%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU473^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:44:33 AM UTC 2026
% Result : Theorem 40.57s 7.07s
% Output : CNFRefutation 40.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 30
% Syntax : Number of formulae : 346 ( 99 unt; 0 typ; 29 def)
% Number of atoms : 4872 (2374 equ; 0 cnn)
% Maximal formula atoms : 8 ( 14 avg)
% Number of connectives : 11384 (1811 ~;2269 |; 80 &;7136 @)
% ( 0 <=>; 88 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1079 (1079 >; 0 *; 0 +; 0 <<)
% Number of symbols : 48 ( 45 usr; 4 con; 0-3 aty)
% Number of variables : 953 ( 43 ^; 905 !; 5 ?; 953 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_antisymm,type,
antisymm: ( $i > $i > $o ) > $o ).
thf(tp_asymm,type,
asymm: ( $i > $i > $o ) > $o ).
thf(tp_confl,type,
confl: ( $i > $i > $o ) > $o ).
thf(tp_cr,type,
cr: ( $i > $i > $o ) > $o ).
thf(tp_idem,type,
idem: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).
thf(tp_ind,type,
ind: ( $i > $i > $o ) > $o ).
thf(tp_infl,type,
infl: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).
thf(tp_innf,type,
innf: ( $i > $i > $o ) > $i > $o ).
thf(tp_inv,type,
inv: ( $i > $i > $o ) > $i > $i > $o ).
thf(tp_irrefl,type,
irrefl: ( $i > $i > $o ) > $o ).
thf(tp_join,type,
join: ( $i > $i > $o ) > $i > $i > $o ).
thf(tp_lconfl,type,
lconfl: ( $i > $i > $o ) > $o ).
thf(tp_mono,type,
mono: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).
thf(tp_nfof,type,
nfof: ( $i > $i > $o ) > $i > $i > $o ).
thf(tp_norm,type,
norm: ( $i > $i > $o ) > $o ).
thf(tp_po,type,
po: ( $i > $i > $o ) > $o ).
thf(tp_rc,type,
rc: ( $i > $i > $o ) > $i > $i > $o ).
thf(tp_refl,type,
refl: ( $i > $i > $o ) > $o ).
thf(tp_sK10_SY329,type,
sK10_SY329: ( $i > $i > $o ) > $i ).
thf(tp_sK11_SY331,type,
sK11_SY331: ( $i > $i > $o ) > $i ).
thf(tp_sK12_SY221,type,
sK12_SY221: ( $i > $i > $o ) > $i ).
thf(tp_sK13_SY332,type,
sK13_SY332: ( $i > $i > $o ) > $i ).
thf(tp_sK14_SY10,type,
sK14_SY10: ( $i > $i > $o ) > $i ).
thf(tp_sK15_SY333,type,
sK15_SY333: ( $i > $i > $o ) > $i ).
thf(tp_sK16_SY335,type,
sK16_SY335: ( $i > $i > $o ) > $i ).
thf(tp_sK1_SY0,type,
sK1_SY0: $i > $i > $o ).
thf(tp_sK2_SY212,type,
sK2_SY212: $i > $i > $o ).
thf(tp_sK3_SY243,type,
sK3_SY243: $i ).
thf(tp_sK4_SY269,type,
sK4_SY269: $i ).
thf(tp_sK5_SY312,type,
sK5_SY312: $i > $i > $o ).
thf(tp_sK6_SY306,type,
sK6_SY306: $i > $i > $o ).
thf(tp_sK7_SY227,type,
sK7_SY227: ( $i > $i > $o ) > $i ).
thf(tp_sK8_SY328,type,
sK8_SY328: ( $i > $i > $o ) > $i ).
thf(tp_sK9_SY10,type,
sK9_SY10: ( $i > $i > $o ) > $i ).
thf(tp_sc,type,
sc: ( $i > $i > $o ) > $i > $i > $o ).
thf(tp_sconfl,type,
sconfl: ( $i > $i > $o ) > $o ).
thf(tp_so,type,
so: ( $i > $i > $o ) > $o ).
thf(tp_subrel,type,
subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(tp_symm,type,
symm: ( $i > $i > $o ) > $o ).
thf(tp_tc,type,
tc: ( $i > $i > $o ) > $i > $i > $o ).
thf(tp_term,type,
term: ( $i > $i > $o ) > $o ).
thf(tp_total,type,
total: ( $i > $i > $o ) > $o ).
thf(tp_trans,type,
trans: ( $i > $i > $o ) > $o ).
thf(tp_trc,type,
trc: ( $i > $i > $o ) > $i > $i > $o ).
thf(tp_trsc,type,
trsc: ( $i > $i > $o ) > $i > $i > $o ).
thf(antisymm,definition,
( antisymm
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ X ) )
=> ( X = Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetric) ).
thf(asymm,definition,
( asymm
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ~ ( R @ Y @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',asymmetric) ).
thf(confl,definition,
( confl
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( trc @ R @ X @ Z )
& ( trc @ R @ X @ Y ) )
=> ( join @ R @ Z @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',confluent) ).
thf(cr,definition,
( cr
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( trsc @ R @ X @ Y )
=> ( join @ R @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_rosser) ).
thf(idem,definition,
( idem
= ( ^ [F: ( $i > $i > $o ) > $i > $i > $o] :
! [R: $i > $i > $o] :
( ( F @ ( F @ R ) )
= ( F @ R ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotent) ).
thf(ind,definition,
( ind
= ( ^ [R: $i > $i > $o] :
! [P: $i > $o] :
( ! [X: $i] :
( ! [Y: $i] :
( ( tc @ R @ X @ Y )
=> ( P @ Y ) )
=> ( P @ X ) )
=> ! [X: $i] : ( P @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satisfying_the_induction_principle) ).
thf(infl,definition,
( infl
= ( ^ [F: ( $i > $i > $o ) > $i > $i > $o] :
! [R: $i > $i > $o] : ( subrel @ R @ ( F @ R ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inflationary) ).
thf(innf,definition,
( innf
= ( ^ [R: $i > $i > $o,X: $i] :
~ ? [Y: $i] : ( R @ X @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_normal_form) ).
thf(inv,definition,
( inv
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] : ( R @ Y @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
thf(irrefl,definition,
( irrefl
= ( ^ [R: $i > $i > $o] :
! [X: $i] :
~ ( R @ X @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexive) ).
thf(join,definition,
( join
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
? [Z: $i] :
( ( trc @ R @ X @ Z )
& ( trc @ R @ Y @ Z ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',joinable) ).
thf(lconfl,definition,
( lconfl
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Z )
& ( R @ X @ Y ) )
=> ( join @ R @ Z @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',locally_confluent) ).
thf(mono,definition,
( mono
= ( ^ [F: ( $i > $i > $o ) > $i > $i > $o] :
! [R: $i > $i > $o,S: $i > $i > $o] :
( ( subrel @ R @ S )
=> ( subrel @ ( F @ R ) @ ( F @ S ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotonic) ).
thf(nfof,definition,
( nfof
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
( ( trc @ R @ Y @ X )
& ( innf @ R @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',normal_form_of) ).
thf(norm,definition,
( norm
= ( ^ [R: $i > $i > $o] :
! [X: $i] :
? [Y: $i] : ( nfof @ R @ Y @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',normalizing) ).
thf(po,definition,
( po
= ( ^ [R: $i > $i > $o] :
( ( refl @ R )
& ( antisymm @ R )
& ( trans @ R ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partial_order) ).
thf(rc,definition,
( rc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
( ( X = Y )
| ( R @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexive_closure) ).
thf(refl,definition,
( refl
= ( ^ [R: $i > $i > $o] :
! [X: $i] : ( R @ X @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexive) ).
thf(sc,definition,
( sc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
( ( R @ Y @ X )
| ( R @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric_closure) ).
thf(sconfl,definition,
( sconfl
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Z )
& ( trc @ R @ X @ Y ) )
=> ( join @ R @ Z @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',semi_confluent) ).
thf(so,definition,
( so
= ( ^ [R: $i > $i > $o] :
( ( asymm @ R )
& ( trans @ R ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',strict_order) ).
thf(subrel,definition,
( subrel
= ( ^ [R: $i > $i > $o,S: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ( S @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subrel) ).
thf(symm,definition,
( symm
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ( R @ Y @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric) ).
thf(tc,definition,
( tc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
! [S: $i > $i > $o] :
( ( ( trans @ S )
& ( subrel @ R @ S ) )
=> ( S @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_closure) ).
thf(term,definition,
( term
= ( ^ [R: $i > $i > $o] :
! [A: $i > $o] :
( ? [X: $i] : ( A @ X )
=> ? [X: $i] :
( ( A @ X )
& ! [Y: $i] :
( ( A @ Y )
=> ~ ( R @ X @ Y ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',terminating) ).
thf(total,definition,
( total
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( X = Y )
| ( R @ X @ Y )
| ( R @ Y @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total) ).
thf(trans,definition,
( trans
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ Z ) )
=> ( R @ X @ Z ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive) ).
thf(trc,definition,
( trc
= ( ^ [R: $i > $i > $o] : ( rc @ ( tc @ R ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_reflexive_closure) ).
thf(trsc,definition,
( trsc
= ( ^ [R: $i > $i > $o] : ( sc @ ( rc @ ( tc @ R ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_reflexive_symmetric_closure) ).
thf(1,conjecture,
mono @ trsc,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_reflexive_symmetric_closure_op_is_monotonic) ).
