ ^ [SX5: $i,SX6: $i] : ( SY300 @ SX5 @ SX6 ) ) )
| ( SY300 @ SY301 @ SY302 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ( subset @ sK2_SY284 @ ( cartprod @ sK1_A @ sK1_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ~ ( ~ ( subset @ sK3_SY289 @ ( cartprod @ sK1_A @ sK1_A ) )
| ~ ~ ( ~ ( in @ sK4_SY293 @ sK1_A )
| ~ ~ ( ~ ( in @ sK5_SY296 @ sK1_A )
| ~ ~ ( ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 )
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ sK4_SY293 @ SX0 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ SX0 @ sK5_SY296 ) @ sK3_SY289 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[11]) ).
thf(15,plain,
! [SV2: $i,SV1: $i] :
( ( ! [SY305: $i > $i > $o,SY306: $i,SY307: $i] :
( ~ ( in @ ( kpair @ SY306 @ SY307 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX5: $i,SX6: $i] : ( SY305 @ SX5 @ SX6 ) ) )
| ( SY305 @ SY306 @ SY307 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(16,plain,
( ( subset @ sK2_SY284 @ ( cartprod @ sK1_A @ sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(17,plain,
( ( ~ ( ~ ( subset @ sK3_SY289 @ ( cartprod @ sK1_A @ sK1_A ) )
| ~ ~ ( ~ ( in @ sK4_SY293 @ sK1_A )
| ~ ~ ( ~ ( in @ sK5_SY296 @ sK1_A )
| ~ ~ ( ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 )
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ sK4_SY293 @ SX0 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ SX0 @ sK5_SY296 ) @ sK3_SY289 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(18,plain,
! [SV3: $i > $i > $o,SV2: $i,SV1: $i] :
( ( ! [SY310: $i,SY311: $i] :
( ~ ( in @ ( kpair @ SY310 @ SY311 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) )
| ( SV3 @ SY310 @ SY311 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ ( subset @ sK3_SY289 @ ( cartprod @ sK1_A @ sK1_A ) )
| ~ ~ ( ~ ( in @ sK4_SY293 @ sK1_A )
| ~ ~ ( ~ ( in @ sK5_SY296 @ sK1_A )
| ~ ~ ( ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 )
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ sK4_SY293 @ SX0 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ SX0 @ sK5_SY296 ) @ sK3_SY289 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(20,plain,
! [SV3: $i > $i > $o,SV2: $i,SV1: $i,SV4: $i] :
( ( ! [SY314: $i] :
( ~ ( in @ ( kpair @ SV4 @ SY314 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) )
| ( SV3 @ SV4 @ SY314 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(21,plain,
( ( ~ ( subset @ sK3_SY289 @ ( cartprod @ sK1_A @ sK1_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(22,plain,
( ( ~ ~ ( ~ ( in @ sK4_SY293 @ sK1_A )
| ~ ~ ( ~ ( in @ sK5_SY296 @ sK1_A )
| ~ ~ ( ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 )
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ sK4_SY293 @ SX0 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ SX0 @ sK5_SY296 ) @ sK3_SY289 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(23,plain,
! [SV3: $i > $i > $o,SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) )
| ( SV3 @ SV4 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(24,plain,
( ( subset @ sK3_SY289 @ ( cartprod @ sK1_A @ sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ( ~ ( in @ sK4_SY293 @ sK1_A )
| ~ ~ ( ~ ( in @ sK5_SY296 @ sK1_A )
| ~ ~ ( ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 )
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ sK4_SY293 @ SX0 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ SX0 @ sK5_SY296 ) @ sK3_SY289 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(26,plain,
! [SV3: $i > $i > $o,SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) ) )
= $true )
| ( ( SV3 @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(27,plain,
( ( ~ ( in @ sK4_SY293 @ sK1_A )
| ~ ~ ( ~ ( in @ sK5_SY296 @ sK1_A )
| ~ ~ ( ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 )
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ sK4_SY293 @ SX0 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ SX0 @ sK5_SY296 ) @ sK3_SY289 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(28,plain,
! [SV3: $i > $i > $o,SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) )
= $false )
| ( ( SV3 @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(29,plain,
( ( ~ ( in @ sK4_SY293 @ sK1_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(30,plain,
( ( ~ ~ ( ~ ( in @ sK5_SY296 @ sK1_A )
| ~ ~ ( ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 )
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ sK4_SY293 @ SX0 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ SX0 @ sK5_SY296 ) @ sK3_SY289 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(31,plain,
( ( in @ sK4_SY293 @ sK1_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(32,plain,
( ( ~ ( ~ ( in @ sK5_SY296 @ sK1_A )
| ~ ~ ( ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 )
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ sK4_SY293 @ SX0 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ SX0 @ sK5_SY296 ) @ sK3_SY289 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(33,plain,
( ( ~ ( in @ sK5_SY296 @ sK1_A )
| ~ ~ ( ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 )
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ sK4_SY293 @ SX0 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ SX0 @ sK5_SY296 ) @ sK3_SY289 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(34,plain,
( ( ~ ( in @ sK5_SY296 @ sK1_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(35,plain,
( ( ~ ~ ( ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 )
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ sK4_SY293 @ SX0 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ SX0 @ sK5_SY296 ) @ sK3_SY289 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(36,plain,
( ( in @ sK5_SY296 @ sK1_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(37,plain,
( ( ~ ( ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 )
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ sK4_SY293 @ SX0 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ SX0 @ sK5_SY296 ) @ sK3_SY289 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(38,plain,
( ( ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 )
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ sK4_SY293 @ SX0 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ SX0 @ sK5_SY296 ) @ sK3_SY289 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(39,plain,
( ( ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 )
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(40,plain,
( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ sK4_SY293 @ SX0 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ SX0 @ sK5_SY296 ) @ sK3_SY289 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(41,plain,
( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 )
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(42,plain,
( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ sK4_SY293 @ SX0 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ SX0 @ sK5_SY296 ) @ sK3_SY289 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(43,plain,
! [SV6: $i] :
( ( ~ ( in @ SV6 @ sK1_A )
| ~ ( in @ ( kpair @ sK4_SY293 @ SV6 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ SV6 @ sK5_SY296 ) @ sK3_SY289 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(44,plain,
! [SV6: $i] :
( ( ( ~ ( in @ SV6 @ sK1_A )
| ~ ( in @ ( kpair @ sK4_SY293 @ SV6 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV6 @ sK5_SY296 ) @ sK3_SY289 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(45,plain,
! [SV6: $i] :
( ( ( ~ ( in @ SV6 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ sK4_SY293 @ SV6 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV6 @ sK5_SY296 ) @ sK3_SY289 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(46,plain,
! [SV6: $i] :
( ( ( in @ SV6 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ sK4_SY293 @ SV6 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV6 @ sK5_SY296 ) @ sK3_SY289 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(47,plain,
! [SV6: $i] :
( ( ( in @ ( kpair @ sK4_SY293 @ SV6 ) @ sK2_SY284 )
= $false )
| ( ( in @ SV6 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV6 @ sK5_SY296 ) @ sK3_SY289 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(48,plain,
! [SV6: $i] :
( ( ( in @ ( kpair @ SV6 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( in @ SV6 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ sK4_SY293 @ SV6 ) @ sK2_SY284 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(50,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] : $false ) )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[28:[bind(SV3,$thf( ^ [SV10: $i] : ^ [SV11: $i] : $false ))]]) ).
thf(51,plain,
! [SV9: $i > $i > $o,SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV9 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( SV9 @ SV4 @ SV5 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[28:[bind(SV3,$thf( ^ [SV7: $i] : ^ [SV8: $i] : ~ ( SV9 @ SV7 @ SV8 ) ))]]) ).
thf(52,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false )
| ( ( ( SV4 != SV5 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[28:[bind(SV3,$thf( ^ [SY325: $i] : ^ [SY326: $i] : ( SY325 != SY326 ) ))]]) ).
thf(53,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false )
| ( ( SV4 = SV5 )
= $true ) ),
inference(prim_subst,[status(thm)],[28:[bind(SV3,$thf( ^ [SV15: $i] : ^ [SV14: $i] : ( SV15 = SV14 ) ))]]) ).
thf(54,plain,
! [SV3: $i > $i > $o,SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( SV3 @ SV4 @ SV5 )
= $true )
| ( ( ( SV3 @ SV4 @ SV5 )
= ( ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[28]) ).
thf(55,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV3: $i > $i > $o] :
( ( ( ~ ( ( SV3 @ SV4 @ SV5 )
| ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) ) )
| ~ ( ~ ( SV3 @ SV4 @ SV5 )
| ~ ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) ) ) )
= $false )
| ( ( SV3 @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[54]) ).
thf(57,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV3: $i > $i > $o] :
( ( ( ~ ( ( SV3 @ SV4 @ SV5 )
| ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) ) ) )
= $false )
| ( ( SV3 @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(59,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV3: $i > $i > $o] :
( ( ( ( SV3 @ SV4 @ SV5 )
| ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) ) )
= $true )
| ( ( SV3 @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(61,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV4 @ SV5 )
= $true )
| ( ( ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) ) )
= $true )
| ( ( SV3 @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(63,plain,
! [SV3: $i > $i > $o,SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) )
= $false )
| ( ( SV3 @ SV4 @ SV5 )
= $true )
| ( ( SV3 @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(67,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV9: $i > $i > $o] :
( ( ( SV9 @ SV4 @ SV5 )
= $false )
| ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV9 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(68,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( SV4 = SV5 )
= $false )
| ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(69,plain,
! [SV2: $i,SV1: $i,SV5: $i] :
( ( in @ ( kpair @ SV5 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ),
inference(extuni,[status(esa)],[68:[bind(SV4,$thf( SV5 ))]]) ).
thf(70,plain,
! [SV3: $i > $i > $o,SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) )
= $false )
| ( ( SV3 @ SV4 @ SV5 )
= $true ) ),
inference(sim,[status(thm)],[63]) ).
thf(71,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] : $false ) )
= $false ),
inference(sim,[status(thm)],[50]) ).
thf(72,plain,
! [SV21: $i > $i > $o,SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(rename,[status(thm)],[28]) ).
thf(78,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : $false ) )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[72:[bind(SV21,$thf( ^ [SV29: $i] : ^ [SV30: $i] : $false ))]]) ).
thf(79,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : $false ) )
= $false ),
inference(sim,[status(thm)],[78]) ).
thf(80,plain,
! [SV28: $i > $i > $o,SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV28 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( SV28 @ SV25 @ SV24 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[72:[bind(SV21,$thf( ^ [SV26: $i] : ^ [SV27: $i] : ~ ( SV28 @ SV26 @ SV27 ) ))]]) ).
thf(81,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false )
| ( ( ( SV25 != SV24 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[72:[bind(SV21,$thf( ^ [SY338: $i] : ^ [SY339: $i] : ( SY338 != SY339 ) ))]]) ).
thf(82,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false )
| ( ( SV25 = SV24 )
= $true ) ),
inference(prim_subst,[status(thm)],[72:[bind(SV21,$thf( ^ [SV34: $i] : ^ [SV33: $i] : ( SV34 = SV33 ) ))]]) ).
thf(84,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV28: $i > $i > $o] :
( ( ( SV28 @ SV25 @ SV24 )
= $false )
| ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV28 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(85,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( SV25 = SV24 )
= $false )
| ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(86,plain,
! [SV21: $i > $i > $o,SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( ( in @ sK4_SY293 @ sK1_A )
= ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(res,[status(thm)],[31,72]) ).
thf(87,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( sK1_A
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) )
= $false )
| ( ( sK4_SY293
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extuni,[status(esa)],[86]) ).
thf(88,plain,
! [SV21: $i > $i > $o,SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( ( in @ sK5_SY296 @ sK1_A )
= ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(res,[status(thm)],[36,72]) ).
thf(89,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( sK1_A
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) )
= $false )
| ( ( sK5_SY296
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extuni,[status(esa)],[88]) ).
thf(90,plain,
! [SV21: $i > $i > $o,SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 )
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
= ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(res,[status(thm)],[41,72]) ).
thf(91,plain,
! [SV21: $i > $i > $o] :
( ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( ~ ! [SY371: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY371 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK6_E @ SV21 ) @ SY371 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY371 @ ( sK7_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $true ) ),
inference(extuni,[status(esa)],[90:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A )),bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(92,plain,
! [SV21: $i > $i > $o] :
( ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( ~ ! [SY371: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY371 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK6_E @ SV21 ) @ SY371 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY371 @ ( sK7_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $false ) ),
inference(extuni,[status(esa)],[90:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A )),bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(93,plain,
! [SV22: $i,SV23: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[90:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(94,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( ~ ! [SY375: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY375 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ SY375 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY375 @ ( sK9_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extuni,[status(esa)],[90:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(95,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( ~ ! [SY375: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY375 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ SY375 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY375 @ ( sK9_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extuni,[status(esa)],[90:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(96,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extuni,[status(esa)],[90]) ).
thf(97,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i] :
( ( ( ! [SY375: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY375 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ SY375 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY375 @ ( sK9_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(98,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i] :
( ( ( ! [SY375: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY375 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ SY375 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY375 @ ( sK9_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(99,plain,
! [SV21: $i > $i > $o] :
( ( ( ! [SY371: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY371 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK6_E @ SV21 ) @ SY371 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY371 @ ( sK7_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(100,plain,
! [SV21: $i > $i > $o] :
( ( ( ! [SY371: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY371 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK6_E @ SV21 ) @ SY371 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY371 @ ( sK7_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(101,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i,SV82: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV82 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ SV82 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV82 @ ( sK9_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(102,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK10_SY375 @ SV21 @ SV25 @ SV24 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK10_SY375 @ SV21 @ SV25 @ SV24 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK10_SY375 @ SV21 @ SV25 @ SV24 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[98]) ).
thf(103,plain,
! [SV21: $i > $i > $o,SV83: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV83 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK6_E @ SV21 ) @ SV83 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV83 @ ( sK7_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(104,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK11_SY371 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK6_E @ SV21 ) @ ( sK11_SY371 @ SV21 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK11_SY371 @ SV21 ) @ ( sK7_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[100]) ).
thf(105,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i,SV82: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV82 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ SV82 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV82 @ ( sK9_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(106,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK10_SY375 @ SV21 @ SV25 @ SV24 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK10_SY375 @ SV21 @ SV25 @ SV24 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK10_SY375 @ SV21 @ SV25 @ SV24 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(107,plain,
! [SV21: $i > $i > $o,SV83: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV83 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK6_E @ SV21 ) @ SV83 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV83 @ ( sK7_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(108,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK11_SY371 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK6_E @ SV21 ) @ ( sK11_SY371 @ SV21 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK11_SY371 @ SV21 ) @ ( sK7_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(109,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i,SV82: $i] :
( ( ( ~ ~ ( ~ ( in @ SV82 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ SV82 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV82 @ ( sK9_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(110,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK10_SY375 @ SV21 @ SV25 @ SV24 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK10_SY375 @ SV21 @ SV25 @ SV24 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK10_SY375 @ SV21 @ SV25 @ SV24 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(111,plain,
! [SV21: $i > $i > $o,SV83: $i] :
( ( ( ~ ~ ( ~ ( in @ SV83 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK6_E @ SV21 ) @ SV83 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV83 @ ( sK7_E @ SV21 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(112,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK11_SY371 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK6_E @ SV21 ) @ ( sK11_SY371 @ SV21 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK11_SY371 @ SV21 ) @ ( sK7_E @ SV21 ) ) @ sK3_SY289 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(113,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i,SV82: $i] :
( ( ( ~ ~ ( ~ ( in @ SV82 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ SV82 ) @ sK2_SY284 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV82 @ ( sK9_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(114,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK10_SY375 @ SV21 @ SV25 @ SV24 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK10_SY375 @ SV21 @ SV25 @ SV24 ) ) @ sK2_SY284 ) ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[110]) ).
thf(115,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK10_SY375 @ SV21 @ SV25 @ SV24 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[110]) ).
thf(116,plain,
! [SV21: $i > $i > $o,SV83: $i] :
( ( ( ~ ~ ( ~ ( in @ SV83 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK6_E @ SV21 ) @ SV83 ) @ sK2_SY284 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV83 @ ( sK7_E @ SV21 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(117,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK11_SY371 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK6_E @ SV21 ) @ ( sK11_SY371 @ SV21 ) ) @ sK2_SY284 ) ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(118,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK11_SY371 @ SV21 ) @ ( sK7_E @ SV21 ) ) @ sK3_SY289 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(119,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i,SV82: $i] :
( ( ( ~ ( ~ ( in @ SV82 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ SV82 ) @ sK2_SY284 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV82 @ ( sK9_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(120,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK10_SY375 @ SV21 @ SV25 @ SV24 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK10_SY375 @ SV21 @ SV25 @ SV24 ) ) @ sK2_SY284 ) ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(121,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK10_SY375 @ SV21 @ SV25 @ SV24 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(122,plain,
! [SV21: $i > $i > $o,SV83: $i] :
( ( ( ~ ( ~ ( in @ SV83 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK6_E @ SV21 ) @ SV83 ) @ sK2_SY284 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV83 @ ( sK7_E @ SV21 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(123,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK11_SY371 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK6_E @ SV21 ) @ ( sK11_SY371 @ SV21 ) ) @ sK2_SY284 ) ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(124,plain,
! [SV21: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK11_SY371 @ SV21 ) @ ( sK7_E @ SV21 ) ) @ sK3_SY289 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(125,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i,SV82: $i] :
( ( ( ~ ( in @ SV82 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ SV82 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV82 @ ( sK9_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(126,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( sK10_SY375 @ SV21 @ SV25 @ SV24 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK10_SY375 @ SV21 @ SV25 @ SV24 ) ) @ sK2_SY284 ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(127,plain,
! [SV21: $i > $i > $o,SV83: $i] :
( ( ( ~ ( in @ SV83 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK6_E @ SV21 ) @ SV83 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV83 @ ( sK7_E @ SV21 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(128,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( sK11_SY371 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK6_E @ SV21 ) @ ( sK11_SY371 @ SV21 ) ) @ sK2_SY284 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(129,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i,SV82: $i] :
( ( ( ~ ( in @ SV82 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ SV82 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV82 @ ( sK9_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(130,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( sK10_SY375 @ SV21 @ SV25 @ SV24 ) @ sK1_A ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(131,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i] :
( ( ( ~ ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK10_SY375 @ SV21 @ SV25 @ SV24 ) ) @ sK2_SY284 ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(132,plain,
! [SV21: $i > $i > $o,SV83: $i] :
( ( ( ~ ( in @ SV83 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK6_E @ SV21 ) @ SV83 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV83 @ ( sK7_E @ SV21 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(133,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( sK11_SY371 @ SV21 ) @ sK1_A ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(134,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK6_E @ SV21 ) @ ( sK11_SY371 @ SV21 ) ) @ sK2_SY284 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(135,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i,SV82: $i] :
( ( ( in @ SV82 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ SV82 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV82 @ ( sK9_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(136,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( in @ ( sK10_SY375 @ SV21 @ SV25 @ SV24 ) @ sK1_A )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(137,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i] :
( ( ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK10_SY375 @ SV21 @ SV25 @ SV24 ) ) @ sK2_SY284 )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(138,plain,
! [SV21: $i > $i > $o,SV83: $i] :
( ( ( in @ SV83 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK6_E @ SV21 ) @ SV83 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV83 @ ( sK7_E @ SV21 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(139,plain,
! [SV21: $i > $i > $o] :
( ( ( in @ ( sK11_SY371 @ SV21 ) @ sK1_A )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(140,plain,
! [SV21: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK6_E @ SV21 ) @ ( sK11_SY371 @ SV21 ) ) @ sK2_SY284 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(141,plain,
! [SV82: $i,SV21: $i > $i > $o,SV25: $i,SV24: $i] :
( ( ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ SV82 ) @ sK2_SY284 )
= $false )
| ( ( in @ SV82 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV82 @ ( sK9_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(142,plain,
! [SV83: $i,SV21: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK6_E @ SV21 ) @ SV83 ) @ sK2_SY284 )
= $false )
| ( ( in @ SV83 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV83 @ ( sK7_E @ SV21 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(143,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o,SV82: $i] :
( ( ( in @ ( kpair @ SV82 @ ( sK9_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 )
= $false )
| ( ( in @ SV82 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ SV82 ) @ sK2_SY284 )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ ( sK8_E @ SV24 @ SV25 @ SV21 ) @ ( sK9_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(144,plain,
! [SV21: $i > $i > $o,SV83: $i] :
( ( ( in @ ( kpair @ SV83 @ ( sK7_E @ SV21 ) ) @ sK3_SY289 )
= $false )
| ( ( in @ SV83 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK6_E @ SV21 ) @ SV83 ) @ sK2_SY284 )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK6_E @ SV21 ) @ ( sK7_E @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(145,plain,
! [SV84: $i] :
( ( ( in @ ( kpair @ SV84 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( in @ SV84 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ sK4_SY293 @ SV84 ) @ sK2_SY284 )
= $false ) ),
inference(rename,[status(thm)],[48]) ).
