TSTP Solution File: SEU778^2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU778^2 : 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 12:14:39 EDT 2022
% Result : Theorem 161.30s 161.55s
% Output : CNFRefutation 162.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 140
% Syntax : Number of formulae : 1195 ( 74 unt; 135 typ; 4 def)
% Number of atoms : 11900 (4655 equ; 0 cnn)
% Maximal formula atoms : 8 ( 11 avg)
% Number of connectives : 33468 (6195 ~;3956 |; 6 &;23301 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2077 (2077 >; 0 *; 0 +; 0 <<)
% Number of symbols : 138 ( 135 usr; 49 con; 0-3 aty)
% Number of variables : 5006 (3266 ^1739 !; 1 ?;5006 :)
% 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_in,type,
in: $i > $i > $o ).
thf(tp_kpair,type,
kpair: $i > $i > $i ).
thf(tp_sK100_E,type,
sK100_E: $i > $i ).
thf(tp_sK101_E,type,
sK101_E: $i > $i ).
thf(tp_sK102_E,type,
sK102_E: $i > $i ).
thf(tp_sK103_E,type,
sK103_E: $i ).
thf(tp_sK104_E,type,
sK104_E: $i ).
thf(tp_sK105_E,type,
sK105_E: $i ).
thf(tp_sK106_E,type,
sK106_E: $i ).
thf(tp_sK107_E,type,
sK107_E: ( $i > $i > $o ) > $i ).
thf(tp_sK108_E,type,
sK108_E: ( $i > $i > $o ) > $i ).
thf(tp_sK109_E,type,
sK109_E: $i ).
thf(tp_sK10_E,type,
sK10_E: $i ).
thf(tp_sK110_E,type,
sK110_E: $i ).
thf(tp_sK111_E,type,
sK111_E: $i ).
thf(tp_sK112_E,type,
sK112_E: $i ).
thf(tp_sK113_E,type,
sK113_E: $i ).
thf(tp_sK114_E,type,
sK114_E: $i ).
thf(tp_sK115_E,type,
sK115_E: ( $i > $i > $o ) > $i ).
thf(tp_sK116_E,type,
sK116_E: ( $i > $i > $o ) > $i ).
thf(tp_sK117_E,type,
sK117_E: $i ).
thf(tp_sK118_E,type,
sK118_E: $i ).
thf(tp_sK119_E,type,
sK119_E: $i ).
thf(tp_sK11_E,type,
sK11_E: ( $i > $i > $o ) > $i ).
thf(tp_sK120_E,type,
sK120_E: $i ).
thf(tp_sK121_E,type,
sK121_E: $i ).
thf(tp_sK122_E,type,
sK122_E: $i ).
thf(tp_sK123_E,type,
sK123_E: ( $i > $i > $o ) > $i ).
thf(tp_sK124_E,type,
sK124_E: ( $i > $i > $o ) > $i ).
thf(tp_sK125_E,type,
sK125_E: $i ).
thf(tp_sK126_E,type,
sK126_E: $i ).
thf(tp_sK12_E,type,
sK12_E: ( $i > $i > $o ) > $i ).
thf(tp_sK13_E,type,
sK13_E: ( $i > $i > $o ) > $i ).
thf(tp_sK14_E,type,
sK14_E: ( $i > $i > $o ) > $i ).
thf(tp_sK15_SY673,type,
sK15_SY673: ( $i > $i > $o ) > $i ).
thf(tp_sK16_SY673,type,
sK16_SY673: ( $i > $i > $o ) > $i ).
thf(tp_sK17_SY673,type,
sK17_SY673: ( $i > $i > $o ) > $i ).
thf(tp_sK18_SY673,type,
sK18_SY673: ( $i > $i > $o ) > $i ).
thf(tp_sK19_SY677,type,
sK19_SY677: ( $i > $i > $o ) > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK20_E,type,
sK20_E: ( $i > $i > $o ) > $i ).
thf(tp_sK21_E,type,
sK21_E: ( $i > $i > $o ) > $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 > $o ) > $i ).
thf(tp_sK27_E,type,
sK27_E: ( $i > $i > $o ) > $i ).
thf(tp_sK28_E,type,
sK28_E: ( $i > $i > $o ) > $i ).
thf(tp_sK29_E,type,
sK29_E: ( $i > $i > $o ) > $i ).
thf(tp_sK2_SY650,type,
sK2_SY650: $i ).
thf(tp_sK30_E,type,
sK30_E: ( $i > $i > $o ) > $i ).
thf(tp_sK31_E,type,
sK31_E: ( $i > $i > $o ) > $i ).
thf(tp_sK32_E,type,
sK32_E: ( $i > $i > $o ) > $i ).
thf(tp_sK33_E,type,
sK33_E: ( $i > $i > $o ) > $i ).
thf(tp_sK34_E,type,
sK34_E: ( $i > $i > $o ) > $i ).
thf(tp_sK35_E,type,
sK35_E: ( $i > $i > $o ) > $i ).
thf(tp_sK36_E,type,
sK36_E: ( $i > $i > $o ) > $i ).
thf(tp_sK37_E,type,
sK37_E: ( $i > $i > $o ) > $i ).
thf(tp_sK38_E,type,
sK38_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK39_E,type,
sK39_E: ( $i > $i > $o ) > $i > $i ).
thf(tp_sK3_SY652,type,
sK3_SY652: $i ).
thf(tp_sK40_E,type,
sK40_E: ( $i > $i > $o ) > $i ).
thf(tp_sK41_E,type,
sK41_E: ( $i > $i > $o ) > $i ).
thf(tp_sK42_E,type,
sK42_E: ( $i > $i > $o ) > $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 > $i > $o ) > $i ).
thf(tp_sK46_SY967,type,
sK46_SY967: ( $i > $i > $o ) > $i ).
thf(tp_sK47_SY979,type,
sK47_SY979: ( $i > $i > $o ) > $i ).
thf(tp_sK48_SY971,type,
sK48_SY971: ( $i > $i > $o ) > $i ).
thf(tp_sK49_SY975,type,
sK49_SY975: ( $i > $i > $o ) > $i ).
thf(tp_sK4_E,type,
sK4_E: ( $i > $i > $o ) > $i ).
thf(tp_sK50_SY987,type,
sK50_SY987: ( $i > $i > $o ) > $i ).
thf(tp_sK51_SY983,type,
sK51_SY983: ( $i > $i > $o ) > $i ).
thf(tp_sK52_SY1003,type,
sK52_SY1003: ( $i > $i > $o ) > $i ).
thf(tp_sK53_SY1007,type,
sK53_SY1007: ( $i > $i > $o ) > $i ).
thf(tp_sK54_SY1011,type,
sK54_SY1011: ( $i > $i > $o ) > $i ).
thf(tp_sK55_SY1015,type,
sK55_SY1015: ( $i > $i > $o ) > $i > $i ).
thf(tp_sK56_SY1019,type,
sK56_SY1019: ( $i > $i > $o ) > $i ).
thf(tp_sK57_SY1023,type,
sK57_SY1023: ( $i > $i > $o ) > $i ).
thf(tp_sK58_SY1027,type,
sK58_SY1027: ( $i > $i > $o ) > $i ).
thf(tp_sK59_SY971,type,
sK59_SY971: ( $i > $i > $o ) > $i ).
thf(tp_sK5_E,type,
sK5_E: ( $i > $i > $o ) > $i ).
thf(tp_sK60_SY971,type,
sK60_SY971: ( $i > $i > $o ) > $i ).
thf(tp_sK61_SY971,type,
sK61_SY971: ( $i > $i > $o ) > $i ).
thf(tp_sK62_SY971,type,
sK62_SY971: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK63_E,type,
sK63_E: $i ).
thf(tp_sK64_E,type,
sK64_E: $i ).
thf(tp_sK65_E,type,
sK65_E: $i ).
thf(tp_sK66_E,type,
sK66_E: $i ).
thf(tp_sK67_E,type,
sK67_E: ( $i > $i > $o ) > $i ).
thf(tp_sK68_E,type,
sK68_E: ( $i > $i > $o ) > $i ).
thf(tp_sK69_E,type,
sK69_E: $i ).
thf(tp_sK6_SY661,type,
sK6_SY661: ( $i > $i > $o ) > $i ).
thf(tp_sK70_E,type,
sK70_E: $i ).
thf(tp_sK71_E,type,
sK71_E: $i ).
thf(tp_sK72_E,type,
sK72_E: $i ).
thf(tp_sK73_E,type,
sK73_E: $i ).
thf(tp_sK74_E,type,
sK74_E: $i ).
thf(tp_sK75_E,type,
sK75_E: $i ).
thf(tp_sK76_E,type,
sK76_E: $i ).
thf(tp_sK77_E,type,
sK77_E: ( $i > $i > $o ) > $i ).
thf(tp_sK78_E,type,
sK78_E: ( $i > $i > $o ) > $i ).
thf(tp_sK79_E,type,
sK79_E: $i ).
thf(tp_sK7_E,type,
sK7_E: ( $i > $i > $o ) > $i ).
thf(tp_sK80_E,type,
sK80_E: $i ).
thf(tp_sK81_E,type,
sK81_E: $i ).
thf(tp_sK82_E,type,
sK82_E: $i ).
thf(tp_sK83_E,type,
sK83_E: $i ).
thf(tp_sK84_E,type,
sK84_E: $i ).
thf(tp_sK85_E,type,
sK85_E: $i ).
thf(tp_sK86_E,type,
sK86_E: $i ).
thf(tp_sK87_E,type,
sK87_E: ( $i > $i > $o ) > $i ).
thf(tp_sK88_E,type,
sK88_E: ( $i > $i > $o ) > $i ).
thf(tp_sK89_E,type,
sK89_E: $i ).
thf(tp_sK8_E,type,
sK8_E: ( $i > $i > $o ) > $i ).
thf(tp_sK90_E,type,
sK90_E: $i ).
thf(tp_sK91_E,type,
sK91_E: $i ).
thf(tp_sK92_E,type,
sK92_E: $i ).
thf(tp_sK93_E,type,
sK93_E: $i > $i ).
thf(tp_sK94_E,type,
sK94_E: $i > $i ).
thf(tp_sK95_E,type,
sK95_E: $i > $i ).
thf(tp_sK96_E,type,
sK96_E: $i > $i ).
thf(tp_sK97_E,type,
sK97_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK98_E,type,
sK98_E: ( $i > $i > $o ) > $i > $i ).
thf(tp_sK99_E,type,
sK99_E: $i > $i ).
thf(tp_sK9_SY665,type,
sK9_SY665: ( $i > $i > $o ) > $i ).
thf(tp_setOfPairsIsBReln1,type,
setOfPairsIsBReln1: $o ).
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(setOfPairsIsBReln1,definition,
( setOfPairsIsBReln1
= ( ! [A: $i,Xphi: $i > $i > $o] :
( breln1 @ A
@ ( dpsetconstr @ A @ A
@ ^ [Xx: $i,Xy: $i] : ( Xphi @ Xx @ Xy ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setOfPairsIsBReln1) ).
thf(1,conjecture,
( setOfPairsIsBReln1
=> ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ( breln1 @ A @ ( breln1compset @ A @ R @ S ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1compprop) ).
thf(2,negated_conjecture,
( ( setOfPairsIsBReln1
=> ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ( breln1 @ A @ ( breln1compset @ A @ R @ S ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
setOfPairsIsBReln1 = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ( breln1 @ A @ ( breln1compset @ A @ R @ S ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[2]) ).
thf(5,plain,
( ( ~ ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ( breln1 @ A @ ( breln1compset @ A @ R @ S ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(6,plain,
( ( ( breln1 @ sK1_A @ sK2_SY650 )
& ( breln1 @ sK1_A @ sK3_SY652 )
& ~ ( breln1 @ sK1_A @ ( breln1compset @ sK1_A @ sK2_SY650 @ sK3_SY652 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(7,plain,
setOfPairsIsBReln1 = $true,
inference(copy,[status(thm)],[3]) ).
thf(8,plain,
( ( ( breln1 @ sK1_A @ sK2_SY650 )
& ( breln1 @ sK1_A @ sK3_SY652 )
& ~ ( breln1 @ sK1_A @ ( breln1compset @ sK1_A @ sK2_SY650 @ sK3_SY652 ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(9,plain,
( ( ~ ( ~ ( subset @ sK2_SY650 @ ( cartprod @ sK1_A @ sK1_A ) )
| ~ ~ ( ~ ( subset @ sK3_SY652 @ ( cartprod @ sK1_A @ sK1_A ) )
| ~ ~ ( subset
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
@ ( cartprod @ sK1_A @ sK1_A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,breln,breln1,breln1compset,setOfPairsIsBReln1]) ).
thf(10,plain,
( ( ! [SX0: $i,SX1: $i > $i > $o] :
( subset
@ ( dpsetconstr @ SX0 @ SX0
@ ^ [SX2: $i,SX3: $i] : ( SX1 @ SX2 @ SX3 ) )
@ ( cartprod @ SX0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,breln,breln1,breln1compset,setOfPairsIsBReln1]) ).
thf(11,plain,
( ( ~ ( subset @ sK2_SY650 @ ( cartprod @ sK1_A @ sK1_A ) )
| ~ ~ ( ~ ( subset @ sK3_SY652 @ ( cartprod @ sK1_A @ sK1_A ) )
| ~ ~ ( subset
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
@ ( cartprod @ sK1_A @ sK1_A ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[9]) ).
thf(12,plain,
! [SV1: $i] :
( ( ! [SY653: $i > $i > $o] :
( subset
@ ( dpsetconstr @ SV1 @ SV1
@ ^ [SX2: $i,SX3: $i] : ( SY653 @ SX2 @ SX3 ) )
@ ( cartprod @ SV1 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ( subset @ sK2_SY650 @ ( cartprod @ sK1_A @ sK1_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ~ ( ~ ( subset @ sK3_SY652 @ ( cartprod @ sK1_A @ sK1_A ) )
| ~ ~ ( subset
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
@ ( cartprod @ sK1_A @ sK1_A ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[11]) ).
thf(15,plain,
! [SV2: $i > $i > $o,SV1: $i] :
( ( subset
@ ( dpsetconstr @ SV1 @ SV1
@ ^ [SY656: $i,SY657: $i] : ( SV2 @ SY656 @ SY657 ) )
@ ( cartprod @ SV1 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(16,plain,
( ( subset @ sK2_SY650 @ ( cartprod @ sK1_A @ sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(17,plain,
( ( ~ ( ~ ( subset @ sK3_SY652 @ ( cartprod @ sK1_A @ sK1_A ) )
| ~ ~ ( subset
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
@ ( cartprod @ sK1_A @ sK1_A ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(18,plain,
( ( ~ ( subset @ sK3_SY652 @ ( cartprod @ sK1_A @ sK1_A ) )
| ~ ~ ( subset
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
@ ( cartprod @ sK1_A @ sK1_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(19,plain,
( ( ~ ( subset @ sK3_SY652 @ ( cartprod @ sK1_A @ sK1_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(20,plain,
( ( ~ ~ ( subset
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
@ ( cartprod @ sK1_A @ sK1_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(21,plain,
( ( subset @ sK3_SY652 @ ( cartprod @ sK1_A @ sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(22,plain,
( ( ~ ( subset
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
@ ( cartprod @ sK1_A @ sK1_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(23,plain,
( ( subset
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
@ ( cartprod @ sK1_A @ sK1_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(24,plain,
! [SV3: $i > $i > $o,SV4: $i] :
( ( subset
@ ( dpsetconstr @ SV4 @ SV4
@ ^ [SX0: $i,SX1: $i] : ( SV3 @ SX0 @ SX1 ) )
@ ( cartprod @ SV4 @ SV4 ) )
= $true ),
inference(rename,[status(thm)],[15]) ).
thf(25,plain,
! [SV3: $i > $i > $o,SV4: $i] :
( ( ( subset
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
@ ( cartprod @ sK1_A @ sK1_A ) )
= ( subset
@ ( dpsetconstr @ SV4 @ SV4
@ ^ [SX0: $i,SX1: $i] : ( SV3 @ SX0 @ SX1 ) )
@ ( cartprod @ SV4 @ SV4 ) ) )
= $false ),
inference(res,[status(thm)],[23,24]) ).
thf(26,plain,
( ( ( subset
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
@ ( cartprod @ sK1_A @ sK1_A ) )
= ( subset @ sK3_SY652 @ ( cartprod @ sK1_A @ sK1_A ) ) )
= $false ),
inference(res,[status(thm)],[23,21]) ).
thf(27,plain,
( ( ( subset
@ ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
@ ( cartprod @ sK1_A @ sK1_A ) )
= ( subset @ sK2_SY650 @ ( cartprod @ sK1_A @ sK1_A ) ) )
= $false ),
inference(res,[status(thm)],[23,16]) ).
thf(28,plain,
( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= sK2_SY650 )
= $false ),
inference(extuni,[status(esa)],[27]) ).
thf(29,plain,
( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= sK3_SY652 )
= $false ),
inference(extuni,[status(esa)],[26]) ).
thf(30,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ! [SY661: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY661 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK4_E @ SV3 ) @ SY661 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY661 @ ( sK5_E @ SV3 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[25:[bind(SV4,$thf( sK1_A ))]]) ).
thf(31,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ! [SY661: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY661 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK4_E @ SV3 ) @ SY661 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY661 @ ( sK5_E @ SV3 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[25:[bind(SV4,$thf( sK1_A ))]]) ).
thf(32,plain,
! [SV3: $i > $i > $o] :
( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV3 @ SX0 @ SX1 ) ) )
= $false ),
inference(extuni,[status(esa)],[25:[bind(SV4,$thf( sK1_A ))]]) ).
thf(33,plain,
! [SV3: $i > $i > $o,SV4: $i] :
( ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ SV4 @ SV4 ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ SV4 @ SV4
@ ^ [SX0: $i,SX1: $i] : ( SV3 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[25]) ).
thf(34,plain,
! [SV3: $i > $i > $o] :
( ( ( ! [SY661: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY661 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK4_E @ SV3 ) @ SY661 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY661 @ ( sK5_E @ SV3 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(35,plain,
! [SV3: $i > $i > $o] :
( ( ( ! [SY661: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY661 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK4_E @ SV3 ) @ SY661 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY661 @ ( sK5_E @ SV3 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(36,plain,
! [SV3: $i > $i > $o,SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV5 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK4_E @ SV3 ) @ SV5 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV5 @ ( sK5_E @ SV3 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(37,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK6_SY661 @ SV3 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK4_E @ SV3 ) @ ( sK6_SY661 @ SV3 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK6_SY661 @ SV3 ) @ ( sK5_E @ SV3 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[35]) ).
thf(38,plain,
! [SV3: $i > $i > $o,SV5: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV5 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK4_E @ SV3 ) @ SV5 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV5 @ ( sK5_E @ SV3 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(39,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK6_SY661 @ SV3 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK4_E @ SV3 ) @ ( sK6_SY661 @ SV3 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK6_SY661 @ SV3 ) @ ( sK5_E @ SV3 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(40,plain,
! [SV3: $i > $i > $o,SV5: $i] :
( ( ( ~ ~ ( ~ ( in @ SV5 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK4_E @ SV3 ) @ SV5 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV5 @ ( sK5_E @ SV3 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(41,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK6_SY661 @ SV3 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK4_E @ SV3 ) @ ( sK6_SY661 @ SV3 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK6_SY661 @ SV3 ) @ ( sK5_E @ SV3 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(42,plain,
! [SV3: $i > $i > $o,SV5: $i] :
( ( ( ~ ~ ( ~ ( in @ SV5 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK4_E @ SV3 ) @ SV5 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV5 @ ( sK5_E @ SV3 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(43,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK6_SY661 @ SV3 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK4_E @ SV3 ) @ ( sK6_SY661 @ SV3 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(44,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK6_SY661 @ SV3 ) @ ( sK5_E @ SV3 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(45,plain,
! [SV3: $i > $i > $o,SV5: $i] :
( ( ( ~ ( ~ ( in @ SV5 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK4_E @ SV3 ) @ SV5 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV5 @ ( sK5_E @ SV3 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(46,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK6_SY661 @ SV3 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK4_E @ SV3 ) @ ( sK6_SY661 @ SV3 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(47,plain,
! [SV3: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK6_SY661 @ SV3 ) @ ( sK5_E @ SV3 ) ) @ sK3_SY652 )
= $true )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(48,plain,
! [SV3: $i > $i > $o,SV5: $i] :
( ( ( ~ ( in @ SV5 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK4_E @ SV3 ) @ SV5 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV5 @ ( sK5_E @ SV3 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(49,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( in @ ( sK6_SY661 @ SV3 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK4_E @ SV3 ) @ ( sK6_SY661 @ SV3 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(50,plain,
! [SV3: $i > $i > $o,SV5: $i] :
( ( ( ~ ( in @ SV5 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK4_E @ SV3 ) @ SV5 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV5 @ ( sK5_E @ SV3 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(51,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( in @ ( sK6_SY661 @ SV3 ) @ sK1_A ) )
= $false )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(52,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK4_E @ SV3 ) @ ( sK6_SY661 @ SV3 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(53,plain,
! [SV3: $i > $i > $o,SV5: $i] :
( ( ( in @ SV5 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK4_E @ SV3 ) @ SV5 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV5 @ ( sK5_E @ SV3 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(54,plain,
! [SV3: $i > $i > $o] :
( ( ( in @ ( sK6_SY661 @ SV3 ) @ sK1_A )
= $true )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(55,plain,
! [SV3: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK4_E @ SV3 ) @ ( sK6_SY661 @ SV3 ) ) @ sK2_SY650 )
= $true )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(56,plain,
! [SV5: $i,SV3: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK4_E @ SV3 ) @ SV5 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV5 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV5 @ ( sK5_E @ SV3 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(57,plain,
! [SV3: $i > $i > $o,SV5: $i] :
( ( ( in @ ( kpair @ SV5 @ ( sK5_E @ SV3 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV5 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV3 ) @ SV5 ) @ sK2_SY650 )
= $false )
| ( ( SV3 @ ( sK4_E @ SV3 ) @ ( sK5_E @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(64,plain,
! [SV6: $i > $i > $o] :
( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
= $false ),
inference(rename,[status(thm)],[32]) ).
thf(68,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY665: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY665 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK7_E @ SV6 ) @ SY665 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY665 @ ( sK8_E @ SV6 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extuni,[status(esa)],[64]) ).
thf(69,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY665: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY665 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK7_E @ SV6 ) @ SY665 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY665 @ ( sK8_E @ SV6 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $false ) ),
inference(extuni,[status(esa)],[64]) ).
thf(70,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY665: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY665 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK7_E @ SV6 ) @ SY665 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY665 @ ( sK8_E @ SV6 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(71,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY665: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY665 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK7_E @ SV6 ) @ SY665 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY665 @ ( sK8_E @ SV6 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(72,plain,
! [SV6: $i > $i > $o,SV7: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV7 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK7_E @ SV6 ) @ SV7 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV7 @ ( sK8_E @ SV6 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(73,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK9_SY665 @ SV6 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK7_E @ SV6 ) @ ( sK9_SY665 @ SV6 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK9_SY665 @ SV6 ) @ ( sK8_E @ SV6 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[71]) ).
thf(74,plain,
! [SV6: $i > $i > $o,SV7: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV7 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK7_E @ SV6 ) @ SV7 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV7 @ ( sK8_E @ SV6 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(75,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK9_SY665 @ SV6 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK7_E @ SV6 ) @ ( sK9_SY665 @ SV6 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK9_SY665 @ SV6 ) @ ( sK8_E @ SV6 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(76,plain,
! [SV6: $i > $i > $o,SV7: $i] :
( ( ( ~ ~ ( ~ ( in @ SV7 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK7_E @ SV6 ) @ SV7 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV7 @ ( sK8_E @ SV6 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(77,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK9_SY665 @ SV6 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK7_E @ SV6 ) @ ( sK9_SY665 @ SV6 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK9_SY665 @ SV6 ) @ ( sK8_E @ SV6 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(78,plain,
! [SV6: $i > $i > $o,SV7: $i] :
( ( ( ~ ~ ( ~ ( in @ SV7 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK7_E @ SV6 ) @ SV7 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV7 @ ( sK8_E @ SV6 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(79,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK9_SY665 @ SV6 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK7_E @ SV6 ) @ ( sK9_SY665 @ SV6 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(80,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK9_SY665 @ SV6 ) @ ( sK8_E @ SV6 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(81,plain,
! [SV6: $i > $i > $o,SV7: $i] :
( ( ( ~ ( ~ ( in @ SV7 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK7_E @ SV6 ) @ SV7 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV7 @ ( sK8_E @ SV6 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(82,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK9_SY665 @ SV6 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK7_E @ SV6 ) @ ( sK9_SY665 @ SV6 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(83,plain,
! [SV6: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK9_SY665 @ SV6 ) @ ( sK8_E @ SV6 ) ) @ sK3_SY652 )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(84,plain,
! [SV6: $i > $i > $o,SV7: $i] :
( ( ( ~ ( in @ SV7 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK7_E @ SV6 ) @ SV7 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV7 @ ( sK8_E @ SV6 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(85,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( in @ ( sK9_SY665 @ SV6 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK7_E @ SV6 ) @ ( sK9_SY665 @ SV6 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(86,plain,
! [SV6: $i > $i > $o,SV7: $i] :
( ( ( ~ ( in @ SV7 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK7_E @ SV6 ) @ SV7 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV7 @ ( sK8_E @ SV6 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(87,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( in @ ( sK9_SY665 @ SV6 ) @ sK1_A ) )
= $false )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(88,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK7_E @ SV6 ) @ ( sK9_SY665 @ SV6 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(89,plain,
! [SV6: $i > $i > $o,SV7: $i] :
( ( ( in @ SV7 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK7_E @ SV6 ) @ SV7 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV7 @ ( sK8_E @ SV6 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(90,plain,
! [SV6: $i > $i > $o] :
( ( ( in @ ( sK9_SY665 @ SV6 ) @ sK1_A )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(91,plain,
! [SV6: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK7_E @ SV6 ) @ ( sK9_SY665 @ SV6 ) ) @ sK2_SY650 )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(92,plain,
! [SV7: $i,SV6: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK7_E @ SV6 ) @ SV7 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV7 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV7 @ ( sK8_E @ SV6 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(93,plain,
! [SV6: $i > $i > $o,SV7: $i] :
( ( ( in @ ( kpair @ SV7 @ ( sK8_E @ SV6 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV7 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK7_E @ SV6 ) @ SV7 ) @ sK2_SY650 )
= $false )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(94,plain,
! [SV8: $i > $i > $o,SV9: $i] :
( ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ SV9 @ SV9 ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(rename,[status(thm)],[33]) ).
thf(101,plain,
! [SV8: $i > $i > $o,SV9: $i] :
( ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ SV9 @ SV9 ) )
= ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[94]) ).
thf(102,plain,
! [SV8: $i > $i > $o] :
( ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ~ ! [SY673: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY673 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SY673 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY673 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extuni,[status(esa)],[101:[bind(SV9,$thf( sK1_A ))]]) ).
thf(103,plain,
! [SV8: $i > $i > $o] :
( ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ~ ! [SY673: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY673 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SY673 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY673 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extuni,[status(esa)],[101:[bind(SV9,$thf( sK1_A ))]]) ).
thf(105,plain,
! [SV8: $i > $i > $o] :
( ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ! [SY673: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY673 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SY673 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY673 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extuni,[status(esa)],[101:[bind(SV9,$thf( sK1_A ))]]) ).
thf(106,plain,
! [SV8: $i > $i > $o] :
( ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ~ ! [SY673: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY673 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SY673 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY673 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extuni,[status(esa)],[101:[bind(SV9,$thf( sK1_A ))]]) ).
thf(107,plain,
! [SV8: $i > $i > $o] :
( ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ~ ! [SY673: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY673 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SY673 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY673 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extuni,[status(esa)],[101:[bind(SV9,$thf( sK1_A ))]]) ).
thf(109,plain,
! [SV8: $i > $i > $o] :
( ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ! [SY673: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY673 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SY673 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY673 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extuni,[status(esa)],[101:[bind(SV9,$thf( sK1_A ))]]) ).
thf(110,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ! [SY677: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY677 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK13_E @ SV8 ) @ SY677 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY677 @ ( sK14_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extuni,[status(esa)],[94:[bind(SV9,$thf( sK1_A ))]]) ).
thf(111,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ! [SY677: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY677 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK13_E @ SV8 ) @ SY677 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY677 @ ( sK14_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $false ) ),
inference(extuni,[status(esa)],[94:[bind(SV9,$thf( sK1_A ))]]) ).
thf(112,plain,
! [SV8: $i > $i > $o] :
( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false ),
inference(extuni,[status(esa)],[94:[bind(SV9,$thf( sK1_A ))]]) ).
