%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU496^1 : 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 : n019.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 10:44:36 AM UTC 2026
% Result : Theorem 0.51s 0.29s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 30
% Syntax : Number of formulae : 264 ( 101 unt; 0 typ; 29 def)
% Number of atoms : 1518 ( 561 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 4894 ( 962 ~; 776 |; 88 &;2936 @)
% ( 0 <=>; 132 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 503 ( 503 >; 0 *; 0 +; 0 <<)
% Number of symbols : 75 ( 72 usr; 7 con; 0-3 aty)
% Number of variables : 1111 ( 43 ^;1063 !; 5 ?;1111 :)
% 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_SY200,type,
sK10_SY200: ( $i > $i > $o ) > $i ).
thf(tp_sK11_SY205,type,
sK11_SY205: ( $i > $i > $o ) > $i ).
thf(tp_sK12_SY213,type,
sK12_SY213: ( $i > $i > $o ) > $i ).
thf(tp_sK13_SY214,type,
sK13_SY214: ( $i > $i > $o ) > $i ).
thf(tp_sK14_SY200,type,
sK14_SY200: ( $i > $i > $o ) > $i ).
thf(tp_sK15_SY200,type,
sK15_SY200: ( $i > $i > $o ) > $i ).
thf(tp_sK16_SY205,type,
sK16_SY205: ( $i > $i > $o ) > $i ).
thf(tp_sK17_SY205,type,
sK17_SY205: ( $i > $i > $o ) > $i ).
thf(tp_sK18_SY215,type,
sK18_SY215: ( $i > $i > $o ) > $i ).
thf(tp_sK19_SY216,type,
sK19_SY216: ( $i > $i > $o ) > $i ).
thf(tp_sK1_SY0,type,
sK1_SY0: $i > $i > $o ).
thf(tp_sK20_SY217,type,
sK20_SY217: ( $i > $i > $o ) > $i ).
thf(tp_sK21_SY218,type,
sK21_SY218: ( $i > $i > $o ) > $i ).
thf(tp_sK22_SX0,type,
sK22_SX0: $i ).
thf(tp_sK23_SY222,type,
sK23_SY222: $i ).
thf(tp_sK24_SY243,type,
sK24_SY243: $i ).
thf(tp_sK25_SY274,type,
sK25_SY274: $i > $i > $o ).
thf(tp_sK26_SY285,type,
sK26_SY285: ( $i > $i > $o ) > $i ).
thf(tp_sK27_SY290,type,
sK27_SY290: ( $i > $i > $o ) > $i ).
thf(tp_sK28_SY299,type,
sK28_SY299: ( $i > $i > $o ) > $i ).
thf(tp_sK29_SY301,type,
sK29_SY301: ( $i > $i > $o ) > $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK30_SY303,type,
sK30_SY303: ( $i > $i > $o ) > $i ).
thf(tp_sK31_SY304,type,
sK31_SY304: ( $i > $i > $o ) > $i ).
thf(tp_sK32_SY288,type,
sK32_SY288: ( $i > $i > $o ) > $i ).
thf(tp_sK33_SY293,type,
sK33_SY293: ( $i > $i > $o ) > $i ).
thf(tp_sK34_SY305,type,
sK34_SY305: ( $i > $i > $o ) > $i ).
thf(tp_sK35_SY306,type,
sK35_SY306: ( $i > $i > $o ) > $i ).
thf(tp_sK36_SY288,type,
sK36_SY288: ( $i > $i > $o ) > $i ).
thf(tp_sK37_SY288,type,
sK37_SY288: ( $i > $i > $o ) > $i ).
thf(tp_sK38_SY293,type,
sK38_SY293: ( $i > $i > $o ) > $i ).
thf(tp_sK39_SY293,type,
sK39_SY293: ( $i > $i > $o ) > $i ).
thf(tp_sK3_SY171,type,
sK3_SY171: $i ).
thf(tp_sK40_SY307,type,
sK40_SY307: ( $i > $i > $o ) > $i ).
thf(tp_sK41_SY308,type,
sK41_SY308: ( $i > $i > $o ) > $i ).
thf(tp_sK42_SY309,type,
sK42_SY309: ( $i > $i > $o ) > $i ).
thf(tp_sK43_SY310,type,
sK43_SY310: ( $i > $i > $o ) > $i ).
