%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO534^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 11:08:40 AM UTC 2026
% Result : Theorem 3.15s 0.72s
% Output : CNFRefutation 3.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 4
% Syntax : Number of formulae : 549 ( 58 unt; 0 typ; 3 def)
% Number of atoms : 4250 (1057 equ; 0 cnn)
% Maximal formula atoms : 3 ( 7 avg)
% Number of connectives : 15062 (6459 ~; 525 |; 0 &;8075 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 89 ( 86 usr; 30 con; 0-3 aty)
% Number of variables : 5162 (1081 ^;4066 !; 15 ?;5162 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_eps,type,
eps: ( $i > $o ) > $i ).
thf(tp_epsa,type,
epsa: ( $i > $i > $i > $o ) > $i ).
thf(tp_epsb,type,
epsb: ( $i > $i > $i > $o ) > $i ).
thf(tp_epsc,type,
epsc: ( $i > $i > $i > $o ) > $i ).
thf(tp_sK10_SY91,type,
sK10_SY91: $i > $i > $i > $i ).
thf(tp_sK11_SY143,type,
sK11_SY143: $i > $i > $i > $i ).
thf(tp_sK12_SY147,type,
sK12_SY147: $i > $i > $i > $i ).
thf(tp_sK13_SY151,type,
sK13_SY151: $i > $i > $i > $i ).
thf(tp_sK14_SY155,type,
sK14_SY155: $i > $i > $i > $i ).
thf(tp_sK15_SY189,type,
sK15_SY189: $i > $i > $i ).
thf(tp_sK16_SY245,type,
sK16_SY245: $i > $i > $i ).
thf(tp_sK17_SY177,type,
sK17_SY177: $i > $i > $i > $i ).
thf(tp_sK18_SY199,type,
sK18_SY199: $i > $i > $i > $i ).
thf(tp_sK19_SY233,type,
sK19_SY233: $i > $i > $i > $i ).
thf(tp_sK1_R,type,
sK1_R: $i > $i > $i > $o ).
thf(tp_sK20_SY255,type,
sK20_SY255: $i > $i > $i > $i ).
thf(tp_sK21_SY307,type,
sK21_SY307: $i > $i > $i > $i ).
thf(tp_sK22_SY311,type,
sK22_SY311: $i > $i > $i > $i ).
thf(tp_sK23_SY315,type,
sK23_SY315: $i > $i > $i > $i ).
thf(tp_sK24_SY319,type,
sK24_SY319: $i > $i > $i > $i ).
thf(tp_sK25_SY353,type,
sK25_SY353: $i > $i > $i ).
thf(tp_sK26_SY383,type,
sK26_SY383: $i > $i > $i ).
thf(tp_sK27_SY439,type,
sK27_SY439: $i > $i > $i ).
thf(tp_sK28_SY341,type,
sK28_SY341: $i > $i > $i > $i ).
thf(tp_sK29_SY363,type,
sK29_SY363: $i > $i > $i > $i ).
thf(tp_sK2_SY0,type,
sK2_SY0: $i ).
thf(tp_sK30_SY371,type,
sK30_SY371: $i > $i > $i > $i ).
thf(tp_sK31_SY393,type,
sK31_SY393: $i > $i > $i > $i ).
thf(tp_sK32_SY427,type,
sK32_SY427: $i > $i > $i > $i ).
thf(tp_sK33_SY449,type,
sK33_SY449: $i > $i > $i > $i ).
thf(tp_sK34_SY522,type,
sK34_SY522: $i > $i > $i > $i ).
thf(tp_sK35_SY526,type,
sK35_SY526: $i > $i > $i > $i ).
thf(tp_sK36_SY530,type,
sK36_SY530: $i > $i > $i > $i ).
thf(tp_sK37_SY534,type,
sK37_SY534: $i > $i > $i > $i ).
thf(tp_sK38_SY538,type,
sK38_SY538: $i > $i > $i > $i ).
thf(tp_sK39_SY542,type,
sK39_SY542: $i > $i > $i > $i ).
thf(tp_sK3_SY3,type,
sK3_SY3: $i ).
thf(tp_sK40_E,type,
sK40_E: $i ).
thf(tp_sK41_E,type,
sK41_E: $i ).
thf(tp_sK42_E,type,
sK42_E: $i ).
thf(tp_sK43_E,type,
sK43_E: $i ).
thf(tp_sK44_E,type,
sK44_E: $i ).
thf(tp_sK45_E,type,
sK45_E: $i ).
thf(tp_sK46_E,type,
sK46_E: $i ).
thf(tp_sK47_E,type,
sK47_E: $i ).
thf(tp_sK48_E,type,
sK48_E: $i ).
thf(tp_sK49_E,type,
sK49_E: $i ).
thf(tp_sK4_SY5,type,
sK4_SY5: $i ).
thf(tp_sK50_E,type,
sK50_E: $i ).
thf(tp_sK51_E,type,
sK51_E: $i ).
thf(tp_sK52_E,type,
sK52_E: $i ).
thf(tp_sK53_E,type,
sK53_E: $i ).
thf(tp_sK54_E,type,
sK54_E: $i ).
thf(tp_sK55_E,type,
sK55_E: $i ).
thf(tp_sK56_SY634,type,
sK56_SY634: $i > $i > $i ).
thf(tp_sK57_SY622,type,
sK57_SY622: $i > $i > $i > $i ).
thf(tp_sK58_SY644,type,
sK58_SY644: $i > $i > $i > $i ).
thf(tp_sK59_SY667,type,
sK59_SY667: $i > $i > $i > $i ).
thf(tp_sK5_SY25,type,
sK5_SY25: $i > $i > $i ).
thf(tp_sK60_SY671,type,
sK60_SY671: $i > $i > $i > $i ).
thf(tp_sK61_SY699,type,
sK61_SY699: $i > $i > $i ).
thf(tp_sK62_SY687,type,
sK62_SY687: $i > $i > $i > $i ).
thf(tp_sK63_SY709,type,
sK63_SY709: $i > $i > $i > $i ).
thf(tp_sK64_SY717,type,
sK64_SY717: $i > $i > $i > $i ).
thf(tp_sK65_SY743,type,
sK65_SY743: $i > $i > $i > $i ).
thf(tp_sK66_SY747,type,
sK66_SY747: $i > $i > $i > $i ).
thf(tp_sK67_SY751,type,
sK67_SY751: $i > $i > $i > $i ).
thf(tp_sK68_E,type,
sK68_E: $i ).
thf(tp_sK69_E,type,
sK69_E: $i ).
thf(tp_sK6_SY81,type,
sK6_SY81: $i > $i > $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_SY782,type,
sK74_SY782: $i > $i > $i > $i ).
thf(tp_sK75_SY787,type,
sK75_SY787: $i > $i > $i > $i ).
thf(tp_sK76_SY800,type,
sK76_SY800: $i > $i > $i > $i ).
thf(tp_sK77_SY805,type,
sK77_SY805: $i > $i > $i > $i ).
thf(tp_sK78_E,type,
sK78_E: $i ).
thf(tp_sK79_E,type,
sK79_E: $i ).
thf(tp_sK7_SY13,type,
sK7_SY13: $i > $i > $i > $i ).
thf(tp_sK80_E,type,
sK80_E: $i ).
thf(tp_sK81_SY824,type,
sK81_SY824: $i > $i > $i > $i ).
thf(tp_sK82_SY829,type,
sK82_SY829: $i > $i > $i > $i ).
thf(tp_sK8_SY35,type,
sK8_SY35: $i > $i > $i > $i ).
thf(tp_sK9_SY69,type,
sK9_SY69: $i > $i > $i > $i ).
thf(epsa,definition,
( epsa
= ( ^ [R: $i > $i > $i > $o] :
( eps
@ ^ [X: $i] :
? [Y: $i,Z: $i] : ( R @ X @ Y @ Z ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',epsad) ).
thf(epsb,definition,
( epsb
= ( ^ [R: $i > $i > $i > $o] :
( eps
@ ^ [Y: $i] :
? [Z: $i] : ( R @ ( epsa @ R ) @ Y @ Z ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',epsbd) ).
thf(epsc,definition,
( epsc
= ( ^ [R: $i > $i > $i > $o] :
( eps
@ ^ [Z: $i] : ( R @ ( epsa @ R ) @ ( epsb @ R ) @ Z ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',epscd) ).
thf(2,conjecture,
! [R: $i > $i > $i > $o] :
( ? [X: $i,Y: $i,Z: $i] : ( R @ X @ Y @ Z )
=> ( R @ ( epsa @ R ) @ ( epsb @ R ) @ ( epsc @ R ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(3,negated_conjecture,
( ( ! [R: $i > $i > $i > $o] :
( ? [X: $i,Y: $i,Z: $i] : ( R @ X @ Y @ Z )
=> ( R @ ( epsa @ R ) @ ( epsb @ R ) @ ( epsc @ R ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,plain,
( ( ? [SY0: $i,SY1: $i,SY2: $i] : ( sK1_R @ SY0 @ SY1 @ SY2 )
=> ( sK1_R @ ( epsa @ sK1_R ) @ ( epsb @ sK1_R ) @ ( epsc @ sK1_R ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ? [SY0: $i,SY1: $i,SY2: $i] : ( sK1_R @ SY0 @ SY1 @ SY2 ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(6,plain,
( ( sK1_R @ ( epsa @ sK1_R ) @ ( epsb @ sK1_R ) @ ( epsc @ sK1_R ) )
= $false ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(7,plain,
( ( ~ ( sK1_R @ ( epsa @ sK1_R ) @ ( epsb @ sK1_R ) @ ( epsc @ sK1_R ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( sK1_R @ sK2_SY0 @ sK3_SY3 @ sK4_SY5 )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(11,plain,
( ( sK1_R @ sK2_SY0 @ sK3_SY3 @ sK4_SY5 )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(12,plain,
( ( ~ ( sK1_R @ ( epsa @ sK1_R ) @ ( epsb @ sK1_R ) @ ( epsc @ sK1_R ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(13,plain,
( ( ~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,epsa,epsb,epsc]) ).
thf(15,plain,
( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(19,plain,
( ( ~ ~ ! [SY7: $i] :
~ ~ ! [SY8: $i] :
~ ~ ! [SY9: $i] :
~ ( sK1_R @ SY7 @ SY8 @ SY9 )
| ~ ! [SY13: $i] :
~ ~ ! [SY14: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY13
@ SY14 ) )
= $true ),
inference(choice,[status(thm)],[15]) ).
thf(20,plain,
( ( ~ ~ ! [SY15: $i] :
~ ~ ! [SY16: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY15
@ SY16 )
| ~ ! [SY25: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY25 ) )
= $true ),
inference(choice,[status(thm)],[15]) ).
thf(21,plain,
( ( ~ ~ ! [SY29: $i] :
~ ~ ! [SY30: $i] :
~ ~ ! [SY31: $i] :
~ ( sK1_R @ SY29 @ SY30 @ SY31 )
| ~ ! [SY35: $i] :
~ ~ ! [SY36: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY35
@ SY36 ) )
= $true ),
inference(choice,[status(thm)],[15]) ).
thf(22,plain,
( ( ~ ~ ! [SY37: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY37 )
| ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) ) )
= $true ),
inference(choice,[status(thm)],[15]) ).
thf(23,plain,
( ( ~ ~ ! [SY63: $i] :
~ ~ ! [SY64: $i] :
~ ~ ! [SY65: $i] :
~ ( sK1_R @ SY63 @ SY64 @ SY65 )
| ~ ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY69
@ SY70 ) )
= $true ),
inference(choice,[status(thm)],[15]) ).
thf(25,plain,
( ( ~ ~ ! [SY85: $i] :
~ ~ ! [SY86: $i] :
~ ~ ! [SY87: $i] :
~ ( sK1_R @ SY85 @ SY86 @ SY87 )
| ~ ! [SY91: $i] :
~ ~ ! [SY92: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY91
@ SY92 ) )
= $true ),
inference(choice,[status(thm)],[15]) ).
thf(26,plain,
( ( ( ~ ~ ! [SY7: $i] :
~ ~ ! [SY8: $i] :
~ ~ ! [SY9: $i] :
~ ( sK1_R @ SY7 @ SY8 @ SY9 ) )
= $true )
| ( ( ~ ! [SY13: $i] :
~ ~ ! [SY14: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY13
@ SY14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(27,plain,
( ( ( ~ ~ ! [SY15: $i] :
~ ~ ! [SY16: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY15
@ SY16 ) )
= $true )
| ( ( ~ ! [SY25: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(28,plain,
( ( ( ~ ~ ! [SY29: $i] :
~ ~ ! [SY30: $i] :
~ ~ ! [SY31: $i] :
~ ( sK1_R @ SY29 @ SY30 @ SY31 ) )
= $true )
| ( ( ~ ! [SY35: $i] :
~ ~ ! [SY36: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY35
@ SY36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(29,plain,
( ( ( ~ ~ ! [SY37: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY37 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(30,plain,
( ( ( ~ ~ ! [SY63: $i] :
~ ~ ! [SY64: $i] :
~ ~ ! [SY65: $i] :
~ ( sK1_R @ SY63 @ SY64 @ SY65 ) )
= $true )
| ( ( ~ ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY69
@ SY70 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(32,plain,
( ( ( ~ ~ ! [SY85: $i] :
~ ~ ! [SY86: $i] :
~ ~ ! [SY87: $i] :
~ ( sK1_R @ SY85 @ SY86 @ SY87 ) )
= $true )
| ( ( ~ ! [SY91: $i] :
~ ~ ! [SY92: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY91
@ SY92 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(33,plain,
( ( ( ~ ! [SY7: $i] :
~ ~ ! [SY8: $i] :
~ ~ ! [SY9: $i] :
~ ( sK1_R @ SY7 @ SY8 @ SY9 ) )
= $false )
| ( ( ~ ! [SY13: $i] :
~ ~ ! [SY14: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY13
@ SY14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(34,plain,
( ( ( ~ ! [SY15: $i] :
~ ~ ! [SY16: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY15
@ SY16 ) )
= $false )
| ( ( ~ ! [SY25: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(35,plain,
( ( ( ~ ! [SY29: $i] :
~ ~ ! [SY30: $i] :
~ ~ ! [SY31: $i] :
~ ( sK1_R @ SY29 @ SY30 @ SY31 ) )
= $false )
| ( ( ~ ! [SY35: $i] :
~ ~ ! [SY36: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY35
@ SY36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(36,plain,
( ( ( ~ ! [SY37: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY37 ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(37,plain,
( ( ( ~ ! [SY63: $i] :
~ ~ ! [SY64: $i] :
~ ~ ! [SY65: $i] :
~ ( sK1_R @ SY63 @ SY64 @ SY65 ) )
= $false )
| ( ( ~ ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY69
@ SY70 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(39,plain,
( ( ( ~ ! [SY85: $i] :
~ ~ ! [SY86: $i] :
~ ~ ! [SY87: $i] :
~ ( sK1_R @ SY85 @ SY86 @ SY87 ) )
= $false )
| ( ( ~ ! [SY91: $i] :
~ ~ ! [SY92: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY91
@ SY92 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(40,plain,
( ( ( ! [SY7: $i] :
~ ~ ! [SY8: $i] :
~ ~ ! [SY9: $i] :
~ ( sK1_R @ SY7 @ SY8 @ SY9 ) )
= $true )
| ( ( ~ ! [SY13: $i] :
~ ~ ! [SY14: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY13
@ SY14 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(41,plain,
( ( ( ! [SY15: $i] :
~ ~ ! [SY16: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY15
@ SY16 ) )
= $true )
| ( ( ~ ! [SY25: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY25 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(42,plain,
( ( ( ! [SY29: $i] :
~ ~ ! [SY30: $i] :
~ ~ ! [SY31: $i] :
~ ( sK1_R @ SY29 @ SY30 @ SY31 ) )
= $true )
| ( ( ~ ! [SY35: $i] :
~ ~ ! [SY36: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY35
@ SY36 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(43,plain,
( ( ( ! [SY37: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY37 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(44,plain,
( ( ( ! [SY63: $i] :
~ ~ ! [SY64: $i] :
~ ~ ! [SY65: $i] :
~ ( sK1_R @ SY63 @ SY64 @ SY65 ) )
= $true )
| ( ( ~ ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY69
@ SY70 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(46,plain,
( ( ( ! [SY85: $i] :
~ ~ ! [SY86: $i] :
~ ~ ! [SY87: $i] :
~ ( sK1_R @ SY85 @ SY86 @ SY87 ) )
= $true )
| ( ( ~ ! [SY91: $i] :
~ ~ ! [SY92: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY91
@ SY92 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(47,plain,
! [SV10: $i] :
( ( ( ~ ~ ! [SY93: $i] :
~ ~ ! [SY94: $i] :
~ ( sK1_R @ SV10 @ SY93 @ SY94 ) )
= $true )
| ( ( ~ ! [SY13: $i] :
~ ~ ! [SY14: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY13
@ SY14 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(48,plain,
! [SV11: $i] :
( ( ( ~ ~ ! [SY95: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV11
@ SY95 ) )
= $true )
| ( ( ~ ! [SY25: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY25 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(49,plain,
! [SV12: $i] :
( ( ( ~ ~ ! [SY99: $i] :
~ ~ ! [SY100: $i] :
~ ( sK1_R @ SV12 @ SY99 @ SY100 ) )
= $true )
| ( ( ~ ! [SY35: $i] :
~ ~ ! [SY36: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY35
@ SY36 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(50,plain,
! [SV13: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SV13 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(51,plain,
! [SV14: $i] :
( ( ( ~ ~ ! [SY109: $i] :
~ ~ ! [SY110: $i] :
~ ( sK1_R @ SV14 @ SY109 @ SY110 ) )
= $true )
| ( ( ~ ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY69
@ SY70 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(53,plain,
! [SV16: $i] :
( ( ( ~ ~ ! [SY115: $i] :
~ ~ ! [SY116: $i] :
~ ( sK1_R @ SV16 @ SY115 @ SY116 ) )
= $true )
| ( ( ~ ! [SY91: $i] :
~ ~ ! [SY92: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY91
@ SY92 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(54,plain,
! [SV10: $i] :
( ( ( ~ ! [SY93: $i] :
~ ~ ! [SY94: $i] :
~ ( sK1_R @ SV10 @ SY93 @ SY94 ) )
= $false )
| ( ( ~ ! [SY13: $i] :
~ ~ ! [SY14: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY13
@ SY14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(55,plain,
! [SV11: $i] :
( ( ( ~ ! [SY95: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV11
@ SY95 ) )
= $false )
| ( ( ~ ! [SY25: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(56,plain,
! [SV12: $i] :
( ( ( ~ ! [SY99: $i] :
~ ~ ! [SY100: $i] :
~ ( sK1_R @ SV12 @ SY99 @ SY100 ) )
= $false )
| ( ( ~ ! [SY35: $i] :
~ ~ ! [SY36: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY35
@ SY36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(57,plain,
! [SV13: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SV13 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(58,plain,
! [SV14: $i] :
( ( ( ~ ! [SY109: $i] :
~ ~ ! [SY110: $i] :
~ ( sK1_R @ SV14 @ SY109 @ SY110 ) )
= $false )
| ( ( ~ ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY69
@ SY70 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(60,plain,
! [SV16: $i] :
( ( ( ~ ! [SY115: $i] :
~ ~ ! [SY116: $i] :
~ ( sK1_R @ SV16 @ SY115 @ SY116 ) )
= $false )
| ( ( ~ ! [SY91: $i] :
~ ~ ! [SY92: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY91
@ SY92 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(61,plain,
! [SV10: $i] :
( ( ( ! [SY93: $i] :
~ ~ ! [SY94: $i] :
~ ( sK1_R @ SV10 @ SY93 @ SY94 ) )
= $true )
| ( ( ~ ! [SY13: $i] :
~ ~ ! [SY14: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY13
@ SY14 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(62,plain,
! [SV11: $i] :
( ( ( ! [SY95: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV11
@ SY95 ) )
= $true )
| ( ( ~ ! [SY25: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY25 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(63,plain,
! [SV12: $i] :
( ( ( ! [SY99: $i] :
~ ~ ! [SY100: $i] :
~ ( sK1_R @ SV12 @ SY99 @ SY100 ) )
= $true )
| ( ( ~ ! [SY35: $i] :
~ ~ ! [SY36: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY35
@ SY36 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(64,plain,
! [SV14: $i] :
( ( ( ! [SY109: $i] :
~ ~ ! [SY110: $i] :
~ ( sK1_R @ SV14 @ SY109 @ SY110 ) )
= $true )
| ( ( ~ ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY69
@ SY70 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(66,plain,
! [SV16: $i] :
( ( ( ! [SY115: $i] :
~ ~ ! [SY116: $i] :
~ ( sK1_R @ SV16 @ SY115 @ SY116 ) )
= $true )
| ( ( ~ ! [SY91: $i] :
~ ~ ! [SY92: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY91
@ SY92 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(67,plain,
! [SV17: $i,SV10: $i] :
( ( ( ~ ~ ! [SY117: $i] :
~ ( sK1_R @ SV10 @ SV17 @ SY117 ) )
= $true )
| ( ( ~ ! [SY13: $i] :
~ ~ ! [SY14: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY13
@ SY14 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(68,plain,
! [SV18: $i,SV11: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV11
@ SV18 ) )
= $true )
| ( ( ~ ! [SY25: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY25 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(69,plain,
! [SV19: $i,SV12: $i] :
( ( ( ~ ~ ! [SY121: $i] :
~ ( sK1_R @ SV12 @ SV19 @ SY121 ) )
= $true )
| ( ( ~ ! [SY35: $i] :
~ ~ ! [SY36: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY35
@ SY36 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(70,plain,
! [SV20: $i,SV14: $i] :
( ( ( ~ ~ ! [SY122: $i] :
~ ( sK1_R @ SV14 @ SV20 @ SY122 ) )
= $true )
| ( ( ~ ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY69
@ SY70 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(72,plain,
! [SV22: $i,SV16: $i] :
( ( ( ~ ~ ! [SY126: $i] :
~ ( sK1_R @ SV16 @ SV22 @ SY126 ) )
= $true )
| ( ( ~ ! [SY91: $i] :
~ ~ ! [SY92: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY91
@ SY92 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(73,plain,
! [SV17: $i,SV10: $i] :
( ( ( ~ ! [SY117: $i] :
~ ( sK1_R @ SV10 @ SV17 @ SY117 ) )
= $false )
| ( ( ~ ! [SY13: $i] :
~ ~ ! [SY14: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY13
@ SY14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(74,plain,
! [SV18: $i,SV11: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV11
@ SV18 )
= $false )
| ( ( ~ ! [SY25: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(75,plain,
! [SV19: $i,SV12: $i] :
( ( ( ~ ! [SY121: $i] :
~ ( sK1_R @ SV12 @ SV19 @ SY121 ) )
= $false )
| ( ( ~ ! [SY35: $i] :
~ ~ ! [SY36: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY35
@ SY36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(76,plain,
! [SV20: $i,SV14: $i] :
( ( ( ~ ! [SY122: $i] :
~ ( sK1_R @ SV14 @ SV20 @ SY122 ) )
= $false )
| ( ( ~ ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY69
@ SY70 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(78,plain,
! [SV22: $i,SV16: $i] :
( ( ( ~ ! [SY126: $i] :
~ ( sK1_R @ SV16 @ SV22 @ SY126 ) )
= $false )
| ( ( ~ ! [SY91: $i] :
~ ~ ! [SY92: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY91
@ SY92 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(79,plain,
! [SV17: $i,SV10: $i] :
( ( ( ! [SY117: $i] :
~ ( sK1_R @ SV10 @ SV17 @ SY117 ) )
= $true )
| ( ( ~ ! [SY13: $i] :
~ ~ ! [SY14: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY13
@ SY14 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(80,plain,
! [SV18: $i,SV11: $i] :
( ( ( ! [SY25: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY25 ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV11
@ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(81,plain,
! [SV19: $i,SV12: $i] :
( ( ( ! [SY121: $i] :
~ ( sK1_R @ SV12 @ SV19 @ SY121 ) )
= $true )
| ( ( ~ ! [SY35: $i] :
~ ~ ! [SY36: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY35
@ SY36 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(82,plain,
! [SV20: $i,SV14: $i] :
( ( ( ! [SY122: $i] :
~ ( sK1_R @ SV14 @ SV20 @ SY122 ) )
= $true )
| ( ( ~ ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY69
@ SY70 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(84,plain,
! [SV22: $i,SV16: $i] :
( ( ( ! [SY126: $i] :
~ ( sK1_R @ SV16 @ SV22 @ SY126 ) )
= $true )
| ( ( ~ ! [SY91: $i] :
~ ~ ! [SY92: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY91
@ SY92 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(85,plain,
! [SV23: $i,SV17: $i,SV10: $i] :
( ( ( ~ ( sK1_R @ SV10 @ SV17 @ SV23 ) )
= $true )
| ( ( ~ ! [SY13: $i] :
~ ~ ! [SY14: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY13
@ SY14 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(86,plain,
! [SV11: $i,SV18: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( sK5_SY25 @ SV18 @ SV11 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV11
@ SV18 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[80]) ).
