TSTP Solution File: SYO534^1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO534^1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 17:35:24 EDT 2022
% Result : Theorem 11.70s 11.94s
% Output : CNFRefutation 11.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 69
% Syntax : Number of formulae : 760 ( 57 unt; 65 typ; 3 def)
% Number of atoms : 6097 (1460 equ; 0 cnn)
% Maximal formula atoms : 3 ( 8 avg)
% Number of connectives : 22814 (9091 ~; 725 |; 0 &;12995 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 194 ( 194 >; 0 *; 0 +; 0 <<)
% Number of symbols : 68 ( 65 usr; 5 con; 0-3 aty)
% Number of variables : 7614 (1800 ^5799 !; 15 ?;7614 :)
% 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_SY582,type,
sK40_SY582: $i > $i > $i ).
thf(tp_sK41_SY570,type,
sK41_SY570: $i > $i > $i > $i ).
thf(tp_sK42_SY592,type,
sK42_SY592: $i > $i > $i > $i ).
thf(tp_sK43_SY600,type,
sK43_SY600: $i > $i > $i > $i ).
thf(tp_sK44_SY626,type,
sK44_SY626: $i > $i > $i > $i ).
thf(tp_sK45_SY630,type,
sK45_SY630: $i > $i > $i > $i ).
thf(tp_sK46_SY634,type,
sK46_SY634: $i > $i > $i > $i ).
thf(tp_sK47_SY665,type,
sK47_SY665: $i > $i > $i ).
thf(tp_sK48_SY653,type,
sK48_SY653: $i > $i > $i > $i ).
thf(tp_sK49_SY675,type,
sK49_SY675: $i > $i > $i > $i ).
thf(tp_sK4_SY5,type,
sK4_SY5: $i ).
thf(tp_sK50_SY683,type,
sK50_SY683: $i > $i > $i > $i ).
thf(tp_sK51_SY709,type,
sK51_SY709: $i > $i > $i > $i ).
thf(tp_sK52_SY713,type,
sK52_SY713: $i > $i > $i > $i ).
thf(tp_sK53_SY717,type,
sK53_SY717: $i > $i > $i > $i ).
thf(tp_sK54_SY736,type,
sK54_SY736: $i > $i > $i > $i ).
thf(tp_sK55_SY741,type,
sK55_SY741: $i > $i > $i > $i ).
thf(tp_sK56_SY754,type,
sK56_SY754: $i > $i > $i > $i ).
thf(tp_sK57_SY759,type,
sK57_SY759: $i > $i > $i > $i ).
thf(tp_sK58_SY772,type,
sK58_SY772: $i > $i > $i > $i ).
thf(tp_sK59_SY777,type,
sK59_SY777: $i > $i > $i > $i ).
thf(tp_sK5_SY25,type,
sK5_SY25: $i > $i > $i ).
thf(tp_sK60_SY790,type,
sK60_SY790: $i > $i > $i > $i ).
thf(tp_sK61_SY795,type,
sK61_SY795: $i > $i > $i > $i ).
thf(tp_sK6_SY81,type,
sK6_SY81: $i > $i > $i ).
thf(tp_sK7_SY13,type,
sK7_SY13: $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',epsa) ).
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',epsb) ).
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',epsc) ).
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(24,plain,
( ( ~ ~ ! [SY71: $i] :
~ ~ ! [SY72: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY71
@ SY72 )
| ~ ! [SY81: $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 ) )
@ SY81 ) )
= $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(31,plain,
( ( ( ~ ~ ! [SY71: $i] :
~ ~ ! [SY72: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY71
@ SY72 ) )
= $true )
| ( ( ~ ! [SY81: $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 ) )
@ SY81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
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(38,plain,
( ( ( ~ ! [SY71: $i] :
~ ~ ! [SY72: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY71
@ SY72 ) )
= $false )
| ( ( ~ ! [SY81: $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 ) )
@ SY81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
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(45,plain,
( ( ( ! [SY71: $i] :
~ ~ ! [SY72: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SY71
@ SY72 ) )
= $true )
| ( ( ~ ! [SY81: $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 ) )
@ SY81 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
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(52,plain,
! [SV15: $i] :
( ( ( ~ ~ ! [SY111: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV15
@ SY111 ) )
= $true )
| ( ( ~ ! [SY81: $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 ) )
@ SY81 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
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(59,plain,
! [SV15: $i] :
( ( ( ~ ! [SY111: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV15
@ SY111 ) )
= $false )
| ( ( ~ ! [SY81: $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 ) )
@ SY81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
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(65,plain,
! [SV15: $i] :
( ( ( ! [SY111: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV15
@ SY111 ) )
= $true )
| ( ( ~ ! [SY81: $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 ) )
@ SY81 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
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(71,plain,
! [SV21: $i,SV15: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV15
@ SV21 ) )
= $true )
| ( ( ~ ! [SY81: $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 ) )
@ SY81 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
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(77,plain,
! [SV21: $i,SV15: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV15
@ SV21 )
= $false )
| ( ( ~ ! [SY81: $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 ) )
@ SY81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
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(83,plain,
! [SV21: $i,SV15: $i] :
( ( ( ! [SY81: $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 ) )
@ SY81 ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV15
@ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
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(89,plain,
! [SV15: $i,SV21: $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 ) )
@ ( sK6_SY81 @ SV21 @ SV15 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV15
@ SV21 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[83]) ).
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(95,plain,
! [SV15: $i,SV21: $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 ) )
@ ( sK6_SY81 @ SV21 @ SV15 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( sK1_R @ SX3 @ SX4 @ SX5 ) )
@ SV15
@ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
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,SV88: $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 @ SV88 @ SV87 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV87
@ SV88 )
= $false ) ),
inference(rename,[status(thm)],[92]) ).
thf(387,plain,
! [SV87: $i,SV88: $i,SV51: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV87
@ SV88 )
= ( 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 ) )
@ ( sK5_SY25 @ SV88 @ SV87 ) )
= $true )
| ( ( 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)],[384,225]) ).
thf(388,plain,
! [SV87: $i,SV88: $i,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 ) )
@ ( sK5_SY25 @ SV88 @ SV87 ) )
= ( 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 ) )
@ SV87
@ SV88 )
= $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)],[384,225]) ).
thf(389,plain,
! [SV87: $i,SV88: $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 @ SV88 @ SV87 ) )
= ( 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 ) )
@ SV87
@ SV88 )
= $false ) ),
inference(res,[status(thm)],[384,15]) ).
thf(390,plain,
! [SV87: $i,SV88: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV87
@ SV88 )
= ( 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 @ SV88 @ SV87 ) )
= $true ) ),
inference(res,[status(thm)],[384,11]) ).
thf(391,plain,
( ( ~ ~ ! [SY564: $i] :
~ ~ ! [SY565: $i] :
~ ~ ! [SY566: $i] :
~ ( sK1_R @ SY564 @ SY565 @ SY566 )
| ~ ! [SY570: $i] :
~ ~ ! [SY571: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY570
@ SY571 ) )
= $true ),
inference(choice,[status(thm)],[384]) ).
thf(392,plain,
( ( ~ ~ ! [SY572: $i] :
~ ~ ! [SY573: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY572
@ SY573 )
| ~ ! [SY582: $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 ) )
@ SY582 ) )
= $true ),
inference(choice,[status(thm)],[384]) ).
thf(393,plain,
( ( ~ ~ ! [SY586: $i] :
~ ~ ! [SY587: $i] :
~ ~ ! [SY588: $i] :
~ ( sK1_R @ SY586 @ SY587 @ SY588 )
| ~ ! [SY592: $i] :
~ ~ ! [SY593: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY592
@ SY593 ) )
= $true ),
inference(choice,[status(thm)],[384]) ).
thf(394,plain,
( ( ~ ~ ! [SY594: $i] :
~ ~ ! [SY595: $i] :
~ ~ ! [SY596: $i] :
~ ( sK1_R @ SY594 @ SY595 @ SY596 )
| ~ ! [SY600: $i] :
~ ~ ! [SY601: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY600
@ SY601 ) )
= $true ),
inference(choice,[status(thm)],[384]) ).
thf(395,plain,
( ( ( ~ ~ ! [SY564: $i] :
~ ~ ! [SY565: $i] :
~ ~ ! [SY566: $i] :
~ ( sK1_R @ SY564 @ SY565 @ SY566 ) )
= $true )
| ( ( ~ ! [SY570: $i] :
~ ~ ! [SY571: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY570
@ SY571 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(396,plain,
( ( ( ~ ~ ! [SY572: $i] :
~ ~ ! [SY573: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY572
@ SY573 ) )
= $true )
| ( ( ~ ! [SY582: $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 ) )
@ SY582 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[392]) ).
thf(397,plain,
( ( ( ~ ~ ! [SY586: $i] :
~ ~ ! [SY587: $i] :
~ ~ ! [SY588: $i] :
~ ( sK1_R @ SY586 @ SY587 @ SY588 ) )
= $true )
| ( ( ~ ! [SY592: $i] :
~ ~ ! [SY593: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY592
@ SY593 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(398,plain,
( ( ( ~ ~ ! [SY594: $i] :
~ ~ ! [SY595: $i] :
~ ~ ! [SY596: $i] :
~ ( sK1_R @ SY594 @ SY595 @ SY596 ) )
= $true )
| ( ( ~ ! [SY600: $i] :
~ ~ ! [SY601: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY600
@ SY601 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[394]) ).
thf(399,plain,
( ( ( ~ ! [SY564: $i] :
~ ~ ! [SY565: $i] :
~ ~ ! [SY566: $i] :
~ ( sK1_R @ SY564 @ SY565 @ SY566 ) )
= $false )
| ( ( ~ ! [SY570: $i] :
~ ~ ! [SY571: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY570
@ SY571 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(400,plain,
( ( ( ~ ! [SY572: $i] :
~ ~ ! [SY573: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY572
@ SY573 ) )
= $false )
| ( ( ~ ! [SY582: $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 ) )
@ SY582 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(401,plain,
( ( ( ~ ! [SY586: $i] :
~ ~ ! [SY587: $i] :
~ ~ ! [SY588: $i] :
~ ( sK1_R @ SY586 @ SY587 @ SY588 ) )
= $false )
| ( ( ~ ! [SY592: $i] :
~ ~ ! [SY593: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY592
@ SY593 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(402,plain,
( ( ( ~ ! [SY594: $i] :
~ ~ ! [SY595: $i] :
~ ~ ! [SY596: $i] :
~ ( sK1_R @ SY594 @ SY595 @ SY596 ) )
= $false )
| ( ( ~ ! [SY600: $i] :
~ ~ ! [SY601: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY600
@ SY601 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(403,plain,
( ( ( ! [SY564: $i] :
~ ~ ! [SY565: $i] :
~ ~ ! [SY566: $i] :
~ ( sK1_R @ SY564 @ SY565 @ SY566 ) )
= $true )
| ( ( ~ ! [SY570: $i] :
~ ~ ! [SY571: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY570
@ SY571 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[399]) ).
thf(404,plain,
( ( ( ! [SY572: $i] :
~ ~ ! [SY573: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY572
@ SY573 ) )
= $true )
| ( ( ~ ! [SY582: $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 ) )
@ SY582 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[400]) ).
thf(405,plain,
( ( ( ! [SY586: $i] :
~ ~ ! [SY587: $i] :
~ ~ ! [SY588: $i] :
~ ( sK1_R @ SY586 @ SY587 @ SY588 ) )
= $true )
| ( ( ~ ! [SY592: $i] :
~ ~ ! [SY593: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY592
@ SY593 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(406,plain,
( ( ( ! [SY594: $i] :
~ ~ ! [SY595: $i] :
~ ~ ! [SY596: $i] :
~ ( sK1_R @ SY594 @ SY595 @ SY596 ) )
= $true )
| ( ( ~ ! [SY600: $i] :
~ ~ ! [SY601: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY600
@ SY601 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[402]) ).
thf(407,plain,
! [SV93: $i] :
( ( ( ~ ~ ! [SY602: $i] :
~ ~ ! [SY603: $i] :
~ ( sK1_R @ SV93 @ SY602 @ SY603 ) )
= $true )
| ( ( ~ ! [SY570: $i] :
~ ~ ! [SY571: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY570
@ SY571 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(408,plain,
! [SV94: $i] :
( ( ( ~ ~ ! [SY604: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV94
@ SY604 ) )
= $true )
| ( ( ~ ! [SY582: $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 ) )
@ SY582 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(409,plain,
! [SV95: $i] :
( ( ( ~ ~ ! [SY608: $i] :
~ ~ ! [SY609: $i] :
~ ( sK1_R @ SV95 @ SY608 @ SY609 ) )
= $true )
| ( ( ~ ! [SY592: $i] :
~ ~ ! [SY593: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY592
@ SY593 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(410,plain,
! [SV96: $i] :
( ( ( ~ ~ ! [SY610: $i] :
~ ~ ! [SY611: $i] :
~ ( sK1_R @ SV96 @ SY610 @ SY611 ) )
= $true )
| ( ( ~ ! [SY600: $i] :
~ ~ ! [SY601: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY600
@ SY601 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(411,plain,
! [SV93: $i] :
( ( ( ~ ! [SY602: $i] :
~ ~ ! [SY603: $i] :
~ ( sK1_R @ SV93 @ SY602 @ SY603 ) )
= $false )
| ( ( ~ ! [SY570: $i] :
~ ~ ! [SY571: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY570
@ SY571 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(412,plain,
! [SV94: $i] :
( ( ( ~ ! [SY604: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV94
@ SY604 ) )
= $false )
| ( ( ~ ! [SY582: $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 ) )
@ SY582 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(413,plain,
! [SV95: $i] :
( ( ( ~ ! [SY608: $i] :
~ ~ ! [SY609: $i] :
~ ( sK1_R @ SV95 @ SY608 @ SY609 ) )
= $false )
| ( ( ~ ! [SY592: $i] :
~ ~ ! [SY593: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY592
@ SY593 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(414,plain,
! [SV96: $i] :
( ( ( ~ ! [SY610: $i] :
~ ~ ! [SY611: $i] :
~ ( sK1_R @ SV96 @ SY610 @ SY611 ) )
= $false )
| ( ( ~ ! [SY600: $i] :
~ ~ ! [SY601: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY600
@ SY601 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(415,plain,
! [SV93: $i] :
( ( ( ! [SY602: $i] :
~ ~ ! [SY603: $i] :
~ ( sK1_R @ SV93 @ SY602 @ SY603 ) )
= $true )
| ( ( ~ ! [SY570: $i] :
~ ~ ! [SY571: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY570
@ SY571 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[411]) ).