thf(tp_sK4_SY197,type,
sK4_SY197: ( $i > $i > $o ) > $i ).
thf(tp_sK5_SY202,type,
sK5_SY202: ( $i > $i > $o ) > $i ).
thf(tp_sK6_SY207,type,
sK6_SY207: ( $i > $i > $o ) > $i ).
thf(tp_sK7_SY209,type,
sK7_SY209: ( $i > $i > $o ) > $i ).
thf(tp_sK8_SY211,type,
sK8_SY211: ( $i > $i > $o ) > $i ).
thf(tp_sK9_SY212,type,
sK9_SY212: ( $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,
! [R: $i > $i > $o] :
( ( so @ R )
=> ( so @ ( tc @ R ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_closure_of_strict_order_is_strict_order) ).
thf(2,negated_conjecture,
( ( ! [R: $i > $i > $o] :
( ( so @ R )
=> ( so @ ( tc @ R ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [SY0: $i > $i > $o] :
( ( ! [SY1: $i,SY2: $i] :
( ( SY0 @ SY1 @ SY2 )
=> ~ ( SY0 @ SY2 @ SY1 ) )
& ! [SY3: $i,SY4: $i,SY5: $i] :
( ( ( SY0 @ SY3 @ SY4 )
& ( SY0 @ SY4 @ SY5 ) )
=> ( SY0 @ SY3 @ SY5 ) ) )
=> ( ! [SY17: $i,SY18: $i] :
( ! [SY26: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY26 @ SY9 @ SY10 )
& ( SY26 @ SY10 @ SY11 ) )
=> ( SY26 @ SY9 @ SY11 ) )
& ! [SY15: $i,SY16: $i] :
( ( SY0 @ SY15 @ SY16 )
=> ( SY26 @ SY15 @ SY16 ) ) )
=> ( SY26 @ SY17 @ SY18 ) )
=> ~ ! [SY39: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY39 @ SY9 @ SY10 )
& ( SY39 @ SY10 @ SY11 ) )
=> ( SY39 @ SY9 @ SY11 ) )
& ! [SY15: $i,SY16: $i] :
( ( SY0 @ SY15 @ SY16 )
=> ( SY39 @ SY15 @ SY16 ) ) )
=> ( SY39 @ SY18 @ SY17 ) ) )
& ! [SY45: $i,SY46: $i,SY47: $i] :
( ( ! [SY55: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY55 @ SY9 @ SY10 )
& ( SY55 @ SY10 @ SY11 ) )
=> ( SY55 @ SY9 @ SY11 ) )
& ! [SY15: $i,SY16: $i] :
( ( SY0 @ SY15 @ SY16 )
=> ( SY55 @ SY15 @ SY16 ) ) )
=> ( SY55 @ SY45 @ SY46 ) )
& ! [SY68: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY68 @ SY9 @ SY10 )
& ( SY68 @ SY10 @ SY11 ) )
=> ( SY68 @ SY9 @ SY11 ) )
& ! [SY15: $i,SY16: $i] :
( ( SY0 @ SY15 @ SY16 )
=> ( SY68 @ SY15 @ SY16 ) ) )
=> ( SY68 @ SY46 @ SY47 ) ) )
=> ! [SY81: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY81 @ SY9 @ SY10 )
& ( SY81 @ SY10 @ SY11 ) )
=> ( SY81 @ SY9 @ SY11 ) )
& ! [SY15: $i,SY16: $i] :
( ( SY0 @ SY15 @ SY16 )
=> ( SY81 @ SY15 @ SY16 ) ) )
=> ( SY81 @ SY45 @ SY47 ) ) ) ) ) )
= $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,
( ( ( ! [SY128: $i,SY129: $i] :
( ( sK1_SY0 @ SY128 @ SY129 )
=> ~ ( sK1_SY0 @ SY129 @ SY128 ) )
& ! [SY130: $i,SY131: $i,SY132: $i] :
( ( ( sK1_SY0 @ SY130 @ SY131 )
& ( sK1_SY0 @ SY131 @ SY132 ) )
=> ( sK1_SY0 @ SY130 @ SY132 ) ) )
=> ( ! [SY133: $i,SY134: $i] :
( ! [SY135: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY135 @ SY9 @ SY10 )
& ( SY135 @ SY10 @ SY11 ) )
=> ( SY135 @ SY9 @ SY11 ) )
& ! [SY139: $i,SY140: $i] :
( ( sK1_SY0 @ SY139 @ SY140 )
=> ( SY135 @ SY139 @ SY140 ) ) )
=> ( SY135 @ SY133 @ SY134 ) )
=> ~ ! [SY141: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY141 @ SY9 @ SY10 )
& ( SY141 @ SY10 @ SY11 ) )
=> ( SY141 @ SY9 @ SY11 ) )
& ! [SY145: $i,SY146: $i] :
( ( sK1_SY0 @ SY145 @ SY146 )
=> ( SY141 @ SY145 @ SY146 ) ) )