thf(87,plain,
! [SV24: $i,SV19: $i,SV12: $i] :
( ( ( ~ ( sK1_R @ SV12 @ SV19 @ SV24 ) )
= $true )
| ( ( ~ ! [SY35: $i] :
~ ~ ! [SY36: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY35
@ SY36 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(88,plain,
! [SV25: $i,SV20: $i,SV14: $i] :
( ( ( ~ ( sK1_R @ SV14 @ SV20 @ SV25 ) )
= $true )
| ( ( ~ ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY69
@ SY70 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(90,plain,
! [SV26: $i,SV22: $i,SV16: $i] :
( ( ( ~ ( sK1_R @ SV16 @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ! [SY91: $i] :
~ ~ ! [SY92: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY91
@ SY92 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(91,plain,
! [SV23: $i,SV17: $i,SV10: $i] :
( ( ( sK1_R @ SV10 @ SV17 @ SV23 )
= $false )
| ( ( ~ ! [SY13: $i] :
~ ~ ! [SY14: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY13
@ SY14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(92,plain,
! [SV11: $i,SV18: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( sK5_SY25 @ SV18 @ SV11 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV11
@ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(93,plain,
! [SV24: $i,SV19: $i,SV12: $i] :
( ( ( sK1_R @ SV12 @ SV19 @ SV24 )
= $false )
| ( ( ~ ! [SY35: $i] :
~ ~ ! [SY36: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY35
@ SY36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(94,plain,
! [SV25: $i,SV20: $i,SV14: $i] :
( ( ( sK1_R @ SV14 @ SV20 @ SV25 )
= $false )
| ( ( ~ ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY69
@ SY70 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(96,plain,
! [SV26: $i,SV22: $i,SV16: $i] :
( ( ( sK1_R @ SV16 @ SV22 @ SV26 )
= $false )
| ( ( ~ ! [SY91: $i] :
~ ~ ! [SY92: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY91
@ SY92 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(97,plain,
! [SV23: $i,SV17: $i,SV10: $i] :
( ( ( ! [SY13: $i] :
~ ~ ! [SY14: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY13
@ SY14 ) )
= $false )
| ( ( sK1_R @ SV10 @ SV17 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(98,plain,
! [SV24: $i,SV19: $i,SV12: $i] :
( ( ( ! [SY35: $i] :
~ ~ ! [SY36: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY35
@ SY36 ) )
= $false )
| ( ( sK1_R @ SV12 @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(99,plain,
! [SV25: $i,SV20: $i,SV14: $i] :
( ( ( ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY69
@ SY70 ) )
= $false )
| ( ( sK1_R @ SV14 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(100,plain,
! [SV26: $i,SV22: $i,SV16: $i] :
( ( ( ! [SY91: $i] :
~ ~ ! [SY92: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY91
@ SY92 ) )
= $false )
| ( ( sK1_R @ SV16 @ SV22 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(101,plain,
! [SV10: $i,SV17: $i,SV23: $i] :
( ( ( ~ ~ ! [SY143: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV23 @ SV17 @ SV10 )
@ SY143 ) )
= $false )
| ( ( sK1_R @ SV10 @ SV17 @ SV23 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[97]) ).
thf(102,plain,
! [SV12: $i,SV19: $i,SV24: $i] :
( ( ( ~ ~ ! [SY147: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK8_SY35 @ SV24 @ SV19 @ SV12 )
@ SY147 ) )
= $false )
| ( ( sK1_R @ SV12 @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[98]) ).
thf(103,plain,
! [SV14: $i,SV20: $i,SV25: $i] :
( ( ( ~ ~ ! [SY151: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( sK9_SY69 @ SV25 @ SV20 @ SV14 )
@ SY151 ) )
= $false )
| ( ( sK1_R @ SV14 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[99]) ).
thf(104,plain,
! [SV16: $i,SV22: $i,SV26: $i] :
( ( ( ~ ~ ! [SY155: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( sK10_SY91 @ SV26 @ SV22 @ SV16 )
@ SY155 ) )
= $false )
| ( ( sK1_R @ SV16 @ SV22 @ SV26 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[100]) ).
thf(105,plain,
! [SV10: $i,SV17: $i,SV23: $i] :
( ( ( ~ ! [SY143: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV23 @ SV17 @ SV10 )
@ SY143 ) )
= $true )
| ( ( sK1_R @ SV10 @ SV17 @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(106,plain,
! [SV12: $i,SV19: $i,SV24: $i] :
( ( ( ~ ! [SY147: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK8_SY35 @ SV24 @ SV19 @ SV12 )
@ SY147 ) )
= $true )
| ( ( sK1_R @ SV12 @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(107,plain,
! [SV14: $i,SV20: $i,SV25: $i] :
( ( ( ~ ! [SY151: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( sK9_SY69 @ SV25 @ SV20 @ SV14 )
@ SY151 ) )
= $true )
| ( ( sK1_R @ SV14 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(108,plain,
! [SV16: $i,SV22: $i,SV26: $i] :
( ( ( ~ ! [SY155: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( sK10_SY91 @ SV26 @ SV22 @ SV16 )
@ SY155 ) )
= $true )
| ( ( sK1_R @ SV16 @ SV22 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(109,plain,
! [SV10: $i,SV17: $i,SV23: $i] :
( ( ( ! [SY143: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV23 @ SV17 @ SV10 )
@ SY143 ) )
= $false )
| ( ( sK1_R @ SV10 @ SV17 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(110,plain,
! [SV12: $i,SV19: $i,SV24: $i] :
( ( ( ! [SY147: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK8_SY35 @ SV24 @ SV19 @ SV12 )
@ SY147 ) )
= $false )
| ( ( sK1_R @ SV12 @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(111,plain,
! [SV14: $i,SV20: $i,SV25: $i] :
( ( ( ! [SY151: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( sK9_SY69 @ SV25 @ SV20 @ SV14 )
@ SY151 ) )
= $false )
| ( ( sK1_R @ SV14 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(112,plain,
! [SV16: $i,SV22: $i,SV26: $i] :
( ( ( ! [SY155: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( sK10_SY91 @ SV26 @ SV22 @ SV16 )
@ SY155 ) )
= $false )
| ( ( sK1_R @ SV16 @ SV22 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(113,plain,
! [SV10: $i,SV17: $i,SV23: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV23 @ SV17 @ SV10 )
@ ( sK11_SY143 @ SV10 @ SV17 @ SV23 ) ) )
= $false )
| ( ( sK1_R @ SV10 @ SV17 @ SV23 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[109]) ).
thf(114,plain,
! [SV12: $i,SV19: $i,SV24: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK8_SY35 @ SV24 @ SV19 @ SV12 )
@ ( sK12_SY147 @ SV12 @ SV19 @ SV24 ) ) )
= $false )
| ( ( sK1_R @ SV12 @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[110]) ).
thf(115,plain,
! [SV14: $i,SV20: $i,SV25: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( sK9_SY69 @ SV25 @ SV20 @ SV14 )
@ ( sK13_SY151 @ SV14 @ SV20 @ SV25 ) ) )
= $false )
| ( ( sK1_R @ SV14 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[111]) ).
thf(116,plain,
! [SV16: $i,SV22: $i,SV26: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( sK10_SY91 @ SV26 @ SV22 @ SV16 )
@ ( sK14_SY155 @ SV16 @ SV22 @ SV26 ) ) )
= $false )
| ( ( sK1_R @ SV16 @ SV22 @ SV26 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[112]) ).
thf(117,plain,
! [SV10: $i,SV17: $i,SV23: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV23 @ SV17 @ SV10 )
@ ( sK11_SY143 @ SV10 @ SV17 @ SV23 ) )
= $true )
| ( ( sK1_R @ SV10 @ SV17 @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(118,plain,
! [SV12: $i,SV19: $i,SV24: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK8_SY35 @ SV24 @ SV19 @ SV12 )
@ ( sK12_SY147 @ SV12 @ SV19 @ SV24 ) )
= $true )
| ( ( sK1_R @ SV12 @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(119,plain,
! [SV14: $i,SV20: $i,SV25: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( sK9_SY69 @ SV25 @ SV20 @ SV14 )
@ ( sK13_SY151 @ SV14 @ SV20 @ SV25 ) )
= $true )
| ( ( sK1_R @ SV14 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(120,plain,
! [SV16: $i,SV22: $i,SV26: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( sK10_SY91 @ SV26 @ SV22 @ SV16 )
@ ( sK14_SY155 @ SV16 @ SV22 @ SV26 ) )
= $true )
| ( ( sK1_R @ SV16 @ SV22 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(121,plain,
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) )
= ( sK1_R @ sK2_SY0 @ sK3_SY3 @ sK4_SY5 ) )
= $false ),
inference(res,[status(thm)],[15,11]) ).
thf(122,plain,
( ( ~ ~ ! [SY171: $i] :
~ ~ ! [SY172: $i] :
~ ~ ! [SY173: $i] :
~ ( sK1_R @ SY171 @ SY172 @ SY173 )
| ~ ! [SY177: $i] :
~ ~ ! [SY178: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY177
@ SY178 ) )
= $true ),
inference(choice,[status(thm)],[15]) ).
thf(123,plain,
( ( ~ ~ ! [SY179: $i] :
~ ~ ! [SY180: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY179
@ SY180 )
| ~ ! [SY189: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY189 ) )
= $true ),
inference(choice,[status(thm)],[15]) ).
thf(124,plain,
( ( ~ ~ ! [SY193: $i] :
~ ~ ! [SY194: $i] :
~ ~ ! [SY195: $i] :
~ ( sK1_R @ SY193 @ SY194 @ SY195 )
| ~ ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY199
@ SY200 ) )
= $true ),
inference(choice,[status(thm)],[15]) ).
thf(125,plain,
( ( ~ ~ ! [SY201: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY201 )
| ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) ) )
= $true ),
inference(choice,[status(thm)],[15]) ).
thf(126,plain,
( ( ~ ~ ! [SY227: $i] :
~ ~ ! [SY228: $i] :
~ ~ ! [SY229: $i] :
~ ( sK1_R @ SY227 @ SY228 @ SY229 )
| ~ ! [SY233: $i] :
~ ~ ! [SY234: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY233
@ SY234 ) )
= $true ),
inference(choice,[status(thm)],[15]) ).
thf(127,plain,
( ( ~ ~ ! [SY235: $i] :
~ ~ ! [SY236: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY235
@ SY236 )
| ~ ! [SY245: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY245 ) )
= $true ),
inference(choice,[status(thm)],[15]) ).
thf(128,plain,
( ( ~ ~ ! [SY249: $i] :
~ ~ ! [SY250: $i] :
~ ~ ! [SY251: $i] :
~ ( sK1_R @ SY249 @ SY250 @ SY251 )
| ~ ! [SY255: $i] :
~ ~ ! [SY256: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY255
@ SY256 ) )
= $true ),
inference(choice,[status(thm)],[15]) ).