thf(113,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY673: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY673 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SY673 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY673 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(115,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY673: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY673 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SY673 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY673 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(116,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY673: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY673 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SY673 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY673 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(117,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY673: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY673 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SY673 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY673 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(119,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY673: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY673 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SY673 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY673 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(120,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY673: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY673 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SY673 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY673 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(121,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY677: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY677 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK13_E @ SV8 ) @ SY677 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY677 @ ( sK14_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(122,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY677: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY677 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK13_E @ SV8 ) @ SY677 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY677 @ ( sK14_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(123,plain,
! [SV8: $i > $i > $o,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV10 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(125,plain,
! [SV8: $i > $i > $o,SV12: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV12 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV12 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV12 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(126,plain,
! [SV8: $i > $i > $o,SV13: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV13 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV13 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV13 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(127,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[117]) ).
thf(129,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK17_SY673 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK17_SY673 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK17_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[119]) ).
thf(130,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK18_SY673 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK18_SY673 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK18_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[120]) ).
thf(131,plain,
! [SV8: $i > $i > $o,SV14: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV14 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK13_E @ SV8 ) @ SV14 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV14 @ ( sK14_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(132,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK19_SY677 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK13_E @ SV8 ) @ ( sK19_SY677 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK19_SY677 @ SV8 ) @ ( sK14_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[122]) ).
thf(133,plain,
! [SV8: $i > $i > $o,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV10 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(135,plain,
! [SV8: $i > $i > $o,SV12: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV12 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV12 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV12 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(136,plain,
! [SV8: $i > $i > $o,SV13: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV13 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV13 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV13 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(137,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(139,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK17_SY673 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK17_SY673 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK17_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(140,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK18_SY673 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK18_SY673 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK18_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(141,plain,
! [SV8: $i > $i > $o,SV14: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV14 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK13_E @ SV8 ) @ SV14 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV14 @ ( sK14_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(142,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK19_SY677 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK13_E @ SV8 ) @ ( sK19_SY677 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK19_SY677 @ SV8 ) @ ( sK14_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(143,plain,
! [SV8: $i > $i > $o,SV10: $i] :
( ( ( ~ ~ ( ~ ( in @ SV10 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(145,plain,
! [SV8: $i > $i > $o,SV12: $i] :
( ( ( ~ ~ ( ~ ( in @ SV12 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV12 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV12 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(146,plain,
! [SV8: $i > $i > $o,SV13: $i] :
( ( ( ~ ~ ( ~ ( in @ SV13 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV13 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV13 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(147,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(149,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK17_SY673 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK17_SY673 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK17_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(150,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK18_SY673 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK18_SY673 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK18_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(151,plain,
! [SV8: $i > $i > $o,SV14: $i] :
( ( ( ~ ~ ( ~ ( in @ SV14 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK13_E @ SV8 ) @ SV14 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV14 @ ( sK14_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(152,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK19_SY677 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK13_E @ SV8 ) @ ( sK19_SY677 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK19_SY677 @ SV8 ) @ ( sK14_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(153,plain,
! [SV8: $i > $i > $o,SV10: $i] :
( ( ( ~ ~ ( ~ ( in @ SV10 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(155,plain,
! [SV8: $i > $i > $o,SV12: $i] :
( ( ( ~ ~ ( ~ ( in @ SV12 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV12 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV12 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(156,plain,
! [SV8: $i > $i > $o,SV13: $i] :
( ( ( ~ ~ ( ~ ( in @ SV13 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV13 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV13 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(157,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(158,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(161,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK17_SY673 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK17_SY673 @ SV8 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(162,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK17_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(163,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK18_SY673 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK18_SY673 @ SV8 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(164,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK18_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(165,plain,
! [SV8: $i > $i > $o,SV14: $i] :
( ( ( ~ ~ ( ~ ( in @ SV14 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK13_E @ SV8 ) @ SV14 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV14 @ ( sK14_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(166,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK19_SY677 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK13_E @ SV8 ) @ ( sK19_SY677 @ SV8 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(167,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK19_SY677 @ SV8 ) @ ( sK14_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(168,plain,
! [SV8: $i > $i > $o,SV10: $i] :
( ( ( ~ ( ~ ( in @ SV10 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(170,plain,
! [SV8: $i > $i > $o,SV12: $i] :
( ( ( ~ ( ~ ( in @ SV12 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV12 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV12 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(171,plain,
! [SV8: $i > $i > $o,SV13: $i] :
( ( ( ~ ( ~ ( in @ SV13 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV13 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV13 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(172,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(173,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(176,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK17_SY673 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK17_SY673 @ SV8 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(177,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK17_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(178,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK18_SY673 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK18_SY673 @ SV8 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(179,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK18_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(180,plain,
! [SV8: $i > $i > $o,SV14: $i] :
( ( ( ~ ( ~ ( in @ SV14 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK13_E @ SV8 ) @ SV14 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV14 @ ( sK14_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(181,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK19_SY677 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK13_E @ SV8 ) @ ( sK19_SY677 @ SV8 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(182,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK19_SY677 @ SV8 ) @ ( sK14_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(183,plain,
! [SV8: $i > $i > $o,SV10: $i] :
( ( ( ~ ( in @ SV10 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(185,plain,
! [SV8: $i > $i > $o,SV12: $i] :
( ( ( ~ ( in @ SV12 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV12 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV12 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(186,plain,
! [SV8: $i > $i > $o,SV13: $i] :
( ( ( ~ ( in @ SV13 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV13 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV13 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(187,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(189,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK17_SY673 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK17_SY673 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(190,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK18_SY673 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK18_SY673 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(191,plain,
! [SV8: $i > $i > $o,SV14: $i] :
( ( ( ~ ( in @ SV14 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK13_E @ SV8 ) @ SV14 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV14 @ ( sK14_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(192,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK19_SY677 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK13_E @ SV8 ) @ ( sK19_SY677 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(193,plain,
! [SV8: $i > $i > $o,SV10: $i] :
( ( ( ~ ( in @ SV10 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(195,plain,
! [SV8: $i > $i > $o,SV12: $i] :
( ( ( ~ ( in @ SV12 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV12 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV12 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(196,plain,
! [SV8: $i > $i > $o,SV13: $i] :
( ( ( ~ ( in @ SV13 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV13 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV13 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(197,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(198,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(201,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK17_SY673 @ SV8 ) @ sK1_A ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(202,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK17_SY673 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(203,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK18_SY673 @ SV8 ) @ sK1_A ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(204,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK18_SY673 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(205,plain,
! [SV8: $i > $i > $o,SV14: $i] :
( ( ( ~ ( in @ SV14 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK13_E @ SV8 ) @ SV14 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV14 @ ( sK14_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(206,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK19_SY677 @ SV8 ) @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(207,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK13_E @ SV8 ) @ ( sK19_SY677 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(208,plain,
! [SV8: $i > $i > $o,SV10: $i] :
( ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(210,plain,
! [SV8: $i > $i > $o,SV12: $i] :
( ( ( in @ SV12 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV12 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV12 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(211,plain,
! [SV8: $i > $i > $o,SV13: $i] :
( ( ( in @ SV13 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV13 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV13 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(212,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(213,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(216,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( sK17_SY673 @ SV8 ) @ sK1_A )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(217,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK17_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(218,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( sK18_SY673 @ SV8 ) @ sK1_A )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(219,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK18_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(220,plain,
! [SV8: $i > $i > $o,SV14: $i] :
( ( ( in @ SV14 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK13_E @ SV8 ) @ SV14 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV14 @ ( sK14_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(221,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( sK19_SY677 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(222,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK13_E @ SV8 ) @ ( sK19_SY677 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(223,plain,
! [SV10: $i,SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(225,plain,
! [SV12: $i,SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV12 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV12 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV12 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(226,plain,
! [SV13: $i,SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV13 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV13 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV13 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(227,plain,
! [SV14: $i,SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK13_E @ SV8 ) @ SV14 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV14 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV14 @ ( sK14_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(228,plain,
! [SV8: $i > $i > $o,SV10: $i] :
( ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ sK1_A @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(230,plain,
! [SV8: $i > $i > $o,SV12: $i] :
( ( ( in @ ( kpair @ SV12 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV12 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV12 ) @ sK2_SY650 )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(231,plain,
! [SV8: $i > $i > $o,SV13: $i] :
( ( ( in @ ( kpair @ SV13 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV13 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV13 ) @ sK2_SY650 )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(232,plain,
! [SV8: $i > $i > $o,SV14: $i] :
( ( ( in @ ( kpair @ SV14 @ ( sK14_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV14 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK13_E @ SV8 ) @ SV14 ) @ sK2_SY650 )
= $false )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(233,plain,
! [SV8: $i > $i > $o,SV10: $i] :
( ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false ) ),
inference(sim,[status(thm)],[228]) ).
thf(234,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(sim,[status(thm)],[212]) ).
thf(235,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(sim,[status(thm)],[213]) ).
thf(236,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true ) ),
inference(sim,[status(thm)],[173]) ).
thf(237,plain,
! [SV15: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK6_SY661 @ SV15 ) @ ( sK5_E @ SV15 ) ) @ sK3_SY652 )
= $true )
| ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true ) ),
inference(rename,[status(thm)],[47]) ).
thf(251,plain,
( ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK3_SY652 )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV15,$thf( ^ [SV19: $i] : ^ [SV20: $i] : $false ))]]) ).
thf(252,plain,
( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK3_SY652 )
= $true ),
inference(sim,[status(thm)],[251]) ).
thf(253,plain,
! [SV18: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $true )
| ( ( ~ ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV15,$thf( ^ [SV16: $i] : ^ [SV17: $i] : ~ ( SV18 @ SV16 @ SV17 ) ))]]) ).
thf(254,plain,
( ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $true )
| ( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV15,$thf( ^ [SY684: $i] : ^ [SY685: $i] : ( SY684 != SY685 ) ))]]) ).
thf(255,plain,
( ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK3_SY652 )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV15,$thf( ^ [SV24: $i] : ^ [SV23: $i] : ( SV24 = SV23 ) ))]]) ).
thf(257,plain,
! [SV18: $i > $i > $o] :
( ( ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(258,plain,
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(259,plain,
! [SV97: $i > $i > $o] :
( ( ( in @ ( sK6_SY661 @ SV97 ) @ sK1_A )
= $true )
| ( ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) )
= $true ) ),
inference(rename,[status(thm)],[54]) ).
thf(273,plain,
( ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK1_A )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[259:[bind(SV97,$thf( ^ [SV101: $i] : ^ [SV102: $i] : $false ))]]) ).
thf(274,plain,
( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK1_A )
= $true ),
inference(sim,[status(thm)],[273]) ).
thf(275,plain,
! [SV100: $i > $i > $o] :
( ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ sK1_A )
= $true )
| ( ( ~ ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[259:[bind(SV97,$thf( ^ [SV98: $i] : ^ [SV99: $i] : ~ ( SV100 @ SV98 @ SV99 ) ))]]) ).
thf(276,plain,
( ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ sK1_A )
= $true )
| ( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[259:[bind(SV97,$thf( ^ [SY728: $i] : ^ [SY729: $i] : ( SY728 != SY729 ) ))]]) ).
thf(277,plain,
( ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK1_A )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[259:[bind(SV97,$thf( ^ [SV106: $i] : ^ [SV105: $i] : ( SV106 = SV105 ) ))]]) ).
thf(279,plain,
! [SV100: $i > $i > $o] :
( ( ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(280,plain,
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(281,plain,
! [SV179: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK4_E @ SV179 ) @ ( sK6_SY661 @ SV179 ) ) @ sK2_SY650 )
= $true )
| ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true ) ),
inference(rename,[status(thm)],[55]) ).
thf(295,plain,
( ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK2_SY650 )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[281:[bind(SV179,$thf( ^ [SV183: $i] : ^ [SV184: $i] : $false ))]]) ).
thf(296,plain,
( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK2_SY650 )
= $true ),
inference(sim,[status(thm)],[295]) ).
thf(297,plain,
! [SV182: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $true )
| ( ( ~ ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[281:[bind(SV179,$thf( ^ [SV180: $i] : ^ [SV181: $i] : ~ ( SV182 @ SV180 @ SV181 ) ))]]) ).
thf(298,plain,
( ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK2_SY650 )
= $true )
| ( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[281:[bind(SV179,$thf( ^ [SY772: $i] : ^ [SY773: $i] : ( SY772 != SY773 ) ))]]) ).
thf(299,plain,
( ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK2_SY650 )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[281:[bind(SV179,$thf( ^ [SV188: $i] : ^ [SV187: $i] : ( SV188 = SV187 ) ))]]) ).
thf(301,plain,
! [SV182: $i > $i > $o] :
( ( ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(302,plain,
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK2_SY650 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(303,plain,
! [SV261: $i > $i > $o,SV262: $i] :
( ( ( in @ ( kpair @ SV262 @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ SV262 ) @ sK2_SY650 )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false ) ),
inference(rename,[status(thm)],[57]) ).
thf(309,plain,
! [SV261: $i > $i > $o,SV262: $i,SV179: $i > $i > $o] :
( ( ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ SV262 ) @ sK2_SY650 )
= ( in @ ( kpair @ ( sK4_E @ SV179 ) @ ( sK6_SY661 @ SV179 ) ) @ sK2_SY650 ) )
= $false )
| ( ( in @ ( kpair @ SV262 @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true ) ),
inference(res,[status(thm)],[303,281]) ).
thf(310,plain,
! [SV261: $i > $i > $o,SV262: $i,SV179: $i > $i > $o] :
( ( ( ( in @ SV262 @ sK1_A )
= ( in @ ( kpair @ ( sK4_E @ SV179 ) @ ( sK6_SY661 @ SV179 ) ) @ sK2_SY650 ) )
= $false )
| ( ( in @ ( kpair @ SV262 @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ SV262 ) @ sK2_SY650 )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true ) ),
inference(res,[status(thm)],[303,281]) ).
thf(311,plain,
! [SV261: $i > $i > $o,SV262: $i,SV179: $i > $i > $o] :
( ( ( ( in @ ( kpair @ SV262 @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= ( in @ ( kpair @ ( sK4_E @ SV179 ) @ ( sK6_SY661 @ SV179 ) ) @ sK2_SY650 ) )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ SV262 ) @ sK2_SY650 )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true ) ),
inference(res,[status(thm)],[303,281]) ).
thf(317,plain,
! [SV261: $i > $i > $o,SV262: $i,SV97: $i > $i > $o] :
( ( ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ SV262 ) @ sK2_SY650 )
= ( in @ ( sK6_SY661 @ SV97 ) @ sK1_A ) )
= $false )
| ( ( in @ ( kpair @ SV262 @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) )
= $true ) ),
inference(res,[status(thm)],[303,259]) ).
thf(318,plain,
! [SV261: $i > $i > $o,SV262: $i,SV97: $i > $i > $o] :
( ( ( ( in @ SV262 @ sK1_A )
= ( in @ ( sK6_SY661 @ SV97 ) @ sK1_A ) )
= $false )
| ( ( in @ ( kpair @ SV262 @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ SV262 ) @ sK2_SY650 )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) )
= $true ) ),
inference(res,[status(thm)],[303,259]) ).
thf(319,plain,
! [SV261: $i > $i > $o,SV262: $i,SV97: $i > $i > $o] :
( ( ( ( in @ ( kpair @ SV262 @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= ( in @ ( sK6_SY661 @ SV97 ) @ sK1_A ) )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ SV262 ) @ sK2_SY650 )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) )
= $true ) ),
inference(res,[status(thm)],[303,259]) ).
thf(325,plain,
! [SV261: $i > $i > $o,SV262: $i,SV15: $i > $i > $o] :
( ( ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ SV262 ) @ sK2_SY650 )
= ( in @ ( kpair @ ( sK6_SY661 @ SV15 ) @ ( sK5_E @ SV15 ) ) @ sK3_SY652 ) )
= $false )
| ( ( in @ ( kpair @ SV262 @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true ) ),
inference(res,[status(thm)],[303,237]) ).
thf(326,plain,
! [SV261: $i > $i > $o,SV262: $i,SV15: $i > $i > $o] :
( ( ( ( in @ SV262 @ sK1_A )
= ( in @ ( kpair @ ( sK6_SY661 @ SV15 ) @ ( sK5_E @ SV15 ) ) @ sK3_SY652 ) )
= $false )
| ( ( in @ ( kpair @ SV262 @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ SV262 ) @ sK2_SY650 )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true ) ),
inference(res,[status(thm)],[303,237]) ).
thf(327,plain,
! [SV261: $i > $i > $o,SV262: $i,SV15: $i > $i > $o] :
( ( ( ( in @ ( kpair @ SV262 @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= ( in @ ( kpair @ ( sK6_SY661 @ SV15 ) @ ( sK5_E @ SV15 ) ) @ sK3_SY652 ) )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ SV262 ) @ sK2_SY650 )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true ) ),
inference(res,[status(thm)],[303,237]) ).
thf(340,plain,
! [SV262: $i] :
( ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : $true ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : $true )
@ SV262 )
@ sK2_SY650 )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[303:[bind(SV261,$thf( ^ [SV268: $i] : ^ [SV269: $i] : $true ))]]) ).
thf(341,plain,
! [SV262: $i] :
( ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : $true ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : $true )
@ SV262 )
@ sK2_SY650 )
= $false ) ),
inference(sim,[status(thm)],[340]) ).
thf(343,plain,
! [SV265: $i > $i > $o,SV262: $i] :
( ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 ) )
@ SV262 )
@ sK2_SY650 )
= $false )
| ( ( ~ ( SV265
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[303:[bind(SV261,$thf( ^ [SV263: $i] : ^ [SV264: $i] : ~ ( SV265 @ SV263 @ SV264 ) ))]]) ).
thf(344,plain,
! [SV262: $i] :
( ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV262 )
@ sK2_SY650 )
= $false )
| ( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[303:[bind(SV261,$thf( ^ [SY816: $i] : ^ [SY817: $i] : ( SY816 != SY817 ) ))]]) ).
thf(347,plain,
! [SV261: $i > $i > $o,SV15: $i > $i > $o] :
( ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ ( sK6_SY661 @ SV15 ) ) @ sK2_SY650 )
= $false )
| ( ( in @ ( sK6_SY661 @ SV15 ) @ sK1_A )
= $false )
| ( ( ( sK5_E @ SV261 )
= ( sK5_E @ SV15 ) )
= $false ) ),
inference(extuni,[status(esa)],[327:[bind(SV262,$thf( sK6_SY661 @ SV15 ))]]) ).
thf(348,plain,
! [SV262: $i,SV261: $i > $i > $o,SV15: $i > $i > $o] :
( ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ SV262 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( ( kpair @ SV262 @ ( sK5_E @ SV261 ) )
= ( kpair @ ( sK6_SY661 @ SV15 ) @ ( sK5_E @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[327]) ).
thf(349,plain,
! [SV261: $i > $i > $o,SV15: $i > $i > $o] :
( ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ ( kpair @ ( sK6_SY661 @ SV15 ) @ ( sK5_E @ SV15 ) ) ) @ sK2_SY650 )
= $false )
| ( ( in @ ( kpair @ ( kpair @ ( sK6_SY661 @ SV15 ) @ ( sK5_E @ SV15 ) ) @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= $false )
| ( ( sK1_A = sK3_SY652 )
= $false ) ),
inference(extuni,[status(esa)],[326:[bind(SV262,$thf( kpair @ ( sK6_SY661 @ SV15 ) @ ( sK5_E @ SV15 ) ))]]) ).
thf(350,plain,
! [SV261: $i > $i > $o,SV15: $i > $i > $o] :
( ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in @ ( sK5_E @ SV15 ) @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK5_E @ SV15 ) @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= $false )
| ( ( sK2_SY650 = sK3_SY652 )
= $false )
| ( ( ( sK4_E @ SV261 )
= ( sK6_SY661 @ SV15 ) )
= $false ) ),
inference(extuni,[status(esa)],[325:[bind(SV262,$thf( sK5_E @ SV15 ))]]) ).
thf(351,plain,
! [SV262: $i,SV261: $i > $i > $o,SV15: $i > $i > $o] :
( ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV262 @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= $false )
| ( ( sK2_SY650 = sK3_SY652 )
= $false )
| ( ( ( kpair @ ( sK4_E @ SV261 ) @ SV262 )
= ( kpair @ ( sK6_SY661 @ SV15 ) @ ( sK5_E @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[325]) ).
thf(352,plain,
! [SV262: $i,SV261: $i > $i > $o,SV97: $i > $i > $o] :
( ( ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) )
= $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ SV262 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( sK3_SY652 = sK1_A )
= $false )
| ( ( ( kpair @ SV262 @ ( sK5_E @ SV261 ) )
= ( sK6_SY661 @ SV97 ) )
= $false ) ),
inference(extuni,[status(esa)],[319]) ).
thf(353,plain,
! [SV261: $i > $i > $o,SV97: $i > $i > $o] :
( ( ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) )
= $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ ( sK6_SY661 @ SV97 ) ) @ sK2_SY650 )
= $false )
| ( ( in @ ( kpair @ ( sK6_SY661 @ SV97 ) @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= $false ) ),
inference(extuni,[status(esa)],[318:[bind(SV262,$thf( sK6_SY661 @ SV97 ))]]) ).
thf(354,plain,
! [SV262: $i,SV261: $i > $i > $o,SV97: $i > $i > $o] :
( ( ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) )
= $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV262 @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= $false )
| ( ( sK2_SY650 = sK1_A )
= $false )
| ( ( ( kpair @ ( sK4_E @ SV261 ) @ SV262 )
= ( sK6_SY661 @ SV97 ) )
= $false ) ),
inference(extuni,[status(esa)],[317]) ).
thf(355,plain,
! [SV261: $i > $i > $o,SV179: $i > $i > $o] :
( ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ ( sK4_E @ SV179 ) ) @ sK2_SY650 )
= $false )
| ( ( in @ ( sK4_E @ SV179 ) @ sK1_A )
= $false )
| ( ( sK3_SY652 = sK2_SY650 )
= $false )
| ( ( ( sK5_E @ SV261 )
= ( sK6_SY661 @ SV179 ) )
= $false ) ),
inference(extuni,[status(esa)],[311:[bind(SV262,$thf( sK4_E @ SV179 ))]]) ).
thf(356,plain,
! [SV262: $i,SV261: $i > $i > $o,SV179: $i > $i > $o] :
( ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ SV262 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( sK3_SY652 = sK2_SY650 )
= $false )
| ( ( ( kpair @ SV262 @ ( sK5_E @ SV261 ) )
= ( kpair @ ( sK4_E @ SV179 ) @ ( sK6_SY661 @ SV179 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[311]) ).
thf(357,plain,
! [SV261: $i > $i > $o,SV179: $i > $i > $o] :
( ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ ( kpair @ ( sK4_E @ SV179 ) @ ( sK6_SY661 @ SV179 ) ) ) @ sK2_SY650 )
= $false )
| ( ( in @ ( kpair @ ( kpair @ ( sK4_E @ SV179 ) @ ( sK6_SY661 @ SV179 ) ) @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= $false )
| ( ( sK1_A = sK2_SY650 )
= $false ) ),
inference(extuni,[status(esa)],[310:[bind(SV262,$thf( kpair @ ( sK4_E @ SV179 ) @ ( sK6_SY661 @ SV179 ) ))]]) ).
thf(359,plain,
! [SV261: $i > $i > $o,SV179: $i > $i > $o] :
( ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in @ ( sK6_SY661 @ SV179 ) @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK6_SY661 @ SV179 ) @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= $false )
| ( ( ( sK4_E @ SV261 )
= ( sK4_E @ SV179 ) )
= $false ) ),
inference(extuni,[status(esa)],[309:[bind(SV262,$thf( sK6_SY661 @ SV179 ))]]) ).
thf(360,plain,
! [SV262: $i,SV261: $i > $i > $o,SV179: $i > $i > $o] :
( ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV262 @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= $false )
| ( ( ( kpair @ ( sK4_E @ SV261 ) @ SV262 )
= ( kpair @ ( sK4_E @ SV179 ) @ ( sK6_SY661 @ SV179 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[309]) ).
thf(361,plain,
! [SV262: $i,SV265: $i > $i > $o] :
( ( ( SV265
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 ) ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 ) )
@ SV262 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(362,plain,
! [SV262: $i] :
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV262 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(363,plain,
( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : $true ) )
= $false ),
inference(prim_subst,[status(thm)],[64:[bind(SV6,$thf( ^ [SV430: $i] : ^ [SV431: $i] : $true ))]]) ).
thf(364,plain,
( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : $false ) )
= $false ),
inference(prim_subst,[status(thm)],[64:[bind(SV6,$thf( ^ [SV428: $i] : ^ [SV429: $i] : $false ))]]) ).
thf(365,plain,
! [SV427: $i > $i > $o] :
( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) ) )
= $false ),
inference(prim_subst,[status(thm)],[64:[bind(SV6,$thf( ^ [SV425: $i] : ^ [SV426: $i] : ~ ( SV427 @ SV425 @ SV426 ) ))]]) ).
thf(366,plain,
( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ),
inference(prim_subst,[status(thm)],[64:[bind(SV6,$thf( ^ [SY959: $i] : ^ [SY960: $i] : ( SY959 != SY960 ) ))]]) ).
thf(367,plain,
( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false ),
inference(prim_subst,[status(thm)],[64:[bind(SV6,$thf( ^ [SV433: $i] : ^ [SV432: $i] : ( SV433 = SV432 ) ))]]) ).
thf(369,plain,
( ( ( in
@ ( kpair
@ ( sK9_SY665
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK3_SY652 )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[83:[bind(SV6,$thf( ^ [SV428: $i] : ^ [SV429: $i] : $false ))]]) ).
thf(370,plain,
! [SV427: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK9_SY665
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) )
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $true )
| ( ( ~ ( SV427
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) )
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[83:[bind(SV6,$thf( ^ [SV425: $i] : ^ [SV426: $i] : ~ ( SV427 @ SV425 @ SV426 ) ))]]) ).
thf(372,plain,
( ( ( in
@ ( kpair
@ ( sK9_SY665
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK3_SY652 )
= $true )
| ( ( ( sK7_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK8_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[83:[bind(SV6,$thf( ^ [SV433: $i] : ^ [SV432: $i] : ( SV433 = SV432 ) ))]]) ).
thf(374,plain,
( ( ( in
@ ( sK9_SY665
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK1_A )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[90:[bind(SV6,$thf( ^ [SV428: $i] : ^ [SV429: $i] : $false ))]]) ).
thf(375,plain,
! [SV427: $i > $i > $o] :
( ( ( in
@ ( sK9_SY665
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) )
@ sK1_A )
= $true )
| ( ( ~ ( SV427
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) )
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[90:[bind(SV6,$thf( ^ [SV425: $i] : ^ [SV426: $i] : ~ ( SV427 @ SV425 @ SV426 ) ))]]) ).
thf(377,plain,
( ( ( in
@ ( sK9_SY665
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK1_A )
= $true )
| ( ( ( sK7_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK8_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[90:[bind(SV6,$thf( ^ [SV433: $i] : ^ [SV432: $i] : ( SV433 = SV432 ) ))]]) ).
thf(379,plain,
( ( ( in
@ ( kpair
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK9_SY665
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK2_SY650 )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[91:[bind(SV6,$thf( ^ [SV428: $i] : ^ [SV429: $i] : $false ))]]) ).
thf(380,plain,
! [SV427: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) )
@ ( sK9_SY665
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $true )
| ( ( ~ ( SV427
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) )
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[91:[bind(SV6,$thf( ^ [SV425: $i] : ^ [SV426: $i] : ~ ( SV427 @ SV425 @ SV426 ) ))]]) ).
thf(382,plain,
( ( ( in
@ ( kpair
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK9_SY665
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK2_SY650 )
= $true )
| ( ( ( sK7_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK8_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[91:[bind(SV6,$thf( ^ [SV433: $i] : ^ [SV432: $i] : ( SV433 = SV432 ) ))]]) ).
thf(383,plain,
! [SV7: $i] :
( ( ( in
@ ( kpair @ SV7
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] : $true ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV7 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] : $true )
@ SV7 )
@ sK2_SY650 )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[93:[bind(SV6,$thf( ^ [SV430: $i] : ^ [SV431: $i] : $true ))]]) ).
thf(385,plain,
! [SV427: $i > $i > $o,SV7: $i] :
( ( ( in
@ ( kpair @ SV7
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV7 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) )
@ SV7 )
@ sK2_SY650 )
= $false )
| ( ( ~ ( SV427
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) )
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[93:[bind(SV6,$thf( ^ [SV425: $i] : ^ [SV426: $i] : ~ ( SV427 @ SV425 @ SV426 ) ))]]) ).
thf(386,plain,
! [SV7: $i] :
( ( ( in
@ ( kpair @ SV7
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV7 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV7 )
@ sK2_SY650 )
= $false )
| ( ( ( ( sK7_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= ( sK8_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[93:[bind(SV6,$thf( ^ [SY959: $i] : ^ [SY960: $i] : ( SY959 != SY960 ) ))]]) ).