thf(149,plain,
! [SV84: $i] :
( ( ( ( in @ ( kpair @ sK4_SY293 @ SV84 ) @ sK2_SY284 )
= ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 )
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) ) )
= $false )
| ( ( in @ ( kpair @ SV84 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( in @ SV84 @ sK1_A )
= $false ) ),
inference(res,[status(thm)],[145,41]) ).
thf(150,plain,
! [SV84: $i] :
( ( ( ( in @ SV84 @ sK1_A )
= ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 )
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) ) )
= $false )
| ( ( in @ ( kpair @ SV84 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( in @ ( kpair @ sK4_SY293 @ SV84 ) @ sK2_SY284 )
= $false ) ),
inference(res,[status(thm)],[145,41]) ).
thf(151,plain,
! [SV84: $i] :
( ( ( ( in @ ( kpair @ SV84 @ sK5_SY296 ) @ sK3_SY289 )
= ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 )
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) ) )
= $false )
| ( ( in @ SV84 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ sK4_SY293 @ SV84 ) @ sK2_SY284 )
= $false ) ),
inference(res,[status(thm)],[145,41]) ).
thf(152,plain,
! [SV84: $i] :
( ( ( ( in @ ( kpair @ sK4_SY293 @ SV84 ) @ sK2_SY284 )
= ( in @ sK5_SY296 @ sK1_A ) )
= $false )
| ( ( in @ ( kpair @ SV84 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( in @ SV84 @ sK1_A )
= $false ) ),
inference(res,[status(thm)],[145,36]) ).
thf(153,plain,
! [SV84: $i] :
( ( ( ( in @ SV84 @ sK1_A )
= ( in @ sK5_SY296 @ sK1_A ) )
= $false )
| ( ( in @ ( kpair @ SV84 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( in @ ( kpair @ sK4_SY293 @ SV84 ) @ sK2_SY284 )
= $false ) ),
inference(res,[status(thm)],[145,36]) ).
thf(154,plain,
! [SV84: $i] :
( ( ( ( in @ ( kpair @ SV84 @ sK5_SY296 ) @ sK3_SY289 )
= ( in @ sK5_SY296 @ sK1_A ) )
= $false )
| ( ( in @ SV84 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ sK4_SY293 @ SV84 ) @ sK2_SY284 )
= $false ) ),
inference(res,[status(thm)],[145,36]) ).
thf(155,plain,
! [SV84: $i] :
( ( ( ( in @ ( kpair @ sK4_SY293 @ SV84 ) @ sK2_SY284 )
= ( in @ sK4_SY293 @ sK1_A ) )
= $false )
| ( ( in @ ( kpair @ SV84 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( in @ SV84 @ sK1_A )
= $false ) ),
inference(res,[status(thm)],[145,31]) ).
thf(156,plain,
! [SV84: $i] :
( ( ( ( in @ SV84 @ sK1_A )
= ( in @ sK4_SY293 @ sK1_A ) )
= $false )
| ( ( in @ ( kpair @ SV84 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( in @ ( kpair @ sK4_SY293 @ SV84 ) @ sK2_SY284 )
= $false ) ),
inference(res,[status(thm)],[145,31]) ).
thf(157,plain,
! [SV84: $i] :
( ( ( ( in @ ( kpair @ SV84 @ sK5_SY296 ) @ sK3_SY289 )
= ( in @ sK4_SY293 @ sK1_A ) )
= $false )
| ( ( in @ SV84 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ sK4_SY293 @ SV84 ) @ sK2_SY284 )
= $false ) ),
inference(res,[status(thm)],[145,31]) ).
thf(164,plain,
! [SV84: $i] :
( ( ( in @ ( kpair @ sK4_SY293 @ SV84 ) @ sK2_SY284 )
= $false )
| ( ( in @ SV84 @ sK1_A )
= $false )
| ( ( sK3_SY289 = sK1_A )
= $false )
| ( ( ( kpair @ SV84 @ sK5_SY296 )
= sK4_SY293 )
= $false ) ),
inference(extuni,[status(esa)],[157]) ).
thf(165,plain,
( ( ( in @ ( kpair @ sK4_SY293 @ sK4_SY293 ) @ sK2_SY284 )
= $false )
| ( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK3_SY289 )
= $false ) ),
inference(extuni,[status(esa)],[156:[bind(SV84,$thf( sK4_SY293 ))]]) ).
thf(166,plain,
! [SV84: $i] :
( ( ( in @ SV84 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV84 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( sK2_SY284 = sK1_A )
= $false )
| ( ( ( kpair @ sK4_SY293 @ SV84 )
= sK4_SY293 )
= $false ) ),
inference(extuni,[status(esa)],[155]) ).
thf(167,plain,
! [SV84: $i] :
( ( ( in @ ( kpair @ sK4_SY293 @ SV84 ) @ sK2_SY284 )
= $false )
| ( ( in @ SV84 @ sK1_A )
= $false )
| ( ( sK3_SY289 = sK1_A )
= $false )
| ( ( ( kpair @ SV84 @ sK5_SY296 )
= sK5_SY296 )
= $false ) ),
inference(extuni,[status(esa)],[154]) ).
thf(168,plain,
( ( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK2_SY284 )
= $false )
| ( ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 )
= $false ) ),
inference(extuni,[status(esa)],[153:[bind(SV84,$thf( sK5_SY296 ))]]) ).
thf(169,plain,
! [SV84: $i] :
( ( ( in @ SV84 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV84 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( sK2_SY284 = sK1_A )
= $false )
| ( ( ( kpair @ sK4_SY293 @ SV84 )
= sK5_SY296 )
= $false ) ),
inference(extuni,[status(esa)],[152]) ).
thf(170,plain,
( ( ( in @ ( kpair @ sK4_SY293 @ sK4_SY293 ) @ sK2_SY284 )
= $false )
| ( ( in @ sK4_SY293 @ sK1_A )
= $false )
| ( ( sK3_SY289
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[151:[bind(SV84,$thf( sK4_SY293 ))]]) ).
thf(171,plain,
! [SV84: $i] :
( ( ( in @ ( kpair @ sK4_SY293 @ SV84 ) @ sK2_SY284 )
= $false )
| ( ( in @ SV84 @ sK1_A )
= $false )
| ( ( sK3_SY289
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
= $false )
| ( ( ( kpair @ SV84 @ sK5_SY296 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extuni,[status(esa)],[151]) ).
thf(172,plain,
( ( ( in @ ( kpair @ sK4_SY293 @ ( kpair @ sK4_SY293 @ sK5_SY296 ) ) @ sK2_SY284 )
= $false )
| ( ( in @ ( kpair @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( sK1_A
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[150:[bind(SV84,$thf( kpair @ sK4_SY293 @ sK5_SY296 ))]]) ).
thf(173,plain,
( ( ( in @ sK5_SY296 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( sK2_SY284
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[149:[bind(SV84,$thf( sK5_SY296 ))]]) ).
thf(174,plain,
! [SV84: $i] :
( ( ( in @ SV84 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV84 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( sK2_SY284
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ SV84 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extuni,[status(esa)],[149]) ).
thf(175,plain,
! [SV85: $i,SV86: $i,SV87: $i,SV88: $i] :
( ( ( in @ ( kpair @ SV88 @ SV87 )
@ ( dpsetconstr @ SV86 @ SV85
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(rename,[status(thm)],[53]) ).
thf(183,plain,
! [SV85: $i,SV86: $i,SV87: $i,SV88: $i] :
( ( ( ( in @ ( kpair @ SV88 @ SV87 )
@ ( dpsetconstr @ SV86 @ SV85
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 )
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(res,[status(thm)],[175,41]) ).
thf(184,plain,
! [SV85: $i,SV86: $i,SV87: $i,SV88: $i] :
( ( ( ( in @ ( kpair @ SV88 @ SV87 )
@ ( dpsetconstr @ SV86 @ SV85
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= ( in @ sK5_SY296 @ sK1_A ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(res,[status(thm)],[175,36]) ).
thf(185,plain,
! [SV85: $i,SV86: $i,SV87: $i,SV88: $i] :
( ( ( ( in @ ( kpair @ SV88 @ SV87 )
@ ( dpsetconstr @ SV86 @ SV85
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= ( in @ sK4_SY293 @ sK1_A ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(res,[status(thm)],[175,31]) ).
thf(188,plain,
! [SV85: $i,SV86: $i,SV87: $i,SV88: $i] :
( ( ( SV88 = SV87 )
= $true )
| ( ( ( dpsetconstr @ SV86 @ SV85
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= sK1_A )
= $false )
| ( ( ( kpair @ SV88 @ SV87 )
= sK4_SY293 )
= $false ) ),
inference(extuni,[status(esa)],[185]) ).
thf(189,plain,
! [SV85: $i,SV86: $i,SV87: $i,SV88: $i] :
( ( ( SV88 = SV87 )
= $true )
| ( ( ( dpsetconstr @ SV86 @ SV85
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= sK1_A )
= $false )
| ( ( ( kpair @ SV88 @ SV87 )
= sK5_SY296 )
= $false ) ),
inference(extuni,[status(esa)],[184]) ).
thf(190,plain,
( ( ( sK4_SY293 = sK5_SY296 )
= $true )
| ( ( sK16_E = sK17_E )
= $true )
| ( ( ~ ! [SY383: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY383 @ sK1_A )
| ~ ( in @ ( kpair @ sK16_E @ SY383 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY383 @ sK17_E ) @ sK3_SY289 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[183:[bind(SV85,$thf( sK1_A )),bind(SV86,$thf( sK1_A )),bind(SV87,$thf( sK5_SY296 )),bind(SV88,$thf( sK4_SY293 ))]]) ).
thf(191,plain,
( ( ( sK4_SY293 = sK5_SY296 )
= $true )
| ( ( sK16_E = sK17_E )
= $false )
| ( ( ~ ! [SY383: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY383 @ sK1_A )
| ~ ( in @ ( kpair @ sK16_E @ SY383 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY383 @ sK17_E ) @ sK3_SY289 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[183:[bind(SV85,$thf( sK1_A )),bind(SV86,$thf( sK1_A )),bind(SV87,$thf( sK5_SY296 )),bind(SV88,$thf( sK4_SY293 ))]]) ).
thf(192,plain,
! [SV85: $i,SV86: $i] :
( ( ( sK4_SY293 = sK5_SY296 )
= $true )
| ( ( ( dpsetconstr @ SV86 @ SV85
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[183:[bind(SV87,$thf( sK5_SY296 )),bind(SV88,$thf( sK4_SY293 ))]]) ).
thf(193,plain,
! [SV87: $i,SV88: $i] :
( ( ( SV88 = SV87 )
= $true )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $true )
| ( ( ~ ! [SY387: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY387 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ SY387 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY387 @ ( sK19_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extuni,[status(esa)],[183:[bind(SV85,$thf( sK1_A )),bind(SV86,$thf( sK1_A ))]]) ).
thf(194,plain,
! [SV87: $i,SV88: $i] :
( ( ( SV88 = SV87 )
= $true )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $false )
| ( ( ~ ! [SY387: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY387 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ SY387 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY387 @ ( sK19_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extuni,[status(esa)],[183:[bind(SV85,$thf( sK1_A )),bind(SV86,$thf( sK1_A ))]]) ).
thf(195,plain,
! [SV85: $i,SV86: $i,SV87: $i,SV88: $i] :
( ( ( SV88 = SV87 )
= $true )
| ( ( ( dpsetconstr @ SV86 @ SV85
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
= $false )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extuni,[status(esa)],[183]) ).
thf(196,plain,
! [SV88: $i,SV87: $i] :
( ( ( ! [SY387: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY387 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ SY387 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY387 @ ( sK19_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $false )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(197,plain,
! [SV88: $i,SV87: $i] :
( ( ( ! [SY387: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY387 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ SY387 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY387 @ ( sK19_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $true )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(198,plain,
( ( ( ! [SY383: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY383 @ sK1_A )
| ~ ( in @ ( kpair @ sK16_E @ SY383 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY383 @ sK17_E ) @ sK3_SY289 ) ) )
= $true )
| ( ( sK16_E = sK17_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(199,plain,
( ( ( ! [SY383: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY383 @ sK1_A )
| ~ ( in @ ( kpair @ sK16_E @ SY383 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY383 @ sK17_E ) @ sK3_SY289 ) ) )
= $false )
| ( ( sK16_E = sK17_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(200,plain,
! [SV88: $i,SV87: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV89 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ SV89 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV89 @ ( sK19_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $false )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(201,plain,
! [SV87: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK20_SY387 @ SV88 @ SV87 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ ( sK20_SY387 @ SV88 @ SV87 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK20_SY387 @ SV88 @ SV87 ) @ ( sK19_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $true )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[197]) ).
thf(202,plain,
! [SV90: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV90 @ sK1_A )
| ~ ( in @ ( kpair @ sK16_E @ SV90 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV90 @ sK17_E ) @ sK3_SY289 ) ) )
= $true )
| ( ( sK16_E = sK17_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(203,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ sK21_SY383 @ sK1_A )
| ~ ( in @ ( kpair @ sK16_E @ sK21_SY383 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ sK21_SY383 @ sK17_E ) @ sK3_SY289 ) ) )
= $false )
| ( ( sK16_E = sK17_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[199]) ).