thf(2,negated_conjecture,
( ( mono @ trsc )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [SY0: $i > $i > $o,SY1: $i > $i > $o] :
( ! [SY5: $i,SY6: $i] :
( ( SY0 @ SY5 @ SY6 )
=> ( SY1 @ SY5 @ SY6 ) )
=> ! [SY143: $i,SY144: $i] :
( ( ( SY144 = SY143 )
| ! [SY77: $i > $i > $o] :
( ( ! [SY10: $i,SY11: $i,SY12: $i] :
( ( ( SY77 @ SY10 @ SY11 )
& ( SY77 @ SY11 @ SY12 ) )
=> ( SY77 @ SY10 @ SY12 ) )
& ! [SY16: $i,SY17: $i] :
( ( SY0 @ SY16 @ SY17 )
=> ( SY77 @ SY16 @ SY17 ) ) )
=> ( SY77 @ SY144 @ SY143 ) )
| ( SY143 = SY144 )
| ! [SY83: $i > $i > $o] :
( ( ! [SY10: $i,SY11: $i,SY12: $i] :
( ( ( SY83 @ SY10 @ SY11 )
& ( SY83 @ SY11 @ SY12 ) )
=> ( SY83 @ SY10 @ SY12 ) )
& ! [SY16: $i,SY17: $i] :
( ( SY0 @ SY16 @ SY17 )
=> ( SY83 @ SY16 @ SY17 ) ) )
=> ( SY83 @ SY143 @ SY144 ) ) )
=> ( ( SY144 = SY143 )
| ! [SY170: $i > $i > $o] :
( ( ! [SY92: $i,SY93: $i,SY94: $i] :
( ( ( SY170 @ SY92 @ SY93 )
& ( SY170 @ SY93 @ SY94 ) )
=> ( SY170 @ SY92 @ SY94 ) )
& ! [SY98: $i,SY99: $i] :
( ( SY1 @ SY98 @ SY99 )
=> ( SY170 @ SY98 @ SY99 ) ) )
=> ( SY170 @ SY144 @ SY143 ) )
| ( SY143 = SY144 )
| ! [SY176: $i > $i > $o] :
( ( ! [SY92: $i,SY93: $i,SY94: $i] :
( ( ( SY176 @ SY92 @ SY93 )
& ( SY176 @ SY93 @ SY94 ) )
=> ( SY176 @ SY92 @ SY94 ) )
& ! [SY98: $i,SY99: $i] :
( ( SY1 @ SY98 @ SY99 )
=> ( SY176 @ SY98 @ SY99 ) ) )
=> ( SY176 @ SY143 @ SY144 ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,antisymm,asymm,confl,cr,idem,ind,infl,innf,inv,irrefl,join,lconfl,mono,nfof,norm,po,rc,refl,sc,sconfl,so,subrel,symm,tc,term,total,trans,trc,trsc]) ).
thf(4,plain,
( ( ! [SY212: $i > $i > $o] :
( ! [SY213: $i,SY214: $i] :
( ( sK1_SY0 @ SY213 @ SY214 )
=> ( SY212 @ SY213 @ SY214 ) )
=> ! [SY215: $i,SY216: $i] :
( ( ( SY216 = SY215 )
| ! [SY217: $i > $i > $o] :
( ( ! [SY10: $i,SY11: $i,SY12: $i] :
( ( ( SY217 @ SY10 @ SY11 )
& ( SY217 @ SY11 @ SY12 ) )
=> ( SY217 @ SY10 @ SY12 ) )
& ! [SY221: $i,SY222: $i] :
( ( sK1_SY0 @ SY221 @ SY222 )
=> ( SY217 @ SY221 @ SY222 ) ) )
=> ( SY217 @ SY216 @ SY215 ) )
| ( SY215 = SY216 )
| ! [SY223: $i > $i > $o] :
( ( ! [SY10: $i,SY11: $i,SY12: $i] :
( ( ( SY223 @ SY10 @ SY11 )
& ( SY223 @ SY11 @ SY12 ) )
=> ( SY223 @ SY10 @ SY12 ) )
& ! [SY227: $i,SY228: $i] :
( ( sK1_SY0 @ SY227 @ SY228 )
=> ( SY223 @ SY227 @ SY228 ) ) )
=> ( SY223 @ SY215 @ SY216 ) ) )
=> ( ( SY216 = SY215 )
| ! [SY170: $i > $i > $o] :
( ( ! [SY92: $i,SY93: $i,SY94: $i] :
( ( ( SY170 @ SY92 @ SY93 )
& ( SY170 @ SY93 @ SY94 ) )
=> ( SY170 @ SY92 @ SY94 ) )
& ! [SY98: $i,SY99: $i] :
( ( SY212 @ SY98 @ SY99 )
=> ( SY170 @ SY98 @ SY99 ) ) )
=> ( SY170 @ SY216 @ SY215 ) )
| ( SY215 = SY216 )
| ! [SY176: $i > $i > $o] :
( ( ! [SY92: $i,SY93: $i,SY94: $i] :
( ( ( SY176 @ SY92 @ SY93 )
& ( SY176 @ SY93 @ SY94 ) )
=> ( SY176 @ SY92 @ SY94 ) )
& ! [SY98: $i,SY99: $i] :
( ( SY212 @ SY98 @ SY99 )
=> ( SY176 @ SY98 @ SY99 ) ) )
=> ( SY176 @ SY215 @ SY216 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY241: $i,SY242: $i] :
( ( sK1_SY0 @ SY241 @ SY242 )
=> ( sK2_SY212 @ SY241 @ SY242 ) )
=> ! [SY243: $i,SY244: $i] :
( ( ( SY244 = SY243 )
| ! [SY217: $i > $i > $o] :
( ( ! [SY10: $i,SY11: $i,SY12: $i] :
( ( ( SY217 @ SY10 @ SY11 )
& ( SY217 @ SY11 @ SY12 ) )
=> ( SY217 @ SY10 @ SY12 ) )
& ! [SY221: $i,SY222: $i] :
( ( sK1_SY0 @ SY221 @ SY222 )
=> ( SY217 @ SY221 @ SY222 ) ) )
=> ( SY217 @ SY244 @ SY243 ) )
| ( SY243 = SY244 )
| ! [SY223: $i > $i > $o] :
( ( ! [SY10: $i,SY11: $i,SY12: $i] :
( ( ( SY223 @ SY10 @ SY11 )
& ( SY223 @ SY11 @ SY12 ) )
=> ( SY223 @ SY10 @ SY12 ) )
& ! [SY227: $i,SY228: $i] :
( ( sK1_SY0 @ SY227 @ SY228 )
=> ( SY223 @ SY227 @ SY228 ) ) )
=> ( SY223 @ SY243 @ SY244 ) ) )
=> ( ( SY244 = SY243 )
| ! [SY257: $i > $i > $o] :
( ( ! [SY92: $i,SY93: $i,SY94: $i] :
( ( ( SY257 @ SY92 @ SY93 )
& ( SY257 @ SY93 @ SY94 ) )
=> ( SY257 @ SY92 @ SY94 ) )
& ! [SY261: $i,SY262: $i] :
( ( sK2_SY212 @ SY261 @ SY262 )
=> ( SY257 @ SY261 @ SY262 ) ) )
=> ( SY257 @ SY244 @ SY243 ) )
| ( SY243 = SY244 )
| ! [SY263: $i > $i > $o] :
( ( ! [SY92: $i,SY93: $i,SY94: $i] :
( ( ( SY263 @ SY92 @ SY93 )
& ( SY263 @ SY93 @ SY94 ) )
=> ( SY263 @ SY92 @ SY94 ) )
& ! [SY267: $i,SY268: $i] :
( ( sK2_SY212 @ SY267 @ SY268 )
=> ( SY263 @ SY267 @ SY268 ) ) )
=> ( SY263 @ SY243 @ SY244 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY241: $i,SY242: $i] :
( ( sK1_SY0 @ SY241 @ SY242 )
=> ( sK2_SY212 @ SY241 @ SY242 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY243: $i,SY244: $i] :
( ( ( SY244 = SY243 )
| ! [SY217: $i > $i > $o] :
( ( ! [SY10: $i,SY11: $i,SY12: $i] :
( ( ( SY217 @ SY10 @ SY11 )
& ( SY217 @ SY11 @ SY12 ) )
=> ( SY217 @ SY10 @ SY12 ) )
& ! [SY221: $i,SY222: $i] :
( ( sK1_SY0 @ SY221 @ SY222 )
=> ( SY217 @ SY221 @ SY222 ) ) )
=> ( SY217 @ SY244 @ SY243 ) )
| ( SY243 = SY244 )
| ! [SY223: $i > $i > $o] :
( ( ! [SY10: $i,SY11: $i,SY12: $i] :
( ( ( SY223 @ SY10 @ SY11 )
& ( SY223 @ SY11 @ SY12 ) )
=> ( SY223 @ SY10 @ SY12 ) )
& ! [SY227: $i,SY228: $i] :
( ( sK1_SY0 @ SY227 @ SY228 )
=> ( SY223 @ SY227 @ SY228 ) ) )
=> ( SY223 @ SY243 @ SY244 ) ) )
=> ( ( SY244 = SY243 )
| ! [SY257: $i > $i > $o] :
( ( ! [SY92: $i,SY93: $i,SY94: $i] :
( ( ( SY257 @ SY92 @ SY93 )
& ( SY257 @ SY93 @ SY94 ) )
=> ( SY257 @ SY92 @ SY94 ) )
& ! [SY261: $i,SY262: $i] :
( ( sK2_SY212 @ SY261 @ SY262 )
=> ( SY257 @ SY261 @ SY262 ) ) )
=> ( SY257 @ SY244 @ SY243 ) )
| ( SY243 = SY244 )
| ! [SY263: $i > $i > $o] :
( ( ! [SY92: $i,SY93: $i,SY94: $i] :
( ( ( SY263 @ SY92 @ SY93 )
& ( SY263 @ SY93 @ SY94 ) )
=> ( SY263 @ SY92 @ SY94 ) )
& ! [SY267: $i,SY268: $i] :
( ( sK2_SY212 @ SY267 @ SY268 )
=> ( SY263 @ SY267 @ SY268 ) ) )
=> ( SY263 @ SY243 @ SY244 ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( ~ ! [SY243: $i,SY244: $i] :
( ( ( SY244 = SY243 )
| ! [SY217: $i > $i > $o] :
( ( ! [SY10: $i,SY11: $i,SY12: $i] :