thf(388,plain,
! [SV9: $i] :
( ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ SV9 @ SV9 ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[94:[bind(SV8,$thf( ^ [SV421: $i] : ^ [SV422: $i] : $true ))]]) ).
thf(389,plain,
! [SV9: $i] :
( ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ SV9 @ SV9 ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : $false ) )
= $false ) ),
inference(prim_subst,[status(thm)],[94:[bind(SV8,$thf( ^ [SV419: $i] : ^ [SV420: $i] : $false ))]]) ).
thf(390,plain,
! [SV418: $i > $i > $o,SV9: $i] :
( ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ SV9 @ SV9 ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[94:[bind(SV8,$thf( ^ [SV416: $i] : ^ [SV417: $i] : ~ ( SV418 @ SV416 @ SV417 ) ))]]) ).
thf(391,plain,
! [SV9: $i] :
( ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ SV9 @ SV9 ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[94:[bind(SV8,$thf( ^ [SY948: $i] : ^ [SY949: $i] : ( SY948 != SY949 ) ))]]) ).
thf(392,plain,
! [SV9: $i] :
( ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ SV9 @ SV9 ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[94:[bind(SV8,$thf( ^ [SV424: $i] : ^ [SV423: $i] : ( SV424 = SV423 ) ))]]) ).
thf(393,plain,
( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : $true ) )
= $false ),
inference(prim_subst,[status(thm)],[112:[bind(SV8,$thf( ^ [SV421: $i] : ^ [SV422: $i] : $true ))]]) ).
thf(394,plain,
( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : $false ) )
= $false ),
inference(prim_subst,[status(thm)],[112:[bind(SV8,$thf( ^ [SV419: $i] : ^ [SV420: $i] : $false ))]]) ).
thf(395,plain,
! [SV418: $i > $i > $o] :
( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false ),
inference(prim_subst,[status(thm)],[112:[bind(SV8,$thf( ^ [SV416: $i] : ^ [SV417: $i] : ~ ( SV418 @ SV416 @ SV417 ) ))]]) ).
thf(396,plain,
( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ),
inference(prim_subst,[status(thm)],[112:[bind(SV8,$thf( ^ [SY948: $i] : ^ [SY949: $i] : ( SY948 != SY949 ) ))]]) ).
thf(397,plain,
( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false ),
inference(prim_subst,[status(thm)],[112:[bind(SV8,$thf( ^ [SV424: $i] : ^ [SV423: $i] : ( SV424 = SV423 ) ))]]) ).
thf(409,plain,
( ( ( in
@ ( kpair
@ ( sK19_SY677
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK3_SY652 )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[182:[bind(SV8,$thf( ^ [SV419: $i] : ^ [SV420: $i] : $false ))]]) ).
thf(410,plain,
! [SV418: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK19_SY677
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $true )
| ( ( ~ ( SV418
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[182:[bind(SV8,$thf( ^ [SV416: $i] : ^ [SV417: $i] : ~ ( SV418 @ SV416 @ SV417 ) ))]]) ).
thf(412,plain,
( ( ( in
@ ( kpair
@ ( sK19_SY677
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK3_SY652 )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK14_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[182:[bind(SV8,$thf( ^ [SV424: $i] : ^ [SV423: $i] : ( SV424 = SV423 ) ))]]) ).
thf(434,plain,
( ( ( in
@ ( sK19_SY677
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK1_A )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[221:[bind(SV8,$thf( ^ [SV419: $i] : ^ [SV420: $i] : $false ))]]) ).
thf(435,plain,
! [SV418: $i > $i > $o] :
( ( ( in
@ ( sK19_SY677
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ sK1_A )
= $true )
| ( ( ~ ( SV418
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[221:[bind(SV8,$thf( ^ [SV416: $i] : ^ [SV417: $i] : ~ ( SV418 @ SV416 @ SV417 ) ))]]) ).
thf(437,plain,
( ( ( in
@ ( sK19_SY677
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK1_A )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK14_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[221:[bind(SV8,$thf( ^ [SV424: $i] : ^ [SV423: $i] : ( SV424 = SV423 ) ))]]) ).
thf(439,plain,
( ( ( in
@ ( kpair
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK19_SY677
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK2_SY650 )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[222:[bind(SV8,$thf( ^ [SV419: $i] : ^ [SV420: $i] : $false ))]]) ).
thf(440,plain,
! [SV418: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK19_SY677
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $true )
| ( ( ~ ( SV418
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[222:[bind(SV8,$thf( ^ [SV416: $i] : ^ [SV417: $i] : ~ ( SV418 @ SV416 @ SV417 ) ))]]) ).
thf(442,plain,
( ( ( in
@ ( kpair
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK19_SY677
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK2_SY650 )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK14_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[222:[bind(SV8,$thf( ^ [SV424: $i] : ^ [SV423: $i] : ( SV424 = SV423 ) ))]]) ).
thf(453,plain,
! [SV14: $i] :
( ( ( in
@ ( kpair @ SV14
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] : $true ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV14 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] : $true )
@ SV14 )
@ sK2_SY650 )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[232:[bind(SV8,$thf( ^ [SV421: $i] : ^ [SV422: $i] : $true ))]]) ).
thf(455,plain,
! [SV418: $i > $i > $o,SV14: $i] :
( ( ( in
@ ( kpair @ SV14
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV14 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ SV14 )
@ sK2_SY650 )
= $false )
| ( ( ~ ( SV418
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[232:[bind(SV8,$thf( ^ [SV416: $i] : ^ [SV417: $i] : ~ ( SV418 @ SV416 @ SV417 ) ))]]) ).
thf(456,plain,
! [SV14: $i] :
( ( ( in
@ ( kpair @ SV14
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV14 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV14 )
@ sK2_SY650 )
= $false )
| ( ( ( ( sK13_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= ( sK14_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[232:[bind(SV8,$thf( ^ [SY948: $i] : ^ [SY949: $i] : ( SY948 != SY949 ) ))]]) ).
thf(458,plain,
! [SV10: $i] :
( ( ( in
@ ( kpair @ SV10
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] : $true ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] : $true )
@ SV10 )
@ sK2_SY650 )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[233:[bind(SV8,$thf( ^ [SV421: $i] : ^ [SV422: $i] : $true ))]]) ).
thf(460,plain,
! [SV418: $i > $i > $o,SV10: $i] :
( ( ( in
@ ( kpair @ SV10
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ SV10 )
@ sK2_SY650 )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[233:[bind(SV8,$thf( ^ [SV416: $i] : ^ [SV417: $i] : ~ ( SV418 @ SV416 @ SV417 ) ))]]) ).
thf(461,plain,
! [SV10: $i] :
( ( ( in
@ ( kpair @ SV10
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV10 )
@ sK2_SY650 )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false )
| ( ( ( ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[233:[bind(SV8,$thf( ^ [SY948: $i] : ^ [SY949: $i] : ( SY948 != SY949 ) ))]]) ).
thf(464,plain,
( ( ( in
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK1_A )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : $false ) )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[234:[bind(SV8,$thf( ^ [SV419: $i] : ^ [SV420: $i] : $false ))]]) ).
thf(465,plain,
! [SV418: $i > $i > $o] :
( ( ( in
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ sK1_A )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[234:[bind(SV8,$thf( ^ [SV416: $i] : ^ [SV417: $i] : ~ ( SV418 @ SV416 @ SV417 ) ))]]) ).
thf(467,plain,
( ( ( in
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK1_A )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[234:[bind(SV8,$thf( ^ [SV424: $i] : ^ [SV423: $i] : ( SV424 = SV423 ) ))]]) ).
thf(469,plain,
( ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK2_SY650 )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : $false ) )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[235:[bind(SV8,$thf( ^ [SV419: $i] : ^ [SV420: $i] : $false ))]]) ).
thf(470,plain,
! [SV418: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[235:[bind(SV8,$thf( ^ [SV416: $i] : ^ [SV417: $i] : ~ ( SV418 @ SV416 @ SV417 ) ))]]) ).
thf(472,plain,
( ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK2_SY650 )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[235:[bind(SV8,$thf( ^ [SV424: $i] : ^ [SV423: $i] : ( SV424 = SV423 ) ))]]) ).
thf(474,plain,
( ( ( in
@ ( kpair
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK3_SY652 )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : $false ) )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[236:[bind(SV8,$thf( ^ [SV419: $i] : ^ [SV420: $i] : $false ))]]) ).
thf(475,plain,
! [SV418: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[236:[bind(SV8,$thf( ^ [SV416: $i] : ^ [SV417: $i] : ~ ( SV418 @ SV416 @ SV417 ) ))]]) ).
thf(477,plain,
( ( ( in
@ ( kpair
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK3_SY652 )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[236:[bind(SV8,$thf( ^ [SV424: $i] : ^ [SV423: $i] : ( SV424 = SV423 ) ))]]) ).
thf(479,plain,
( ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK3_SY652 )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV15,$thf( ^ [SV410: $i] : ^ [SV411: $i] : $false ))]]) ).
thf(480,plain,
! [SV409: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $true )
| ( ( ~ ( SV409
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV15,$thf( ^ [SV407: $i] : ^ [SV408: $i] : ~ ( SV409 @ SV407 @ SV408 ) ))]]) ).
thf(482,plain,
( ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK3_SY652 )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[237:[bind(SV15,$thf( ^ [SV415: $i] : ^ [SV414: $i] : ( SV415 = SV414 ) ))]]) ).
thf(483,plain,
( ( $true = $false )
| ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ~ $true )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ~ $true ) )
@ sK3_SY652 )
= $true ) ),
inference(prim_subst,[status(thm)],[257:[bind(SV18,$thf( ^ [SV403: $i] : ^ [SV404: $i] : $true ))]]) ).
thf(485,plain,
! [SV400: $i > $i > $o] :
( ( ( ~ ( SV400
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV400 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV400 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV400 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV400 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $true ) ),
inference(prim_subst,[status(thm)],[257:[bind(SV18,$thf( ^ [SV398: $i] : ^ [SV399: $i] : ~ ( SV400 @ SV398 @ SV399 ) ))]]) ).
thf(486,plain,
( ( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) ) )
@ sK3_SY652 )
= $true ) ),
inference(prim_subst,[status(thm)],[257:[bind(SV18,$thf( ^ [SY926: $i] : ^ [SY927: $i] : ( SY926 != SY927 ) ))]]) ).
thf(489,plain,
( ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK1_A )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[259:[bind(SV97,$thf( ^ [SV392: $i] : ^ [SV393: $i] : $false ))]]) ).
thf(490,plain,
! [SV391: $i > $i > $o] :
( ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV391 @ SX0 @ SX1 ) )
@ sK1_A )
= $true )
| ( ( ~ ( SV391
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV391 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV391 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[259:[bind(SV97,$thf( ^ [SV389: $i] : ^ [SV390: $i] : ~ ( SV391 @ SV389 @ SV390 ) ))]]) ).
thf(492,plain,
( ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK1_A )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[259:[bind(SV97,$thf( ^ [SV397: $i] : ^ [SV396: $i] : ( SV397 = SV396 ) ))]]) ).
thf(493,plain,
( ( $true = $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ~ $true )
@ sK1_A )
= $true ) ),
inference(prim_subst,[status(thm)],[279:[bind(SV100,$thf( ^ [SV385: $i] : ^ [SV386: $i] : $true ))]]) ).
thf(495,plain,
! [SV382: $i > $i > $o] :
( ( ( ~ ( SV382
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) )
@ sK1_A )
= $true ) ),
inference(prim_subst,[status(thm)],[279:[bind(SV100,$thf( ^ [SV380: $i] : ^ [SV381: $i] : ~ ( SV382 @ SV380 @ SV381 ) ))]]) ).
thf(496,plain,
( ( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) ) ) )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) )
@ sK1_A )
= $true ) ),
inference(prim_subst,[status(thm)],[279:[bind(SV100,$thf( ^ [SY904: $i] : ^ [SY905: $i] : ( SY904 != SY905 ) ))]]) ).
thf(499,plain,
( ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK2_SY650 )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[281:[bind(SV179,$thf( ^ [SV374: $i] : ^ [SV375: $i] : $false ))]]) ).
thf(500,plain,
! [SV373: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $true )
| ( ( ~ ( SV373
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[281:[bind(SV179,$thf( ^ [SV371: $i] : ^ [SV372: $i] : ~ ( SV373 @ SV371 @ SV372 ) ))]]) ).
thf(502,plain,
( ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK2_SY650 )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[281:[bind(SV179,$thf( ^ [SV379: $i] : ^ [SV378: $i] : ( SV379 = SV378 ) ))]]) ).
thf(503,plain,
( ( $true = $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ~ $true )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ~ $true ) )
@ sK2_SY650 )
= $true ) ),
inference(prim_subst,[status(thm)],[301:[bind(SV182,$thf( ^ [SV367: $i] : ^ [SV368: $i] : $true ))]]) ).
thf(505,plain,
! [SV364: $i > $i > $o] :
( ( ( ~ ( SV364
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV364 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV364 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV364 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV364 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $true ) ),
inference(prim_subst,[status(thm)],[301:[bind(SV182,$thf( ^ [SV362: $i] : ^ [SV363: $i] : ~ ( SV364 @ SV362 @ SV363 ) ))]]) ).
thf(506,plain,
( ( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) ) )
@ sK2_SY650 )
= $true ) ),
inference(prim_subst,[status(thm)],[301:[bind(SV182,$thf( ^ [SY882: $i] : ^ [SY883: $i] : ( SY882 != SY883 ) ))]]) ).
thf(508,plain,
! [SV262: $i] :
( ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : $true ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : $true )
@ SV262 )
@ sK2_SY650 )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[303:[bind(SV261,$thf( ^ [SV358: $i] : ^ [SV359: $i] : $true ))]]) ).
thf(510,plain,
! [SV355: $i > $i > $o,SV262: $i] :
( ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ SV262 )
@ sK2_SY650 )
= $false )
| ( ( ~ ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[303:[bind(SV261,$thf( ^ [SV353: $i] : ^ [SV354: $i] : ~ ( SV355 @ SV353 @ SV354 ) ))]]) ).
thf(511,plain,
! [SV262: $i] :
( ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV262 )
@ sK2_SY650 )
= $false )
| ( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[303:[bind(SV261,$thf( ^ [SY871: $i] : ^ [SY872: $i] : ( SY871 != SY872 ) ))]]) ).
thf(515,plain,
! [SV355: $i > $i > $o,SV15: $i > $i > $o] :
( ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true )
| ( ( ~ ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK6_SY661 @ SV15 ) )
@ sK2_SY650 )
= $false )
| ( ( in @ ( sK6_SY661 @ SV15 ) @ sK1_A )
= $false )
| ( ( ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
= ( sK5_E @ SV15 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[347:[bind(SV261,$thf( ^ [SV353: $i] : ^ [SV354: $i] : ~ ( SV355 @ SV353 @ SV354 ) ))]]) ).
thf(516,plain,
! [SV15: $i > $i > $o] :
( ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true )
| ( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ ( sK6_SY661 @ SV15 ) )
@ sK2_SY650 )
= $false )
| ( ( in @ ( sK6_SY661 @ SV15 ) @ sK1_A )
= $false )
| ( ( ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK5_E @ SV15 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[347:[bind(SV261,$thf( ^ [SY871: $i] : ^ [SY872: $i] : ( SY871 != SY872 ) ))]]) ).
thf(520,plain,
! [SV261: $i > $i > $o,SV409: $i > $i > $o] :
( ( ( ~ ( SV409
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in
@ ( kpair @ ( sK4_E @ SV261 )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ sK1_A )
= $false )
| ( ( ( sK5_E @ SV261 )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[347:[bind(SV15,$thf( ^ [SV407: $i] : ^ [SV408: $i] : ~ ( SV409 @ SV407 @ SV408 ) ))]]) ).
thf(523,plain,
! [SV262: $i,SV15: $i > $i > $o] :
( ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true )
| ( $true = $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : $true )
@ SV262 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : $true ) )
= ( kpair @ ( sK6_SY661 @ SV15 ) @ ( sK5_E @ SV15 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[348:[bind(SV261,$thf( ^ [SV358: $i] : ^ [SV359: $i] : $true ))]]) ).
thf(525,plain,
! [SV262: $i,SV355: $i > $i > $o,SV15: $i > $i > $o] :
( ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true )
| ( ( ~ ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ SV262 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
= ( kpair @ ( sK6_SY661 @ SV15 ) @ ( sK5_E @ SV15 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[348:[bind(SV261,$thf( ^ [SV353: $i] : ^ [SV354: $i] : ~ ( SV355 @ SV353 @ SV354 ) ))]]) ).
thf(526,plain,
! [SV262: $i,SV15: $i > $i > $o] :
( ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true )
| ( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV262 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= ( kpair @ ( sK6_SY661 @ SV15 ) @ ( sK5_E @ SV15 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[348:[bind(SV261,$thf( ^ [SY871: $i] : ^ [SY872: $i] : ( SY871 != SY872 ) ))]]) ).
thf(529,plain,
! [SV262: $i,SV261: $i > $i > $o] :
( ( $false = $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ SV262 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( ( kpair @ SV262 @ ( sK5_E @ SV261 ) )
= ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : $false ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[348:[bind(SV15,$thf( ^ [SV410: $i] : ^ [SV411: $i] : $false ))]]) ).
thf(530,plain,
! [SV262: $i,SV261: $i > $i > $o,SV409: $i > $i > $o] :
( ( ( ~ ( SV409
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ SV262 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( ( kpair @ SV262 @ ( sK5_E @ SV261 ) )
= ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[348:[bind(SV15,$thf( ^ [SV407: $i] : ^ [SV408: $i] : ~ ( SV409 @ SV407 @ SV408 ) ))]]) ).
thf(532,plain,
! [SV262: $i,SV261: $i > $i > $o] :
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ SV262 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( ( kpair @ SV262 @ ( sK5_E @ SV261 ) )
= ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[348:[bind(SV15,$thf( ^ [SV415: $i] : ^ [SV414: $i] : ( SV415 = SV414 ) ))]]) ).
thf(573,plain,
! [SV97: $i > $i > $o] :
( ( ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) )
= $true )
| ( $true = $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : $true )
@ ( sK6_SY661 @ SV97 ) )
@ sK2_SY650 )
= $false )
| ( ( in
@ ( kpair @ ( sK6_SY661 @ SV97 )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : $true ) )
@ sK3_SY652 )
= $false ) ),
inference(prim_subst,[status(thm)],[353:[bind(SV261,$thf( ^ [SV358: $i] : ^ [SV359: $i] : $true ))]]) ).
thf(575,plain,
! [SV355: $i > $i > $o,SV97: $i > $i > $o] :
( ( ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) )
= $true )
| ( ( ~ ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK6_SY661 @ SV97 ) )
@ sK2_SY650 )
= $false )
| ( ( in
@ ( kpair @ ( sK6_SY661 @ SV97 )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false ) ),
inference(prim_subst,[status(thm)],[353:[bind(SV261,$thf( ^ [SV353: $i] : ^ [SV354: $i] : ~ ( SV355 @ SV353 @ SV354 ) ))]]) ).
thf(576,plain,
! [SV97: $i > $i > $o] :
( ( ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) )
= $true )
| ( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ ( sK6_SY661 @ SV97 ) )
@ sK2_SY650 )
= $false )
| ( ( in
@ ( kpair @ ( sK6_SY661 @ SV97 )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false ) ),
inference(prim_subst,[status(thm)],[353:[bind(SV261,$thf( ^ [SY871: $i] : ^ [SY872: $i] : ( SY871 != SY872 ) ))]]) ).
thf(579,plain,
! [SV261: $i > $i > $o] :
( ( $false = $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in
@ ( kpair @ ( sK4_E @ SV261 )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK2_SY650 )
= $false )
| ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK5_E @ SV261 ) )
@ sK3_SY652 )
= $false ) ),
inference(prim_subst,[status(thm)],[353:[bind(SV97,$thf( ^ [SV392: $i] : ^ [SV393: $i] : $false ))]]) ).
thf(580,plain,
! [SV261: $i > $i > $o,SV391: $i > $i > $o] :
( ( ( ~ ( SV391
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV391 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV391 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in
@ ( kpair @ ( sK4_E @ SV261 )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV391 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $false )
| ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV391 @ SX0 @ SX1 ) )
@ ( sK5_E @ SV261 ) )
@ sK3_SY652 )
= $false ) ),
inference(prim_subst,[status(thm)],[353:[bind(SV97,$thf( ^ [SV389: $i] : ^ [SV390: $i] : ~ ( SV391 @ SV389 @ SV390 ) ))]]) ).
thf(582,plain,
! [SV261: $i > $i > $o] :
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in
@ ( kpair @ ( sK4_E @ SV261 )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK2_SY650 )
= $false )
| ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK5_E @ SV261 ) )
@ sK3_SY652 )
= $false ) ),
inference(prim_subst,[status(thm)],[353:[bind(SV97,$thf( ^ [SV397: $i] : ^ [SV396: $i] : ( SV397 = SV396 ) ))]]) ).
thf(625,plain,
! [SV355: $i > $i > $o,SV179: $i > $i > $o] :
( ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true )
| ( ( ~ ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( in @ ( sK6_SY661 @ SV179 ) @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ ( sK6_SY661 @ SV179 )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
= ( sK4_E @ SV179 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[359:[bind(SV261,$thf( ^ [SV353: $i] : ^ [SV354: $i] : ~ ( SV355 @ SV353 @ SV354 ) ))]]) ).
thf(626,plain,
! [SV179: $i > $i > $o] :
( ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true )
| ( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
= $false )
| ( ( in @ ( sK6_SY661 @ SV179 ) @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ ( sK6_SY661 @ SV179 )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK4_E @ SV179 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[359:[bind(SV261,$thf( ^ [SY871: $i] : ^ [SY872: $i] : ( SY871 != SY872 ) ))]]) ).
thf(630,plain,
! [SV261: $i > $i > $o,SV373: $i > $i > $o] :
( ( ( ~ ( SV373
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ ( sK5_E @ SV261 ) )
@ sK3_SY652 )
= $false )
| ( ( ( sK4_E @ SV261 )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[359:[bind(SV179,$thf( ^ [SV371: $i] : ^ [SV372: $i] : ~ ( SV373 @ SV371 @ SV372 ) ))]]) ).
thf(633,plain,
! [SV262: $i,SV179: $i > $i > $o] :
( ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true )
| ( $true = $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : $true ) )
@ sK3_SY652 )
= $false )
| ( ( ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : $true )
@ SV262 )
= ( kpair @ ( sK4_E @ SV179 ) @ ( sK6_SY661 @ SV179 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[360:[bind(SV261,$thf( ^ [SV358: $i] : ^ [SV359: $i] : $true ))]]) ).
thf(635,plain,
! [SV262: $i,SV355: $i > $i > $o,SV179: $i > $i > $o] :
( ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true )
| ( ( ~ ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ SV262 )
= ( kpair @ ( sK4_E @ SV179 ) @ ( sK6_SY661 @ SV179 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[360:[bind(SV261,$thf( ^ [SV353: $i] : ^ [SV354: $i] : ~ ( SV355 @ SV353 @ SV354 ) ))]]) ).
thf(636,plain,
! [SV262: $i,SV179: $i > $i > $o] :
( ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true )
| ( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV262 )
= ( kpair @ ( sK4_E @ SV179 ) @ ( sK6_SY661 @ SV179 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[360:[bind(SV261,$thf( ^ [SY871: $i] : ^ [SY872: $i] : ( SY871 != SY872 ) ))]]) ).
thf(639,plain,
! [SV262: $i,SV261: $i > $i > $o] :
( ( $false = $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV262 @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= $false )
| ( ( ( kpair @ ( sK4_E @ SV261 ) @ SV262 )
= ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[360:[bind(SV179,$thf( ^ [SV374: $i] : ^ [SV375: $i] : $false ))]]) ).
thf(640,plain,
! [SV262: $i,SV261: $i > $i > $o,SV373: $i > $i > $o] :
( ( ( ~ ( SV373
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV262 @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= $false )
| ( ( ( kpair @ ( sK4_E @ SV261 ) @ SV262 )
= ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[360:[bind(SV179,$thf( ^ [SV371: $i] : ^ [SV372: $i] : ~ ( SV373 @ SV371 @ SV372 ) ))]]) ).
thf(642,plain,
! [SV262: $i,SV261: $i > $i > $o] :
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV262 @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= $false )
| ( ( ( kpair @ ( sK4_E @ SV261 ) @ SV262 )
= ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[360:[bind(SV179,$thf( ^ [SV379: $i] : ^ [SV378: $i] : ( SV379 = SV378 ) ))]]) ).
thf(644,plain,
! [SV262: $i] :
( ( $false = $true )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ~ $false )
@ SV262 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ~ $false ) )
@ sK3_SY652 )
= $false ) ),
inference(prim_subst,[status(thm)],[361:[bind(SV265,$thf( ^ [SV347: $i] : ^ [SV348: $i] : $false ))]]) ).
thf(645,plain,
! [SV262: $i,SV346: $i > $i > $o] :
( ( ( ~ ( SV346
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV346 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV346 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV346 @ SX0 @ SX1 ) )
@ SV262 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV346 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false ) ),
inference(prim_subst,[status(thm)],[361:[bind(SV265,$thf( ^ [SV344: $i] : ^ [SV345: $i] : ~ ( SV346 @ SV344 @ SV345 ) ))]]) ).
thf(647,plain,
! [SV262: $i] :
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV262 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false ) ),
inference(prim_subst,[status(thm)],[361:[bind(SV265,$thf( ^ [SV352: $i] : ^ [SV351: $i] : ( SV352 = SV351 ) ))]]) ).
thf(648,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true )
| ( ( ( in @ ( kpair @ ( sK9_SY665 @ SV6 ) @ ( sK8_E @ SV6 ) ) @ sK3_SY652 )
= ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[83]) ).
thf(649,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true )
| ( ( ( in @ ( sK9_SY665 @ SV6 ) @ sK1_A )
= ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[90]) ).
thf(650,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true )
| ( ( ( in @ ( kpair @ ( sK7_E @ SV6 ) @ ( sK9_SY665 @ SV6 ) ) @ sK2_SY650 )
= ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[91]) ).
thf(651,plain,
! [SV8: $i > $i > $o,SV9: $i] :
( ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ SV9 @ SV9 ) )
= ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[94]) ).
thf(652,plain,
! [SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true )
| ( ( ( in @ ( kpair @ ( sK19_SY677 @ SV8 ) @ ( sK14_E @ SV8 ) ) @ sK3_SY652 )
= ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[182]) ).
thf(653,plain,
! [SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true )
| ( ( ( in @ ( sK19_SY677 @ SV8 ) @ sK1_A )
= ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[221]) ).
thf(654,plain,
! [SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true )
| ( ( ( in @ ( kpair @ ( sK13_E @ SV8 ) @ ( sK19_SY677 @ SV8 ) ) @ sK2_SY650 )
= ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[222]) ).
thf(655,plain,
! [SV15: $i > $i > $o] :
( ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true )
| ( ( ( in @ ( kpair @ ( sK6_SY661 @ SV15 ) @ ( sK5_E @ SV15 ) ) @ sK3_SY652 )
= ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[237]) ).
thf(656,plain,
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK3_SY652 )
= ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[255]) ).
thf(657,plain,
! [SV18: $i > $i > $o] :
( ( ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
= ( ~ ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
@ sK3_SY652 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[257]) ).
thf(658,plain,
! [SV97: $i > $i > $o] :
( ( ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) )
= $true )
| ( ( ( in @ ( sK6_SY661 @ SV97 ) @ sK1_A )
= ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[259]) ).
thf(659,plain,
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK1_A )
= ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[277]) ).
thf(660,plain,
! [SV100: $i > $i > $o] :
( ( ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) )
= ( ~ ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ sK1_A ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[279]) ).
thf(661,plain,
! [SV179: $i > $i > $o] :
( ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true )
| ( ( ( in @ ( kpair @ ( sK4_E @ SV179 ) @ ( sK6_SY661 @ SV179 ) ) @ sK2_SY650 )
= ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[281]) ).
thf(662,plain,
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK2_SY650 )
= ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[299]) ).
thf(663,plain,
! [SV182: $i > $i > $o] :
( ( ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
= ( ~ ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
@ sK2_SY650 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[301]) ).
thf(664,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( in @ ( kpair @ ( sK9_SY665 @ SV6 ) @ ( sK8_E @ SV6 ) ) @ sK3_SY652 )
| ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) ) )
| ~ ( ~ ( in @ ( kpair @ ( sK9_SY665 @ SV6 ) @ ( sK8_E @ SV6 ) ) @ sK3_SY652 )
| ~ ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) ) ) )
= $false )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[648]) ).
thf(666,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( in @ ( sK9_SY665 @ SV6 ) @ sK1_A )
| ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) ) )
| ~ ( ~ ( in @ ( sK9_SY665 @ SV6 ) @ sK1_A )
| ~ ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) ) ) )
= $false )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[649]) ).