thf(204,plain,
! [SV88: $i,SV87: $i,SV89: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV89 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ SV89 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV89 @ ( sK19_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $false )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(205,plain,
! [SV87: $i,SV88: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK20_SY387 @ SV88 @ SV87 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ ( sK20_SY387 @ SV88 @ SV87 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK20_SY387 @ SV88 @ SV87 ) @ ( sK19_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $true )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(206,plain,
! [SV90: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV90 @ sK1_A )
| ~ ( in @ ( kpair @ sK16_E @ SV90 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV90 @ sK17_E ) @ sK3_SY289 ) ) )
= $false )
| ( ( sK16_E = sK17_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(207,plain,
( ( ( ~ ( ~ ~ ( ~ ( in @ sK21_SY383 @ sK1_A )
| ~ ( in @ ( kpair @ sK16_E @ sK21_SY383 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ sK21_SY383 @ sK17_E ) @ sK3_SY289 ) ) )
= $true )
| ( ( sK16_E = sK17_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(208,plain,
! [SV88: $i,SV87: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ( in @ SV89 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ SV89 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV89 @ ( sK19_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $false )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(209,plain,
! [SV87: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK20_SY387 @ SV88 @ SV87 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ ( sK20_SY387 @ SV88 @ SV87 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK20_SY387 @ SV88 @ SV87 ) @ ( sK19_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) )
= $false )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $true )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(210,plain,
! [SV90: $i] :
( ( ( ~ ~ ( ~ ( in @ SV90 @ sK1_A )
| ~ ( in @ ( kpair @ sK16_E @ SV90 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV90 @ sK17_E ) @ sK3_SY289 ) )
= $true )
| ( ( sK16_E = sK17_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(211,plain,
( ( ( ~ ~ ( ~ ( in @ sK21_SY383 @ sK1_A )
| ~ ( in @ ( kpair @ sK16_E @ sK21_SY383 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ sK21_SY383 @ sK17_E ) @ sK3_SY289 ) )
= $false )
| ( ( sK16_E = sK17_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(212,plain,
! [SV88: $i,SV87: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ( in @ SV89 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ SV89 ) @ sK2_SY284 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV89 @ ( sK19_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $false )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(213,plain,
! [SV87: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK20_SY387 @ SV88 @ SV87 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ ( sK20_SY387 @ SV88 @ SV87 ) ) @ sK2_SY284 ) ) )
= $false )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $true )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(214,plain,
! [SV87: $i,SV88: $i] :
( ( ( ~ ( in @ ( kpair @ ( sK20_SY387 @ SV88 @ SV87 ) @ ( sK19_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) )
= $false )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $true )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(215,plain,
! [SV90: $i] :
( ( ( ~ ~ ( ~ ( in @ SV90 @ sK1_A )
| ~ ( in @ ( kpair @ sK16_E @ SV90 ) @ sK2_SY284 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV90 @ sK17_E ) @ sK3_SY289 ) )
= $true )
| ( ( sK16_E = sK17_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(216,plain,
( ( ( ~ ~ ( ~ ( in @ sK21_SY383 @ sK1_A )
| ~ ( in @ ( kpair @ sK16_E @ sK21_SY383 ) @ sK2_SY284 ) ) )
= $false )
| ( ( sK16_E = sK17_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(217,plain,
( ( ( ~ ( in @ ( kpair @ sK21_SY383 @ sK17_E ) @ sK3_SY289 ) )
= $false )
| ( ( sK16_E = sK17_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(218,plain,
! [SV88: $i,SV87: $i,SV89: $i] :
( ( ( ~ ( ~ ( in @ SV89 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ SV89 ) @ sK2_SY284 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV89 @ ( sK19_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $false )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(219,plain,
! [SV87: $i,SV88: $i] :
( ( ( ~ ( ~ ( in @ ( sK20_SY387 @ SV88 @ SV87 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ ( sK20_SY387 @ SV88 @ SV87 ) ) @ sK2_SY284 ) ) )
= $true )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $true )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(220,plain,
! [SV87: $i,SV88: $i] :
( ( ( in @ ( kpair @ ( sK20_SY387 @ SV88 @ SV87 ) @ ( sK19_E @ SV88 @ SV87 ) ) @ sK3_SY289 )
= $true )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $true )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(221,plain,
! [SV90: $i] :
( ( ( ~ ( ~ ( in @ SV90 @ sK1_A )
| ~ ( in @ ( kpair @ sK16_E @ SV90 ) @ sK2_SY284 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV90 @ sK17_E ) @ sK3_SY289 ) )
= $true )
| ( ( sK16_E = sK17_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(222,plain,
( ( ( ~ ( ~ ( in @ sK21_SY383 @ sK1_A )
| ~ ( in @ ( kpair @ sK16_E @ sK21_SY383 ) @ sK2_SY284 ) ) )
= $true )
| ( ( sK16_E = sK17_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(223,plain,
( ( ( in @ ( kpair @ sK21_SY383 @ sK17_E ) @ sK3_SY289 )
= $true )
| ( ( sK16_E = sK17_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(224,plain,
! [SV88: $i,SV87: $i,SV89: $i] :
( ( ( ~ ( in @ SV89 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ SV89 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV89 @ ( sK19_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $false )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(225,plain,
! [SV87: $i,SV88: $i] :
( ( ( ~ ( in @ ( sK20_SY387 @ SV88 @ SV87 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ ( sK20_SY387 @ SV88 @ SV87 ) ) @ sK2_SY284 ) )
= $false )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $true )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(226,plain,
! [SV90: $i] :
( ( ( ~ ( in @ SV90 @ sK1_A )
| ~ ( in @ ( kpair @ sK16_E @ SV90 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV90 @ sK17_E ) @ sK3_SY289 ) )
= $true )
| ( ( sK16_E = sK17_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(227,plain,
( ( ( ~ ( in @ sK21_SY383 @ sK1_A )
| ~ ( in @ ( kpair @ sK16_E @ sK21_SY383 ) @ sK2_SY284 ) )
= $false )
| ( ( sK16_E = sK17_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(228,plain,
! [SV88: $i,SV87: $i,SV89: $i] :
( ( ( ~ ( in @ SV89 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ SV89 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV89 @ ( sK19_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $false )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(229,plain,
! [SV87: $i,SV88: $i] :
( ( ( ~ ( in @ ( sK20_SY387 @ SV88 @ SV87 ) @ sK1_A ) )
= $false )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $true )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(230,plain,
! [SV88: $i,SV87: $i] :
( ( ( ~ ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ ( sK20_SY387 @ SV88 @ SV87 ) ) @ sK2_SY284 ) )
= $false )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $true )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(231,plain,
! [SV90: $i] :
( ( ( ~ ( in @ SV90 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ sK16_E @ SV90 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV90 @ sK17_E ) @ sK3_SY289 ) )
= $true )
| ( ( sK16_E = sK17_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(232,plain,
( ( ( ~ ( in @ sK21_SY383 @ sK1_A ) )
= $false )
| ( ( sK16_E = sK17_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(233,plain,
( ( ( ~ ( in @ ( kpair @ sK16_E @ sK21_SY383 ) @ sK2_SY284 ) )
= $false )
| ( ( sK16_E = sK17_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(234,plain,
! [SV88: $i,SV87: $i,SV89: $i] :
( ( ( in @ SV89 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ SV89 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV89 @ ( sK19_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $false )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(235,plain,
! [SV87: $i,SV88: $i] :
( ( ( in @ ( sK20_SY387 @ SV88 @ SV87 ) @ sK1_A )
= $true )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $true )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(236,plain,
! [SV88: $i,SV87: $i] :
( ( ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ ( sK20_SY387 @ SV88 @ SV87 ) ) @ sK2_SY284 )
= $true )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $true )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(237,plain,
! [SV90: $i] :
( ( ( in @ SV90 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ sK16_E @ SV90 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV90 @ sK17_E ) @ sK3_SY289 ) )
= $true )
| ( ( sK16_E = sK17_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(238,plain,
( ( ( in @ sK21_SY383 @ sK1_A )
= $true )
| ( ( sK16_E = sK17_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(239,plain,
( ( ( in @ ( kpair @ sK16_E @ sK21_SY383 ) @ sK2_SY284 )
= $true )
| ( ( sK16_E = sK17_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(240,plain,
! [SV89: $i,SV88: $i,SV87: $i] :
( ( ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ SV89 ) @ sK2_SY284 )
= $false )
| ( ( in @ SV89 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV89 @ ( sK19_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $false )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(241,plain,
! [SV90: $i] :
( ( ( in @ ( kpair @ sK16_E @ SV90 ) @ sK2_SY284 )
= $false )
| ( ( in @ SV90 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV90 @ sK17_E ) @ sK3_SY289 ) )
= $true )
| ( ( sK16_E = sK17_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(242,plain,
! [SV87: $i,SV88: $i,SV89: $i] :
( ( ( in @ ( kpair @ SV89 @ ( sK19_E @ SV88 @ SV87 ) ) @ sK3_SY289 )
= $false )
| ( ( in @ SV89 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK18_E @ SV87 @ SV88 ) @ SV89 ) @ sK2_SY284 )
= $false )
| ( ( ( sK18_E @ SV87 @ SV88 )
= ( sK19_E @ SV88 @ SV87 ) )
= $false )
| ( ( SV88 = SV87 )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(243,plain,
! [SV90: $i] :
( ( ( in @ ( kpair @ SV90 @ sK17_E ) @ sK3_SY289 )
= $false )
| ( ( in @ SV90 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ sK16_E @ SV90 ) @ sK2_SY284 )
= $false )
| ( ( sK16_E = sK17_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(244,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( $true = $false )
| ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] : ~ $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[67:[bind(SV9,$thf( ^ [SV123: $i] : ^ [SV124: $i] : $true ))]]) ).
thf(246,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV120: $i > $i > $o] :
( ( ( ~ ( SV120 @ SV4 @ SV5 ) )
= $false )
| ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV120 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[67:[bind(SV9,$thf( ^ [SV118: $i] : ^ [SV119: $i] : ~ ( SV120 @ SV118 @ SV119 ) ))]]) ).
thf(247,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( ( SV4 != SV5 ) )
= $false )
| ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[67:[bind(SV9,$thf( ^ [SY427: $i] : ^ [SY428: $i] : ( SY427 != SY428 ) ))]]) ).
thf(248,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( SV4 = SV5 )
= $false )
| ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[67:[bind(SV9,$thf( ^ [SV126: $i] : ^ [SV125: $i] : ( SV126 = SV125 ) ))]]) ).
thf(250,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] : $false ) )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[70:[bind(SV3,$thf( ^ [SV112: $i] : ^ [SV113: $i] : $false ))]]) ).
thf(251,plain,
! [SV111: $i > $i > $o,SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV111 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( SV111 @ SV4 @ SV5 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[70:[bind(SV3,$thf( ^ [SV109: $i] : ^ [SV110: $i] : ~ ( SV111 @ SV109 @ SV110 ) ))]]) ).
thf(252,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false )
| ( ( ( SV4 != SV5 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[70:[bind(SV3,$thf( ^ [SY416: $i] : ^ [SY417: $i] : ( SY416 != SY417 ) ))]]) ).
thf(253,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false )
| ( ( SV4 = SV5 )
= $true ) ),
inference(prim_subst,[status(thm)],[70:[bind(SV3,$thf( ^ [SV117: $i] : ^ [SV116: $i] : ( SV117 = SV116 ) ))]]) ).
thf(255,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : $false ) )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[72:[bind(SV21,$thf( ^ [SV103: $i] : ^ [SV104: $i] : $false ))]]) ).
thf(256,plain,
! [SV102: $i > $i > $o,SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( SV102 @ SV25 @ SV24 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[72:[bind(SV21,$thf( ^ [SV100: $i] : ^ [SV101: $i] : ~ ( SV102 @ SV100 @ SV101 ) ))]]) ).
thf(257,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false )
| ( ( ( SV25 != SV24 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[72:[bind(SV21,$thf( ^ [SY405: $i] : ^ [SY406: $i] : ( SY405 != SY406 ) ))]]) ).
thf(258,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false )
| ( ( SV25 = SV24 )
= $true ) ),
inference(prim_subst,[status(thm)],[72:[bind(SV21,$thf( ^ [SV108: $i] : ^ [SV107: $i] : ( SV108 = SV107 ) ))]]) ).
thf(259,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( $true = $false )
| ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ~ $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[84:[bind(SV28,$thf( ^ [SV96: $i] : ^ [SV97: $i] : $true ))]]) ).
thf(261,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV93: $i > $i > $o] :
( ( ( ~ ( SV93 @ SV25 @ SV24 ) )
= $false )
| ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV93 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[84:[bind(SV28,$thf( ^ [SV91: $i] : ^ [SV92: $i] : ~ ( SV93 @ SV91 @ SV92 ) ))]]) ).
thf(262,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( ( SV25 != SV24 ) )
= $false )
| ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[84:[bind(SV28,$thf( ^ [SY394: $i] : ^ [SY395: $i] : ( SY394 != SY395 ) ))]]) ).
thf(263,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( SV25 = SV24 )
= $false )
| ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[84:[bind(SV28,$thf( ^ [SV99: $i] : ^ [SV98: $i] : ( SV99 = SV98 ) ))]]) ).
thf(267,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( ( SV25 != SV24 ) )
= $true )
| ( ( sK1_A
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false )
| ( ( sK4_SY293
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[87:[bind(SV21,$thf( ^ [SY405: $i] : ^ [SY406: $i] : ( SY405 != SY406 ) ))]]) ).
thf(272,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( ( SV25 != SV24 ) )
= $true )
| ( ( sK1_A
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false )
| ( ( sK5_SY296
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[89:[bind(SV21,$thf( ^ [SY405: $i] : ^ [SY406: $i] : ( SY405 != SY406 ) ))]]) ).
thf(275,plain,
! [SV22: $i,SV23: $i] :
( ( $false = $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : $false ) )
= $false ) ),
inference(prim_subst,[status(thm)],[93:[bind(SV21,$thf( ^ [SV103: $i] : ^ [SV104: $i] : $false ))]]) ).
thf(276,plain,
! [SV22: $i,SV23: $i,SV102: $i > $i > $o] :
( ( ( ~ ( SV102 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[93:[bind(SV21,$thf( ^ [SV100: $i] : ^ [SV101: $i] : ~ ( SV102 @ SV100 @ SV101 ) ))]]) ).
thf(278,plain,
! [SV22: $i,SV23: $i] :
( ( ( sK4_SY293 = sK5_SY296 )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[93:[bind(SV21,$thf( ^ [SV108: $i] : ^ [SV107: $i] : ( SV108 = SV107 ) ))]]) ).
thf(280,plain,
! [SV24: $i,SV25: $i,SV22: $i,SV23: $i] :
( ( $false = $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : $false ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[96:[bind(SV21,$thf( ^ [SV103: $i] : ^ [SV104: $i] : $false ))]]) ).
thf(281,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV102: $i > $i > $o] :
( ( ( ~ ( SV102 @ SV25 @ SV24 ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[96:[bind(SV21,$thf( ^ [SV100: $i] : ^ [SV101: $i] : ~ ( SV102 @ SV100 @ SV101 ) ))]]) ).
thf(282,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( ( SV25 != SV24 ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[96:[bind(SV21,$thf( ^ [SY405: $i] : ^ [SY406: $i] : ( SY405 != SY406 ) ))]]) ).
thf(283,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( SV25 = SV24 )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[96:[bind(SV21,$thf( ^ [SV108: $i] : ^ [SV107: $i] : ( SV108 = SV107 ) ))]]) ).
thf(285,plain,
! [SV24: $i,SV25: $i] :
( ( ( in
@ ( kpair
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] : $false
@ SV25
@ SV24 )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] : $false
@ SV25
@ SV24 ) )
@ sK3_SY289 )
= $true )
| ( $false = $true )
| ( $false = $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[121:[bind(SV21,$thf( ^ [SV103: $i] : ^ [SV104: $i] : $false ))]]) ).
thf(286,plain,
! [SV24: $i,SV25: $i,SV102: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 ) )
@ sK3_SY289 )
= $true )
| ( ( ~ ( SV102 @ SV25 @ SV24 ) )
= $true )
| ( ( ~ ( SV102
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 ) ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[121:[bind(SV21,$thf( ^ [SV100: $i] : ^ [SV101: $i] : ~ ( SV102 @ SV100 @ SV101 ) ))]]) ).
thf(288,plain,
! [SV24: $i,SV25: $i] :
( ( ( in
@ ( kpair
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV25
@ SV24 )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV25
@ SV24 ) )
@ sK3_SY289 )
= $true )
| ( ( SV25 = SV24 )
= $true )
| ( ( ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK9_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV25
@ SV24 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[121:[bind(SV21,$thf( ^ [SV108: $i] : ^ [SV107: $i] : ( SV108 = SV107 ) ))]]) ).
thf(290,plain,
( ( ( in
@ ( kpair
@ ( sK11_SY371
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK3_SY289 )
= $true )
| ( $false = $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[124:[bind(SV21,$thf( ^ [SV103: $i] : ^ [SV104: $i] : $false ))]]) ).
thf(291,plain,
! [SV102: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK11_SY371
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) )
@ sK3_SY289 )
= $true )
| ( ( ~ ( SV102 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( ~ ( SV102
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[124:[bind(SV21,$thf( ^ [SV100: $i] : ^ [SV101: $i] : ~ ( SV102 @ SV100 @ SV101 ) ))]]) ).
thf(293,plain,
( ( ( in
@ ( kpair
@ ( sK11_SY371
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK3_SY289 )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true )
| ( ( ( sK6_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK7_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[124:[bind(SV21,$thf( ^ [SV108: $i] : ^ [SV107: $i] : ( SV108 = SV107 ) ))]]) ).
thf(295,plain,
! [SV24: $i,SV25: $i] :
( ( ( in
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] : $false
@ SV25
@ SV24 )
@ sK1_A )
= $true )
| ( $false = $true )
| ( $false = $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[136:[bind(SV21,$thf( ^ [SV103: $i] : ^ [SV104: $i] : $false ))]]) ).
thf(296,plain,
! [SV24: $i,SV25: $i,SV102: $i > $i > $o] :
( ( ( in
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 )
@ sK1_A )
= $true )
| ( ( ~ ( SV102 @ SV25 @ SV24 ) )
= $true )
| ( ( ~ ( SV102
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 ) ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[136:[bind(SV21,$thf( ^ [SV100: $i] : ^ [SV101: $i] : ~ ( SV102 @ SV100 @ SV101 ) ))]]) ).
thf(298,plain,
! [SV24: $i,SV25: $i] :
( ( ( in
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV25
@ SV24 )
@ sK1_A )
= $true )
| ( ( SV25 = SV24 )
= $true )
| ( ( ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK9_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV25
@ SV24 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[136:[bind(SV21,$thf( ^ [SV108: $i] : ^ [SV107: $i] : ( SV108 = SV107 ) ))]]) ).
thf(300,plain,
! [SV25: $i,SV24: $i] :
( ( ( in
@ ( kpair
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] : $false
@ SV25
@ SV24 ) )
@ sK2_SY284 )
= $true )
| ( $false = $true )
| ( $false = $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[137:[bind(SV21,$thf( ^ [SV103: $i] : ^ [SV104: $i] : $false ))]]) ).
thf(301,plain,
! [SV102: $i > $i > $o,SV25: $i,SV24: $i] :
( ( ( in
@ ( kpair
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 ) )
@ sK2_SY284 )
= $true )
| ( ( ~ ( SV102 @ SV25 @ SV24 ) )
= $true )
| ( ( ~ ( SV102
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 ) ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[137:[bind(SV21,$thf( ^ [SV100: $i] : ^ [SV101: $i] : ~ ( SV102 @ SV100 @ SV101 ) ))]]) ).
thf(303,plain,
! [SV25: $i,SV24: $i] :
( ( ( in
@ ( kpair
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV25
@ SV24 ) )
@ sK2_SY284 )
= $true )
| ( ( SV25 = SV24 )
= $true )
| ( ( ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK9_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV25
@ SV24 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[137:[bind(SV21,$thf( ^ [SV108: $i] : ^ [SV107: $i] : ( SV108 = SV107 ) ))]]) ).
thf(305,plain,
( ( ( in
@ ( sK11_SY371
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK1_A )
= $true )
| ( $false = $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[139:[bind(SV21,$thf( ^ [SV103: $i] : ^ [SV104: $i] : $false ))]]) ).
thf(306,plain,
! [SV102: $i > $i > $o] :
( ( ( in
@ ( sK11_SY371
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ sK1_A )
= $true )
| ( ( ~ ( SV102 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( ~ ( SV102
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[139:[bind(SV21,$thf( ^ [SV100: $i] : ^ [SV101: $i] : ~ ( SV102 @ SV100 @ SV101 ) ))]]) ).
thf(308,plain,
( ( ( in
@ ( sK11_SY371
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK1_A )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true )
| ( ( ( sK6_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK7_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[139:[bind(SV21,$thf( ^ [SV108: $i] : ^ [SV107: $i] : ( SV108 = SV107 ) ))]]) ).
thf(310,plain,
( ( ( in
@ ( kpair
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK11_SY371
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK2_SY284 )
= $true )
| ( $false = $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[140:[bind(SV21,$thf( ^ [SV103: $i] : ^ [SV104: $i] : $false ))]]) ).
thf(311,plain,
! [SV102: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK11_SY371
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) )
@ sK2_SY284 )
= $true )
| ( ( ~ ( SV102 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( ~ ( SV102
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[140:[bind(SV21,$thf( ^ [SV100: $i] : ^ [SV101: $i] : ~ ( SV102 @ SV100 @ SV101 ) ))]]) ).
thf(313,plain,
( ( ( in
@ ( kpair
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK11_SY371
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK2_SY284 )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true )
| ( ( ( sK6_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK7_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[140:[bind(SV21,$thf( ^ [SV108: $i] : ^ [SV107: $i] : ( SV108 = SV107 ) ))]]) ).