thf(129,plain,
( ( ( ~ ~ ! [SY171: $i] :
~ ~ ! [SY172: $i] :
~ ~ ! [SY173: $i] :
~ ( sK1_R @ SY171 @ SY172 @ SY173 ) )
= $true )
| ( ( ~ ! [SY177: $i] :
~ ~ ! [SY178: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY177
@ SY178 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(130,plain,
( ( ( ~ ~ ! [SY179: $i] :
~ ~ ! [SY180: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY179
@ SY180 ) )
= $true )
| ( ( ~ ! [SY189: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY189 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(131,plain,
( ( ( ~ ~ ! [SY193: $i] :
~ ~ ! [SY194: $i] :
~ ~ ! [SY195: $i] :
~ ( sK1_R @ SY193 @ SY194 @ SY195 ) )
= $true )
| ( ( ~ ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY199
@ SY200 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(132,plain,
( ( ( ~ ~ ! [SY201: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY201 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(133,plain,
( ( ( ~ ~ ! [SY227: $i] :
~ ~ ! [SY228: $i] :
~ ~ ! [SY229: $i] :
~ ( sK1_R @ SY227 @ SY228 @ SY229 ) )
= $true )
| ( ( ~ ! [SY233: $i] :
~ ~ ! [SY234: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY233
@ SY234 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(134,plain,
( ( ( ~ ~ ! [SY235: $i] :
~ ~ ! [SY236: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY235
@ SY236 ) )
= $true )
| ( ( ~ ! [SY245: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY245 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(135,plain,
( ( ( ~ ~ ! [SY249: $i] :
~ ~ ! [SY250: $i] :
~ ~ ! [SY251: $i] :
~ ( sK1_R @ SY249 @ SY250 @ SY251 ) )
= $true )
| ( ( ~ ! [SY255: $i] :
~ ~ ! [SY256: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY255
@ SY256 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(136,plain,
( ( ( ~ ! [SY171: $i] :
~ ~ ! [SY172: $i] :
~ ~ ! [SY173: $i] :
~ ( sK1_R @ SY171 @ SY172 @ SY173 ) )
= $false )
| ( ( ~ ! [SY177: $i] :
~ ~ ! [SY178: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY177
@ SY178 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(137,plain,
( ( ( ~ ! [SY179: $i] :
~ ~ ! [SY180: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY179
@ SY180 ) )
= $false )
| ( ( ~ ! [SY189: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY189 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(138,plain,
( ( ( ~ ! [SY193: $i] :
~ ~ ! [SY194: $i] :
~ ~ ! [SY195: $i] :
~ ( sK1_R @ SY193 @ SY194 @ SY195 ) )
= $false )
| ( ( ~ ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY199
@ SY200 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(139,plain,
( ( ( ~ ! [SY201: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY201 ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(140,plain,
( ( ( ~ ! [SY227: $i] :
~ ~ ! [SY228: $i] :
~ ~ ! [SY229: $i] :
~ ( sK1_R @ SY227 @ SY228 @ SY229 ) )
= $false )
| ( ( ~ ! [SY233: $i] :
~ ~ ! [SY234: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY233
@ SY234 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(141,plain,
( ( ( ~ ! [SY235: $i] :
~ ~ ! [SY236: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY235
@ SY236 ) )
= $false )
| ( ( ~ ! [SY245: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY245 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(142,plain,
( ( ( ~ ! [SY249: $i] :
~ ~ ! [SY250: $i] :
~ ~ ! [SY251: $i] :
~ ( sK1_R @ SY249 @ SY250 @ SY251 ) )
= $false )
| ( ( ~ ! [SY255: $i] :
~ ~ ! [SY256: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY255
@ SY256 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(143,plain,
( ( ( ! [SY171: $i] :
~ ~ ! [SY172: $i] :
~ ~ ! [SY173: $i] :
~ ( sK1_R @ SY171 @ SY172 @ SY173 ) )
= $true )
| ( ( ~ ! [SY177: $i] :
~ ~ ! [SY178: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY177
@ SY178 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(144,plain,
( ( ( ! [SY179: $i] :
~ ~ ! [SY180: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY179
@ SY180 ) )
= $true )
| ( ( ~ ! [SY189: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY189 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(145,plain,
( ( ( ! [SY193: $i] :
~ ~ ! [SY194: $i] :
~ ~ ! [SY195: $i] :
~ ( sK1_R @ SY193 @ SY194 @ SY195 ) )
= $true )
| ( ( ~ ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY199
@ SY200 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(146,plain,
( ( ( ! [SY201: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY201 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(147,plain,
( ( ( ! [SY227: $i] :
~ ~ ! [SY228: $i] :
~ ~ ! [SY229: $i] :
~ ( sK1_R @ SY227 @ SY228 @ SY229 ) )
= $true )
| ( ( ~ ! [SY233: $i] :
~ ~ ! [SY234: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY233
@ SY234 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(148,plain,
( ( ( ! [SY235: $i] :
~ ~ ! [SY236: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY235
@ SY236 ) )
= $true )
| ( ( ~ ! [SY245: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY245 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(149,plain,
( ( ( ! [SY249: $i] :
~ ~ ! [SY250: $i] :
~ ~ ! [SY251: $i] :
~ ( sK1_R @ SY249 @ SY250 @ SY251 ) )
= $true )
| ( ( ~ ! [SY255: $i] :
~ ~ ! [SY256: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY255
@ SY256 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(150,plain,
! [SV34: $i] :
( ( ( ~ ~ ! [SY257: $i] :
~ ~ ! [SY258: $i] :
~ ( sK1_R @ SV34 @ SY257 @ SY258 ) )
= $true )
| ( ( ~ ! [SY177: $i] :
~ ~ ! [SY178: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY177
@ SY178 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(151,plain,
! [SV35: $i] :
( ( ( ~ ~ ! [SY259: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV35
@ SY259 ) )
= $true )
| ( ( ~ ! [SY189: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY189 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(152,plain,
! [SV36: $i] :
( ( ( ~ ~ ! [SY263: $i] :
~ ~ ! [SY264: $i] :
~ ( sK1_R @ SV36 @ SY263 @ SY264 ) )
= $true )
| ( ( ~ ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY199
@ SY200 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(153,plain,
! [SV37: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SV37 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(154,plain,
! [SV38: $i] :
( ( ( ~ ~ ! [SY273: $i] :
~ ~ ! [SY274: $i] :
~ ( sK1_R @ SV38 @ SY273 @ SY274 ) )
= $true )
| ( ( ~ ! [SY233: $i] :
~ ~ ! [SY234: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY233
@ SY234 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(155,plain,
! [SV39: $i] :
( ( ( ~ ~ ! [SY275: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV39
@ SY275 ) )
= $true )
| ( ( ~ ! [SY245: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY245 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(156,plain,
! [SV40: $i] :
( ( ( ~ ~ ! [SY279: $i] :
~ ~ ! [SY280: $i] :
~ ( sK1_R @ SV40 @ SY279 @ SY280 ) )
= $true )
| ( ( ~ ! [SY255: $i] :
~ ~ ! [SY256: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY255
@ SY256 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(157,plain,
! [SV34: $i] :
( ( ( ~ ! [SY257: $i] :
~ ~ ! [SY258: $i] :
~ ( sK1_R @ SV34 @ SY257 @ SY258 ) )
= $false )
| ( ( ~ ! [SY177: $i] :
~ ~ ! [SY178: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY177
@ SY178 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(158,plain,
! [SV35: $i] :
( ( ( ~ ! [SY259: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV35
@ SY259 ) )
= $false )
| ( ( ~ ! [SY189: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY189 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(159,plain,
! [SV36: $i] :
( ( ( ~ ! [SY263: $i] :
~ ~ ! [SY264: $i] :
~ ( sK1_R @ SV36 @ SY263 @ SY264 ) )
= $false )
| ( ( ~ ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY199
@ SY200 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(160,plain,
! [SV37: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SV37 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(161,plain,
! [SV38: $i] :
( ( ( ~ ! [SY273: $i] :
~ ~ ! [SY274: $i] :
~ ( sK1_R @ SV38 @ SY273 @ SY274 ) )
= $false )
| ( ( ~ ! [SY233: $i] :
~ ~ ! [SY234: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY233
@ SY234 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(162,plain,
! [SV39: $i] :
( ( ( ~ ! [SY275: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV39
@ SY275 ) )
= $false )
| ( ( ~ ! [SY245: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY245 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(163,plain,
! [SV40: $i] :
( ( ( ~ ! [SY279: $i] :
~ ~ ! [SY280: $i] :
~ ( sK1_R @ SV40 @ SY279 @ SY280 ) )
= $false )
| ( ( ~ ! [SY255: $i] :
~ ~ ! [SY256: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY255
@ SY256 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(164,plain,
! [SV34: $i] :
( ( ( ! [SY257: $i] :
~ ~ ! [SY258: $i] :
~ ( sK1_R @ SV34 @ SY257 @ SY258 ) )
= $true )
| ( ( ~ ! [SY177: $i] :
~ ~ ! [SY178: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY177
@ SY178 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(165,plain,
! [SV35: $i] :
( ( ( ! [SY259: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV35
@ SY259 ) )
= $true )
| ( ( ~ ! [SY189: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY189 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(166,plain,
! [SV36: $i] :
( ( ( ! [SY263: $i] :
~ ~ ! [SY264: $i] :
~ ( sK1_R @ SV36 @ SY263 @ SY264 ) )
= $true )
| ( ( ~ ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY199
@ SY200 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(167,plain,
! [SV38: $i] :
( ( ( ! [SY273: $i] :
~ ~ ! [SY274: $i] :
~ ( sK1_R @ SV38 @ SY273 @ SY274 ) )
= $true )
| ( ( ~ ! [SY233: $i] :
~ ~ ! [SY234: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY233
@ SY234 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(168,plain,
! [SV39: $i] :
( ( ( ! [SY275: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV39
@ SY275 ) )
= $true )
| ( ( ~ ! [SY245: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY245 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(169,plain,
! [SV40: $i] :
( ( ( ! [SY279: $i] :
~ ~ ! [SY280: $i] :
~ ( sK1_R @ SV40 @ SY279 @ SY280 ) )
= $true )
| ( ( ~ ! [SY255: $i] :
~ ~ ! [SY256: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY255
@ SY256 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(170,plain,
! [SV41: $i,SV34: $i] :
( ( ( ~ ~ ! [SY281: $i] :
~ ( sK1_R @ SV34 @ SV41 @ SY281 ) )
= $true )
| ( ( ~ ! [SY177: $i] :
~ ~ ! [SY178: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY177
@ SY178 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(171,plain,
! [SV42: $i,SV35: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV35
@ SV42 ) )
= $true )
| ( ( ~ ! [SY189: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY189 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(172,plain,
! [SV43: $i,SV36: $i] :
( ( ( ~ ~ ! [SY285: $i] :
~ ( sK1_R @ SV36 @ SV43 @ SY285 ) )
= $true )
| ( ( ~ ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY199
@ SY200 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(173,plain,
! [SV44: $i,SV38: $i] :
( ( ( ~ ~ ! [SY286: $i] :
~ ( sK1_R @ SV38 @ SV44 @ SY286 ) )
= $true )
| ( ( ~ ! [SY233: $i] :
~ ~ ! [SY234: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY233
@ SY234 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(174,plain,
! [SV45: $i,SV39: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV39
@ SV45 ) )
= $true )
| ( ( ~ ! [SY245: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY245 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(175,plain,
! [SV46: $i,SV40: $i] :
( ( ( ~ ~ ! [SY290: $i] :
~ ( sK1_R @ SV40 @ SV46 @ SY290 ) )
= $true )
| ( ( ~ ! [SY255: $i] :
~ ~ ! [SY256: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY255
@ SY256 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(176,plain,
! [SV41: $i,SV34: $i] :
( ( ( ~ ! [SY281: $i] :
~ ( sK1_R @ SV34 @ SV41 @ SY281 ) )
= $false )
| ( ( ~ ! [SY177: $i] :
~ ~ ! [SY178: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY177
@ SY178 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(177,plain,
! [SV42: $i,SV35: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV35
@ SV42 )
= $false )
| ( ( ~ ! [SY189: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY189 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(178,plain,
! [SV43: $i,SV36: $i] :
( ( ( ~ ! [SY285: $i] :
~ ( sK1_R @ SV36 @ SV43 @ SY285 ) )
= $false )
| ( ( ~ ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY199
@ SY200 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(179,plain,
! [SV44: $i,SV38: $i] :
( ( ( ~ ! [SY286: $i] :
~ ( sK1_R @ SV38 @ SV44 @ SY286 ) )
= $false )
| ( ( ~ ! [SY233: $i] :
~ ~ ! [SY234: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY233
@ SY234 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(180,plain,
! [SV45: $i,SV39: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV39
@ SV45 )
= $false )
| ( ( ~ ! [SY245: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY245 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(181,plain,
! [SV46: $i,SV40: $i] :
( ( ( ~ ! [SY290: $i] :
~ ( sK1_R @ SV40 @ SV46 @ SY290 ) )
= $false )
| ( ( ~ ! [SY255: $i] :
~ ~ ! [SY256: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY255
@ SY256 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(182,plain,
! [SV41: $i,SV34: $i] :
( ( ( ! [SY281: $i] :
~ ( sK1_R @ SV34 @ SV41 @ SY281 ) )
= $true )
| ( ( ~ ! [SY177: $i] :
~ ~ ! [SY178: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY177
@ SY178 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(183,plain,
! [SV42: $i,SV35: $i] :
( ( ( ! [SY189: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY189 ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV35
@ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(184,plain,
! [SV43: $i,SV36: $i] :
( ( ( ! [SY285: $i] :
~ ( sK1_R @ SV36 @ SV43 @ SY285 ) )
= $true )
| ( ( ~ ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY199
@ SY200 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(185,plain,
! [SV44: $i,SV38: $i] :
( ( ( ! [SY286: $i] :
~ ( sK1_R @ SV38 @ SV44 @ SY286 ) )
= $true )
| ( ( ~ ! [SY233: $i] :
~ ~ ! [SY234: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY233
@ SY234 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(186,plain,
! [SV45: $i,SV39: $i] :
( ( ( ! [SY245: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY245 ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV39
@ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(187,plain,
! [SV46: $i,SV40: $i] :
( ( ( ! [SY290: $i] :
~ ( sK1_R @ SV40 @ SV46 @ SY290 ) )
= $true )
| ( ( ~ ! [SY255: $i] :
~ ~ ! [SY256: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY255
@ SY256 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(188,plain,
! [SV47: $i,SV41: $i,SV34: $i] :
( ( ( ~ ( sK1_R @ SV34 @ SV41 @ SV47 ) )
= $true )
| ( ( ~ ! [SY177: $i] :
~ ~ ! [SY178: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY177
@ SY178 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(189,plain,
! [SV35: $i,SV42: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( sK15_SY189 @ SV42 @ SV35 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV35
@ SV42 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[183]) ).
thf(190,plain,
! [SV48: $i,SV43: $i,SV36: $i] :
( ( ( ~ ( sK1_R @ SV36 @ SV43 @ SV48 ) )
= $true )
| ( ( ~ ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY199
@ SY200 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(191,plain,
! [SV49: $i,SV44: $i,SV38: $i] :
( ( ( ~ ( sK1_R @ SV38 @ SV44 @ SV49 ) )
= $true )
| ( ( ~ ! [SY233: $i] :
~ ~ ! [SY234: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY233
@ SY234 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(192,plain,
! [SV39: $i,SV45: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( sK16_SY245 @ SV45 @ SV39 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV39
@ SV45 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[186]) ).
thf(193,plain,
! [SV50: $i,SV46: $i,SV40: $i] :
( ( ( ~ ( sK1_R @ SV40 @ SV46 @ SV50 ) )
= $true )
| ( ( ~ ! [SY255: $i] :
~ ~ ! [SY256: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY255
@ SY256 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(194,plain,
! [SV47: $i,SV41: $i,SV34: $i] :
( ( ( sK1_R @ SV34 @ SV41 @ SV47 )
= $false )
| ( ( ~ ! [SY177: $i] :
~ ~ ! [SY178: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY177
@ SY178 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(195,plain,
! [SV35: $i,SV42: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( sK15_SY189 @ SV42 @ SV35 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV35
@ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(196,plain,
! [SV48: $i,SV43: $i,SV36: $i] :
( ( ( sK1_R @ SV36 @ SV43 @ SV48 )
= $false )
| ( ( ~ ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY199
@ SY200 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(197,plain,
! [SV49: $i,SV44: $i,SV38: $i] :
( ( ( sK1_R @ SV38 @ SV44 @ SV49 )
= $false )
| ( ( ~ ! [SY233: $i] :
~ ~ ! [SY234: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY233
@ SY234 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(198,plain,
! [SV39: $i,SV45: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( sK16_SY245 @ SV45 @ SV39 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV39
@ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(199,plain,
! [SV50: $i,SV46: $i,SV40: $i] :
( ( ( sK1_R @ SV40 @ SV46 @ SV50 )
= $false )
| ( ( ~ ! [SY255: $i] :
~ ~ ! [SY256: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY255
@ SY256 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(200,plain,
! [SV47: $i,SV41: $i,SV34: $i] :
( ( ( ! [SY177: $i] :
~ ~ ! [SY178: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY177
@ SY178 ) )
= $false )
| ( ( sK1_R @ SV34 @ SV41 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(201,plain,
! [SV48: $i,SV43: $i,SV36: $i] :
( ( ( ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY199
@ SY200 ) )
= $false )
| ( ( sK1_R @ SV36 @ SV43 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(202,plain,
! [SV49: $i,SV44: $i,SV38: $i] :
( ( ( ! [SY233: $i] :
~ ~ ! [SY234: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY233
@ SY234 ) )
= $false )
| ( ( sK1_R @ SV38 @ SV44 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(203,plain,
! [SV50: $i,SV46: $i,SV40: $i] :
( ( ( ! [SY255: $i] :
~ ~ ! [SY256: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY255
@ SY256 ) )
= $false )
| ( ( sK1_R @ SV40 @ SV46 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(204,plain,
! [SV34: $i,SV41: $i,SV47: $i] :
( ( ( ~ ~ ! [SY307: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK17_SY177 @ SV47 @ SV41 @ SV34 )
@ SY307 ) )
= $false )
| ( ( sK1_R @ SV34 @ SV41 @ SV47 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[200]) ).
thf(205,plain,
! [SV36: $i,SV43: $i,SV48: $i] :
( ( ( ~ ~ ! [SY311: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK18_SY199 @ SV48 @ SV43 @ SV36 )
@ SY311 ) )
= $false )
| ( ( sK1_R @ SV36 @ SV43 @ SV48 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[201]) ).
thf(206,plain,
! [SV38: $i,SV44: $i,SV49: $i] :
( ( ( ~ ~ ! [SY315: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( sK19_SY233 @ SV49 @ SV44 @ SV38 )
@ SY315 ) )
= $false )
| ( ( sK1_R @ SV38 @ SV44 @ SV49 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[202]) ).
thf(207,plain,
! [SV40: $i,SV46: $i,SV50: $i] :
( ( ( ~ ~ ! [SY319: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_SY255 @ SV50 @ SV46 @ SV40 )
@ SY319 ) )
= $false )
| ( ( sK1_R @ SV40 @ SV46 @ SV50 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[203]) ).
thf(208,plain,
! [SV34: $i,SV41: $i,SV47: $i] :
( ( ( ~ ! [SY307: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK17_SY177 @ SV47 @ SV41 @ SV34 )
@ SY307 ) )
= $true )
| ( ( sK1_R @ SV34 @ SV41 @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(209,plain,
! [SV36: $i,SV43: $i,SV48: $i] :
( ( ( ~ ! [SY311: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK18_SY199 @ SV48 @ SV43 @ SV36 )
@ SY311 ) )
= $true )
| ( ( sK1_R @ SV36 @ SV43 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(210,plain,
! [SV38: $i,SV44: $i,SV49: $i] :
( ( ( ~ ! [SY315: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( sK19_SY233 @ SV49 @ SV44 @ SV38 )
@ SY315 ) )
= $true )
| ( ( sK1_R @ SV38 @ SV44 @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(211,plain,
! [SV40: $i,SV46: $i,SV50: $i] :
( ( ( ~ ! [SY319: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_SY255 @ SV50 @ SV46 @ SV40 )
@ SY319 ) )
= $true )
| ( ( sK1_R @ SV40 @ SV46 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(212,plain,
! [SV34: $i,SV41: $i,SV47: $i] :
( ( ( ! [SY307: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK17_SY177 @ SV47 @ SV41 @ SV34 )
@ SY307 ) )
= $false )
| ( ( sK1_R @ SV34 @ SV41 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(213,plain,
! [SV36: $i,SV43: $i,SV48: $i] :
( ( ( ! [SY311: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK18_SY199 @ SV48 @ SV43 @ SV36 )
@ SY311 ) )
= $false )
| ( ( sK1_R @ SV36 @ SV43 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(214,plain,
! [SV38: $i,SV44: $i,SV49: $i] :
( ( ( ! [SY315: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( sK19_SY233 @ SV49 @ SV44 @ SV38 )
@ SY315 ) )
= $false )
| ( ( sK1_R @ SV38 @ SV44 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(215,plain,
! [SV40: $i,SV46: $i,SV50: $i] :
( ( ( ! [SY319: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_SY255 @ SV50 @ SV46 @ SV40 )
@ SY319 ) )
= $false )
| ( ( sK1_R @ SV40 @ SV46 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(216,plain,
! [SV34: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK17_SY177 @ SV47 @ SV41 @ SV34 )
@ ( sK21_SY307 @ SV34 @ SV41 @ SV47 ) ) )
= $false )
| ( ( sK1_R @ SV34 @ SV41 @ SV47 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[212]) ).
thf(217,plain,
! [SV36: $i,SV43: $i,SV48: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK18_SY199 @ SV48 @ SV43 @ SV36 )
@ ( sK22_SY311 @ SV36 @ SV43 @ SV48 ) ) )
= $false )
| ( ( sK1_R @ SV36 @ SV43 @ SV48 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[213]) ).
thf(218,plain,
! [SV38: $i,SV44: $i,SV49: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( sK19_SY233 @ SV49 @ SV44 @ SV38 )
@ ( sK23_SY315 @ SV38 @ SV44 @ SV49 ) ) )
= $false )
| ( ( sK1_R @ SV38 @ SV44 @ SV49 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[214]) ).
thf(219,plain,
! [SV40: $i,SV46: $i,SV50: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_SY255 @ SV50 @ SV46 @ SV40 )
@ ( sK24_SY319 @ SV40 @ SV46 @ SV50 ) ) )
= $false )
| ( ( sK1_R @ SV40 @ SV46 @ SV50 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[215]) ).