thf(668,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( in @ ( kpair @ ( sK7_E @ SV6 ) @ ( sK9_SY665 @ SV6 ) ) @ sK2_SY650 )
| ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) ) )
| ~ ( ~ ( in @ ( kpair @ ( sK7_E @ SV6 ) @ ( sK9_SY665 @ SV6 ) ) @ sK2_SY650 )
| ~ ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) ) ) )
= $false )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[650]) ).
thf(670,plain,
! [SV8: $i > $i > $o,SV9: $i] :
( ( ( ~ ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ SV9 @ SV9 ) )
| ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) ) )
| ~ ( ( ( cartprod @ sK1_A @ sK1_A )
!= ( cartprod @ SV9 @ SV9 ) )
| ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
!= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[651]) ).
thf(671,plain,
! [SV8: $i > $i > $o,SV9: $i] :
( ( ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ SV9 @ SV9 ) )
= ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[651]) ).
thf(672,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ( in @ ( kpair @ ( sK19_SY677 @ SV8 ) @ ( sK14_E @ SV8 ) ) @ sK3_SY652 )
| ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) ) )
| ~ ( ~ ( in @ ( kpair @ ( sK19_SY677 @ SV8 ) @ ( sK14_E @ SV8 ) ) @ sK3_SY652 )
| ~ ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) ) ) )
= $false )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[652]) ).
thf(674,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ( in @ ( sK19_SY677 @ SV8 ) @ sK1_A )
| ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) ) )
| ~ ( ~ ( in @ ( sK19_SY677 @ SV8 ) @ sK1_A )
| ~ ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) ) ) )
= $false )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[653]) ).
thf(676,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ( in @ ( kpair @ ( sK13_E @ SV8 ) @ ( sK19_SY677 @ SV8 ) ) @ sK2_SY650 )
| ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) ) )
| ~ ( ~ ( in @ ( kpair @ ( sK13_E @ SV8 ) @ ( sK19_SY677 @ SV8 ) ) @ sK2_SY650 )
| ~ ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) ) ) )
= $false )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[654]) ).
thf(678,plain,
! [SV15: $i > $i > $o] :
( ( ( ~ ( ( in @ ( kpair @ ( sK6_SY661 @ SV15 ) @ ( sK5_E @ SV15 ) ) @ sK3_SY652 )
| ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) ) )
| ~ ( ~ ( in @ ( kpair @ ( sK6_SY661 @ SV15 ) @ ( sK5_E @ SV15 ) ) @ sK3_SY652 )
| ~ ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) ) ) )
= $false )
| ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[655]) ).
thf(680,plain,
( ( ( ~ ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK3_SY652 )
| ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) ) )
| ~ ( ~ ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK3_SY652 )
| ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[656]) ).
thf(682,plain,
! [SV18: $i > $i > $o] :
( ( ( ~ ( ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
| ~ ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
@ sK3_SY652 ) )
| ~ ( ~ ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
| ~ ~ ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
@ sK3_SY652 ) ) )
= $false )
| ( ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[657]) ).
thf(683,plain,
! [SV18: $i > $i > $o] :
( ( ( ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
= ( ~ ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
@ sK3_SY652 ) ) )
= $false )
| ( ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[657]) ).
thf(684,plain,
! [SV97: $i > $i > $o] :
( ( ( ~ ( ( in @ ( sK6_SY661 @ SV97 ) @ sK1_A )
| ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) ) )
| ~ ( ~ ( in @ ( sK6_SY661 @ SV97 ) @ sK1_A )
| ~ ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) ) ) )
= $false )
| ( ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[658]) ).
thf(686,plain,
( ( ( ~ ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK1_A )
| ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) ) )
| ~ ( ~ ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK1_A )
| ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[659]) ).
thf(688,plain,
! [SV100: $i > $i > $o] :
( ( ( ~ ( ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) )
| ~ ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ sK1_A ) )
| ~ ( ~ ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) )
| ~ ~ ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ sK1_A ) ) )
= $false )
| ( ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[660]) ).
thf(689,plain,
! [SV100: $i > $i > $o] :
( ( ( ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) )
= ( ~ ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ sK1_A ) ) )
= $false )
| ( ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[660]) ).
thf(690,plain,
! [SV179: $i > $i > $o] :
( ( ( ~ ( ( in @ ( kpair @ ( sK4_E @ SV179 ) @ ( sK6_SY661 @ SV179 ) ) @ sK2_SY650 )
| ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) ) )
| ~ ( ~ ( in @ ( kpair @ ( sK4_E @ SV179 ) @ ( sK6_SY661 @ SV179 ) ) @ sK2_SY650 )
| ~ ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) ) ) )
= $false )
| ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[661]) ).
thf(692,plain,
( ( ( ~ ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK2_SY650 )
| ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) ) )
| ~ ( ~ ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK2_SY650 )
| ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[662]) ).
thf(694,plain,
! [SV182: $i > $i > $o] :
( ( ( ~ ( ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
| ~ ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
@ sK2_SY650 ) )
| ~ ( ~ ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
| ~ ~ ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
@ sK2_SY650 ) ) )
= $false )
| ( ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[663]) ).
thf(695,plain,
! [SV182: $i > $i > $o] :
( ( ( ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
= ( ~ ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
@ sK2_SY650 ) ) )
= $false )
| ( ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[663]) ).
thf(696,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( in @ ( kpair @ ( sK9_SY665 @ SV6 ) @ ( sK8_E @ SV6 ) ) @ sK3_SY652 )
| ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) ) ) )
= $false )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(698,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( in @ ( sK9_SY665 @ SV6 ) @ sK1_A )
| ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) ) ) )
= $false )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(700,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( in @ ( kpair @ ( sK7_E @ SV6 ) @ ( sK9_SY665 @ SV6 ) ) @ sK2_SY650 )
| ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) ) ) )
= $false )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[668]) ).
thf(703,plain,
! [SV8: $i > $i > $o,SV9: $i] :
( ( ( ~ ( ( ( cartprod @ sK1_A @ sK1_A )
!= ( cartprod @ SV9 @ SV9 ) )
| ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
!= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[670]) ).
thf(704,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ( in @ ( kpair @ ( sK19_SY677 @ SV8 ) @ ( sK14_E @ SV8 ) ) @ sK3_SY652 )
| ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) ) ) )
= $false )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(706,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ( in @ ( sK19_SY677 @ SV8 ) @ sK1_A )
| ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) ) ) )
= $false )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[674]) ).
thf(708,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ( in @ ( kpair @ ( sK13_E @ SV8 ) @ ( sK19_SY677 @ SV8 ) ) @ sK2_SY650 )
| ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) ) ) )
= $false )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[676]) ).
thf(710,plain,
! [SV15: $i > $i > $o] :
( ( ( ~ ( ( in @ ( kpair @ ( sK6_SY661 @ SV15 ) @ ( sK5_E @ SV15 ) ) @ sK3_SY652 )
| ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) ) ) )
= $false )
| ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[678]) ).
thf(712,plain,
( ( ( ~ ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK3_SY652 )
| ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(715,plain,
! [SV18: $i > $i > $o] :
( ( ( ~ ( ~ ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
| ~ ~ ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
@ sK3_SY652 ) ) )
= $false )
| ( ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[682]) ).
thf(716,plain,
! [SV97: $i > $i > $o] :
( ( ( ~ ( ( in @ ( sK6_SY661 @ SV97 ) @ sK1_A )
| ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) ) ) )
= $false )
| ( ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[684]) ).
thf(718,plain,
( ( ( ~ ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK1_A )
| ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[686]) ).
thf(721,plain,
! [SV100: $i > $i > $o] :
( ( ( ~ ( ~ ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) )
| ~ ~ ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ sK1_A ) ) )
= $false )
| ( ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[688]) ).
thf(722,plain,
! [SV179: $i > $i > $o] :
( ( ( ~ ( ( in @ ( kpair @ ( sK4_E @ SV179 ) @ ( sK6_SY661 @ SV179 ) ) @ sK2_SY650 )
| ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) ) ) )
= $false )
| ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[690]) ).
thf(724,plain,
( ( ( ~ ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK2_SY650 )
| ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[692]) ).
thf(727,plain,
! [SV182: $i > $i > $o] :
( ( ( ~ ( ~ ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
| ~ ~ ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
@ sK2_SY650 ) ) )
= $false )
| ( ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[694]) ).
thf(728,plain,
! [SV6: $i > $i > $o] :
( ( ( ( in @ ( kpair @ ( sK9_SY665 @ SV6 ) @ ( sK8_E @ SV6 ) ) @ sK3_SY652 )
| ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) ) )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[696]) ).
thf(730,plain,
! [SV6: $i > $i > $o] :
( ( ( ( in @ ( sK9_SY665 @ SV6 ) @ sK1_A )
| ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) ) )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[698]) ).
thf(732,plain,
! [SV6: $i > $i > $o] :
( ( ( ( in @ ( kpair @ ( sK7_E @ SV6 ) @ ( sK9_SY665 @ SV6 ) ) @ sK2_SY650 )
| ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) ) )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[700]) ).
thf(735,plain,
! [SV8: $i > $i > $o,SV9: $i] :
( ( ( ( ( cartprod @ sK1_A @ sK1_A )
!= ( cartprod @ SV9 @ SV9 ) )
| ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
!= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[703]) ).
thf(736,plain,
! [SV8: $i > $i > $o] :
( ( ( ( in @ ( kpair @ ( sK19_SY677 @ SV8 ) @ ( sK14_E @ SV8 ) ) @ sK3_SY652 )
| ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) ) )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[704]) ).
thf(738,plain,
! [SV8: $i > $i > $o] :
( ( ( ( in @ ( sK19_SY677 @ SV8 ) @ sK1_A )
| ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) ) )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[706]) ).
thf(740,plain,
! [SV8: $i > $i > $o] :
( ( ( ( in @ ( kpair @ ( sK13_E @ SV8 ) @ ( sK19_SY677 @ SV8 ) ) @ sK2_SY650 )
| ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) ) )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[708]) ).
thf(742,plain,
! [SV15: $i > $i > $o] :
( ( ( ( in @ ( kpair @ ( sK6_SY661 @ SV15 ) @ ( sK5_E @ SV15 ) ) @ sK3_SY652 )
| ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) ) )
= $true )
| ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[710]) ).
thf(744,plain,
( ( ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK3_SY652 )
| ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) ) )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[712]) ).
thf(747,plain,
! [SV18: $i > $i > $o] :
( ( ( ~ ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
| ~ ~ ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
@ sK3_SY652 ) )
= $true )
| ( ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[715]) ).
thf(748,plain,
! [SV97: $i > $i > $o] :
( ( ( ( in @ ( sK6_SY661 @ SV97 ) @ sK1_A )
| ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) ) )
= $true )
| ( ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[716]) ).
thf(750,plain,
( ( ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK1_A )
| ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) ) )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[718]) ).
thf(753,plain,
! [SV100: $i > $i > $o] :
( ( ( ~ ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) )
| ~ ~ ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ sK1_A ) )
= $true )
| ( ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[721]) ).
thf(754,plain,
! [SV179: $i > $i > $o] :
( ( ( ( in @ ( kpair @ ( sK4_E @ SV179 ) @ ( sK6_SY661 @ SV179 ) ) @ sK2_SY650 )
| ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) ) )
= $true )
| ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[722]) ).
thf(756,plain,
( ( ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK2_SY650 )
| ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) ) )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[724]) ).
thf(759,plain,
! [SV182: $i > $i > $o] :
( ( ( ~ ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
| ~ ~ ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
@ sK2_SY650 ) )
= $true )
| ( ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[727]) ).
thf(760,plain,
! [SV6: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK9_SY665 @ SV6 ) @ ( sK8_E @ SV6 ) ) @ sK3_SY652 )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[728]) ).
thf(762,plain,
! [SV6: $i > $i > $o] :
( ( ( in @ ( sK9_SY665 @ SV6 ) @ sK1_A )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[730]) ).
thf(764,plain,
! [SV6: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK7_E @ SV6 ) @ ( sK9_SY665 @ SV6 ) ) @ sK2_SY650 )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[732]) ).
thf(767,plain,
! [SV8: $i > $i > $o,SV9: $i] :
( ( ( ( ( cartprod @ sK1_A @ sK1_A )
!= ( cartprod @ SV9 @ SV9 ) ) )
= $true )
| ( ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
!= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[735]) ).
thf(768,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK19_SY677 @ SV8 ) @ ( sK14_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[736]) ).
thf(770,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( sK19_SY677 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[738]) ).
thf(772,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK13_E @ SV8 ) @ ( sK19_SY677 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[740]) ).
thf(774,plain,
! [SV15: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK6_SY661 @ SV15 ) @ ( sK5_E @ SV15 ) ) @ sK3_SY652 )
= $true )
| ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true )
| ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[742]) ).
thf(776,plain,
( ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK3_SY652 )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[744]) ).
thf(779,plain,
! [SV18: $i > $i > $o] :
( ( ( ~ ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
@ sK3_SY652 ) )
= $true )
| ( ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[747]) ).
thf(780,plain,
! [SV97: $i > $i > $o] :
( ( ( in @ ( sK6_SY661 @ SV97 ) @ sK1_A )
= $true )
| ( ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) )
= $true )
| ( ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(782,plain,
( ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK1_A )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[750]) ).
thf(785,plain,
! [SV100: $i > $i > $o] :
( ( ( ~ ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ sK1_A ) )
= $true )
| ( ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[753]) ).
thf(786,plain,
! [SV179: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK4_E @ SV179 ) @ ( sK6_SY661 @ SV179 ) ) @ sK2_SY650 )
= $true )
| ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true )
| ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[754]) ).
thf(788,plain,
( ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK2_SY650 )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[756]) ).
thf(791,plain,
! [SV182: $i > $i > $o] :
( ( ( ~ ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
@ sK2_SY650 ) )
= $true )
| ( ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[759]) ).
thf(795,plain,
! [SV8: $i > $i > $o,SV9: $i] :
( ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ SV9 @ SV9 ) )
= $false )
| ( ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
!= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(802,plain,
! [SV18: $i > $i > $o] :
( ( ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ~ ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
@ sK3_SY652 ) )
= $true )
| ( ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(806,plain,
! [SV100: $i > $i > $o] :
( ( ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ~ ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ sK1_A ) )
= $true )
| ( ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(810,plain,
! [SV182: $i > $i > $o] :
( ( ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ~ ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
@ sK2_SY650 ) )
= $true )
| ( ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(814,plain,
! [SV8: $i > $i > $o,SV9: $i] :
( ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( cartprod @ SV9 @ SV9 ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ SV9 @ SV9
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[795]) ).
thf(820,plain,
! [SV18: $i > $i > $o] :
( ( ( ~ ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
@ sK3_SY652 ) )
= $false )
| ( ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(823,plain,
! [SV100: $i > $i > $o] :
( ( ( ~ ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ sK1_A ) )
= $false )
| ( ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[806]) ).
thf(826,plain,
! [SV182: $i > $i > $o] :
( ( ( ~ ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
@ sK2_SY650 ) )
= $false )
| ( ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(827,plain,
! [SV18: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $true )
| ( ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[820]) ).
thf(828,plain,
! [SV100: $i > $i > $o] :
( ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ sK1_A )
= $true )
| ( ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[823]) ).
thf(829,plain,
! [SV182: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $true )
| ( ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[826]) ).
thf(832,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ! [SY975: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY975 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SY975 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY975 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extuni,[status(esa)],[814:[bind(SV9,$thf( sK1_A ))]]) ).
thf(833,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ! [SY975: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY975 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SY975 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY975 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extuni,[status(esa)],[814:[bind(SV9,$thf( sK1_A ))]]) ).
thf(834,plain,
! [SV8: $i > $i > $o] :
( ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extuni,[status(esa)],[814:[bind(SV9,$thf( sK1_A ))]]) ).
thf(835,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ! [SY979: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY979 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SY979 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY979 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extuni,[status(esa)],[814:[bind(SV9,$thf( sK1_A ))]]) ).
thf(836,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ! [SY979: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY979 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SY979 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY979 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extuni,[status(esa)],[814:[bind(SV9,$thf( sK1_A ))]]) ).
thf(837,plain,
! [SV8: $i > $i > $o] :
( ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extuni,[status(esa)],[814:[bind(SV9,$thf( sK1_A ))]]) ).
thf(838,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ! [SY983: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY983 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK28_E @ SV8 ) @ SY983 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY983 @ ( sK29_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[671:[bind(SV9,$thf( sK1_A ))]]) ).
thf(839,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ! [SY983: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY983 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK28_E @ SV8 ) @ SY983 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY983 @ ( sK29_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[671:[bind(SV9,$thf( sK1_A ))]]) ).
thf(840,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ! [SY987: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY987 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV8 ) @ SY987 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY987 @ ( sK31_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[671:[bind(SV9,$thf( sK1_A ))]]) ).
thf(841,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ! [SY987: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY987 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV8 ) @ SY987 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY987 @ ( sK31_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[671:[bind(SV9,$thf( sK1_A ))]]) ).
thf(843,plain,
! [SV438: $i > $i > $o] :
( ( ( ~ ( SV438
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV438
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) ) )
@ sK3_SY652 ) )
= $false ) ),
inference(extuni,[status(esa)],[683:[bind(SV18,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV438 @ SX0 @ SX1 ) ))]]) ).
thf(845,plain,
! [SV449: $i > $i > $o] :
( ( ( ~ ( SV449
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV449
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) )
@ sK1_A ) )
= $false ) ),
inference(extuni,[status(esa)],[689:[bind(SV100,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV449 @ SX0 @ SX1 ) ))]]) ).
thf(847,plain,
! [SV460: $i > $i > $o] :
( ( ( ~ ( SV460
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV460
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) ) )
@ sK2_SY650 ) )
= $false ) ),
inference(extuni,[status(esa)],[695:[bind(SV182,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV460 @ SX0 @ SX1 ) ))]]) ).
thf(848,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY1003: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1003 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK32_E @ SV6 ) @ SY1003 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1003 @ ( sK33_E @ SV6 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $true ) ),
inference(extuni,[status(esa)],[64]) ).
thf(849,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY1003: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1003 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK32_E @ SV6 ) @ SY1003 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1003 @ ( sK33_E @ SV6 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $false ) ),
inference(extuni,[status(esa)],[64]) ).
thf(850,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ! [SY1007: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1007 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK34_E @ SV8 ) @ SY1007 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1007 @ ( sK35_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $true ) ),
inference(extuni,[status(esa)],[94:[bind(SV9,$thf( sK1_A ))]]) ).
thf(851,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ! [SY1007: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1007 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK34_E @ SV8 ) @ SY1007 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1007 @ ( sK35_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $false ) ),
inference(extuni,[status(esa)],[94:[bind(SV9,$thf( sK1_A ))]]) ).
thf(852,plain,
! [SV8: $i > $i > $o] :
( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false ),
inference(extuni,[status(esa)],[94:[bind(SV9,$thf( sK1_A ))]]) ).
thf(853,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ! [SY1011: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1011 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK36_E @ SV8 ) @ SY1011 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1011 @ ( sK37_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $true ) ),
inference(extuni,[status(esa)],[112]) ).
thf(854,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ! [SY1011: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1011 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK36_E @ SV8 ) @ SY1011 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1011 @ ( sK37_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $false ) ),
inference(extuni,[status(esa)],[112]) ).
thf(855,plain,
! [SV10: $i,SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY1015: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1015 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ SY1015 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1015 @ ( sK39_E @ SV8 @ SV10 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extuni,[status(esa)],[233]) ).
thf(856,plain,
! [SV10: $i,SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY1015: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1015 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ SY1015 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1015 @ ( sK39_E @ SV8 @ SV10 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extuni,[status(esa)],[233]) ).
thf(857,plain,
! [SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY1019: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1019 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK40_E @ SV8 ) @ SY1019 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1019 @ ( sK41_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $true )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extuni,[status(esa)],[234]) ).
thf(858,plain,
! [SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY1019: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1019 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK40_E @ SV8 ) @ SY1019 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1019 @ ( sK41_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $false )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extuni,[status(esa)],[234]) ).
thf(859,plain,
! [SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY1023: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1023 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK42_E @ SV8 ) @ SY1023 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1023 @ ( sK43_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extuni,[status(esa)],[235]) ).
thf(860,plain,
! [SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY1023: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1023 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK42_E @ SV8 ) @ SY1023 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1023 @ ( sK43_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extuni,[status(esa)],[235]) ).
thf(861,plain,
! [SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY1027: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1027 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK44_E @ SV8 ) @ SY1027 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1027 @ ( sK45_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extuni,[status(esa)],[236]) ).
thf(862,plain,
! [SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY1027: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1027 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK44_E @ SV8 ) @ SY1027 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1027 @ ( sK45_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extuni,[status(esa)],[236]) ).
thf(865,plain,
! [SV15: $i > $i > $o,SV261: $i > $i > $o] :
( ( ( ( sK5_E @ SV261 )
= ( sK5_E @ SV15 ) )
= $false )
| ( ( in @ ( sK6_SY661 @ SV15 ) @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ ( sK6_SY661 @ SV15 ) ) @ sK2_SY650 )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true ) ),
inference(extuni,[status(esa)],[348:[bind(SV262,$thf( sK6_SY661 @ SV15 ))]]) ).
thf(866,plain,
! [SV15: $i > $i > $o,SV261: $i > $i > $o] :
( ( ( ( sK4_E @ SV261 )
= ( sK6_SY661 @ SV15 ) )
= $false )
| ( ( sK2_SY650 = sK3_SY652 )
= $false )
| ( ( in @ ( kpair @ ( sK5_E @ SV15 ) @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ ( sK5_E @ SV15 ) @ sK1_A )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true ) ),
inference(extuni,[status(esa)],[351:[bind(SV262,$thf( sK5_E @ SV15 ))]]) ).
thf(867,plain,
! [SV179: $i > $i > $o,SV261: $i > $i > $o] :
( ( ( ( sK5_E @ SV261 )
= ( sK6_SY661 @ SV179 ) )
= $false )
| ( ( sK3_SY652 = sK2_SY650 )
= $false )
| ( ( in @ ( sK4_E @ SV179 ) @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ ( sK4_E @ SV179 ) ) @ sK2_SY650 )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true ) ),
inference(extuni,[status(esa)],[356:[bind(SV262,$thf( sK4_E @ SV179 ))]]) ).
thf(870,plain,
! [SV179: $i > $i > $o,SV261: $i > $i > $o] :
( ( ( ( sK4_E @ SV261 )
= ( sK4_E @ SV179 ) )
= $false )
| ( ( in @ ( kpair @ ( sK6_SY661 @ SV179 ) @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ ( sK6_SY661 @ SV179 ) @ sK1_A )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true ) ),
inference(extuni,[status(esa)],[360:[bind(SV262,$thf( sK6_SY661 @ SV179 ))]]) ).
thf(873,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[837]) ).
thf(874,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY979: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY979 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SY979 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY979 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[836]) ).
thf(875,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY979: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY979 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SY979 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY979 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(876,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(877,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY975: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY975 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SY975 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY975 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[833]) ).
thf(878,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY975: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY975 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SY975 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY975 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(879,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY987: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY987 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV8 ) @ SY987 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY987 @ ( sK31_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[841]) ).
thf(880,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY987: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY987 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV8 ) @ SY987 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY987 @ ( sK31_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(881,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY983: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY983 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK28_E @ SV8 ) @ SY983 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY983 @ ( sK29_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[839]) ).
thf(882,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY983: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY983 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK28_E @ SV8 ) @ SY983 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY983 @ ( sK29_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(883,plain,
! [SV438: $i > $i > $o] :
( ( ( SV438
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV438
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) ) )
@ sK3_SY652 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[843]) ).
thf(885,plain,
! [SV449: $i > $i > $o] :
( ( ( SV449
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV449
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) )
@ sK1_A ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[845]) ).
thf(887,plain,
! [SV460: $i > $i > $o] :
( ( ( SV460
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV460
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) ) )
@ sK2_SY650 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[847]) ).
thf(889,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY1003: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1003 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK32_E @ SV6 ) @ SY1003 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1003 @ ( sK33_E @ SV6 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[849]) ).
thf(890,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY1003: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1003 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK32_E @ SV6 ) @ SY1003 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1003 @ ( sK33_E @ SV6 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(891,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY1007: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1007 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK34_E @ SV8 ) @ SY1007 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1007 @ ( sK35_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[851]) ).
thf(892,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY1007: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1007 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK34_E @ SV8 ) @ SY1007 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1007 @ ( sK35_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(893,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY1011: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1011 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK36_E @ SV8 ) @ SY1011 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1011 @ ( sK37_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[854]) ).
thf(894,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY1011: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1011 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK36_E @ SV8 ) @ SY1011 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1011 @ ( sK37_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[853]) ).
thf(895,plain,
! [SV8: $i > $i > $o,SV10: $i] :
( ( ( ! [SY1015: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1015 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ SY1015 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1015 @ ( sK39_E @ SV8 @ SV10 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[856]) ).
thf(896,plain,
! [SV8: $i > $i > $o,SV10: $i] :
( ( ( ! [SY1015: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1015 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ SY1015 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1015 @ ( sK39_E @ SV8 @ SV10 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(897,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY1019: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1019 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK40_E @ SV8 ) @ SY1019 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1019 @ ( sK41_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $false )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[858]) ).
thf(898,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY1019: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1019 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK40_E @ SV8 ) @ SY1019 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1019 @ ( sK41_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $true )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[857]) ).
thf(899,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY1023: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1023 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK42_E @ SV8 ) @ SY1023 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1023 @ ( sK43_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[860]) ).
thf(900,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY1023: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1023 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK42_E @ SV8 ) @ SY1023 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1023 @ ( sK43_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(901,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY1027: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1027 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK44_E @ SV8 ) @ SY1027 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1027 @ ( sK45_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[862]) ).
thf(902,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY1027: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1027 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK44_E @ SV8 ) @ SY1027 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1027 @ ( sK45_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[861]) ).
thf(905,plain,
! [SV8: $i > $i > $o,SV468: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV468 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV468 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV468 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[873]) ).
thf(906,plain,
! [SV8: $i > $i > $o,SV469: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV469 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SV469 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV469 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(907,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK47_SY979 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV8 ) @ ( sK47_SY979 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK47_SY979 @ SV8 ) @ ( sK27_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[875]) ).
thf(908,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK48_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK48_SY971 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK48_SY971 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[876]) ).
thf(909,plain,
! [SV8: $i > $i > $o,SV470: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV470 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[877]) ).
thf(910,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK49_SY975 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV8 ) @ ( sK49_SY975 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK49_SY975 @ SV8 ) @ ( sK25_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[878]) ).
thf(911,plain,
! [SV8: $i > $i > $o,SV471: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV471 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV8 ) @ SV471 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV471 @ ( sK31_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[879]) ).
thf(912,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK50_SY987 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV8 ) @ ( sK50_SY987 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK50_SY987 @ SV8 ) @ ( sK31_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[880]) ).
thf(913,plain,
! [SV8: $i > $i > $o,SV472: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV472 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK28_E @ SV8 ) @ SV472 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV472 @ ( sK29_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[881]) ).
thf(914,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK51_SY983 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK28_E @ SV8 ) @ ( sK51_SY983 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK51_SY983 @ SV8 ) @ ( sK29_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[882]) ).
thf(915,plain,
! [SV438: $i > $i > $o] :
( ( ( SV438
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV438
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) ) )
@ sK3_SY652 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[883]) ).
thf(917,plain,
! [SV449: $i > $i > $o] :
( ( ( SV449
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV449
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) )
@ sK1_A ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[885]) ).
thf(919,plain,
! [SV460: $i > $i > $o] :
( ( ( SV460
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV460
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) ) )
@ sK2_SY650 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[887]) ).
thf(921,plain,
! [SV6: $i > $i > $o,SV473: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV473 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK32_E @ SV6 ) @ SV473 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV473 @ ( sK33_E @ SV6 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[889]) ).
thf(922,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK52_SY1003 @ SV6 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK32_E @ SV6 ) @ ( sK52_SY1003 @ SV6 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK52_SY1003 @ SV6 ) @ ( sK33_E @ SV6 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[890]) ).
thf(923,plain,
! [SV8: $i > $i > $o,SV474: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV474 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK34_E @ SV8 ) @ SV474 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV474 @ ( sK35_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[891]) ).
thf(924,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK53_SY1007 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK34_E @ SV8 ) @ ( sK53_SY1007 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK53_SY1007 @ SV8 ) @ ( sK35_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[892]) ).
thf(925,plain,
! [SV8: $i > $i > $o,SV475: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV475 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK36_E @ SV8 ) @ SV475 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV475 @ ( sK37_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[893]) ).
thf(926,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK54_SY1011 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK36_E @ SV8 ) @ ( sK54_SY1011 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK54_SY1011 @ SV8 ) @ ( sK37_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[894]) ).