thf(316,plain,
! [SV24: $i,SV25: $i,SV102: $i > $i > $o,SV82: $i] :
( ( ( in
@ ( kpair @ SV82
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 ) )
@ sK3_SY289 )
= $false )
| ( ( in @ SV82 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ SV82 )
@ sK2_SY284 )
= $false )
| ( ( ~ ( SV102 @ SV25 @ SV24 ) )
= $true )
| ( ( ~ ( SV102
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 ) ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[143:[bind(SV21,$thf( ^ [SV100: $i] : ^ [SV101: $i] : ~ ( SV102 @ SV100 @ SV101 ) ))]]) ).
thf(317,plain,
! [SV24: $i,SV25: $i,SV82: $i] :
( ( ( in
@ ( kpair @ SV82
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV25
@ SV24 ) )
@ sK3_SY289 )
= $false )
| ( ( in @ SV82 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV82 )
@ sK2_SY284 )
= $false )
| ( ( ( SV25 != SV24 ) )
= $true )
| ( ( ( ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= ( sK9_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV25
@ SV24 ) ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[143:[bind(SV21,$thf( ^ [SY405: $i] : ^ [SY406: $i] : ( SY405 != SY406 ) ))]]) ).
thf(321,plain,
! [SV102: $i > $i > $o,SV83: $i] :
( ( ( in
@ ( kpair @ SV83
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) )
@ sK3_SY289 )
= $false )
| ( ( in @ SV83 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ SV83 )
@ sK2_SY284 )
= $false )
| ( ( ~ ( SV102 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( ~ ( SV102
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[144:[bind(SV21,$thf( ^ [SV100: $i] : ^ [SV101: $i] : ~ ( SV102 @ SV100 @ SV101 ) ))]]) ).
thf(324,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV9: $i > $i > $o] :
( ( ( SV9 @ SV4 @ SV5 )
= $false )
| ( ( ( SV9 @ SV4 @ SV5 )
= ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV9 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[67]) ).
thf(325,plain,
! [SV3: $i > $i > $o,SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( SV3 @ SV4 @ SV5 )
= $true )
| ( ( ( SV3 @ SV4 @ SV5 )
= ( ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[70]) ).
thf(326,plain,
! [SV21: $i > $i > $o,SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( ( SV21 @ SV25 @ SV24 )
= ( ~ ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[72]) ).
thf(327,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV28: $i > $i > $o] :
( ( ( SV28 @ SV25 @ SV24 )
= $false )
| ( ( ( SV28 @ SV25 @ SV24 )
= ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV28 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[84]) ).
thf(328,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false )
| ( ( ( SV25 = SV24 )
= ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[85]) ).
thf(329,plain,
! [SV22: $i,SV23: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
!= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[93]) ).
thf(330,plain,
( ( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( ( in @ ( kpair @ sK4_SY293 @ sK4_SY293 ) @ sK2_SY284 )
= ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK3_SY289 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[165]) ).
thf(331,plain,
( ( ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK2_SY284 )
= ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[168]) ).
thf(332,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV9: $i > $i > $o] :
( ( ( ~ ( ( SV9 @ SV4 @ SV5 )
| ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV9 @ SX0 @ SX1 ) ) ) )
| ~ ( ~ ( SV9 @ SV4 @ SV5 )
| ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV9 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[324]) ).
thf(333,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV9: $i > $i > $o] :
( ( ( ( SV9 @ SV4 @ SV5 )
= ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV9 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[324]) ).
thf(334,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV3: $i > $i > $o] :
( ( ( ~ ( ( SV3 @ SV4 @ SV5 )
| ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) ) )
| ~ ( ~ ( SV3 @ SV4 @ SV5 )
| ~ ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) ) ) )
= $false )
| ( ( SV3 @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[325]) ).
thf(335,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV3: $i > $i > $o] :
( ( ( ( SV3 @ SV4 @ SV5 )
= ( ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) ) ) )
= $false )
| ( ( SV3 @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[325]) ).
thf(336,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( ~ ( ( SV21 @ SV25 @ SV24 )
| ~ ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) ) )
| ~ ( ~ ( SV21 @ SV25 @ SV24 )
| ~ ~ ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[326]) ).
thf(337,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV25 @ SV24 )
= ( ~ ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[326]) ).
thf(338,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV28: $i > $i > $o] :
( ( ( ~ ( ( SV28 @ SV25 @ SV24 )
| ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV28 @ SX0 @ SX1 ) ) ) )
| ~ ( ~ ( SV28 @ SV25 @ SV24 )
| ~ ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV28 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV28 @ SV25 @ SV24 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[327]) ).
thf(339,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV28: $i > $i > $o] :
( ( ( ( SV28 @ SV25 @ SV24 )
= ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV28 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV28 @ SV25 @ SV24 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[327]) ).
thf(340,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( ~ ( ( SV25 = SV24 )
| ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
| ~ ( ( SV25 != SV24 )
| ~ ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) ) )
= $false )
| ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[328]) ).
thf(342,plain,
! [SV22: $i,SV23: $i,SV21: $i > $i > $o] :
( ( ( ~ ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
| ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
!= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) ) )
| ~ ( ~ ( SV21 @ sK4_SY293 @ sK5_SY296 )
| ~ ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
!= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[329]) ).
thf(343,plain,
! [SV22: $i,SV23: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
!= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[329]) ).
thf(344,plain,
( ( ( ~ ( ( in @ ( kpair @ sK4_SY293 @ sK4_SY293 ) @ sK2_SY284 )
| ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK3_SY289 ) )
| ~ ( ~ ( in @ ( kpair @ sK4_SY293 @ sK4_SY293 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK3_SY289 ) ) )
= $false )
| ( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK3_SY289 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[330]) ).
thf(345,plain,
( ( ( ( in @ ( kpair @ sK4_SY293 @ sK4_SY293 ) @ sK2_SY284 )
= ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK3_SY289 ) )
= $false )
| ( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK3_SY289 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[330]) ).
thf(346,plain,
( ( ( ~ ( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK2_SY284 )
| ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 ) )
| ~ ( ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 ) ) )
= $false )
| ( ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[331]) ).
thf(347,plain,
( ( ( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK2_SY284 )
= ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 ) )
= $false )
| ( ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[331]) ).
thf(349,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV9: $i > $i > $o] :
( ( ( ~ ( ~ ( SV9 @ SV4 @ SV5 )
| ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV9 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[332]) ).
thf(350,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV3: $i > $i > $o] :
( ( ( ~ ( ( SV3 @ SV4 @ SV5 )
| ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) ) ) )
= $false )
| ( ( SV3 @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[334]) ).
thf(352,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( ~ ( ( SV21 @ SV25 @ SV24 )
| ~ ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(355,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV28: $i > $i > $o] :
( ( ( ~ ( ~ ( SV28 @ SV25 @ SV24 )
| ~ ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV28 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV28 @ SV25 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[338]) ).
thf(357,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( ~ ( ( SV25 != SV24 )
| ~ ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) ) )
= $false )
| ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(358,plain,
! [SV22: $i,SV23: $i,SV21: $i > $i > $o] :
( ( ( ~ ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
| ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
!= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[342]) ).
thf(361,plain,
( ( ( ~ ( ~ ( in @ ( kpair @ sK4_SY293 @ sK4_SY293 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK3_SY289 ) ) )
= $false )
| ( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK3_SY289 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[344]) ).
thf(363,plain,
( ( ( ~ ( ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 ) ) )
= $false )
| ( ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(365,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV9: $i > $i > $o] :
( ( ( ~ ( SV9 @ SV4 @ SV5 )
| ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV9 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(366,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV3: $i > $i > $o] :
( ( ( ( SV3 @ SV4 @ SV5 )
| ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) ) )
= $true )
| ( ( SV3 @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(368,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ SV25 @ SV24 )
| ~ ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(371,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV28: $i > $i > $o] :
( ( ( ~ ( SV28 @ SV25 @ SV24 )
| ~ ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV28 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV28 @ SV25 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(373,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( ( SV25 != SV24 )
| ~ ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
= $true )
| ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(374,plain,
! [SV22: $i,SV23: $i,SV21: $i > $i > $o] :
( ( ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
| ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
!= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[358]) ).
thf(377,plain,
( ( ( ~ ( in @ ( kpair @ sK4_SY293 @ sK4_SY293 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK3_SY289 ) )
= $true )
| ( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK3_SY289 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(379,plain,
( ( ( ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK2_SY284 )
| ~ ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 ) )
= $true )
| ( ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(381,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV9: $i > $i > $o] :
( ( ( ~ ( SV9 @ SV4 @ SV5 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV9 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(382,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV4 @ SV5 )
= $true )
| ( ( ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) ) )
= $true )
| ( ( SV3 @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(384,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( ~ ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(387,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV28: $i > $i > $o] :
( ( ( ~ ( SV28 @ SV25 @ SV24 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV28 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV28 @ SV25 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(389,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( ( SV25 != SV24 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
= $true )
| ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(390,plain,
! [SV22: $i,SV23: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
!= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[374]) ).
thf(393,plain,
( ( ( ~ ( in @ ( kpair @ sK4_SY293 @ sK4_SY293 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK3_SY289 ) )
= $true )
| ( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK3_SY289 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[377]) ).
thf(395,plain,
( ( ( ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 ) )
= $true )
| ( ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(396,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV9: $i > $i > $o] :
( ( ( SV9 @ SV4 @ SV5 )
= $false )
| ( ( ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV9 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(397,plain,
! [SV3: $i > $i > $o,SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) )
= $false )
| ( ( SV3 @ SV4 @ SV5 )
= $true )
| ( ( SV3 @ SV4 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(399,plain,
! [SV21: $i > $i > $o,SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(401,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV28: $i > $i > $o] :
( ( ( SV28 @ SV25 @ SV24 )
= $false )
| ( ( ~ ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV28 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV28 @ SV25 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(402,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( SV25 = SV24 )
= $false )
| ( ( ~ ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
= $true )
| ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(403,plain,
! [SV21: $i > $i > $o,SV22: $i,SV23: $i] :
( ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(405,plain,
( ( ( in @ ( kpair @ sK4_SY293 @ sK4_SY293 ) @ sK2_SY284 )
= $false )
| ( ( ~ ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK3_SY289 ) )
= $true )
| ( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK3_SY289 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(406,plain,
( ( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK2_SY284 )
= $false )
| ( ( ~ ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 ) )
= $true )
| ( ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(407,plain,
! [SV9: $i > $i > $o,SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV9 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV9 @ SV4 @ SV5 )
= $false )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(410,plain,
! [SV28: $i > $i > $o,SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV28 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV28 @ SV25 @ SV24 )
= $false )
| ( ( SV28 @ SV25 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(411,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false )
| ( ( SV25 = SV24 )
= $false )
| ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(413,plain,
( ( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( in @ ( kpair @ sK4_SY293 @ sK4_SY293 ) @ sK2_SY284 )
= $false )
| ( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK3_SY289 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(414,plain,
( ( ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK2_SY284 )
= $false )
| ( ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(419,plain,
! [SV2: $i,SV1: $i,SV132: $i > $i > $i,SV5: $i,SV4: $i,SV131: $i > $i > $i] :
( ( ( in @ ( SV131 @ SV4 @ SV5 ) @ ( SV132 @ SV4 @ SV5 ) )
= $false )
| ( ( in @ ( SV131 @ SV4 @ SV5 ) @ ( SV132 @ SV4 @ SV5 ) )
= $false )
| ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( in @ ( SV131 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[333:[bind(SV9,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( in @ ( SV131 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ))]]) ).
thf(420,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV143: $i > $i > $o] :
( ( ( ~ ( SV143 @ SV4 @ SV5 ) )
= $true )
| ( ( ~ ( SV143 @ SV4 @ SV5 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV143 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[335:[bind(SV3,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV143 @ SX0 @ SX1 ) ))]]) ).
thf(422,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV154: $i > $i > $o] :
( ( ( ~ ( SV154 @ SV25 @ SV24 ) )
= $true )
| ( ( ~ ( SV154 @ SV25 @ SV24 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV154 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[337:[bind(SV21,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV154 @ SX0 @ SX1 ) ))]]) ).
thf(425,plain,
! [SV22: $i,SV23: $i,SV166: $i > $i > $i,SV24: $i,SV25: $i,SV165: $i > $i > $i] :
( ( ( in @ ( SV165 @ SV25 @ SV24 ) @ ( SV166 @ SV25 @ SV24 ) )
= $false )
| ( ( in @ ( SV165 @ SV25 @ SV24 ) @ ( SV166 @ SV25 @ SV24 ) )
= $false )
| ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( in @ ( SV165 @ SX0 @ SX1 ) @ ( SV166 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[339:[bind(SV28,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( in @ ( SV165 @ SX0 @ SX1 ) @ ( SV166 @ SX0 @ SX1 ) ) ))]]) ).
thf(426,plain,
! [SV22: $i,SV23: $i,SV24: $i] :
( ( ( in @ ( kpair @ SV24 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false )
| ( ( in @ ( kpair @ SV24 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[411:[bind(SV25,$thf( SV24 ))]]) ).
thf(427,plain,
! [SV21: $i > $i > $o] :
( ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( ~ ! [SY451: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY451 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV21 ) @ SY451 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY451 @ ( sK23_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $true ) ),
inference(extuni,[status(esa)],[403:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(428,plain,
! [SV21: $i > $i > $o] :
( ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( ~ ! [SY451: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY451 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV21 ) @ SY451 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY451 @ ( sK23_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $false ) ),
inference(extuni,[status(esa)],[403:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(429,plain,
! [SV22: $i,SV23: $i,SV177: $i > $i > $o] :
( ( ( ~ ( SV177 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( ~ ( SV177 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
!= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV177 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[343:[bind(SV21,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV177 @ SX0 @ SX1 ) ))]]) ).
thf(431,plain,
( ( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( sK2_SY284 = sK3_SY289 )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $false ) ),
inference(extuni,[status(esa)],[345]) ).
thf(432,plain,
( ( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( sK2_SY284 = sK3_SY289 )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK4_SY293 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false ) ),
inference(extuni,[status(esa)],[345]) ).
thf(433,plain,
( ( ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( sK2_SY284 = sK3_SY289 )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $false ) ),
inference(extuni,[status(esa)],[347]) ).
thf(434,plain,
( ( ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( sK2_SY284 = sK3_SY289 )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ sK5_SY296 @ sK5_SY296 ) )
= $false ) ),
inference(extuni,[status(esa)],[347]) ).
thf(435,plain,
! [SV22: $i,SV23: $i,SV24: $i] :
( ( in @ ( kpair @ SV24 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ),
inference(extuni,[status(esa)],[85:[bind(SV25,$thf( SV24 ))]]) ).
thf(436,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ! [SY459: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY459 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV21 ) @ SY459 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY459 @ ( sK25_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extuni,[status(esa)],[93:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(437,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ! [SY459: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY459 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV21 ) @ SY459 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY459 @ ( sK25_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extuni,[status(esa)],[93:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(438,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX0 @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extuni,[status(esa)],[96:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 )),bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(439,plain,
! [SV21: $i > $i > $o,SV24: $i,SV25: $i] :
( ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( ~ ! [SY463: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY463 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ SY463 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY463 @ ( sK27_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extuni,[status(esa)],[96:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(440,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX0 @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extuni,[status(esa)],[96:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 )),bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(441,plain,
! [SV21: $i > $i > $o,SV24: $i,SV25: $i] :
( ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( ~ ! [SY463: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY463 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ SY463 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY463 @ ( sK27_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extuni,[status(esa)],[96:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(442,plain,
! [SV21: $i > $i > $o,SV22: $i,SV23: $i] :
( ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extuni,[status(esa)],[96:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(443,plain,
! [SV21: $i > $i > $o] :
( ( ( SV21 @ ( sK8_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK9_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( in @ ( kpair @ ( sK10_SY375 @ SV21 @ sK4_SY293 @ sK5_SY296 ) @ ( sK9_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 )
= $true ) ),
inference(extuni,[status(esa)],[121:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(444,plain,
! [SV21: $i > $i > $o] :
( ( ( SV21 @ ( sK8_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK9_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( in @ ( sK10_SY375 @ SV21 @ sK4_SY293 @ sK5_SY296 ) @ sK1_A )
= $true ) ),
inference(extuni,[status(esa)],[136:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(445,plain,
! [SV21: $i > $i > $o] :
( ( ( SV21 @ ( sK8_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK9_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( in @ ( kpair @ ( sK8_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK10_SY375 @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK2_SY284 )
= $true ) ),
inference(extuni,[status(esa)],[137:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(446,plain,
! [SV82: $i,SV21: $i > $i > $o] :
( ( ( SV21 @ ( sK8_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK9_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( in @ ( kpair @ ( sK8_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ SV82 ) @ sK2_SY284 )
= $false )
| ( ( in @ SV82 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV82 @ ( sK9_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 )
= $false ) ),
inference(extuni,[status(esa)],[143:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(447,plain,
( ( ( sK3_SY289
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
= $false )
| ( ( in @ sK4_SY293 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ sK4_SY293 @ sK4_SY293 ) @ sK2_SY284 )
= $false ) ),
inference(extuni,[status(esa)],[171:[bind(SV84,$thf( sK4_SY293 ))]]) ).
thf(448,plain,
( ( ( sK2_SY284
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
= $false )
| ( ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( in @ sK5_SY296 @ sK1_A )
= $false ) ),
inference(extuni,[status(esa)],[174:[bind(SV84,$thf( sK5_SY296 ))]]) ).
thf(449,plain,
( ( ( sK28_E = sK29_E )
= $true )
| ( ( ~ ! [SY467: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY467 @ sK1_A )
| ~ ( in @ ( kpair @ sK28_E @ SY467 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY467 @ sK29_E ) @ sK3_SY289 ) ) )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extuni,[status(esa)],[192:[bind(SV85,$thf( sK1_A )),bind(SV86,$thf( sK1_A ))]]) ).
thf(450,plain,
( ( ( sK28_E = sK29_E )
= $false )
| ( ( ~ ! [SY467: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY467 @ sK1_A )
| ~ ( in @ ( kpair @ sK28_E @ SY467 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY467 @ sK29_E ) @ sK3_SY289 ) ) )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extuni,[status(esa)],[192:[bind(SV85,$thf( sK1_A )),bind(SV86,$thf( sK1_A ))]]) ).
thf(451,plain,
( ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX0 @ ( sK31_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extuni,[status(esa)],[195:[bind(SV87,$thf( sK5_SY296 )),bind(SV88,$thf( sK4_SY293 )),bind(SV85,$thf( sK1_A )),bind(SV86,$thf( sK1_A ))]]) ).