thf(416,plain,
! [SV94: $i] :
( ( ( ! [SY604: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV94
@ SY604 ) )
= $true )
| ( ( ~ ! [SY582: $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 ) )
@ SY582 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[412]) ).
thf(417,plain,
! [SV95: $i] :
( ( ( ! [SY608: $i] :
~ ~ ! [SY609: $i] :
~ ( sK1_R @ SV95 @ SY608 @ SY609 ) )
= $true )
| ( ( ~ ! [SY592: $i] :
~ ~ ! [SY593: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY592
@ SY593 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(418,plain,
! [SV96: $i] :
( ( ( ! [SY610: $i] :
~ ~ ! [SY611: $i] :
~ ( sK1_R @ SV96 @ SY610 @ SY611 ) )
= $true )
| ( ( ~ ! [SY600: $i] :
~ ~ ! [SY601: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY600
@ SY601 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[414]) ).
thf(419,plain,
! [SV97: $i,SV93: $i] :
( ( ( ~ ~ ! [SY612: $i] :
~ ( sK1_R @ SV93 @ SV97 @ SY612 ) )
= $true )
| ( ( ~ ! [SY570: $i] :
~ ~ ! [SY571: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY570
@ SY571 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(420,plain,
! [SV98: $i,SV94: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV94
@ SV98 ) )
= $true )
| ( ( ~ ! [SY582: $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 ) )
@ SY582 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(421,plain,
! [SV99: $i,SV95: $i] :
( ( ( ~ ~ ! [SY616: $i] :
~ ( sK1_R @ SV95 @ SV99 @ SY616 ) )
= $true )
| ( ( ~ ! [SY592: $i] :
~ ~ ! [SY593: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY592
@ SY593 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(422,plain,
! [SV100: $i,SV96: $i] :
( ( ( ~ ~ ! [SY617: $i] :
~ ( sK1_R @ SV96 @ SV100 @ SY617 ) )
= $true )
| ( ( ~ ! [SY600: $i] :
~ ~ ! [SY601: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY600
@ SY601 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(423,plain,
! [SV97: $i,SV93: $i] :
( ( ( ~ ! [SY612: $i] :
~ ( sK1_R @ SV93 @ SV97 @ SY612 ) )
= $false )
| ( ( ~ ! [SY570: $i] :
~ ~ ! [SY571: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY570
@ SY571 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(424,plain,
! [SV98: $i,SV94: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV94
@ SV98 )
= $false )
| ( ( ~ ! [SY582: $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 ) )
@ SY582 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(425,plain,
! [SV99: $i,SV95: $i] :
( ( ( ~ ! [SY616: $i] :
~ ( sK1_R @ SV95 @ SV99 @ SY616 ) )
= $false )
| ( ( ~ ! [SY592: $i] :
~ ~ ! [SY593: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY592
@ SY593 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(426,plain,
! [SV100: $i,SV96: $i] :
( ( ( ~ ! [SY617: $i] :
~ ( sK1_R @ SV96 @ SV100 @ SY617 ) )
= $false )
| ( ( ~ ! [SY600: $i] :
~ ~ ! [SY601: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY600
@ SY601 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(427,plain,
! [SV97: $i,SV93: $i] :
( ( ( ! [SY612: $i] :
~ ( sK1_R @ SV93 @ SV97 @ SY612 ) )
= $true )
| ( ( ~ ! [SY570: $i] :
~ ~ ! [SY571: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY570
@ SY571 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(428,plain,
! [SV98: $i,SV94: $i] :
( ( ( ! [SY582: $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 ) )
@ SY582 ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV94
@ SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(429,plain,
! [SV99: $i,SV95: $i] :
( ( ( ! [SY616: $i] :
~ ( sK1_R @ SV95 @ SV99 @ SY616 ) )
= $true )
| ( ( ~ ! [SY592: $i] :
~ ~ ! [SY593: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY592
@ SY593 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(430,plain,
! [SV100: $i,SV96: $i] :
( ( ( ! [SY617: $i] :
~ ( sK1_R @ SV96 @ SV100 @ SY617 ) )
= $true )
| ( ( ~ ! [SY600: $i] :
~ ~ ! [SY601: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY600
@ SY601 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(431,plain,
! [SV101: $i,SV97: $i,SV93: $i] :
( ( ( ~ ( sK1_R @ SV93 @ SV97 @ SV101 ) )
= $true )
| ( ( ~ ! [SY570: $i] :
~ ~ ! [SY571: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY570
@ SY571 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(432,plain,
! [SV94: $i,SV98: $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 ) )
@ ( sK40_SY582 @ SV98 @ SV94 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV94
@ SV98 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[428]) ).
thf(433,plain,
! [SV102: $i,SV99: $i,SV95: $i] :
( ( ( ~ ( sK1_R @ SV95 @ SV99 @ SV102 ) )
= $true )
| ( ( ~ ! [SY592: $i] :
~ ~ ! [SY593: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY592
@ SY593 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(434,plain,
! [SV103: $i,SV100: $i,SV96: $i] :
( ( ( ~ ( sK1_R @ SV96 @ SV100 @ SV103 ) )
= $true )
| ( ( ~ ! [SY600: $i] :
~ ~ ! [SY601: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY600
@ SY601 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(435,plain,
! [SV101: $i,SV97: $i,SV93: $i] :
( ( ( sK1_R @ SV93 @ SV97 @ SV101 )
= $false )
| ( ( ~ ! [SY570: $i] :
~ ~ ! [SY571: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY570
@ SY571 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(436,plain,
! [SV94: $i,SV98: $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 ) )
@ ( sK40_SY582 @ SV98 @ SV94 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV94
@ SV98 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[432]) ).
thf(437,plain,
! [SV102: $i,SV99: $i,SV95: $i] :
( ( ( sK1_R @ SV95 @ SV99 @ SV102 )
= $false )
| ( ( ~ ! [SY592: $i] :
~ ~ ! [SY593: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY592
@ SY593 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(438,plain,
! [SV103: $i,SV100: $i,SV96: $i] :
( ( ( sK1_R @ SV96 @ SV100 @ SV103 )
= $false )
| ( ( ~ ! [SY600: $i] :
~ ~ ! [SY601: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY600
@ SY601 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(439,plain,
! [SV101: $i,SV97: $i,SV93: $i] :
( ( ( ! [SY570: $i] :
~ ~ ! [SY571: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY570
@ SY571 ) )
= $false )
| ( ( sK1_R @ SV93 @ SV97 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(440,plain,
! [SV102: $i,SV99: $i,SV95: $i] :
( ( ( ! [SY592: $i] :
~ ~ ! [SY593: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY592
@ SY593 ) )
= $false )
| ( ( sK1_R @ SV95 @ SV99 @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(441,plain,
! [SV103: $i,SV100: $i,SV96: $i] :
( ( ( ! [SY600: $i] :
~ ~ ! [SY601: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY600
@ SY601 ) )
= $false )
| ( ( sK1_R @ SV96 @ SV100 @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(442,plain,
! [SV93: $i,SV97: $i,SV101: $i] :
( ( ( ~ ~ ! [SY626: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK41_SY570 @ SV101 @ SV97 @ SV93 )
@ SY626 ) )
= $false )
| ( ( sK1_R @ SV93 @ SV97 @ SV101 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[439]) ).
thf(443,plain,
! [SV95: $i,SV99: $i,SV102: $i] :
( ( ( ~ ~ ! [SY630: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK42_SY592 @ SV102 @ SV99 @ SV95 )
@ SY630 ) )
= $false )
| ( ( sK1_R @ SV95 @ SV99 @ SV102 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[440]) ).
thf(444,plain,
! [SV96: $i,SV100: $i,SV103: $i] :
( ( ( ~ ~ ! [SY634: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK43_SY600 @ SV103 @ SV100 @ SV96 )
@ SY634 ) )
= $false )
| ( ( sK1_R @ SV96 @ SV100 @ SV103 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[441]) ).
thf(445,plain,
! [SV93: $i,SV97: $i,SV101: $i] :
( ( ( ~ ! [SY626: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK41_SY570 @ SV101 @ SV97 @ SV93 )
@ SY626 ) )
= $true )
| ( ( sK1_R @ SV93 @ SV97 @ SV101 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[442]) ).
thf(446,plain,
! [SV95: $i,SV99: $i,SV102: $i] :
( ( ( ~ ! [SY630: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK42_SY592 @ SV102 @ SV99 @ SV95 )
@ SY630 ) )
= $true )
| ( ( sK1_R @ SV95 @ SV99 @ SV102 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[443]) ).
thf(447,plain,
! [SV96: $i,SV100: $i,SV103: $i] :
( ( ( ~ ! [SY634: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK43_SY600 @ SV103 @ SV100 @ SV96 )
@ SY634 ) )
= $true )
| ( ( sK1_R @ SV96 @ SV100 @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[444]) ).
thf(448,plain,
! [SV93: $i,SV97: $i,SV101: $i] :
( ( ( ! [SY626: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK41_SY570 @ SV101 @ SV97 @ SV93 )
@ SY626 ) )
= $false )
| ( ( sK1_R @ SV93 @ SV97 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(449,plain,
! [SV95: $i,SV99: $i,SV102: $i] :
( ( ( ! [SY630: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK42_SY592 @ SV102 @ SV99 @ SV95 )
@ SY630 ) )
= $false )
| ( ( sK1_R @ SV95 @ SV99 @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(450,plain,
! [SV96: $i,SV100: $i,SV103: $i] :
( ( ( ! [SY634: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK43_SY600 @ SV103 @ SV100 @ SV96 )
@ SY634 ) )
= $false )
| ( ( sK1_R @ SV96 @ SV100 @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(451,plain,
! [SV93: $i,SV97: $i,SV101: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK41_SY570 @ SV101 @ SV97 @ SV93 )
@ ( sK44_SY626 @ SV93 @ SV97 @ SV101 ) ) )
= $false )
| ( ( sK1_R @ SV93 @ SV97 @ SV101 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[448]) ).
thf(452,plain,
! [SV95: $i,SV99: $i,SV102: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK42_SY592 @ SV102 @ SV99 @ SV95 )
@ ( sK45_SY630 @ SV95 @ SV99 @ SV102 ) ) )
= $false )
| ( ( sK1_R @ SV95 @ SV99 @ SV102 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[449]) ).
thf(453,plain,
! [SV96: $i,SV100: $i,SV103: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK43_SY600 @ SV103 @ SV100 @ SV96 )
@ ( sK46_SY634 @ SV96 @ SV100 @ SV103 ) ) )
= $false )
| ( ( sK1_R @ SV96 @ SV100 @ SV103 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[450]) ).
thf(454,plain,
! [SV93: $i,SV97: $i,SV101: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK41_SY570 @ SV101 @ SV97 @ SV93 )
@ ( sK44_SY626 @ SV93 @ SV97 @ SV101 ) )
= $true )
| ( ( sK1_R @ SV93 @ SV97 @ SV101 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(455,plain,
! [SV95: $i,SV99: $i,SV102: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK42_SY592 @ SV102 @ SV99 @ SV95 )
@ ( sK45_SY630 @ SV95 @ SV99 @ SV102 ) )
= $true )
| ( ( sK1_R @ SV95 @ SV99 @ SV102 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(456,plain,
! [SV96: $i,SV100: $i,SV103: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK43_SY600 @ SV103 @ SV100 @ SV96 )
@ ( sK46_SY634 @ SV96 @ SV100 @ SV103 ) )
= $true )
| ( ( sK1_R @ SV96 @ SV100 @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[453]) ).
thf(457,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 )
= $false ) ),
inference(extuni,[status(esa)],[390:[bind(SV88,$thf( sK4_SY5 )),bind(SV87,$thf( sK3_SY3 ))]]) ).
thf(458,plain,
! [SV88: $i,SV87: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV87
@ SV88 )
= $false )
| ( ( ( sK5_SY25 @ SV88 @ SV87 )
= ( 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(extuni,[status(esa)],[389]) ).
thf(459,plain,
! [SV88: $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 ) )
@ ( 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 )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV87
@ SV88 )
= $false ) ),
inference(extuni,[status(esa)],[388:[bind(SV51,$thf( sK5_SY25 @ SV88 @ SV87 ))]]) ).
thf(460,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 ) )
@ ( sK5_SY25
@ ( 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 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[387:[bind(SV88,$thf( 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: $i] : ~ ( sK1_R @ SX3 @ SX4 @ SX5 ) ) ) ) ) @ SX1 @ SX2 ) ) ) @ SX0 ) )),bind(SV87,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( sK1_R @ ( eps @ ^ [SX2: $i] : ~ ( ! [SX3: $i] : ~ ( ~ ( ! [SX4: $i] : ~ ( sK1_R @ SX2 @ SX3 @ SX4 ) ) ) ) ) @ SX0 @ SX1 ) ) ))]]) ).
thf(461,plain,
! [SV104: $i,SV105: $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 ) )
@ ( sK6_SY81 @ SV105 @ SV104 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV104
@ SV105 )
= $false ) ),
inference(rename,[status(thm)],[95]) ).
thf(464,plain,
! [SV104: $i,SV105: $i,SV87: $i,SV88: $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 ) )
@ ( sK6_SY81 @ SV105 @ SV104 ) )
= ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV87
@ SV88 ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV104
@ SV105 )
= $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 @ SV88 @ SV87 ) )
= $true ) ),
inference(res,[status(thm)],[461,384]) ).
thf(465,plain,
! [SV104: $i,SV105: $i,SV87: $i,SV88: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV104
@ SV105 )
= ( 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 @ SV88 @ SV87 ) ) )
= $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 ) )
@ ( sK6_SY81 @ SV105 @ SV104 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV87
@ SV88 )
= $false ) ),
inference(res,[status(thm)],[461,384]) ).
thf(466,plain,
! [SV104: $i,SV105: $i,SV51: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV104
@ SV105 )
= ( 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 ) )
@ ( sK6_SY81 @ SV105 @ SV104 ) )
= $true )
| ( ( 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)],[461,225]) ).