=> ( SY141 @ SY134 @ SY133 ) ) )
& ! [SY147: $i,SY148: $i,SY149: $i] :
( ( ! [SY150: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY150 @ SY9 @ SY10 )
& ( SY150 @ SY10 @ SY11 ) )
=> ( SY150 @ SY9 @ SY11 ) )
& ! [SY154: $i,SY155: $i] :
( ( sK1_SY0 @ SY154 @ SY155 )
=> ( SY150 @ SY154 @ SY155 ) ) )
=> ( SY150 @ SY147 @ SY148 ) )
& ! [SY156: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY156 @ SY9 @ SY10 )
& ( SY156 @ SY10 @ SY11 ) )
=> ( SY156 @ SY9 @ SY11 ) )
& ! [SY160: $i,SY161: $i] :
( ( sK1_SY0 @ SY160 @ SY161 )
=> ( SY156 @ SY160 @ SY161 ) ) )
=> ( SY156 @ SY148 @ SY149 ) ) )
=> ! [SY162: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY162 @ SY9 @ SY10 )
& ( SY162 @ SY10 @ SY11 ) )
=> ( SY162 @ SY9 @ SY11 ) )
& ! [SY166: $i,SY167: $i] :
( ( sK1_SY0 @ SY166 @ SY167 )
=> ( SY162 @ SY166 @ SY167 ) ) )
=> ( SY162 @ SY147 @ SY149 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY128: $i,SY129: $i] :
( ( sK1_SY0 @ SY128 @ SY129 )
=> ~ ( sK1_SY0 @ SY129 @ SY128 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [SY130: $i,SY131: $i,SY132: $i] :
( ( ( sK1_SY0 @ SY130 @ SY131 )
& ( sK1_SY0 @ SY131 @ SY132 ) )
=> ( sK1_SY0 @ SY130 @ SY132 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(7,plain,
( ( ! [SY133: $i,SY134: $i] :
( ! [SY135: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY135 @ SY9 @ SY10 )
& ( SY135 @ SY10 @ SY11 ) )
=> ( SY135 @ SY9 @ SY11 ) )
& ! [SY139: $i,SY140: $i] :
( ( sK1_SY0 @ SY139 @ SY140 )
=> ( SY135 @ SY139 @ SY140 ) ) )
=> ( SY135 @ SY133 @ SY134 ) )
=> ~ ! [SY141: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY141 @ SY9 @ SY10 )
& ( SY141 @ SY10 @ SY11 ) )
=> ( SY141 @ SY9 @ SY11 ) )
& ! [SY145: $i,SY146: $i] :
( ( sK1_SY0 @ SY145 @ SY146 )
=> ( SY141 @ SY145 @ SY146 ) ) )
=> ( SY141 @ SY134 @ SY133 ) ) )
& ! [SY147: $i,SY148: $i,SY149: $i] :
( ( ! [SY150: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY150 @ SY9 @ SY10 )
& ( SY150 @ SY10 @ SY11 ) )
=> ( SY150 @ SY9 @ SY11 ) )
& ! [SY154: $i,SY155: $i] :
( ( sK1_SY0 @ SY154 @ SY155 )
=> ( SY150 @ SY154 @ SY155 ) ) )
=> ( SY150 @ SY147 @ SY148 ) )
& ! [SY156: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY156 @ SY9 @ SY10 )
& ( SY156 @ SY10 @ SY11 ) )
=> ( SY156 @ SY9 @ SY11 ) )
& ! [SY160: $i,SY161: $i] :
( ( sK1_SY0 @ SY160 @ SY161 )
=> ( SY156 @ SY160 @ SY161 ) ) )
=> ( SY156 @ SY148 @ SY149 ) ) )
=> ! [SY162: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY162 @ SY9 @ SY10 )
& ( SY162 @ SY10 @ SY11 ) )
=> ( SY162 @ SY9 @ SY11 ) )
& ! [SY166: $i,SY167: $i] :
( ( sK1_SY0 @ SY166 @ SY167 )
=> ( SY162 @ SY166 @ SY167 ) ) )
=> ( SY162 @ SY147 @ SY149 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(8,plain,
( ( ! [SY133: $i,SY134: $i] :
( ! [SY135: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY135 @ SY9 @ SY10 )
& ( SY135 @ SY10 @ SY11 ) )
=> ( SY135 @ SY9 @ SY11 ) )
& ! [SY139: $i,SY140: $i] :
( ( sK1_SY0 @ SY139 @ SY140 )
=> ( SY135 @ SY139 @ SY140 ) ) )
=> ( SY135 @ SY133 @ SY134 ) )
=> ~ ! [SY141: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY141 @ SY9 @ SY10 )