( ( ( SY217 @ SY10 @ SY11 )
& ( SY217 @ SY11 @ SY12 ) )
=> ( SY217 @ SY10 @ SY12 ) )
& ! [SY221: $i,SY222: $i] :
( ( sK1_SY0 @ SY221 @ SY222 )
=> ( SY217 @ SY221 @ SY222 ) ) )
=> ( SY217 @ SY244 @ SY243 ) )
| ( SY243 = SY244 )
| ! [SY223: $i > $i > $o] :
( ( ! [SY10: $i,SY11: $i,SY12: $i] :
( ( ( SY223 @ SY10 @ SY11 )
& ( SY223 @ SY11 @ SY12 ) )
=> ( SY223 @ SY10 @ SY12 ) )
& ! [SY227: $i,SY228: $i] :
( ( sK1_SY0 @ SY227 @ SY228 )
=> ( SY223 @ SY227 @ SY228 ) ) )
=> ( SY223 @ SY243 @ SY244 ) ) )
=> ( ( SY244 = SY243 )
| ! [SY257: $i > $i > $o] :
( ( ! [SY92: $i,SY93: $i,SY94: $i] :
( ( ( SY257 @ SY92 @ SY93 )
& ( SY257 @ SY93 @ SY94 ) )
=> ( SY257 @ SY92 @ SY94 ) )
& ! [SY261: $i,SY262: $i] :
( ( sK2_SY212 @ SY261 @ SY262 )
=> ( SY257 @ SY261 @ SY262 ) ) )
=> ( SY257 @ SY244 @ SY243 ) )
| ( SY243 = SY244 )
| ! [SY263: $i > $i > $o] :
( ( ! [SY92: $i,SY93: $i,SY94: $i] :
( ( ( SY263 @ SY92 @ SY93 )
& ( SY263 @ SY93 @ SY94 ) )
=> ( SY263 @ SY92 @ SY94 ) )
& ! [SY267: $i,SY268: $i] :
( ( sK2_SY212 @ SY267 @ SY268 )
=> ( SY263 @ SY267 @ SY268 ) ) )
=> ( SY263 @ SY243 @ SY244 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ( ! [SY294: $i > $i > $o] :
( ( ( SY294 @ ( sK14_SY10 @ SY294 ) @ ( sK15_SY333 @ SY294 ) )
& ( SY294 @ ( sK15_SY333 @ SY294 ) @ ( sK16_SY335 @ SY294 ) )
& ~ ( SY294 @ ( sK14_SY10 @ SY294 ) @ ( sK16_SY335 @ SY294 ) ) )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SY294 ) @ ( sK13_SY332 @ SY294 ) )
& ~ ( SY294 @ ( sK12_SY221 @ SY294 ) @ ( sK13_SY332 @ SY294 ) ) )
| ( SY294 @ sK4_SY269 @ sK3_SY243 ) )
| ( sK4_SY269 = sK3_SY243 )
| ! [SY300: $i > $i > $o] :
( ( ( SY300 @ ( sK9_SY10 @ SY300 ) @ ( sK10_SY329 @ SY300 ) )
& ( SY300 @ ( sK10_SY329 @ SY300 ) @ ( sK11_SY331 @ SY300 ) )
& ~ ( SY300 @ ( sK9_SY10 @ SY300 ) @ ( sK11_SY331 @ SY300 ) ) )
| ( ( sK1_SY0 @ ( sK7_SY227 @ SY300 ) @ ( sK8_SY328 @ SY300 ) )
& ~ ( SY300 @ ( sK7_SY227 @ SY300 ) @ ( sK8_SY328 @ SY300 ) ) )
| ( SY300 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
& ! [SY323: $i,SY324: $i,SY325: $i] :
( ~ ( sK6_SY306 @ SY323 @ SY324 )
| ~ ( sK6_SY306 @ SY324 @ SY325 )
| ( sK6_SY306 @ SY323 @ SY325 ) )
& ! [SY326: $i,SY327: $i] :
( ~ ( sK2_SY212 @ SY326 @ SY327 )
| ( sK6_SY306 @ SY326 @ SY327 ) )
& ~ ( sK6_SY306 @ sK4_SY269 @ sK3_SY243 )
& ( sK4_SY269 != sK3_SY243 )
& ! [SY318: $i,SY319: $i,SY320: $i] :
( ~ ( sK5_SY312 @ SY318 @ SY319 )
| ~ ( sK5_SY312 @ SY319 @ SY320 )
| ( sK5_SY312 @ SY318 @ SY320 ) )
& ! [SY321: $i,SY322: $i] :
( ~ ( sK2_SY212 @ SY321 @ SY322 )
| ( sK5_SY312 @ SY321 @ SY322 ) )
& ~ ( sK5_SY312 @ sK3_SY243 @ sK4_SY269 )
& ( sK3_SY243 != sK4_SY269 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [SY241: $i,SY242: $i] :
( ~ ( sK1_SY0 @ SY241 @ SY242 )
| ( sK2_SY212 @ SY241 @ SY242 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(11,plain,
( ( ! [SY241: $i,SY242: $i] :
( ~ ( sK1_SY0 @ SY241 @ SY242 )
| ( sK2_SY212 @ SY241 @ SY242 ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(12,plain,
( ( ( ! [SY294: $i > $i > $o] :
( ( ( SY294 @ ( sK14_SY10 @ SY294 ) @ ( sK15_SY333 @ SY294 ) )
& ( SY294 @ ( sK15_SY333 @ SY294 ) @ ( sK16_SY335 @ SY294 ) )
& ~ ( SY294 @ ( sK14_SY10 @ SY294 ) @ ( sK16_SY335 @ SY294 ) ) )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SY294 ) @ ( sK13_SY332 @ SY294 ) )
& ~ ( SY294 @ ( sK12_SY221 @ SY294 ) @ ( sK13_SY332 @ SY294 ) ) )
| ( SY294 @ sK4_SY269 @ sK3_SY243 ) )
| ( sK4_SY269 = sK3_SY243 )
| ! [SY300: $i > $i > $o] :
( ( ( SY300 @ ( sK9_SY10 @ SY300 ) @ ( sK10_SY329 @ SY300 ) )
& ( SY300 @ ( sK10_SY329 @ SY300 ) @ ( sK11_SY331 @ SY300 ) )
& ~ ( SY300 @ ( sK9_SY10 @ SY300 ) @ ( sK11_SY331 @ SY300 ) ) )
| ( ( sK1_SY0 @ ( sK7_SY227 @ SY300 ) @ ( sK8_SY328 @ SY300 ) )
& ~ ( SY300 @ ( sK7_SY227 @ SY300 ) @ ( sK8_SY328 @ SY300 ) ) )
| ( SY300 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
& ! [SY323: $i,SY324: $i,SY325: $i] :
( ~ ( sK6_SY306 @ SY323 @ SY324 )
| ~ ( sK6_SY306 @ SY324 @ SY325 )
| ( sK6_SY306 @ SY323 @ SY325 ) )
& ! [SY326: $i,SY327: $i] :
( ~ ( sK2_SY212 @ SY326 @ SY327 )
| ( sK6_SY306 @ SY326 @ SY327 ) )
& ~ ( sK6_SY306 @ sK4_SY269 @ sK3_SY243 )
& ( sK4_SY269 != sK3_SY243 )
& ! [SY318: $i,SY319: $i,SY320: $i] :
( ~ ( sK5_SY312 @ SY318 @ SY319 )
| ~ ( sK5_SY312 @ SY319 @ SY320 )
| ( sK5_SY312 @ SY318 @ SY320 ) )
& ! [SY321: $i,SY322: $i] :
( ~ ( sK2_SY212 @ SY321 @ SY322 )
| ( sK5_SY312 @ SY321 @ SY322 ) )
& ~ ( sK5_SY312 @ sK3_SY243 @ sK4_SY269 )
& ( sK3_SY243 != sK4_SY269 ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(13,plain,
( ( ~ ( ~ ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK14_SY10 @ SX0 ) @ ( sK15_SY333 @ SX0 ) )
| ~ ( SX0 @ ( sK15_SY333 @ SX0 ) @ ( sK16_SY335 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK14_SY10 @ SX0 ) @ ( sK16_SY335 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SX0 ) @ ( sK13_SY332 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK12_SY221 @ SX0 ) @ ( sK13_SY332 @ SX0 ) ) )
| ( SX0 @ sK4_SY269 @ sK3_SY243 ) )
| ( sK4_SY269 = sK3_SY243 )
| ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK6_SY306 @ SX0 @ SX1 )
| ~ ( sK6_SY306 @ SX1 @ SX2 )
| ( sK6_SY306 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK6_SY306 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK6_SY306 @ sK4_SY269 @ sK3_SY243 ) )
| ~ ( ( sK4_SY269 != sK3_SY243 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK5_SY312 @ SX0 @ SX1 )
| ~ ( sK5_SY312 @ SX1 @ SX2 )
| ( sK5_SY312 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK5_SY312 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK5_SY312 @ sK3_SY243 @ sK4_SY269 ) )
| ~ ( ( sK3_SY243 != sK4_SY269 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,antisymm,asymm,confl,cr,idem,ind,infl,innf,inv,irrefl,join,lconfl,mono,nfof,norm,po,rc,refl,sc,sconfl,so,subrel,symm,tc,term,total,trans,trc,trsc]) ).