thf(467,plain,
! [SV104: $i,SV105: $i,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 ) )
@ ( sK6_SY81 @ SV105 @ SV104 ) )
= ( 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 ) )
@ SV104
@ SV105 )
= $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)],[461,225]) ).
thf(468,plain,
! [SV104: $i,SV105: $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 ) )
@ ( sK6_SY81 @ SV105 @ SV104 ) )
= ( 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 ) )
@ SV104
@ SV105 )
= $false ) ),
inference(res,[status(thm)],[461,15]) ).
thf(469,plain,
! [SV104: $i,SV105: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV104
@ SV105 )
= ( 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 ) )
@ ( sK6_SY81 @ SV105 @ SV104 ) )
= $true ) ),
inference(res,[status(thm)],[461,11]) ).
thf(470,plain,
( ( ~ ~ ! [SY647: $i] :
~ ~ ! [SY648: $i] :
~ ~ ! [SY649: $i] :
~ ( sK1_R @ SY647 @ SY648 @ SY649 )
| ~ ! [SY653: $i] :
~ ~ ! [SY654: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY653
@ SY654 ) )
= $true ),
inference(choice,[status(thm)],[461]) ).
thf(471,plain,
( ( ~ ~ ! [SY655: $i] :
~ ~ ! [SY656: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY655
@ SY656 )
| ~ ! [SY665: $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 ) )
@ SY665 ) )
= $true ),
inference(choice,[status(thm)],[461]) ).
thf(472,plain,
( ( ~ ~ ! [SY669: $i] :
~ ~ ! [SY670: $i] :
~ ~ ! [SY671: $i] :
~ ( sK1_R @ SY669 @ SY670 @ SY671 )
| ~ ! [SY675: $i] :
~ ~ ! [SY676: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY675
@ SY676 ) )
= $true ),
inference(choice,[status(thm)],[461]) ).
thf(473,plain,
( ( ~ ~ ! [SY677: $i] :
~ ~ ! [SY678: $i] :
~ ~ ! [SY679: $i] :
~ ( sK1_R @ SY677 @ SY678 @ SY679 )
| ~ ! [SY683: $i] :
~ ~ ! [SY684: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY683
@ SY684 ) )
= $true ),
inference(choice,[status(thm)],[461]) ).
thf(474,plain,
( ( ( ~ ~ ! [SY647: $i] :
~ ~ ! [SY648: $i] :
~ ~ ! [SY649: $i] :
~ ( sK1_R @ SY647 @ SY648 @ SY649 ) )
= $true )
| ( ( ~ ! [SY653: $i] :
~ ~ ! [SY654: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY653
@ SY654 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(475,plain,
( ( ( ~ ~ ! [SY655: $i] :
~ ~ ! [SY656: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY655
@ SY656 ) )
= $true )
| ( ( ~ ! [SY665: $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 ) )
@ SY665 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[471]) ).
thf(476,plain,
( ( ( ~ ~ ! [SY669: $i] :
~ ~ ! [SY670: $i] :
~ ~ ! [SY671: $i] :
~ ( sK1_R @ SY669 @ SY670 @ SY671 ) )
= $true )
| ( ( ~ ! [SY675: $i] :
~ ~ ! [SY676: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY675
@ SY676 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(477,plain,
( ( ( ~ ~ ! [SY677: $i] :
~ ~ ! [SY678: $i] :
~ ~ ! [SY679: $i] :
~ ( sK1_R @ SY677 @ SY678 @ SY679 ) )
= $true )
| ( ( ~ ! [SY683: $i] :
~ ~ ! [SY684: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY683
@ SY684 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(478,plain,
( ( ( ~ ! [SY647: $i] :
~ ~ ! [SY648: $i] :
~ ~ ! [SY649: $i] :
~ ( sK1_R @ SY647 @ SY648 @ SY649 ) )
= $false )
| ( ( ~ ! [SY653: $i] :
~ ~ ! [SY654: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY653
@ SY654 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(479,plain,
( ( ( ~ ! [SY655: $i] :
~ ~ ! [SY656: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY655
@ SY656 ) )
= $false )
| ( ( ~ ! [SY665: $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 ) )
@ SY665 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(480,plain,
( ( ( ~ ! [SY669: $i] :
~ ~ ! [SY670: $i] :
~ ~ ! [SY671: $i] :
~ ( sK1_R @ SY669 @ SY670 @ SY671 ) )
= $false )
| ( ( ~ ! [SY675: $i] :
~ ~ ! [SY676: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY675
@ SY676 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(481,plain,
( ( ( ~ ! [SY677: $i] :
~ ~ ! [SY678: $i] :
~ ~ ! [SY679: $i] :
~ ( sK1_R @ SY677 @ SY678 @ SY679 ) )
= $false )
| ( ( ~ ! [SY683: $i] :
~ ~ ! [SY684: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY683
@ SY684 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(482,plain,
( ( ( ! [SY647: $i] :
~ ~ ! [SY648: $i] :
~ ~ ! [SY649: $i] :
~ ( sK1_R @ SY647 @ SY648 @ SY649 ) )
= $true )
| ( ( ~ ! [SY653: $i] :
~ ~ ! [SY654: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY653
@ SY654 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[478]) ).
thf(483,plain,
( ( ( ! [SY655: $i] :
~ ~ ! [SY656: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY655
@ SY656 ) )
= $true )
| ( ( ~ ! [SY665: $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 ) )
@ SY665 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[479]) ).
thf(484,plain,
( ( ( ! [SY669: $i] :
~ ~ ! [SY670: $i] :
~ ~ ! [SY671: $i] :
~ ( sK1_R @ SY669 @ SY670 @ SY671 ) )
= $true )
| ( ( ~ ! [SY675: $i] :
~ ~ ! [SY676: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY675
@ SY676 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[480]) ).
thf(485,plain,
( ( ( ! [SY677: $i] :
~ ~ ! [SY678: $i] :
~ ~ ! [SY679: $i] :
~ ( sK1_R @ SY677 @ SY678 @ SY679 ) )
= $true )
| ( ( ~ ! [SY683: $i] :
~ ~ ! [SY684: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY683
@ SY684 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(486,plain,
! [SV110: $i] :
( ( ( ~ ~ ! [SY685: $i] :
~ ~ ! [SY686: $i] :
~ ( sK1_R @ SV110 @ SY685 @ SY686 ) )
= $true )
| ( ( ~ ! [SY653: $i] :
~ ~ ! [SY654: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY653
@ SY654 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(487,plain,
! [SV111: $i] :
( ( ( ~ ~ ! [SY687: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV111
@ SY687 ) )
= $true )
| ( ( ~ ! [SY665: $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 ) )
@ SY665 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(488,plain,
! [SV112: $i] :
( ( ( ~ ~ ! [SY691: $i] :
~ ~ ! [SY692: $i] :
~ ( sK1_R @ SV112 @ SY691 @ SY692 ) )
= $true )
| ( ( ~ ! [SY675: $i] :
~ ~ ! [SY676: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY675
@ SY676 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(489,plain,
! [SV113: $i] :
( ( ( ~ ~ ! [SY693: $i] :
~ ~ ! [SY694: $i] :
~ ( sK1_R @ SV113 @ SY693 @ SY694 ) )
= $true )
| ( ( ~ ! [SY683: $i] :
~ ~ ! [SY684: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY683
@ SY684 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(490,plain,
! [SV110: $i] :
( ( ( ~ ! [SY685: $i] :
~ ~ ! [SY686: $i] :
~ ( sK1_R @ SV110 @ SY685 @ SY686 ) )
= $false )
| ( ( ~ ! [SY653: $i] :
~ ~ ! [SY654: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY653
@ SY654 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(491,plain,
! [SV111: $i] :
( ( ( ~ ! [SY687: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV111
@ SY687 ) )
= $false )
| ( ( ~ ! [SY665: $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 ) )
@ SY665 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(492,plain,
! [SV112: $i] :
( ( ( ~ ! [SY691: $i] :
~ ~ ! [SY692: $i] :
~ ( sK1_R @ SV112 @ SY691 @ SY692 ) )
= $false )
| ( ( ~ ! [SY675: $i] :
~ ~ ! [SY676: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY675
@ SY676 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(493,plain,
! [SV113: $i] :
( ( ( ~ ! [SY693: $i] :
~ ~ ! [SY694: $i] :
~ ( sK1_R @ SV113 @ SY693 @ SY694 ) )
= $false )
| ( ( ~ ! [SY683: $i] :
~ ~ ! [SY684: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY683
@ SY684 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(494,plain,
! [SV110: $i] :
( ( ( ! [SY685: $i] :
~ ~ ! [SY686: $i] :
~ ( sK1_R @ SV110 @ SY685 @ SY686 ) )
= $true )
| ( ( ~ ! [SY653: $i] :
~ ~ ! [SY654: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY653
@ SY654 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[490]) ).
thf(495,plain,
! [SV111: $i] :
( ( ( ! [SY687: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV111
@ SY687 ) )
= $true )
| ( ( ~ ! [SY665: $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 ) )
@ SY665 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[491]) ).
thf(496,plain,
! [SV112: $i] :
( ( ( ! [SY691: $i] :
~ ~ ! [SY692: $i] :
~ ( sK1_R @ SV112 @ SY691 @ SY692 ) )
= $true )
| ( ( ~ ! [SY675: $i] :
~ ~ ! [SY676: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY675
@ SY676 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(497,plain,
! [SV113: $i] :
( ( ( ! [SY693: $i] :
~ ~ ! [SY694: $i] :
~ ( sK1_R @ SV113 @ SY693 @ SY694 ) )
= $true )
| ( ( ~ ! [SY683: $i] :
~ ~ ! [SY684: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY683
@ SY684 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(498,plain,
! [SV114: $i,SV110: $i] :
( ( ( ~ ~ ! [SY695: $i] :
~ ( sK1_R @ SV110 @ SV114 @ SY695 ) )
= $true )
| ( ( ~ ! [SY653: $i] :
~ ~ ! [SY654: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY653
@ SY654 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(499,plain,
! [SV115: $i,SV111: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV111
@ SV115 ) )
= $true )
| ( ( ~ ! [SY665: $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 ) )
@ SY665 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(500,plain,
! [SV116: $i,SV112: $i] :
( ( ( ~ ~ ! [SY699: $i] :
~ ( sK1_R @ SV112 @ SV116 @ SY699 ) )
= $true )
| ( ( ~ ! [SY675: $i] :
~ ~ ! [SY676: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY675
@ SY676 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(501,plain,
! [SV117: $i,SV113: $i] :
( ( ( ~ ~ ! [SY700: $i] :
~ ( sK1_R @ SV113 @ SV117 @ SY700 ) )
= $true )
| ( ( ~ ! [SY683: $i] :
~ ~ ! [SY684: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY683
@ SY684 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(502,plain,
! [SV114: $i,SV110: $i] :
( ( ( ~ ! [SY695: $i] :
~ ( sK1_R @ SV110 @ SV114 @ SY695 ) )
= $false )
| ( ( ~ ! [SY653: $i] :
~ ~ ! [SY654: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY653
@ SY654 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(503,plain,
! [SV115: $i,SV111: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV111
@ SV115 )
= $false )
| ( ( ~ ! [SY665: $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 ) )
@ SY665 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(504,plain,
! [SV116: $i,SV112: $i] :
( ( ( ~ ! [SY699: $i] :
~ ( sK1_R @ SV112 @ SV116 @ SY699 ) )
= $false )
| ( ( ~ ! [SY675: $i] :
~ ~ ! [SY676: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY675
@ SY676 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(505,plain,
! [SV117: $i,SV113: $i] :
( ( ( ~ ! [SY700: $i] :
~ ( sK1_R @ SV113 @ SV117 @ SY700 ) )
= $false )
| ( ( ~ ! [SY683: $i] :
~ ~ ! [SY684: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY683
@ SY684 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(506,plain,
! [SV114: $i,SV110: $i] :
( ( ( ! [SY695: $i] :
~ ( sK1_R @ SV110 @ SV114 @ SY695 ) )
= $true )
| ( ( ~ ! [SY653: $i] :
~ ~ ! [SY654: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY653
@ SY654 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[502]) ).
thf(507,plain,
! [SV115: $i,SV111: $i] :
( ( ( ! [SY665: $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 ) )
@ SY665 ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV111
@ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(508,plain,
! [SV116: $i,SV112: $i] :
( ( ( ! [SY699: $i] :
~ ( sK1_R @ SV112 @ SV116 @ SY699 ) )
= $true )
| ( ( ~ ! [SY675: $i] :
~ ~ ! [SY676: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY675
@ SY676 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[504]) ).
thf(509,plain,
! [SV117: $i,SV113: $i] :
( ( ( ! [SY700: $i] :
~ ( sK1_R @ SV113 @ SV117 @ SY700 ) )
= $true )
| ( ( ~ ! [SY683: $i] :
~ ~ ! [SY684: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY683
@ SY684 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[505]) ).
thf(510,plain,
! [SV118: $i,SV114: $i,SV110: $i] :
( ( ( ~ ( sK1_R @ SV110 @ SV114 @ SV118 ) )
= $true )
| ( ( ~ ! [SY653: $i] :
~ ~ ! [SY654: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY653
@ SY654 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(511,plain,
! [SV111: $i,SV115: $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 ) )
@ ( sK47_SY665 @ SV115 @ SV111 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV111
@ SV115 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[507]) ).