& ( SY141 @ SY10 @ SY11 ) )
=> ( SY141 @ SY9 @ SY11 ) )
& ! [SY145: $i,SY146: $i] :
( ( sK1_SY0 @ SY145 @ SY146 )
=> ( SY141 @ SY145 @ SY146 ) ) )
=> ( SY141 @ SY134 @ SY133 ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[7]) ).
thf(9,plain,
( ( ! [SY147: $i,SY148: $i,SY149: $i] :
( ( ! [SY150: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY150 @ SY9 @ SY10 )
& ( SY150 @ SY10 @ SY11 ) )
=> ( SY150 @ SY9 @ SY11 ) )
& ! [SY154: $i,SY155: $i] :
( ( sK1_SY0 @ SY154 @ SY155 )
=> ( SY150 @ SY154 @ SY155 ) ) )
=> ( SY150 @ SY147 @ SY148 ) )
& ! [SY156: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY156 @ SY9 @ SY10 )
& ( SY156 @ SY10 @ SY11 ) )
=> ( SY156 @ SY9 @ SY11 ) )
& ! [SY160: $i,SY161: $i] :
( ( sK1_SY0 @ SY160 @ SY161 )
=> ( SY156 @ SY160 @ SY161 ) ) )
=> ( SY156 @ SY148 @ SY149 ) ) )
=> ! [SY162: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY162 @ SY9 @ SY10 )
& ( SY162 @ SY10 @ SY11 ) )
=> ( SY162 @ SY9 @ SY11 ) )
& ! [SY166: $i,SY167: $i] :
( ( sK1_SY0 @ SY166 @ SY167 )
=> ( SY162 @ SY166 @ SY167 ) ) )
=> ( SY162 @ SY147 @ SY149 ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[7]) ).
thf(10,plain,
( ( ~ ! [SY133: $i,SY134: $i] :
( ! [SY135: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY135 @ SY9 @ SY10 )
& ( SY135 @ SY10 @ SY11 ) )
=> ( SY135 @ SY9 @ SY11 ) )
& ! [SY139: $i,SY140: $i] :
( ( sK1_SY0 @ SY139 @ SY140 )
=> ( SY135 @ SY139 @ SY140 ) ) )
=> ( SY135 @ SY133 @ SY134 ) )
=> ~ ! [SY141: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY141 @ SY9 @ SY10 )
& ( SY141 @ SY10 @ SY11 ) )
=> ( SY141 @ SY9 @ SY11 ) )
& ! [SY145: $i,SY146: $i] :
( ( sK1_SY0 @ SY145 @ SY146 )
=> ( SY141 @ SY145 @ SY146 ) ) )
=> ( SY141 @ SY134 @ SY133 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ! [SY147: $i,SY148: $i,SY149: $i] :
( ( ! [SY150: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY150 @ SY9 @ SY10 )
& ( SY150 @ SY10 @ SY11 ) )
=> ( SY150 @ SY9 @ SY11 ) )
& ! [SY154: $i,SY155: $i] :
( ( sK1_SY0 @ SY154 @ SY155 )
=> ( SY150 @ SY154 @ SY155 ) ) )
=> ( SY150 @ SY147 @ SY148 ) )
& ! [SY156: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY156 @ SY9 @ SY10 )
& ( SY156 @ SY10 @ SY11 ) )
=> ( SY156 @ SY9 @ SY11 ) )
& ! [SY160: $i,SY161: $i] :
( ( sK1_SY0 @ SY160 @ SY161 )
=> ( SY156 @ SY160 @ SY161 ) ) )
=> ( SY156 @ SY148 @ SY149 ) ) )
=> ! [SY162: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY162 @ SY9 @ SY10 )
& ( SY162 @ SY10 @ SY11 ) )
=> ( SY162 @ SY9 @ SY11 ) )
& ! [SY166: $i,SY167: $i] :
( ( sK1_SY0 @ SY166 @ SY167 )
=> ( SY162 @ SY166 @ SY167 ) ) )
=> ( SY162 @ SY147 @ SY149 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(12,plain,
( ( ! [SY130: $i,SY131: $i,SY132: $i] :
( ( ( sK1_SY0 @ SY130 @ SY131 )
& ( sK1_SY0 @ SY131 @ SY132 ) )
=> ( sK1_SY0 @ SY130 @ SY132 ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(13,plain,
( ( ! [SY128: $i,SY129: $i] :
( ( sK1_SY0 @ SY128 @ SY129 )
=> ~ ( sK1_SY0 @ SY129 @ SY128 ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(14,plain,