thf(452,plain,
! [SV87: $i,SV88: $i] :
( ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $true )
| ( ( ~ ! [SY471: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY471 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ SY471 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY471 @ ( sK31_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extuni,[status(esa)],[195:[bind(SV85,$thf( sK1_A )),bind(SV86,$thf( sK1_A ))]]) ).
thf(453,plain,
( ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX0 @ ( sK31_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extuni,[status(esa)],[195:[bind(SV87,$thf( sK5_SY296 )),bind(SV88,$thf( sK4_SY293 )),bind(SV85,$thf( sK1_A )),bind(SV86,$thf( sK1_A ))]]) ).
thf(454,plain,
! [SV87: $i,SV88: $i] :
( ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $false )
| ( ( ~ ! [SY471: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY471 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ SY471 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY471 @ ( sK31_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extuni,[status(esa)],[195:[bind(SV85,$thf( sK1_A )),bind(SV86,$thf( sK1_A ))]]) ).
thf(455,plain,
! [SV85: $i,SV86: $i] :
( ( ( ( dpsetconstr @ SV86 @ SV85
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) ) )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extuni,[status(esa)],[195:[bind(SV87,$thf( sK5_SY296 )),bind(SV88,$thf( sK4_SY293 ))]]) ).
thf(456,plain,
( ( ( sK4_SY293 = sK5_SY296 )
= $true )
| ( ( ( sK18_E @ sK5_SY296 @ sK4_SY293 )
= ( sK19_E @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( in @ ( kpair @ ( sK20_SY387 @ sK4_SY293 @ sK5_SY296 ) @ ( sK19_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 )
= $true ) ),
inference(extuni,[status(esa)],[220:[bind(SV87,$thf( sK5_SY296 )),bind(SV88,$thf( sK4_SY293 ))]]) ).
thf(457,plain,
( ( ( sK4_SY293 = sK5_SY296 )
= $true )
| ( ( ( sK18_E @ sK5_SY296 @ sK4_SY293 )
= ( sK19_E @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( in @ ( sK20_SY387 @ sK4_SY293 @ sK5_SY296 ) @ sK1_A )
= $true ) ),
inference(extuni,[status(esa)],[235:[bind(SV87,$thf( sK5_SY296 )),bind(SV88,$thf( sK4_SY293 ))]]) ).
thf(458,plain,
( ( ( sK4_SY293 = sK5_SY296 )
= $true )
| ( ( ( sK18_E @ sK5_SY296 @ sK4_SY293 )
= ( sK19_E @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( in @ ( kpair @ ( sK18_E @ sK5_SY296 @ sK4_SY293 ) @ ( sK20_SY387 @ sK4_SY293 @ sK5_SY296 ) ) @ sK2_SY284 )
= $true ) ),
inference(extuni,[status(esa)],[236:[bind(SV87,$thf( sK5_SY296 )),bind(SV88,$thf( sK4_SY293 ))]]) ).
thf(459,plain,
! [SV89: $i] :
( ( ( sK4_SY293 = sK5_SY296 )
= $true )
| ( ( ( sK18_E @ sK5_SY296 @ sK4_SY293 )
= ( sK19_E @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( in @ ( kpair @ ( sK18_E @ sK5_SY296 @ sK4_SY293 ) @ SV89 ) @ sK2_SY284 )
= $false )
| ( ( in @ SV89 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV89 @ ( sK19_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 )
= $false ) ),
inference(extuni,[status(esa)],[242:[bind(SV87,$thf( sK5_SY296 )),bind(SV88,$thf( sK4_SY293 ))]]) ).
thf(461,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV143: $i > $i > $o] :
( ( ( SV143 @ SV4 @ SV5 )
= $false )
| ( ( ~ ( SV143 @ SV4 @ SV5 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV143 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(463,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV154: $i > $i > $o] :
( ( ( SV154 @ SV25 @ SV24 )
= $false )
| ( ( ~ ( SV154 @ SV25 @ SV24 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV154 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(464,plain,
! [SV21: $i > $i > $o] :
( ( ( ! [SY451: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY451 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV21 ) @ SY451 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY451 @ ( sK23_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[428]) ).
thf(465,plain,
! [SV21: $i > $i > $o] :
( ( ( ! [SY451: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY451 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV21 ) @ SY451 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY451 @ ( sK23_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(467,plain,
! [SV22: $i,SV23: $i,SV177: $i > $i > $o] :
( ( ( SV177 @ sK4_SY293 @ sK5_SY296 )
= $false )
| ( ( ~ ( SV177 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
!= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV177 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(468,plain,
! [SV21: $i > $i > $o] :
( ( ( ! [SY459: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY459 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV21 ) @ SY459 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY459 @ ( sK25_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[437]) ).
thf(469,plain,
! [SV21: $i > $i > $o] :
( ( ( ! [SY459: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY459 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV21 ) @ SY459 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY459 @ ( sK25_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(470,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i] :
( ( ( ! [SY463: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY463 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ SY463 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY463 @ ( sK27_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[441]) ).
thf(471,plain,
! [SV21: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX0 @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[440]) ).
thf(472,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i] :
( ( ( ! [SY463: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY463 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ SY463 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY463 @ ( sK27_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(473,plain,
! [SV21: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX0 @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(474,plain,
( ( ( ! [SY467: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY467 @ sK1_A )
| ~ ( in @ ( kpair @ sK28_E @ SY467 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY467 @ sK29_E ) @ sK3_SY289 ) ) )
= $true )
| ( ( sK28_E = sK29_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(475,plain,
( ( ( ! [SY467: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY467 @ sK1_A )
| ~ ( in @ ( kpair @ sK28_E @ SY467 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY467 @ sK29_E ) @ sK3_SY289 ) ) )
= $false )
| ( ( sK28_E = sK29_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(476,plain,
! [SV88: $i,SV87: $i] :
( ( ( ! [SY471: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY471 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ SY471 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY471 @ ( sK31_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $false )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[454]) ).
thf(477,plain,
( ( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX0 @ ( sK31_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[453]) ).
thf(478,plain,
! [SV88: $i,SV87: $i] :
( ( ( ! [SY471: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY471 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ SY471 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY471 @ ( sK31_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(479,plain,
( ( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX0 @ ( sK31_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(481,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV143: $i > $i > $o] :
( ( ( SV143 @ SV4 @ SV5 )
= $false )
| ( ( SV143 @ SV4 @ SV5 )
= $false )
| ( ( ~ ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV143 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(483,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV154: $i > $i > $o] :
( ( ( SV154 @ SV25 @ SV24 )
= $false )
| ( ( SV154 @ SV25 @ SV24 )
= $false )
| ( ( ~ ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV154 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(484,plain,
! [SV21: $i > $i > $o,SV184: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV184 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV21 ) @ SV184 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV184 @ ( sK23_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(485,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK32_SY451 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV21 ) @ ( sK32_SY451 @ SV21 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK32_SY451 @ SV21 ) @ ( sK23_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[465]) ).
thf(487,plain,
! [SV22: $i,SV23: $i,SV177: $i > $i > $o] :
( ( ( SV177 @ sK4_SY293 @ sK5_SY296 )
= $false )
| ( ( SV177 @ sK4_SY293 @ sK5_SY296 )
= $false )
| ( ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
!= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV177 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(488,plain,
! [SV21: $i > $i > $o,SV185: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV185 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV21 ) @ SV185 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV185 @ ( sK25_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(489,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK33_SY459 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV21 ) @ ( sK33_SY459 @ SV21 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK33_SY459 @ SV21 ) @ ( sK25_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[469]) ).
thf(490,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i,SV186: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV186 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ SV186 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV186 @ ( sK27_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(491,plain,
! [SV21: $i > $i > $o,SV187: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV187 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ SV187 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV187 @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(492,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK34_SY463 @ SV21 @ SV25 @ SV24 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK34_SY463 @ SV21 @ SV25 @ SV24 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK34_SY463 @ SV21 @ SV25 @ SV24 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[472]) ).
thf(493,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK35_SX0 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK35_SX0 @ SV21 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK35_SX0 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[473]) ).
thf(494,plain,
! [SV188: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV188 @ sK1_A )
| ~ ( in @ ( kpair @ sK28_E @ SV188 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV188 @ sK29_E ) @ sK3_SY289 ) ) )
= $true )
| ( ( sK28_E = sK29_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(495,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ sK36_SY467 @ sK1_A )
| ~ ( in @ ( kpair @ sK28_E @ sK36_SY467 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ sK36_SY467 @ sK29_E ) @ sK3_SY289 ) ) )
= $false )
| ( ( sK28_E = sK29_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[475]) ).
thf(496,plain,
! [SV88: $i,SV87: $i,SV189: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV189 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ SV189 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV189 @ ( sK31_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $false )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(497,plain,
! [SV190: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV190 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ SV190 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV190 @ ( sK31_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(498,plain,
! [SV87: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK37_SY471 @ SV88 @ SV87 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ ( sK37_SY471 @ SV88 @ SV87 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK37_SY471 @ SV88 @ SV87 ) @ ( sK31_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[478]) ).
thf(499,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ sK38_SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ sK38_SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ sK38_SX0 @ ( sK31_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[479]) ).
thf(501,plain,
! [SV143: $i > $i > $o,SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV143 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV143 @ SV4 @ SV5 )
= $false )
| ( ( SV143 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(503,plain,
! [SV154: $i > $i > $o,SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV154 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV154 @ SV25 @ SV24 )
= $false )
| ( ( SV154 @ SV25 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(504,plain,
! [SV21: $i > $i > $o,SV184: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV184 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV21 ) @ SV184 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV184 @ ( sK23_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(505,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK32_SY451 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV21 ) @ ( sK32_SY451 @ SV21 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK32_SY451 @ SV21 ) @ ( sK23_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[485]) ).
thf(507,plain,
! [SV177: $i > $i > $o,SV22: $i,SV23: $i] :
( ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV177 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV177 @ sK4_SY293 @ sK5_SY296 )
= $false )
| ( ( SV177 @ sK4_SY293 @ sK5_SY296 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(508,plain,
! [SV21: $i > $i > $o,SV185: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV185 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV21 ) @ SV185 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV185 @ ( sK25_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(509,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK33_SY459 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV21 ) @ ( sK33_SY459 @ SV21 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK33_SY459 @ SV21 ) @ ( sK25_E @ SV21 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[489]) ).
thf(510,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i,SV186: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV186 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ SV186 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV186 @ ( sK27_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(511,plain,
! [SV21: $i > $i > $o,SV187: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV187 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ SV187 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV187 @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(512,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK34_SY463 @ SV21 @ SV25 @ SV24 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK34_SY463 @ SV21 @ SV25 @ SV24 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK34_SY463 @ SV21 @ SV25 @ SV24 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(513,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK35_SX0 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK35_SX0 @ SV21 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK35_SX0 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(514,plain,
! [SV188: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV188 @ sK1_A )
| ~ ( in @ ( kpair @ sK28_E @ SV188 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV188 @ sK29_E ) @ sK3_SY289 ) ) )
= $false )
| ( ( sK28_E = sK29_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(515,plain,
( ( ( ~ ( ~ ~ ( ~ ( in @ sK36_SY467 @ sK1_A )
| ~ ( in @ ( kpair @ sK28_E @ sK36_SY467 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ sK36_SY467 @ sK29_E ) @ sK3_SY289 ) ) )
= $true )
| ( ( sK28_E = sK29_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[495]) ).
thf(516,plain,
! [SV88: $i,SV87: $i,SV189: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV189 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ SV189 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV189 @ ( sK31_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $false )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(517,plain,
! [SV190: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV190 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ SV190 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV190 @ ( sK31_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(518,plain,
! [SV87: $i,SV88: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK37_SY471 @ SV88 @ SV87 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ ( sK37_SY471 @ SV88 @ SV87 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK37_SY471 @ SV88 @ SV87 ) @ ( sK31_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(519,plain,
( ( ( ~ ( ~ ~ ( ~ ( in @ sK38_SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ sK38_SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ sK38_SX0 @ ( sK31_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(520,plain,
! [SV21: $i > $i > $o,SV184: $i] :
( ( ( ~ ~ ( ~ ( in @ SV184 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV21 ) @ SV184 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV184 @ ( sK23_E @ SV21 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[504]) ).
thf(521,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK32_SY451 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV21 ) @ ( sK32_SY451 @ SV21 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK32_SY451 @ SV21 ) @ ( sK23_E @ SV21 ) ) @ sK3_SY289 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(522,plain,
! [SV21: $i > $i > $o,SV185: $i] :
( ( ( ~ ~ ( ~ ( in @ SV185 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV21 ) @ SV185 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV185 @ ( sK25_E @ SV21 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(523,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK33_SY459 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV21 ) @ ( sK33_SY459 @ SV21 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK33_SY459 @ SV21 ) @ ( sK25_E @ SV21 ) ) @ sK3_SY289 ) )
= $false )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(524,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i,SV186: $i] :
( ( ( ~ ~ ( ~ ( in @ SV186 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ SV186 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV186 @ ( sK27_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(525,plain,
! [SV21: $i > $i > $o,SV187: $i] :
( ( ( ~ ~ ( ~ ( in @ SV187 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ SV187 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV187 @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(526,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK34_SY463 @ SV21 @ SV25 @ SV24 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK34_SY463 @ SV21 @ SV25 @ SV24 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK34_SY463 @ SV21 @ SV25 @ SV24 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(527,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK35_SX0 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK35_SX0 @ SV21 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK35_SX0 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(528,plain,
! [SV188: $i] :
( ( ( ~ ~ ( ~ ( in @ SV188 @ sK1_A )
| ~ ( in @ ( kpair @ sK28_E @ SV188 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV188 @ sK29_E ) @ sK3_SY289 ) )
= $true )
| ( ( sK28_E = sK29_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[514]) ).
thf(529,plain,
( ( ( ~ ~ ( ~ ( in @ sK36_SY467 @ sK1_A )
| ~ ( in @ ( kpair @ sK28_E @ sK36_SY467 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ sK36_SY467 @ sK29_E ) @ sK3_SY289 ) )
= $false )
| ( ( sK28_E = sK29_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(530,plain,
! [SV88: $i,SV87: $i,SV189: $i] :
( ( ( ~ ~ ( ~ ( in @ SV189 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ SV189 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV189 @ ( sK31_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $false )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[516]) ).
thf(531,plain,
! [SV190: $i] :
( ( ( ~ ~ ( ~ ( in @ SV190 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ SV190 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SV190 @ ( sK31_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[517]) ).
thf(532,plain,
! [SV87: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK37_SY471 @ SV88 @ SV87 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ ( sK37_SY471 @ SV88 @ SV87 ) ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ ( sK37_SY471 @ SV88 @ SV87 ) @ ( sK31_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) )
= $false )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(533,plain,
( ( ( ~ ~ ( ~ ( in @ sK38_SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ sK38_SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ sK38_SX0 @ ( sK31_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) )
= $false )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(534,plain,
! [SV21: $i > $i > $o,SV184: $i] :
( ( ( ~ ~ ( ~ ( in @ SV184 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV21 ) @ SV184 ) @ sK2_SY284 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV184 @ ( sK23_E @ SV21 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(535,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK32_SY451 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV21 ) @ ( sK32_SY451 @ SV21 ) ) @ sK2_SY284 ) ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(536,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK32_SY451 @ SV21 ) @ ( sK23_E @ SV21 ) ) @ sK3_SY289 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(537,plain,
! [SV21: $i > $i > $o,SV185: $i] :
( ( ( ~ ~ ( ~ ( in @ SV185 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV21 ) @ SV185 ) @ sK2_SY284 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV185 @ ( sK25_E @ SV21 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(538,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK33_SY459 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV21 ) @ ( sK33_SY459 @ SV21 ) ) @ sK2_SY284 ) ) )
= $false )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[523]) ).
thf(539,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK33_SY459 @ SV21 ) @ ( sK25_E @ SV21 ) ) @ sK3_SY289 ) )
= $false )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[523]) ).
thf(540,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i,SV186: $i] :
( ( ( ~ ~ ( ~ ( in @ SV186 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ SV186 ) @ sK2_SY284 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV186 @ ( sK27_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[524]) ).
thf(541,plain,
! [SV21: $i > $i > $o,SV187: $i] :
( ( ( ~ ~ ( ~ ( in @ SV187 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ SV187 ) @ sK2_SY284 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV187 @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[525]) ).
thf(542,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK34_SY463 @ SV21 @ SV25 @ SV24 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK34_SY463 @ SV21 @ SV25 @ SV24 ) ) @ sK2_SY284 ) ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(543,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK34_SY463 @ SV21 @ SV25 @ SV24 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(544,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK35_SX0 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK35_SX0 @ SV21 ) ) @ sK2_SY284 ) ) )
= $false )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[527]) ).
thf(545,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK35_SX0 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[527]) ).
thf(546,plain,
! [SV188: $i] :
( ( ( ~ ~ ( ~ ( in @ SV188 @ sK1_A )
| ~ ( in @ ( kpair @ sK28_E @ SV188 ) @ sK2_SY284 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV188 @ sK29_E ) @ sK3_SY289 ) )
= $true )
| ( ( sK28_E = sK29_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[528]) ).
thf(547,plain,
( ( ( ~ ~ ( ~ ( in @ sK36_SY467 @ sK1_A )
| ~ ( in @ ( kpair @ sK28_E @ sK36_SY467 ) @ sK2_SY284 ) ) )
= $false )
| ( ( sK28_E = sK29_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[529]) ).
thf(548,plain,
( ( ( ~ ( in @ ( kpair @ sK36_SY467 @ sK29_E ) @ sK3_SY289 ) )
= $false )
| ( ( sK28_E = sK29_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[529]) ).
thf(549,plain,
! [SV88: $i,SV87: $i,SV189: $i] :
( ( ( ~ ~ ( ~ ( in @ SV189 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ SV189 ) @ sK2_SY284 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV189 @ ( sK31_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $false )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[530]) ).
thf(550,plain,
! [SV190: $i] :
( ( ( ~ ~ ( ~ ( in @ SV190 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ SV190 ) @ sK2_SY284 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV190 @ ( sK31_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[531]) ).
thf(551,plain,
! [SV87: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK37_SY471 @ SV88 @ SV87 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ ( sK37_SY471 @ SV88 @ SV87 ) ) @ sK2_SY284 ) ) )
= $false )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[532]) ).
thf(552,plain,
! [SV87: $i,SV88: $i] :
( ( ( ~ ( in @ ( kpair @ ( sK37_SY471 @ SV88 @ SV87 ) @ ( sK31_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) )
= $false )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[532]) ).