thf(512,plain,
! [SV119: $i,SV116: $i,SV112: $i] :
( ( ( ~ ( sK1_R @ SV112 @ SV116 @ SV119 ) )
= $true )
| ( ( ~ ! [SY675: $i] :
~ ~ ! [SY676: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY675
@ SY676 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(513,plain,
! [SV120: $i,SV117: $i,SV113: $i] :
( ( ( ~ ( sK1_R @ SV113 @ SV117 @ SV120 ) )
= $true )
| ( ( ~ ! [SY683: $i] :
~ ~ ! [SY684: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY683
@ SY684 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(514,plain,
! [SV118: $i,SV114: $i,SV110: $i] :
( ( ( sK1_R @ SV110 @ SV114 @ SV118 )
= $false )
| ( ( ~ ! [SY653: $i] :
~ ~ ! [SY654: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY653
@ SY654 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(515,plain,
! [SV111: $i,SV115: $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 ) )
@ ( sK47_SY665 @ SV115 @ SV111 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SV111
@ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(516,plain,
! [SV119: $i,SV116: $i,SV112: $i] :
( ( ( sK1_R @ SV112 @ SV116 @ SV119 )
= $false )
| ( ( ~ ! [SY675: $i] :
~ ~ ! [SY676: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY675
@ SY676 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(517,plain,
! [SV120: $i,SV117: $i,SV113: $i] :
( ( ( sK1_R @ SV113 @ SV117 @ SV120 )
= $false )
| ( ( ~ ! [SY683: $i] :
~ ~ ! [SY684: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY683
@ SY684 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(518,plain,
! [SV118: $i,SV114: $i,SV110: $i] :
( ( ( ! [SY653: $i] :
~ ~ ! [SY654: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY653
@ SY654 ) )
= $false )
| ( ( sK1_R @ SV110 @ SV114 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(519,plain,
! [SV119: $i,SV116: $i,SV112: $i] :
( ( ( ! [SY675: $i] :
~ ~ ! [SY676: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SY675
@ SY676 ) )
= $false )
| ( ( sK1_R @ SV112 @ SV116 @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(520,plain,
! [SV120: $i,SV117: $i,SV113: $i] :
( ( ( ! [SY683: $i] :
~ ~ ! [SY684: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY683
@ SY684 ) )
= $false )
| ( ( sK1_R @ SV113 @ SV117 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(521,plain,
! [SV110: $i,SV114: $i,SV118: $i] :
( ( ( ~ ~ ! [SY709: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK48_SY653 @ SV118 @ SV114 @ SV110 )
@ SY709 ) )
= $false )
| ( ( sK1_R @ SV110 @ SV114 @ SV118 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[518]) ).
thf(522,plain,
! [SV112: $i,SV116: $i,SV119: $i] :
( ( ( ~ ~ ! [SY713: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK49_SY675 @ SV119 @ SV116 @ SV112 )
@ SY713 ) )
= $false )
| ( ( sK1_R @ SV112 @ SV116 @ SV119 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[519]) ).
thf(523,plain,
! [SV113: $i,SV117: $i,SV120: $i] :
( ( ( ~ ~ ! [SY717: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK50_SY683 @ SV120 @ SV117 @ SV113 )
@ SY717 ) )
= $false )
| ( ( sK1_R @ SV113 @ SV117 @ SV120 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[520]) ).
thf(524,plain,
! [SV110: $i,SV114: $i,SV118: $i] :
( ( ( ~ ! [SY709: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK48_SY653 @ SV118 @ SV114 @ SV110 )
@ SY709 ) )
= $true )
| ( ( sK1_R @ SV110 @ SV114 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[521]) ).
thf(525,plain,
! [SV112: $i,SV116: $i,SV119: $i] :
( ( ( ~ ! [SY713: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK49_SY675 @ SV119 @ SV116 @ SV112 )
@ SY713 ) )
= $true )
| ( ( sK1_R @ SV112 @ SV116 @ SV119 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[522]) ).
thf(526,plain,
! [SV113: $i,SV117: $i,SV120: $i] :
( ( ( ~ ! [SY717: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK50_SY683 @ SV120 @ SV117 @ SV113 )
@ SY717 ) )
= $true )
| ( ( sK1_R @ SV113 @ SV117 @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[523]) ).
thf(527,plain,
! [SV110: $i,SV114: $i,SV118: $i] :
( ( ( ! [SY709: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK48_SY653 @ SV118 @ SV114 @ SV110 )
@ SY709 ) )
= $false )
| ( ( sK1_R @ SV110 @ SV114 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(528,plain,
! [SV112: $i,SV116: $i,SV119: $i] :
( ( ( ! [SY713: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK49_SY675 @ SV119 @ SV116 @ SV112 )
@ SY713 ) )
= $false )
| ( ( sK1_R @ SV112 @ SV116 @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(529,plain,
! [SV113: $i,SV117: $i,SV120: $i] :
( ( ( ! [SY717: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK50_SY683 @ SV120 @ SV117 @ SV113 )
@ SY717 ) )
= $false )
| ( ( sK1_R @ SV113 @ SV117 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(530,plain,
! [SV110: $i,SV114: $i,SV118: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK48_SY653 @ SV118 @ SV114 @ SV110 )
@ ( sK51_SY709 @ SV110 @ SV114 @ SV118 ) ) )
= $false )
| ( ( sK1_R @ SV110 @ SV114 @ SV118 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[527]) ).
thf(531,plain,
! [SV112: $i,SV116: $i,SV119: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK49_SY675 @ SV119 @ SV116 @ SV112 )
@ ( sK52_SY713 @ SV112 @ SV116 @ SV119 ) ) )
= $false )
| ( ( sK1_R @ SV112 @ SV116 @ SV119 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[528]) ).
thf(532,plain,
! [SV113: $i,SV117: $i,SV120: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK50_SY683 @ SV120 @ SV117 @ SV113 )
@ ( sK53_SY717 @ SV113 @ SV117 @ SV120 ) ) )
= $false )
| ( ( sK1_R @ SV113 @ SV117 @ SV120 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[529]) ).
thf(533,plain,
! [SV110: $i,SV114: $i,SV118: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK48_SY653 @ SV118 @ SV114 @ SV110 )
@ ( sK51_SY709 @ SV110 @ SV114 @ SV118 ) )
= $true )
| ( ( sK1_R @ SV110 @ SV114 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[530]) ).
thf(534,plain,
! [SV112: $i,SV116: $i,SV119: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ ( sK49_SY675 @ SV119 @ SV116 @ SV112 )
@ ( sK52_SY713 @ SV112 @ SV116 @ SV119 ) )
= $true )
| ( ( sK1_R @ SV112 @ SV116 @ SV119 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[531]) ).
thf(535,plain,
! [SV113: $i,SV117: $i,SV120: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK50_SY683 @ SV120 @ SV117 @ SV113 )
@ ( sK53_SY717 @ SV113 @ SV117 @ SV120 ) )
= $true )
| ( ( sK1_R @ SV113 @ SV117 @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(536,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 ) )
@ ( sK6_SY81 @ sK4_SY5 @ sK3_SY3 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
= sK2_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[469:[bind(SV105,$thf( sK4_SY5 )),bind(SV104,$thf( sK3_SY3 ))]]) ).
thf(537,plain,
! [SV105: $i,SV104: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV104
@ SV105 )
= $false )
| ( ( ( sK6_SY81 @ SV105 @ SV104 )
= ( 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(extuni,[status(esa)],[468]) ).
thf(538,plain,
! [SV105: $i,SV104: $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 ) ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV104
@ SV105 )
= $false ) ),
inference(extuni,[status(esa)],[467:[bind(SV51,$thf( sK6_SY81 @ SV105 @ SV104 ))]]) ).
thf(539,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 ) )
@ ( sK6_SY81
@ ( 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 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[466:[bind(SV105,$thf( 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: $i] : ~ ( sK1_R @ SX3 @ SX4 @ SX5 ) ) ) ) ) @ SX1 @ SX2 ) ) ) @ SX0 ) )),bind(SV104,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( sK1_R @ ( eps @ ^ [SX2: $i] : ~ ( ! [SX3: $i] : ~ ( ~ ( ! [SX4: $i] : ~ ( sK1_R @ SX2 @ SX3 @ SX4 ) ) ) ) ) @ SX0 @ SX1 ) ) ))]]) ).
thf(540,plain,
! [SV88: $i,SV87: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV87
@ SV88 )
= $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 ) )
@ ( sK6_SY81 @ ( sK5_SY25 @ SV88 @ SV87 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[465:[bind(SV105,$thf( sK5_SY25 @ SV88 @ SV87 )),bind(SV104,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( sK1_R @ ( eps @ ^ [SX2: $i] : ~ ( ! [SX3: $i] : ~ ( ~ ( ! [SX4: $i] : ~ ( sK1_R @ SX2 @ SX3 @ SX4 ) ) ) ) ) @ SX0 @ SX1 ) ) ))]]) ).
thf(541,plain,
! [SV104: $i,SV105: $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 @ ( sK6_SY81 @ SV105 @ SV104 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) ) ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV104
@ SV105 )
= $false ) ),
inference(extuni,[status(esa)],[464:[bind(SV88,$thf( sK6_SY81 @ SV105 @ SV104 )),bind(SV87,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( sK1_R @ ( eps @ ^ [SX2: $i] : ~ ( ! [SX3: $i] : ~ ( ~ ( ! [SX4: $i] : ~ ( sK1_R @ SX2 @ SX3 @ SX4 ) ) ) ) ) @ SX0 @ SX1 ) ) ))]]) ).
thf(542,plain,
! [SV121: $i,SV122: $i,SV123: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
@ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) )
= $true )
| ( ( sK1_R @ SV121 @ SV122 @ SV123 )
= $false ) ),
inference(rename,[status(thm)],[117]) ).
thf(545,plain,
! [SV121: $i,SV122: $i,SV123: $i,SV104: $i,SV105: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
@ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) )
= ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV104
@ SV105 ) )
= $false )
| ( ( sK1_R @ SV121 @ SV122 @ SV123 )
= $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 ) )
@ ( sK6_SY81 @ SV105 @ SV104 ) )
= $true ) ),
inference(res,[status(thm)],[542,461]) ).
thf(546,plain,
! [SV121: $i,SV122: $i,SV123: $i,SV104: $i,SV105: $i] :
( ( ( ( sK1_R @ SV121 @ SV122 @ SV123 )
= ( 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 ) )
@ ( sK6_SY81 @ SV105 @ SV104 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
@ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV104
@ SV105 )
= $false ) ),
inference(res,[status(thm)],[542,461]) ).
thf(547,plain,
! [SV121: $i,SV122: $i,SV123: $i,SV87: $i,SV88: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
@ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) )
= ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV87
@ SV88 ) )
= $false )
| ( ( sK1_R @ SV121 @ SV122 @ SV123 )
= $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 @ SV88 @ SV87 ) )
= $true ) ),
inference(res,[status(thm)],[542,384]) ).
thf(548,plain,
! [SV121: $i,SV122: $i,SV123: $i,SV87: $i,SV88: $i] :
( ( ( ( sK1_R @ SV121 @ SV122 @ SV123 )
= ( 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 @ SV88 @ SV87 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
@ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV87
@ SV88 )
= $false ) ),
inference(res,[status(thm)],[542,384]) ).
thf(549,plain,
! [SV121: $i,SV122: $i,SV123: $i,SV51: $i] :
( ( ( ( sK1_R @ SV121 @ SV122 @ SV123 )
= ( 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 ) )
@ ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
@ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) )
= $true )
| ( ( 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)],[542,225]) ).
thf(550,plain,
! [SV121: $i,SV122: $i,SV123: $i,SV51: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
@ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) )
= ( 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 @ SV121 @ SV122 @ SV123 )
= $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)],[542,225]) ).
thf(551,plain,
! [SV121: $i,SV122: $i,SV123: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
@ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) )
= ( 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 @ SV121 @ SV122 @ SV123 )
= $false ) ),
inference(res,[status(thm)],[542,15]) ).
thf(552,plain,
! [SV121: $i,SV122: $i,SV123: $i] :
( ( ( ( sK1_R @ SV121 @ SV122 @ SV123 )
= ( 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 @ SV123 @ SV122 @ SV121 )
@ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) )
= $true ) ),
inference(res,[status(thm)],[542,11]) ).
thf(553,plain,
( ( ~ ~ ! [SY730: $i] :
~ ~ ! [SY731: $i] :
~ ~ ! [SY732: $i] :
~ ( sK1_R @ SY730 @ SY731 @ SY732 )
| ~ ! [SY736: $i] :
~ ~ ! [SY737: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY736
@ SY737 ) )
= $true ),
inference(choice,[status(thm)],[542]) ).
thf(554,plain,
( ( ( ~ ~ ! [SY730: $i] :
~ ~ ! [SY731: $i] :
~ ~ ! [SY732: $i] :
~ ( sK1_R @ SY730 @ SY731 @ SY732 ) )
= $true )
| ( ( ~ ! [SY736: $i] :
~ ~ ! [SY737: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY736
@ SY737 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[553]) ).
thf(555,plain,
( ( ( ~ ! [SY730: $i] :
~ ~ ! [SY731: $i] :
~ ~ ! [SY732: $i] :
~ ( sK1_R @ SY730 @ SY731 @ SY732 ) )
= $false )
| ( ( ~ ! [SY736: $i] :
~ ~ ! [SY737: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY736
@ SY737 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(556,plain,
( ( ( ! [SY730: $i] :
~ ~ ! [SY731: $i] :
~ ~ ! [SY732: $i] :
~ ( sK1_R @ SY730 @ SY731 @ SY732 ) )
= $true )
| ( ( ~ ! [SY736: $i] :
~ ~ ! [SY737: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY736
@ SY737 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(557,plain,
! [SV125: $i] :
( ( ( ~ ~ ! [SY738: $i] :
~ ~ ! [SY739: $i] :
~ ( sK1_R @ SV125 @ SY738 @ SY739 ) )
= $true )
| ( ( ~ ! [SY736: $i] :
~ ~ ! [SY737: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY736
@ SY737 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(558,plain,
! [SV125: $i] :
( ( ( ~ ! [SY738: $i] :
~ ~ ! [SY739: $i] :
~ ( sK1_R @ SV125 @ SY738 @ SY739 ) )
= $false )
| ( ( ~ ! [SY736: $i] :
~ ~ ! [SY737: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY736
@ SY737 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(559,plain,
! [SV125: $i] :
( ( ( ! [SY738: $i] :
~ ~ ! [SY739: $i] :
~ ( sK1_R @ SV125 @ SY738 @ SY739 ) )
= $true )
| ( ( ~ ! [SY736: $i] :
~ ~ ! [SY737: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY736
@ SY737 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[558]) ).