( ( ~ ! [SY133: $i,SY134: $i] :
( ! [SY135: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY135 @ SY9 @ SY10 )
& ( SY135 @ SY10 @ SY11 ) )
=> ( SY135 @ SY9 @ SY11 ) )
& ! [SY139: $i,SY140: $i] :
( ( sK1_SY0 @ SY139 @ SY140 )
=> ( SY135 @ SY139 @ SY140 ) ) )
=> ( SY135 @ SY133 @ SY134 ) )
=> ~ ! [SY141: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY141 @ SY9 @ SY10 )
& ( SY141 @ SY10 @ SY11 ) )
=> ( SY141 @ SY9 @ SY11 ) )
& ! [SY145: $i,SY146: $i] :
( ( sK1_SY0 @ SY145 @ SY146 )
=> ( SY141 @ SY145 @ SY146 ) ) )
=> ( SY141 @ SY134 @ SY133 ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(15,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ! [SX2: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SX2 @ SX3 @ SX4 )
| ~ ( SX2 @ SX4 @ SX5 ) )
| ( SX2 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SX2 @ SX3 @ SX4 ) ) )
| ( SX2 @ SX0 @ SX1 ) )
| ~ ! [SX2: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SX2 @ SX3 @ SX4 )
| ~ ( SX2 @ SX4 @ SX5 ) )
| ( SX2 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SX2 @ SX3 @ SX4 ) ) )
| ( SX2 @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14,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(16,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( sK1_SY0 @ SX0 @ SX1 )
| ~ ( sK1_SY0 @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,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(17,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_SY0 @ SX0 @ SX1 )
| ~ ( sK1_SY0 @ SX1 @ SX2 ) )
| ( sK1_SY0 @ SX0 @ SX2 ) ) )
= $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(18,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ! [SX2: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SX2 @ SX3 @ SX4 )
| ~ ( SX2 @ SX4 @ SX5 ) )
| ( SX2 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SX2 @ SX3 @ SX4 ) ) )
| ( SX2 @ SX0 @ SX1 ) )
| ~ ! [SX2: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SX2 @ SX3 @ SX4 )
| ~ ( SX2 @ SX4 @ SX5 ) )
| ( SX2 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SX2 @ SX3 @ SX4 ) ) )
| ( SX2 @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(19,plain,
! [SV1: $i] :
( ( ! [SY168: $i] :
( ~ ( sK1_SY0 @ SV1 @ SY168 )
| ~ ( sK1_SY0 @ SY168 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(20,plain,
! [SV2: $i] :
( ( ! [SY169: $i,SY170: $i] :
( ~ ~ ( ~ ( sK1_SY0 @ SV2 @ SY169 )
| ~ ( sK1_SY0 @ SY169 @ SY170 ) )
| ( sK1_SY0 @ SV2 @ SY170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(21,plain,
( ( ! [SY171: $i] :
( ~ ! [SY172: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY172 @ SX3 @ SX4 )
| ~ ( SY172 @ SX4 @ SX5 ) )
| ( SY172 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY172 @ SX3 @ SX4 ) ) )
| ( SY172 @ sK2_SX0 @ SY171 ) )
| ~ ! [SY178: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY178 @ SX3 @ SX4 )
| ~ ( SY178 @ SX4 @ SX5 ) )
| ( SY178 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY178 @ SX3 @ SX4 ) ) )
| ( SY178 @ SY171 @ sK2_SX0 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[18]) ).