thf(927,plain,
! [SV8: $i > $i > $o,SV10: $i,SV476: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV476 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ SV476 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV476 @ ( sK39_E @ SV8 @ SV10 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[895]) ).
thf(928,plain,
! [SV10: $i,SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK55_SY1015 @ SV8 @ SV10 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ ( sK55_SY1015 @ SV8 @ SV10 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK55_SY1015 @ SV8 @ SV10 ) @ ( sK39_E @ SV8 @ SV10 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[896]) ).
thf(929,plain,
! [SV8: $i > $i > $o,SV477: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV477 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK40_E @ SV8 ) @ SV477 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV477 @ ( sK41_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $false )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[897]) ).
thf(930,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK56_SY1019 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK40_E @ SV8 ) @ ( sK56_SY1019 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK56_SY1019 @ SV8 ) @ ( sK41_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $true )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[898]) ).
thf(931,plain,
! [SV8: $i > $i > $o,SV478: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV478 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK42_E @ SV8 ) @ SV478 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV478 @ ( sK43_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[899]) ).
thf(932,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK57_SY1023 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK42_E @ SV8 ) @ ( sK57_SY1023 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK57_SY1023 @ SV8 ) @ ( sK43_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[900]) ).
thf(933,plain,
! [SV8: $i > $i > $o,SV479: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV479 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK44_E @ SV8 ) @ SV479 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV479 @ ( sK45_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[901]) ).
thf(934,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK58_SY1027 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK44_E @ SV8 ) @ ( sK58_SY1027 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK58_SY1027 @ SV8 ) @ ( sK45_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[902]) ).
thf(937,plain,
! [SV8: $i > $i > $o,SV468: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV468 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV468 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV468 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(938,plain,
! [SV8: $i > $i > $o,SV469: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV469 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SV469 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV469 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(939,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK47_SY979 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV8 ) @ ( sK47_SY979 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK47_SY979 @ SV8 ) @ ( sK27_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[907]) ).
thf(940,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK48_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK48_SY971 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK48_SY971 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[908]) ).
thf(941,plain,
! [SV8: $i > $i > $o,SV470: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV470 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[909]) ).
thf(942,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK49_SY975 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV8 ) @ ( sK49_SY975 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK49_SY975 @ SV8 ) @ ( sK25_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[910]) ).
thf(943,plain,
! [SV8: $i > $i > $o,SV471: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV471 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV8 ) @ SV471 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV471 @ ( sK31_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(944,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK50_SY987 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV8 ) @ ( sK50_SY987 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK50_SY987 @ SV8 ) @ ( sK31_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[912]) ).
thf(945,plain,
! [SV8: $i > $i > $o,SV472: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV472 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK28_E @ SV8 ) @ SV472 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV472 @ ( sK29_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(946,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK51_SY983 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK28_E @ SV8 ) @ ( sK51_SY983 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK51_SY983 @ SV8 ) @ ( sK29_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[914]) ).
thf(947,plain,
! [SV438: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $true )
| ( ( SV438
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV438
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[915]) ).
thf(949,plain,
! [SV449: $i > $i > $o] :
( ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) )
@ sK1_A )
= $true )
| ( ( SV449
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV449
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[917]) ).
thf(951,plain,
! [SV460: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $true )
| ( ( SV460
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV460
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[919]) ).
thf(953,plain,
! [SV6: $i > $i > $o,SV473: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV473 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK32_E @ SV6 ) @ SV473 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV473 @ ( sK33_E @ SV6 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(954,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK52_SY1003 @ SV6 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK32_E @ SV6 ) @ ( sK52_SY1003 @ SV6 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK52_SY1003 @ SV6 ) @ ( sK33_E @ SV6 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[922]) ).
thf(955,plain,
! [SV8: $i > $i > $o,SV474: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV474 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK34_E @ SV8 ) @ SV474 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV474 @ ( sK35_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(956,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK53_SY1007 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK34_E @ SV8 ) @ ( sK53_SY1007 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK53_SY1007 @ SV8 ) @ ( sK35_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[924]) ).
thf(957,plain,
! [SV8: $i > $i > $o,SV475: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV475 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK36_E @ SV8 ) @ SV475 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV475 @ ( sK37_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[925]) ).
thf(958,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK54_SY1011 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK36_E @ SV8 ) @ ( sK54_SY1011 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK54_SY1011 @ SV8 ) @ ( sK37_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[926]) ).
thf(959,plain,
! [SV8: $i > $i > $o,SV10: $i,SV476: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV476 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ SV476 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV476 @ ( sK39_E @ SV8 @ SV10 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[927]) ).
thf(960,plain,
! [SV10: $i,SV8: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK55_SY1015 @ SV8 @ SV10 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ ( sK55_SY1015 @ SV8 @ SV10 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK55_SY1015 @ SV8 @ SV10 ) @ ( sK39_E @ SV8 @ SV10 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[928]) ).
thf(961,plain,
! [SV8: $i > $i > $o,SV477: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV477 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK40_E @ SV8 ) @ SV477 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV477 @ ( sK41_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $false )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[929]) ).
thf(962,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK56_SY1019 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK40_E @ SV8 ) @ ( sK56_SY1019 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK56_SY1019 @ SV8 ) @ ( sK41_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $true )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[930]) ).
thf(963,plain,
! [SV8: $i > $i > $o,SV478: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV478 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK42_E @ SV8 ) @ SV478 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV478 @ ( sK43_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[931]) ).
thf(964,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK57_SY1023 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK42_E @ SV8 ) @ ( sK57_SY1023 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK57_SY1023 @ SV8 ) @ ( sK43_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[932]) ).
thf(965,plain,
! [SV8: $i > $i > $o,SV479: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV479 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK44_E @ SV8 ) @ SV479 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV479 @ ( sK45_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(966,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK58_SY1027 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK44_E @ SV8 ) @ ( sK58_SY1027 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK58_SY1027 @ SV8 ) @ ( sK45_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[934]) ).
thf(969,plain,
! [SV8: $i > $i > $o,SV468: $i] :
( ( ( ~ ~ ( ~ ( in @ SV468 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV468 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV468 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[937]) ).
thf(970,plain,
! [SV8: $i > $i > $o,SV469: $i] :
( ( ( ~ ~ ( ~ ( in @ SV469 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SV469 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV469 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[938]) ).
thf(971,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK47_SY979 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV8 ) @ ( sK47_SY979 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK47_SY979 @ SV8 ) @ ( sK27_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[939]) ).
thf(972,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK48_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK48_SY971 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK48_SY971 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[940]) ).
thf(973,plain,
! [SV8: $i > $i > $o,SV470: $i] :
( ( ( ~ ~ ( ~ ( in @ SV470 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[941]) ).
thf(974,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK49_SY975 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV8 ) @ ( sK49_SY975 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK49_SY975 @ SV8 ) @ ( sK25_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(975,plain,
! [SV8: $i > $i > $o,SV471: $i] :
( ( ( ~ ~ ( ~ ( in @ SV471 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV8 ) @ SV471 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV471 @ ( sK31_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[943]) ).
thf(976,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK50_SY987 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV8 ) @ ( sK50_SY987 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK50_SY987 @ SV8 ) @ ( sK31_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(977,plain,
! [SV8: $i > $i > $o,SV472: $i] :
( ( ( ~ ~ ( ~ ( in @ SV472 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK28_E @ SV8 ) @ SV472 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV472 @ ( sK29_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[945]) ).
thf(978,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK51_SY983 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK28_E @ SV8 ) @ ( sK51_SY983 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK51_SY983 @ SV8 ) @ ( sK29_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(979,plain,
! [SV6: $i > $i > $o,SV473: $i] :
( ( ( ~ ~ ( ~ ( in @ SV473 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK32_E @ SV6 ) @ SV473 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV473 @ ( sK33_E @ SV6 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[953]) ).
thf(980,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK52_SY1003 @ SV6 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK32_E @ SV6 ) @ ( sK52_SY1003 @ SV6 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK52_SY1003 @ SV6 ) @ ( sK33_E @ SV6 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[954]) ).
thf(981,plain,
! [SV8: $i > $i > $o,SV474: $i] :
( ( ( ~ ~ ( ~ ( in @ SV474 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK34_E @ SV8 ) @ SV474 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV474 @ ( sK35_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[955]) ).
thf(982,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK53_SY1007 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK34_E @ SV8 ) @ ( sK53_SY1007 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK53_SY1007 @ SV8 ) @ ( sK35_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(983,plain,
! [SV8: $i > $i > $o,SV475: $i] :
( ( ( ~ ~ ( ~ ( in @ SV475 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK36_E @ SV8 ) @ SV475 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV475 @ ( sK37_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[957]) ).
thf(984,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK54_SY1011 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK36_E @ SV8 ) @ ( sK54_SY1011 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK54_SY1011 @ SV8 ) @ ( sK37_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[958]) ).
thf(985,plain,
! [SV8: $i > $i > $o,SV10: $i,SV476: $i] :
( ( ( ~ ~ ( ~ ( in @ SV476 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ SV476 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV476 @ ( sK39_E @ SV8 @ SV10 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[959]) ).
thf(986,plain,
! [SV10: $i,SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK55_SY1015 @ SV8 @ SV10 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ ( sK55_SY1015 @ SV8 @ SV10 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK55_SY1015 @ SV8 @ SV10 ) @ ( sK39_E @ SV8 @ SV10 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(987,plain,
! [SV8: $i > $i > $o,SV477: $i] :
( ( ( ~ ~ ( ~ ( in @ SV477 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK40_E @ SV8 ) @ SV477 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV477 @ ( sK41_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $false )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[961]) ).
thf(988,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK56_SY1019 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK40_E @ SV8 ) @ ( sK56_SY1019 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK56_SY1019 @ SV8 ) @ ( sK41_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $true )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[962]) ).
thf(989,plain,
! [SV8: $i > $i > $o,SV478: $i] :
( ( ( ~ ~ ( ~ ( in @ SV478 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK42_E @ SV8 ) @ SV478 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV478 @ ( sK43_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[963]) ).
thf(990,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK57_SY1023 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK42_E @ SV8 ) @ ( sK57_SY1023 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK57_SY1023 @ SV8 ) @ ( sK43_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[964]) ).
thf(991,plain,
! [SV8: $i > $i > $o,SV479: $i] :
( ( ( ~ ~ ( ~ ( in @ SV479 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK44_E @ SV8 ) @ SV479 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV479 @ ( sK45_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[965]) ).
thf(992,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK58_SY1027 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK44_E @ SV8 ) @ ( sK58_SY1027 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK58_SY1027 @ SV8 ) @ ( sK45_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[966]) ).
thf(996,plain,
! [SV8: $i > $i > $o,SV468: $i] :
( ( ( ~ ~ ( ~ ( in @ SV468 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV468 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV468 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[969]) ).
thf(997,plain,
! [SV8: $i > $i > $o,SV469: $i] :
( ( ( ~ ~ ( ~ ( in @ SV469 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SV469 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV469 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[970]) ).
thf(998,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK47_SY979 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV8 ) @ ( sK47_SY979 @ SV8 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[971]) ).
thf(999,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK47_SY979 @ SV8 ) @ ( sK27_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[971]) ).
thf(1000,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK48_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK48_SY971 @ SV8 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[972]) ).
thf(1001,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK48_SY971 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[972]) ).
thf(1002,plain,
! [SV8: $i > $i > $o,SV470: $i] :
( ( ( ~ ~ ( ~ ( in @ SV470 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[973]) ).
thf(1003,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK49_SY975 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV8 ) @ ( sK49_SY975 @ SV8 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[974]) ).
thf(1004,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK49_SY975 @ SV8 ) @ ( sK25_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[974]) ).
thf(1005,plain,
! [SV8: $i > $i > $o,SV471: $i] :
( ( ( ~ ~ ( ~ ( in @ SV471 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV8 ) @ SV471 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV471 @ ( sK31_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[975]) ).
thf(1006,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK50_SY987 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV8 ) @ ( sK50_SY987 @ SV8 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[976]) ).
thf(1007,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK50_SY987 @ SV8 ) @ ( sK31_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[976]) ).
thf(1008,plain,
! [SV8: $i > $i > $o,SV472: $i] :
( ( ( ~ ~ ( ~ ( in @ SV472 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK28_E @ SV8 ) @ SV472 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV472 @ ( sK29_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[977]) ).
thf(1009,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK51_SY983 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK28_E @ SV8 ) @ ( sK51_SY983 @ SV8 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[978]) ).
thf(1010,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK51_SY983 @ SV8 ) @ ( sK29_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[978]) ).
thf(1011,plain,
! [SV6: $i > $i > $o,SV473: $i] :
( ( ( ~ ~ ( ~ ( in @ SV473 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK32_E @ SV6 ) @ SV473 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV473 @ ( sK33_E @ SV6 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(1012,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK52_SY1003 @ SV6 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK32_E @ SV6 ) @ ( sK52_SY1003 @ SV6 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[980]) ).
thf(1013,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK52_SY1003 @ SV6 ) @ ( sK33_E @ SV6 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[980]) ).
thf(1014,plain,
! [SV8: $i > $i > $o,SV474: $i] :
( ( ( ~ ~ ( ~ ( in @ SV474 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK34_E @ SV8 ) @ SV474 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV474 @ ( sK35_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[981]) ).
thf(1015,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK53_SY1007 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK34_E @ SV8 ) @ ( sK53_SY1007 @ SV8 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[982]) ).
thf(1016,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK53_SY1007 @ SV8 ) @ ( sK35_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[982]) ).
thf(1017,plain,
! [SV8: $i > $i > $o,SV475: $i] :
( ( ( ~ ~ ( ~ ( in @ SV475 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK36_E @ SV8 ) @ SV475 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV475 @ ( sK37_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[983]) ).
thf(1018,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK54_SY1011 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK36_E @ SV8 ) @ ( sK54_SY1011 @ SV8 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[984]) ).
thf(1019,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK54_SY1011 @ SV8 ) @ ( sK37_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[984]) ).
thf(1020,plain,
! [SV8: $i > $i > $o,SV10: $i,SV476: $i] :
( ( ( ~ ~ ( ~ ( in @ SV476 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ SV476 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV476 @ ( sK39_E @ SV8 @ SV10 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[985]) ).
thf(1021,plain,
! [SV10: $i,SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK55_SY1015 @ SV8 @ SV10 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ ( sK55_SY1015 @ SV8 @ SV10 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[986]) ).
thf(1022,plain,
! [SV10: $i,SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK55_SY1015 @ SV8 @ SV10 ) @ ( sK39_E @ SV8 @ SV10 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[986]) ).
thf(1023,plain,
! [SV8: $i > $i > $o,SV477: $i] :
( ( ( ~ ~ ( ~ ( in @ SV477 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK40_E @ SV8 ) @ SV477 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV477 @ ( sK41_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $false )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[987]) ).
thf(1024,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK56_SY1019 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK40_E @ SV8 ) @ ( sK56_SY1019 @ SV8 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $true )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[988]) ).
thf(1025,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK56_SY1019 @ SV8 ) @ ( sK41_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $true )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[988]) ).
thf(1026,plain,
! [SV8: $i > $i > $o,SV478: $i] :
( ( ( ~ ~ ( ~ ( in @ SV478 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK42_E @ SV8 ) @ SV478 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV478 @ ( sK43_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[989]) ).
thf(1027,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK57_SY1023 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK42_E @ SV8 ) @ ( sK57_SY1023 @ SV8 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[990]) ).
thf(1028,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK57_SY1023 @ SV8 ) @ ( sK43_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[990]) ).
thf(1029,plain,
! [SV8: $i > $i > $o,SV479: $i] :
( ( ( ~ ~ ( ~ ( in @ SV479 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK44_E @ SV8 ) @ SV479 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV479 @ ( sK45_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[991]) ).
thf(1030,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK58_SY1027 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK44_E @ SV8 ) @ ( sK58_SY1027 @ SV8 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[992]) ).
thf(1031,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK58_SY1027 @ SV8 ) @ ( sK45_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[992]) ).
thf(1035,plain,
! [SV8: $i > $i > $o,SV468: $i] :
( ( ( ~ ( ~ ( in @ SV468 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV468 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV468 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(1036,plain,
! [SV8: $i > $i > $o,SV469: $i] :
( ( ( ~ ( ~ ( in @ SV469 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SV469 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV469 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1037,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK47_SY979 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV8 ) @ ( sK47_SY979 @ SV8 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[998]) ).
thf(1038,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK47_SY979 @ SV8 ) @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[999]) ).
thf(1039,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK48_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK48_SY971 @ SV8 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1000]) ).
thf(1040,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK48_SY971 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1001]) ).
thf(1041,plain,
! [SV8: $i > $i > $o,SV470: $i] :
( ( ( ~ ( ~ ( in @ SV470 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1002]) ).
thf(1042,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK49_SY975 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV8 ) @ ( sK49_SY975 @ SV8 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1003]) ).
thf(1043,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK49_SY975 @ SV8 ) @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1004]) ).
thf(1044,plain,
! [SV8: $i > $i > $o,SV471: $i] :
( ( ( ~ ( ~ ( in @ SV471 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV8 ) @ SV471 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV471 @ ( sK31_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1005]) ).
thf(1045,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK50_SY987 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV8 ) @ ( sK50_SY987 @ SV8 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1006]) ).
thf(1046,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK50_SY987 @ SV8 ) @ ( sK31_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1007]) ).
thf(1047,plain,
! [SV8: $i > $i > $o,SV472: $i] :
( ( ( ~ ( ~ ( in @ SV472 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK28_E @ SV8 ) @ SV472 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV472 @ ( sK29_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1008]) ).
thf(1048,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK51_SY983 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK28_E @ SV8 ) @ ( sK51_SY983 @ SV8 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1009]) ).
thf(1049,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK51_SY983 @ SV8 ) @ ( sK29_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1010]) ).
thf(1050,plain,
! [SV6: $i > $i > $o,SV473: $i] :
( ( ( ~ ( ~ ( in @ SV473 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK32_E @ SV6 ) @ SV473 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV473 @ ( sK33_E @ SV6 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1051,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK52_SY1003 @ SV6 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK32_E @ SV6 ) @ ( sK52_SY1003 @ SV6 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1012]) ).
thf(1052,plain,
! [SV6: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK52_SY1003 @ SV6 ) @ ( sK33_E @ SV6 ) ) @ sK3_SY652 )
= $true )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1013]) ).
thf(1053,plain,
! [SV8: $i > $i > $o,SV474: $i] :
( ( ( ~ ( ~ ( in @ SV474 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK34_E @ SV8 ) @ SV474 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV474 @ ( sK35_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1014]) ).
thf(1054,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK53_SY1007 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK34_E @ SV8 ) @ ( sK53_SY1007 @ SV8 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1015]) ).
thf(1055,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK53_SY1007 @ SV8 ) @ ( sK35_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1016]) ).
thf(1056,plain,
! [SV8: $i > $i > $o,SV475: $i] :
( ( ( ~ ( ~ ( in @ SV475 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK36_E @ SV8 ) @ SV475 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV475 @ ( sK37_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1017]) ).
thf(1057,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK54_SY1011 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK36_E @ SV8 ) @ ( sK54_SY1011 @ SV8 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1018]) ).
thf(1058,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK54_SY1011 @ SV8 ) @ ( sK37_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1019]) ).
thf(1059,plain,
! [SV8: $i > $i > $o,SV10: $i,SV476: $i] :
( ( ( ~ ( ~ ( in @ SV476 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ SV476 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV476 @ ( sK39_E @ SV8 @ SV10 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1060,plain,
! [SV10: $i,SV8: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK55_SY1015 @ SV8 @ SV10 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ ( sK55_SY1015 @ SV8 @ SV10 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1021]) ).
thf(1061,plain,
! [SV10: $i,SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK55_SY1015 @ SV8 @ SV10 ) @ ( sK39_E @ SV8 @ SV10 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1022]) ).
thf(1062,plain,
! [SV8: $i > $i > $o,SV477: $i] :
( ( ( ~ ( ~ ( in @ SV477 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK40_E @ SV8 ) @ SV477 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV477 @ ( sK41_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $false )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1063,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK56_SY1019 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK40_E @ SV8 ) @ ( sK56_SY1019 @ SV8 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $true )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1024]) ).
thf(1064,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK56_SY1019 @ SV8 ) @ ( sK41_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $true )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1025]) ).
thf(1065,plain,
! [SV8: $i > $i > $o,SV478: $i] :
( ( ( ~ ( ~ ( in @ SV478 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK42_E @ SV8 ) @ SV478 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV478 @ ( sK43_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1066,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK57_SY1023 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK42_E @ SV8 ) @ ( sK57_SY1023 @ SV8 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1027]) ).
thf(1067,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK57_SY1023 @ SV8 ) @ ( sK43_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1028]) ).
thf(1068,plain,
! [SV8: $i > $i > $o,SV479: $i] :
( ( ( ~ ( ~ ( in @ SV479 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK44_E @ SV8 ) @ SV479 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV479 @ ( sK45_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1029]) ).
thf(1069,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK58_SY1027 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK44_E @ SV8 ) @ ( sK58_SY1027 @ SV8 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1030]) ).
thf(1070,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK58_SY1027 @ SV8 ) @ ( sK45_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1031]) ).
thf(1073,plain,
! [SV8: $i > $i > $o,SV468: $i] :
( ( ( ~ ( in @ SV468 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV468 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV468 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1035]) ).
thf(1074,plain,
! [SV8: $i > $i > $o,SV469: $i] :
( ( ( ~ ( in @ SV469 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SV469 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV469 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1036]) ).
thf(1075,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK47_SY979 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK26_E @ SV8 ) @ ( sK47_SY979 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1076,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK47_SY979 @ SV8 ) @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1038]) ).
thf(1077,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK48_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK48_SY971 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1039]) ).
thf(1078,plain,
! [SV8: $i > $i > $o,SV470: $i] :
( ( ( ~ ( in @ SV470 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1041]) ).
thf(1079,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK49_SY975 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK24_E @ SV8 ) @ ( sK49_SY975 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1080,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK49_SY975 @ SV8 ) @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1043]) ).
thf(1081,plain,
! [SV8: $i > $i > $o,SV471: $i] :
( ( ( ~ ( in @ SV471 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV8 ) @ SV471 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV471 @ ( sK31_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1044]) ).
thf(1082,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK50_SY987 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK30_E @ SV8 ) @ ( sK50_SY987 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1045]) ).
thf(1083,plain,
! [SV8: $i > $i > $o,SV472: $i] :
( ( ( ~ ( in @ SV472 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK28_E @ SV8 ) @ SV472 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV472 @ ( sK29_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1047]) ).
thf(1084,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK51_SY983 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK28_E @ SV8 ) @ ( sK51_SY983 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1048]) ).
thf(1085,plain,
! [SV6: $i > $i > $o,SV473: $i] :
( ( ( ~ ( in @ SV473 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK32_E @ SV6 ) @ SV473 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV473 @ ( sK33_E @ SV6 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1050]) ).
thf(1086,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( in @ ( sK52_SY1003 @ SV6 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK32_E @ SV6 ) @ ( sK52_SY1003 @ SV6 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1051]) ).
thf(1087,plain,
! [SV8: $i > $i > $o,SV474: $i] :
( ( ( ~ ( in @ SV474 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK34_E @ SV8 ) @ SV474 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV474 @ ( sK35_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1053]) ).
thf(1088,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK53_SY1007 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK34_E @ SV8 ) @ ( sK53_SY1007 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1054]) ).
thf(1089,plain,
! [SV8: $i > $i > $o,SV475: $i] :
( ( ( ~ ( in @ SV475 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK36_E @ SV8 ) @ SV475 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV475 @ ( sK37_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1056]) ).
thf(1090,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK54_SY1011 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK36_E @ SV8 ) @ ( sK54_SY1011 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1057]) ).
thf(1091,plain,
! [SV8: $i > $i > $o,SV10: $i,SV476: $i] :
( ( ( ~ ( in @ SV476 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ SV476 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV476 @ ( sK39_E @ SV8 @ SV10 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1059]) ).
thf(1092,plain,
! [SV10: $i,SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK55_SY1015 @ SV8 @ SV10 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ ( sK55_SY1015 @ SV8 @ SV10 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1093,plain,
! [SV8: $i > $i > $o,SV477: $i] :
( ( ( ~ ( in @ SV477 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK40_E @ SV8 ) @ SV477 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV477 @ ( sK41_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $false )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1062]) ).
thf(1094,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK56_SY1019 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK40_E @ SV8 ) @ ( sK56_SY1019 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $true )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1063]) ).
thf(1095,plain,
! [SV8: $i > $i > $o,SV478: $i] :
( ( ( ~ ( in @ SV478 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK42_E @ SV8 ) @ SV478 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV478 @ ( sK43_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1065]) ).
thf(1096,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK57_SY1023 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK42_E @ SV8 ) @ ( sK57_SY1023 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1066]) ).
thf(1097,plain,
! [SV8: $i > $i > $o,SV479: $i] :
( ( ( ~ ( in @ SV479 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK44_E @ SV8 ) @ SV479 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV479 @ ( sK45_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1068]) ).
thf(1098,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK58_SY1027 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK44_E @ SV8 ) @ ( sK58_SY1027 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1069]) ).
thf(1102,plain,
! [SV8: $i > $i > $o,SV468: $i] :
( ( ( ~ ( in @ SV468 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV468 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV468 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1073]) ).
thf(1103,plain,
! [SV8: $i > $i > $o,SV469: $i] :
( ( ( ~ ( in @ SV469 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SV469 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV469 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1074]) ).
thf(1104,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK47_SY979 @ SV8 ) @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1075]) ).
thf(1105,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK26_E @ SV8 ) @ ( sK47_SY979 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1075]) ).
thf(1106,plain,
! [SV8: $i > $i > $o,SV480: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV480 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV480 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV480 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK47_SY979 @ SV8 ) @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1076]) ).
thf(1107,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK48_SY971 @ SV8 ) @ sK1_A ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1077]) ).
thf(1108,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK48_SY971 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1077]) ).
thf(1109,plain,
! [SV8: $i > $i > $o,SV470: $i] :
( ( ( ~ ( in @ SV470 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1078]) ).
thf(1110,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK49_SY975 @ SV8 ) @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1079]) ).
thf(1111,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK24_E @ SV8 ) @ ( sK49_SY975 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1079]) ).
thf(1112,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK59_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK59_SY971 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK59_SY971 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK49_SY975 @ SV8 ) @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1080]) ).
thf(1113,plain,
! [SV8: $i > $i > $o,SV471: $i] :
( ( ( ~ ( in @ SV471 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK30_E @ SV8 ) @ SV471 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV471 @ ( sK31_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1081]) ).
thf(1114,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK50_SY987 @ SV8 ) @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1082]) ).
thf(1115,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK30_E @ SV8 ) @ ( sK50_SY987 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1082]) ).
thf(1116,plain,
! [SV8: $i > $i > $o,SV472: $i] :
( ( ( ~ ( in @ SV472 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK28_E @ SV8 ) @ SV472 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV472 @ ( sK29_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1083]) ).
thf(1117,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK51_SY983 @ SV8 ) @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1084]) ).
thf(1118,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK28_E @ SV8 ) @ ( sK51_SY983 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1084]) ).
thf(1119,plain,
! [SV6: $i > $i > $o,SV473: $i] :
( ( ( ~ ( in @ SV473 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK32_E @ SV6 ) @ SV473 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV473 @ ( sK33_E @ SV6 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1085]) ).
thf(1120,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( in @ ( sK52_SY1003 @ SV6 ) @ sK1_A ) )
= $false )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1086]) ).
thf(1121,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK32_E @ SV6 ) @ ( sK52_SY1003 @ SV6 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1086]) ).
thf(1122,plain,
! [SV8: $i > $i > $o,SV474: $i] :
( ( ( ~ ( in @ SV474 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK34_E @ SV8 ) @ SV474 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV474 @ ( sK35_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1087]) ).
thf(1123,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK53_SY1007 @ SV8 ) @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1088]) ).
thf(1124,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK34_E @ SV8 ) @ ( sK53_SY1007 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1088]) ).
thf(1125,plain,
! [SV8: $i > $i > $o,SV475: $i] :
( ( ( ~ ( in @ SV475 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK36_E @ SV8 ) @ SV475 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV475 @ ( sK37_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1089]) ).
thf(1126,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK54_SY1011 @ SV8 ) @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1090]) ).
thf(1127,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK36_E @ SV8 ) @ ( sK54_SY1011 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1090]) ).
thf(1128,plain,
! [SV8: $i > $i > $o,SV10: $i,SV476: $i] :
( ( ( ~ ( in @ SV476 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ SV476 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV476 @ ( sK39_E @ SV8 @ SV10 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1091]) ).
thf(1129,plain,
! [SV10: $i,SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK55_SY1015 @ SV8 @ SV10 ) @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1092]) ).
thf(1130,plain,
! [SV8: $i > $i > $o,SV10: $i] :
( ( ( ~ ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ ( sK55_SY1015 @ SV8 @ SV10 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1092]) ).