thf(220,plain,
! [SV34: $i,SV41: $i,SV47: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK17_SY177 @ SV47 @ SV41 @ SV34 )
@ ( sK21_SY307 @ SV34 @ SV41 @ SV47 ) )
= $true )
| ( ( sK1_R @ SV34 @ SV41 @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(221,plain,
! [SV36: $i,SV43: $i,SV48: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK18_SY199 @ SV48 @ SV43 @ SV36 )
@ ( sK22_SY311 @ SV36 @ SV43 @ SV48 ) )
= $true )
| ( ( sK1_R @ SV36 @ SV43 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(222,plain,
! [SV38: $i,SV44: $i,SV49: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( sK19_SY233 @ SV49 @ SV44 @ SV38 )
@ ( sK23_SY315 @ SV38 @ SV44 @ SV49 ) )
= $true )
| ( ( sK1_R @ SV38 @ SV44 @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(223,plain,
! [SV40: $i,SV46: $i,SV50: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_SY255 @ SV50 @ SV46 @ SV40 )
@ ( sK24_SY319 @ SV40 @ SV46 @ SV50 ) )
= $true )
| ( ( sK1_R @ SV40 @ SV46 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(224,plain,
( ( ( ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) )
= sK4_SY5 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
= sK3_SY3 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
= sK2_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[121]) ).
thf(225,plain,
! [SV51: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SV51 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(rename,[status(thm)],[57]) ).
thf(228,plain,
! [SV51: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) )
= ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SV51 )
= $false ) ),
inference(res,[status(thm)],[225,15]) ).
thf(229,plain,
! [SV51: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SV51 )
= ( sK1_R @ sK2_SY0 @ sK3_SY3 @ sK4_SY5 ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[225,11]) ).
thf(230,plain,
( ( ~ ~ ! [SY335: $i] :
~ ~ ! [SY336: $i] :
~ ~ ! [SY337: $i] :
~ ( sK1_R @ SY335 @ SY336 @ SY337 )
| ~ ! [SY341: $i] :
~ ~ ! [SY342: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY341
@ SY342 ) )
= $true ),
inference(choice,[status(thm)],[225]) ).
thf(231,plain,
( ( ~ ~ ! [SY343: $i] :
~ ~ ! [SY344: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY343
@ SY344 )
| ~ ! [SY353: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY353 ) )
= $true ),
inference(choice,[status(thm)],[225]) ).
thf(232,plain,
( ( ~ ~ ! [SY357: $i] :
~ ~ ! [SY358: $i] :
~ ~ ! [SY359: $i] :
~ ( sK1_R @ SY357 @ SY358 @ SY359 )
| ~ ! [SY363: $i] :
~ ~ ! [SY364: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY363
@ SY364 ) )
= $true ),
inference(choice,[status(thm)],[225]) ).
thf(233,plain,
( ( ~ ~ ! [SY365: $i] :
~ ~ ! [SY366: $i] :
~ ~ ! [SY367: $i] :
~ ( sK1_R @ SY365 @ SY366 @ SY367 )
| ~ ! [SY371: $i] :
~ ~ ! [SY372: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY371
@ SY372 ) )
= $true ),
inference(choice,[status(thm)],[225]) ).
thf(234,plain,
( ( ~ ~ ! [SY373: $i] :
~ ~ ! [SY374: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY373
@ SY374 )
| ~ ! [SY383: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY383 ) )
= $true ),
inference(choice,[status(thm)],[225]) ).
thf(235,plain,
( ( ~ ~ ! [SY387: $i] :
~ ~ ! [SY388: $i] :
~ ~ ! [SY389: $i] :
~ ( sK1_R @ SY387 @ SY388 @ SY389 )
| ~ ! [SY393: $i] :
~ ~ ! [SY394: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY393
@ SY394 ) )
= $true ),
inference(choice,[status(thm)],[225]) ).
thf(236,plain,
( ( ~ ~ ! [SY395: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY395 )
| ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) ) )
= $true ),
inference(choice,[status(thm)],[225]) ).
thf(237,plain,
( ( ~ ~ ! [SY421: $i] :
~ ~ ! [SY422: $i] :
~ ~ ! [SY423: $i] :
~ ( sK1_R @ SY421 @ SY422 @ SY423 )
| ~ ! [SY427: $i] :
~ ~ ! [SY428: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY427
@ SY428 ) )
= $true ),
inference(choice,[status(thm)],[225]) ).
thf(238,plain,
( ( ~ ~ ! [SY429: $i] :
~ ~ ! [SY430: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY429
@ SY430 )
| ~ ! [SY439: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY439 ) )
= $true ),
inference(choice,[status(thm)],[225]) ).
thf(239,plain,
( ( ~ ~ ! [SY443: $i] :
~ ~ ! [SY444: $i] :
~ ~ ! [SY445: $i] :
~ ( sK1_R @ SY443 @ SY444 @ SY445 )
| ~ ! [SY449: $i] :
~ ~ ! [SY450: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY449
@ SY450 ) )
= $true ),
inference(choice,[status(thm)],[225]) ).
thf(240,plain,
( ( ( ~ ~ ! [SY335: $i] :
~ ~ ! [SY336: $i] :
~ ~ ! [SY337: $i] :
~ ( sK1_R @ SY335 @ SY336 @ SY337 ) )
= $true )
| ( ( ~ ! [SY341: $i] :
~ ~ ! [SY342: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY341
@ SY342 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(241,plain,
( ( ( ~ ~ ! [SY343: $i] :
~ ~ ! [SY344: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY343
@ SY344 ) )
= $true )
| ( ( ~ ! [SY353: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY353 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(242,plain,
( ( ( ~ ~ ! [SY357: $i] :
~ ~ ! [SY358: $i] :
~ ~ ! [SY359: $i] :
~ ( sK1_R @ SY357 @ SY358 @ SY359 ) )
= $true )
| ( ( ~ ! [SY363: $i] :
~ ~ ! [SY364: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY363
@ SY364 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(243,plain,
( ( ( ~ ~ ! [SY365: $i] :
~ ~ ! [SY366: $i] :
~ ~ ! [SY367: $i] :
~ ( sK1_R @ SY365 @ SY366 @ SY367 ) )
= $true )
| ( ( ~ ! [SY371: $i] :
~ ~ ! [SY372: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY371
@ SY372 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(244,plain,
( ( ( ~ ~ ! [SY373: $i] :
~ ~ ! [SY374: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY373
@ SY374 ) )
= $true )
| ( ( ~ ! [SY383: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY383 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(245,plain,
( ( ( ~ ~ ! [SY387: $i] :
~ ~ ! [SY388: $i] :
~ ~ ! [SY389: $i] :
~ ( sK1_R @ SY387 @ SY388 @ SY389 ) )
= $true )
| ( ( ~ ! [SY393: $i] :
~ ~ ! [SY394: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY393
@ SY394 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(246,plain,
( ( ( ~ ~ ! [SY395: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY395 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(247,plain,
( ( ( ~ ~ ! [SY421: $i] :
~ ~ ! [SY422: $i] :
~ ~ ! [SY423: $i] :
~ ( sK1_R @ SY421 @ SY422 @ SY423 ) )
= $true )
| ( ( ~ ! [SY427: $i] :
~ ~ ! [SY428: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY427
@ SY428 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(248,plain,
( ( ( ~ ~ ! [SY429: $i] :
~ ~ ! [SY430: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY429
@ SY430 ) )
= $true )
| ( ( ~ ! [SY439: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY439 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(249,plain,
( ( ( ~ ~ ! [SY443: $i] :
~ ~ ! [SY444: $i] :
~ ~ ! [SY445: $i] :
~ ( sK1_R @ SY443 @ SY444 @ SY445 ) )
= $true )
| ( ( ~ ! [SY449: $i] :
~ ~ ! [SY450: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY449
@ SY450 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(250,plain,
( ( ( ~ ! [SY335: $i] :
~ ~ ! [SY336: $i] :
~ ~ ! [SY337: $i] :
~ ( sK1_R @ SY335 @ SY336 @ SY337 ) )
= $false )
| ( ( ~ ! [SY341: $i] :
~ ~ ! [SY342: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY341
@ SY342 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(251,plain,
( ( ( ~ ! [SY343: $i] :
~ ~ ! [SY344: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY343
@ SY344 ) )
= $false )
| ( ( ~ ! [SY353: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY353 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(252,plain,
( ( ( ~ ! [SY357: $i] :
~ ~ ! [SY358: $i] :
~ ~ ! [SY359: $i] :
~ ( sK1_R @ SY357 @ SY358 @ SY359 ) )
= $false )
| ( ( ~ ! [SY363: $i] :
~ ~ ! [SY364: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY363
@ SY364 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(253,plain,
( ( ( ~ ! [SY365: $i] :
~ ~ ! [SY366: $i] :
~ ~ ! [SY367: $i] :
~ ( sK1_R @ SY365 @ SY366 @ SY367 ) )
= $false )
| ( ( ~ ! [SY371: $i] :
~ ~ ! [SY372: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY371
@ SY372 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(254,plain,
( ( ( ~ ! [SY373: $i] :
~ ~ ! [SY374: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY373
@ SY374 ) )
= $false )
| ( ( ~ ! [SY383: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY383 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(255,plain,
( ( ( ~ ! [SY387: $i] :
~ ~ ! [SY388: $i] :
~ ~ ! [SY389: $i] :
~ ( sK1_R @ SY387 @ SY388 @ SY389 ) )
= $false )
| ( ( ~ ! [SY393: $i] :
~ ~ ! [SY394: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY393
@ SY394 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(256,plain,
( ( ( ~ ! [SY395: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY395 ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(257,plain,
( ( ( ~ ! [SY421: $i] :
~ ~ ! [SY422: $i] :
~ ~ ! [SY423: $i] :
~ ( sK1_R @ SY421 @ SY422 @ SY423 ) )
= $false )
| ( ( ~ ! [SY427: $i] :
~ ~ ! [SY428: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY427
@ SY428 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(258,plain,
( ( ( ~ ! [SY429: $i] :
~ ~ ! [SY430: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY429
@ SY430 ) )
= $false )
| ( ( ~ ! [SY439: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY439 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(259,plain,
( ( ( ~ ! [SY443: $i] :
~ ~ ! [SY444: $i] :
~ ~ ! [SY445: $i] :
~ ( sK1_R @ SY443 @ SY444 @ SY445 ) )
= $false )
| ( ( ~ ! [SY449: $i] :
~ ~ ! [SY450: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY449
@ SY450 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(260,plain,
( ( ( ! [SY335: $i] :
~ ~ ! [SY336: $i] :
~ ~ ! [SY337: $i] :
~ ( sK1_R @ SY335 @ SY336 @ SY337 ) )
= $true )
| ( ( ~ ! [SY341: $i] :
~ ~ ! [SY342: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY341
@ SY342 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(261,plain,
( ( ( ! [SY343: $i] :
~ ~ ! [SY344: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY343
@ SY344 ) )
= $true )
| ( ( ~ ! [SY353: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY353 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(262,plain,
( ( ( ! [SY357: $i] :
~ ~ ! [SY358: $i] :
~ ~ ! [SY359: $i] :
~ ( sK1_R @ SY357 @ SY358 @ SY359 ) )
= $true )
| ( ( ~ ! [SY363: $i] :
~ ~ ! [SY364: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY363
@ SY364 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(263,plain,
( ( ( ! [SY365: $i] :
~ ~ ! [SY366: $i] :
~ ~ ! [SY367: $i] :
~ ( sK1_R @ SY365 @ SY366 @ SY367 ) )
= $true )
| ( ( ~ ! [SY371: $i] :
~ ~ ! [SY372: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY371
@ SY372 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(264,plain,
( ( ( ! [SY373: $i] :
~ ~ ! [SY374: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY373
@ SY374 ) )
= $true )
| ( ( ~ ! [SY383: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY383 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(265,plain,
( ( ( ! [SY387: $i] :
~ ~ ! [SY388: $i] :
~ ~ ! [SY389: $i] :
~ ( sK1_R @ SY387 @ SY388 @ SY389 ) )
= $true )
| ( ( ~ ! [SY393: $i] :
~ ~ ! [SY394: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY393
@ SY394 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(266,plain,
( ( ( ! [SY395: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY395 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(267,plain,
( ( ( ! [SY421: $i] :
~ ~ ! [SY422: $i] :
~ ~ ! [SY423: $i] :
~ ( sK1_R @ SY421 @ SY422 @ SY423 ) )
= $true )
| ( ( ~ ! [SY427: $i] :
~ ~ ! [SY428: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY427
@ SY428 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(268,plain,
( ( ( ! [SY429: $i] :
~ ~ ! [SY430: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY429
@ SY430 ) )
= $true )
| ( ( ~ ! [SY439: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY439 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(269,plain,
( ( ( ! [SY443: $i] :
~ ~ ! [SY444: $i] :
~ ~ ! [SY445: $i] :
~ ( sK1_R @ SY443 @ SY444 @ SY445 ) )
= $true )
| ( ( ~ ! [SY449: $i] :
~ ~ ! [SY450: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY449
@ SY450 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(270,plain,
! [SV62: $i] :
( ( ( ~ ~ ! [SY451: $i] :
~ ~ ! [SY452: $i] :
~ ( sK1_R @ SV62 @ SY451 @ SY452 ) )
= $true )
| ( ( ~ ! [SY341: $i] :
~ ~ ! [SY342: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY341
@ SY342 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(271,plain,
! [SV63: $i] :
( ( ( ~ ~ ! [SY453: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV63
@ SY453 ) )
= $true )
| ( ( ~ ! [SY353: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY353 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(272,plain,
! [SV64: $i] :
( ( ( ~ ~ ! [SY457: $i] :
~ ~ ! [SY458: $i] :
~ ( sK1_R @ SV64 @ SY457 @ SY458 ) )
= $true )
| ( ( ~ ! [SY363: $i] :
~ ~ ! [SY364: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY363
@ SY364 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(273,plain,
! [SV65: $i] :
( ( ( ~ ~ ! [SY459: $i] :
~ ~ ! [SY460: $i] :
~ ( sK1_R @ SV65 @ SY459 @ SY460 ) )
= $true )
| ( ( ~ ! [SY371: $i] :
~ ~ ! [SY372: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY371
@ SY372 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(274,plain,
! [SV66: $i] :
( ( ( ~ ~ ! [SY461: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV66
@ SY461 ) )
= $true )
| ( ( ~ ! [SY383: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY383 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(275,plain,
! [SV67: $i] :
( ( ( ~ ~ ! [SY465: $i] :
~ ~ ! [SY466: $i] :
~ ( sK1_R @ SV67 @ SY465 @ SY466 ) )
= $true )
| ( ( ~ ! [SY393: $i] :
~ ~ ! [SY394: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY393
@ SY394 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(276,plain,
! [SV68: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SV68 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(277,plain,
! [SV69: $i] :
( ( ( ~ ~ ! [SY475: $i] :
~ ~ ! [SY476: $i] :
~ ( sK1_R @ SV69 @ SY475 @ SY476 ) )
= $true )
| ( ( ~ ! [SY427: $i] :
~ ~ ! [SY428: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY427
@ SY428 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(278,plain,
! [SV70: $i] :
( ( ( ~ ~ ! [SY477: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV70
@ SY477 ) )
= $true )
| ( ( ~ ! [SY439: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY439 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(279,plain,
! [SV71: $i] :
( ( ( ~ ~ ! [SY481: $i] :
~ ~ ! [SY482: $i] :
~ ( sK1_R @ SV71 @ SY481 @ SY482 ) )
= $true )
| ( ( ~ ! [SY449: $i] :
~ ~ ! [SY450: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY449
@ SY450 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(280,plain,
! [SV62: $i] :
( ( ( ~ ! [SY451: $i] :
~ ~ ! [SY452: $i] :
~ ( sK1_R @ SV62 @ SY451 @ SY452 ) )
= $false )
| ( ( ~ ! [SY341: $i] :
~ ~ ! [SY342: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY341
@ SY342 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(281,plain,
! [SV63: $i] :
( ( ( ~ ! [SY453: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV63
@ SY453 ) )
= $false )
| ( ( ~ ! [SY353: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY353 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(282,plain,
! [SV64: $i] :
( ( ( ~ ! [SY457: $i] :
~ ~ ! [SY458: $i] :
~ ( sK1_R @ SV64 @ SY457 @ SY458 ) )
= $false )
| ( ( ~ ! [SY363: $i] :
~ ~ ! [SY364: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY363
@ SY364 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(283,plain,
! [SV65: $i] :
( ( ( ~ ! [SY459: $i] :
~ ~ ! [SY460: $i] :
~ ( sK1_R @ SV65 @ SY459 @ SY460 ) )
= $false )
| ( ( ~ ! [SY371: $i] :
~ ~ ! [SY372: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY371
@ SY372 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(284,plain,
! [SV66: $i] :
( ( ( ~ ! [SY461: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV66
@ SY461 ) )
= $false )
| ( ( ~ ! [SY383: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY383 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(285,plain,
! [SV67: $i] :
( ( ( ~ ! [SY465: $i] :
~ ~ ! [SY466: $i] :
~ ( sK1_R @ SV67 @ SY465 @ SY466 ) )
= $false )
| ( ( ~ ! [SY393: $i] :
~ ~ ! [SY394: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY393
@ SY394 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(286,plain,
! [SV68: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SV68 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(287,plain,
! [SV69: $i] :
( ( ( ~ ! [SY475: $i] :
~ ~ ! [SY476: $i] :
~ ( sK1_R @ SV69 @ SY475 @ SY476 ) )
= $false )
| ( ( ~ ! [SY427: $i] :
~ ~ ! [SY428: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY427
@ SY428 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(288,plain,
! [SV70: $i] :
( ( ( ~ ! [SY477: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV70
@ SY477 ) )
= $false )
| ( ( ~ ! [SY439: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY439 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(289,plain,
! [SV71: $i] :
( ( ( ~ ! [SY481: $i] :
~ ~ ! [SY482: $i] :
~ ( sK1_R @ SV71 @ SY481 @ SY482 ) )
= $false )
| ( ( ~ ! [SY449: $i] :
~ ~ ! [SY450: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY449
@ SY450 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(290,plain,
! [SV62: $i] :
( ( ( ! [SY451: $i] :
~ ~ ! [SY452: $i] :
~ ( sK1_R @ SV62 @ SY451 @ SY452 ) )
= $true )
| ( ( ~ ! [SY341: $i] :
~ ~ ! [SY342: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY341
@ SY342 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(291,plain,
! [SV63: $i] :
( ( ( ! [SY453: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV63
@ SY453 ) )
= $true )
| ( ( ~ ! [SY353: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY353 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(292,plain,
! [SV64: $i] :
( ( ( ! [SY457: $i] :
~ ~ ! [SY458: $i] :
~ ( sK1_R @ SV64 @ SY457 @ SY458 ) )
= $true )
| ( ( ~ ! [SY363: $i] :
~ ~ ! [SY364: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY363
@ SY364 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(293,plain,
! [SV65: $i] :
( ( ( ! [SY459: $i] :
~ ~ ! [SY460: $i] :
~ ( sK1_R @ SV65 @ SY459 @ SY460 ) )
= $true )
| ( ( ~ ! [SY371: $i] :
~ ~ ! [SY372: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY371
@ SY372 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(294,plain,
! [SV66: $i] :
( ( ( ! [SY461: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV66
@ SY461 ) )
= $true )
| ( ( ~ ! [SY383: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY383 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(295,plain,
! [SV67: $i] :
( ( ( ! [SY465: $i] :
~ ~ ! [SY466: $i] :
~ ( sK1_R @ SV67 @ SY465 @ SY466 ) )
= $true )
| ( ( ~ ! [SY393: $i] :
~ ~ ! [SY394: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY393
@ SY394 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(296,plain,
! [SV69: $i] :