thf(14,plain,
! [SV1: $i] :
( ( ! [SY336: $i] :
( ~ ( sK1_SY0 @ SV1 @ SY336 )
| ( sK2_SY212 @ SV1 @ SY336 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(15,plain,
( ( ~ ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK14_SY10 @ SX0 ) @ ( sK15_SY333 @ SX0 ) )
| ~ ( SX0 @ ( sK15_SY333 @ SX0 ) @ ( sK16_SY335 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK14_SY10 @ SX0 ) @ ( sK16_SY335 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SX0 ) @ ( sK13_SY332 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK12_SY221 @ SX0 ) @ ( sK13_SY332 @ SX0 ) ) )
| ( SX0 @ sK4_SY269 @ sK3_SY243 ) )
| ( sK4_SY269 = sK3_SY243 )
| ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK6_SY306 @ SX0 @ SX1 )
| ~ ( sK6_SY306 @ SX1 @ SX2 )
| ( sK6_SY306 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK6_SY306 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK6_SY306 @ sK4_SY269 @ sK3_SY243 ) )
| ~ ( ( sK4_SY269 != sK3_SY243 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK5_SY312 @ SX0 @ SX1 )
| ~ ( sK5_SY312 @ SX1 @ SX2 )
| ( sK5_SY312 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK5_SY312 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK5_SY312 @ sK3_SY243 @ sK4_SY269 ) )
| ~ ( ( sK3_SY243 != sK4_SY269 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(16,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ( sK1_SY0 @ SV1 @ SV2 )
| ( sK2_SY212 @ SV1 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK14_SY10 @ SX0 ) @ ( sK15_SY333 @ SX0 ) )
| ~ ( SX0 @ ( sK15_SY333 @ SX0 ) @ ( sK16_SY335 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK14_SY10 @ SX0 ) @ ( sK16_SY335 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SX0 ) @ ( sK13_SY332 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK12_SY221 @ SX0 ) @ ( sK13_SY332 @ SX0 ) ) )
| ( SX0 @ sK4_SY269 @ sK3_SY243 ) )
| ( sK4_SY269 = sK3_SY243 )
| ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK6_SY306 @ SX0 @ SX1 )
| ~ ( sK6_SY306 @ SX1 @ SX2 )
| ( sK6_SY306 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK6_SY306 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK6_SY306 @ sK4_SY269 @ sK3_SY243 ) )
| ~ ( ( sK4_SY269 != sK3_SY243 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK5_SY312 @ SX0 @ SX1 )
| ~ ( sK5_SY312 @ SX1 @ SX2 )
| ( sK5_SY312 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK5_SY312 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK5_SY312 @ sK3_SY243 @ sK4_SY269 ) )
| ~ ( ( sK3_SY243 != sK4_SY269 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(19,plain,
! [SV2: $i,SV1: $i] :
( ( ( ~ ( sK1_SY0 @ SV1 @ SV2 ) )
= $true )
| ( ( sK2_SY212 @ SV1 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[16]) ).
thf(20,plain,
( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK14_SY10 @ SX0 ) @ ( sK15_SY333 @ SX0 ) )
| ~ ( SX0 @ ( sK15_SY333 @ SX0 ) @ ( sK16_SY335 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK14_SY10 @ SX0 ) @ ( sK16_SY335 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SX0 ) @ ( sK13_SY332 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK12_SY221 @ SX0 ) @ ( sK13_SY332 @ SX0 ) ) )
| ( SX0 @ sK4_SY269 @ sK3_SY243 ) )
| ( sK4_SY269 = sK3_SY243 )
| ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK6_SY306 @ SX0 @ SX1 )
| ~ ( sK6_SY306 @ SX1 @ SX2 )
| ( sK6_SY306 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK6_SY306 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK6_SY306 @ sK4_SY269 @ sK3_SY243 ) )
| ~ ( ( sK4_SY269 != sK3_SY243 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK5_SY312 @ SX0 @ SX1 )
| ~ ( sK5_SY312 @ SX1 @ SX2 )
| ( sK5_SY312 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK5_SY312 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK5_SY312 @ sK3_SY243 @ sK4_SY269 ) )
| ~ ( ( sK3_SY243 != sK4_SY269 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(22,plain,
! [SV2: $i,SV1: $i] :
( ( ( sK1_SY0 @ SV1 @ SV2 )
= $false )
| ( ( sK2_SY212 @ SV1 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK14_SY10 @ SX0 ) @ ( sK15_SY333 @ SX0 ) )
| ~ ( SX0 @ ( sK15_SY333 @ SX0 ) @ ( sK16_SY335 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK14_SY10 @ SX0 ) @ ( sK16_SY335 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SX0 ) @ ( sK13_SY332 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK12_SY221 @ SX0 ) @ ( sK13_SY332 @ SX0 ) ) )
| ( SX0 @ sK4_SY269 @ sK3_SY243 ) )
| ( sK4_SY269 = sK3_SY243 ) )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(24,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK6_SY306 @ SX0 @ SX1 )
| ~ ( sK6_SY306 @ SX1 @ SX2 )
| ( sK6_SY306 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK6_SY306 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK6_SY306 @ sK4_SY269 @ sK3_SY243 ) )
| ~ ( ( sK4_SY269 != sK3_SY243 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK5_SY312 @ SX0 @ SX1 )
| ~ ( sK5_SY312 @ SX1 @ SX2 )
| ( sK5_SY312 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK5_SY312 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK5_SY312 @ sK3_SY243 @ sK4_SY269 ) )
| ~ ( ( sK3_SY243 != sK4_SY269 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(25,plain,
( ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK14_SY10 @ SX0 ) @ ( sK15_SY333 @ SX0 ) )
| ~ ( SX0 @ ( sK15_SY333 @ SX0 ) @ ( sK16_SY335 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK14_SY10 @ SX0 ) @ ( sK16_SY335 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SX0 ) @ ( sK13_SY332 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK12_SY221 @ SX0 ) @ ( sK13_SY332 @ SX0 ) ) )
| ( SX0 @ sK4_SY269 @ sK3_SY243 ) ) )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(26,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK6_SY306 @ SX0 @ SX1 )
| ~ ( sK6_SY306 @ SX1 @ SX2 )
| ( sK6_SY306 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK6_SY306 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK6_SY306 @ sK4_SY269 @ sK3_SY243 ) )
| ~ ( ( sK4_SY269 != sK3_SY243 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(27,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK5_SY312 @ SX0 @ SX1 )
| ~ ( sK5_SY312 @ SX1 @ SX2 )
| ( sK5_SY312 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK5_SY312 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK5_SY312 @ sK3_SY243 @ sK4_SY269 ) )
| ~ ( ( sK3_SY243 != sK4_SY269 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(28,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
| ~ ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) ) )
| ~ ~ ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
| ~ ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) )
| ( SV3 @ sK4_SY269 @ sK3_SY243 ) )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(29,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK6_SY306 @ SX0 @ SX1 )
| ~ ( sK6_SY306 @ SX1 @ SX2 )
| ( sK6_SY306 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK6_SY306 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK6_SY306 @ sK4_SY269 @ sK3_SY243 ) )
| ~ ( ( sK4_SY269 != sK3_SY243 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(30,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK5_SY312 @ SX0 @ SX1 )
| ~ ( sK5_SY312 @ SX1 @ SX2 )
| ( sK5_SY312 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK5_SY312 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK5_SY312 @ sK3_SY243 @ sK4_SY269 ) )
| ~ ( ( sK3_SY243 != sK4_SY269 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(31,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
| ~ ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) ) )
| ~ ~ ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
| ~ ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(32,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK6_SY306 @ SX0 @ SX1 )
| ~ ( sK6_SY306 @ SX1 @ SX2 )
| ( sK6_SY306 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK6_SY306 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK6_SY306 @ sK4_SY269 @ sK3_SY243 ) )
| ~ ( ( sK4_SY269 != sK3_SY243 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(33,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK5_SY312 @ SX0 @ SX1 )
| ~ ( sK5_SY312 @ SX1 @ SX2 )
| ( sK5_SY312 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK5_SY312 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK5_SY312 @ sK3_SY243 @ sK4_SY269 ) )
| ~ ( ( sK3_SY243 != sK4_SY269 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
| ~ ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) ) )
| ~ ~ ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
| ~ ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(35,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK6_SY306 @ SX0 @ SX1 )
| ~ ( sK6_SY306 @ SX1 @ SX2 )
| ( sK6_SY306 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK6_SY306 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK6_SY306 @ sK4_SY269 @ sK3_SY243 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(36,plain,
( ( ~ ( ( sK4_SY269 != sK3_SY243 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(37,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK5_SY312 @ SX0 @ SX1 )
| ~ ( sK5_SY312 @ SX1 @ SX2 )
| ( sK5_SY312 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK5_SY312 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK5_SY312 @ sK3_SY243 @ sK4_SY269 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(38,plain,
( ( ~ ( ( sK3_SY243 != sK4_SY269 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(39,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
| ~ ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) ) )
| ~ ~ ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
| ~ ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(40,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK6_SY306 @ SX0 @ SX1 )
| ~ ( sK6_SY306 @ SX1 @ SX2 )
| ( sK6_SY306 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK6_SY306 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK6_SY306 @ sK4_SY269 @ sK3_SY243 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(41,plain,
( ( sK4_SY269 != sK3_SY243 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(42,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK5_SY312 @ SX0 @ SX1 )
| ~ ( sK5_SY312 @ SX1 @ SX2 )
| ( sK5_SY312 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK5_SY312 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK5_SY312 @ sK3_SY243 @ sK4_SY269 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(43,plain,
( ( sK3_SY243 != sK4_SY269 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(44,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
| ~ ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
| ~ ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(45,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ~ ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
| ~ ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(46,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK6_SY306 @ SX0 @ SX1 )
| ~ ( sK6_SY306 @ SX1 @ SX2 )
| ( sK6_SY306 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK6_SY306 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK6_SY306 @ sK4_SY269 @ sK3_SY243 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(47,plain,
( ( sK4_SY269 = sK3_SY243 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(48,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK5_SY312 @ SX0 @ SX1 )
| ~ ( sK5_SY312 @ SX1 @ SX2 )
| ( sK5_SY312 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK5_SY312 @ SX0 @ SX1 ) ) )
| ~ ~ ( sK5_SY312 @ sK3_SY243 @ sK4_SY269 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(49,plain,
( ( sK3_SY243 = sK4_SY269 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(50,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( ~ ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
| ~ ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
| ~ ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(51,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
| ~ ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(52,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK6_SY306 @ SX0 @ SX1 )
| ~ ( sK6_SY306 @ SX1 @ SX2 )
| ( sK6_SY306 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK6_SY306 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(53,plain,
( ( ~ ~ ( sK6_SY306 @ sK4_SY269 @ sK3_SY243 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(54,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK5_SY312 @ SX0 @ SX1 )
| ~ ( sK5_SY312 @ SX1 @ SX2 )
| ( sK5_SY312 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK5_SY312 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(55,plain,
( ( ~ ~ ( sK5_SY312 @ sK3_SY243 @ sK4_SY269 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(56,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
| ~ ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
| ~ ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(57,plain,
! [SV3: $i > $i > $o] :
( ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
| ~ ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(58,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK6_SY306 @ SX0 @ SX1 )
| ~ ( sK6_SY306 @ SX1 @ SX2 )
| ( sK6_SY306 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK6_SY306 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(59,plain,
( ( ~ ( sK6_SY306 @ sK4_SY269 @ sK3_SY243 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(60,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK5_SY312 @ SX0 @ SX1 )
| ~ ( sK5_SY312 @ SX1 @ SX2 )
| ( sK5_SY312 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK5_SY312 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(61,plain,
( ( ~ ( sK5_SY312 @ sK3_SY243 @ sK4_SY269 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(62,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
| ~ ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(63,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
| ~ ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(64,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