thf(553,plain,
( ( ( ~ ~ ( ~ ( in @ sK38_SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ sK38_SX0 ) @ sK2_SY284 ) ) )
= $false )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(554,plain,
( ( ( ~ ( in @ ( kpair @ sK38_SX0 @ ( sK31_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) )
= $false )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(555,plain,
! [SV21: $i > $i > $o,SV184: $i] :
( ( ( ~ ( ~ ( in @ SV184 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV21 ) @ SV184 ) @ sK2_SY284 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV184 @ ( sK23_E @ SV21 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(556,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK32_SY451 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV21 ) @ ( sK32_SY451 @ SV21 ) ) @ sK2_SY284 ) ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[535]) ).
thf(557,plain,
! [SV21: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK32_SY451 @ SV21 ) @ ( sK23_E @ SV21 ) ) @ sK3_SY289 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(558,plain,
! [SV21: $i > $i > $o,SV185: $i] :
( ( ( ~ ( ~ ( in @ SV185 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV21 ) @ SV185 ) @ sK2_SY284 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV185 @ ( sK25_E @ SV21 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(559,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK33_SY459 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV21 ) @ ( sK33_SY459 @ SV21 ) ) @ sK2_SY284 ) ) )
= $true )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[538]) ).
thf(560,plain,
! [SV21: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK33_SY459 @ SV21 ) @ ( sK25_E @ SV21 ) ) @ sK3_SY289 )
= $true )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[539]) ).
thf(561,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i,SV186: $i] :
( ( ( ~ ( ~ ( in @ SV186 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ SV186 ) @ sK2_SY284 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV186 @ ( sK27_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[540]) ).
thf(562,plain,
! [SV21: $i > $i > $o,SV187: $i] :
( ( ( ~ ( ~ ( in @ SV187 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ SV187 ) @ sK2_SY284 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV187 @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(563,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK34_SY463 @ SV21 @ SV25 @ SV24 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK34_SY463 @ SV21 @ SV25 @ SV24 ) ) @ sK2_SY284 ) ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(564,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK34_SY463 @ SV21 @ SV25 @ SV24 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[543]) ).
thf(565,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK35_SX0 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK35_SX0 @ SV21 ) ) @ sK2_SY284 ) ) )
= $true )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[544]) ).
thf(566,plain,
! [SV21: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK35_SX0 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 )
= $true )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[545]) ).
thf(567,plain,
! [SV188: $i] :
( ( ( ~ ( ~ ( in @ SV188 @ sK1_A )
| ~ ( in @ ( kpair @ sK28_E @ SV188 ) @ sK2_SY284 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV188 @ sK29_E ) @ sK3_SY289 ) )
= $true )
| ( ( sK28_E = sK29_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(568,plain,
( ( ( ~ ( ~ ( in @ sK36_SY467 @ sK1_A )
| ~ ( in @ ( kpair @ sK28_E @ sK36_SY467 ) @ sK2_SY284 ) ) )
= $true )
| ( ( sK28_E = sK29_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(569,plain,
( ( ( in @ ( kpair @ sK36_SY467 @ sK29_E ) @ sK3_SY289 )
= $true )
| ( ( sK28_E = sK29_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[548]) ).
thf(570,plain,
! [SV88: $i,SV87: $i,SV189: $i] :
( ( ( ~ ( ~ ( in @ SV189 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ SV189 ) @ sK2_SY284 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV189 @ ( sK31_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $false )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(571,plain,
! [SV190: $i] :
( ( ( ~ ( ~ ( in @ SV190 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ SV190 ) @ sK2_SY284 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV190 @ ( sK31_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[550]) ).
thf(572,plain,
! [SV87: $i,SV88: $i] :
( ( ( ~ ( ~ ( in @ ( sK37_SY471 @ SV88 @ SV87 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ ( sK37_SY471 @ SV88 @ SV87 ) ) @ sK2_SY284 ) ) )
= $true )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(573,plain,
! [SV87: $i,SV88: $i] :
( ( ( in @ ( kpair @ ( sK37_SY471 @ SV88 @ SV87 ) @ ( sK31_E @ SV88 @ SV87 ) ) @ sK3_SY289 )
= $true )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[552]) ).
thf(574,plain,
( ( ( ~ ( ~ ( in @ sK38_SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ sK38_SX0 ) @ sK2_SY284 ) ) )
= $true )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[553]) ).
thf(575,plain,
( ( ( in @ ( kpair @ sK38_SX0 @ ( sK31_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 )
= $true )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[554]) ).
thf(576,plain,
! [SV21: $i > $i > $o,SV184: $i] :
( ( ( ~ ( in @ SV184 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV21 ) @ SV184 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV184 @ ( sK23_E @ SV21 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(577,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( sK32_SY451 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV21 ) @ ( sK32_SY451 @ SV21 ) ) @ sK2_SY284 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(578,plain,
! [SV21: $i > $i > $o,SV185: $i] :
( ( ( ~ ( in @ SV185 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV21 ) @ SV185 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV185 @ ( sK25_E @ SV21 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[558]) ).
thf(579,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( sK33_SY459 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV21 ) @ ( sK33_SY459 @ SV21 ) ) @ sK2_SY284 ) )
= $false )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(580,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i,SV186: $i] :
( ( ( ~ ( in @ SV186 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ SV186 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV186 @ ( sK27_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(581,plain,
! [SV21: $i > $i > $o,SV187: $i] :
( ( ( ~ ( in @ SV187 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ SV187 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV187 @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[562]) ).
thf(582,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( sK34_SY463 @ SV21 @ SV25 @ SV24 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK34_SY463 @ SV21 @ SV25 @ SV24 ) ) @ sK2_SY284 ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(583,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( sK35_SX0 @ SV21 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK35_SX0 @ SV21 ) ) @ sK2_SY284 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(584,plain,
! [SV188: $i] :
( ( ( ~ ( in @ SV188 @ sK1_A )
| ~ ( in @ ( kpair @ sK28_E @ SV188 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV188 @ sK29_E ) @ sK3_SY289 ) )
= $true )
| ( ( sK28_E = sK29_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(585,plain,
( ( ( ~ ( in @ sK36_SY467 @ sK1_A )
| ~ ( in @ ( kpair @ sK28_E @ sK36_SY467 ) @ sK2_SY284 ) )
= $false )
| ( ( sK28_E = sK29_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[568]) ).
thf(586,plain,
! [SV88: $i,SV87: $i,SV189: $i] :
( ( ( ~ ( in @ SV189 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ SV189 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV189 @ ( sK31_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $false )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[570]) ).
thf(587,plain,
! [SV190: $i] :
( ( ( ~ ( in @ SV190 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ SV190 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV190 @ ( sK31_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[571]) ).
thf(588,plain,
! [SV87: $i,SV88: $i] :
( ( ( ~ ( in @ ( sK37_SY471 @ SV88 @ SV87 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ ( sK37_SY471 @ SV88 @ SV87 ) ) @ sK2_SY284 ) )
= $false )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(589,plain,
( ( ( ~ ( in @ sK38_SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ sK38_SX0 ) @ sK2_SY284 ) )
= $false )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(590,plain,
! [SV21: $i > $i > $o,SV184: $i] :
( ( ( ~ ( in @ SV184 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK22_E @ SV21 ) @ SV184 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV184 @ ( sK23_E @ SV21 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[576]) ).
thf(591,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( sK32_SY451 @ SV21 ) @ sK1_A ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[577]) ).
thf(592,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK22_E @ SV21 ) @ ( sK32_SY451 @ SV21 ) ) @ sK2_SY284 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[577]) ).
thf(593,plain,
! [SV21: $i > $i > $o,SV185: $i] :
( ( ( ~ ( in @ SV185 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK24_E @ SV21 ) @ SV185 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV185 @ ( sK25_E @ SV21 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(594,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( sK33_SY459 @ SV21 ) @ sK1_A ) )
= $false )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[579]) ).
thf(595,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK24_E @ SV21 ) @ ( sK33_SY459 @ SV21 ) ) @ sK2_SY284 ) )
= $false )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[579]) ).
thf(596,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i,SV186: $i] :
( ( ( ~ ( in @ SV186 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ SV186 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV186 @ ( sK27_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(597,plain,
! [SV21: $i > $i > $o,SV187: $i] :
( ( ( ~ ( in @ SV187 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ SV187 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV187 @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[581]) ).
thf(598,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( sK34_SY463 @ SV21 @ SV25 @ SV24 ) @ sK1_A ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(599,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i] :
( ( ( ~ ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK34_SY463 @ SV21 @ SV25 @ SV24 ) ) @ sK2_SY284 ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(600,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( sK35_SX0 @ SV21 ) @ sK1_A ) )
= $false )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(601,plain,
! [SV21: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK35_SX0 @ SV21 ) ) @ sK2_SY284 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(602,plain,
! [SV188: $i] :
( ( ( ~ ( in @ SV188 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ sK28_E @ SV188 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV188 @ sK29_E ) @ sK3_SY289 ) )
= $true )
| ( ( sK28_E = sK29_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[584]) ).
thf(603,plain,
( ( ( ~ ( in @ sK36_SY467 @ sK1_A ) )
= $false )
| ( ( sK28_E = sK29_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[585]) ).
thf(604,plain,
( ( ( ~ ( in @ ( kpair @ sK28_E @ sK36_SY467 ) @ sK2_SY284 ) )
= $false )
| ( ( sK28_E = sK29_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[585]) ).
thf(605,plain,
! [SV88: $i,SV87: $i,SV189: $i] :
( ( ( ~ ( in @ SV189 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ SV189 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV189 @ ( sK31_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $false )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[586]) ).
thf(606,plain,
! [SV190: $i] :
( ( ( ~ ( in @ SV190 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ SV190 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV190 @ ( sK31_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[587]) ).
thf(607,plain,
! [SV87: $i,SV88: $i] :
( ( ( ~ ( in @ ( sK37_SY471 @ SV88 @ SV87 ) @ sK1_A ) )
= $false )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[588]) ).
thf(608,plain,
! [SV88: $i,SV87: $i] :
( ( ( ~ ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ ( sK37_SY471 @ SV88 @ SV87 ) ) @ sK2_SY284 ) )
= $false )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[588]) ).
thf(609,plain,
( ( ( ~ ( in @ sK38_SX0 @ sK1_A ) )
= $false )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(610,plain,
( ( ( ~ ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ sK38_SX0 ) @ sK2_SY284 ) )
= $false )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(611,plain,
! [SV21: $i > $i > $o,SV184: $i] :
( ( ( in @ SV184 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK22_E @ SV21 ) @ SV184 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV184 @ ( sK23_E @ SV21 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(612,plain,
! [SV21: $i > $i > $o] :
( ( ( in @ ( sK32_SY451 @ SV21 ) @ sK1_A )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[591]) ).
thf(613,plain,
! [SV21: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK22_E @ SV21 ) @ ( sK32_SY451 @ SV21 ) ) @ sK2_SY284 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[592]) ).
thf(614,plain,
! [SV21: $i > $i > $o,SV185: $i] :
( ( ( in @ SV185 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK24_E @ SV21 ) @ SV185 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV185 @ ( sK25_E @ SV21 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(615,plain,
! [SV21: $i > $i > $o] :
( ( ( in @ ( sK33_SY459 @ SV21 ) @ sK1_A )
= $true )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[594]) ).
thf(616,plain,
! [SV21: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK24_E @ SV21 ) @ ( sK33_SY459 @ SV21 ) ) @ sK2_SY284 )
= $true )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[595]) ).
thf(617,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i,SV186: $i] :
( ( ( in @ SV186 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ SV186 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV186 @ ( sK27_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(618,plain,
! [SV21: $i > $i > $o,SV187: $i] :
( ( ( in @ SV187 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ SV187 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV187 @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(619,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o] :
( ( ( in @ ( sK34_SY463 @ SV21 @ SV25 @ SV24 ) @ sK1_A )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[598]) ).
thf(620,plain,
! [SV21: $i > $i > $o,SV25: $i,SV24: $i] :
( ( ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK34_SY463 @ SV21 @ SV25 @ SV24 ) ) @ sK2_SY284 )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $true )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[599]) ).
thf(621,plain,
! [SV21: $i > $i > $o] :
( ( ( in @ ( sK35_SX0 @ SV21 ) @ sK1_A )
= $true )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(622,plain,
! [SV21: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK35_SX0 @ SV21 ) ) @ sK2_SY284 )
= $true )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[601]) ).
thf(623,plain,
! [SV188: $i] :
( ( ( in @ SV188 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ sK28_E @ SV188 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV188 @ sK29_E ) @ sK3_SY289 ) )
= $true )
| ( ( sK28_E = sK29_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(624,plain,
( ( ( in @ sK36_SY467 @ sK1_A )
= $true )
| ( ( sK28_E = sK29_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[603]) ).
thf(625,plain,
( ( ( in @ ( kpair @ sK28_E @ sK36_SY467 ) @ sK2_SY284 )
= $true )
| ( ( sK28_E = sK29_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[604]) ).
thf(626,plain,
! [SV88: $i,SV87: $i,SV189: $i] :
( ( ( in @ SV189 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ SV189 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV189 @ ( sK31_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $false )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(627,plain,
! [SV190: $i] :
( ( ( in @ SV190 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ SV190 ) @ sK2_SY284 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV190 @ ( sK31_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(628,plain,
! [SV87: $i,SV88: $i] :
( ( ( in @ ( sK37_SY471 @ SV88 @ SV87 ) @ sK1_A )
= $true )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[607]) ).
thf(629,plain,
! [SV88: $i,SV87: $i] :
( ( ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ ( sK37_SY471 @ SV88 @ SV87 ) ) @ sK2_SY284 )
= $true )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $true )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[608]) ).
thf(630,plain,
( ( ( in @ sK38_SX0 @ sK1_A )
= $true )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[609]) ).
thf(631,plain,
( ( ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ sK38_SX0 ) @ sK2_SY284 )
= $true )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[610]) ).
thf(632,plain,
! [SV184: $i,SV21: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK22_E @ SV21 ) @ SV184 ) @ sK2_SY284 )
= $false )
| ( ( in @ SV184 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV184 @ ( sK23_E @ SV21 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(633,plain,
! [SV185: $i,SV21: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK24_E @ SV21 ) @ SV185 ) @ sK2_SY284 )
= $false )
| ( ( in @ SV185 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV185 @ ( sK25_E @ SV21 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(634,plain,
! [SV186: $i,SV21: $i > $i > $o,SV25: $i,SV24: $i] :
( ( ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ SV186 ) @ sK2_SY284 )
= $false )
| ( ( in @ SV186 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV186 @ ( sK27_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(635,plain,
! [SV187: $i,SV21: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ SV187 ) @ sK2_SY284 )
= $false )
| ( ( in @ SV187 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV187 @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) )
= $true )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(636,plain,
! [SV188: $i] :
( ( ( in @ ( kpair @ sK28_E @ SV188 ) @ sK2_SY284 )
= $false )
| ( ( in @ SV188 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV188 @ sK29_E ) @ sK3_SY289 ) )
= $true )
| ( ( sK28_E = sK29_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(637,plain,
! [SV189: $i,SV88: $i,SV87: $i] :
( ( ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ SV189 ) @ sK2_SY284 )
= $false )
| ( ( in @ SV189 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV189 @ ( sK31_E @ SV88 @ SV87 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $false )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(638,plain,
! [SV190: $i] :
( ( ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ SV190 ) @ sK2_SY284 )
= $false )
| ( ( in @ SV190 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV190 @ ( sK31_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) )
= $true )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[627]) ).