( ( ( ! [SY475: $i] :
~ ~ ! [SY476: $i] :
~ ( sK1_R @ SV69 @ SY475 @ SY476 ) )
= $true )
| ( ( ~ ! [SY427: $i] :
~ ~ ! [SY428: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY427
@ SY428 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(297,plain,
! [SV70: $i] :
( ( ( ! [SY477: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV70
@ SY477 ) )
= $true )
| ( ( ~ ! [SY439: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY439 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(298,plain,
! [SV71: $i] :
( ( ( ! [SY481: $i] :
~ ~ ! [SY482: $i] :
~ ( sK1_R @ SV71 @ SY481 @ SY482 ) )
= $true )
| ( ( ~ ! [SY449: $i] :
~ ~ ! [SY450: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY449
@ SY450 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(299,plain,
! [SV72: $i,SV62: $i] :
( ( ( ~ ~ ! [SY483: $i] :
~ ( sK1_R @ SV62 @ SV72 @ SY483 ) )
= $true )
| ( ( ~ ! [SY341: $i] :
~ ~ ! [SY342: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY341
@ SY342 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(300,plain,
! [SV73: $i,SV63: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV63
@ SV73 ) )
= $true )
| ( ( ~ ! [SY353: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY353 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(301,plain,
! [SV74: $i,SV64: $i] :
( ( ( ~ ~ ! [SY487: $i] :
~ ( sK1_R @ SV64 @ SV74 @ SY487 ) )
= $true )
| ( ( ~ ! [SY363: $i] :
~ ~ ! [SY364: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY363
@ SY364 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(302,plain,
! [SV75: $i,SV65: $i] :
( ( ( ~ ~ ! [SY488: $i] :
~ ( sK1_R @ SV65 @ SV75 @ SY488 ) )
= $true )
| ( ( ~ ! [SY371: $i] :
~ ~ ! [SY372: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY371
@ SY372 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(303,plain,
! [SV76: $i,SV66: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV66
@ SV76 ) )
= $true )
| ( ( ~ ! [SY383: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY383 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(304,plain,
! [SV77: $i,SV67: $i] :
( ( ( ~ ~ ! [SY492: $i] :
~ ( sK1_R @ SV67 @ SV77 @ SY492 ) )
= $true )
| ( ( ~ ! [SY393: $i] :
~ ~ ! [SY394: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY393
@ SY394 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(305,plain,
! [SV78: $i,SV69: $i] :
( ( ( ~ ~ ! [SY493: $i] :
~ ( sK1_R @ SV69 @ SV78 @ SY493 ) )
= $true )
| ( ( ~ ! [SY427: $i] :
~ ~ ! [SY428: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY427
@ SY428 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(306,plain,
! [SV79: $i,SV70: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV70
@ SV79 ) )
= $true )
| ( ( ~ ! [SY439: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY439 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(307,plain,
! [SV80: $i,SV71: $i] :
( ( ( ~ ~ ! [SY497: $i] :
~ ( sK1_R @ SV71 @ SV80 @ SY497 ) )
= $true )
| ( ( ~ ! [SY449: $i] :
~ ~ ! [SY450: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY449
@ SY450 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(308,plain,
! [SV72: $i,SV62: $i] :
( ( ( ~ ! [SY483: $i] :
~ ( sK1_R @ SV62 @ SV72 @ SY483 ) )
= $false )
| ( ( ~ ! [SY341: $i] :
~ ~ ! [SY342: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY341
@ SY342 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(309,plain,
! [SV73: $i,SV63: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV63
@ SV73 )
= $false )
| ( ( ~ ! [SY353: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY353 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(310,plain,
! [SV74: $i,SV64: $i] :
( ( ( ~ ! [SY487: $i] :
~ ( sK1_R @ SV64 @ SV74 @ SY487 ) )
= $false )
| ( ( ~ ! [SY363: $i] :
~ ~ ! [SY364: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY363
@ SY364 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(311,plain,
! [SV75: $i,SV65: $i] :
( ( ( ~ ! [SY488: $i] :
~ ( sK1_R @ SV65 @ SV75 @ SY488 ) )
= $false )
| ( ( ~ ! [SY371: $i] :
~ ~ ! [SY372: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY371
@ SY372 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(312,plain,
! [SV76: $i,SV66: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV66
@ SV76 )
= $false )
| ( ( ~ ! [SY383: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY383 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(313,plain,
! [SV77: $i,SV67: $i] :
( ( ( ~ ! [SY492: $i] :
~ ( sK1_R @ SV67 @ SV77 @ SY492 ) )
= $false )
| ( ( ~ ! [SY393: $i] :
~ ~ ! [SY394: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY393
@ SY394 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(314,plain,
! [SV78: $i,SV69: $i] :
( ( ( ~ ! [SY493: $i] :
~ ( sK1_R @ SV69 @ SV78 @ SY493 ) )
= $false )
| ( ( ~ ! [SY427: $i] :
~ ~ ! [SY428: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY427
@ SY428 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(315,plain,
! [SV79: $i,SV70: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV70
@ SV79 )
= $false )
| ( ( ~ ! [SY439: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY439 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(316,plain,
! [SV80: $i,SV71: $i] :
( ( ( ~ ! [SY497: $i] :
~ ( sK1_R @ SV71 @ SV80 @ SY497 ) )
= $false )
| ( ( ~ ! [SY449: $i] :
~ ~ ! [SY450: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY449
@ SY450 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(317,plain,
! [SV72: $i,SV62: $i] :
( ( ( ! [SY483: $i] :
~ ( sK1_R @ SV62 @ SV72 @ SY483 ) )
= $true )
| ( ( ~ ! [SY341: $i] :
~ ~ ! [SY342: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY341
@ SY342 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(318,plain,
! [SV73: $i,SV63: $i] :
( ( ( ! [SY353: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY353 ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV63
@ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(319,plain,
! [SV74: $i,SV64: $i] :
( ( ( ! [SY487: $i] :
~ ( sK1_R @ SV64 @ SV74 @ SY487 ) )
= $true )
| ( ( ~ ! [SY363: $i] :
~ ~ ! [SY364: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY363
@ SY364 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(320,plain,
! [SV75: $i,SV65: $i] :
( ( ( ! [SY488: $i] :
~ ( sK1_R @ SV65 @ SV75 @ SY488 ) )
= $true )
| ( ( ~ ! [SY371: $i] :
~ ~ ! [SY372: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY371
@ SY372 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(321,plain,
! [SV76: $i,SV66: $i] :
( ( ( ! [SY383: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY383 ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV66
@ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(322,plain,
! [SV77: $i,SV67: $i] :
( ( ( ! [SY492: $i] :
~ ( sK1_R @ SV67 @ SV77 @ SY492 ) )
= $true )
| ( ( ~ ! [SY393: $i] :
~ ~ ! [SY394: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY393
@ SY394 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(323,plain,
! [SV78: $i,SV69: $i] :
( ( ( ! [SY493: $i] :
~ ( sK1_R @ SV69 @ SV78 @ SY493 ) )
= $true )
| ( ( ~ ! [SY427: $i] :
~ ~ ! [SY428: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY427
@ SY428 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(324,plain,
! [SV79: $i,SV70: $i] :
( ( ( ! [SY439: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SY439 ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV70
@ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(325,plain,
! [SV80: $i,SV71: $i] :
( ( ( ! [SY497: $i] :
~ ( sK1_R @ SV71 @ SV80 @ SY497 ) )
= $true )
| ( ( ~ ! [SY449: $i] :
~ ~ ! [SY450: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY449
@ SY450 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(326,plain,
! [SV81: $i,SV72: $i,SV62: $i] :
( ( ( ~ ( sK1_R @ SV62 @ SV72 @ SV81 ) )
= $true )
| ( ( ~ ! [SY341: $i] :
~ ~ ! [SY342: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY341
@ SY342 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(327,plain,
! [SV63: $i,SV73: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( sK25_SY353 @ SV73 @ SV63 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV63
@ SV73 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[318]) ).
thf(328,plain,
! [SV82: $i,SV74: $i,SV64: $i] :
( ( ( ~ ( sK1_R @ SV64 @ SV74 @ SV82 ) )
= $true )
| ( ( ~ ! [SY363: $i] :
~ ~ ! [SY364: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY363
@ SY364 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(329,plain,
! [SV83: $i,SV75: $i,SV65: $i] :
( ( ( ~ ( sK1_R @ SV65 @ SV75 @ SV83 ) )
= $true )
| ( ( ~ ! [SY371: $i] :
~ ~ ! [SY372: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY371
@ SY372 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(330,plain,
! [SV66: $i,SV76: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( sK26_SY383 @ SV76 @ SV66 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV66
@ SV76 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[321]) ).
thf(331,plain,
! [SV84: $i,SV77: $i,SV67: $i] :
( ( ( ~ ( sK1_R @ SV67 @ SV77 @ SV84 ) )
= $true )
| ( ( ~ ! [SY393: $i] :
~ ~ ! [SY394: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY393
@ SY394 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(332,plain,
! [SV85: $i,SV78: $i,SV69: $i] :
( ( ( ~ ( sK1_R @ SV69 @ SV78 @ SV85 ) )
= $true )
| ( ( ~ ! [SY427: $i] :
~ ~ ! [SY428: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY427
@ SY428 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(333,plain,
! [SV70: $i,SV79: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( sK27_SY439 @ SV79 @ SV70 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV70
@ SV79 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[324]) ).
thf(334,plain,
! [SV86: $i,SV80: $i,SV71: $i] :
( ( ( ~ ( sK1_R @ SV71 @ SV80 @ SV86 ) )
= $true )
| ( ( ~ ! [SY449: $i] :
~ ~ ! [SY450: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY449
@ SY450 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(335,plain,
! [SV81: $i,SV72: $i,SV62: $i] :
( ( ( sK1_R @ SV62 @ SV72 @ SV81 )
= $false )
| ( ( ~ ! [SY341: $i] :
~ ~ ! [SY342: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY341
@ SY342 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(336,plain,
! [SV63: $i,SV73: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( sK25_SY353 @ SV73 @ SV63 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV63
@ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(337,plain,
! [SV82: $i,SV74: $i,SV64: $i] :
( ( ( sK1_R @ SV64 @ SV74 @ SV82 )
= $false )
| ( ( ~ ! [SY363: $i] :
~ ~ ! [SY364: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY363
@ SY364 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(338,plain,
! [SV83: $i,SV75: $i,SV65: $i] :
( ( ( sK1_R @ SV65 @ SV75 @ SV83 )
= $false )
| ( ( ~ ! [SY371: $i] :
~ ~ ! [SY372: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY371
@ SY372 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(339,plain,
! [SV66: $i,SV76: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( sK26_SY383 @ SV76 @ SV66 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV66
@ SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(340,plain,
! [SV84: $i,SV77: $i,SV67: $i] :
( ( ( sK1_R @ SV67 @ SV77 @ SV84 )
= $false )
| ( ( ~ ! [SY393: $i] :
~ ~ ! [SY394: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY393
@ SY394 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(341,plain,
! [SV85: $i,SV78: $i,SV69: $i] :
( ( ( sK1_R @ SV69 @ SV78 @ SV85 )
= $false )
| ( ( ~ ! [SY427: $i] :
~ ~ ! [SY428: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY427
@ SY428 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(342,plain,
! [SV70: $i,SV79: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ ( sK27_SY439 @ SV79 @ SV70 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV70
@ SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(343,plain,
! [SV86: $i,SV80: $i,SV71: $i] :
( ( ( sK1_R @ SV71 @ SV80 @ SV86 )
= $false )
| ( ( ~ ! [SY449: $i] :
~ ~ ! [SY450: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY449
@ SY450 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(344,plain,
! [SV81: $i,SV72: $i,SV62: $i] :
( ( ( ! [SY341: $i] :
~ ~ ! [SY342: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY341
@ SY342 ) )
= $false )
| ( ( sK1_R @ SV62 @ SV72 @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(345,plain,
! [SV82: $i,SV74: $i,SV64: $i] :
( ( ( ! [SY363: $i] :
~ ~ ! [SY364: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY363
@ SY364 ) )
= $false )
| ( ( sK1_R @ SV64 @ SV74 @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(346,plain,
! [SV83: $i,SV75: $i,SV65: $i] :
( ( ( ! [SY371: $i] :
~ ~ ! [SY372: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY371
@ SY372 ) )
= $false )
| ( ( sK1_R @ SV65 @ SV75 @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(347,plain,
! [SV84: $i,SV77: $i,SV67: $i] :
( ( ( ! [SY393: $i] :
~ ~ ! [SY394: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY393
@ SY394 ) )
= $false )
| ( ( sK1_R @ SV67 @ SV77 @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(348,plain,
! [SV85: $i,SV78: $i,SV69: $i] :
( ( ( ! [SY427: $i] :
~ ~ ! [SY428: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ SY427
@ SY428 ) )
= $false )
| ( ( sK1_R @ SV69 @ SV78 @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(349,plain,
! [SV86: $i,SV80: $i,SV71: $i] :
( ( ( ! [SY449: $i] :
~ ~ ! [SY450: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY449
@ SY450 ) )
= $false )
| ( ( sK1_R @ SV71 @ SV80 @ SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(350,plain,
! [SV62: $i,SV72: $i,SV81: $i] :
( ( ( ~ ~ ! [SY522: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK28_SY341 @ SV81 @ SV72 @ SV62 )
@ SY522 ) )
= $false )
| ( ( sK1_R @ SV62 @ SV72 @ SV81 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[344]) ).
thf(351,plain,
! [SV64: $i,SV74: $i,SV82: $i] :
( ( ( ~ ~ ! [SY526: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK29_SY363 @ SV82 @ SV74 @ SV64 )
@ SY526 ) )
= $false )
| ( ( sK1_R @ SV64 @ SV74 @ SV82 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[345]) ).
thf(352,plain,
! [SV65: $i,SV75: $i,SV83: $i] :
( ( ( ~ ~ ! [SY530: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK30_SY371 @ SV83 @ SV75 @ SV65 )
@ SY530 ) )
= $false )
| ( ( sK1_R @ SV65 @ SV75 @ SV83 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[346]) ).
thf(353,plain,
! [SV67: $i,SV77: $i,SV84: $i] :
( ( ( ~ ~ ! [SY534: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK31_SY393 @ SV84 @ SV77 @ SV67 )
@ SY534 ) )
= $false )
| ( ( sK1_R @ SV67 @ SV77 @ SV84 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[347]) ).
thf(354,plain,
! [SV69: $i,SV78: $i,SV85: $i] :
( ( ( ~ ~ ! [SY538: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( sK32_SY427 @ SV85 @ SV78 @ SV69 )
@ SY538 ) )
= $false )
| ( ( sK1_R @ SV69 @ SV78 @ SV85 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[348]) ).
thf(355,plain,
! [SV71: $i,SV80: $i,SV86: $i] :
( ( ( ~ ~ ! [SY542: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( sK33_SY449 @ SV86 @ SV80 @ SV71 )
@ SY542 ) )
= $false )
| ( ( sK1_R @ SV71 @ SV80 @ SV86 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[349]) ).
thf(356,plain,
! [SV62: $i,SV72: $i,SV81: $i] :
( ( ( ~ ! [SY522: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK28_SY341 @ SV81 @ SV72 @ SV62 )
@ SY522 ) )
= $true )
| ( ( sK1_R @ SV62 @ SV72 @ SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(357,plain,
! [SV64: $i,SV74: $i,SV82: $i] :
( ( ( ~ ! [SY526: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK29_SY363 @ SV82 @ SV74 @ SV64 )
@ SY526 ) )
= $true )
| ( ( sK1_R @ SV64 @ SV74 @ SV82 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(358,plain,
! [SV65: $i,SV75: $i,SV83: $i] :
( ( ( ~ ! [SY530: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK30_SY371 @ SV83 @ SV75 @ SV65 )
@ SY530 ) )
= $true )
| ( ( sK1_R @ SV65 @ SV75 @ SV83 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(359,plain,
! [SV67: $i,SV77: $i,SV84: $i] :
( ( ( ~ ! [SY534: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK31_SY393 @ SV84 @ SV77 @ SV67 )
@ SY534 ) )
= $true )
| ( ( sK1_R @ SV67 @ SV77 @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(360,plain,
! [SV69: $i,SV78: $i,SV85: $i] :
( ( ( ~ ! [SY538: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( sK32_SY427 @ SV85 @ SV78 @ SV69 )
@ SY538 ) )
= $true )
| ( ( sK1_R @ SV69 @ SV78 @ SV85 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(361,plain,
! [SV71: $i,SV80: $i,SV86: $i] :
( ( ( ~ ! [SY542: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( sK33_SY449 @ SV86 @ SV80 @ SV71 )
@ SY542 ) )
= $true )
| ( ( sK1_R @ SV71 @ SV80 @ SV86 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(362,plain,
! [SV62: $i,SV72: $i,SV81: $i] :
( ( ( ! [SY522: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK28_SY341 @ SV81 @ SV72 @ SV62 )
@ SY522 ) )
= $false )
| ( ( sK1_R @ SV62 @ SV72 @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(363,plain,
! [SV64: $i,SV74: $i,SV82: $i] :
( ( ( ! [SY526: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK29_SY363 @ SV82 @ SV74 @ SV64 )
@ SY526 ) )
= $false )
| ( ( sK1_R @ SV64 @ SV74 @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(364,plain,
! [SV65: $i,SV75: $i,SV83: $i] :
( ( ( ! [SY530: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK30_SY371 @ SV83 @ SV75 @ SV65 )
@ SY530 ) )
= $false )
| ( ( sK1_R @ SV65 @ SV75 @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(365,plain,
! [SV67: $i,SV77: $i,SV84: $i] :
( ( ( ! [SY534: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK31_SY393 @ SV84 @ SV77 @ SV67 )
@ SY534 ) )
= $false )
| ( ( sK1_R @ SV67 @ SV77 @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(366,plain,
! [SV69: $i,SV78: $i,SV85: $i] :
( ( ( ! [SY538: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( sK32_SY427 @ SV85 @ SV78 @ SV69 )
@ SY538 ) )
= $false )
| ( ( sK1_R @ SV69 @ SV78 @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(367,plain,
! [SV71: $i,SV80: $i,SV86: $i] :
( ( ( ! [SY542: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( sK33_SY449 @ SV86 @ SV80 @ SV71 )
@ SY542 ) )
= $false )
| ( ( sK1_R @ SV71 @ SV80 @ SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(368,plain,
! [SV62: $i,SV72: $i,SV81: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK28_SY341 @ SV81 @ SV72 @ SV62 )
@ ( sK34_SY522 @ SV62 @ SV72 @ SV81 ) ) )
= $false )
| ( ( sK1_R @ SV62 @ SV72 @ SV81 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[362]) ).
thf(369,plain,
! [SV64: $i,SV74: $i,SV82: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK29_SY363 @ SV82 @ SV74 @ SV64 )
@ ( sK35_SY526 @ SV64 @ SV74 @ SV82 ) ) )
= $false )
| ( ( sK1_R @ SV64 @ SV74 @ SV82 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[363]) ).
thf(370,plain,
! [SV65: $i,SV75: $i,SV83: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK30_SY371 @ SV83 @ SV75 @ SV65 )
@ ( sK36_SY530 @ SV65 @ SV75 @ SV83 ) ) )
= $false )
| ( ( sK1_R @ SV65 @ SV75 @ SV83 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[364]) ).