| ~ ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) )
= $false )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(65,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK6_SY306 @ SX0 @ SX1 )
| ~ ( sK6_SY306 @ SX1 @ SX2 )
| ( sK6_SY306 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK6_SY306 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(66,plain,
( ( sK6_SY306 @ sK4_SY269 @ sK3_SY243 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(67,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK5_SY312 @ SX0 @ SX1 )
| ~ ( sK5_SY312 @ SX1 @ SX2 )
| ( sK5_SY312 @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK5_SY312 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(68,plain,
( ( sK5_SY312 @ sK3_SY243 @ sK4_SY269 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(69,plain,
! [SV3: $i > $i > $o] :
( ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
| ~ ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(70,plain,
! [SV3: $i > $i > $o] :
( ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
| ~ ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(71,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) )
= $false )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(72,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) )
= $false )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(73,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK6_SY306 @ SX0 @ SX1 )
| ~ ( sK6_SY306 @ SX1 @ SX2 )
| ( sK6_SY306 @ SX0 @ SX2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(74,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK6_SY306 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(75,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK5_SY312 @ SX0 @ SX1 )
| ~ ( sK5_SY312 @ SX1 @ SX2 )
| ( sK5_SY312 @ SX0 @ SX2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(76,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK5_SY312 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(77,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
| ~ ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) )
= $false )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(78,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
| ~ ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) )
= $false )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(79,plain,
! [SV3: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(80,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(81,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK6_SY306 @ SX0 @ SX1 )
| ~ ( sK6_SY306 @ SX1 @ SX2 )
| ( sK6_SY306 @ SX0 @ SX2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(82,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK6_SY306 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(83,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK5_SY312 @ SX0 @ SX1 )
| ~ ( sK5_SY312 @ SX1 @ SX2 )
| ( sK5_SY312 @ SX0 @ SX2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(84,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( sK2_SY212 @ SX0 @ SX1 )
| ( sK5_SY312 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(85,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) )
= $false )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(86,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) )
= $false )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(87,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) )
= $false )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(88,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) )
= $false )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(89,plain,
! [SV3: $i > $i > $o] :
( ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) ) )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(90,plain,
! [SV3: $i > $i > $o] :
( ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(91,plain,
! [SV4: $i] :
( ( ! [SY337: $i,SY338: $i] :
( ~ ( sK6_SY306 @ SV4 @ SY337 )
| ~ ( sK6_SY306 @ SY337 @ SY338 )
| ( sK6_SY306 @ SV4 @ SY338 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(92,plain,
! [SV5: $i] :
( ( ! [SY339: $i] :
( ~ ( sK2_SY212 @ SV5 @ SY339 )
| ( sK6_SY306 @ SV5 @ SY339 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(93,plain,
! [SV6: $i] :
( ( ! [SY340: $i,SY341: $i] :
( ~ ( sK5_SY312 @ SV6 @ SY340 )
| ~ ( sK5_SY312 @ SY340 @ SY341 )
| ( sK5_SY312 @ SV6 @ SY341 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(94,plain,
! [SV7: $i] :
( ( ! [SY342: $i] :
( ~ ( sK2_SY212 @ SV7 @ SY342 )
| ( sK5_SY312 @ SV7 @ SY342 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(95,plain,
! [SV3: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(96,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(97,plain,
! [SV3: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(98,plain,
! [SV3: $i > $i > $o] :
( ( ( ~ ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) ) )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(99,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK10_SY329 @ SV8 ) )
| ~ ( SV8 @ ( sK10_SY329 @ SV8 ) @ ( sK11_SY331 @ SV8 ) ) )
| ~ ~ ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK11_SY331 @ SV8 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
| ~ ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) )
| ( SV8 @ sK3_SY243 @ sK4_SY269 ) )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(100,plain,
! [SV3: $i > $i > $o] :
( ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) ) )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(101,plain,
! [SV9: $i,SV4: $i] :
( ( ! [SY343: $i] :
( ~ ( sK6_SY306 @ SV4 @ SV9 )
| ~ ( sK6_SY306 @ SV9 @ SY343 )
| ( sK6_SY306 @ SV4 @ SY343 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(102,plain,
! [SV10: $i,SV5: $i] :
( ( ~ ( sK2_SY212 @ SV5 @ SV10 )
| ( sK6_SY306 @ SV5 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(103,plain,
! [SV11: $i,SV6: $i] :
( ( ! [SY344: $i] :
( ~ ( sK5_SY312 @ SV6 @ SV11 )
| ~ ( sK5_SY312 @ SV11 @ SY344 )
| ( sK5_SY312 @ SV6 @ SY344 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(104,plain,
! [SV12: $i,SV7: $i] :
( ( ~ ( sK2_SY212 @ SV7 @ SV12 )
| ( sK5_SY312 @ SV7 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(105,plain,
! [SV3: $i > $i > $o] :
( ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) ) )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(106,plain,
! [SV3: $i > $i > $o] :
( ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(107,plain,
! [SV3: $i > $i > $o] :
( ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) ) )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(108,plain,
! [SV3: $i > $i > $o] :
( ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) )
| ( sK3_SY243 = sK4_SY269 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(109,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK10_SY329 @ SV8 ) )
| ~ ( SV8 @ ( sK10_SY329 @ SV8 ) @ ( sK11_SY331 @ SV8 ) ) )
| ~ ~ ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK11_SY331 @ SV8 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
| ~ ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(110,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK10_SY329 @ SV13 ) )
| ~ ( SV13 @ ( sK10_SY329 @ SV13 ) @ ( sK11_SY331 @ SV13 ) ) )
| ~ ~ ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK11_SY331 @ SV13 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
| ~ ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) )
| ( SV13 @ sK3_SY243 @ sK4_SY269 ) )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(111,plain,
! [SV14: $i,SV9: $i,SV4: $i] :
( ( ~ ( sK6_SY306 @ SV4 @ SV9 )
| ~ ( sK6_SY306 @ SV9 @ SV14 )
| ( sK6_SY306 @ SV4 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(112,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ( sK2_SY212 @ SV5 @ SV10 ) )
= $true )
| ( ( sK6_SY306 @ SV5 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(113,plain,
! [SV15: $i,SV11: $i,SV6: $i] :
( ( ~ ( sK5_SY312 @ SV6 @ SV11 )
| ~ ( sK5_SY312 @ SV11 @ SV15 )
| ( sK5_SY312 @ SV6 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(114,plain,
! [SV12: $i,SV7: $i] :
( ( ( ~ ( sK2_SY212 @ SV7 @ SV12 ) )
= $true )
| ( ( sK5_SY312 @ SV7 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(115,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK10_SY329 @ SV16 ) )
| ~ ( SV16 @ ( sK10_SY329 @ SV16 ) @ ( sK11_SY331 @ SV16 ) ) )
| ~ ~ ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK11_SY331 @ SV16 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
| ~ ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) )
| ( SV16 @ sK3_SY243 @ sK4_SY269 ) )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(116,plain,
! [SV3: $i > $i > $o] :
( ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) ) )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(117,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK10_SY329 @ SV17 ) )
| ~ ( SV17 @ ( sK10_SY329 @ SV17 ) @ ( sK11_SY331 @ SV17 ) ) )
| ~ ~ ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK11_SY331 @ SV17 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
| ~ ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) )
| ( SV17 @ sK3_SY243 @ sK4_SY269 ) )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(118,plain,
! [SV3: $i > $i > $o] :
( ( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK10_SY329 @ SX0 ) )
| ~ ( SX0 @ ( sK10_SY329 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY10 @ SX0 ) @ ( sK11_SY331 @ SX0 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY227 @ SX0 ) @ ( sK8_SY328 @ SX0 ) ) )
| ( SX0 @ sK3_SY243 @ sK4_SY269 ) ) )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(119,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK10_SY329 @ SV8 ) )
| ~ ( SV8 @ ( sK10_SY329 @ SV8 ) @ ( sK11_SY331 @ SV8 ) ) )
| ~ ~ ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK11_SY331 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
| ~ ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(120,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK10_SY329 @ SV13 ) )
| ~ ( SV13 @ ( sK10_SY329 @ SV13 ) @ ( sK11_SY331 @ SV13 ) ) )
| ~ ~ ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK11_SY331 @ SV13 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
| ~ ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(121,plain,
! [SV14: $i,SV9: $i,SV4: $i] :
( ( ( ~ ( sK6_SY306 @ SV4 @ SV9 )
| ~ ( sK6_SY306 @ SV9 @ SV14 ) )
= $true )
| ( ( sK6_SY306 @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(122,plain,
! [SV10: $i,SV5: $i] :
( ( ( sK2_SY212 @ SV5 @ SV10 )
= $false )
| ( ( sK6_SY306 @ SV5 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(123,plain,
! [SV15: $i,SV11: $i,SV6: $i] :
( ( ( ~ ( sK5_SY312 @ SV6 @ SV11 )
| ~ ( sK5_SY312 @ SV11 @ SV15 ) )
= $true )
| ( ( sK5_SY312 @ SV6 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(124,plain,
! [SV12: $i,SV7: $i] :
( ( ( sK2_SY212 @ SV7 @ SV12 )
= $false )
| ( ( sK5_SY312 @ SV7 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(125,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK10_SY329 @ SV16 ) )
| ~ ( SV16 @ ( sK10_SY329 @ SV16 ) @ ( sK11_SY331 @ SV16 ) ) )
| ~ ~ ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK11_SY331 @ SV16 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
| ~ ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(126,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK10_SY329 @ SV18 ) )
| ~ ( SV18 @ ( sK10_SY329 @ SV18 ) @ ( sK11_SY331 @ SV18 ) ) )
| ~ ~ ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK11_SY331 @ SV18 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
| ~ ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) )
| ( SV18 @ sK3_SY243 @ sK4_SY269 ) )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(127,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK10_SY329 @ SV17 ) )
| ~ ( SV17 @ ( sK10_SY329 @ SV17 ) @ ( sK11_SY331 @ SV17 ) ) )
| ~ ~ ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK11_SY331 @ SV17 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
| ~ ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(128,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK10_SY329 @ SV19 ) )
| ~ ( SV19 @ ( sK10_SY329 @ SV19 ) @ ( sK11_SY331 @ SV19 ) ) )
| ~ ~ ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK11_SY331 @ SV19 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
| ~ ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) )
| ( SV19 @ sK3_SY243 @ sK4_SY269 ) )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(129,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK10_SY329 @ SV8 ) )
| ~ ( SV8 @ ( sK10_SY329 @ SV8 ) @ ( sK11_SY331 @ SV8 ) ) )
| ~ ~ ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK11_SY331 @ SV8 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
| ~ ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(130,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK10_SY329 @ SV13 ) )
| ~ ( SV13 @ ( sK10_SY329 @ SV13 ) @ ( sK11_SY331 @ SV13 ) ) )
| ~ ~ ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK11_SY331 @ SV13 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
| ~ ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(131,plain,
! [SV14: $i,SV9: $i,SV4: $i] :
( ( ( ~ ( sK6_SY306 @ SV4 @ SV9 ) )
= $true )
| ( ( ~ ( sK6_SY306 @ SV9 @ SV14 ) )
= $true )
| ( ( sK6_SY306 @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(132,plain,
! [SV15: $i,SV11: $i,SV6: $i] :
( ( ( ~ ( sK5_SY312 @ SV6 @ SV11 ) )
= $true )
| ( ( ~ ( sK5_SY312 @ SV11 @ SV15 ) )
= $true )
| ( ( sK5_SY312 @ SV6 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(133,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK10_SY329 @ SV16 ) )
| ~ ( SV16 @ ( sK10_SY329 @ SV16 ) @ ( sK11_SY331 @ SV16 ) ) )
| ~ ~ ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK11_SY331 @ SV16 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
| ~ ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(134,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK10_SY329 @ SV18 ) )
| ~ ( SV18 @ ( sK10_SY329 @ SV18 ) @ ( sK11_SY331 @ SV18 ) ) )