thf(560,plain,
! [SV126: $i,SV125: $i] :
( ( ( ~ ~ ! [SY740: $i] :
~ ( sK1_R @ SV125 @ SV126 @ SY740 ) )
= $true )
| ( ( ~ ! [SY736: $i] :
~ ~ ! [SY737: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY736
@ SY737 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(561,plain,
! [SV126: $i,SV125: $i] :
( ( ( ~ ! [SY740: $i] :
~ ( sK1_R @ SV125 @ SV126 @ SY740 ) )
= $false )
| ( ( ~ ! [SY736: $i] :
~ ~ ! [SY737: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY736
@ SY737 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(562,plain,
! [SV126: $i,SV125: $i] :
( ( ( ! [SY740: $i] :
~ ( sK1_R @ SV125 @ SV126 @ SY740 ) )
= $true )
| ( ( ~ ! [SY736: $i] :
~ ~ ! [SY737: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY736
@ SY737 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(563,plain,
! [SV127: $i,SV126: $i,SV125: $i] :
( ( ( ~ ( sK1_R @ SV125 @ SV126 @ SV127 ) )
= $true )
| ( ( ~ ! [SY736: $i] :
~ ~ ! [SY737: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY736
@ SY737 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(564,plain,
! [SV127: $i,SV126: $i,SV125: $i] :
( ( ( sK1_R @ SV125 @ SV126 @ SV127 )
= $false )
| ( ( ~ ! [SY736: $i] :
~ ~ ! [SY737: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY736
@ SY737 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(565,plain,
! [SV127: $i,SV126: $i,SV125: $i] :
( ( ( ! [SY736: $i] :
~ ~ ! [SY737: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY736
@ SY737 ) )
= $false )
| ( ( sK1_R @ SV125 @ SV126 @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(566,plain,
! [SV125: $i,SV126: $i,SV127: $i] :
( ( ( ~ ~ ! [SY741: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK54_SY736 @ SV127 @ SV126 @ SV125 )
@ SY741 ) )
= $false )
| ( ( sK1_R @ SV125 @ SV126 @ SV127 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[565]) ).
thf(567,plain,
! [SV125: $i,SV126: $i,SV127: $i] :
( ( ( ~ ! [SY741: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK54_SY736 @ SV127 @ SV126 @ SV125 )
@ SY741 ) )
= $true )
| ( ( sK1_R @ SV125 @ SV126 @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(568,plain,
! [SV125: $i,SV126: $i,SV127: $i] :
( ( ( ! [SY741: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK54_SY736 @ SV127 @ SV126 @ SV125 )
@ SY741 ) )
= $false )
| ( ( sK1_R @ SV125 @ SV126 @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(569,plain,
! [SV125: $i,SV126: $i,SV127: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK54_SY736 @ SV127 @ SV126 @ SV125 )
@ ( sK55_SY741 @ SV125 @ SV126 @ SV127 ) ) )
= $false )
| ( ( sK1_R @ SV125 @ SV126 @ SV127 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[568]) ).
thf(570,plain,
! [SV125: $i,SV126: $i,SV127: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK54_SY736 @ SV127 @ SV126 @ SV125 )
@ ( sK55_SY741 @ SV125 @ SV126 @ SV127 ) )
= $true )
| ( ( sK1_R @ SV125 @ SV126 @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[569]) ).
thf(571,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 ) )
= $true ),
inference(extuni,[status(esa)],[552:[bind(SV123,$thf( sK4_SY5 )),bind(SV122,$thf( sK3_SY3 )),bind(SV121,$thf( sK2_SY0 ))]]) ).
thf(572,plain,
! [SV123: $i,SV122: $i,SV121: $i] :
( ( ( sK1_R @ SV121 @ SV122 @ SV123 )
= $false )
| ( ( ( sK11_SY143 @ SV121 @ SV122 @ SV123 )
= ( 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 )
| ( ( ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
= ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[551]) ).
thf(573,plain,
! [SV123: $i,SV122: $i,SV121: $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 ) ) )
= $true )
| ( ( sK1_R @ SV121 @ SV122 @ SV123 )
= $false )
| ( ( ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
= ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[550:[bind(SV51,$thf( sK11_SY143 @ SV121 @ SV122 @ SV123 ))]]) ).
thf(574,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 ) )
@ ( sK7_SY13
@ ( 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 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_SY143
@ ( 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 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[549:[bind(SV123,$thf( 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: $i] : ~ ( sK1_R @ SX3 @ SX4 @ SX5 ) ) ) ) ) @ SX1 @ SX2 ) ) ) @ SX0 ) )),bind(SV122,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( sK1_R @ ( eps @ ^ [SX2: $i] : ~ ( ! [SX3: $i] : ~ ( ~ ( ! [SX4: $i] : ~ ( sK1_R @ SX2 @ SX3 @ SX4 ) ) ) ) ) @ SX0 @ SX1 ) ) )),bind(SV121,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(575,plain,
! [SV88: $i,SV87: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV87
@ SV88 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ ( sK5_SY25 @ SV88 @ SV87 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_SY143
@ ( 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 @ SV88 @ SV87 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[548:[bind(SV123,$thf( sK5_SY25 @ SV88 @ SV87 )),bind(SV122,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( sK1_R @ ( eps @ ^ [SX2: $i] : ~ ( ! [SX3: $i] : ~ ( ~ ( ! [SX4: $i] : ~ ( sK1_R @ SX2 @ SX3 @ SX4 ) ) ) ) ) @ SX0 @ SX1 ) ) )),bind(SV121,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(576,plain,
! [SV123: $i,SV122: $i,SV121: $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 @ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) @ ( sK7_SY13 @ SV123 @ SV122 @ SV121 ) ) )
= $true )
| ( ( sK1_R @ SV121 @ SV122 @ SV123 )
= $false ) ),
inference(extuni,[status(esa)],[547:[bind(SV88,$thf( sK11_SY143 @ SV121 @ SV122 @ SV123 )),bind(SV87,$thf( sK7_SY13 @ SV123 @ SV122 @ SV121 ))]]) ).
thf(577,plain,
! [SV105: $i,SV104: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV104
@ SV105 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ ( sK6_SY81 @ SV105 @ SV104 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_SY143
@ ( 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 ) )
@ ( sK6_SY81 @ SV105 @ SV104 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[546:[bind(SV123,$thf( sK6_SY81 @ SV105 @ SV104 )),bind(SV122,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( sK1_R @ ( eps @ ^ [SX2: $i] : ~ ( ! [SX3: $i] : ~ ( ~ ( ! [SX4: $i] : ~ ( sK1_R @ SX2 @ SX3 @ SX4 ) ) ) ) ) @ SX0 @ SX1 ) ) )),bind(SV121,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(578,plain,
! [SV123: $i,SV122: $i,SV121: $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 ) )
@ ( sK6_SY81 @ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) @ ( sK7_SY13 @ SV123 @ SV122 @ SV121 ) ) )
= $true )
| ( ( sK1_R @ SV121 @ SV122 @ SV123 )
= $false ) ),
inference(extuni,[status(esa)],[545:[bind(SV105,$thf( sK11_SY143 @ SV121 @ SV122 @ SV123 )),bind(SV104,$thf( sK7_SY13 @ SV123 @ SV122 @ SV121 ))]]) ).
thf(579,plain,
! [SV128: $i,SV129: $i,SV130: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
@ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) )
= $true )
| ( ( sK1_R @ SV128 @ SV129 @ SV130 )
= $false ) ),
inference(rename,[status(thm)],[118]) ).
thf(582,plain,
! [SV128: $i,SV129: $i,SV130: $i,SV121: $i,SV122: $i,SV123: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
@ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) )
= ( sK1_R @ SV121 @ SV122 @ SV123 ) )
= $false )
| ( ( sK1_R @ SV128 @ SV129 @ SV130 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
@ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) )
= $true ) ),
inference(res,[status(thm)],[579,542]) ).
thf(583,plain,
! [SV128: $i,SV129: $i,SV130: $i,SV121: $i,SV122: $i,SV123: $i] :
( ( ( ( sK1_R @ SV128 @ SV129 @ SV130 )
= ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
@ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
@ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) )
= $true )
| ( ( sK1_R @ SV121 @ SV122 @ SV123 )
= $false ) ),
inference(res,[status(thm)],[579,542]) ).
thf(584,plain,
! [SV128: $i,SV129: $i,SV130: $i,SV104: $i,SV105: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
@ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) )
= ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV104
@ SV105 ) )
= $false )
| ( ( sK1_R @ SV128 @ SV129 @ SV130 )
= $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 ) )
@ ( sK6_SY81 @ SV105 @ SV104 ) )
= $true ) ),
inference(res,[status(thm)],[579,461]) ).
thf(585,plain,
! [SV128: $i,SV129: $i,SV130: $i,SV104: $i,SV105: $i] :
( ( ( ( sK1_R @ SV128 @ SV129 @ SV130 )
= ( 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 ) )
@ ( sK6_SY81 @ SV105 @ SV104 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
@ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV104
@ SV105 )
= $false ) ),
inference(res,[status(thm)],[579,461]) ).
thf(586,plain,
! [SV128: $i,SV129: $i,SV130: $i,SV87: $i,SV88: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
@ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) )
= ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV87
@ SV88 ) )
= $false )
| ( ( sK1_R @ SV128 @ SV129 @ SV130 )
= $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 @ SV88 @ SV87 ) )
= $true ) ),
inference(res,[status(thm)],[579,384]) ).
thf(587,plain,
! [SV128: $i,SV129: $i,SV130: $i,SV87: $i,SV88: $i] :
( ( ( ( sK1_R @ SV128 @ SV129 @ SV130 )
= ( 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 @ SV88 @ SV87 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
@ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV87
@ SV88 )
= $false ) ),
inference(res,[status(thm)],[579,384]) ).
thf(588,plain,
! [SV128: $i,SV129: $i,SV130: $i,SV51: $i] :
( ( ( ( sK1_R @ SV128 @ SV129 @ SV130 )
= ( 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 ) )
@ ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
@ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) )
= $true )
| ( ( 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)],[579,225]) ).
thf(589,plain,
! [SV128: $i,SV129: $i,SV130: $i,SV51: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
@ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) )
= ( 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 @ SV128 @ SV129 @ SV130 )
= $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)],[579,225]) ).
thf(590,plain,
! [SV128: $i,SV129: $i,SV130: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
@ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) )
= ( 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 @ SV128 @ SV129 @ SV130 )
= $false ) ),
inference(res,[status(thm)],[579,15]) ).
thf(591,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 ) )
@ ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
@ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) )
= $true ) ),
inference(res,[status(thm)],[579,11]) ).
thf(592,plain,
( ( ~ ~ ! [SY748: $i] :
~ ~ ! [SY749: $i] :
~ ~ ! [SY750: $i] :
~ ( sK1_R @ SY748 @ SY749 @ SY750 )
| ~ ! [SY754: $i] :
~ ~ ! [SY755: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY754
@ SY755 ) )
= $true ),
inference(choice,[status(thm)],[579]) ).
thf(593,plain,
( ( ( ~ ~ ! [SY748: $i] :
~ ~ ! [SY749: $i] :
~ ~ ! [SY750: $i] :
~ ( sK1_R @ SY748 @ SY749 @ SY750 ) )
= $true )
| ( ( ~ ! [SY754: $i] :
~ ~ ! [SY755: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY754
@ SY755 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[592]) ).
thf(594,plain,
( ( ( ~ ! [SY748: $i] :
~ ~ ! [SY749: $i] :
~ ~ ! [SY750: $i] :
~ ( sK1_R @ SY748 @ SY749 @ SY750 ) )
= $false )
| ( ( ~ ! [SY754: $i] :
~ ~ ! [SY755: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY754
@ SY755 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(595,plain,
( ( ( ! [SY748: $i] :
~ ~ ! [SY749: $i] :
~ ~ ! [SY750: $i] :
~ ( sK1_R @ SY748 @ SY749 @ SY750 ) )
= $true )
| ( ( ~ ! [SY754: $i] :
~ ~ ! [SY755: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY754
@ SY755 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[594]) ).
thf(596,plain,
! [SV132: $i] :
( ( ( ~ ~ ! [SY756: $i] :
~ ~ ! [SY757: $i] :
~ ( sK1_R @ SV132 @ SY756 @ SY757 ) )
= $true )
| ( ( ~ ! [SY754: $i] :
~ ~ ! [SY755: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY754
@ SY755 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(597,plain,
! [SV132: $i] :
( ( ( ~ ! [SY756: $i] :
~ ~ ! [SY757: $i] :
~ ( sK1_R @ SV132 @ SY756 @ SY757 ) )
= $false )
| ( ( ~ ! [SY754: $i] :
~ ~ ! [SY755: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY754
@ SY755 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(598,plain,
! [SV132: $i] :
( ( ( ! [SY756: $i] :
~ ~ ! [SY757: $i] :
~ ( sK1_R @ SV132 @ SY756 @ SY757 ) )
= $true )
| ( ( ~ ! [SY754: $i] :
~ ~ ! [SY755: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY754
@ SY755 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[597]) ).
thf(599,plain,
! [SV133: $i,SV132: $i] :
( ( ( ~ ~ ! [SY758: $i] :
~ ( sK1_R @ SV132 @ SV133 @ SY758 ) )
= $true )
| ( ( ~ ! [SY754: $i] :
~ ~ ! [SY755: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY754
@ SY755 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(600,plain,
! [SV133: $i,SV132: $i] :
( ( ( ~ ! [SY758: $i] :
~ ( sK1_R @ SV132 @ SV133 @ SY758 ) )
= $false )
| ( ( ~ ! [SY754: $i] :
~ ~ ! [SY755: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY754
@ SY755 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(601,plain,
! [SV133: $i,SV132: $i] :
( ( ( ! [SY758: $i] :
~ ( sK1_R @ SV132 @ SV133 @ SY758 ) )
= $true )
| ( ( ~ ! [SY754: $i] :
~ ~ ! [SY755: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY754
@ SY755 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(602,plain,
! [SV134: $i,SV133: $i,SV132: $i] :
( ( ( ~ ( sK1_R @ SV132 @ SV133 @ SV134 ) )
= $true )
| ( ( ~ ! [SY754: $i] :
~ ~ ! [SY755: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY754
@ SY755 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(603,plain,
! [SV134: $i,SV133: $i,SV132: $i] :
( ( ( sK1_R @ SV132 @ SV133 @ SV134 )
= $false )
| ( ( ~ ! [SY754: $i] :
~ ~ ! [SY755: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY754
@ SY755 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(604,plain,
! [SV134: $i,SV133: $i,SV132: $i] :
( ( ( ! [SY754: $i] :
~ ~ ! [SY755: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY754
@ SY755 ) )
= $false )
| ( ( sK1_R @ SV132 @ SV133 @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(605,plain,
! [SV132: $i,SV133: $i,SV134: $i] :
( ( ( ~ ~ ! [SY759: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK56_SY754 @ SV134 @ SV133 @ SV132 )
@ SY759 ) )
= $false )
| ( ( sK1_R @ SV132 @ SV133 @ SV134 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[604]) ).