thf(1131,plain,
! [SV8: $i > $i > $o,SV477: $i] :
( ( ( ~ ( in @ SV477 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK40_E @ SV8 ) @ SV477 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV477 @ ( sK41_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $false )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1093]) ).
thf(1132,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK56_SY1019 @ SV8 ) @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $true )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1094]) ).
thf(1133,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK40_E @ SV8 ) @ ( sK56_SY1019 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $true )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1094]) ).
thf(1134,plain,
! [SV8: $i > $i > $o,SV478: $i] :
( ( ( ~ ( in @ SV478 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK42_E @ SV8 ) @ SV478 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV478 @ ( sK43_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1095]) ).
thf(1135,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK57_SY1023 @ SV8 ) @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1096]) ).
thf(1136,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK42_E @ SV8 ) @ ( sK57_SY1023 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1096]) ).
thf(1137,plain,
! [SV8: $i > $i > $o,SV479: $i] :
( ( ( ~ ( in @ SV479 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK44_E @ SV8 ) @ SV479 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV479 @ ( sK45_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1097]) ).
thf(1138,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK58_SY1027 @ SV8 ) @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1098]) ).
thf(1139,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK44_E @ SV8 ) @ ( sK58_SY1027 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1098]) ).
thf(1143,plain,
! [SV8: $i > $i > $o,SV468: $i] :
( ( ( in @ SV468 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV468 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV468 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1102]) ).
thf(1144,plain,
! [SV8: $i > $i > $o,SV469: $i] :
( ( ( in @ SV469 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SV469 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV469 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1103]) ).
thf(1145,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( sK47_SY979 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1104]) ).
thf(1146,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ ( sK47_SY979 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1105]) ).
thf(1147,plain,
! [SV8: $i > $i > $o,SV480: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV480 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV480 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV480 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK47_SY979 @ SV8 ) @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1106]) ).
thf(1148,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( sK48_SY971 @ SV8 ) @ sK1_A )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1107]) ).
thf(1149,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK48_SY971 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1108]) ).
thf(1150,plain,
! [SV8: $i > $i > $o,SV470: $i] :
( ( ( in @ SV470 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1109]) ).
thf(1151,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( sK49_SY975 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1110]) ).
thf(1152,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ ( sK49_SY975 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1111]) ).
thf(1153,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK59_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK59_SY971 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK59_SY971 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK49_SY975 @ SV8 ) @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1112]) ).
thf(1154,plain,
! [SV8: $i > $i > $o,SV471: $i] :
( ( ( in @ SV471 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK30_E @ SV8 ) @ SV471 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV471 @ ( sK31_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1113]) ).
thf(1155,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( sK50_SY987 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1114]) ).
thf(1156,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK30_E @ SV8 ) @ ( sK50_SY987 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1115]) ).
thf(1157,plain,
! [SV8: $i > $i > $o,SV472: $i] :
( ( ( in @ SV472 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK28_E @ SV8 ) @ SV472 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV472 @ ( sK29_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1158,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( sK51_SY983 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1117]) ).
thf(1159,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK28_E @ SV8 ) @ ( sK51_SY983 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $true )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1118]) ).
thf(1160,plain,
! [SV6: $i > $i > $o,SV473: $i] :
( ( ( in @ SV473 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK32_E @ SV6 ) @ SV473 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV473 @ ( sK33_E @ SV6 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1119]) ).
thf(1161,plain,
! [SV6: $i > $i > $o] :
( ( ( in @ ( sK52_SY1003 @ SV6 ) @ sK1_A )
= $true )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1120]) ).
thf(1162,plain,
! [SV6: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK32_E @ SV6 ) @ ( sK52_SY1003 @ SV6 ) ) @ sK2_SY650 )
= $true )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1121]) ).
thf(1163,plain,
! [SV8: $i > $i > $o,SV474: $i] :
( ( ( in @ SV474 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK34_E @ SV8 ) @ SV474 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV474 @ ( sK35_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1122]) ).
thf(1164,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( sK53_SY1007 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1123]) ).
thf(1165,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK34_E @ SV8 ) @ ( sK53_SY1007 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1124]) ).
thf(1166,plain,
! [SV8: $i > $i > $o,SV475: $i] :
( ( ( in @ SV475 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK36_E @ SV8 ) @ SV475 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV475 @ ( sK37_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1125]) ).
thf(1167,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( sK54_SY1011 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1126]) ).
thf(1168,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK36_E @ SV8 ) @ ( sK54_SY1011 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1127]) ).
thf(1169,plain,
! [SV8: $i > $i > $o,SV10: $i,SV476: $i] :
( ( ( in @ SV476 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ SV476 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV476 @ ( sK39_E @ SV8 @ SV10 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1128]) ).
thf(1170,plain,
! [SV10: $i,SV8: $i > $i > $o] :
( ( ( in @ ( sK55_SY1015 @ SV8 @ SV10 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1129]) ).
thf(1171,plain,
! [SV8: $i > $i > $o,SV10: $i] :
( ( ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ ( sK55_SY1015 @ SV8 @ SV10 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1130]) ).
thf(1172,plain,
! [SV8: $i > $i > $o,SV477: $i] :
( ( ( in @ SV477 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK40_E @ SV8 ) @ SV477 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV477 @ ( sK41_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $false )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1131]) ).
thf(1173,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( sK56_SY1019 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $true )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1132]) ).
thf(1174,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK40_E @ SV8 ) @ ( sK56_SY1019 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $true )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1133]) ).
thf(1175,plain,
! [SV8: $i > $i > $o,SV478: $i] :
( ( ( in @ SV478 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK42_E @ SV8 ) @ SV478 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV478 @ ( sK43_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1134]) ).
thf(1176,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( sK57_SY1023 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1135]) ).
thf(1177,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK42_E @ SV8 ) @ ( sK57_SY1023 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1136]) ).
thf(1178,plain,
! [SV8: $i > $i > $o,SV479: $i] :
( ( ( in @ SV479 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK44_E @ SV8 ) @ SV479 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV479 @ ( sK45_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1137]) ).
thf(1179,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( sK58_SY1027 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1138]) ).
thf(1180,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK44_E @ SV8 ) @ ( sK58_SY1027 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1139]) ).
thf(1182,plain,
! [SV468: $i,SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV468 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV468 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV468 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1143]) ).
thf(1183,plain,
! [SV469: $i,SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SV469 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV469 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV469 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1144]) ).
thf(1184,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( sK47_SY979 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1145]) ).
thf(1185,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ ( sK47_SY979 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1146]) ).
thf(1186,plain,
! [SV8: $i > $i > $o,SV480: $i] :
( ( ( ~ ~ ( ~ ( in @ SV480 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV480 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV480 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK47_SY979 @ SV8 ) @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1147]) ).
thf(1187,plain,
! [SV470: $i,SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV470 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1150]) ).
thf(1188,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( sK49_SY975 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1151]) ).
thf(1189,plain,
! [SV8: $i > $i > $o] :
( ( ( ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ ( sK49_SY975 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1152]) ).
thf(1190,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK59_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK59_SY971 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK59_SY971 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK49_SY975 @ SV8 ) @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1153]) ).
thf(1191,plain,
! [SV471: $i,SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK30_E @ SV8 ) @ SV471 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV471 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV471 @ ( sK31_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1154]) ).
thf(1192,plain,
! [SV472: $i,SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK28_E @ SV8 ) @ SV472 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV472 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV472 @ ( sK29_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1157]) ).
thf(1193,plain,
! [SV473: $i,SV6: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK32_E @ SV6 ) @ SV473 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV473 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV473 @ ( sK33_E @ SV6 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1160]) ).
thf(1194,plain,
! [SV474: $i,SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK34_E @ SV8 ) @ SV474 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV474 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV474 @ ( sK35_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1163]) ).
thf(1195,plain,
! [SV475: $i,SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK36_E @ SV8 ) @ SV475 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV475 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV475 @ ( sK37_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1166]) ).
thf(1196,plain,
! [SV476: $i,SV8: $i > $i > $o,SV10: $i] :
( ( ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ SV476 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV476 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV476 @ ( sK39_E @ SV8 @ SV10 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1169]) ).
thf(1197,plain,
! [SV477: $i,SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK40_E @ SV8 ) @ SV477 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV477 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV477 @ ( sK41_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $false )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1172]) ).
thf(1198,plain,
! [SV478: $i,SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK42_E @ SV8 ) @ SV478 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV478 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV478 @ ( sK43_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1175]) ).
thf(1199,plain,
! [SV479: $i,SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK44_E @ SV8 ) @ SV479 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV479 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV479 @ ( sK45_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1178]) ).
thf(1201,plain,
! [SV8: $i > $i > $o,SV468: $i] :
( ( ( in @ ( kpair @ SV468 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV468 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV468 ) @ sK2_SY650 )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1182]) ).
thf(1202,plain,
! [SV8: $i > $i > $o,SV469: $i] :
( ( ( in @ ( kpair @ SV469 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV469 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SV469 ) @ sK2_SY650 )
= $false )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1183]) ).
thf(1203,plain,
! [SV8: $i > $i > $o,SV481: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV481 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV481 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV481 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( sK47_SY979 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1184]) ).
thf(1204,plain,
! [SV8: $i > $i > $o,SV482: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV482 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV482 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV482 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ ( sK47_SY979 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1185]) ).
thf(1205,plain,
! [SV8: $i > $i > $o,SV480: $i] :
( ( ( ~ ~ ( ~ ( in @ SV480 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV480 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV480 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK47_SY979 @ SV8 ) @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1186]) ).
thf(1206,plain,
! [SV8: $i > $i > $o,SV470: $i] :
( ( ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV470 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( ~ ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1187]) ).
thf(1207,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK60_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK60_SY971 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK60_SY971 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( sK49_SY975 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1188]) ).
thf(1208,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK61_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK61_SY971 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK61_SY971 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ ( sK49_SY975 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1189]) ).
thf(1209,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK59_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK59_SY971 @ SV8 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK49_SY975 @ SV8 ) @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1190]) ).
thf(1210,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK59_SY971 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK49_SY975 @ SV8 ) @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1190]) ).
thf(1211,plain,
! [SV8: $i > $i > $o,SV471: $i] :
( ( ( in @ ( kpair @ SV471 @ ( sK31_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV471 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK30_E @ SV8 ) @ SV471 ) @ sK2_SY650 )
= $false )
| ( ( SV8 @ ( sK30_E @ SV8 ) @ ( sK31_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1191]) ).
thf(1212,plain,
! [SV8: $i > $i > $o,SV472: $i] :
( ( ( in @ ( kpair @ SV472 @ ( sK29_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV472 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK28_E @ SV8 ) @ SV472 ) @ sK2_SY650 )
= $false )
| ( ( SV8 @ ( sK28_E @ SV8 ) @ ( sK29_E @ SV8 ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SV8 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( cartprod @ sK1_A @ sK1_A )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1192]) ).
thf(1213,plain,
! [SV6: $i > $i > $o,SV473: $i] :
( ( ( in @ ( kpair @ SV473 @ ( sK33_E @ SV6 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV473 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK32_E @ SV6 ) @ SV473 ) @ sK2_SY650 )
= $false )
| ( ( SV6 @ ( sK32_E @ SV6 ) @ ( sK33_E @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1193]) ).
thf(1214,plain,
! [SV8: $i > $i > $o,SV474: $i] :
( ( ( in @ ( kpair @ SV474 @ ( sK35_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV474 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK34_E @ SV8 ) @ SV474 ) @ sK2_SY650 )
= $false )
| ( ( SV8 @ ( sK34_E @ SV8 ) @ ( sK35_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1194]) ).
thf(1215,plain,
! [SV8: $i > $i > $o,SV475: $i] :
( ( ( in @ ( kpair @ SV475 @ ( sK37_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV475 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK36_E @ SV8 ) @ SV475 ) @ sK2_SY650 )
= $false )
| ( ( SV8 @ ( sK36_E @ SV8 ) @ ( sK37_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1195]) ).
thf(1216,plain,
! [SV10: $i,SV8: $i > $i > $o,SV476: $i] :
( ( ( in @ ( kpair @ SV476 @ ( sK39_E @ SV8 @ SV10 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV476 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK38_E @ SV10 @ SV8 ) @ SV476 ) @ sK2_SY650 )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK38_E @ SV10 @ SV8 ) @ ( sK39_E @ SV8 @ SV10 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ SV10 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV10 @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1196]) ).
thf(1217,plain,
! [SV8: $i > $i > $o,SV477: $i] :
( ( ( in @ ( kpair @ SV477 @ ( sK41_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV477 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK40_E @ SV8 ) @ SV477 ) @ sK2_SY650 )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK40_E @ SV8 ) @ ( sK41_E @ SV8 ) )
= $false )
| ( ( in @ ( sK15_SY673 @ SV8 ) @ sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1197]) ).
thf(1218,plain,
! [SV8: $i > $i > $o,SV478: $i] :
( ( ( in @ ( kpair @ SV478 @ ( sK43_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV478 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK42_E @ SV8 ) @ SV478 ) @ sK2_SY650 )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK42_E @ SV8 ) @ ( sK43_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK11_E @ SV8 ) @ ( sK15_SY673 @ SV8 ) ) @ sK2_SY650 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1198]) ).
thf(1219,plain,
! [SV8: $i > $i > $o,SV479: $i] :
( ( ( in @ ( kpair @ SV479 @ ( sK45_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV479 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK44_E @ SV8 ) @ SV479 ) @ sK2_SY650 )
= $false )
| ( ( SV8 @ ( sK11_E @ SV8 ) @ ( sK12_E @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK44_E @ SV8 ) @ ( sK45_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK15_SY673 @ SV8 ) @ ( sK12_E @ SV8 ) ) @ sK3_SY652 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1199]) ).
thf(1220,plain,
! [SV469: $i,SV8: $i > $i > $o] :
( ( ( ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SV469 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV469 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV469 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1202]) ).
thf(1221,plain,
! [SV8: $i > $i > $o,SV481: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV481 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV481 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV481 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( sK47_SY979 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1203]) ).
thf(1222,plain,
! [SV8: $i > $i > $o,SV482: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV482 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV482 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV482 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ ( sK47_SY979 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1204]) ).
thf(1223,plain,
! [SV8: $i > $i > $o,SV480: $i] :
( ( ( ~ ( ~ ( in @ SV480 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV480 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV480 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK47_SY979 @ SV8 ) @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1205]) ).
thf(1224,plain,
! [SV470: $i,SV8: $i > $i > $o] :
( ( ( ! [SY971: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY971 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SY971 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY971 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV470 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1206]) ).
thf(1225,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK60_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK60_SY971 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK60_SY971 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( sK49_SY975 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1207]) ).
thf(1226,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK61_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK61_SY971 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK61_SY971 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ ( sK49_SY975 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1208]) ).
thf(1227,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK59_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK59_SY971 @ SV8 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK49_SY975 @ SV8 ) @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1209]) ).
thf(1228,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK59_SY971 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK49_SY975 @ SV8 ) @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1210]) ).
thf(1229,plain,
! [SV469: $i,SV8: $i > $i > $o,SV483: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ SV483 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV483 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV483 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SV469 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV469 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV469 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1220]) ).
thf(1230,plain,
! [SV8: $i > $i > $o,SV481: $i] :
( ( ( ~ ~ ( ~ ( in @ SV481 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV481 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV481 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( sK47_SY979 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1221]) ).
thf(1231,plain,
! [SV8: $i > $i > $o,SV482: $i] :
( ( ( ~ ~ ( ~ ( in @ SV482 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV482 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV482 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ ( sK47_SY979 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1222]) ).
thf(1232,plain,
! [SV8: $i > $i > $o,SV480: $i] :
( ( ( ~ ( in @ SV480 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV480 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV480 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK47_SY979 @ SV8 ) @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1223]) ).
thf(1233,plain,
! [SV8: $i > $i > $o,SV470: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK62_SY971 @ SV470 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK62_SY971 @ SV470 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK62_SY971 @ SV470 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV470 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1224]) ).
thf(1234,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK60_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK60_SY971 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK60_SY971 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( sK49_SY975 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1225]) ).
thf(1235,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK61_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK61_SY971 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK61_SY971 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ ( sK49_SY975 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1226]) ).
thf(1236,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK59_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK59_SY971 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK49_SY975 @ SV8 ) @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1227]) ).
thf(1237,plain,
! [SV469: $i,SV8: $i > $i > $o,SV483: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ SV483 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV483 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV483 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SV469 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV469 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV469 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1229]) ).
thf(1238,plain,
! [SV8: $i > $i > $o,SV481: $i] :
( ( ( ~ ~ ( ~ ( in @ SV481 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV481 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV481 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( sK47_SY979 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1230]) ).
thf(1239,plain,
! [SV8: $i > $i > $o,SV482: $i] :
( ( ( ~ ~ ( ~ ( in @ SV482 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV482 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV482 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ ( sK47_SY979 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1231]) ).
thf(1240,plain,
! [SV8: $i > $i > $o,SV480: $i] :
( ( ( ~ ( in @ SV480 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV480 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV480 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK47_SY979 @ SV8 ) @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1232]) ).
thf(1241,plain,
! [SV8: $i > $i > $o,SV470: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK62_SY971 @ SV470 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK62_SY971 @ SV470 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK62_SY971 @ SV470 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV470 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1233]) ).
thf(1242,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK60_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK60_SY971 @ SV8 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( sK49_SY975 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1234]) ).
thf(1243,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK60_SY971 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( sK49_SY975 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1234]) ).
thf(1244,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK61_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK61_SY971 @ SV8 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ ( sK49_SY975 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1235]) ).
thf(1245,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK61_SY971 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ ( sK49_SY975 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1235]) ).
thf(1246,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK59_SY971 @ SV8 ) @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK49_SY975 @ SV8 ) @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1236]) ).
thf(1247,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK59_SY971 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK49_SY975 @ SV8 ) @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1236]) ).
thf(1248,plain,
! [SV469: $i,SV8: $i > $i > $o,SV483: $i] :
( ( ( ~ ~ ( ~ ( in @ SV483 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV483 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SV483 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SV469 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV469 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV469 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1237]) ).
thf(1249,plain,
! [SV8: $i > $i > $o,SV481: $i] :
( ( ( ~ ( ~ ( in @ SV481 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV481 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV481 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( sK47_SY979 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1238]) ).
thf(1250,plain,
! [SV8: $i > $i > $o,SV482: $i] :
( ( ( ~ ( ~ ( in @ SV482 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV482 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV482 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ ( sK47_SY979 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1239]) ).
thf(1251,plain,
! [SV8: $i > $i > $o,SV480: $i] :
( ( ( in @ SV480 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV480 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV480 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK47_SY979 @ SV8 ) @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1240]) ).
thf(1252,plain,
! [SV8: $i > $i > $o,SV470: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK62_SY971 @ SV470 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK62_SY971 @ SV470 @ SV8 ) ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ ( sK62_SY971 @ SV470 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV470 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1241]) ).
thf(1253,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK60_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK60_SY971 @ SV8 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( sK49_SY975 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1242]) ).
thf(1254,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK60_SY971 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( sK49_SY975 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1243]) ).
thf(1255,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK61_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK61_SY971 @ SV8 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ ( sK49_SY975 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1244]) ).
thf(1256,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK61_SY971 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ ( sK49_SY975 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1245]) ).
thf(1257,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( sK59_SY971 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK49_SY975 @ SV8 ) @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1246]) ).
thf(1258,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK59_SY971 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK49_SY975 @ SV8 ) @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1247]) ).
thf(1259,plain,
! [SV469: $i,SV8: $i > $i > $o,SV483: $i] :
( ( ( ~ ~ ( ~ ( in @ SV483 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV483 ) @ sK2_SY650 ) ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV483 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SV469 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV469 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV469 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1248]) ).
thf(1260,plain,
! [SV8: $i > $i > $o,SV481: $i] :
( ( ( ~ ( in @ SV481 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV481 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV481 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( sK47_SY979 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1249]) ).
thf(1261,plain,
! [SV8: $i > $i > $o,SV482: $i] :
( ( ( ~ ( in @ SV482 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV482 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV482 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ ( sK47_SY979 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1250]) ).
thf(1262,plain,
! [SV480: $i,SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV480 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV480 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV480 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK47_SY979 @ SV8 ) @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1251]) ).
thf(1263,plain,
! [SV8: $i > $i > $o,SV470: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK62_SY971 @ SV470 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK62_SY971 @ SV470 @ SV8 ) ) @ sK2_SY650 ) ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV470 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1252]) ).
thf(1264,plain,
! [SV8: $i > $i > $o,SV470: $i] :
( ( ( ~ ( in @ ( kpair @ ( sK62_SY971 @ SV470 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV470 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1252]) ).
thf(1265,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK60_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK60_SY971 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( sK49_SY975 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1253]) ).
thf(1266,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK61_SY971 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK61_SY971 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ ( sK49_SY975 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1255]) ).
thf(1267,plain,
! [SV469: $i,SV8: $i > $i > $o,SV483: $i] :
( ( ( ~ ( ~ ( in @ SV483 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV483 ) @ sK2_SY650 ) ) )
= $false )
| ( ( ~ ( in @ ( kpair @ SV483 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SV469 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV469 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV469 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1259]) ).
thf(1268,plain,
! [SV8: $i > $i > $o,SV481: $i] :
( ( ( ~ ( in @ SV481 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV481 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV481 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( sK47_SY979 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1260]) ).
thf(1269,plain,
! [SV8: $i > $i > $o,SV482: $i] :
( ( ( ~ ( in @ SV482 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV482 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV482 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ ( sK47_SY979 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1261]) ).
thf(1270,plain,
! [SV8: $i > $i > $o,SV480: $i] :
( ( ( in @ ( kpair @ SV480 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV480 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV480 ) @ sK2_SY650 )
= $false )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK47_SY979 @ SV8 ) @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1262]) ).
thf(1271,plain,
! [SV8: $i > $i > $o,SV470: $i] :
( ( ( ~ ( ~ ( in @ ( sK62_SY971 @ SV470 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK62_SY971 @ SV470 @ SV8 ) ) @ sK2_SY650 ) ) )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV470 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1263]) ).
thf(1272,plain,
! [SV8: $i > $i > $o,SV470: $i] :
( ( ( in @ ( kpair @ ( sK62_SY971 @ SV470 @ SV8 ) @ ( sK23_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV470 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1264]) ).
thf(1273,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK60_SY971 @ SV8 ) @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( sK49_SY975 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1265]) ).
thf(1274,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK60_SY971 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( sK49_SY975 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1265]) ).
thf(1275,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( sK61_SY971 @ SV8 ) @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ ( sK49_SY975 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1266]) ).
thf(1276,plain,
! [SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK61_SY971 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ ( sK49_SY975 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1266]) ).
thf(1277,plain,
! [SV469: $i,SV8: $i > $i > $o,SV483: $i] :
( ( ( ~ ( in @ SV483 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV483 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV483 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SV469 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV469 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV469 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1267]) ).
thf(1278,plain,
! [SV8: $i > $i > $o,SV481: $i] :
( ( ( in @ SV481 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV481 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV481 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( sK47_SY979 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1268]) ).
thf(1279,plain,
! [SV8: $i > $i > $o,SV482: $i] :
( ( ( in @ SV482 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV482 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV482 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ ( sK47_SY979 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1269]) ).
thf(1280,plain,
! [SV8: $i > $i > $o,SV470: $i] :
( ( ( ~ ( in @ ( sK62_SY971 @ SV470 @ SV8 ) @ sK1_A )
| ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK62_SY971 @ SV470 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV470 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1281,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( sK60_SY971 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( sK49_SY975 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1273]) ).
thf(1282,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK60_SY971 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( sK49_SY975 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1274]) ).
thf(1283,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( sK61_SY971 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ ( sK49_SY975 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1275]) ).
thf(1284,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK61_SY971 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ ( sK49_SY975 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1276]) ).
thf(1285,plain,
! [SV469: $i,SV8: $i > $i > $o,SV483: $i] :
( ( ( ~ ( in @ SV483 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV483 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV483 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SV469 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV469 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV469 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1277]) ).
thf(1286,plain,
! [SV481: $i,SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV481 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV481 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV481 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( sK47_SY979 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1278]) ).
thf(1287,plain,
! [SV482: $i,SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV482 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV482 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV482 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ ( sK47_SY979 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1279]) ).
thf(1288,plain,
! [SV8: $i > $i > $o,SV470: $i] :
( ( ( ~ ( in @ ( sK62_SY971 @ SV470 @ SV8 ) @ sK1_A ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV470 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1280]) ).
thf(1289,plain,
! [SV470: $i,SV8: $i > $i > $o] :
( ( ( ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK62_SY971 @ SV470 @ SV8 ) ) @ sK2_SY650 ) )
= $false )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV470 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1280]) ).
thf(1290,plain,
! [SV469: $i,SV8: $i > $i > $o,SV483: $i] :
( ( ( in @ SV483 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV483 ) @ sK2_SY650 ) )
= $true )
| ( ( ~ ( in @ ( kpair @ SV483 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SV469 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV469 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV469 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1285]) ).
thf(1291,plain,
! [SV8: $i > $i > $o,SV481: $i] :
( ( ( in @ ( kpair @ SV481 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV481 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV481 ) @ sK2_SY650 )
= $false )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( sK47_SY979 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1286]) ).
thf(1292,plain,
! [SV8: $i > $i > $o,SV482: $i] :
( ( ( in @ ( kpair @ SV482 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV482 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV482 ) @ sK2_SY650 )
= $false )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $true )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ ( sK47_SY979 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1287]) ).
thf(1293,plain,
! [SV8: $i > $i > $o,SV470: $i] :
( ( ( in @ ( sK62_SY971 @ SV470 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV470 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1288]) ).
thf(1294,plain,
! [SV470: $i,SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK22_E @ SV8 ) @ ( sK62_SY971 @ SV470 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK24_E @ SV8 ) @ ( sK25_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK24_E @ SV8 ) @ SV470 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV470 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV470 @ ( sK25_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1289]) ).
thf(1295,plain,
! [SV469: $i,SV483: $i,SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV483 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV483 @ sK1_A )
= $false )
| ( ( ~ ( in @ ( kpair @ SV483 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 ) )
= $true )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SV469 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV469 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV469 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1290]) ).
thf(1296,plain,
! [SV469: $i,SV8: $i > $i > $o,SV483: $i] :
( ( ( in @ ( kpair @ SV483 @ ( sK23_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( in @ SV483 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ ( sK22_E @ SV8 ) @ SV483 ) @ sK2_SY650 )
= $false )
| ( ( SV8 @ ( sK26_E @ SV8 ) @ ( sK27_E @ SV8 ) )
= $false )
| ( ( in @ ( kpair @ ( sK26_E @ SV8 ) @ SV469 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV469 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV469 @ ( sK27_E @ SV8 ) ) @ sK3_SY652 )
= $false )
| ( ( SV8 @ ( sK22_E @ SV8 ) @ ( sK23_E @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1295]) ).
thf(1297,plain,
! [SV427: $i > $i > $o] :
( ( ( SV427
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) )
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK9_SY665
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) )
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(1299,plain,
! [SV427: $i > $i > $o] :
( ( ( SV427
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) )
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( sK9_SY665
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) )
@ sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(1301,plain,
! [SV427: $i > $i > $o] :
( ( ( SV427
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) )
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) )
@ ( sK9_SY665
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(1303,plain,
! [SV7: $i,SV427: $i > $i > $o] :
( ( ( SV427
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) )
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) )
@ SV7 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV7 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV7
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV427 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(1304,plain,
! [SV7: $i] :
( ( ( ( sK7_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK8_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV7 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV7 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV7
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(1309,plain,
! [SV418: $i > $i > $o] :
( ( ( SV418
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK19_SY677
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(1319,plain,
! [SV418: $i > $i > $o] :
( ( ( SV418
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( sK19_SY677
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(1321,plain,
! [SV418: $i > $i > $o] :
( ( ( SV418
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK19_SY677
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(1327,plain,
! [SV14: $i,SV418: $i > $i > $o] :
( ( ( SV418
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ SV14 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV14 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV14
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[455]) ).
thf(1328,plain,
! [SV14: $i] :
( ( ( ( sK13_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK14_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV14 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV14 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV14
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[456]) ).
thf(1329,plain,
! [SV10: $i,SV418: $i > $i > $o] :
( ( ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ SV10 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV10
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(1330,plain,
! [SV10: $i] :
( ( ( ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV10 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV10
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(1331,plain,
! [SV418: $i > $i > $o] :
( ( ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(1333,plain,
! [SV418: $i > $i > $o] :
( ( ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(1335,plain,
! [SV418: $i > $i > $o] :
( ( ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(1337,plain,
! [SV409: $i > $i > $o] :
( ( ( SV409
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(1339,plain,
! [SV400: $i > $i > $o] :
( ( ( SV400
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV400 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV400 @ SX0 @ SX1 ) ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV400 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV400 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[485]) ).
thf(1340,plain,
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) ) )
@ sK3_SY652 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[486]) ).