| ~ ~ ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK11_SY331 @ SV18 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
| ~ ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(135,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK10_SY329 @ SV17 ) )
| ~ ( SV17 @ ( sK10_SY329 @ SV17 ) @ ( sK11_SY331 @ SV17 ) ) )
| ~ ~ ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK11_SY331 @ SV17 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
| ~ ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(136,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK10_SY329 @ SV19 ) )
| ~ ( SV19 @ ( sK10_SY329 @ SV19 ) @ ( sK11_SY331 @ SV19 ) ) )
| ~ ~ ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK11_SY331 @ SV19 ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
| ~ ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(137,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK10_SY329 @ SV8 ) )
| ~ ( SV8 @ ( sK10_SY329 @ SV8 ) @ ( sK11_SY331 @ SV8 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
| ~ ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(138,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ~ ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK11_SY331 @ SV8 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
| ~ ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(139,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK10_SY329 @ SV13 ) )
| ~ ( SV13 @ ( sK10_SY329 @ SV13 ) @ ( sK11_SY331 @ SV13 ) ) )
| ~ ~ ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK11_SY331 @ SV13 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
| ~ ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(140,plain,
! [SV14: $i,SV9: $i,SV4: $i] :
( ( ( sK6_SY306 @ SV4 @ SV9 )
= $false )
| ( ( ~ ( sK6_SY306 @ SV9 @ SV14 ) )
= $true )
| ( ( sK6_SY306 @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(141,plain,
! [SV15: $i,SV11: $i,SV6: $i] :
( ( ( sK5_SY312 @ SV6 @ SV11 )
= $false )
| ( ( ~ ( sK5_SY312 @ SV11 @ SV15 ) )
= $true )
| ( ( sK5_SY312 @ SV6 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(142,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK10_SY329 @ SV16 ) )
| ~ ( SV16 @ ( sK10_SY329 @ SV16 ) @ ( sK11_SY331 @ SV16 ) ) )
| ~ ~ ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK11_SY331 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
| ~ ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(143,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK10_SY329 @ SV18 ) )
| ~ ( SV18 @ ( sK10_SY329 @ SV18 ) @ ( sK11_SY331 @ SV18 ) ) )
| ~ ~ ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK11_SY331 @ SV18 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
| ~ ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(144,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK10_SY329 @ SV17 ) )
| ~ ( SV17 @ ( sK10_SY329 @ SV17 ) @ ( sK11_SY331 @ SV17 ) ) )
| ~ ~ ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK11_SY331 @ SV17 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
| ~ ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(145,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK10_SY329 @ SV19 ) )
| ~ ( SV19 @ ( sK10_SY329 @ SV19 ) @ ( sK11_SY331 @ SV19 ) ) )
| ~ ~ ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK11_SY331 @ SV19 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
| ~ ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(146,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ( ~ ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK10_SY329 @ SV8 ) )
| ~ ( SV8 @ ( sK10_SY329 @ SV8 ) @ ( sK11_SY331 @ SV8 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
| ~ ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(147,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK11_SY331 @ SV8 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
| ~ ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(148,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK10_SY329 @ SV13 ) )
| ~ ( SV13 @ ( sK10_SY329 @ SV13 ) @ ( sK11_SY331 @ SV13 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
| ~ ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(149,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ~ ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK11_SY331 @ SV13 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
| ~ ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(150,plain,
! [SV4: $i,SV14: $i,SV9: $i] :
( ( ( sK6_SY306 @ SV9 @ SV14 )
= $false )
| ( ( sK6_SY306 @ SV4 @ SV9 )
= $false )
| ( ( sK6_SY306 @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(151,plain,
! [SV6: $i,SV15: $i,SV11: $i] :
( ( ( sK5_SY312 @ SV11 @ SV15 )
= $false )
| ( ( sK5_SY312 @ SV6 @ SV11 )
= $false )
| ( ( sK5_SY312 @ SV6 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(152,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK10_SY329 @ SV16 ) )
| ~ ( SV16 @ ( sK10_SY329 @ SV16 ) @ ( sK11_SY331 @ SV16 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
| ~ ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(153,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ~ ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK11_SY331 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
| ~ ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(154,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK10_SY329 @ SV18 ) )
| ~ ( SV18 @ ( sK10_SY329 @ SV18 ) @ ( sK11_SY331 @ SV18 ) ) )
| ~ ~ ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK11_SY331 @ SV18 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
| ~ ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(155,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK10_SY329 @ SV17 ) )
| ~ ( SV17 @ ( sK10_SY329 @ SV17 ) @ ( sK11_SY331 @ SV17 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
| ~ ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(156,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ~ ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK11_SY331 @ SV17 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
| ~ ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(157,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK10_SY329 @ SV19 ) )
| ~ ( SV19 @ ( sK10_SY329 @ SV19 ) @ ( sK11_SY331 @ SV19 ) ) )
| ~ ~ ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK11_SY331 @ SV19 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
| ~ ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(158,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK10_SY329 @ SV8 ) )
| ~ ( SV8 @ ( sK10_SY329 @ SV8 ) @ ( sK11_SY331 @ SV8 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
| ~ ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(159,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK11_SY331 @ SV8 ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
| ~ ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(160,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ( ~ ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK10_SY329 @ SV13 ) )
| ~ ( SV13 @ ( sK10_SY329 @ SV13 ) @ ( sK11_SY331 @ SV13 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
| ~ ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(161,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK11_SY331 @ SV13 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
| ~ ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(162,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK10_SY329 @ SV16 ) )
| ~ ( SV16 @ ( sK10_SY329 @ SV16 ) @ ( sK11_SY331 @ SV16 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
| ~ ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(163,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK11_SY331 @ SV16 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
| ~ ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(164,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK10_SY329 @ SV18 ) )
| ~ ( SV18 @ ( sK10_SY329 @ SV18 ) @ ( sK11_SY331 @ SV18 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
| ~ ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(165,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ~ ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK11_SY331 @ SV18 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
| ~ ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(166,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ( ~ ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK10_SY329 @ SV17 ) )
| ~ ( SV17 @ ( sK10_SY329 @ SV17 ) @ ( sK11_SY331 @ SV17 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
| ~ ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(167,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK11_SY331 @ SV17 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
| ~ ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(168,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK10_SY329 @ SV19 ) )
| ~ ( SV19 @ ( sK10_SY329 @ SV19 ) @ ( sK11_SY331 @ SV19 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
| ~ ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(169,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ~ ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK11_SY331 @ SV19 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
| ~ ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(170,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK10_SY329 @ SV8 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
| ~ ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(171,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ( SV8 @ ( sK10_SY329 @ SV8 ) @ ( sK11_SY331 @ SV8 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
| ~ ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(172,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
| ~ ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) )
= $false )
| ( ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK11_SY331 @ SV8 ) )
= $false )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(173,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK10_SY329 @ SV13 ) )
| ~ ( SV13 @ ( sK10_SY329 @ SV13 ) @ ( sK11_SY331 @ SV13 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
| ~ ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(174,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK11_SY331 @ SV13 ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
| ~ ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(175,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK10_SY329 @ SV16 ) )
| ~ ( SV16 @ ( sK10_SY329 @ SV16 ) @ ( sK11_SY331 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
| ~ ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(176,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK11_SY331 @ SV16 ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
| ~ ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(177,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ( ~ ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK10_SY329 @ SV18 ) )
| ~ ( SV18 @ ( sK10_SY329 @ SV18 ) @ ( sK11_SY331 @ SV18 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
| ~ ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(178,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK11_SY331 @ SV18 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
| ~ ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(179,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK10_SY329 @ SV17 ) )
| ~ ( SV17 @ ( sK10_SY329 @ SV17 ) @ ( sK11_SY331 @ SV17 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
| ~ ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(180,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK11_SY331 @ SV17 ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
| ~ ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(181,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ( ~ ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK10_SY329 @ SV19 ) )
| ~ ( SV19 @ ( sK10_SY329 @ SV19 ) @ ( sK11_SY331 @ SV19 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
| ~ ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(182,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK11_SY331 @ SV19 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
| ~ ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(183,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK10_SY329 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
| ~ ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(184,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK10_SY329 @ SV8 ) @ ( sK11_SY331 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
| ~ ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(185,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) )
= $false )
| ( ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK11_SY331 @ SV8 ) )
= $false )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(186,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) )
= $false )
| ( ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK11_SY331 @ SV8 ) )
= $false )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(187,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK10_SY329 @ SV13 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
| ~ ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(188,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ( SV13 @ ( sK10_SY329 @ SV13 ) @ ( sK11_SY331 @ SV13 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
| ~ ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(189,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
| ~ ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) )
= $false )
| ( ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK11_SY331 @ SV13 ) )
= $false )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(190,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK10_SY329 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
| ~ ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(191,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ( SV16 @ ( sK10_SY329 @ SV16 ) @ ( sK11_SY331 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