thf(22,plain,
! [SV3: $i,SV1: $i] :
( ( ~ ( sK1_SY0 @ SV1 @ SV3 )
| ~ ( sK1_SY0 @ SV3 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(23,plain,
! [SV4: $i,SV2: $i] :
( ( ! [SY184: $i] :
( ~ ~ ( ~ ( sK1_SY0 @ SV2 @ SV4 )
| ~ ( sK1_SY0 @ SV4 @ SY184 ) )
| ( sK1_SY0 @ SV2 @ SY184 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(24,plain,
( ( ~ ! [SY185: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY185 @ SX3 @ SX4 )
| ~ ( SY185 @ SX4 @ SX5 ) )
| ( SY185 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY185 @ SX3 @ SX4 ) ) )
| ( SY185 @ sK2_SX0 @ sK3_SY171 ) )
| ~ ! [SY191: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY191 @ SX3 @ SX4 )
| ~ ( SY191 @ SX4 @ SX5 ) )
| ( SY191 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY191 @ SX3 @ SX4 ) ) )
| ( SY191 @ sK3_SY171 @ sK2_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[21]) ).
thf(25,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ( sK1_SY0 @ SV1 @ SV3 ) )
= $true )
| ( ( ~ ( sK1_SY0 @ SV3 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV5: $i,SV4: $i,SV2: $i] :
( ( ~ ~ ( ~ ( sK1_SY0 @ SV2 @ SV4 )
| ~ ( sK1_SY0 @ SV4 @ SV5 ) )
| ( sK1_SY0 @ SV2 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(27,plain,
( ( ~ ! [SY185: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY185 @ SX3 @ SX4 )
| ~ ( SY185 @ SX4 @ SX5 ) )
| ( SY185 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY185 @ SX3 @ SX4 ) ) )
| ( SY185 @ sK2_SX0 @ sK3_SY171 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ! [SY191: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY191 @ SX3 @ SX4 )
| ~ ( SY191 @ SX4 @ SX5 ) )
| ( SY191 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY191 @ SX3 @ SX4 ) ) )
| ( SY191 @ sK3_SY171 @ sK2_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(29,plain,
! [SV3: $i,SV1: $i] :
( ( ( sK1_SY0 @ SV1 @ SV3 )
= $false )
| ( ( ~ ( sK1_SY0 @ SV3 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(30,plain,
! [SV5: $i,SV4: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( sK1_SY0 @ SV2 @ SV4 )
| ~ ( sK1_SY0 @ SV4 @ SV5 ) ) )
= $true )
| ( ( sK1_SY0 @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(31,plain,
( ( ! [SY185: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY185 @ SX3 @ SX4 )
| ~ ( SY185 @ SX4 @ SX5 ) )
| ( SY185 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY185 @ SX3 @ SX4 ) ) )
| ( SY185 @ sK2_SX0 @ sK3_SY171 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(32,plain,
( ( ! [SY191: $i > $i > $o] :
( ~ ~ ( ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( SY191 @ SX3 @ SX4 )
| ~ ( SY191 @ SX4 @ SX5 ) )
| ( SY191 @ SX3 @ SX5 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( sK1_SY0 @ SX3 @ SX4 )
| ( SY191 @ SX3 @ SX4 ) ) )
| ( SY191 @ sK3_SY171 @ sK2_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(33,plain,
! [SV1: $i,SV3: $i] :
( ( ( sK1_SY0 @ SV3 @ SV1 )
= $false )
| ( ( sK1_SY0 @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(34,plain,