thf(371,plain,
! [SV67: $i,SV77: $i,SV84: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK31_SY393 @ SV84 @ SV77 @ SV67 )
@ ( sK37_SY534 @ SV67 @ SV77 @ SV84 ) ) )
= $false )
| ( ( sK1_R @ SV67 @ SV77 @ SV84 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[365]) ).
thf(372,plain,
! [SV69: $i,SV78: $i,SV85: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( sK32_SY427 @ SV85 @ SV78 @ SV69 )
@ ( sK38_SY538 @ SV69 @ SV78 @ SV85 ) ) )
= $false )
| ( ( sK1_R @ SV69 @ SV78 @ SV85 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[366]) ).
thf(373,plain,
! [SV71: $i,SV80: $i,SV86: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( sK33_SY449 @ SV86 @ SV80 @ SV71 )
@ ( sK39_SY542 @ SV71 @ SV80 @ SV86 ) ) )
= $false )
| ( ( sK1_R @ SV71 @ SV80 @ SV86 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[367]) ).
thf(374,plain,
! [SV62: $i,SV72: $i,SV81: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK28_SY341 @ SV81 @ SV72 @ SV62 )
@ ( sK34_SY522 @ SV62 @ SV72 @ SV81 ) )
= $true )
| ( ( sK1_R @ SV62 @ SV72 @ SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(375,plain,
! [SV64: $i,SV74: $i,SV82: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK29_SY363 @ SV82 @ SV74 @ SV64 )
@ ( sK35_SY526 @ SV64 @ SV74 @ SV82 ) )
= $true )
| ( ( sK1_R @ SV64 @ SV74 @ SV82 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[369]) ).
thf(376,plain,
! [SV65: $i,SV75: $i,SV83: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK30_SY371 @ SV83 @ SV75 @ SV65 )
@ ( sK36_SY530 @ SV65 @ SV75 @ SV83 ) )
= $true )
| ( ( sK1_R @ SV65 @ SV75 @ SV83 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(377,plain,
! [SV67: $i,SV77: $i,SV84: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK31_SY393 @ SV84 @ SV77 @ SV67 )
@ ( sK37_SY534 @ SV67 @ SV77 @ SV84 ) )
= $true )
| ( ( sK1_R @ SV67 @ SV77 @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(378,plain,
! [SV69: $i,SV78: $i,SV85: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( sK32_SY427 @ SV85 @ SV78 @ SV69 )
@ ( sK38_SY538 @ SV69 @ SV78 @ SV85 ) )
= $true )
| ( ( sK1_R @ SV69 @ SV78 @ SV85 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[372]) ).
thf(379,plain,
! [SV71: $i,SV80: $i,SV86: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ ( sK33_SY449 @ SV86 @ SV80 @ SV71 )
@ ( sK39_SY542 @ SV71 @ SV80 @ SV86 ) )
= $true )
| ( ( sK1_R @ SV71 @ SV80 @ SV86 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[373]) ).
thf(380,plain,
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( eps
@ ^ [SX0: $i] :
( sK1_R
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ( sK1_R @ SX1 @ SX2 @ SX3 ) )
@ ( eps
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SX1
@ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
= sK3_SY3 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
= sK2_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[229:[bind(SV51,$thf( sK4_SY5 ))]]) ).
thf(381,plain,
! [SV51: $i] :
( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SV51 )
= $false ),
inference(extuni,[status(esa)],[228]) ).
thf(384,plain,
! [SV87: $i] :
( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SV87 )
= $false ),
inference(rename,[status(thm)],[381]) ).
thf(385,plain,
! [SV87: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SV87 )
= ( sK1_R @ sK2_SY0 @ sK3_SY3 @ sK4_SY5 ) )
= $false ),
inference(res,[status(thm)],[384,11]) ).
thf(386,plain,
( ( ~ ~ ! [SY616: $i] :
~ ~ ! [SY617: $i] :
~ ~ ! [SY618: $i] :
~ ( sK1_R @ SY616 @ SY617 @ SY618 )
| ~ ! [SY622: $i] :
~ ~ ! [SY623: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY622
@ SY623 ) )
= $true ),
inference(choice,[status(thm)],[384]) ).
thf(387,plain,
( ( ~ ~ ! [SY624: $i] :
~ ~ ! [SY625: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY624
@ SY625 )
| ~ ! [SY634: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY634 ) )
= $true ),
inference(choice,[status(thm)],[384]) ).
thf(388,plain,
( ( ~ ~ ! [SY638: $i] :
~ ~ ! [SY639: $i] :
~ ~ ! [SY640: $i] :
~ ( sK1_R @ SY638 @ SY639 @ SY640 )
| ~ ! [SY644: $i] :
~ ~ ! [SY645: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY644
@ SY645 ) )
= $true ),
inference(choice,[status(thm)],[384]) ).
thf(389,plain,
( ( ( ~ ~ ! [SY616: $i] :
~ ~ ! [SY617: $i] :
~ ~ ! [SY618: $i] :
~ ( sK1_R @ SY616 @ SY617 @ SY618 ) )
= $true )
| ( ( ~ ! [SY622: $i] :
~ ~ ! [SY623: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY622
@ SY623 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(390,plain,
( ( ( ~ ~ ! [SY624: $i] :
~ ~ ! [SY625: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY624
@ SY625 ) )
= $true )
| ( ( ~ ! [SY634: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY634 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[387]) ).
thf(391,plain,
( ( ( ~ ~ ! [SY638: $i] :
~ ~ ! [SY639: $i] :
~ ~ ! [SY640: $i] :
~ ( sK1_R @ SY638 @ SY639 @ SY640 ) )
= $true )
| ( ( ~ ! [SY644: $i] :
~ ~ ! [SY645: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY644
@ SY645 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(392,plain,
( ( ( ~ ! [SY616: $i] :
~ ~ ! [SY617: $i] :
~ ~ ! [SY618: $i] :
~ ( sK1_R @ SY616 @ SY617 @ SY618 ) )
= $false )
| ( ( ~ ! [SY622: $i] :
~ ~ ! [SY623: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY622
@ SY623 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(393,plain,
( ( ( ~ ! [SY624: $i] :
~ ~ ! [SY625: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY624
@ SY625 ) )
= $false )
| ( ( ~ ! [SY634: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY634 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(394,plain,
( ( ( ~ ! [SY638: $i] :
~ ~ ! [SY639: $i] :
~ ~ ! [SY640: $i] :
~ ( sK1_R @ SY638 @ SY639 @ SY640 ) )
= $false )
| ( ( ~ ! [SY644: $i] :
~ ~ ! [SY645: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY644
@ SY645 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(395,plain,
( ( ( ! [SY616: $i] :
~ ~ ! [SY617: $i] :
~ ~ ! [SY618: $i] :
~ ( sK1_R @ SY616 @ SY617 @ SY618 ) )
= $true )
| ( ( ~ ! [SY622: $i] :
~ ~ ! [SY623: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY622
@ SY623 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[392]) ).
thf(396,plain,
( ( ( ! [SY624: $i] :
~ ~ ! [SY625: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY624
@ SY625 ) )
= $true )
| ( ( ~ ! [SY634: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY634 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[393]) ).
thf(397,plain,
( ( ( ! [SY638: $i] :
~ ~ ! [SY639: $i] :
~ ~ ! [SY640: $i] :
~ ( sK1_R @ SY638 @ SY639 @ SY640 ) )
= $true )
| ( ( ~ ! [SY644: $i] :
~ ~ ! [SY645: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY644
@ SY645 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(398,plain,
! [SV91: $i] :
( ( ( ~ ~ ! [SY646: $i] :
~ ~ ! [SY647: $i] :
~ ( sK1_R @ SV91 @ SY646 @ SY647 ) )
= $true )
| ( ( ~ ! [SY622: $i] :
~ ~ ! [SY623: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY622
@ SY623 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(399,plain,
! [SV92: $i] :
( ( ( ~ ~ ! [SY648: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV92
@ SY648 ) )
= $true )
| ( ( ~ ! [SY634: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY634 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(400,plain,
! [SV93: $i] :
( ( ( ~ ~ ! [SY652: $i] :
~ ~ ! [SY653: $i] :
~ ( sK1_R @ SV93 @ SY652 @ SY653 ) )
= $true )
| ( ( ~ ! [SY644: $i] :
~ ~ ! [SY645: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY644
@ SY645 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(401,plain,
! [SV91: $i] :
( ( ( ~ ! [SY646: $i] :
~ ~ ! [SY647: $i] :
~ ( sK1_R @ SV91 @ SY646 @ SY647 ) )
= $false )
| ( ( ~ ! [SY622: $i] :
~ ~ ! [SY623: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY622
@ SY623 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(402,plain,
! [SV92: $i] :
( ( ( ~ ! [SY648: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV92
@ SY648 ) )
= $false )
| ( ( ~ ! [SY634: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY634 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(403,plain,
! [SV93: $i] :
( ( ( ~ ! [SY652: $i] :
~ ~ ! [SY653: $i] :
~ ( sK1_R @ SV93 @ SY652 @ SY653 ) )
= $false )
| ( ( ~ ! [SY644: $i] :
~ ~ ! [SY645: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY644
@ SY645 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(404,plain,
! [SV91: $i] :
( ( ( ! [SY646: $i] :
~ ~ ! [SY647: $i] :
~ ( sK1_R @ SV91 @ SY646 @ SY647 ) )
= $true )
| ( ( ~ ! [SY622: $i] :
~ ~ ! [SY623: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY622
@ SY623 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(405,plain,
! [SV92: $i] :
( ( ( ! [SY648: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV92
@ SY648 ) )
= $true )
| ( ( ~ ! [SY634: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY634 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[402]) ).
thf(406,plain,
! [SV93: $i] :
( ( ( ! [SY652: $i] :
~ ~ ! [SY653: $i] :
~ ( sK1_R @ SV93 @ SY652 @ SY653 ) )
= $true )
| ( ( ~ ! [SY644: $i] :
~ ~ ! [SY645: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY644
@ SY645 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(407,plain,
! [SV94: $i,SV91: $i] :
( ( ( ~ ~ ! [SY654: $i] :
~ ( sK1_R @ SV91 @ SV94 @ SY654 ) )
= $true )
| ( ( ~ ! [SY622: $i] :
~ ~ ! [SY623: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY622
@ SY623 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(408,plain,
! [SV95: $i,SV92: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV92
@ SV95 ) )
= $true )
| ( ( ~ ! [SY634: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY634 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(409,plain,
! [SV96: $i,SV93: $i] :
( ( ( ~ ~ ! [SY658: $i] :
~ ( sK1_R @ SV93 @ SV96 @ SY658 ) )
= $true )
| ( ( ~ ! [SY644: $i] :
~ ~ ! [SY645: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY644
@ SY645 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(410,plain,
! [SV94: $i,SV91: $i] :
( ( ( ~ ! [SY654: $i] :
~ ( sK1_R @ SV91 @ SV94 @ SY654 ) )
= $false )
| ( ( ~ ! [SY622: $i] :
~ ~ ! [SY623: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY622
@ SY623 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(411,plain,
! [SV95: $i,SV92: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV92
@ SV95 )
= $false )
| ( ( ~ ! [SY634: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY634 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(412,plain,
! [SV96: $i,SV93: $i] :
( ( ( ~ ! [SY658: $i] :
~ ( sK1_R @ SV93 @ SV96 @ SY658 ) )
= $false )
| ( ( ~ ! [SY644: $i] :
~ ~ ! [SY645: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY644
@ SY645 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(413,plain,
! [SV94: $i,SV91: $i] :
( ( ( ! [SY654: $i] :
~ ( sK1_R @ SV91 @ SV94 @ SY654 ) )
= $true )
| ( ( ~ ! [SY622: $i] :
~ ~ ! [SY623: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY622
@ SY623 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[410]) ).
thf(414,plain,
! [SV95: $i,SV92: $i] :
( ( ( ! [SY634: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY634 ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV92
@ SV95 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(415,plain,
! [SV96: $i,SV93: $i] :
( ( ( ! [SY658: $i] :
~ ( sK1_R @ SV93 @ SV96 @ SY658 ) )
= $true )
| ( ( ~ ! [SY644: $i] :
~ ~ ! [SY645: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY644
@ SY645 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[412]) ).
thf(416,plain,
! [SV97: $i,SV94: $i,SV91: $i] :
( ( ( ~ ( sK1_R @ SV91 @ SV94 @ SV97 ) )
= $true )
| ( ( ~ ! [SY622: $i] :
~ ~ ! [SY623: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY622
@ SY623 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(417,plain,
! [SV92: $i,SV95: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( sK56_SY634 @ SV95 @ SV92 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV92
@ SV95 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[414]) ).
thf(418,plain,
! [SV98: $i,SV96: $i,SV93: $i] :
( ( ( ~ ( sK1_R @ SV93 @ SV96 @ SV98 ) )
= $true )
| ( ( ~ ! [SY644: $i] :
~ ~ ! [SY645: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY644
@ SY645 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(419,plain,
! [SV97: $i,SV94: $i,SV91: $i] :
( ( ( sK1_R @ SV91 @ SV94 @ SV97 )
= $false )
| ( ( ~ ! [SY622: $i] :
~ ~ ! [SY623: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY622
@ SY623 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(420,plain,
! [SV92: $i,SV95: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( sK56_SY634 @ SV95 @ SV92 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV92
@ SV95 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(421,plain,
! [SV98: $i,SV96: $i,SV93: $i] :
( ( ( sK1_R @ SV93 @ SV96 @ SV98 )
= $false )
| ( ( ~ ! [SY644: $i] :
~ ~ ! [SY645: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY644
@ SY645 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(422,plain,
! [SV97: $i,SV94: $i,SV91: $i] :
( ( ( ! [SY622: $i] :
~ ~ ! [SY623: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY622
@ SY623 ) )
= $false )
| ( ( sK1_R @ SV91 @ SV94 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(423,plain,
! [SV98: $i,SV96: $i,SV93: $i] :
( ( ( ! [SY644: $i] :
~ ~ ! [SY645: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY644
@ SY645 ) )
= $false )
| ( ( sK1_R @ SV93 @ SV96 @ SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(424,plain,
! [SV91: $i,SV94: $i,SV97: $i] :
( ( ( ~ ~ ! [SY667: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK57_SY622 @ SV97 @ SV94 @ SV91 )
@ SY667 ) )
= $false )
| ( ( sK1_R @ SV91 @ SV94 @ SV97 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[422]) ).
thf(425,plain,
! [SV93: $i,SV96: $i,SV98: $i] :
( ( ( ~ ~ ! [SY671: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK58_SY644 @ SV98 @ SV96 @ SV93 )
@ SY671 ) )
= $false )
| ( ( sK1_R @ SV93 @ SV96 @ SV98 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[423]) ).
thf(426,plain,
! [SV91: $i,SV94: $i,SV97: $i] :
( ( ( ~ ! [SY667: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK57_SY622 @ SV97 @ SV94 @ SV91 )
@ SY667 ) )
= $true )
| ( ( sK1_R @ SV91 @ SV94 @ SV97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(427,plain,
! [SV93: $i,SV96: $i,SV98: $i] :
( ( ( ~ ! [SY671: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK58_SY644 @ SV98 @ SV96 @ SV93 )
@ SY671 ) )
= $true )
| ( ( sK1_R @ SV93 @ SV96 @ SV98 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(428,plain,
! [SV91: $i,SV94: $i,SV97: $i] :
( ( ( ! [SY667: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK57_SY622 @ SV97 @ SV94 @ SV91 )
@ SY667 ) )
= $false )
| ( ( sK1_R @ SV91 @ SV94 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(429,plain,
! [SV93: $i,SV96: $i,SV98: $i] :
( ( ( ! [SY671: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK58_SY644 @ SV98 @ SV96 @ SV93 )
@ SY671 ) )
= $false )
| ( ( sK1_R @ SV93 @ SV96 @ SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(430,plain,
! [SV91: $i,SV94: $i,SV97: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK57_SY622 @ SV97 @ SV94 @ SV91 )
@ ( sK59_SY667 @ SV91 @ SV94 @ SV97 ) ) )
= $false )
| ( ( sK1_R @ SV91 @ SV94 @ SV97 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[428]) ).
thf(431,plain,
! [SV93: $i,SV96: $i,SV98: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK58_SY644 @ SV98 @ SV96 @ SV93 )
@ ( sK60_SY671 @ SV93 @ SV96 @ SV98 ) ) )
= $false )
| ( ( sK1_R @ SV93 @ SV96 @ SV98 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[429]) ).
thf(432,plain,
! [SV91: $i,SV94: $i,SV97: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK57_SY622 @ SV97 @ SV94 @ SV91 )
@ ( sK59_SY667 @ SV91 @ SV94 @ SV97 ) )
= $true )
| ( ( sK1_R @ SV91 @ SV94 @ SV97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(433,plain,
! [SV93: $i,SV96: $i,SV98: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK58_SY644 @ SV98 @ SV96 @ SV93 )
@ ( sK60_SY671 @ SV93 @ SV96 @ SV98 ) )
= $true )
| ( ( sK1_R @ SV93 @ SV96 @ SV98 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(434,plain,
( ( ( ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
= sK3_SY3 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
= sK2_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[385:[bind(SV87,$thf( sK4_SY5 ))]]) ).
thf(435,plain,
! [SV99: $i,SV100: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( sK5_SY25 @ SV100 @ SV99 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV99
@ SV100 )
= $false ) ),
inference(rename,[status(thm)],[92]) ).
thf(438,plain,
! [SV99: $i,SV100: $i,SV87: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( sK5_SY25 @ SV100 @ SV99 ) )
= ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SV87 ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV99
@ SV100 )
= $false ) ),
inference(res,[status(thm)],[435,384]) ).
thf(439,plain,
! [SV99: $i,SV100: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV99
@ SV100 )
= ( sK1_R @ sK2_SY0 @ sK3_SY3 @ sK4_SY5 ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( sK5_SY25 @ SV100 @ SV99 ) )
= $true ) ),
inference(res,[status(thm)],[435,11]) ).
thf(440,plain,
( ( ~ ~ ! [SY681: $i] :
~ ~ ! [SY682: $i] :
~ ~ ! [SY683: $i] :
~ ( sK1_R @ SY681 @ SY682 @ SY683 )
| ~ ! [SY687: $i] :
~ ~ ! [SY688: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY687
@ SY688 ) )
= $true ),
inference(choice,[status(thm)],[435]) ).
thf(441,plain,
( ( ~ ~ ! [SY689: $i] :
~ ~ ! [SY690: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY689
@ SY690 )
| ~ ! [SY699: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY699 ) )
= $true ),
inference(choice,[status(thm)],[435]) ).
thf(442,plain,
( ( ~ ~ ! [SY703: $i] :
~ ~ ! [SY704: $i] :
~ ~ ! [SY705: $i] :
~ ( sK1_R @ SY703 @ SY704 @ SY705 )
| ~ ! [SY709: $i] :
~ ~ ! [SY710: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY709
@ SY710 ) )
= $true ),
inference(choice,[status(thm)],[435]) ).
thf(443,plain,
( ( ~ ~ ! [SY711: $i] :
~ ~ ! [SY712: $i] :
~ ~ ! [SY713: $i] :
~ ( sK1_R @ SY711 @ SY712 @ SY713 )
| ~ ! [SY717: $i] :
~ ~ ! [SY718: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY717
@ SY718 ) )
= $true ),
inference(choice,[status(thm)],[435]) ).