| ~ ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(192,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
| ~ ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) )
= $false )
| ( ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK11_SY331 @ SV16 ) )
= $false )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(193,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK10_SY329 @ SV18 ) )
| ~ ( SV18 @ ( sK10_SY329 @ SV18 ) @ ( sK11_SY331 @ SV18 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
| ~ ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(194,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK11_SY331 @ SV18 ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
| ~ ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(195,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK10_SY329 @ SV17 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
| ~ ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[179]) ).
thf(196,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ( SV17 @ ( sK10_SY329 @ SV17 ) @ ( sK11_SY331 @ SV17 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
| ~ ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[179]) ).
thf(197,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
| ~ ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) )
= $false )
| ( ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK11_SY331 @ SV17 ) )
= $false )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(198,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK10_SY329 @ SV19 ) )
| ~ ( SV19 @ ( sK10_SY329 @ SV19 ) @ ( sK11_SY331 @ SV19 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
| ~ ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(199,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK11_SY331 @ SV19 ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
| ~ ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(200,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
| ~ ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) )
= $false )
| ( ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK10_SY329 @ SV8 ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(201,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
| ~ ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) )
= $false )
| ( ( SV8 @ ( sK10_SY329 @ SV8 ) @ ( sK11_SY331 @ SV8 ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(202,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK11_SY331 @ SV8 ) )
= $false )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(203,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) )
= $true )
| ( ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK11_SY331 @ SV8 ) )
= $false )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(204,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK10_SY329 @ SV13 ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
| ~ ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(205,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( SV13 @ ( sK10_SY329 @ SV13 ) @ ( sK11_SY331 @ SV13 ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
| ~ ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(206,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) )
= $false )
| ( ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK11_SY331 @ SV13 ) )
= $false )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(207,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) )
= $false )
| ( ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK11_SY331 @ SV13 ) )
= $false )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(208,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK10_SY329 @ SV16 ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
| ~ ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(209,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( SV16 @ ( sK10_SY329 @ SV16 ) @ ( sK11_SY331 @ SV16 ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
| ~ ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(210,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) )
= $false )
| ( ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK11_SY331 @ SV16 ) )
= $false )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(211,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) )
= $false )
| ( ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK11_SY331 @ SV16 ) )
= $false )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(212,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK10_SY329 @ SV18 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
| ~ ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(213,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ( SV18 @ ( sK10_SY329 @ SV18 ) @ ( sK11_SY331 @ SV18 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
| ~ ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(214,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
| ~ ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) )
= $false )
| ( ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK11_SY331 @ SV18 ) )
= $false )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(215,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK10_SY329 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
| ~ ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(216,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( SV17 @ ( sK10_SY329 @ SV17 ) @ ( sK11_SY331 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
| ~ ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(217,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) )
= $false )
| ( ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK11_SY331 @ SV17 ) )
= $false )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(218,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) )
= $false )
| ( ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK11_SY331 @ SV17 ) )
= $false )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(219,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK10_SY329 @ SV19 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
| ~ ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(220,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ( SV19 @ ( sK10_SY329 @ SV19 ) @ ( sK11_SY331 @ SV19 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
| ~ ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(221,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
| ~ ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) )
= $false )
| ( ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK11_SY331 @ SV19 ) )
= $false )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(222,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) )
= $false )
| ( ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK10_SY329 @ SV8 ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(223,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) )
= $false )
| ( ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK10_SY329 @ SV8 ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(224,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) )
= $false )
| ( ( SV8 @ ( sK10_SY329 @ SV8 ) @ ( sK11_SY331 @ SV8 ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(225,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) )
= $false )
| ( ( SV8 @ ( sK10_SY329 @ SV8 ) @ ( sK11_SY331 @ SV8 ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(226,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK11_SY331 @ SV8 ) )
= $false )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(227,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
| ~ ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) )
= $false )
| ( ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK10_SY329 @ SV13 ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(228,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
| ~ ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) )
= $false )
| ( ( SV13 @ ( sK10_SY329 @ SV13 ) @ ( sK11_SY331 @ SV13 ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(229,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
= $true )
| ( ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK11_SY331 @ SV13 ) )
= $false )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(230,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) )
= $true )
| ( ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK11_SY331 @ SV13 ) )
= $false )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(231,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
| ~ ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) )
= $false )
| ( ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK10_SY329 @ SV16 ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(232,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
| ~ ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) )
= $false )
| ( ( SV16 @ ( sK10_SY329 @ SV16 ) @ ( sK11_SY331 @ SV16 ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(233,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
= $true )
| ( ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK11_SY331 @ SV16 ) )
= $false )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(234,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK11_SY331 @ SV16 ) )
= $false )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(235,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK10_SY329 @ SV18 ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
| ~ ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(236,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( SV18 @ ( sK10_SY329 @ SV18 ) @ ( sK11_SY331 @ SV18 ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
| ~ ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(237,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) )
= $false )
| ( ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK11_SY331 @ SV18 ) )
= $false )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(238,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) )
= $false )
| ( ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK11_SY331 @ SV18 ) )
= $false )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(239,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
| ~ ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) )
= $false )
| ( ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK10_SY329 @ SV17 ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(240,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
| ~ ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) )
= $false )
| ( ( SV17 @ ( sK10_SY329 @ SV17 ) @ ( sK11_SY331 @ SV17 ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(241,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
= $true )
| ( ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK11_SY331 @ SV17 ) )
= $false )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(242,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) )
= $true )
| ( ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK11_SY331 @ SV17 ) )
= $false )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(243,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK10_SY329 @ SV19 ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
| ~ ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(244,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( SV19 @ ( sK10_SY329 @ SV19 ) @ ( sK11_SY331 @ SV19 ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
| ~ ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(245,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) )
= $false )
| ( ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK11_SY331 @ SV19 ) )
= $false )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(246,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) )
= $false )
| ( ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK11_SY331 @ SV19 ) )
= $false )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(247,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK10_SY329 @ SV8 ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(248,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) )
= $true )
| ( ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK10_SY329 @ SV8 ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(249,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK10_SY329 @ SV8 ) @ ( sK11_SY331 @ SV8 ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(250,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( ~ ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) ) )
= $true )
| ( ( SV8 @ ( sK10_SY329 @ SV8 ) @ ( sK11_SY331 @ SV8 ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(251,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) )
= $false )
| ( ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK10_SY329 @ SV13 ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(252,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) )
= $false )
| ( ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK10_SY329 @ SV13 ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(253,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) )
= $false )
| ( ( SV13 @ ( sK10_SY329 @ SV13 ) @ ( sK11_SY331 @ SV13 ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(254,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) )
= $false )
| ( ( SV13 @ ( sK10_SY329 @ SV13 ) @ ( sK11_SY331 @ SV13 ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(255,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
= $false )
| ( ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK11_SY331 @ SV13 ) )
= $false )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(256,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) )
= $false )
| ( ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK10_SY329 @ SV16 ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(257,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) )
= $false )
| ( ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK10_SY329 @ SV16 ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(258,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) )
= $false )
| ( ( SV16 @ ( sK10_SY329 @ SV16 ) @ ( sK11_SY331 @ SV16 ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(259,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) )
= $false )
| ( ( SV16 @ ( sK10_SY329 @ SV16 ) @ ( sK11_SY331 @ SV16 ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(260,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
= $false )
| ( ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK11_SY331 @ SV16 ) )
= $false )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(261,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
| ~ ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) )
= $false )
| ( ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK10_SY329 @ SV18 ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(262,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
| ~ ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) )
= $false )
| ( ( SV18 @ ( sK10_SY329 @ SV18 ) @ ( sK11_SY331 @ SV18 ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(263,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
= $true )
| ( ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK11_SY331 @ SV18 ) )
= $false )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(264,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) )
= $true )
| ( ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK11_SY331 @ SV18 ) )
= $false )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(265,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) )
= $false )
| ( ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK10_SY329 @ SV17 ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(266,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) )
= $false )
| ( ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK10_SY329 @ SV17 ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(267,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) )
= $false )
| ( ( SV17 @ ( sK10_SY329 @ SV17 ) @ ( sK11_SY331 @ SV17 ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(268,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) )
= $false )
| ( ( SV17 @ ( sK10_SY329 @ SV17 ) @ ( sK11_SY331 @ SV17 ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(269,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
= $false )
| ( ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK11_SY331 @ SV17 ) )
= $false )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(270,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
| ~ ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) )
= $false )
| ( ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK10_SY329 @ SV19 ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(271,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
| ~ ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) )
= $false )
| ( ( SV19 @ ( sK10_SY329 @ SV19 ) @ ( sK11_SY331 @ SV19 ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(272,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
= $true )
| ( ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK11_SY331 @ SV19 ) )
= $false )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(273,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) )
= $true )
| ( ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK11_SY331 @ SV19 ) )
= $false )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(274,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK9_SY10 @ SV8 ) @ ( sK10_SY329 @ SV8 ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(275,plain,
! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
( ( ( SV8 @ ( sK7_SY227 @ SV8 ) @ ( sK8_SY328 @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK10_SY329 @ SV8 ) @ ( sK11_SY331 @ SV8 ) )
= $true )
| ( ( SV8 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(276,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
= $true )
| ( ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK10_SY329 @ SV13 ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(277,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) )
= $true )
| ( ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK10_SY329 @ SV13 ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(278,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
= $true )
| ( ( SV13 @ ( sK10_SY329 @ SV13 ) @ ( sK11_SY331 @ SV13 ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(279,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( ~ ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) ) )
= $true )
| ( ( SV13 @ ( sK10_SY329 @ SV13 ) @ ( sK11_SY331 @ SV13 ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(280,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
= $true )
| ( ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK10_SY329 @ SV16 ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(281,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK10_SY329 @ SV16 ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(282,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
= $true )
| ( ( SV16 @ ( sK10_SY329 @ SV16 ) @ ( sK11_SY331 @ SV16 ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(283,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( ~ ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) ) )
= $true )
| ( ( SV16 @ ( sK10_SY329 @ SV16 ) @ ( sK11_SY331 @ SV16 ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(284,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) )
= $false )
| ( ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK10_SY329 @ SV18 ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(285,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) )
= $false )
| ( ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK10_SY329 @ SV18 ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(286,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) )
= $false )
| ( ( SV18 @ ( sK10_SY329 @ SV18 ) @ ( sK11_SY331 @ SV18 ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(287,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) )
= $false )
| ( ( SV18 @ ( sK10_SY329 @ SV18 ) @ ( sK11_SY331 @ SV18 ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(288,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
= $false )
| ( ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK11_SY331 @ SV18 ) )
= $false )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(289,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
= $true )
| ( ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK10_SY329 @ SV17 ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(290,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) )
= $true )
| ( ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK10_SY329 @ SV17 ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(291,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
= $true )
| ( ( SV17 @ ( sK10_SY329 @ SV17 ) @ ( sK11_SY331 @ SV17 ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(292,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( ~ ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) ) )
= $true )
| ( ( SV17 @ ( sK10_SY329 @ SV17 ) @ ( sK11_SY331 @ SV17 ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(293,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) )
= $false )
| ( ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK10_SY329 @ SV19 ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(294,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) )
= $false )
| ( ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK10_SY329 @ SV19 ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(295,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) )
= $false )
| ( ( SV19 @ ( sK10_SY329 @ SV19 ) @ ( sK11_SY331 @ SV19 ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[271]) ).
thf(296,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) )
= $false )
| ( ( SV19 @ ( sK10_SY329 @ SV19 ) @ ( sK11_SY331 @ SV19 ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[271]) ).
thf(297,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
= $false )
| ( ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK11_SY331 @ SV19 ) )
= $false )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(298,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
= $false )
| ( ( SV13 @ ( sK9_SY10 @ SV13 ) @ ( sK10_SY329 @ SV13 ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(299,plain,
! [SV3: $i > $i > $o,SV13: $i > $i > $o] :
( ( ( SV13 @ ( sK7_SY227 @ SV13 ) @ ( sK8_SY328 @ SV13 ) )
= $false )
| ( ( SV13 @ ( sK10_SY329 @ SV13 ) @ ( sK11_SY331 @ SV13 ) )
= $true )
| ( ( SV13 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(300,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
= $false )
| ( ( SV16 @ ( sK9_SY10 @ SV16 ) @ ( sK10_SY329 @ SV16 ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(301,plain,
! [SV3: $i > $i > $o,SV16: $i > $i > $o] :
( ( ( SV16 @ ( sK7_SY227 @ SV16 ) @ ( sK8_SY328 @ SV16 ) )
= $false )
| ( ( SV16 @ ( sK10_SY329 @ SV16 ) @ ( sK11_SY331 @ SV16 ) )
= $true )
| ( ( SV16 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(302,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
= $true )
| ( ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK10_SY329 @ SV18 ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(303,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) )
= $true )
| ( ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK10_SY329 @ SV18 ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(304,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
= $true )
| ( ( SV18 @ ( sK10_SY329 @ SV18 ) @ ( sK11_SY331 @ SV18 ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(305,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( ~ ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) ) )
= $true )
| ( ( SV18 @ ( sK10_SY329 @ SV18 ) @ ( sK11_SY331 @ SV18 ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(306,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
= $false )
| ( ( SV17 @ ( sK9_SY10 @ SV17 ) @ ( sK10_SY329 @ SV17 ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(307,plain,
! [SV3: $i > $i > $o,SV17: $i > $i > $o] :
( ( ( SV17 @ ( sK7_SY227 @ SV17 ) @ ( sK8_SY328 @ SV17 ) )
= $false )
| ( ( SV17 @ ( sK10_SY329 @ SV17 ) @ ( sK11_SY331 @ SV17 ) )
= $true )
| ( ( SV17 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(308,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
= $true )
| ( ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK10_SY329 @ SV19 ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(309,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) )
= $true )
| ( ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK10_SY329 @ SV19 ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(310,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
= $true )
| ( ( SV19 @ ( sK10_SY329 @ SV19 ) @ ( sK11_SY331 @ SV19 ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(311,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( ~ ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) ) )
= $true )
| ( ( SV19 @ ( sK10_SY329 @ SV19 ) @ ( sK11_SY331 @ SV19 ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(312,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
= $false )
| ( ( SV18 @ ( sK9_SY10 @ SV18 ) @ ( sK10_SY329 @ SV18 ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(313,plain,
! [SV3: $i > $i > $o,SV18: $i > $i > $o] :
( ( ( SV18 @ ( sK7_SY227 @ SV18 ) @ ( sK8_SY328 @ SV18 ) )
= $false )
| ( ( SV18 @ ( sK10_SY329 @ SV18 ) @ ( sK11_SY331 @ SV18 ) )
= $true )
| ( ( SV18 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK14_SY10 @ SV3 ) @ ( sK15_SY333 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(314,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
= $false )
| ( ( SV19 @ ( sK9_SY10 @ SV19 ) @ ( sK10_SY329 @ SV19 ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(315,plain,
! [SV3: $i > $i > $o,SV19: $i > $i > $o] :
( ( ( SV19 @ ( sK7_SY227 @ SV19 ) @ ( sK8_SY328 @ SV19 ) )
= $false )
| ( ( SV19 @ ( sK10_SY329 @ SV19 ) @ ( sK11_SY331 @ SV19 ) )
= $true )
| ( ( SV19 @ sK3_SY243 @ sK4_SY269 )
= $true )
| ( ( sK3_SY243 = sK4_SY269 )
= $true )
| ( ( sK4_SY269 = sK3_SY243 )
= $true )
| ( ( SV3 @ sK4_SY269 @ sK3_SY243 )
= $true )
| ( ( SV3 @ ( sK15_SY333 @ SV3 ) @ ( sK16_SY335 @ SV3 ) )
= $true )
| ( ( SV3 @ ( sK12_SY221 @ SV3 ) @ ( sK13_SY332 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(316,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[22,315,314,313,312,310,308,307,306,304,302,301,300,299,298,297,291,289,288,282,280,278,276,275,274,272,269,263,260,255,249,247,241,233,229,226,202,151,150,124,122,68,66,49,47]) ).
thf(317,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[316]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU473^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.21 % Computer : n015.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Oct 6 15:29:03 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 40.57/7.07
% 40.57/7.07 No.of.Axioms: 0
% 40.57/7.07
% 40.57/7.07 Length.of.Defs: 5096
% 40.57/7.07
% 40.57/7.07 Contains.Choice.Funs: false
% 40.57/7.07 .........
% 40.57/7.07
% 40.57/7.07 ********************************
% 40.57/7.07 * All subproblems solved! *
% 40.57/7.07 ********************************
% 40.57/7.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:316,loop_count:0,foatp_calls:1,translation:fof_full)
% 40.57/7.07
% 40.57/7.07 %**** Beginning of derivation protocol ****
% 40.57/7.07 % SZS output start CNFRefutation
% See solution above
% 40.57/7.07
% 40.57/7.07 %**** End of derivation protocol ****
% 40.57/7.07 %**** no. of clauses in derivation: 317 ****
% 40.57/7.07 %**** clause counter: 316 ****
% 40.57/7.07
% 40.57/7.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:316,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------