thf(639,plain,
! [SV21: $i > $i > $o,SV184: $i] :
( ( ( in @ ( kpair @ SV184 @ ( sK23_E @ SV21 ) ) @ sK3_SY289 )
= $false )
| ( ( in @ SV184 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK22_E @ SV21 ) @ SV184 ) @ sK2_SY284 )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(640,plain,
! [SV21: $i > $i > $o,SV185: $i] :
( ( ( in @ ( kpair @ SV185 @ ( sK25_E @ SV21 ) ) @ sK3_SY289 )
= $false )
| ( ( in @ SV185 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK24_E @ SV21 ) @ SV185 ) @ sK2_SY284 )
= $false )
| ( ( SV21 @ ( sK24_E @ SV21 ) @ ( sK25_E @ SV21 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(641,plain,
! [SV24: $i,SV25: $i,SV21: $i > $i > $o,SV186: $i] :
( ( ( in @ ( kpair @ SV186 @ ( sK27_E @ SV21 @ SV25 @ SV24 ) ) @ sK3_SY289 )
= $false )
| ( ( in @ SV186 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ SV186 ) @ sK2_SY284 )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ ( sK26_E @ SV24 @ SV25 @ SV21 ) @ ( sK27_E @ SV21 @ SV25 @ SV24 ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(642,plain,
! [SV21: $i > $i > $o,SV187: $i] :
( ( ( in @ ( kpair @ SV187 @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 )
= $false )
| ( ( in @ SV187 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ SV187 ) @ sK2_SY284 )
= $false )
| ( ( SV21 @ ( sK26_E @ sK5_SY296 @ sK4_SY293 @ SV21 ) @ ( sK27_E @ SV21 @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(643,plain,
! [SV188: $i] :
( ( ( in @ ( kpair @ SV188 @ sK29_E ) @ sK3_SY289 )
= $false )
| ( ( in @ SV188 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ sK28_E @ SV188 ) @ sK2_SY284 )
= $false )
| ( ( sK28_E = sK29_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(644,plain,
! [SV87: $i,SV88: $i,SV189: $i] :
( ( ( in @ ( kpair @ SV189 @ ( sK31_E @ SV88 @ SV87 ) ) @ sK3_SY289 )
= $false )
| ( ( in @ SV189 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK30_E @ SV87 @ SV88 ) @ SV189 ) @ sK2_SY284 )
= $false )
| ( ( ( sK30_E @ SV87 @ SV88 )
= ( sK31_E @ SV88 @ SV87 ) )
= $false )
| ( ( ( kpair @ SV88 @ SV87 )
= ( kpair @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV88 = SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(645,plain,
! [SV190: $i] :
( ( ( in @ ( kpair @ SV190 @ ( sK31_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 )
= $false )
| ( ( in @ SV190 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK30_E @ sK5_SY296 @ sK4_SY293 ) @ SV190 ) @ sK2_SY284 )
= $false )
| ( ( ( sK30_E @ sK5_SY296 @ sK4_SY293 )
= ( sK31_E @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(646,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV120: $i > $i > $o] :
( ( ( SV120 @ SV4 @ SV5 )
= $true )
| ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV120 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(647,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( SV4 = SV5 )
= $true )
| ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(648,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV111: $i > $i > $o] :
( ( ( SV111 @ SV4 @ SV5 )
= $false )
| ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV111 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(649,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( SV4 = SV5 )
= $false )
| ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(650,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV102: $i > $i > $o] :
( ( ( SV102 @ SV25 @ SV24 )
= $false )
| ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(651,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( SV25 = SV24 )
= $false )
| ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(652,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV93: $i > $i > $o] :
( ( ( SV93 @ SV25 @ SV24 )
= $true )
| ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV93 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(653,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( SV25 = SV24 )
= $true )
| ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(655,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( SV25 = SV24 )
= $false )
| ( ( sK1_A
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false )
| ( ( sK4_SY293
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(657,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( SV25 = SV24 )
= $false )
| ( ( sK1_A
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false )
| ( ( sK5_SY296
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(658,plain,
! [SV22: $i,SV23: $i,SV102: $i > $i > $o] :
( ( ( SV102 @ sK4_SY293 @ sK5_SY296 )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(660,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i,SV102: $i > $i > $o] :
( ( ( SV102 @ SV25 @ SV24 )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(661,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( SV25 = SV24 )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(662,plain,
! [SV24: $i,SV25: $i,SV102: $i > $i > $o] :
( ( ( SV102 @ SV25 @ SV24 )
= $false )
| ( ( in
@ ( kpair
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 ) )
@ sK3_SY289 )
= $true )
| ( ( ~ ( SV102
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 ) ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(664,plain,
! [SV102: $i > $i > $o] :
( ( ( SV102 @ sK4_SY293 @ sK5_SY296 )
= $false )
| ( ( in
@ ( kpair
@ ( sK11_SY371
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) )
@ sK3_SY289 )
= $true )
| ( ( ~ ( SV102
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(666,plain,
! [SV24: $i,SV25: $i,SV102: $i > $i > $o] :
( ( ( SV102 @ SV25 @ SV24 )
= $false )
| ( ( in
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 )
@ sK1_A )
= $true )
| ( ( ~ ( SV102
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 ) ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(668,plain,
! [SV24: $i,SV25: $i,SV102: $i > $i > $o] :
( ( ( SV102 @ SV25 @ SV24 )
= $false )
| ( ( in
@ ( kpair
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 ) )
@ sK2_SY284 )
= $true )
| ( ( ~ ( SV102
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 ) ) )
= $true )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(670,plain,
! [SV102: $i > $i > $o] :
( ( ( SV102 @ sK4_SY293 @ sK5_SY296 )
= $false )
| ( ( in
@ ( sK11_SY371
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ sK1_A )
= $true )
| ( ( ~ ( SV102
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(672,plain,
! [SV102: $i > $i > $o] :
( ( ( SV102 @ sK4_SY293 @ sK5_SY296 )
= $false )
| ( ( in
@ ( kpair
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK11_SY371
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) )
@ sK2_SY284 )
= $true )
| ( ( ~ ( SV102
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(674,plain,
! [SV82: $i,SV24: $i,SV25: $i,SV102: $i > $i > $o] :
( ( ( SV102 @ SV25 @ SV24 )
= $false )
| ( ( in
@ ( kpair
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ SV82 )
@ sK2_SY284 )
= $false )
| ( ( in @ SV82 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV82
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 ) )
@ sK3_SY289 )
= $false )
| ( ( ~ ( SV102
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 ) ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(675,plain,
! [SV82: $i,SV24: $i,SV25: $i] :
( ( ( SV25 = SV24 )
= $false )
| ( ( in
@ ( kpair
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV82 )
@ sK2_SY284 )
= $false )
| ( ( in @ SV82 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV82
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV25
@ SV24 ) )
@ sK3_SY289 )
= $false )
| ( ( ( ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= ( sK9_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV25
@ SV24 ) ) )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(676,plain,
! [SV83: $i,SV102: $i > $i > $o] :
( ( ( SV102 @ sK4_SY293 @ sK5_SY296 )
= $false )
| ( ( in
@ ( kpair
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ SV83 )
@ sK2_SY284 )
= $false )
| ( ( in @ SV83 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV83
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) )
@ sK3_SY289 )
= $false )
| ( ( ~ ( SV102
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(678,plain,
! [SV25: $i,SV24: $i,SV102: $i > $i > $o] :
( ( ( SV102
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 ) )
@ sK3_SY289 )
= $true )
| ( ( SV102 @ SV25 @ SV24 )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[662]) ).
thf(680,plain,
! [SV102: $i > $i > $o] :
( ( ( SV102
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK11_SY371
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) )
@ sK3_SY289 )
= $true )
| ( ( SV102 @ sK4_SY293 @ sK5_SY296 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[664]) ).
thf(682,plain,
! [SV25: $i,SV24: $i,SV102: $i > $i > $o] :
( ( ( SV102
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 ) )
= $false )
| ( ( in
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 )
@ sK1_A )
= $true )
| ( ( SV102 @ SV25 @ SV24 )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(684,plain,
! [SV25: $i,SV24: $i,SV102: $i > $i > $o] :
( ( ( SV102
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 ) )
@ sK2_SY284 )
= $true )
| ( ( SV102 @ SV25 @ SV24 )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(686,plain,
! [SV102: $i > $i > $o] :
( ( ( SV102
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( sK11_SY371
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ sK1_A )
= $true )
| ( ( SV102 @ sK4_SY293 @ sK5_SY296 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(688,plain,
! [SV102: $i > $i > $o] :
( ( ( SV102
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK11_SY371
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) )
@ sK2_SY284 )
= $true )
| ( ( SV102 @ sK4_SY293 @ sK5_SY296 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[672]) ).
thf(690,plain,
! [SV82: $i,SV25: $i,SV24: $i,SV102: $i > $i > $o] :
( ( ( SV102
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 ) )
= $true )
| ( ( in
@ ( kpair @ SV82
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ SV25
@ SV24 ) )
@ sK3_SY289 )
= $false )
| ( ( in @ SV82 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ SV82 )
@ sK2_SY284 )
= $false )
| ( ( SV102 @ SV25 @ SV24 )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[674]) ).
thf(691,plain,
! [SV82: $i,SV25: $i,SV24: $i] :
( ( ( ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK9_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV25
@ SV24 ) )
= $true )
| ( ( in
@ ( kpair @ SV82
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV25
@ SV24 ) )
@ sK3_SY289 )
= $false )
| ( ( in @ SV82 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK8_E @ SV24 @ SV25
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV82 )
@ sK2_SY284 )
= $false )
| ( ( SV25 = SV24 )
= $false )
| ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[675]) ).
thf(692,plain,
! [SV83: $i,SV102: $i > $i > $o] :
( ( ( SV102
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) )
= $true )
| ( ( in
@ ( kpair @ SV83
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) ) )
@ sK3_SY289 )
= $false )
| ( ( in @ SV83 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ SV83 )
@ sK2_SY284 )
= $false )
| ( ( SV102 @ sK4_SY293 @ sK5_SY296 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[676]) ).
thf(694,plain,
! [SV2: $i,SV1: $i,SV5: $i] :
( ( in @ ( kpair @ SV5 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ),
inference(extuni,[status(esa)],[248:[bind(SV4,$thf( SV5 ))]]) ).
thf(695,plain,
! [SV2: $i,SV1: $i,SV5: $i] :
( ( in @ ( kpair @ SV5 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ),
inference(extuni,[status(esa)],[649:[bind(SV4,$thf( SV5 ))]]) ).
thf(696,plain,
! [SV22: $i,SV23: $i,SV24: $i] :
( ( in @ ( kpair @ SV24 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ),
inference(extuni,[status(esa)],[651:[bind(SV25,$thf( SV24 ))]]) ).
thf(697,plain,
! [SV22: $i,SV23: $i,SV24: $i] :
( ( in @ ( kpair @ SV24 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ),
inference(extuni,[status(esa)],[263:[bind(SV25,$thf( SV24 ))]]) ).
thf(698,plain,
! [SV22: $i,SV23: $i,SV24: $i] :
( ( ( sK4_SY293
= ( kpair @ SV24 @ SV24 ) )
= $false )
| ( ( sK1_A
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[655:[bind(SV25,$thf( SV24 ))]]) ).
thf(699,plain,
! [SV22: $i,SV23: $i,SV24: $i] :
( ( ( sK5_SY296
= ( kpair @ SV24 @ SV24 ) )
= $false )
| ( ( sK1_A
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[657:[bind(SV25,$thf( SV24 ))]]) ).
thf(702,plain,
( ( ( ~ ! [SY479: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY479 @ sK1_A )
| ~ ( in @ ( kpair @ sK41_E @ SY479 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY479 @ sK42_E ) @ sK3_SY289 ) ) )
= $true )
| ( $false = $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[275:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(704,plain,
! [SV102: $i > $i > $o] :
( ( ( ! [SY483: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY483 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK43_E @ SV102 ) @ SY483 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY483 @ ( sK44_E @ SV102 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV102 @ ( sK43_E @ SV102 ) @ ( sK44_E @ SV102 ) )
= $true )
| ( ( SV102 @ sK4_SY293 @ sK5_SY296 )
= $false ) ),
inference(extuni,[status(esa)],[658:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(705,plain,
! [SV102: $i > $i > $o] :
( ( ( ! [SY483: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY483 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK43_E @ SV102 ) @ SY483 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY483 @ ( sK44_E @ SV102 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV102 @ ( sK43_E @ SV102 ) @ ( sK44_E @ SV102 ) )
= $false )
| ( ( SV102 @ sK4_SY293 @ sK5_SY296 )
= $false ) ),
inference(extuni,[status(esa)],[658:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(706,plain,
! [SV102: $i > $i > $o] :
( ( ( ~ ! [SY483: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY483 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK43_E @ SV102 ) @ SY483 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY483 @ ( sK44_E @ SV102 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ~ ( SV102 @ ( sK43_E @ SV102 ) @ ( sK44_E @ SV102 ) ) )
= $true )
| ( ( SV102 @ sK4_SY293 @ sK5_SY296 )
= $false ) ),
inference(extuni,[status(esa)],[658:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(707,plain,
! [SV102: $i > $i > $o] :
( ( ( ~ ! [SY483: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY483 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK43_E @ SV102 ) @ SY483 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY483 @ ( sK44_E @ SV102 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ~ ( SV102 @ ( sK43_E @ SV102 ) @ ( sK44_E @ SV102 ) ) )
= $false )
| ( ( SV102 @ sK4_SY293 @ sK5_SY296 )
= $false ) ),
inference(extuni,[status(esa)],[658:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(708,plain,
( ( ( ~ ! [SY487: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY487 @ sK1_A )
| ~ ( in @ ( kpair @ sK45_E @ SY487 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY487 @ sK46_E ) @ sK3_SY289 ) ) )
= $true )
| ( ( sK45_E = sK46_E )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extuni,[status(esa)],[278:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(709,plain,
( ( ( ~ ! [SY487: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY487 @ sK1_A )
| ~ ( in @ ( kpair @ sK45_E @ SY487 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY487 @ sK46_E ) @ sK3_SY289 ) ) )
= $false )
| ( ( sK45_E = sK46_E )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extuni,[status(esa)],[278:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(714,plain,
( ( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK49_E @ sK5_SY296 @ sK4_SY293 ) @ SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX0 @ ( sK50_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $true )
| ( $false = $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[280:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 )),bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(715,plain,
! [SV24: $i,SV25: $i] :
( ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( ~ ! [SY495: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY495 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK49_E @ SV24 @ SV25 ) @ SY495 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY495 @ ( sK50_E @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $true )
| ( $false = $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[280:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(718,plain,
! [SV102: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK51_E @ sK5_SY296 @ sK4_SY293 @ SV102 ) @ SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX0 @ ( sK52_E @ SV102 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV102 @ ( sK51_E @ sK5_SY296 @ sK4_SY293 @ SV102 ) @ ( sK52_E @ SV102 @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( SV102 @ sK4_SY293 @ sK5_SY296 )
= $false ) ),
inference(extuni,[status(esa)],[660:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 )),bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(719,plain,
! [SV102: $i > $i > $o,SV24: $i,SV25: $i] :
( ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( ! [SY499: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY499 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK51_E @ SV24 @ SV25 @ SV102 ) @ SY499 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY499 @ ( sK52_E @ SV102 @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( SV102 @ ( sK51_E @ SV24 @ SV25 @ SV102 ) @ ( sK52_E @ SV102 @ SV25 @ SV24 ) )
= $true )
| ( ( SV102 @ SV25 @ SV24 )
= $false ) ),
inference(extuni,[status(esa)],[660:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(720,plain,
! [SV102: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK51_E @ sK5_SY296 @ sK4_SY293 @ SV102 ) @ SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX0 @ ( sK52_E @ SV102 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV102 @ ( sK51_E @ sK5_SY296 @ sK4_SY293 @ SV102 ) @ ( sK52_E @ SV102 @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( SV102 @ sK4_SY293 @ sK5_SY296 )
= $false ) ),
inference(extuni,[status(esa)],[660:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 )),bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(721,plain,
! [SV102: $i > $i > $o,SV24: $i,SV25: $i] :
( ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( ! [SY499: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY499 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK51_E @ SV24 @ SV25 @ SV102 ) @ SY499 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY499 @ ( sK52_E @ SV102 @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( SV102 @ ( sK51_E @ SV24 @ SV25 @ SV102 ) @ ( sK52_E @ SV102 @ SV25 @ SV24 ) )
= $false )
| ( ( SV102 @ SV25 @ SV24 )
= $false ) ),
inference(extuni,[status(esa)],[660:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(722,plain,
! [SV102: $i > $i > $o] :
( ( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK51_E @ sK5_SY296 @ sK4_SY293 @ SV102 ) @ SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX0 @ ( sK52_E @ SV102 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ~ ( SV102 @ ( sK51_E @ sK5_SY296 @ sK4_SY293 @ SV102 ) @ ( sK52_E @ SV102 @ sK4_SY293 @ sK5_SY296 ) ) )
= $true )
| ( ( SV102 @ sK4_SY293 @ sK5_SY296 )
= $false ) ),
inference(extuni,[status(esa)],[660:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 )),bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(723,plain,
! [SV102: $i > $i > $o,SV24: $i,SV25: $i] :
( ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( ~ ! [SY499: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY499 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK51_E @ SV24 @ SV25 @ SV102 ) @ SY499 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY499 @ ( sK52_E @ SV102 @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ~ ( SV102 @ ( sK51_E @ SV24 @ SV25 @ SV102 ) @ ( sK52_E @ SV102 @ SV25 @ SV24 ) ) )
= $true )
| ( ( SV102 @ SV25 @ SV24 )
= $false ) ),
inference(extuni,[status(esa)],[660:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(724,plain,
! [SV102: $i > $i > $o] :
( ( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK51_E @ sK5_SY296 @ sK4_SY293 @ SV102 ) @ SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX0 @ ( sK52_E @ SV102 @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ~ ( SV102 @ ( sK51_E @ sK5_SY296 @ sK4_SY293 @ SV102 ) @ ( sK52_E @ SV102 @ sK4_SY293 @ sK5_SY296 ) ) )
= $false )
| ( ( SV102 @ sK4_SY293 @ sK5_SY296 )
= $false ) ),
inference(extuni,[status(esa)],[660:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 )),bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(725,plain,
! [SV102: $i > $i > $o,SV24: $i,SV25: $i] :
( ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( ~ ! [SY499: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY499 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK51_E @ SV24 @ SV25 @ SV102 ) @ SY499 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY499 @ ( sK52_E @ SV102 @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ~ ( SV102 @ ( sK51_E @ SV24 @ SV25 @ SV102 ) @ ( sK52_E @ SV102 @ SV25 @ SV24 ) ) )
= $false )
| ( ( SV102 @ SV25 @ SV24 )
= $false ) ),
inference(extuni,[status(esa)],[660:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(726,plain,
( ( ( sK5_SY296 = sK4_SY293 )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK53_E @ sK4_SY293 ) @ SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX0 @ ( sK54_E @ sK4_SY293 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ( sK53_E @ sK4_SY293 )
= ( sK54_E @ sK4_SY293 ) )
= $true ) ),
inference(extuni,[status(esa)],[661:[bind(SV24,$thf( sK4_SY293 )),bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(727,plain,
! [SV24: $i] :
( ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV24 @ SV24 ) )
= $false )
| ( ( ! [SY503: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY503 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK53_E @ SV24 ) @ SY503 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY503 @ ( sK54_E @ SV24 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ( sK53_E @ SV24 )
= ( sK54_E @ SV24 ) )
= $true ) ),
inference(extuni,[status(esa)],[661:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A )),bind(SV25,$thf( SV24 ))]]) ).
thf(728,plain,
( ( ( sK5_SY296 = sK4_SY293 )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK53_E @ sK4_SY293 ) @ SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX0 @ ( sK54_E @ sK4_SY293 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ( sK53_E @ sK4_SY293 )
= ( sK54_E @ sK4_SY293 ) )
= $false ) ),
inference(extuni,[status(esa)],[661:[bind(SV24,$thf( sK4_SY293 )),bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(729,plain,
! [SV24: $i] :
( ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV24 @ SV24 ) )
= $false )
| ( ( ! [SY503: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY503 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK53_E @ SV24 ) @ SY503 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY503 @ ( sK54_E @ SV24 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ( sK53_E @ SV24 )
= ( sK54_E @ SV24 ) )
= $false ) ),
inference(extuni,[status(esa)],[661:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A )),bind(SV25,$thf( SV24 ))]]) ).
thf(730,plain,
( ( ( sK5_SY296 = sK4_SY293 )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK53_E @ sK4_SY293 ) @ SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX0 @ ( sK54_E @ sK4_SY293 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ( ( sK53_E @ sK4_SY293 )
!= ( sK54_E @ sK4_SY293 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[661:[bind(SV24,$thf( sK4_SY293 )),bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(731,plain,
! [SV24: $i] :
( ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV24 @ SV24 ) )
= $false )
| ( ( ~ ! [SY503: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY503 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK53_E @ SV24 ) @ SY503 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY503 @ ( sK54_E @ SV24 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ( ( sK53_E @ SV24 )
!= ( sK54_E @ SV24 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[661:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A )),bind(SV25,$thf( SV24 ))]]) ).
thf(732,plain,
( ( ( sK5_SY296 = sK4_SY293 )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK53_E @ sK4_SY293 ) @ SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX0 @ ( sK54_E @ sK4_SY293 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ( ( sK53_E @ sK4_SY293 )
!= ( sK54_E @ sK4_SY293 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[661:[bind(SV24,$thf( sK4_SY293 )),bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(733,plain,
! [SV24: $i] :
( ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV24 @ SV24 ) )
= $false )
| ( ( ~ ! [SY503: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY503 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK53_E @ SV24 ) @ SY503 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY503 @ ( sK54_E @ SV24 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ( ( sK53_E @ SV24 )
!= ( sK54_E @ SV24 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[661:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A )),bind(SV25,$thf( SV24 ))]]) ).