thf(444,plain,
( ( ( ~ ~ ! [SY681: $i] :
~ ~ ! [SY682: $i] :
~ ~ ! [SY683: $i] :
~ ( sK1_R @ SY681 @ SY682 @ SY683 ) )
= $true )
| ( ( ~ ! [SY687: $i] :
~ ~ ! [SY688: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY687
@ SY688 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(445,plain,
( ( ( ~ ~ ! [SY689: $i] :
~ ~ ! [SY690: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY689
@ SY690 ) )
= $true )
| ( ( ~ ! [SY699: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY699 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(446,plain,
( ( ( ~ ~ ! [SY703: $i] :
~ ~ ! [SY704: $i] :
~ ~ ! [SY705: $i] :
~ ( sK1_R @ SY703 @ SY704 @ SY705 ) )
= $true )
| ( ( ~ ! [SY709: $i] :
~ ~ ! [SY710: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY709
@ SY710 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[442]) ).
thf(447,plain,
( ( ( ~ ~ ! [SY711: $i] :
~ ~ ! [SY712: $i] :
~ ~ ! [SY713: $i] :
~ ( sK1_R @ SY711 @ SY712 @ SY713 ) )
= $true )
| ( ( ~ ! [SY717: $i] :
~ ~ ! [SY718: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY717
@ SY718 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(448,plain,
( ( ( ~ ! [SY681: $i] :
~ ~ ! [SY682: $i] :
~ ~ ! [SY683: $i] :
~ ( sK1_R @ SY681 @ SY682 @ SY683 ) )
= $false )
| ( ( ~ ! [SY687: $i] :
~ ~ ! [SY688: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY687
@ SY688 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(449,plain,
( ( ( ~ ! [SY689: $i] :
~ ~ ! [SY690: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY689
@ SY690 ) )
= $false )
| ( ( ~ ! [SY699: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY699 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(450,plain,
( ( ( ~ ! [SY703: $i] :
~ ~ ! [SY704: $i] :
~ ~ ! [SY705: $i] :
~ ( sK1_R @ SY703 @ SY704 @ SY705 ) )
= $false )
| ( ( ~ ! [SY709: $i] :
~ ~ ! [SY710: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY709
@ SY710 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(451,plain,
( ( ( ~ ! [SY711: $i] :
~ ~ ! [SY712: $i] :
~ ~ ! [SY713: $i] :
~ ( sK1_R @ SY711 @ SY712 @ SY713 ) )
= $false )
| ( ( ~ ! [SY717: $i] :
~ ~ ! [SY718: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY717
@ SY718 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(452,plain,
( ( ( ! [SY681: $i] :
~ ~ ! [SY682: $i] :
~ ~ ! [SY683: $i] :
~ ( sK1_R @ SY681 @ SY682 @ SY683 ) )
= $true )
| ( ( ~ ! [SY687: $i] :
~ ~ ! [SY688: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY687
@ SY688 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(453,plain,
( ( ( ! [SY689: $i] :
~ ~ ! [SY690: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY689
@ SY690 ) )
= $true )
| ( ( ~ ! [SY699: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY699 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(454,plain,
( ( ( ! [SY703: $i] :
~ ~ ! [SY704: $i] :
~ ~ ! [SY705: $i] :
~ ( sK1_R @ SY703 @ SY704 @ SY705 ) )
= $true )
| ( ( ~ ! [SY709: $i] :
~ ~ ! [SY710: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY709
@ SY710 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(455,plain,
( ( ( ! [SY711: $i] :
~ ~ ! [SY712: $i] :
~ ~ ! [SY713: $i] :
~ ( sK1_R @ SY711 @ SY712 @ SY713 ) )
= $true )
| ( ( ~ ! [SY717: $i] :
~ ~ ! [SY718: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY717
@ SY718 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(456,plain,
! [SV105: $i] :
( ( ( ~ ~ ! [SY719: $i] :
~ ~ ! [SY720: $i] :
~ ( sK1_R @ SV105 @ SY719 @ SY720 ) )
= $true )
| ( ( ~ ! [SY687: $i] :
~ ~ ! [SY688: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY687
@ SY688 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(457,plain,
! [SV106: $i] :
( ( ( ~ ~ ! [SY721: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV106
@ SY721 ) )
= $true )
| ( ( ~ ! [SY699: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY699 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(458,plain,
! [SV107: $i] :
( ( ( ~ ~ ! [SY725: $i] :
~ ~ ! [SY726: $i] :
~ ( sK1_R @ SV107 @ SY725 @ SY726 ) )
= $true )
| ( ( ~ ! [SY709: $i] :
~ ~ ! [SY710: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY709
@ SY710 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(459,plain,
! [SV108: $i] :
( ( ( ~ ~ ! [SY727: $i] :
~ ~ ! [SY728: $i] :
~ ( sK1_R @ SV108 @ SY727 @ SY728 ) )
= $true )
| ( ( ~ ! [SY717: $i] :
~ ~ ! [SY718: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY717
@ SY718 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(460,plain,
! [SV105: $i] :
( ( ( ~ ! [SY719: $i] :
~ ~ ! [SY720: $i] :
~ ( sK1_R @ SV105 @ SY719 @ SY720 ) )
= $false )
| ( ( ~ ! [SY687: $i] :
~ ~ ! [SY688: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY687
@ SY688 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(461,plain,
! [SV106: $i] :
( ( ( ~ ! [SY721: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV106
@ SY721 ) )
= $false )
| ( ( ~ ! [SY699: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY699 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(462,plain,
! [SV107: $i] :
( ( ( ~ ! [SY725: $i] :
~ ~ ! [SY726: $i] :
~ ( sK1_R @ SV107 @ SY725 @ SY726 ) )
= $false )
| ( ( ~ ! [SY709: $i] :
~ ~ ! [SY710: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY709
@ SY710 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(463,plain,
! [SV108: $i] :
( ( ( ~ ! [SY727: $i] :
~ ~ ! [SY728: $i] :
~ ( sK1_R @ SV108 @ SY727 @ SY728 ) )
= $false )
| ( ( ~ ! [SY717: $i] :
~ ~ ! [SY718: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY717
@ SY718 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(464,plain,
! [SV105: $i] :
( ( ( ! [SY719: $i] :
~ ~ ! [SY720: $i] :
~ ( sK1_R @ SV105 @ SY719 @ SY720 ) )
= $true )
| ( ( ~ ! [SY687: $i] :
~ ~ ! [SY688: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY687
@ SY688 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(465,plain,
! [SV106: $i] :
( ( ( ! [SY721: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV106
@ SY721 ) )
= $true )
| ( ( ~ ! [SY699: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY699 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(466,plain,
! [SV107: $i] :
( ( ( ! [SY725: $i] :
~ ~ ! [SY726: $i] :
~ ( sK1_R @ SV107 @ SY725 @ SY726 ) )
= $true )
| ( ( ~ ! [SY709: $i] :
~ ~ ! [SY710: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY709
@ SY710 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[462]) ).
thf(467,plain,
! [SV108: $i] :
( ( ( ! [SY727: $i] :
~ ~ ! [SY728: $i] :
~ ( sK1_R @ SV108 @ SY727 @ SY728 ) )
= $true )
| ( ( ~ ! [SY717: $i] :
~ ~ ! [SY718: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY717
@ SY718 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[463]) ).
thf(468,plain,
! [SV109: $i,SV105: $i] :
( ( ( ~ ~ ! [SY729: $i] :
~ ( sK1_R @ SV105 @ SV109 @ SY729 ) )
= $true )
| ( ( ~ ! [SY687: $i] :
~ ~ ! [SY688: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY687
@ SY688 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(469,plain,
! [SV110: $i,SV106: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV106
@ SV110 ) )
= $true )
| ( ( ~ ! [SY699: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY699 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(470,plain,
! [SV111: $i,SV107: $i] :
( ( ( ~ ~ ! [SY733: $i] :
~ ( sK1_R @ SV107 @ SV111 @ SY733 ) )
= $true )
| ( ( ~ ! [SY709: $i] :
~ ~ ! [SY710: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY709
@ SY710 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(471,plain,
! [SV112: $i,SV108: $i] :
( ( ( ~ ~ ! [SY734: $i] :
~ ( sK1_R @ SV108 @ SV112 @ SY734 ) )
= $true )
| ( ( ~ ! [SY717: $i] :
~ ~ ! [SY718: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY717
@ SY718 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(472,plain,
! [SV109: $i,SV105: $i] :
( ( ( ~ ! [SY729: $i] :
~ ( sK1_R @ SV105 @ SV109 @ SY729 ) )
= $false )
| ( ( ~ ! [SY687: $i] :
~ ~ ! [SY688: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY687
@ SY688 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(473,plain,
! [SV110: $i,SV106: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV106
@ SV110 )
= $false )
| ( ( ~ ! [SY699: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY699 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(474,plain,
! [SV111: $i,SV107: $i] :
( ( ( ~ ! [SY733: $i] :
~ ( sK1_R @ SV107 @ SV111 @ SY733 ) )
= $false )
| ( ( ~ ! [SY709: $i] :
~ ~ ! [SY710: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY709
@ SY710 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(475,plain,
! [SV112: $i,SV108: $i] :
( ( ( ~ ! [SY734: $i] :
~ ( sK1_R @ SV108 @ SV112 @ SY734 ) )
= $false )
| ( ( ~ ! [SY717: $i] :
~ ~ ! [SY718: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY717
@ SY718 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(476,plain,
! [SV109: $i,SV105: $i] :
( ( ( ! [SY729: $i] :
~ ( sK1_R @ SV105 @ SV109 @ SY729 ) )
= $true )
| ( ( ~ ! [SY687: $i] :
~ ~ ! [SY688: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY687
@ SY688 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(477,plain,
! [SV110: $i,SV106: $i] :
( ( ( ! [SY699: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ SY699 ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV106
@ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(478,plain,
! [SV111: $i,SV107: $i] :
( ( ( ! [SY733: $i] :
~ ( sK1_R @ SV107 @ SV111 @ SY733 ) )
= $true )
| ( ( ~ ! [SY709: $i] :
~ ~ ! [SY710: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY709
@ SY710 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(479,plain,
! [SV112: $i,SV108: $i] :
( ( ( ! [SY734: $i] :
~ ( sK1_R @ SV108 @ SV112 @ SY734 ) )
= $true )
| ( ( ~ ! [SY717: $i] :
~ ~ ! [SY718: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY717
@ SY718 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(480,plain,
! [SV113: $i,SV109: $i,SV105: $i] :
( ( ( ~ ( sK1_R @ SV105 @ SV109 @ SV113 ) )
= $true )
| ( ( ~ ! [SY687: $i] :
~ ~ ! [SY688: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY687
@ SY688 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(481,plain,
! [SV106: $i,SV110: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( sK61_SY699 @ SV110 @ SV106 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV106
@ SV110 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[477]) ).
thf(482,plain,
! [SV114: $i,SV111: $i,SV107: $i] :
( ( ( ~ ( sK1_R @ SV107 @ SV111 @ SV114 ) )
= $true )
| ( ( ~ ! [SY709: $i] :
~ ~ ! [SY710: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY709
@ SY710 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(483,plain,
! [SV115: $i,SV112: $i,SV108: $i] :
( ( ( ~ ( sK1_R @ SV108 @ SV112 @ SV115 ) )
= $true )
| ( ( ~ ! [SY717: $i] :
~ ~ ! [SY718: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY717
@ SY718 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(484,plain,
! [SV113: $i,SV109: $i,SV105: $i] :
( ( ( sK1_R @ SV105 @ SV109 @ SV113 )
= $false )
| ( ( ~ ! [SY687: $i] :
~ ~ ! [SY688: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY687
@ SY688 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(485,plain,
! [SV106: $i,SV110: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( sK61_SY699 @ SV110 @ SV106 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV106
@ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(486,plain,
! [SV114: $i,SV111: $i,SV107: $i] :
( ( ( sK1_R @ SV107 @ SV111 @ SV114 )
= $false )
| ( ( ~ ! [SY709: $i] :
~ ~ ! [SY710: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY709
@ SY710 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(487,plain,
! [SV115: $i,SV112: $i,SV108: $i] :
( ( ( sK1_R @ SV108 @ SV112 @ SV115 )
= $false )
| ( ( ~ ! [SY717: $i] :
~ ~ ! [SY718: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY717
@ SY718 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(488,plain,
! [SV113: $i,SV109: $i,SV105: $i] :
( ( ( ! [SY687: $i] :
~ ~ ! [SY688: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY687
@ SY688 ) )
= $false )
| ( ( sK1_R @ SV105 @ SV109 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(489,plain,
! [SV114: $i,SV111: $i,SV107: $i] :
( ( ( ! [SY709: $i] :
~ ~ ! [SY710: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY709
@ SY710 ) )
= $false )
| ( ( sK1_R @ SV107 @ SV111 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(490,plain,
! [SV115: $i,SV112: $i,SV108: $i] :
( ( ( ! [SY717: $i] :
~ ~ ! [SY718: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY717
@ SY718 ) )
= $false )
| ( ( sK1_R @ SV108 @ SV112 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(491,plain,
! [SV105: $i,SV109: $i,SV113: $i] :
( ( ( ~ ~ ! [SY743: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK62_SY687 @ SV113 @ SV109 @ SV105 )
@ SY743 ) )
= $false )
| ( ( sK1_R @ SV105 @ SV109 @ SV113 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[488]) ).
thf(492,plain,
! [SV107: $i,SV111: $i,SV114: $i] :
( ( ( ~ ~ ! [SY747: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK63_SY709 @ SV114 @ SV111 @ SV107 )
@ SY747 ) )
= $false )
| ( ( sK1_R @ SV107 @ SV111 @ SV114 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[489]) ).
thf(493,plain,
! [SV108: $i,SV112: $i,SV115: $i] :
( ( ( ~ ~ ! [SY751: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK64_SY717 @ SV115 @ SV112 @ SV108 )
@ SY751 ) )
= $false )
| ( ( sK1_R @ SV108 @ SV112 @ SV115 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[490]) ).
thf(494,plain,
! [SV105: $i,SV109: $i,SV113: $i] :
( ( ( ~ ! [SY743: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK62_SY687 @ SV113 @ SV109 @ SV105 )
@ SY743 ) )
= $true )
| ( ( sK1_R @ SV105 @ SV109 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[491]) ).
thf(495,plain,
! [SV107: $i,SV111: $i,SV114: $i] :
( ( ( ~ ! [SY747: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK63_SY709 @ SV114 @ SV111 @ SV107 )
@ SY747 ) )
= $true )
| ( ( sK1_R @ SV107 @ SV111 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(496,plain,
! [SV108: $i,SV112: $i,SV115: $i] :
( ( ( ~ ! [SY751: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK64_SY717 @ SV115 @ SV112 @ SV108 )
@ SY751 ) )
= $true )
| ( ( sK1_R @ SV108 @ SV112 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(497,plain,
! [SV105: $i,SV109: $i,SV113: $i] :
( ( ( ! [SY743: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK62_SY687 @ SV113 @ SV109 @ SV105 )
@ SY743 ) )
= $false )
| ( ( sK1_R @ SV105 @ SV109 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(498,plain,
! [SV107: $i,SV111: $i,SV114: $i] :
( ( ( ! [SY747: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK63_SY709 @ SV114 @ SV111 @ SV107 )
@ SY747 ) )
= $false )
| ( ( sK1_R @ SV107 @ SV111 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(499,plain,
! [SV108: $i,SV112: $i,SV115: $i] :
( ( ( ! [SY751: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK64_SY717 @ SV115 @ SV112 @ SV108 )
@ SY751 ) )
= $false )
| ( ( sK1_R @ SV108 @ SV112 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(500,plain,
! [SV105: $i,SV109: $i,SV113: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK62_SY687 @ SV113 @ SV109 @ SV105 )
@ ( sK65_SY743 @ SV105 @ SV109 @ SV113 ) ) )
= $false )
| ( ( sK1_R @ SV105 @ SV109 @ SV113 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[497]) ).
thf(501,plain,
! [SV107: $i,SV111: $i,SV114: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK63_SY709 @ SV114 @ SV111 @ SV107 )
@ ( sK66_SY747 @ SV107 @ SV111 @ SV114 ) ) )
= $false )
| ( ( sK1_R @ SV107 @ SV111 @ SV114 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[498]) ).
thf(502,plain,
! [SV108: $i,SV112: $i,SV115: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK64_SY717 @ SV115 @ SV112 @ SV108 )
@ ( sK67_SY751 @ SV108 @ SV112 @ SV115 ) ) )
= $false )
| ( ( sK1_R @ SV108 @ SV112 @ SV115 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[499]) ).
thf(503,plain,
! [SV105: $i,SV109: $i,SV113: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK62_SY687 @ SV113 @ SV109 @ SV105 )
@ ( sK65_SY743 @ SV105 @ SV109 @ SV113 ) )
= $true )
| ( ( sK1_R @ SV105 @ SV109 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(504,plain,
! [SV107: $i,SV111: $i,SV114: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK63_SY709 @ SV114 @ SV111 @ SV107 )
@ ( sK66_SY747 @ SV107 @ SV111 @ SV114 ) )
= $true )
| ( ( sK1_R @ SV107 @ SV111 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(505,plain,
! [SV108: $i,SV112: $i,SV115: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK64_SY717 @ SV115 @ SV112 @ SV108 )
@ ( sK67_SY751 @ SV108 @ SV112 @ SV115 ) )
= $true )
| ( ( sK1_R @ SV108 @ SV112 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[502]) ).
thf(506,plain,
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( sK5_SY25 @ sK4_SY5 @ sK3_SY3 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
= sK2_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[439:[bind(SV100,$thf( sK4_SY5 )),bind(SV99,$thf( sK3_SY3 ))]]) ).
thf(507,plain,
! [SV100: $i,SV99: $i] :
( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV99
@ SV100 )
= $false ),
inference(extuni,[status(esa)],[438:[bind(SV87,$thf( sK5_SY25 @ SV100 @ SV99 ))]]) ).
thf(508,plain,
! [SV116: $i,SV117: $i] :
( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV117
@ SV116 )
= $false ),
inference(rename,[status(thm)],[507]) ).
thf(509,plain,
! [SV116: $i,SV117: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV117
@ SV116 )
= ( sK1_R @ sK2_SY0 @ sK3_SY3 @ sK4_SY5 ) )
= $false ),
inference(res,[status(thm)],[508,11]) ).
thf(510,plain,
( ( ~ ~ ! [SY776: $i] :
~ ~ ! [SY777: $i] :
~ ~ ! [SY778: $i] :
~ ( sK1_R @ SY776 @ SY777 @ SY778 )
| ~ ! [SY782: $i] :
~ ~ ! [SY783: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY782
@ SY783 ) )
= $true ),
inference(choice,[status(thm)],[508]) ).
thf(511,plain,
( ( ( ~ ~ ! [SY776: $i] :
~ ~ ! [SY777: $i] :
~ ~ ! [SY778: $i] :
~ ( sK1_R @ SY776 @ SY777 @ SY778 ) )
= $true )
| ( ( ~ ! [SY782: $i] :
~ ~ ! [SY783: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY782
@ SY783 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[510]) ).
thf(512,plain,
( ( ( ~ ! [SY776: $i] :
~ ~ ! [SY777: $i] :
~ ~ ! [SY778: $i] :
~ ( sK1_R @ SY776 @ SY777 @ SY778 ) )
= $false )
| ( ( ~ ! [SY782: $i] :
~ ~ ! [SY783: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY782
@ SY783 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(513,plain,
( ( ( ! [SY776: $i] :
~ ~ ! [SY777: $i] :
~ ~ ! [SY778: $i] :
~ ( sK1_R @ SY776 @ SY777 @ SY778 ) )
= $true )
| ( ( ~ ! [SY782: $i] :
~ ~ ! [SY783: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY782
@ SY783 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[512]) ).