thf(1341,plain,
! [SV391: $i > $i > $o] :
( ( ( SV391
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV391 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV391 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV391 @ SX0 @ SX1 ) )
@ sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(1343,plain,
! [SV382: $i > $i > $o] :
( ( ( SV382
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) ) )
= $true )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) )
@ sK1_A )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[495]) ).
thf(1344,plain,
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) ) )
= $true )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) )
@ sK1_A )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(1345,plain,
! [SV373: $i > $i > $o] :
( ( ( SV373
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(1347,plain,
! [SV364: $i > $i > $o] :
( ( ( SV364
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV364 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV364 @ SX0 @ SX1 ) ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV364 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV364 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[505]) ).
thf(1348,plain,
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( ( SX0 != SX1 ) ) ) )
@ sK2_SY650 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[506]) ).
thf(1349,plain,
! [SV262: $i,SV355: $i > $i > $o] :
( ( ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ SV262 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(1350,plain,
! [SV262: $i] :
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV262 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(1351,plain,
! [SV15: $i > $i > $o,SV355: $i > $i > $o] :
( ( ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK6_SY661 @ SV15 ) )
@ sK2_SY650 )
= $false )
| ( ( in @ ( sK6_SY661 @ SV15 ) @ sK1_A )
= $false )
| ( ( ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
= ( sK5_E @ SV15 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[515]) ).
thf(1352,plain,
! [SV15: $i > $i > $o] :
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true )
| ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ ( sK6_SY661 @ SV15 ) )
@ sK2_SY650 )
= $false )
| ( ( in @ ( sK6_SY661 @ SV15 ) @ sK1_A )
= $false )
| ( ( ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK5_E @ SV15 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[516]) ).
thf(1353,plain,
! [SV261: $i > $i > $o,SV409: $i > $i > $o] :
( ( ( SV409
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in
@ ( kpair @ ( sK4_E @ SV261 )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ sK1_A )
= $false )
| ( ( ( sK5_E @ SV261 )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(1355,plain,
! [SV262: $i,SV15: $i > $i > $o,SV355: $i > $i > $o] :
( ( ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ SV262 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
= ( kpair @ ( sK6_SY661 @ SV15 ) @ ( sK5_E @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(1356,plain,
! [SV262: $i,SV15: $i > $i > $o] :
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true )
| ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV262 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= ( kpair @ ( sK6_SY661 @ SV15 ) @ ( sK5_E @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[526]) ).
thf(1357,plain,
! [SV262: $i,SV261: $i > $i > $o,SV409: $i > $i > $o] :
( ( ( SV409
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in @ ( kpair @ ( sK4_E @ SV261 ) @ SV262 ) @ sK2_SY650 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( ( kpair @ SV262 @ ( sK5_E @ SV261 ) )
= ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(1375,plain,
! [SV97: $i > $i > $o,SV355: $i > $i > $o] :
( ( ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK6_SY661 @ SV97 ) )
@ sK2_SY650 )
= $false )
| ( ( in
@ ( kpair @ ( sK6_SY661 @ SV97 )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[575]) ).
thf(1376,plain,
! [SV97: $i > $i > $o] :
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true )
| ( ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ ( sK6_SY661 @ SV97 ) )
@ sK2_SY650 )
= $false )
| ( ( in
@ ( kpair @ ( sK6_SY661 @ SV97 )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[576]) ).
thf(1377,plain,
! [SV261: $i > $i > $o,SV391: $i > $i > $o] :
( ( ( SV391
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV391 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV391 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in
@ ( kpair @ ( sK4_E @ SV261 )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV391 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $false )
| ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV391 @ SX0 @ SX1 ) )
@ ( sK5_E @ SV261 ) )
@ sK3_SY652 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(1395,plain,
! [SV179: $i > $i > $o,SV355: $i > $i > $o] :
( ( ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true )
| ( ( in @ ( sK6_SY661 @ SV179 ) @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ ( sK6_SY661 @ SV179 )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
= ( sK4_E @ SV179 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[625]) ).
thf(1396,plain,
! [SV179: $i > $i > $o] :
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true )
| ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true )
| ( ( in @ ( sK6_SY661 @ SV179 ) @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ ( sK6_SY661 @ SV179 )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK4_E @ SV179 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(1397,plain,
! [SV261: $i > $i > $o,SV373: $i > $i > $o] :
( ( ( SV373
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ ( sK5_E @ SV261 ) )
@ sK3_SY652 )
= $false )
| ( ( ( sK4_E @ SV261 )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(1399,plain,
! [SV262: $i,SV179: $i > $i > $o,SV355: $i > $i > $o] :
( ( ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ SV262 )
= ( kpair @ ( sK4_E @ SV179 ) @ ( sK6_SY661 @ SV179 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(1400,plain,
! [SV262: $i,SV179: $i > $i > $o] :
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true )
| ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV262 )
= ( kpair @ ( sK4_E @ SV179 ) @ ( sK6_SY661 @ SV179 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[636]) ).
thf(1401,plain,
! [SV262: $i,SV261: $i > $i > $o,SV373: $i > $i > $o] :
( ( ( SV373
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in @ ( kpair @ SV262 @ ( sK5_E @ SV261 ) ) @ sK3_SY652 )
= $false )
| ( ( ( kpair @ ( sK4_E @ SV261 ) @ SV262 )
= ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(1403,plain,
! [SV262: $i,SV346: $i > $i > $o] :
( ( ( SV346
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV346 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV346 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV346 @ SX0 @ SX1 ) )
@ SV262 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV346 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(1406,plain,
( ( ( ~ ! [SY1031: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1031 @ sK1_A )
| ~ ( in @ ( kpair @ sK63_E @ SY1031 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1031 @ sK64_E ) @ sK3_SY652 ) ) )
= $false )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[363]) ).
thf(1407,plain,
( ( ( ~ ! [SY1035: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1035 @ sK1_A )
| ~ ( in @ ( kpair @ sK65_E @ SY1035 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1035 @ sK66_E ) @ sK3_SY652 ) ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[364]) ).
thf(1409,plain,
! [SV427: $i > $i > $o] :
( ( ( ! [SY1039: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1039 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK67_E @ SV427 ) @ SY1039 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1039 @ ( sK68_E @ SV427 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV427 @ ( sK67_E @ SV427 ) @ ( sK68_E @ SV427 ) )
= $true ) ),
inference(extuni,[status(esa)],[365]) ).
thf(1410,plain,
! [SV427: $i > $i > $o] :
( ( ( ! [SY1039: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1039 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK67_E @ SV427 ) @ SY1039 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1039 @ ( sK68_E @ SV427 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV427 @ ( sK67_E @ SV427 ) @ ( sK68_E @ SV427 ) )
= $false ) ),
inference(extuni,[status(esa)],[365]) ).
thf(1411,plain,
! [SV427: $i > $i > $o] :
( ( ( ~ ! [SY1039: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1039 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK67_E @ SV427 ) @ SY1039 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1039 @ ( sK68_E @ SV427 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( ~ ( SV427 @ ( sK67_E @ SV427 ) @ ( sK68_E @ SV427 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[365]) ).
thf(1412,plain,
! [SV427: $i > $i > $o] :
( ( ( ~ ! [SY1039: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1039 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK67_E @ SV427 ) @ SY1039 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1039 @ ( sK68_E @ SV427 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( ~ ( SV427 @ ( sK67_E @ SV427 ) @ ( sK68_E @ SV427 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[365]) ).
thf(1413,plain,
( ( ( ! [SY1043: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1043 @ sK1_A )
| ~ ( in @ ( kpair @ sK69_E @ SY1043 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1043 @ sK70_E ) @ sK3_SY652 ) ) )
= $true )
| ( ( sK69_E = sK70_E )
= $true ) ),
inference(extuni,[status(esa)],[366]) ).
thf(1414,plain,
( ( ( ! [SY1043: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1043 @ sK1_A )
| ~ ( in @ ( kpair @ sK69_E @ SY1043 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1043 @ sK70_E ) @ sK3_SY652 ) ) )
= $false )
| ( ( sK69_E = sK70_E )
= $false ) ),
inference(extuni,[status(esa)],[366]) ).
thf(1415,plain,
( ( ( ~ ! [SY1043: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1043 @ sK1_A )
| ~ ( in @ ( kpair @ sK69_E @ SY1043 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1043 @ sK70_E ) @ sK3_SY652 ) ) )
= $true )
| ( ( ( sK69_E != sK70_E ) )
= $true ) ),
inference(extuni,[status(esa)],[366]) ).
thf(1416,plain,
( ( ( ~ ! [SY1043: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1043 @ sK1_A )
| ~ ( in @ ( kpair @ sK69_E @ SY1043 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1043 @ sK70_E ) @ sK3_SY652 ) ) )
= $false )
| ( ( ( sK69_E != sK70_E ) )
= $false ) ),
inference(extuni,[status(esa)],[366]) ).
thf(1417,plain,
( ( ( ~ ! [SY1047: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1047 @ sK1_A )
| ~ ( in @ ( kpair @ sK71_E @ SY1047 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1047 @ sK72_E ) @ sK3_SY652 ) ) )
= $true )
| ( ( sK71_E = sK72_E )
= $true ) ),
inference(extuni,[status(esa)],[367]) ).
thf(1418,plain,
( ( ( ~ ! [SY1047: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1047 @ sK1_A )
| ~ ( in @ ( kpair @ sK71_E @ SY1047 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1047 @ sK72_E ) @ sK3_SY652 ) ) )
= $false )
| ( ( sK71_E = sK72_E )
= $false ) ),
inference(extuni,[status(esa)],[367]) ).
thf(1420,plain,
( ( ( ~ ! [SY1051: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1051 @ sK1_A )
| ~ ( in @ ( kpair @ sK73_E @ SY1051 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1051 @ sK74_E ) @ sK3_SY652 ) ) )
= $false )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[388:[bind(SV9,$thf( sK1_A ))]]) ).
thf(1421,plain,
( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : $true ) )
= $false ),
inference(extuni,[status(esa)],[388:[bind(SV9,$thf( sK1_A ))]]) ).
thf(1422,plain,
( ( ( ~ ! [SY1055: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1055 @ sK1_A )
| ~ ( in @ ( kpair @ sK75_E @ SY1055 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1055 @ sK76_E ) @ sK3_SY652 ) ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[389:[bind(SV9,$thf( sK1_A ))]]) ).
thf(1424,plain,
( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : $false ) )
= $false ),
inference(extuni,[status(esa)],[389:[bind(SV9,$thf( sK1_A ))]]) ).
thf(1425,plain,
! [SV418: $i > $i > $o] :
( ( ( ! [SY1059: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1059 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK77_E @ SV418 ) @ SY1059 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1059 @ ( sK78_E @ SV418 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV418 @ ( sK77_E @ SV418 ) @ ( sK78_E @ SV418 ) )
= $true ) ),
inference(extuni,[status(esa)],[390:[bind(SV9,$thf( sK1_A ))]]) ).
thf(1426,plain,
! [SV418: $i > $i > $o] :
( ( ( ! [SY1059: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1059 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK77_E @ SV418 ) @ SY1059 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1059 @ ( sK78_E @ SV418 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV418 @ ( sK77_E @ SV418 ) @ ( sK78_E @ SV418 ) )
= $false ) ),
inference(extuni,[status(esa)],[390:[bind(SV9,$thf( sK1_A ))]]) ).
thf(1427,plain,
! [SV418: $i > $i > $o] :
( ( ( ~ ! [SY1059: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1059 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK77_E @ SV418 ) @ SY1059 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1059 @ ( sK78_E @ SV418 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( ~ ( SV418 @ ( sK77_E @ SV418 ) @ ( sK78_E @ SV418 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[390:[bind(SV9,$thf( sK1_A ))]]) ).
thf(1428,plain,
! [SV418: $i > $i > $o] :
( ( ( ~ ! [SY1059: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1059 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK77_E @ SV418 ) @ SY1059 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1059 @ ( sK78_E @ SV418 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( ~ ( SV418 @ ( sK77_E @ SV418 ) @ ( sK78_E @ SV418 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[390:[bind(SV9,$thf( sK1_A ))]]) ).
thf(1429,plain,
! [SV418: $i > $i > $o] :
( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false ),
inference(extuni,[status(esa)],[390:[bind(SV9,$thf( sK1_A ))]]) ).
thf(1430,plain,
( ( ( ! [SY1063: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1063 @ sK1_A )
| ~ ( in @ ( kpair @ sK79_E @ SY1063 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1063 @ sK80_E ) @ sK3_SY652 ) ) )
= $true )
| ( ( sK79_E = sK80_E )
= $true ) ),
inference(extuni,[status(esa)],[391:[bind(SV9,$thf( sK1_A ))]]) ).
thf(1431,plain,
( ( ( ! [SY1063: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1063 @ sK1_A )
| ~ ( in @ ( kpair @ sK79_E @ SY1063 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1063 @ sK80_E ) @ sK3_SY652 ) ) )
= $false )
| ( ( sK79_E = sK80_E )
= $false ) ),
inference(extuni,[status(esa)],[391:[bind(SV9,$thf( sK1_A ))]]) ).
thf(1432,plain,
( ( ( ~ ! [SY1063: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1063 @ sK1_A )
| ~ ( in @ ( kpair @ sK79_E @ SY1063 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1063 @ sK80_E ) @ sK3_SY652 ) ) )
= $true )
| ( ( ( sK79_E != sK80_E ) )
= $true ) ),
inference(extuni,[status(esa)],[391:[bind(SV9,$thf( sK1_A ))]]) ).
thf(1433,plain,
( ( ( ~ ! [SY1063: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1063 @ sK1_A )
| ~ ( in @ ( kpair @ sK79_E @ SY1063 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1063 @ sK80_E ) @ sK3_SY652 ) ) )
= $false )
| ( ( ( sK79_E != sK80_E ) )
= $false ) ),
inference(extuni,[status(esa)],[391:[bind(SV9,$thf( sK1_A ))]]) ).
thf(1434,plain,
( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $false ),
inference(extuni,[status(esa)],[391:[bind(SV9,$thf( sK1_A ))]]) ).
thf(1435,plain,
( ( ( ~ ! [SY1067: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1067 @ sK1_A )
| ~ ( in @ ( kpair @ sK81_E @ SY1067 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1067 @ sK82_E ) @ sK3_SY652 ) ) )
= $true )
| ( ( sK81_E = sK82_E )
= $true ) ),
inference(extuni,[status(esa)],[392:[bind(SV9,$thf( sK1_A ))]]) ).
thf(1436,plain,
( ( ( ~ ! [SY1067: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1067 @ sK1_A )
| ~ ( in @ ( kpair @ sK81_E @ SY1067 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1067 @ sK82_E ) @ sK3_SY652 ) ) )
= $false )
| ( ( sK81_E = sK82_E )
= $false ) ),
inference(extuni,[status(esa)],[392:[bind(SV9,$thf( sK1_A ))]]) ).
thf(1437,plain,
( ( ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SX2 @ sK1_A )
| ~ ( in @ ( kpair @ SX0 @ SX2 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SX2 @ SX1 ) @ sK3_SY652 ) ) )
= ( dpsetconstr @ sK1_A @ sK1_A
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false ),
inference(extuni,[status(esa)],[392:[bind(SV9,$thf( sK1_A ))]]) ).
thf(1439,plain,
( ( ( ~ ! [SY1071: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1071 @ sK1_A )
| ~ ( in @ ( kpair @ sK83_E @ SY1071 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1071 @ sK84_E ) @ sK3_SY652 ) ) )
= $false )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[393]) ).
thf(1440,plain,
( ( ( ~ ! [SY1075: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1075 @ sK1_A )
| ~ ( in @ ( kpair @ sK85_E @ SY1075 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1075 @ sK86_E ) @ sK3_SY652 ) ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[394]) ).
thf(1442,plain,
! [SV418: $i > $i > $o] :
( ( ( ! [SY1079: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1079 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK87_E @ SV418 ) @ SY1079 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1079 @ ( sK88_E @ SV418 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV418 @ ( sK87_E @ SV418 ) @ ( sK88_E @ SV418 ) )
= $true ) ),
inference(extuni,[status(esa)],[395]) ).
thf(1443,plain,
! [SV418: $i > $i > $o] :
( ( ( ! [SY1079: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1079 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK87_E @ SV418 ) @ SY1079 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1079 @ ( sK88_E @ SV418 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV418 @ ( sK87_E @ SV418 ) @ ( sK88_E @ SV418 ) )
= $false ) ),
inference(extuni,[status(esa)],[395]) ).
thf(1444,plain,
! [SV418: $i > $i > $o] :
( ( ( ~ ! [SY1079: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1079 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK87_E @ SV418 ) @ SY1079 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1079 @ ( sK88_E @ SV418 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( ~ ( SV418 @ ( sK87_E @ SV418 ) @ ( sK88_E @ SV418 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[395]) ).
thf(1445,plain,
! [SV418: $i > $i > $o] :
( ( ( ~ ! [SY1079: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1079 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK87_E @ SV418 ) @ SY1079 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1079 @ ( sK88_E @ SV418 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( ~ ( SV418 @ ( sK87_E @ SV418 ) @ ( sK88_E @ SV418 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[395]) ).
thf(1446,plain,
( ( ( ! [SY1083: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1083 @ sK1_A )
| ~ ( in @ ( kpair @ sK89_E @ SY1083 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1083 @ sK90_E ) @ sK3_SY652 ) ) )
= $true )
| ( ( sK89_E = sK90_E )
= $true ) ),
inference(extuni,[status(esa)],[396]) ).
thf(1447,plain,
( ( ( ! [SY1083: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1083 @ sK1_A )
| ~ ( in @ ( kpair @ sK89_E @ SY1083 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1083 @ sK90_E ) @ sK3_SY652 ) ) )
= $false )
| ( ( sK89_E = sK90_E )
= $false ) ),
inference(extuni,[status(esa)],[396]) ).
thf(1448,plain,
( ( ( ~ ! [SY1083: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1083 @ sK1_A )
| ~ ( in @ ( kpair @ sK89_E @ SY1083 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1083 @ sK90_E ) @ sK3_SY652 ) ) )
= $true )
| ( ( ( sK89_E != sK90_E ) )
= $true ) ),
inference(extuni,[status(esa)],[396]) ).
thf(1449,plain,
( ( ( ~ ! [SY1083: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1083 @ sK1_A )
| ~ ( in @ ( kpair @ sK89_E @ SY1083 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1083 @ sK90_E ) @ sK3_SY652 ) ) )
= $false )
| ( ( ( sK89_E != sK90_E ) )
= $false ) ),
inference(extuni,[status(esa)],[396]) ).
thf(1450,plain,
( ( ( ~ ! [SY1087: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1087 @ sK1_A )
| ~ ( in @ ( kpair @ sK91_E @ SY1087 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1087 @ sK92_E ) @ sK3_SY652 ) ) )
= $true )
| ( ( sK91_E = sK92_E )
= $true ) ),
inference(extuni,[status(esa)],[397]) ).
thf(1451,plain,
( ( ( ~ ! [SY1087: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1087 @ sK1_A )
| ~ ( in @ ( kpair @ sK91_E @ SY1087 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1087 @ sK92_E ) @ sK3_SY652 ) ) )
= $false )
| ( ( sK91_E = sK92_E )
= $false ) ),
inference(extuni,[status(esa)],[397]) ).
thf(1453,plain,
! [SV10: $i] :
( ( $true = $false )
| ( ( ~ ! [SY1091: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1091 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK93_E @ SV10 ) @ SY1091 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1091 @ ( sK94_E @ SV10 ) ) @ sK3_SY652 ) ) )
= $false )
| ( $true = $false )
| ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] : $true )
@ SV10 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV10
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] : $true ) )
@ sK3_SY652 )
= $false ) ),
inference(extuni,[status(esa)],[458]) ).
thf(1456,plain,
! [SV418: $i > $i > $o,SV10: $i] :
( ( ( in
@ ( kpair @ SV10
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ SV10 )
@ sK2_SY650 )
= $false )
| ( ( ! [SY1099: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1099 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK97_E @ SV10 @ SV418 ) @ SY1099 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1099 @ ( sK98_E @ SV418 @ SV10 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV418 @ ( sK97_E @ SV10 @ SV418 ) @ ( sK98_E @ SV418 @ SV10 ) )
= $true )
| ( ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1329]) ).
thf(1457,plain,
! [SV418: $i > $i > $o,SV10: $i] :
( ( ( in
@ ( kpair @ SV10
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ SV10 )
@ sK2_SY650 )
= $false )
| ( ( ! [SY1099: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1099 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK97_E @ SV10 @ SV418 ) @ SY1099 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1099 @ ( sK98_E @ SV418 @ SV10 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV418 @ ( sK97_E @ SV10 @ SV418 ) @ ( sK98_E @ SV418 @ SV10 ) )
= $false )
| ( ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1329]) ).
thf(1458,plain,
! [SV418: $i > $i > $o,SV10: $i] :
( ( ( in
@ ( kpair @ SV10
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ SV10 )
@ sK2_SY650 )
= $false )
| ( ( ~ ! [SY1099: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1099 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK97_E @ SV10 @ SV418 ) @ SY1099 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1099 @ ( sK98_E @ SV418 @ SV10 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( ~ ( SV418 @ ( sK97_E @ SV10 @ SV418 ) @ ( sK98_E @ SV418 @ SV10 ) ) )
= $true )
| ( ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1329]) ).
thf(1459,plain,
! [SV418: $i > $i > $o,SV10: $i] :
( ( ( in
@ ( kpair @ SV10
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ SV10 )
@ sK2_SY650 )
= $false )
| ( ( ~ ! [SY1099: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1099 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK97_E @ SV10 @ SV418 ) @ SY1099 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1099 @ ( sK98_E @ SV418 @ SV10 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( ~ ( SV418 @ ( sK97_E @ SV10 @ SV418 ) @ ( sK98_E @ SV418 @ SV10 ) ) )
= $false )
| ( ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1329]) ).
thf(1460,plain,
! [SV10: $i] :
( ( ( in
@ ( kpair @ SV10
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV10 )
@ sK2_SY650 )
= $false )
| ( ( ! [SY1103: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1103 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK99_E @ SV10 ) @ SY1103 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1103 @ ( sK100_E @ SV10 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( ( sK99_E @ SV10 )
= ( sK100_E @ SV10 ) )
= $true )
| ( ( ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1330]) ).
thf(1461,plain,
! [SV10: $i] :
( ( ( in
@ ( kpair @ SV10
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV10 )
@ sK2_SY650 )
= $false )
| ( ( ! [SY1103: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1103 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK99_E @ SV10 ) @ SY1103 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1103 @ ( sK100_E @ SV10 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( ( sK99_E @ SV10 )
= ( sK100_E @ SV10 ) )
= $false )
| ( ( ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1330]) ).
thf(1462,plain,
! [SV10: $i] :
( ( ( in
@ ( kpair @ SV10
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV10 )
@ sK2_SY650 )
= $false )
| ( ( ~ ! [SY1103: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1103 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK99_E @ SV10 ) @ SY1103 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1103 @ ( sK100_E @ SV10 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( ( ( sK99_E @ SV10 )
!= ( sK100_E @ SV10 ) ) )
= $true )
| ( ( ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1330]) ).
thf(1463,plain,
! [SV10: $i] :
( ( ( in
@ ( kpair @ SV10
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ SV10 )
@ sK2_SY650 )
= $false )
| ( ( ~ ! [SY1103: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1103 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK99_E @ SV10 ) @ SY1103 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1103 @ ( sK100_E @ SV10 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( ( ( sK99_E @ SV10 )
!= ( sK100_E @ SV10 ) ) )
= $false )
| ( ( ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1330]) ).
thf(1466,plain,
( ( $false = $true )
| ( ( ~ ! [SY1115: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1115 @ sK1_A )
| ~ ( in @ ( kpair @ sK105_E @ SY1115 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1115 @ sK106_E ) @ sK3_SY652 ) ) )
= $true )
| ( $false = $true )
| ( ( in
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK1_A )
= $true ) ),
inference(extuni,[status(esa)],[464]) ).
thf(1468,plain,
! [SV418: $i > $i > $o] :
( ( ( in
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ sK1_A )
= $true )
| ( ( ! [SY1119: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1119 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK107_E @ SV418 ) @ SY1119 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1119 @ ( sK108_E @ SV418 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV418 @ ( sK107_E @ SV418 ) @ ( sK108_E @ SV418 ) )
= $true )
| ( ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1331]) ).
thf(1469,plain,
! [SV418: $i > $i > $o] :
( ( ( in
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ sK1_A )
= $true )
| ( ( ! [SY1119: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1119 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK107_E @ SV418 ) @ SY1119 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1119 @ ( sK108_E @ SV418 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV418 @ ( sK107_E @ SV418 ) @ ( sK108_E @ SV418 ) )
= $false )
| ( ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1331]) ).
thf(1470,plain,
! [SV418: $i > $i > $o] :
( ( ( in
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ sK1_A )
= $true )
| ( ( ~ ! [SY1119: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1119 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK107_E @ SV418 ) @ SY1119 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1119 @ ( sK108_E @ SV418 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( ~ ( SV418 @ ( sK107_E @ SV418 ) @ ( sK108_E @ SV418 ) ) )
= $true )
| ( ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1331]) ).
thf(1471,plain,
! [SV418: $i > $i > $o] :
( ( ( in
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ sK1_A )
= $true )
| ( ( ~ ! [SY1119: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1119 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK107_E @ SV418 ) @ SY1119 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1119 @ ( sK108_E @ SV418 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( ~ ( SV418 @ ( sK107_E @ SV418 ) @ ( sK108_E @ SV418 ) ) )
= $false )
| ( ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1331]) ).
thf(1472,plain,
( ( ( ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ~ ! [SY1123: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1123 @ sK1_A )
| ~ ( in @ ( kpair @ sK109_E @ SY1123 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1123 @ sK110_E ) @ sK3_SY652 ) ) )
= $true )
| ( ( sK109_E = sK110_E )
= $true )
| ( ( in
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK1_A )
= $true ) ),
inference(extuni,[status(esa)],[467]) ).
thf(1473,plain,
( ( ( ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ~ ! [SY1123: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1123 @ sK1_A )
| ~ ( in @ ( kpair @ sK109_E @ SY1123 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1123 @ sK110_E ) @ sK3_SY652 ) ) )
= $false )
| ( ( sK109_E = sK110_E )
= $false )
| ( ( in
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK1_A )
= $true ) ),
inference(extuni,[status(esa)],[467]) ).
thf(1476,plain,
( ( $false = $true )
| ( ( ~ ! [SY1131: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1131 @ sK1_A )
| ~ ( in @ ( kpair @ sK113_E @ SY1131 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1131 @ sK114_E ) @ sK3_SY652 ) ) )
= $true )
| ( $false = $true )
| ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK2_SY650 )
= $true ) ),
inference(extuni,[status(esa)],[469]) ).
thf(1478,plain,
! [SV418: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $true )
| ( ( ! [SY1135: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1135 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK115_E @ SV418 ) @ SY1135 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1135 @ ( sK116_E @ SV418 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV418 @ ( sK115_E @ SV418 ) @ ( sK116_E @ SV418 ) )
= $true )
| ( ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1333]) ).
thf(1479,plain,
! [SV418: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $true )
| ( ( ! [SY1135: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1135 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK115_E @ SV418 ) @ SY1135 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1135 @ ( sK116_E @ SV418 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV418 @ ( sK115_E @ SV418 ) @ ( sK116_E @ SV418 ) )
= $false )
| ( ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1333]) ).
thf(1480,plain,
! [SV418: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $true )
| ( ( ~ ! [SY1135: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1135 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK115_E @ SV418 ) @ SY1135 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1135 @ ( sK116_E @ SV418 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( ~ ( SV418 @ ( sK115_E @ SV418 ) @ ( sK116_E @ SV418 ) ) )
= $true )
| ( ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1333]) ).
thf(1481,plain,
! [SV418: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $true )
| ( ( ~ ! [SY1135: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1135 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK115_E @ SV418 ) @ SY1135 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1135 @ ( sK116_E @ SV418 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( ~ ( SV418 @ ( sK115_E @ SV418 ) @ ( sK116_E @ SV418 ) ) )
= $false )
| ( ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1333]) ).
thf(1482,plain,
( ( ( ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ~ ! [SY1139: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1139 @ sK1_A )
| ~ ( in @ ( kpair @ sK117_E @ SY1139 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1139 @ sK118_E ) @ sK3_SY652 ) ) )
= $true )
| ( ( sK117_E = sK118_E )
= $true )
| ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK2_SY650 )
= $true ) ),
inference(extuni,[status(esa)],[472]) ).
thf(1483,plain,
( ( ( ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ~ ! [SY1139: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1139 @ sK1_A )
| ~ ( in @ ( kpair @ sK117_E @ SY1139 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1139 @ sK118_E ) @ sK3_SY652 ) ) )
= $false )
| ( ( sK117_E = sK118_E )
= $false )
| ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK2_SY650 )
= $true ) ),
inference(extuni,[status(esa)],[472]) ).