thf(734,plain,
! [SV22: $i,SV23: $i] :
( ( ( sK5_SY296 = sK4_SY293 )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[661:[bind(SV24,$thf( sK4_SY293 )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(735,plain,
! [SV22: $i,SV23: $i,SV24: $i] :
( ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV24 @ SV24 ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[661:[bind(SV25,$thf( SV24 ))]]) ).
thf(736,plain,
( ( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK55_E @ sK5_SY296 @ sK4_SY293 ) @ SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX0 @ ( sK56_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ( sK55_E @ sK5_SY296 @ sK4_SY293 )
= ( sK56_E @ sK4_SY293 @ sK5_SY296 ) )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extuni,[status(esa)],[283:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 )),bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(737,plain,
! [SV24: $i,SV25: $i] :
( ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( ~ ! [SY507: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY507 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK55_E @ SV24 @ SV25 ) @ SY507 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY507 @ ( sK56_E @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $true )
| ( ( ( sK55_E @ SV24 @ SV25 )
= ( sK56_E @ SV25 @ SV24 ) )
= $true )
| ( ( SV25 = SV24 )
= $true ) ),
inference(extuni,[status(esa)],[283:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(738,plain,
( ( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK55_E @ sK5_SY296 @ sK4_SY293 ) @ SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX0 @ ( sK56_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ( sK55_E @ sK5_SY296 @ sK4_SY293 )
= ( sK56_E @ sK4_SY293 @ sK5_SY296 ) )
= $false )
| ( ( sK4_SY293 = sK5_SY296 )
= $true ) ),
inference(extuni,[status(esa)],[283:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 )),bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(739,plain,
! [SV24: $i,SV25: $i] :
( ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( ~ ! [SY507: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY507 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK55_E @ SV24 @ SV25 ) @ SY507 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY507 @ ( sK56_E @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $false )
| ( ( ( sK55_E @ SV24 @ SV25 )
= ( sK56_E @ SV25 @ SV24 ) )
= $false )
| ( ( SV25 = SV24 )
= $true ) ),
inference(extuni,[status(esa)],[283:[bind(SV22,$thf( sK1_A )),bind(SV23,$thf( sK1_A ))]]) ).
thf(741,plain,
( ( $false = $true )
| ( $false = $true )
| ( ( in
@ ( kpair
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] : $false
@ sK4_SY293
@ sK5_SY296 )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] : $false
@ sK4_SY293
@ sK5_SY296 ) )
@ sK3_SY289 )
= $true ) ),
inference(extuni,[status(esa)],[285:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(742,plain,
! [SV102: $i > $i > $o] :
( ( ( SV102 @ sK4_SY293 @ sK5_SY296 )
= $false )
| ( ( in
@ ( kpair
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ sK4_SY293
@ sK5_SY296 )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ sK4_SY293
@ sK5_SY296 ) )
@ sK3_SY289 )
= $true )
| ( ( SV102
@ ( sK8_E @ sK5_SY296 @ sK4_SY293
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ sK4_SY293
@ sK5_SY296 ) )
= $false ) ),
inference(extuni,[status(esa)],[678:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(743,plain,
( ( ( ( sK8_E @ sK5_SY296 @ sK4_SY293
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK9_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ sK4_SY293
@ sK5_SY296 ) )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true )
| ( ( in
@ ( kpair
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ sK4_SY293
@ sK5_SY296 )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ sK4_SY293
@ sK5_SY296 ) )
@ sK3_SY289 )
= $true ) ),
inference(extuni,[status(esa)],[288:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(745,plain,
( ( $false = $true )
| ( $false = $true )
| ( ( in
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] : $false
@ sK4_SY293
@ sK5_SY296 )
@ sK1_A )
= $true ) ),
inference(extuni,[status(esa)],[295:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(746,plain,
! [SV102: $i > $i > $o] :
( ( ( SV102 @ sK4_SY293 @ sK5_SY296 )
= $false )
| ( ( in
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ sK4_SY293
@ sK5_SY296 )
@ sK1_A )
= $true )
| ( ( SV102
@ ( sK8_E @ sK5_SY296 @ sK4_SY293
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ sK4_SY293
@ sK5_SY296 ) )
= $false ) ),
inference(extuni,[status(esa)],[682:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(747,plain,
( ( ( ( sK8_E @ sK5_SY296 @ sK4_SY293
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK9_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ sK4_SY293
@ sK5_SY296 ) )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true )
| ( ( in
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ sK4_SY293
@ sK5_SY296 )
@ sK1_A )
= $true ) ),
inference(extuni,[status(esa)],[298:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(749,plain,
( ( $false = $true )
| ( $false = $true )
| ( ( in
@ ( kpair
@ ( sK8_E @ sK5_SY296 @ sK4_SY293
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] : $false
@ sK4_SY293
@ sK5_SY296 ) )
@ sK2_SY284 )
= $true ) ),
inference(extuni,[status(esa)],[300:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(750,plain,
! [SV102: $i > $i > $o] :
( ( ( SV102 @ sK4_SY293 @ sK5_SY296 )
= $false )
| ( ( in
@ ( kpair
@ ( sK8_E @ sK5_SY296 @ sK4_SY293
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ sK4_SY293
@ sK5_SY296 ) )
@ sK2_SY284 )
= $true )
| ( ( SV102
@ ( sK8_E @ sK5_SY296 @ sK4_SY293
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ sK4_SY293
@ sK5_SY296 ) )
= $false ) ),
inference(extuni,[status(esa)],[684:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(751,plain,
( ( ( ( sK8_E @ sK5_SY296 @ sK4_SY293
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK9_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ sK4_SY293
@ sK5_SY296 ) )
= $true )
| ( ( sK4_SY293 = sK5_SY296 )
= $true )
| ( ( in
@ ( kpair
@ ( sK8_E @ sK5_SY296 @ sK4_SY293
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ sK4_SY293
@ sK5_SY296 ) )
@ sK2_SY284 )
= $true ) ),
inference(extuni,[status(esa)],[303:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(754,plain,
! [SV82: $i,SV102: $i > $i > $o] :
( ( ( SV102 @ sK4_SY293 @ sK5_SY296 )
= $false )
| ( ( in
@ ( kpair
@ ( sK8_E @ sK5_SY296 @ sK4_SY293
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ SV82 )
@ sK2_SY284 )
= $false )
| ( ( in @ SV82 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV82
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ sK4_SY293
@ sK5_SY296 ) )
@ sK3_SY289 )
= $false )
| ( ( SV102
@ ( sK8_E @ sK5_SY296 @ sK4_SY293
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 ) )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV102 @ SX0 @ SX1 )
@ sK4_SY293
@ sK5_SY296 ) )
= $true ) ),
inference(extuni,[status(esa)],[690:[bind(SV24,$thf( sK5_SY296 )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(755,plain,
! [SV82: $i] :
( ( ( sK5_SY296 = sK4_SY293 )
= $false )
| ( ( in
@ ( kpair
@ ( sK8_E @ sK4_SY293 @ sK4_SY293
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV82 )
@ sK2_SY284 )
= $false )
| ( ( in @ SV82 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV82
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ sK4_SY293
@ sK4_SY293 ) )
@ sK3_SY289 )
= $false )
| ( ( ( sK8_E @ sK4_SY293 @ sK4_SY293
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK9_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ sK4_SY293
@ sK4_SY293 ) )
= $true ) ),
inference(extuni,[status(esa)],[691:[bind(SV24,$thf( sK4_SY293 )),bind(SV25,$thf( sK4_SY293 ))]]) ).
thf(756,plain,
! [SV82: $i,SV24: $i] :
( ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV24 @ SV24 ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK8_E @ SV24 @ SV24
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV82 )
@ sK2_SY284 )
= $false )
| ( ( in @ SV82 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV82
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV24
@ SV24 ) )
@ sK3_SY289 )
= $false )
| ( ( ( sK8_E @ SV24 @ SV24
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK9_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV24
@ SV24 ) )
= $true ) ),
inference(extuni,[status(esa)],[691:[bind(SV25,$thf( SV24 ))]]) ).
thf(757,plain,
! [SV9: $i > $i > $o,SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV9 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(sim,[status(thm)],[407]) ).
thf(758,plain,
! [SV2: $i,SV1: $i,SV132: $i > $i > $i,SV5: $i,SV4: $i,SV131: $i > $i > $i] :
( ( ( in @ ( SV131 @ SV4 @ SV5 ) @ ( SV132 @ SV4 @ SV5 ) )
= $false )
| ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( in @ ( SV131 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[419]) ).
thf(759,plain,
! [SV3: $i > $i > $o,SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SY312: $i,SY313: $i] : ( SV3 @ SY312 @ SY313 ) ) )
= $false )
| ( ( SV3 @ SV4 @ SV5 )
= $true ) ),
inference(sim,[status(thm)],[397]) ).
thf(760,plain,
! [SV143: $i > $i > $o,SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] :
~ ( SV143 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV143 @ SV4 @ SV5 )
= $false ) ),
inference(sim,[status(thm)],[501]) ).
thf(761,plain,
! [SV21: $i > $i > $o,SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SV21 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV21 @ SV25 @ SV24 )
= $true ) ),
inference(sim,[status(thm)],[399]) ).
thf(762,plain,
! [SV154: $i > $i > $o,SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV154 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV154 @ SV25 @ SV24 )
= $false ) ),
inference(sim,[status(thm)],[503]) ).
thf(763,plain,
! [SV28: $i > $i > $o,SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV28 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV28 @ SV25 @ SV24 )
= $false ) ),
inference(sim,[status(thm)],[410]) ).
thf(764,plain,
! [SV22: $i,SV23: $i,SV166: $i > $i > $i,SV24: $i,SV25: $i,SV165: $i > $i > $i] :
( ( ( in @ ( SV165 @ SV25 @ SV24 ) @ ( SV166 @ SV25 @ SV24 ) )
= $false )
| ( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( in @ ( SV165 @ SX0 @ SX1 ) @ ( SV166 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[425]) ).
thf(765,plain,
! [SV22: $i,SV23: $i,SV24: $i] :
( ( in @ ( kpair @ SV24 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ),
inference(sim,[status(thm)],[426]) ).
thf(766,plain,
! [SV21: $i > $i > $o,SV184: $i] :
( ( ( in @ ( kpair @ SV184 @ ( sK23_E @ SV21 ) ) @ sK3_SY289 )
= $false )
| ( ( in @ SV184 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK22_E @ SV21 ) @ SV184 ) @ sK2_SY284 )
= $false )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $false ) ),
inference(sim,[status(thm)],[639]) ).
thf(767,plain,
! [SV21: $i > $i > $o] :
( ( ( in @ ( sK32_SY451 @ SV21 ) @ sK1_A )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $true ) ),
inference(sim,[status(thm)],[612]) ).
thf(768,plain,
! [SV21: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK22_E @ SV21 ) @ ( sK32_SY451 @ SV21 ) ) @ sK2_SY284 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $true ) ),
inference(sim,[status(thm)],[613]) ).
thf(769,plain,
! [SV21: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK32_SY451 @ SV21 ) @ ( sK23_E @ SV21 ) ) @ sK3_SY289 )
= $true )
| ( ( SV21 @ sK4_SY293 @ sK5_SY296 )
= $true )
| ( ( SV21 @ ( sK22_E @ SV21 ) @ ( sK23_E @ SV21 ) )
= $true ) ),
inference(sim,[status(thm)],[557]) ).
thf(770,plain,
! [SV177: $i > $i > $o,SV22: $i,SV23: $i] :
( ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY289 ) ) )
= ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] :
~ ( SV177 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV177 @ sK4_SY293 @ sK5_SY296 )
= $false ) ),
inference(sim,[status(thm)],[507]) ).
thf(771,plain,
( ( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( in @ ( kpair @ sK4_SY293 @ sK4_SY293 ) @ sK2_SY284 )
= $false ) ),
inference(sim,[status(thm)],[413]) ).
thf(772,plain,
( ( ( in @ ( kpair @ sK5_SY296 @ sK5_SY296 ) @ sK3_SY289 )
= $false )
| ( ( in @ ( kpair @ sK4_SY293 @ sK5_SY296 ) @ sK2_SY284 )
= $false ) ),
inference(sim,[status(thm)],[414]) ).
thf(773,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] : ~ $true ) )
= $false ),
inference(sim,[status(thm)],[244]) ).
thf(774,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i] :
( ( in @ ( kpair @ SV4 @ SV5 )
@ ( dpsetconstr @ SV1 @ SV2
@ ^ [SX0: $i,SX1: $i] : $false ) )
= $false ),
inference(sim,[status(thm)],[250]) ).
thf(775,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : $false ) )
= $false ),
inference(sim,[status(thm)],[255]) ).
thf(776,plain,
! [SV22: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( in @ ( kpair @ SV25 @ SV24 )
@ ( dpsetconstr @ SV23 @ SV22
@ ^ [SX0: $i,SX1: $i] : ~ $true ) )
= $false ),
inference(sim,[status(thm)],[259]) ).
thf(777,plain,
( ( ~ ! [SY479: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY479 @ sK1_A )
| ~ ( in @ ( kpair @ sK41_E @ SY479 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY479 @ sK42_E ) @ sK3_SY289 ) ) )
= $true ),
inference(sim,[status(thm)],[702]) ).
thf(778,plain,
! [SV24: $i,SV25: $i] :
( ( ( ( kpair @ sK4_SY293 @ sK5_SY296 )
= ( kpair @ SV25 @ SV24 ) )
= $false )
| ( ( ~ ! [SY495: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY495 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK49_E @ SV24 @ SV25 ) @ SY495 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SY495 @ ( sK50_E @ SV25 @ SV24 ) ) @ sK3_SY289 ) ) )
= $true ) ),
inference(sim,[status(thm)],[715]) ).
thf(779,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK49_E @ sK5_SY296 @ sK4_SY293 ) @ SX0 ) @ sK2_SY284 ) )
| ~ ( in @ ( kpair @ SX0 @ ( sK50_E @ sK4_SY293 @ sK5_SY296 ) ) @ sK3_SY289 ) ) )
= $true ),
inference(sim,[status(thm)],[714]) ).
thf(780,plain,
( ( in
@ ( kpair
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] : $false
@ sK4_SY293
@ sK5_SY296 )
@ ( sK9_E
@ ^ [SX0: $i,SX1: $i] : $false
@ sK4_SY293
@ sK5_SY296 ) )
@ sK3_SY289 )
= $true ),
inference(sim,[status(thm)],[741]) ).
thf(781,plain,
( ( in
@ ( kpair
@ ( sK11_SY371
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK3_SY289 )
= $true ),
inference(sim,[status(thm)],[290]) ).
thf(782,plain,
( ( in
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] : $false
@ sK4_SY293
@ sK5_SY296 )
@ sK1_A )
= $true ),
inference(sim,[status(thm)],[745]) ).
thf(783,plain,
( ( in
@ ( kpair
@ ( sK8_E @ sK5_SY296 @ sK4_SY293
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK10_SY375
@ ^ [SX0: $i,SX1: $i] : $false
@ sK4_SY293
@ sK5_SY296 ) )
@ sK2_SY284 )
= $true ),
inference(sim,[status(thm)],[749]) ).
thf(784,plain,
( ( in
@ ( sK11_SY371
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK1_A )
= $true ),
inference(sim,[status(thm)],[305]) ).
thf(785,plain,
( ( in
@ ( kpair
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK11_SY371
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK2_SY284 )
= $true ),
inference(sim,[status(thm)],[310]) ).
thf(786,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[16,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,751,750,747,746,743,742,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,709,708,707,706,705,704,699,698,697,696,695,694,692,688,686,680,653,652,650,648,647,646,645,644,643,642,641,640,631,630,629,628,625,624,622,621,620,619,616,615,575,573,569,566,564,560,459,458,457,456,455,448,447,446,445,444,443,442,435,434,433,432,431,313,308,293,258,253,243,242,239,238,236,235,223,220,195,192,189,188,175,174,173,172,171,170,169,168,167,166,165,164,145,144,143,140,139,137,136,124,121,96,93,89,87,85,84,82,79,72,71,70,69,67,41,36,31,24]) ).
thf(787,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[786]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : SEU780^2 : TPTP v8.1.0. Released v3.7.0.
% 0.02/0.07 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.06/0.26 % Computer : n032.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 600
% 0.06/0.26 % DateTime : Sun Jun 19 20:06:48 EDT 2022
% 0.06/0.26 % CPUTime :
% 0.10/0.26
% 0.10/0.26 No.of.Axioms: 0
% 0.10/0.26
% 0.10/0.26 Length.of.Defs: 819
% 0.10/0.26
% 0.10/0.26 Contains.Choice.Funs: false
% 0.10/0.27 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).......
% 1.12/1.30
% 1.12/1.30 Prim_subst applied to clause
% 1.12/1.30
% 1.12/1.30 101:[ 0:<(in@((kpair@SV63)@SV62))@(((dpsetconstr@SV61)@SV60)@(^[SX0:$i,SX1:$i]: ((SV59@SX0)@SX1))) = $false>-w(1)-i() 1:<(SV59@SV63)@SV62 = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 28)-o(AXIOM)-fv([ SV59 SV60 SV61 SV62 SV63 ])
% 1.91/2.10 ............
% 74.91/75.18 (rf:0,axioms:0,ps:2,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)......
% 75.12/75.34
% 75.12/75.34 Prim_subst applied to clause
% 75.12/75.34
% 75.12/75.34 72:[ 0:<(in@((kpair@SV25)@SV24))@(((dpsetconstr@SV23)@SV22)@(^[SX0:$i,SX1:$i]: ((SV21@SX0)@SX1))) = $false>-w(1)-i() 1:<(SV21@SV25)@SV24 = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 28)-o(AXIOM)-fv([ SV21 SV22 SV23 SV24 SV25 ])
% 75.21/75.47 ......eprover: CPU time limit exceeded, terminating
% 101.59/101.79 .....................
% 112.80/113.03
% 112.80/113.03 ********************************
% 112.80/113.03 * All subproblems solved! *
% 112.80/113.03 ********************************
% 112.80/113.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:2,u:1,ude:false,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:786,loop_count:8,foatp_calls:4,translation:fof_full)
% 113.32/113.54
% 113.32/113.54 %**** Beginning of derivation protocol ****
% 113.32/113.54 % SZS output start CNFRefutation
% See solution above
% 113.32/113.55
% 113.32/113.55 %**** End of derivation protocol ****
% 113.32/113.55 %**** no. of clauses in derivation: 642 ****
% 113.32/113.55 %**** clause counter: 786 ****
% 113.32/113.55
% 113.32/113.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:2,u:1,ude:false,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:786,loop_count:8,foatp_calls:4,translation:fof_full)
%------------------------------------------------------------------------------