thf(514,plain,
! [SV119: $i] :
( ( ( ~ ~ ! [SY784: $i] :
~ ~ ! [SY785: $i] :
~ ( sK1_R @ SV119 @ SY784 @ SY785 ) )
= $true )
| ( ( ~ ! [SY782: $i] :
~ ~ ! [SY783: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY782
@ SY783 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(515,plain,
! [SV119: $i] :
( ( ( ~ ! [SY784: $i] :
~ ~ ! [SY785: $i] :
~ ( sK1_R @ SV119 @ SY784 @ SY785 ) )
= $false )
| ( ( ~ ! [SY782: $i] :
~ ~ ! [SY783: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY782
@ SY783 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(516,plain,
! [SV119: $i] :
( ( ( ! [SY784: $i] :
~ ~ ! [SY785: $i] :
~ ( sK1_R @ SV119 @ SY784 @ SY785 ) )
= $true )
| ( ( ~ ! [SY782: $i] :
~ ~ ! [SY783: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY782
@ SY783 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[515]) ).
thf(517,plain,
! [SV120: $i,SV119: $i] :
( ( ( ~ ~ ! [SY786: $i] :
~ ( sK1_R @ SV119 @ SV120 @ SY786 ) )
= $true )
| ( ( ~ ! [SY782: $i] :
~ ~ ! [SY783: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY782
@ SY783 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(518,plain,
! [SV120: $i,SV119: $i] :
( ( ( ~ ! [SY786: $i] :
~ ( sK1_R @ SV119 @ SV120 @ SY786 ) )
= $false )
| ( ( ~ ! [SY782: $i] :
~ ~ ! [SY783: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY782
@ SY783 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(519,plain,
! [SV120: $i,SV119: $i] :
( ( ( ! [SY786: $i] :
~ ( sK1_R @ SV119 @ SV120 @ SY786 ) )
= $true )
| ( ( ~ ! [SY782: $i] :
~ ~ ! [SY783: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY782
@ SY783 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[518]) ).
thf(520,plain,
! [SV121: $i,SV120: $i,SV119: $i] :
( ( ( ~ ( sK1_R @ SV119 @ SV120 @ SV121 ) )
= $true )
| ( ( ~ ! [SY782: $i] :
~ ~ ! [SY783: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY782
@ SY783 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(521,plain,
! [SV121: $i,SV120: $i,SV119: $i] :
( ( ( sK1_R @ SV119 @ SV120 @ SV121 )
= $false )
| ( ( ~ ! [SY782: $i] :
~ ~ ! [SY783: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY782
@ SY783 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(522,plain,
! [SV121: $i,SV120: $i,SV119: $i] :
( ( ( ! [SY782: $i] :
~ ~ ! [SY783: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY782
@ SY783 ) )
= $false )
| ( ( sK1_R @ SV119 @ SV120 @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(523,plain,
! [SV119: $i,SV120: $i,SV121: $i] :
( ( ( ~ ~ ! [SY787: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK74_SY782 @ SV121 @ SV120 @ SV119 )
@ SY787 ) )
= $false )
| ( ( sK1_R @ SV119 @ SV120 @ SV121 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[522]) ).
thf(524,plain,
! [SV119: $i,SV120: $i,SV121: $i] :
( ( ( ~ ! [SY787: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK74_SY782 @ SV121 @ SV120 @ SV119 )
@ SY787 ) )
= $true )
| ( ( sK1_R @ SV119 @ SV120 @ SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[523]) ).
thf(525,plain,
! [SV119: $i,SV120: $i,SV121: $i] :
( ( ( ! [SY787: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK74_SY782 @ SV121 @ SV120 @ SV119 )
@ SY787 ) )
= $false )
| ( ( sK1_R @ SV119 @ SV120 @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(526,plain,
! [SV119: $i,SV120: $i,SV121: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK74_SY782 @ SV121 @ SV120 @ SV119 )
@ ( sK75_SY787 @ SV119 @ SV120 @ SV121 ) ) )
= $false )
| ( ( sK1_R @ SV119 @ SV120 @ SV121 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[525]) ).
thf(527,plain,
! [SV119: $i,SV120: $i,SV121: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK74_SY782 @ SV121 @ SV120 @ SV119 )
@ ( sK75_SY787 @ SV119 @ SV120 @ SV121 ) )
= $true )
| ( ( sK1_R @ SV119 @ SV120 @ SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[526]) ).
thf(528,plain,
( ( ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
= sK2_SY0 )
= $false ),
inference(extuni,[status(esa)],[509:[bind(SV116,$thf( sK4_SY5 )),bind(SV117,$thf( sK3_SY3 ))]]) ).
thf(530,plain,
( ( ~ ~ ! [SY794: $i] :
~ ~ ! [SY795: $i] :
~ ~ ! [SY796: $i] :
~ ( sK1_R @ SY794 @ SY795 @ SY796 )
| ~ ! [SY800: $i] :
~ ~ ! [SY801: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY800
@ SY801 ) )
= $true ),
inference(choice,[status(thm)],[528]) ).
thf(531,plain,
( ( ( ~ ~ ! [SY794: $i] :
~ ~ ! [SY795: $i] :
~ ~ ! [SY796: $i] :
~ ( sK1_R @ SY794 @ SY795 @ SY796 ) )
= $true )
| ( ( ~ ! [SY800: $i] :
~ ~ ! [SY801: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY800
@ SY801 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[530]) ).
thf(532,plain,
( ( ( ~ ! [SY794: $i] :
~ ~ ! [SY795: $i] :
~ ~ ! [SY796: $i] :
~ ( sK1_R @ SY794 @ SY795 @ SY796 ) )
= $false )
| ( ( ~ ! [SY800: $i] :
~ ~ ! [SY801: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY800
@ SY801 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(533,plain,
( ( ( ! [SY794: $i] :
~ ~ ! [SY795: $i] :
~ ~ ! [SY796: $i] :
~ ( sK1_R @ SY794 @ SY795 @ SY796 ) )
= $true )
| ( ( ~ ! [SY800: $i] :
~ ~ ! [SY801: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY800
@ SY801 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(534,plain,
! [SV123: $i] :
( ( ( ~ ~ ! [SY802: $i] :
~ ~ ! [SY803: $i] :
~ ( sK1_R @ SV123 @ SY802 @ SY803 ) )
= $true )
| ( ( ~ ! [SY800: $i] :
~ ~ ! [SY801: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY800
@ SY801 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(535,plain,
! [SV123: $i] :
( ( ( ~ ! [SY802: $i] :
~ ~ ! [SY803: $i] :
~ ( sK1_R @ SV123 @ SY802 @ SY803 ) )
= $false )
| ( ( ~ ! [SY800: $i] :
~ ~ ! [SY801: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY800
@ SY801 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(536,plain,
! [SV123: $i] :
( ( ( ! [SY802: $i] :
~ ~ ! [SY803: $i] :
~ ( sK1_R @ SV123 @ SY802 @ SY803 ) )
= $true )
| ( ( ~ ! [SY800: $i] :
~ ~ ! [SY801: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY800
@ SY801 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[535]) ).
thf(537,plain,
! [SV124: $i,SV123: $i] :
( ( ( ~ ~ ! [SY804: $i] :
~ ( sK1_R @ SV123 @ SV124 @ SY804 ) )
= $true )
| ( ( ~ ! [SY800: $i] :
~ ~ ! [SY801: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY800
@ SY801 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(538,plain,
! [SV124: $i,SV123: $i] :
( ( ( ~ ! [SY804: $i] :
~ ( sK1_R @ SV123 @ SV124 @ SY804 ) )
= $false )
| ( ( ~ ! [SY800: $i] :
~ ~ ! [SY801: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY800
@ SY801 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(539,plain,
! [SV124: $i,SV123: $i] :
( ( ( ! [SY804: $i] :
~ ( sK1_R @ SV123 @ SV124 @ SY804 ) )
= $true )
| ( ( ~ ! [SY800: $i] :
~ ~ ! [SY801: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY800
@ SY801 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[538]) ).
thf(540,plain,
! [SV125: $i,SV124: $i,SV123: $i] :
( ( ( ~ ( sK1_R @ SV123 @ SV124 @ SV125 ) )
= $true )
| ( ( ~ ! [SY800: $i] :
~ ~ ! [SY801: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY800
@ SY801 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(541,plain,
! [SV125: $i,SV124: $i,SV123: $i] :
( ( ( sK1_R @ SV123 @ SV124 @ SV125 )
= $false )
| ( ( ~ ! [SY800: $i] :
~ ~ ! [SY801: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY800
@ SY801 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[540]) ).
thf(542,plain,
! [SV125: $i,SV124: $i,SV123: $i] :
( ( ( ! [SY800: $i] :
~ ~ ! [SY801: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY800
@ SY801 ) )
= $false )
| ( ( sK1_R @ SV123 @ SV124 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(543,plain,
! [SV123: $i,SV124: $i,SV125: $i] :
( ( ( ~ ~ ! [SY805: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK76_SY800 @ SV125 @ SV124 @ SV123 )
@ SY805 ) )
= $false )
| ( ( sK1_R @ SV123 @ SV124 @ SV125 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[542]) ).
thf(544,plain,
! [SV123: $i,SV124: $i,SV125: $i] :
( ( ( ~ ! [SY805: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK76_SY800 @ SV125 @ SV124 @ SV123 )
@ SY805 ) )
= $true )
| ( ( sK1_R @ SV123 @ SV124 @ SV125 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[543]) ).
thf(545,plain,
! [SV123: $i,SV124: $i,SV125: $i] :
( ( ( ! [SY805: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK76_SY800 @ SV125 @ SV124 @ SV123 )
@ SY805 ) )
= $false )
| ( ( sK1_R @ SV123 @ SV124 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(546,plain,
! [SV123: $i,SV124: $i,SV125: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK76_SY800 @ SV125 @ SV124 @ SV123 )
@ ( sK77_SY805 @ SV123 @ SV124 @ SV125 ) ) )
= $false )
| ( ( sK1_R @ SV123 @ SV124 @ SV125 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[545]) ).
thf(547,plain,
! [SV123: $i,SV124: $i,SV125: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK76_SY800 @ SV125 @ SV124 @ SV123 )
@ ( sK77_SY805 @ SV123 @ SV124 @ SV125 ) )
= $true )
| ( ( sK1_R @ SV123 @ SV124 @ SV125 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[546]) ).
thf(549,plain,
! [SV128: $i,SV129: $i,SV130: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV130 @ SV129 @ SV128 )
@ ( sK11_SY143 @ SV128 @ SV129 @ SV130 ) )
= $true )
| ( ( sK1_R @ SV128 @ SV129 @ SV130 )
= $false ) ),
inference(rename,[status(thm)],[117]) ).
thf(553,plain,
! [SV128: $i,SV129: $i,SV130: $i,SV116: $i,SV117: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV130 @ SV129 @ SV128 )
@ ( sK11_SY143 @ SV128 @ SV129 @ SV130 ) )
= ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV117
@ SV116 ) )
= $false )
| ( ( sK1_R @ SV128 @ SV129 @ SV130 )
= $false ) ),
inference(res,[status(thm)],[549,508]) ).
thf(554,plain,
! [SV128: $i,SV129: $i,SV130: $i] :
( ( ( ( sK1_R @ SV128 @ SV129 @ SV130 )
= ( sK1_R @ sK2_SY0 @ sK3_SY3 @ sK4_SY5 ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV130 @ SV129 @ SV128 )
@ ( sK11_SY143 @ SV128 @ SV129 @ SV130 ) )
= $true ) ),
inference(res,[status(thm)],[549,11]) ).
thf(555,plain,
( ( ~ ~ ! [SY818: $i] :
~ ~ ! [SY819: $i] :
~ ~ ! [SY820: $i] :
~ ( sK1_R @ SY818 @ SY819 @ SY820 )
| ~ ! [SY824: $i] :
~ ~ ! [SY825: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY824
@ SY825 ) )
= $true ),
inference(choice,[status(thm)],[549]) ).
thf(556,plain,
( ( ( ~ ~ ! [SY818: $i] :
~ ~ ! [SY819: $i] :
~ ~ ! [SY820: $i] :
~ ( sK1_R @ SY818 @ SY819 @ SY820 ) )
= $true )
| ( ( ~ ! [SY824: $i] :
~ ~ ! [SY825: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY824
@ SY825 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[555]) ).
thf(557,plain,
( ( ( ~ ! [SY818: $i] :
~ ~ ! [SY819: $i] :
~ ~ ! [SY820: $i] :
~ ( sK1_R @ SY818 @ SY819 @ SY820 ) )
= $false )
| ( ( ~ ! [SY824: $i] :
~ ~ ! [SY825: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY824
@ SY825 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(558,plain,
( ( ( ! [SY818: $i] :
~ ~ ! [SY819: $i] :
~ ~ ! [SY820: $i] :
~ ( sK1_R @ SY818 @ SY819 @ SY820 ) )
= $true )
| ( ( ~ ! [SY824: $i] :
~ ~ ! [SY825: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY824
@ SY825 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(559,plain,
! [SV132: $i] :
( ( ( ~ ~ ! [SY826: $i] :
~ ~ ! [SY827: $i] :
~ ( sK1_R @ SV132 @ SY826 @ SY827 ) )
= $true )
| ( ( ~ ! [SY824: $i] :
~ ~ ! [SY825: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY824
@ SY825 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(560,plain,
! [SV132: $i] :
( ( ( ~ ! [SY826: $i] :
~ ~ ! [SY827: $i] :
~ ( sK1_R @ SV132 @ SY826 @ SY827 ) )
= $false )
| ( ( ~ ! [SY824: $i] :
~ ~ ! [SY825: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY824
@ SY825 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(561,plain,
! [SV132: $i] :
( ( ( ! [SY826: $i] :
~ ~ ! [SY827: $i] :
~ ( sK1_R @ SV132 @ SY826 @ SY827 ) )
= $true )
| ( ( ~ ! [SY824: $i] :
~ ~ ! [SY825: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY824
@ SY825 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[560]) ).
thf(562,plain,
! [SV133: $i,SV132: $i] :
( ( ( ~ ~ ! [SY828: $i] :
~ ( sK1_R @ SV132 @ SV133 @ SY828 ) )
= $true )
| ( ( ~ ! [SY824: $i] :
~ ~ ! [SY825: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY824
@ SY825 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(563,plain,
! [SV133: $i,SV132: $i] :
( ( ( ~ ! [SY828: $i] :
~ ( sK1_R @ SV132 @ SV133 @ SY828 ) )
= $false )
| ( ( ~ ! [SY824: $i] :
~ ~ ! [SY825: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY824
@ SY825 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(564,plain,
! [SV133: $i,SV132: $i] :
( ( ( ! [SY828: $i] :
~ ( sK1_R @ SV132 @ SV133 @ SY828 ) )
= $true )
| ( ( ~ ! [SY824: $i] :
~ ~ ! [SY825: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY824
@ SY825 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(565,plain,
! [SV134: $i,SV133: $i,SV132: $i] :
( ( ( ~ ( sK1_R @ SV132 @ SV133 @ SV134 ) )
= $true )
| ( ( ~ ! [SY824: $i] :
~ ~ ! [SY825: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY824
@ SY825 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(566,plain,
! [SV134: $i,SV133: $i,SV132: $i] :
( ( ( sK1_R @ SV132 @ SV133 @ SV134 )
= $false )
| ( ( ~ ! [SY824: $i] :
~ ~ ! [SY825: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY824
@ SY825 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(567,plain,
! [SV134: $i,SV133: $i,SV132: $i] :
( ( ( ! [SY824: $i] :
~ ~ ! [SY825: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY824
@ SY825 ) )
= $false )
| ( ( sK1_R @ SV132 @ SV133 @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(568,plain,
! [SV132: $i,SV133: $i,SV134: $i] :
( ( ( ~ ~ ! [SY829: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK81_SY824 @ SV134 @ SV133 @ SV132 )
@ SY829 ) )
= $false )
| ( ( sK1_R @ SV132 @ SV133 @ SV134 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[567]) ).
thf(569,plain,
! [SV132: $i,SV133: $i,SV134: $i] :
( ( ( ~ ! [SY829: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK81_SY824 @ SV134 @ SV133 @ SV132 )
@ SY829 ) )
= $true )
| ( ( sK1_R @ SV132 @ SV133 @ SV134 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(570,plain,
! [SV132: $i,SV133: $i,SV134: $i] :
( ( ( ! [SY829: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK81_SY824 @ SV134 @ SV133 @ SV132 )
@ SY829 ) )
= $false )
| ( ( sK1_R @ SV132 @ SV133 @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(571,plain,
! [SV132: $i,SV133: $i,SV134: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK81_SY824 @ SV134 @ SV133 @ SV132 )
@ ( sK82_SY829 @ SV132 @ SV133 @ SV134 ) ) )
= $false )
| ( ( sK1_R @ SV132 @ SV133 @ SV134 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[570]) ).
thf(572,plain,
! [SV132: $i,SV133: $i,SV134: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK81_SY824 @ SV134 @ SV133 @ SV132 )
@ ( sK82_SY829 @ SV132 @ SV133 @ SV134 ) )
= $true )
| ( ( sK1_R @ SV132 @ SV133 @ SV134 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[571]) ).
thf(573,plain,
( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ sK4_SY5 @ sK3_SY3 @ sK2_SY0 )
@ ( sK11_SY143 @ sK2_SY0 @ sK3_SY3 @ sK4_SY5 ) )
= $true ),
inference(extuni,[status(esa)],[554:[bind(SV130,$thf( sK4_SY5 )),bind(SV129,$thf( sK3_SY3 )),bind(SV128,$thf( sK2_SY0 ))]]) ).
thf(574,plain,
! [SV130: $i,SV129: $i,SV128: $i] :
( ( sK1_R @ SV128 @ SV129 @ SV130 )
= $false ),
inference(extuni,[status(esa)],[553:[bind(SV116,$thf( sK11_SY143 @ SV128 @ SV129 @ SV130 )),bind(SV117,$thf( sK7_SY13 @ SV130 @ SV129 @ SV128 ))]]) ).
thf(575,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,574,573,572,549,547,528,527,508,506,505,504,503,485,434,433,432,420,380,379,378,377,376,375,374,342,339,336,286,224,223,222,221,220,198,195,160,120,119,118]) ).
thf(576,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[575]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO534^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.16 % Computer : n013.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Tue Oct 6 17:41:51 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.15/0.72
% 3.15/0.72 No.of.Axioms: 1
% 3.15/0.72
% 3.15/0.72 Length.of.Defs: 507
% 3.15/0.72
% 3.15/0.72 Contains.Choice.Funs: true
% 3.15/0.72 .
% 3.15/0.72
% 3.15/0.72 *** Modified list of choice operators: eps ***
% 3.15/0.72 ......................................................
% 3.15/0.72
% 3.15/0.72 ********************************
% 3.15/0.72 * All subproblems solved! *
% 3.15/0.72 ********************************
% 3.15/0.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:575,loop_count:10,foatp_calls:4,translation:fof_full)
% 3.15/0.72
% 3.15/0.72 %**** Beginning of derivation protocol ****
% 3.15/0.72 % SZS output start CNFRefutation
% See solution above
% 3.15/0.73
% 3.15/0.73 %**** End of derivation protocol ****
% 3.15/0.73 %**** no. of clauses in derivation: 546 ****
% 3.15/0.73 %**** clause counter: 575 ****
% 3.15/0.73
% 3.15/0.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:575,loop_count:10,foatp_calls:4,translation:fof_full)
%------------------------------------------------------------------------------