thf(606,plain,
! [SV132: $i,SV133: $i,SV134: $i] :
( ( ( ~ ! [SY759: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK56_SY754 @ SV134 @ SV133 @ SV132 )
@ SY759 ) )
= $true )
| ( ( sK1_R @ SV132 @ SV133 @ SV134 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[605]) ).
thf(607,plain,
! [SV132: $i,SV133: $i,SV134: $i] :
( ( ( ! [SY759: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK56_SY754 @ SV134 @ SV133 @ SV132 )
@ SY759 ) )
= $false )
| ( ( sK1_R @ SV132 @ SV133 @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(608,plain,
! [SV132: $i,SV133: $i,SV134: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK56_SY754 @ SV134 @ SV133 @ SV132 )
@ ( sK57_SY759 @ SV132 @ SV133 @ SV134 ) ) )
= $false )
| ( ( sK1_R @ SV132 @ SV133 @ SV134 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[607]) ).
thf(609,plain,
! [SV132: $i,SV133: $i,SV134: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK56_SY754 @ SV134 @ SV133 @ SV132 )
@ ( sK57_SY759 @ SV132 @ SV133 @ SV134 ) )
= $true )
| ( ( sK1_R @ SV132 @ SV133 @ SV134 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[608]) ).
thf(610,plain,
( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ sK4_SY5 @ sK3_SY3 @ sK2_SY0 )
@ ( sK12_SY147 @ sK2_SY0 @ sK3_SY3 @ sK4_SY5 ) )
= $true ),
inference(extuni,[status(esa)],[591:[bind(SV130,$thf( sK4_SY5 )),bind(SV129,$thf( sK3_SY3 )),bind(SV128,$thf( sK2_SY0 ))]]) ).
thf(611,plain,
! [SV130: $i,SV129: $i,SV128: $i] :
( ( ( sK1_R @ SV128 @ SV129 @ SV130 )
= $false )
| ( ( ( sK12_SY147 @ SV128 @ SV129 @ SV130 )
= ( 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 )
| ( ( ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
= ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[590]) ).
thf(612,plain,
! [SV130: $i,SV129: $i,SV128: $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 ) ) )
= $true )
| ( ( sK1_R @ SV128 @ SV129 @ SV130 )
= $false )
| ( ( ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
= ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[589:[bind(SV51,$thf( sK12_SY147 @ SV128 @ SV129 @ SV130 ))]]) ).
thf(613,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 ) )
@ ( sK8_SY35
@ ( 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 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK12_SY147
@ ( 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 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[588:[bind(SV130,$thf( 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: $i] : ~ ( sK1_R @ SX3 @ SX4 @ SX5 ) ) ) ) ) @ SX1 @ SX2 ) ) ) @ SX0 ) )),bind(SV129,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( sK1_R @ ( eps @ ^ [SX2: $i] : ~ ( ! [SX3: $i] : ~ ( ~ ( ! [SX4: $i] : ~ ( sK1_R @ SX2 @ SX3 @ SX4 ) ) ) ) ) @ SX0 @ SX1 ) ) )),bind(SV128,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(614,plain,
! [SV88: $i,SV87: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV87
@ SV88 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ ( sK5_SY25 @ SV88 @ SV87 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK12_SY147
@ ( 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 @ SV88 @ SV87 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[587:[bind(SV130,$thf( sK5_SY25 @ SV88 @ SV87 )),bind(SV129,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( sK1_R @ ( eps @ ^ [SX2: $i] : ~ ( ! [SX3: $i] : ~ ( ~ ( ! [SX4: $i] : ~ ( sK1_R @ SX2 @ SX3 @ SX4 ) ) ) ) ) @ SX0 @ SX1 ) ) )),bind(SV128,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(615,plain,
! [SV130: $i,SV129: $i,SV128: $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 @ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) @ ( sK8_SY35 @ SV130 @ SV129 @ SV128 ) ) )
= $true )
| ( ( sK1_R @ SV128 @ SV129 @ SV130 )
= $false ) ),
inference(extuni,[status(esa)],[586:[bind(SV88,$thf( sK12_SY147 @ SV128 @ SV129 @ SV130 )),bind(SV87,$thf( sK8_SY35 @ SV130 @ SV129 @ SV128 ))]]) ).
thf(616,plain,
! [SV105: $i,SV104: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV104
@ SV105 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ ( sK6_SY81 @ SV105 @ SV104 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK12_SY147
@ ( 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 ) )
@ ( sK6_SY81 @ SV105 @ SV104 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[585:[bind(SV130,$thf( sK6_SY81 @ SV105 @ SV104 )),bind(SV129,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( sK1_R @ ( eps @ ^ [SX2: $i] : ~ ( ! [SX3: $i] : ~ ( ~ ( ! [SX4: $i] : ~ ( sK1_R @ SX2 @ SX3 @ SX4 ) ) ) ) ) @ SX0 @ SX1 ) ) )),bind(SV128,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(617,plain,
! [SV130: $i,SV129: $i,SV128: $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 ) )
@ ( sK6_SY81 @ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) @ ( sK8_SY35 @ SV130 @ SV129 @ SV128 ) ) )
= $true )
| ( ( sK1_R @ SV128 @ SV129 @ SV130 )
= $false ) ),
inference(extuni,[status(esa)],[584:[bind(SV105,$thf( sK12_SY147 @ SV128 @ SV129 @ SV130 )),bind(SV104,$thf( sK8_SY35 @ SV130 @ SV129 @ SV128 ))]]) ).
thf(618,plain,
! [SV123: $i,SV122: $i,SV121: $i] :
( ( ( sK1_R @ SV121 @ SV122 @ SV123 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) @ ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK12_SY147
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
@ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[583:[bind(SV130,$thf( sK11_SY143 @ SV121 @ SV122 @ SV123 )),bind(SV129,$thf( sK7_SY13 @ SV123 @ SV122 @ SV121 )),bind(SV128,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(619,plain,
! [SV130: $i,SV129: $i,SV128: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) @ ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_SY143
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
@ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) ) )
= $true )
| ( ( sK1_R @ SV128 @ SV129 @ SV130 )
= $false ) ),
inference(extuni,[status(esa)],[582:[bind(SV123,$thf( sK12_SY147 @ SV128 @ SV129 @ SV130 )),bind(SV122,$thf( sK8_SY35 @ SV130 @ SV129 @ SV128 )),bind(SV121,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(620,plain,
! [SV135: $i,SV136: $i,SV137: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
@ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) )
= $true )
| ( ( sK1_R @ SV135 @ SV136 @ SV137 )
= $false ) ),
inference(rename,[status(thm)],[119]) ).
thf(623,plain,
! [SV135: $i,SV136: $i,SV137: $i,SV128: $i,SV129: $i,SV130: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
@ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) )
= ( sK1_R @ SV128 @ SV129 @ SV130 ) )
= $false )
| ( ( sK1_R @ SV135 @ SV136 @ SV137 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
@ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) )
= $true ) ),
inference(res,[status(thm)],[620,579]) ).
thf(624,plain,
! [SV135: $i,SV136: $i,SV137: $i,SV128: $i,SV129: $i,SV130: $i] :
( ( ( ( sK1_R @ SV135 @ SV136 @ SV137 )
= ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
@ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
@ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) )
= $true )
| ( ( sK1_R @ SV128 @ SV129 @ SV130 )
= $false ) ),
inference(res,[status(thm)],[620,579]) ).
thf(625,plain,
! [SV135: $i,SV136: $i,SV137: $i,SV121: $i,SV122: $i,SV123: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
@ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) )
= ( sK1_R @ SV121 @ SV122 @ SV123 ) )
= $false )
| ( ( sK1_R @ SV135 @ SV136 @ SV137 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
@ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) )
= $true ) ),
inference(res,[status(thm)],[620,542]) ).
thf(626,plain,
! [SV135: $i,SV136: $i,SV137: $i,SV121: $i,SV122: $i,SV123: $i] :
( ( ( ( sK1_R @ SV135 @ SV136 @ SV137 )
= ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
@ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
@ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) )
= $true )
| ( ( sK1_R @ SV121 @ SV122 @ SV123 )
= $false ) ),
inference(res,[status(thm)],[620,542]) ).
thf(627,plain,
! [SV135: $i,SV136: $i,SV137: $i,SV104: $i,SV105: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
@ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) )
= ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV104
@ SV105 ) )
= $false )
| ( ( sK1_R @ SV135 @ SV136 @ SV137 )
= $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 ) )
@ ( sK6_SY81 @ SV105 @ SV104 ) )
= $true ) ),
inference(res,[status(thm)],[620,461]) ).
thf(628,plain,
! [SV135: $i,SV136: $i,SV137: $i,SV104: $i,SV105: $i] :
( ( ( ( sK1_R @ SV135 @ SV136 @ SV137 )
= ( 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 ) )
@ ( sK6_SY81 @ SV105 @ SV104 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
@ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV104
@ SV105 )
= $false ) ),
inference(res,[status(thm)],[620,461]) ).
thf(629,plain,
! [SV135: $i,SV136: $i,SV137: $i,SV87: $i,SV88: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
@ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) )
= ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV87
@ SV88 ) )
= $false )
| ( ( sK1_R @ SV135 @ SV136 @ SV137 )
= $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 @ SV88 @ SV87 ) )
= $true ) ),
inference(res,[status(thm)],[620,384]) ).
thf(630,plain,
! [SV135: $i,SV136: $i,SV137: $i,SV87: $i,SV88: $i] :
( ( ( ( sK1_R @ SV135 @ SV136 @ SV137 )
= ( 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 @ SV88 @ SV87 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
@ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV87
@ SV88 )
= $false ) ),
inference(res,[status(thm)],[620,384]) ).
thf(631,plain,
! [SV135: $i,SV136: $i,SV137: $i,SV51: $i] :
( ( ( ( sK1_R @ SV135 @ SV136 @ SV137 )
= ( 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 ) )
@ ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
@ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) )
= $true )
| ( ( 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)],[620,225]) ).
thf(632,plain,
! [SV135: $i,SV136: $i,SV137: $i,SV51: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
@ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) )
= ( 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 @ SV135 @ SV136 @ SV137 )
= $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)],[620,225]) ).
thf(633,plain,
! [SV135: $i,SV136: $i,SV137: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
@ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) )
= ( 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 @ SV135 @ SV136 @ SV137 )
= $false ) ),
inference(res,[status(thm)],[620,15]) ).
thf(634,plain,
! [SV135: $i,SV136: $i,SV137: $i] :
( ( ( ( sK1_R @ SV135 @ SV136 @ SV137 )
= ( sK1_R @ sK2_SY0 @ sK3_SY3 @ sK4_SY5 ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
@ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) )
= $true ) ),
inference(res,[status(thm)],[620,11]) ).
thf(635,plain,
( ( ~ ~ ! [SY766: $i] :
~ ~ ! [SY767: $i] :
~ ~ ! [SY768: $i] :
~ ( sK1_R @ SY766 @ SY767 @ SY768 )
| ~ ! [SY772: $i] :
~ ~ ! [SY773: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY772
@ SY773 ) )
= $true ),
inference(choice,[status(thm)],[620]) ).
thf(636,plain,
( ( ( ~ ~ ! [SY766: $i] :
~ ~ ! [SY767: $i] :
~ ~ ! [SY768: $i] :
~ ( sK1_R @ SY766 @ SY767 @ SY768 ) )
= $true )
| ( ( ~ ! [SY772: $i] :
~ ~ ! [SY773: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY772
@ SY773 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[635]) ).
thf(637,plain,
( ( ( ~ ! [SY766: $i] :
~ ~ ! [SY767: $i] :
~ ~ ! [SY768: $i] :
~ ( sK1_R @ SY766 @ SY767 @ SY768 ) )
= $false )
| ( ( ~ ! [SY772: $i] :
~ ~ ! [SY773: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY772
@ SY773 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(638,plain,
( ( ( ! [SY766: $i] :
~ ~ ! [SY767: $i] :
~ ~ ! [SY768: $i] :
~ ( sK1_R @ SY766 @ SY767 @ SY768 ) )
= $true )
| ( ( ~ ! [SY772: $i] :
~ ~ ! [SY773: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY772
@ SY773 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[637]) ).
thf(639,plain,
! [SV139: $i] :
( ( ( ~ ~ ! [SY774: $i] :
~ ~ ! [SY775: $i] :
~ ( sK1_R @ SV139 @ SY774 @ SY775 ) )
= $true )
| ( ( ~ ! [SY772: $i] :
~ ~ ! [SY773: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY772
@ SY773 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(640,plain,
! [SV139: $i] :
( ( ( ~ ! [SY774: $i] :
~ ~ ! [SY775: $i] :
~ ( sK1_R @ SV139 @ SY774 @ SY775 ) )
= $false )
| ( ( ~ ! [SY772: $i] :
~ ~ ! [SY773: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY772
@ SY773 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(641,plain,
! [SV139: $i] :
( ( ( ! [SY774: $i] :
~ ~ ! [SY775: $i] :
~ ( sK1_R @ SV139 @ SY774 @ SY775 ) )
= $true )
| ( ( ~ ! [SY772: $i] :
~ ~ ! [SY773: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY772
@ SY773 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[640]) ).
thf(642,plain,
! [SV140: $i,SV139: $i] :
( ( ( ~ ~ ! [SY776: $i] :
~ ( sK1_R @ SV139 @ SV140 @ SY776 ) )
= $true )
| ( ( ~ ! [SY772: $i] :
~ ~ ! [SY773: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY772
@ SY773 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(643,plain,
! [SV140: $i,SV139: $i] :
( ( ( ~ ! [SY776: $i] :
~ ( sK1_R @ SV139 @ SV140 @ SY776 ) )
= $false )
| ( ( ~ ! [SY772: $i] :
~ ~ ! [SY773: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY772
@ SY773 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(644,plain,
! [SV140: $i,SV139: $i] :
( ( ( ! [SY776: $i] :
~ ( sK1_R @ SV139 @ SV140 @ SY776 ) )
= $true )
| ( ( ~ ! [SY772: $i] :
~ ~ ! [SY773: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY772
@ SY773 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[643]) ).