thf(1486,plain,
( ( $false = $true )
| ( ( ~ ! [SY1147: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1147 @ sK1_A )
| ~ ( in @ ( kpair @ sK121_E @ SY1147 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1147 @ sK122_E ) @ sK3_SY652 ) ) )
= $true )
| ( $false = $true )
| ( ( in
@ ( kpair
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK3_SY652 )
= $true ) ),
inference(extuni,[status(esa)],[474]) ).
thf(1488,plain,
! [SV418: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $true )
| ( ( ! [SY1151: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1151 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK123_E @ SV418 ) @ SY1151 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1151 @ ( sK124_E @ SV418 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( SV418 @ ( sK123_E @ SV418 ) @ ( sK124_E @ SV418 ) )
= $true )
| ( ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1335]) ).
thf(1489,plain,
! [SV418: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $true )
| ( ( ! [SY1151: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1151 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK123_E @ SV418 ) @ SY1151 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1151 @ ( sK124_E @ SV418 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( SV418 @ ( sK123_E @ SV418 ) @ ( sK124_E @ SV418 ) )
= $false )
| ( ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1335]) ).
thf(1490,plain,
! [SV418: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $true )
| ( ( ~ ! [SY1151: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1151 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK123_E @ SV418 ) @ SY1151 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1151 @ ( sK124_E @ SV418 ) ) @ sK3_SY652 ) ) )
= $true )
| ( ( ~ ( SV418 @ ( sK123_E @ SV418 ) @ ( sK124_E @ SV418 ) ) )
= $true )
| ( ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1335]) ).
thf(1491,plain,
! [SV418: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $true )
| ( ( ~ ! [SY1151: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1151 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK123_E @ SV418 ) @ SY1151 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1151 @ ( sK124_E @ SV418 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( ~ ( SV418 @ ( sK123_E @ SV418 ) @ ( sK124_E @ SV418 ) ) )
= $false )
| ( ( SV418
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV418 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1335]) ).
thf(1492,plain,
( ( ( ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ~ ! [SY1155: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1155 @ sK1_A )
| ~ ( in @ ( kpair @ sK125_E @ SY1155 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1155 @ sK126_E ) @ sK3_SY652 ) ) )
= $true )
| ( ( sK125_E = sK126_E )
= $true )
| ( ( in
@ ( kpair
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK3_SY652 )
= $true ) ),
inference(extuni,[status(esa)],[477]) ).
thf(1493,plain,
( ( ( ( sK11_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ~ ! [SY1155: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1155 @ sK1_A )
| ~ ( in @ ( kpair @ sK125_E @ SY1155 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1155 @ sK126_E ) @ sK3_SY652 ) ) )
= $false )
| ( ( sK125_E = sK126_E )
= $false )
| ( ( in
@ ( kpair
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK3_SY652 )
= $true ) ),
inference(extuni,[status(esa)],[477]) ).
thf(1496,plain,
! [SV355: $i > $i > $o] :
( ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $false )
| ( ( ~ ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1351:[bind(SV15,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV355 @ SX0 @ SX1 ) ))]]) ).
thf(1497,plain,
( ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK2_SY650 )
= $false )
| ( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1352:[bind(SV15,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 != SX1 ) ))]]) ).
thf(1500,plain,
! [SV409: $i > $i > $o] :
( ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $false )
| ( ( ~ ( SV409
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV409
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1353:[bind(SV261,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV409 @ SX0 @ SX1 ) ))]]) ).
thf(1503,plain,
! [SV15: $i > $i > $o] :
( ( ( ( sK5_E
@ ^ [SX0: $i,SX1: $i] : $true )
= ( sK5_E @ SV15 ) )
= $false )
| ( ( in @ ( sK6_SY661 @ SV15 ) @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : $true )
@ ( sK6_SY661 @ SV15 ) )
@ sK2_SY650 )
= $false )
| ( $true = $false )
| ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true ) ),
inference(extuni,[status(esa)],[523:[bind(SV262,$thf( sK6_SY661 @ SV15 ))]]) ).
thf(1506,plain,
! [SV355: $i > $i > $o] :
( ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $false )
| ( ( ~ ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1355:[bind(SV15,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV355 @ SX0 @ SX1 ) )),bind(SV262,$thf( sK6_SY661 @ ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV355 @ SX0 @ SX1 ) ))]]) ).
thf(1507,plain,
! [SV15: $i > $i > $o,SV355: $i > $i > $o] :
( ( ( ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
= ( sK5_E @ SV15 ) )
= $false )
| ( ( in @ ( sK6_SY661 @ SV15 ) @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK6_SY661 @ SV15 ) )
@ sK2_SY650 )
= $false )
| ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true )
| ( ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1355:[bind(SV262,$thf( sK6_SY661 @ SV15 ))]]) ).
thf(1508,plain,
( ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK2_SY650 )
= $false )
| ( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1356:[bind(SV15,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 != SX1 ) )),bind(SV262,$thf( sK6_SY661 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 != SX1 ) ))]]) ).
thf(1509,plain,
! [SV15: $i > $i > $o] :
( ( ( ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK5_E @ SV15 ) )
= $false )
| ( ( in @ ( sK6_SY661 @ SV15 ) @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ ( sK6_SY661 @ SV15 ) )
@ sK2_SY650 )
= $false )
| ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1356:[bind(SV262,$thf( sK6_SY661 @ SV15 ))]]) ).
thf(1513,plain,
! [SV261: $i > $i > $o] :
( ( ( ( sK5_E @ SV261 )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : $false ) )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK1_A )
= $false )
| ( ( in
@ ( kpair @ ( sK4_E @ SV261 )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK2_SY650 )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[529:[bind(SV262,$thf( sK6_SY661 @ ^ [SX0: $i] : ^ [SX1: $i] : $false ))]]) ).
thf(1514,plain,
! [SV409: $i > $i > $o] :
( ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $false )
| ( ( ~ ( SV409
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV409
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1357:[bind(SV261,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV409 @ SX0 @ SX1 ) )),bind(SV262,$thf( sK6_SY661 @ ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV409 @ SX0 @ SX1 ) ))]]) ).
thf(1515,plain,
! [SV409: $i > $i > $o,SV261: $i > $i > $o] :
( ( ( ( sK5_E @ SV261 )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ sK1_A )
= $false )
| ( ( in
@ ( kpair @ ( sK4_E @ SV261 )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( SV409
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV409 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1357:[bind(SV262,$thf( sK6_SY661 @ ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV409 @ SX0 @ SX1 ) ))]]) ).
thf(1517,plain,
! [SV261: $i > $i > $o] :
( ( ( ( sK5_E @ SV261 )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK1_A )
= $false )
| ( ( in
@ ( kpair @ ( sK4_E @ SV261 )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK2_SY650 )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[532:[bind(SV262,$thf( sK6_SY661 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) ))]]) ).
thf(1520,plain,
! [SV355: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ sK1_A )
= $false )
| ( ( ~ ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1395:[bind(SV179,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV355 @ SX0 @ SX1 ) ))]]) ).
thf(1521,plain,
( ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ sK1_A )
= $false )
| ( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1396:[bind(SV179,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 != SX1 ) ))]]) ).
thf(1524,plain,
! [SV373: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ sK1_A )
= $false )
| ( ( ~ ( SV373
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV373
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1397:[bind(SV261,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV373 @ SX0 @ SX1 ) ))]]) ).
thf(1527,plain,
! [SV179: $i > $i > $o] :
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : $true )
= ( sK4_E @ SV179 ) )
= $false )
| ( ( in
@ ( kpair @ ( sK6_SY661 @ SV179 )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : $true ) )
@ sK3_SY652 )
= $false )
| ( ( in @ ( sK6_SY661 @ SV179 ) @ sK1_A )
= $false )
| ( $true = $false )
| ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true ) ),
inference(extuni,[status(esa)],[633:[bind(SV262,$thf( sK6_SY661 @ SV179 ))]]) ).
thf(1530,plain,
! [SV355: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ sK1_A )
= $false )
| ( ( ~ ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1399:[bind(SV262,$thf( sK6_SY661 @ ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV355 @ SX0 @ SX1 ) )),bind(SV179,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV355 @ SX0 @ SX1 ) ))]]) ).
thf(1531,plain,
! [SV179: $i > $i > $o,SV355: $i > $i > $o] :
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
= ( sK4_E @ SV179 ) )
= $false )
| ( ( in
@ ( kpair @ ( sK6_SY661 @ SV179 )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in @ ( sK6_SY661 @ SV179 ) @ sK1_A )
= $false )
| ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true )
| ( ( SV355
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV355 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1399:[bind(SV262,$thf( sK6_SY661 @ SV179 ))]]) ).
thf(1532,plain,
( ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
@ sK1_A )
= $false )
| ( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1400:[bind(SV262,$thf( sK6_SY661 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 != SX1 ) )),bind(SV179,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 != SX1 ) ))]]) ).
thf(1533,plain,
! [SV179: $i > $i > $o] :
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK4_E @ SV179 ) )
= $false )
| ( ( in
@ ( kpair @ ( sK6_SY661 @ SV179 )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in @ ( sK6_SY661 @ SV179 ) @ sK1_A )
= $false )
| ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1400:[bind(SV262,$thf( sK6_SY661 @ SV179 ))]]) ).
thf(1537,plain,
! [SV261: $i > $i > $o] :
( ( ( ( sK4_E @ SV261 )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] : $false ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK5_E @ SV261 ) )
@ sK3_SY652 )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK1_A )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[639:[bind(SV262,$thf( sK6_SY661 @ ^ [SX0: $i] : ^ [SX1: $i] : $false ))]]) ).
thf(1538,plain,
! [SV373: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ sK1_A )
= $false )
| ( ( ~ ( SV373
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV373
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1401:[bind(SV262,$thf( sK6_SY661 @ ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV373 @ SX0 @ SX1 ) )),bind(SV261,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV373 @ SX0 @ SX1 ) ))]]) ).
thf(1539,plain,
! [SV373: $i > $i > $o,SV261: $i > $i > $o] :
( ( ( ( sK4_E @ SV261 )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ ( sK5_E @ SV261 ) )
@ sK3_SY652 )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ sK1_A )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( SV373
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV373 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1401:[bind(SV262,$thf( sK6_SY661 @ ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV373 @ SX0 @ SX1 ) ))]]) ).
thf(1541,plain,
! [SV261: $i > $i > $o] :
( ( ( ( sK4_E @ SV261 )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK5_E @ SV261 ) )
@ sK3_SY652 )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK1_A )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[642:[bind(SV262,$thf( sK6_SY661 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) ))]]) ).
thf(1542,plain,
! [SV6: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK9_SY665 @ SV6 ) @ ( sK8_E @ SV6 ) ) @ sK3_SY652 )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(sim,[status(thm)],[760]) ).
thf(1543,plain,
! [SV6: $i > $i > $o] :
( ( ( in @ ( sK9_SY665 @ SV6 ) @ sK1_A )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(sim,[status(thm)],[762]) ).
thf(1544,plain,
! [SV6: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK7_E @ SV6 ) @ ( sK9_SY665 @ SV6 ) ) @ sK2_SY650 )
= $true )
| ( ( SV6 @ ( sK7_E @ SV6 ) @ ( sK8_E @ SV6 ) )
= $true ) ),
inference(sim,[status(thm)],[764]) ).
thf(1545,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK19_SY677 @ SV8 ) @ ( sK14_E @ SV8 ) ) @ sK3_SY652 )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(sim,[status(thm)],[768]) ).
thf(1546,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( sK19_SY677 @ SV8 ) @ sK1_A )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(sim,[status(thm)],[770]) ).
thf(1547,plain,
! [SV8: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK13_E @ SV8 ) @ ( sK19_SY677 @ SV8 ) ) @ sK2_SY650 )
= $true )
| ( ( SV8 @ ( sK13_E @ SV8 ) @ ( sK14_E @ SV8 ) )
= $true ) ),
inference(sim,[status(thm)],[772]) ).
thf(1548,plain,
! [SV15: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK6_SY661 @ SV15 ) @ ( sK5_E @ SV15 ) ) @ sK3_SY652 )
= $true )
| ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true ) ),
inference(sim,[status(thm)],[774]) ).
thf(1549,plain,
( ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK3_SY652 )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[776]) ).
thf(1550,plain,
! [SV18: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $true )
| ( ( SV18
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV18 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(sim,[status(thm)],[827]) ).
thf(1551,plain,
! [SV438: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) ) )
@ sK3_SY652 )
= $true )
| ( ( SV438
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV438 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[947]) ).
thf(1552,plain,
! [SV97: $i > $i > $o] :
( ( ( in @ ( sK6_SY661 @ SV97 ) @ sK1_A )
= $true )
| ( ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) )
= $true ) ),
inference(sim,[status(thm)],[780]) ).
thf(1553,plain,
( ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ sK1_A )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[782]) ).
thf(1554,plain,
! [SV100: $i > $i > $o] :
( ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ sK1_A )
= $true )
| ( ( SV100
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV100 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(sim,[status(thm)],[828]) ).
thf(1555,plain,
! [SV449: $i > $i > $o] :
( ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) )
@ sK1_A )
= $true )
| ( ( SV449
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV449 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[949]) ).
thf(1556,plain,
! [SV179: $i > $i > $o] :
( ( ( in @ ( kpair @ ( sK4_E @ SV179 ) @ ( sK6_SY661 @ SV179 ) ) @ sK2_SY650 )
= $true )
| ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true ) ),
inference(sim,[status(thm)],[786]) ).
thf(1557,plain,
( ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
@ sK2_SY650 )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[788]) ).
thf(1558,plain,
! [SV182: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $true )
| ( ( SV182
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV182 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(sim,[status(thm)],[829]) ).
thf(1559,plain,
! [SV460: $i > $i > $o] :
( ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) ) )
@ sK2_SY650 )
= $true )
| ( ( SV460
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV460 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[951]) ).
thf(1560,plain,
( ( ~ ! [SY1031: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1031 @ sK1_A )
| ~ ( in @ ( kpair @ sK63_E @ SY1031 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1031 @ sK64_E ) @ sK3_SY652 ) ) )
= $false ),
inference(sim,[status(thm)],[1406]) ).
thf(1561,plain,
( ( ~ ! [SY1035: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1035 @ sK1_A )
| ~ ( in @ ( kpair @ sK65_E @ SY1035 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1035 @ sK66_E ) @ sK3_SY652 ) ) )
= $true ),
inference(sim,[status(thm)],[1407]) ).
thf(1562,plain,
( ( in
@ ( kpair
@ ( sK9_SY665
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK3_SY652 )
= $true ),
inference(sim,[status(thm)],[369]) ).
thf(1563,plain,
( ( in
@ ( sK9_SY665
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK1_A )
= $true ),
inference(sim,[status(thm)],[374]) ).
thf(1564,plain,
( ( in
@ ( kpair
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK9_SY665
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK2_SY650 )
= $true ),
inference(sim,[status(thm)],[379]) ).
thf(1565,plain,
! [SV7: $i] :
( ( ( in
@ ( kpair @ SV7
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] : $true ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV7 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] : $true )
@ SV7 )
@ sK2_SY650 )
= $false ) ),
inference(sim,[status(thm)],[383]) ).
thf(1566,plain,
( ( ~ ! [SY1051: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1051 @ sK1_A )
| ~ ( in @ ( kpair @ sK73_E @ SY1051 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1051 @ sK74_E ) @ sK3_SY652 ) ) )
= $false ),
inference(sim,[status(thm)],[1420]) ).
thf(1567,plain,
( ( ~ ! [SY1055: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1055 @ sK1_A )
| ~ ( in @ ( kpair @ sK75_E @ SY1055 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1055 @ sK76_E ) @ sK3_SY652 ) ) )
= $true ),
inference(sim,[status(thm)],[1422]) ).
thf(1568,plain,
( ( ~ ! [SY1071: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1071 @ sK1_A )
| ~ ( in @ ( kpair @ sK83_E @ SY1071 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1071 @ sK84_E ) @ sK3_SY652 ) ) )
= $false ),
inference(sim,[status(thm)],[1439]) ).
thf(1569,plain,
( ( ~ ! [SY1075: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1075 @ sK1_A )
| ~ ( in @ ( kpair @ sK85_E @ SY1075 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1075 @ sK86_E ) @ sK3_SY652 ) ) )
= $true ),
inference(sim,[status(thm)],[1440]) ).
thf(1570,plain,
( ( in
@ ( kpair
@ ( sK19_SY677
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK3_SY652 )
= $true ),
inference(sim,[status(thm)],[409]) ).
thf(1571,plain,
( ( in
@ ( sK19_SY677
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK1_A )
= $true ),
inference(sim,[status(thm)],[434]) ).
thf(1572,plain,
( ( in
@ ( kpair
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK19_SY677
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK2_SY650 )
= $true ),
inference(sim,[status(thm)],[439]) ).
thf(1573,plain,
! [SV14: $i] :
( ( ( in
@ ( kpair @ SV14
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] : $true ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV14 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] : $true )
@ SV14 )
@ sK2_SY650 )
= $false ) ),
inference(sim,[status(thm)],[453]) ).
thf(1574,plain,
! [SV10: $i] :
( ( ( ~ ! [SY1091: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1091 @ sK1_A )
| ~ ( in @ ( kpair @ ( sK93_E @ SV10 ) @ SY1091 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1091 @ ( sK94_E @ SV10 ) ) @ sK3_SY652 ) ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] : $true )
@ SV10 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV10 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV10
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] : $true ) )
@ sK3_SY652 )
= $false ) ),
inference(sim,[status(thm)],[1453]) ).
thf(1575,plain,
( ( ( ~ ! [SY1115: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1115 @ sK1_A )
| ~ ( in @ ( kpair @ sK105_E @ SY1115 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1115 @ sK106_E ) @ sK3_SY652 ) ) )
= $true )
| ( ( in
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK1_A )
= $true ) ),
inference(sim,[status(thm)],[1466]) ).
thf(1576,plain,
( ( ( ~ ! [SY1131: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1131 @ sK1_A )
| ~ ( in @ ( kpair @ sK113_E @ SY1131 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1131 @ sK114_E ) @ sK3_SY652 ) ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK11_E
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK2_SY650 )
= $true ) ),
inference(sim,[status(thm)],[1476]) ).
thf(1577,plain,
( ( ( ~ ! [SY1147: $i] :
~ ~ ( ~ ~ ( ~ ( in @ SY1147 @ sK1_A )
| ~ ( in @ ( kpair @ sK121_E @ SY1147 ) @ sK2_SY650 ) )
| ~ ( in @ ( kpair @ SY1147 @ sK122_E ) @ sK3_SY652 ) ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK15_SY673
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK12_E
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK3_SY652 )
= $true ) ),
inference(sim,[status(thm)],[1486]) ).
thf(1578,plain,
( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK3_SY652 )
= $true ),
inference(sim,[status(thm)],[479]) ).
thf(1579,plain,
( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ~ $true )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ~ $true ) )
@ sK3_SY652 )
= $true ),
inference(sim,[status(thm)],[483]) ).
thf(1580,plain,
( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK1_A )
= $true ),
inference(sim,[status(thm)],[489]) ).
thf(1581,plain,
( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ~ $true )
@ sK1_A )
= $true ),
inference(sim,[status(thm)],[493]) ).
thf(1582,plain,
( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK2_SY650 )
= $true ),
inference(sim,[status(thm)],[499]) ).
thf(1583,plain,
( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ~ $true )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : ~ $true ) )
@ sK2_SY650 )
= $true ),
inference(sim,[status(thm)],[503]) ).
thf(1584,plain,
! [SV262: $i] :
( ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : $true ) )
@ sK3_SY652 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : $true )
@ SV262 )
@ sK2_SY650 )
= $false ) ),
inference(sim,[status(thm)],[508]) ).
thf(1585,plain,
! [SV15: $i > $i > $o] :
( ( ( ( sK5_E
@ ^ [SX0: $i,SX1: $i] : $true )
= ( sK5_E @ SV15 ) )
= $false )
| ( ( in @ ( sK6_SY661 @ SV15 ) @ sK1_A )
= $false )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : $true )
@ ( sK6_SY661 @ SV15 ) )
@ sK2_SY650 )
= $false )
| ( ( SV15 @ ( sK4_E @ SV15 ) @ ( sK5_E @ SV15 ) )
= $true ) ),
inference(sim,[status(thm)],[1503]) ).
thf(1586,plain,
! [SV261: $i > $i > $o] :
( ( ( ( sK5_E @ SV261 )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] : $false ) )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK1_A )
= $false )
| ( ( in
@ ( kpair @ ( sK4_E @ SV261 )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK2_SY650 )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false ) ),
inference(sim,[status(thm)],[1513]) ).
thf(1587,plain,
! [SV97: $i > $i > $o] :
( ( ( SV97 @ ( sK4_E @ SV97 ) @ ( sK5_E @ SV97 ) )
= $true )
| ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : $true )
@ ( sK6_SY661 @ SV97 ) )
@ sK2_SY650 )
= $false )
| ( ( in
@ ( kpair @ ( sK6_SY661 @ SV97 )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : $true ) )
@ sK3_SY652 )
= $false ) ),
inference(sim,[status(thm)],[573]) ).
thf(1588,plain,
! [SV261: $i > $i > $o] :
( ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false )
| ( ( in
@ ( kpair @ ( sK4_E @ SV261 )
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false ) )
@ sK2_SY650 )
= $false )
| ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK5_E @ SV261 ) )
@ sK3_SY652 )
= $false ) ),
inference(sim,[status(thm)],[579]) ).
thf(1589,plain,
! [SV179: $i > $i > $o] :
( ( ( ( sK4_E
@ ^ [SX0: $i,SX1: $i] : $true )
= ( sK4_E @ SV179 ) )
= $false )
| ( ( in
@ ( kpair @ ( sK6_SY661 @ SV179 )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : $true ) )
@ sK3_SY652 )
= $false )
| ( ( in @ ( sK6_SY661 @ SV179 ) @ sK1_A )
= $false )
| ( ( SV179 @ ( sK4_E @ SV179 ) @ ( sK5_E @ SV179 ) )
= $true ) ),
inference(sim,[status(thm)],[1527]) ).
thf(1590,plain,
! [SV261: $i > $i > $o] :
( ( ( ( sK4_E @ SV261 )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] : $false ) )
= $false )
| ( ( in
@ ( kpair
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false )
@ ( sK5_E @ SV261 ) )
@ sK3_SY652 )
= $false )
| ( ( in
@ ( sK6_SY661
@ ^ [SX0: $i,SX1: $i] : $false )
@ sK1_A )
= $false )
| ( ( SV261 @ ( sK4_E @ SV261 ) @ ( sK5_E @ SV261 ) )
= $false ) ),
inference(sim,[status(thm)],[1537]) ).
thf(1591,plain,
! [SV262: $i] :
( ( ( in
@ ( kpair
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] : ~ $false )
@ SV262 )
@ sK2_SY650 )
= $false )
| ( ( in @ SV262 @ sK1_A )
= $false )
| ( ( in
@ ( kpair @ SV262
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ~ $false ) )
@ sK3_SY652 )
= $false ) ),
inference(sim,[status(thm)],[644]) ).
thf(1592,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[16,1591,1590,1589,1588,1587,1586,1585,1584,1583,1582,1581,1580,1579,1578,1577,1576,1575,1574,1573,1572,1571,1570,1569,1568,1567,1566,1565,1564,1563,1562,1561,1560,1559,1558,1557,1556,1555,1554,1553,1552,1551,1550,1549,1548,1547,1546,1545,1544,1543,1542,1541,1539,1538,1533,1532,1531,1530,1524,1521,1520,1517,1515,1514,1509,1508,1507,1506,1500,1497,1496,1493,1492,1491,1490,1489,1488,1483,1482,1481,1480,1479,1478,1473,1472,1471,1470,1469,1468,1463,1462,1461,1460,1459,1458,1457,1456,1451,1450,1449,1448,1447,1446,1445,1444,1443,1442,1437,1436,1435,1434,1433,1432,1431,1430,1429,1428,1427,1426,1425,1424,1421,1418,1417,1416,1415,1414,1413,1412,1411,1410,1409,1403,1377,1376,1375,1350,1349,1348,1347,1345,1344,1343,1341,1340,1339,1337,1328,1327,1321,1319,1309,1304,1303,1301,1299,1297,1296,1294,1293,1292,1291,1284,1283,1282,1281,1272,1270,1258,1257,1256,1254,1228,1219,1218,1217,1216,1215,1214,1213,1212,1211,1201,1180,1179,1177,1176,1174,1173,1171,1170,1168,1167,1165,1164,1162,1161,1159,1158,1156,1155,1149,1148,1070,1067,1064,1061,1058,1055,1052,1049,1046,1040,870,867,866,865,852,647,582,502,492,482,442,437,412,382,377,372,362,361,360,359,357,356,355,354,353,352,351,350,349,348,347,341,303,302,301,299,296,281,280,279,277,274,259,258,257,255,252,237,236,235,234,233,232,231,230,222,221,219,218,217,216,182,179,177,112,94,93,91,90,83,64,29,28,24,23,21]) ).
thf(1593,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1592]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SEU778^2 : TPTP v8.1.0. Released v3.7.0.
% 0.00/0.09 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Mon Jun 20 10:45:49 EDT 2022
% 0.07/0.28 % CPUTime :
% 0.07/0.28
% 0.07/0.28 No.of.Axioms: 0
% 0.07/0.28
% 0.07/0.28 Length.of.Defs: 787
% 0.07/0.28
% 0.07/0.28 Contains.Choice.Funs: false
% 0.07/0.28 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)............
% 0.11/0.44
% 0.11/0.44 Prim_subst applied to clause
% 0.11/0.44
% 0.11/0.44 237:[ 0:<(in@((kpair@(sK6_SY71@SV15))@(sK5_E@SV15)))@sK3_SY56 = $true>-w(1)-i() 1:<(SV15@(sK4_E@SV15))@(sK5_E@SV15) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 47)-o(DERIVED)-fv([ SV15 ])
% 0.81/1.06 ...........
% 75.19/75.47 (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)...........
% 75.27/75.58
% 75.27/75.58 Prim_subst applied to clause
% 75.27/75.58
% 75.27/75.58 237:[ 0:<(in@((kpair@(sK6_SY661@SV15))@(sK5_E@SV15)))@sK3_SY652 = $true>-w(1)-i() 1:<(SV15@(sK4_E@SV15))@(sK5_E@SV15) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 47)-o(DERIVED)-fv([ SV15 ])
% 75.38/75.60 .eprover: CPU time limit exceeded, terminating
% 100.48/100.70
% 100.48/100.70
% 100.48/100.70 Prim_subst applied to clause
% 100.48/100.70
% 100.48/100.70 259:[ 0:<(in@(sK6_SY661@SV97))@sK1_A = $true>-w(1)-i() 1:<(SV97@(sK4_E@SV97))@(sK5_E@SV97) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 54)-o(DERIVED)-fv([ SV97 ])
% 100.49/100.76 ..
% 100.67/100.94
% 100.67/100.94 Prim_subst applied to clause
% 100.67/100.94
% 100.67/100.94 281:[ 0:<(in@((kpair@(sK4_E@SV179))@(sK6_SY661@SV179)))@sK2_SY650 = $true>-w(1)-i() 1:<(SV179@(sK4_E@SV179))@(sK5_E@SV179) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 55)-o(DERIVED)-fv([ SV179 ])
% 100.99/101.28 .
% 100.99/101.28
% 100.99/101.28 Prim_subst applied to clause
% 100.99/101.28
% 100.99/101.28 303:[ 0:<(in@((kpair@SV262)@(sK5_E@SV261)))@sK3_SY652 = $false>-w(1)-i() 1:<(in@SV262)@sK1_A = $false>-w(1)-i() 2:<(in@((kpair@(sK4_E@SV261))@SV262))@sK2_SY650 = $false>-w(1)-i() 3:<(SV261@(sK4_E@SV261))@(sK5_E@SV261) = $false>-w(1)-i() ]-mln(4)-w(4)-i(rename 57)-o(DERIVED)-fv([ SV261 SV262 ])
% 101.48/101.74 .eprover: CPU time limit exceeded, terminating
% 128.79/129.01 ......................................................
% 161.30/161.55
% 161.30/161.55 ********************************
% 161.30/161.55 * All subproblems solved! *
% 161.30/161.55 ********************************
% 161.30/161.55 % 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:12,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1592,loop_count:12,foatp_calls:4,translation:fof_full)
% 162.48/162.76
% 162.48/162.76 %**** Beginning of derivation protocol ****
% 162.48/162.76 % SZS output start CNFRefutation
% See solution above
% 162.48/162.76
% 162.48/162.76 %**** End of derivation protocol ****
% 162.48/162.76 %**** no. of clauses in derivation: 1056 ****
% 162.48/162.76 %**** clause counter: 1592 ****
% 162.48/162.76
% 162.48/162.76 % 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:12,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1592,loop_count:12,foatp_calls:4,translation:fof_full)
%------------------------------------------------------------------------------