thf(645,plain,
! [SV141: $i,SV140: $i,SV139: $i] :
( ( ( ~ ( sK1_R @ SV139 @ SV140 @ SV141 ) )
= $true )
| ( ( ~ ! [SY772: $i] :
~ ~ ! [SY773: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY772
@ SY773 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(646,plain,
! [SV141: $i,SV140: $i,SV139: $i] :
( ( ( sK1_R @ SV139 @ SV140 @ SV141 )
= $false )
| ( ( ~ ! [SY772: $i] :
~ ~ ! [SY773: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY772
@ SY773 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(647,plain,
! [SV141: $i,SV140: $i,SV139: $i] :
( ( ( ! [SY772: $i] :
~ ~ ! [SY773: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY772
@ SY773 ) )
= $false )
| ( ( sK1_R @ SV139 @ SV140 @ SV141 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(648,plain,
! [SV139: $i,SV140: $i,SV141: $i] :
( ( ( ~ ~ ! [SY777: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK58_SY772 @ SV141 @ SV140 @ SV139 )
@ SY777 ) )
= $false )
| ( ( sK1_R @ SV139 @ SV140 @ SV141 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[647]) ).
thf(649,plain,
! [SV139: $i,SV140: $i,SV141: $i] :
( ( ( ~ ! [SY777: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK58_SY772 @ SV141 @ SV140 @ SV139 )
@ SY777 ) )
= $true )
| ( ( sK1_R @ SV139 @ SV140 @ SV141 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(650,plain,
! [SV139: $i,SV140: $i,SV141: $i] :
( ( ( ! [SY777: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK58_SY772 @ SV141 @ SV140 @ SV139 )
@ SY777 ) )
= $false )
| ( ( sK1_R @ SV139 @ SV140 @ SV141 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(651,plain,
! [SV139: $i,SV140: $i,SV141: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK58_SY772 @ SV141 @ SV140 @ SV139 )
@ ( sK59_SY777 @ SV139 @ SV140 @ SV141 ) ) )
= $false )
| ( ( sK1_R @ SV139 @ SV140 @ SV141 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[650]) ).
thf(652,plain,
! [SV139: $i,SV140: $i,SV141: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK58_SY772 @ SV141 @ SV140 @ SV139 )
@ ( sK59_SY777 @ SV139 @ SV140 @ SV141 ) )
= $true )
| ( ( sK1_R @ SV139 @ SV140 @ SV141 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[651]) ).
thf(653,plain,
( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ sK4_SY5 @ sK3_SY3 @ sK2_SY0 )
@ ( sK13_SY151 @ sK2_SY0 @ sK3_SY3 @ sK4_SY5 ) )
= $true ),
inference(extuni,[status(esa)],[634:[bind(SV137,$thf( sK4_SY5 )),bind(SV136,$thf( sK3_SY3 )),bind(SV135,$thf( sK2_SY0 ))]]) ).
thf(654,plain,
! [SV137: $i,SV136: $i,SV135: $i] :
( ( ( sK1_R @ SV135 @ SV136 @ SV137 )
= $false )
| ( ( ( sK13_SY151 @ SV135 @ SV136 @ SV137 )
= ( 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 )
| ( ( ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
= ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[633]) ).
thf(655,plain,
! [SV137: $i,SV136: $i,SV135: $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 ) ) )
= $true )
| ( ( sK1_R @ SV135 @ SV136 @ SV137 )
= $false )
| ( ( ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
= ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[632:[bind(SV51,$thf( sK13_SY151 @ SV135 @ SV136 @ SV137 ))]]) ).
thf(656,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 ) )
@ ( sK9_SY69
@ ( 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 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK13_SY151
@ ( 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 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[631:[bind(SV137,$thf( 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: $i] : ~ ( sK1_R @ SX3 @ SX4 @ SX5 ) ) ) ) ) @ SX1 @ SX2 ) ) ) @ SX0 ) )),bind(SV136,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( sK1_R @ ( eps @ ^ [SX2: $i] : ~ ( ! [SX3: $i] : ~ ( ~ ( ! [SX4: $i] : ~ ( sK1_R @ SX2 @ SX3 @ SX4 ) ) ) ) ) @ SX0 @ SX1 ) ) )),bind(SV135,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(657,plain,
! [SV88: $i,SV87: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV87
@ SV88 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ ( sK5_SY25 @ SV88 @ SV87 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK13_SY151
@ ( 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 @ SV88 @ SV87 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[630:[bind(SV137,$thf( sK5_SY25 @ SV88 @ SV87 )),bind(SV136,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( sK1_R @ ( eps @ ^ [SX2: $i] : ~ ( ! [SX3: $i] : ~ ( ~ ( ! [SX4: $i] : ~ ( sK1_R @ SX2 @ SX3 @ SX4 ) ) ) ) ) @ SX0 @ SX1 ) ) )),bind(SV135,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(658,plain,
! [SV137: $i,SV136: $i,SV135: $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 @ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) @ ( sK9_SY69 @ SV137 @ SV136 @ SV135 ) ) )
= $true )
| ( ( sK1_R @ SV135 @ SV136 @ SV137 )
= $false ) ),
inference(extuni,[status(esa)],[629:[bind(SV88,$thf( sK13_SY151 @ SV135 @ SV136 @ SV137 )),bind(SV87,$thf( sK9_SY69 @ SV137 @ SV136 @ SV135 ))]]) ).
thf(659,plain,
! [SV105: $i,SV104: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV104
@ SV105 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ ( sK6_SY81 @ SV105 @ SV104 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK13_SY151
@ ( 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 ) )
@ ( sK6_SY81 @ SV105 @ SV104 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[628:[bind(SV137,$thf( sK6_SY81 @ SV105 @ SV104 )),bind(SV136,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( sK1_R @ ( eps @ ^ [SX2: $i] : ~ ( ! [SX3: $i] : ~ ( ~ ( ! [SX4: $i] : ~ ( sK1_R @ SX2 @ SX3 @ SX4 ) ) ) ) ) @ SX0 @ SX1 ) ) )),bind(SV135,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(660,plain,
! [SV137: $i,SV136: $i,SV135: $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 ) )
@ ( sK6_SY81 @ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) @ ( sK9_SY69 @ SV137 @ SV136 @ SV135 ) ) )
= $true )
| ( ( sK1_R @ SV135 @ SV136 @ SV137 )
= $false ) ),
inference(extuni,[status(esa)],[627:[bind(SV105,$thf( sK13_SY151 @ SV135 @ SV136 @ SV137 )),bind(SV104,$thf( sK9_SY69 @ SV137 @ SV136 @ SV135 ))]]) ).
thf(661,plain,
! [SV123: $i,SV122: $i,SV121: $i] :
( ( ( sK1_R @ SV121 @ SV122 @ SV123 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) @ ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK13_SY151
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
@ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[626:[bind(SV137,$thf( sK11_SY143 @ SV121 @ SV122 @ SV123 )),bind(SV136,$thf( sK7_SY13 @ SV123 @ SV122 @ SV121 )),bind(SV135,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(662,plain,
! [SV137: $i,SV136: $i,SV135: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) @ ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_SY143
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
@ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) ) )
= $true )
| ( ( sK1_R @ SV135 @ SV136 @ SV137 )
= $false ) ),
inference(extuni,[status(esa)],[625:[bind(SV123,$thf( sK13_SY151 @ SV135 @ SV136 @ SV137 )),bind(SV122,$thf( sK9_SY69 @ SV137 @ SV136 @ SV135 )),bind(SV121,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(663,plain,
! [SV130: $i,SV129: $i,SV128: $i] :
( ( ( sK1_R @ SV128 @ SV129 @ SV130 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) @ ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK13_SY151
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
@ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[624:[bind(SV137,$thf( sK12_SY147 @ SV128 @ SV129 @ SV130 )),bind(SV136,$thf( sK8_SY35 @ SV130 @ SV129 @ SV128 )),bind(SV135,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(664,plain,
! [SV137: $i,SV136: $i,SV135: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) @ ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK12_SY147
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
@ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) ) )
= $true )
| ( ( sK1_R @ SV135 @ SV136 @ SV137 )
= $false ) ),
inference(extuni,[status(esa)],[623:[bind(SV130,$thf( sK13_SY151 @ SV135 @ SV136 @ SV137 )),bind(SV129,$thf( sK9_SY69 @ SV137 @ SV136 @ SV135 )),bind(SV128,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(665,plain,
! [SV142: $i,SV143: $i,SV144: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
@ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) )
= $true )
| ( ( sK1_R @ SV142 @ SV143 @ SV144 )
= $false ) ),
inference(rename,[status(thm)],[120]) ).
thf(668,plain,
! [SV142: $i,SV143: $i,SV144: $i,SV135: $i,SV136: $i,SV137: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
@ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) )
= ( sK1_R @ SV135 @ SV136 @ SV137 ) )
= $false )
| ( ( sK1_R @ SV142 @ SV143 @ SV144 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
@ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) )
= $true ) ),
inference(res,[status(thm)],[665,620]) ).
thf(669,plain,
! [SV142: $i,SV143: $i,SV144: $i,SV135: $i,SV136: $i,SV137: $i] :
( ( ( ( sK1_R @ SV142 @ SV143 @ SV144 )
= ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
@ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
@ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) )
= $true )
| ( ( sK1_R @ SV135 @ SV136 @ SV137 )
= $false ) ),
inference(res,[status(thm)],[665,620]) ).
thf(670,plain,
! [SV142: $i,SV143: $i,SV144: $i,SV128: $i,SV129: $i,SV130: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
@ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) )
= ( sK1_R @ SV128 @ SV129 @ SV130 ) )
= $false )
| ( ( sK1_R @ SV142 @ SV143 @ SV144 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
@ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) )
= $true ) ),
inference(res,[status(thm)],[665,579]) ).
thf(671,plain,
! [SV142: $i,SV143: $i,SV144: $i,SV128: $i,SV129: $i,SV130: $i] :
( ( ( ( sK1_R @ SV142 @ SV143 @ SV144 )
= ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
@ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
@ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) )
= $true )
| ( ( sK1_R @ SV128 @ SV129 @ SV130 )
= $false ) ),
inference(res,[status(thm)],[665,579]) ).
thf(672,plain,
! [SV142: $i,SV143: $i,SV144: $i,SV121: $i,SV122: $i,SV123: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
@ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) )
= ( sK1_R @ SV121 @ SV122 @ SV123 ) )
= $false )
| ( ( sK1_R @ SV142 @ SV143 @ SV144 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
@ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) )
= $true ) ),
inference(res,[status(thm)],[665,542]) ).
thf(673,plain,
! [SV142: $i,SV143: $i,SV144: $i,SV121: $i,SV122: $i,SV123: $i] :
( ( ( ( sK1_R @ SV142 @ SV143 @ SV144 )
= ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
@ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
@ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) )
= $true )
| ( ( sK1_R @ SV121 @ SV122 @ SV123 )
= $false ) ),
inference(res,[status(thm)],[665,542]) ).
thf(674,plain,
! [SV142: $i,SV143: $i,SV144: $i,SV104: $i,SV105: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
@ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) )
= ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV104
@ SV105 ) )
= $false )
| ( ( sK1_R @ SV142 @ SV143 @ SV144 )
= $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 ) )
@ ( sK6_SY81 @ SV105 @ SV104 ) )
= $true ) ),
inference(res,[status(thm)],[665,461]) ).
thf(675,plain,
! [SV142: $i,SV143: $i,SV144: $i,SV104: $i,SV105: $i] :
( ( ( ( sK1_R @ SV142 @ SV143 @ SV144 )
= ( 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 ) )
@ ( sK6_SY81 @ SV105 @ SV104 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
@ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV104
@ SV105 )
= $false ) ),
inference(res,[status(thm)],[665,461]) ).
thf(676,plain,
! [SV142: $i,SV143: $i,SV144: $i,SV87: $i,SV88: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
@ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) )
= ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV87
@ SV88 ) )
= $false )
| ( ( sK1_R @ SV142 @ SV143 @ SV144 )
= $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 @ SV88 @ SV87 ) )
= $true ) ),
inference(res,[status(thm)],[665,384]) ).
thf(677,plain,
! [SV142: $i,SV143: $i,SV144: $i,SV87: $i,SV88: $i] :
( ( ( ( sK1_R @ SV142 @ SV143 @ SV144 )
= ( 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 @ SV88 @ SV87 ) ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
@ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) )
= $true )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV87
@ SV88 )
= $false ) ),
inference(res,[status(thm)],[665,384]) ).
thf(678,plain,
! [SV142: $i,SV143: $i,SV144: $i,SV51: $i] :
( ( ( ( sK1_R @ SV142 @ SV143 @ SV144 )
= ( 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 ) )
@ ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
@ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) )
= $true )
| ( ( 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)],[665,225]) ).
thf(679,plain,
! [SV142: $i,SV143: $i,SV144: $i,SV51: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
@ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) )
= ( 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 @ SV142 @ SV143 @ SV144 )
= $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)],[665,225]) ).
thf(680,plain,
! [SV142: $i,SV143: $i,SV144: $i] :
( ( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
@ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) )
= ( 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 @ SV142 @ SV143 @ SV144 )
= $false ) ),
inference(res,[status(thm)],[665,15]) ).
thf(681,plain,
! [SV142: $i,SV143: $i,SV144: $i] :
( ( ( ( sK1_R @ SV142 @ SV143 @ SV144 )
= ( sK1_R @ sK2_SY0 @ sK3_SY3 @ sK4_SY5 ) )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
@ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) )
= $true ) ),
inference(res,[status(thm)],[665,11]) ).
thf(682,plain,
( ( ~ ~ ! [SY784: $i] :
~ ~ ! [SY785: $i] :
~ ~ ! [SY786: $i] :
~ ( sK1_R @ SY784 @ SY785 @ SY786 )
| ~ ! [SY790: $i] :
~ ~ ! [SY791: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY790
@ SY791 ) )
= $true ),
inference(choice,[status(thm)],[665]) ).
thf(683,plain,
( ( ( ~ ~ ! [SY784: $i] :
~ ~ ! [SY785: $i] :
~ ~ ! [SY786: $i] :
~ ( sK1_R @ SY784 @ SY785 @ SY786 ) )
= $true )
| ( ( ~ ! [SY790: $i] :
~ ~ ! [SY791: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY790
@ SY791 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(684,plain,
( ( ( ~ ! [SY784: $i] :
~ ~ ! [SY785: $i] :
~ ~ ! [SY786: $i] :
~ ( sK1_R @ SY784 @ SY785 @ SY786 ) )
= $false )
| ( ( ~ ! [SY790: $i] :
~ ~ ! [SY791: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY790
@ SY791 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(685,plain,
( ( ( ! [SY784: $i] :
~ ~ ! [SY785: $i] :
~ ~ ! [SY786: $i] :
~ ( sK1_R @ SY784 @ SY785 @ SY786 ) )
= $true )
| ( ( ~ ! [SY790: $i] :
~ ~ ! [SY791: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY790
@ SY791 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[684]) ).
thf(686,plain,
! [SV146: $i] :
( ( ( ~ ~ ! [SY792: $i] :
~ ~ ! [SY793: $i] :
~ ( sK1_R @ SV146 @ SY792 @ SY793 ) )
= $true )
| ( ( ~ ! [SY790: $i] :
~ ~ ! [SY791: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY790
@ SY791 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(687,plain,
! [SV146: $i] :
( ( ( ~ ! [SY792: $i] :
~ ~ ! [SY793: $i] :
~ ( sK1_R @ SV146 @ SY792 @ SY793 ) )
= $false )
| ( ( ~ ! [SY790: $i] :
~ ~ ! [SY791: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY790
@ SY791 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(688,plain,
! [SV146: $i] :
( ( ( ! [SY792: $i] :
~ ~ ! [SY793: $i] :
~ ( sK1_R @ SV146 @ SY792 @ SY793 ) )
= $true )
| ( ( ~ ! [SY790: $i] :
~ ~ ! [SY791: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY790
@ SY791 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[687]) ).
thf(689,plain,
! [SV147: $i,SV146: $i] :
( ( ( ~ ~ ! [SY794: $i] :
~ ( sK1_R @ SV146 @ SV147 @ SY794 ) )
= $true )
| ( ( ~ ! [SY790: $i] :
~ ~ ! [SY791: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY790
@ SY791 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(690,plain,
! [SV147: $i,SV146: $i] :
( ( ( ~ ! [SY794: $i] :
~ ( sK1_R @ SV146 @ SV147 @ SY794 ) )
= $false )
| ( ( ~ ! [SY790: $i] :
~ ~ ! [SY791: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY790
@ SY791 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[689]) ).
thf(691,plain,
! [SV147: $i,SV146: $i] :
( ( ( ! [SY794: $i] :
~ ( sK1_R @ SV146 @ SV147 @ SY794 ) )
= $true )
| ( ( ~ ! [SY790: $i] :
~ ~ ! [SY791: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY790
@ SY791 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[690]) ).
thf(692,plain,
! [SV148: $i,SV147: $i,SV146: $i] :
( ( ( ~ ( sK1_R @ SV146 @ SV147 @ SV148 ) )
= $true )
| ( ( ~ ! [SY790: $i] :
~ ~ ! [SY791: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY790
@ SY791 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(693,plain,
! [SV148: $i,SV147: $i,SV146: $i] :
( ( ( sK1_R @ SV146 @ SV147 @ SV148 )
= $false )
| ( ( ~ ! [SY790: $i] :
~ ~ ! [SY791: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY790
@ SY791 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(694,plain,
! [SV148: $i,SV147: $i,SV146: $i] :
( ( ( ! [SY790: $i] :
~ ~ ! [SY791: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SY790
@ SY791 ) )
= $false )
| ( ( sK1_R @ SV146 @ SV147 @ SV148 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(695,plain,
! [SV146: $i,SV147: $i,SV148: $i] :
( ( ( ~ ~ ! [SY795: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK60_SY790 @ SV148 @ SV147 @ SV146 )
@ SY795 ) )
= $false )
| ( ( sK1_R @ SV146 @ SV147 @ SV148 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[694]) ).
thf(696,plain,
! [SV146: $i,SV147: $i,SV148: $i] :
( ( ( ~ ! [SY795: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK60_SY790 @ SV148 @ SV147 @ SV146 )
@ SY795 ) )
= $true )
| ( ( sK1_R @ SV146 @ SV147 @ SV148 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[695]) ).
thf(697,plain,
! [SV146: $i,SV147: $i,SV148: $i] :
( ( ( ! [SY795: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK60_SY790 @ SV148 @ SV147 @ SV146 )
@ SY795 ) )
= $false )
| ( ( sK1_R @ SV146 @ SV147 @ SV148 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(698,plain,
! [SV146: $i,SV147: $i,SV148: $i] :
( ( ( ~ ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK60_SY790 @ SV148 @ SV147 @ SV146 )
@ ( sK61_SY795 @ SV146 @ SV147 @ SV148 ) ) )
= $false )
| ( ( sK1_R @ SV146 @ SV147 @ SV148 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[697]) ).
thf(699,plain,
! [SV146: $i,SV147: $i,SV148: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK60_SY790 @ SV148 @ SV147 @ SV146 )
@ ( sK61_SY795 @ SV146 @ SV147 @ SV148 ) )
= $true )
| ( ( sK1_R @ SV146 @ SV147 @ SV148 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[698]) ).
thf(700,plain,
( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ sK4_SY5 @ sK3_SY3 @ sK2_SY0 )
@ ( sK14_SY155 @ sK2_SY0 @ sK3_SY3 @ sK4_SY5 ) )
= $true ),
inference(extuni,[status(esa)],[681:[bind(SV144,$thf( sK4_SY5 )),bind(SV143,$thf( sK3_SY3 )),bind(SV142,$thf( sK2_SY0 ))]]) ).
thf(701,plain,
! [SV144: $i,SV143: $i,SV142: $i] :
( ( ( sK1_R @ SV142 @ SV143 @ SV144 )
= $false )
| ( ( ( sK14_SY155 @ SV142 @ SV143 @ SV144 )
= ( 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 )
| ( ( ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
= ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[680]) ).
thf(702,plain,
! [SV144: $i,SV143: $i,SV142: $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 ) ) )
= $true )
| ( ( sK1_R @ SV142 @ SV143 @ SV144 )
= $false )
| ( ( ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
= ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[679:[bind(SV51,$thf( sK14_SY155 @ SV142 @ SV143 @ SV144 ))]]) ).
thf(703,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 ) )
@ ( sK10_SY91
@ ( 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 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK14_SY155
@ ( 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 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[678:[bind(SV144,$thf( 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: $i] : ~ ( sK1_R @ SX3 @ SX4 @ SX5 ) ) ) ) ) @ SX1 @ SX2 ) ) ) @ SX0 ) )),bind(SV143,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( sK1_R @ ( eps @ ^ [SX2: $i] : ~ ( ! [SX3: $i] : ~ ( ~ ( ! [SX4: $i] : ~ ( sK1_R @ SX2 @ SX3 @ SX4 ) ) ) ) ) @ SX0 @ SX1 ) ) )),bind(SV142,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(704,plain,
! [SV88: $i,SV87: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV87
@ SV88 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ ( sK5_SY25 @ SV88 @ SV87 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK14_SY155
@ ( 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 @ SV88 @ SV87 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[677:[bind(SV144,$thf( sK5_SY25 @ SV88 @ SV87 )),bind(SV143,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( sK1_R @ ( eps @ ^ [SX2: $i] : ~ ( ! [SX3: $i] : ~ ( ~ ( ! [SX4: $i] : ~ ( sK1_R @ SX2 @ SX3 @ SX4 ) ) ) ) ) @ SX0 @ SX1 ) ) )),bind(SV142,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(705,plain,
! [SV144: $i,SV143: $i,SV142: $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 @ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) @ ( sK10_SY91 @ SV144 @ SV143 @ SV142 ) ) )
= $true )
| ( ( sK1_R @ SV142 @ SV143 @ SV144 )
= $false ) ),
inference(extuni,[status(esa)],[676:[bind(SV88,$thf( sK14_SY155 @ SV142 @ SV143 @ SV144 )),bind(SV87,$thf( sK10_SY91 @ SV144 @ SV143 @ SV142 ))]]) ).
thf(706,plain,
! [SV105: $i,SV104: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ SV104
@ SV105 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ ( sK6_SY81 @ SV105 @ SV104 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ( sK1_R
@ ( eps
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ( sK1_R @ SX2 @ SX3 @ SX4 ) )
@ SX0
@ SX1 ) )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK14_SY155
@ ( 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 ) )
@ ( sK6_SY81 @ SV105 @ SV104 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[675:[bind(SV144,$thf( sK6_SY81 @ SV105 @ SV104 )),bind(SV143,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( sK1_R @ ( eps @ ^ [SX2: $i] : ~ ( ! [SX3: $i] : ~ ( ~ ( ! [SX4: $i] : ~ ( sK1_R @ SX2 @ SX3 @ SX4 ) ) ) ) ) @ SX0 @ SX1 ) ) )),bind(SV142,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(707,plain,
! [SV144: $i,SV143: $i,SV142: $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 ) )
@ ( sK6_SY81 @ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) @ ( sK10_SY91 @ SV144 @ SV143 @ SV142 ) ) )
= $true )
| ( ( sK1_R @ SV142 @ SV143 @ SV144 )
= $false ) ),
inference(extuni,[status(esa)],[674:[bind(SV105,$thf( sK14_SY155 @ SV142 @ SV143 @ SV144 )),bind(SV104,$thf( sK10_SY91 @ SV144 @ SV143 @ SV142 ))]]) ).
thf(708,plain,
! [SV123: $i,SV122: $i,SV121: $i] :
( ( ( sK1_R @ SV121 @ SV122 @ SV123 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) @ ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK14_SY155
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ SV123 @ SV122 @ SV121 )
@ ( sK11_SY143 @ SV121 @ SV122 @ SV123 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[673:[bind(SV144,$thf( sK11_SY143 @ SV121 @ SV122 @ SV123 )),bind(SV143,$thf( sK7_SY13 @ SV123 @ SV122 @ SV121 )),bind(SV142,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(709,plain,
! [SV144: $i,SV143: $i,SV142: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK7_SY13 @ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) @ ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_SY143
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
@ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) ) )
= $true )
| ( ( sK1_R @ SV142 @ SV143 @ SV144 )
= $false ) ),
inference(extuni,[status(esa)],[672:[bind(SV123,$thf( sK14_SY155 @ SV142 @ SV143 @ SV144 )),bind(SV122,$thf( sK10_SY91 @ SV144 @ SV143 @ SV142 )),bind(SV121,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(710,plain,
! [SV130: $i,SV129: $i,SV128: $i] :
( ( ( sK1_R @ SV128 @ SV129 @ SV130 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) @ ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK14_SY155
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ SV130 @ SV129 @ SV128 )
@ ( sK12_SY147 @ SV128 @ SV129 @ SV130 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[671:[bind(SV144,$thf( sK12_SY147 @ SV128 @ SV129 @ SV130 )),bind(SV143,$thf( sK8_SY35 @ SV130 @ SV129 @ SV128 )),bind(SV142,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(711,plain,
! [SV144: $i,SV143: $i,SV142: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK8_SY35 @ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) @ ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK12_SY147
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
@ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) ) )
= $true )
| ( ( sK1_R @ SV142 @ SV143 @ SV144 )
= $false ) ),
inference(extuni,[status(esa)],[670:[bind(SV130,$thf( sK14_SY155 @ SV142 @ SV143 @ SV144 )),bind(SV129,$thf( sK10_SY91 @ SV144 @ SV143 @ SV142 )),bind(SV128,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(712,plain,
! [SV137: $i,SV136: $i,SV135: $i] :
( ( ( sK1_R @ SV135 @ SV136 @ SV137 )
= $false )
| ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) @ ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK14_SY155
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ SV137 @ SV136 @ SV135 )
@ ( sK13_SY151 @ SV135 @ SV136 @ SV137 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[669:[bind(SV144,$thf( sK13_SY151 @ SV135 @ SV136 @ SV137 )),bind(SV143,$thf( sK9_SY69 @ SV137 @ SV136 @ SV135 )),bind(SV142,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(713,plain,
! [SV144: $i,SV143: $i,SV142: $i] :
( ( ( sK1_R
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_SY69 @ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) @ ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK13_SY151
@ ( eps
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( sK1_R @ SX0 @ SX1 @ SX2 ) )
@ ( sK10_SY91 @ SV144 @ SV143 @ SV142 )
@ ( sK14_SY155 @ SV142 @ SV143 @ SV144 ) ) )
= $true )
| ( ( sK1_R @ SV142 @ SV143 @ SV144 )
= $false ) ),
inference(extuni,[status(esa)],[668:[bind(SV137,$thf( sK14_SY155 @ SV142 @ SV143 @ SV144 )),bind(SV136,$thf( sK10_SY91 @ SV144 @ SV143 @ SV142 )),bind(SV135,$thf( eps @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(714,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,665,664,663,662,661,660,659,658,657,656,655,654,653,652,620,619,618,617,616,615,614,613,612,611,610,609,579,578,577,576,575,574,573,572,571,570,542,541,540,539,538,537,536,535,534,533,515,461,460,459,458,457,456,455,454,436,384,381,380,379,378,377,376,375,374,342,339,336,286,225,224,223,222,221,220,198,195,160,15]) ).
thf(715,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[714]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO534^1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.32 % Computer : n024.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sat Jul 9 04:03:58 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.32
% 0.12/0.32 No.of.Axioms: 1
% 0.12/0.32
% 0.12/0.32 Length.of.Defs: 504
% 0.12/0.32
% 0.12/0.32 Contains.Choice.Funs: true
% 0.12/0.33 (rf:0,axioms:1,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3,loop_count:0,foatp_calls:0,translation:fof_full)..........
% 0.17/0.40
% 0.17/0.40 *** Modified list of choice operators: eps ***
% 0.17/0.40 .........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
% 11.70/11.94
% 11.70/11.94 ********************************
% 11.70/11.94 * All subproblems solved! *
% 11.70/11.94 ********************************
% 11.70/11.94 % 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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:714,loop_count:10,foatp_calls:3,translation:fof_full)
% 11.98/12.19
% 11.98/12.19 %**** Beginning of derivation protocol ****
% 11.98/12.19 % SZS output start CNFRefutation
% See solution above
% 11.98/12.19
% 11.98/12.19 %**** End of derivation protocol ****
% 11.98/12.19 %**** no. of clauses in derivation: 692 ****
% 11.98/12.19 %**** clause counter: 714 ****
% 11.98/12.19
% 11.98/12.19 % 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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:714,loop_count:10,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------