! [SV5: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( ~ ( sK1_SY0 @ SV2 @ SV4 )
| ~ ( sK1_SY0 @ SV4 @ SV5 ) ) )
= $false )
| ( ( sK1_SY0 @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(35,plain,
! [SV6: $i > $i > $o] :
( ( ~ ~ ( ~ ! [SY197: $i,SY198: $i,SY199: $i] :
( ~ ~ ( ~ ( SV6 @ SY197 @ SY198 )
| ~ ( SV6 @ SY198 @ SY199 ) )
| ( SV6 @ SY197 @ SY199 ) )
| ~ ! [SY200: $i,SY201: $i] :
( ~ ( sK1_SY0 @ SY200 @ SY201 )
| ( SV6 @ SY200 @ SY201 ) ) )
| ( SV6 @ sK2_SX0 @ sK3_SY171 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(36,plain,
! [SV7: $i > $i > $o] :
( ( ~ ~ ( ~ ! [SY202: $i,SY203: $i,SY204: $i] :
( ~ ~ ( ~ ( SV7 @ SY202 @ SY203 )
| ~ ( SV7 @ SY203 @ SY204 ) )
| ( SV7 @ SY202 @ SY204 ) )
| ~ ! [SY205: $i,SY206: $i] :
( ~ ( sK1_SY0 @ SY205 @ SY206 )
| ( SV7 @ SY205 @ SY206 ) ) )
| ( SV7 @ sK3_SY171 @ sK2_SX0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(37,plain,
! [SV5: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ SV2 @ SV4 )
| ~ ( sK1_SY0 @ SV4 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(38,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY197: $i,SY198: $i,SY199: $i] :
( ~ ~ ( ~ ( SV6 @ SY197 @ SY198 )
| ~ ( SV6 @ SY198 @ SY199 ) )
| ( SV6 @ SY197 @ SY199 ) )
| ~ ! [SY200: $i,SY201: $i] :
( ~ ( sK1_SY0 @ SY200 @ SY201 )
| ( SV6 @ SY200 @ SY201 ) ) ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(39,plain,
! [SV7: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY202: $i,SY203: $i,SY204: $i] :
( ~ ~ ( ~ ( SV7 @ SY202 @ SY203 )
| ~ ( SV7 @ SY203 @ SY204 ) )
| ( SV7 @ SY202 @ SY204 ) )
| ~ ! [SY205: $i,SY206: $i] :
( ~ ( sK1_SY0 @ SY205 @ SY206 )
| ( SV7 @ SY205 @ SY206 ) ) ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(40,plain,
! [SV5: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( sK1_SY0 @ SV2 @ SV4 ) )
= $true )
| ( ( ~ ( sK1_SY0 @ SV4 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(41,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ~ ! [SY197: $i,SY198: $i,SY199: $i] :
( ~ ~ ( ~ ( SV6 @ SY197 @ SY198 )
| ~ ( SV6 @ SY198 @ SY199 ) )
| ( SV6 @ SY197 @ SY199 ) )
| ~ ! [SY200: $i,SY201: $i] :
( ~ ( sK1_SY0 @ SY200 @ SY201 )
| ( SV6 @ SY200 @ SY201 ) ) ) )
= $false )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(42,plain,
! [SV7: $i > $i > $o] :
( ( ( ~ ( ~ ! [SY202: $i,SY203: $i,SY204: $i] :
( ~ ~ ( ~ ( SV7 @ SY202 @ SY203 )
| ~ ( SV7 @ SY203 @ SY204 ) )
| ( SV7 @ SY202 @ SY204 ) )
| ~ ! [SY205: $i,SY206: $i] :
( ~ ( sK1_SY0 @ SY205 @ SY206 )
| ( SV7 @ SY205 @ SY206 ) ) ) )
= $false )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(43,plain,
! [SV5: $i,SV4: $i,SV2: $i] :
( ( ( sK1_SY0 @ SV2 @ SV4 )
= $false )
| ( ( ~ ( sK1_SY0 @ SV4 @ SV5 ) )
= $true )
| ( ( sK1_SY0 @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(44,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY197: $i,SY198: $i,SY199: $i] :
( ~ ~ ( ~ ( SV6 @ SY197 @ SY198 )
| ~ ( SV6 @ SY198 @ SY199 ) )
| ( SV6 @ SY197 @ SY199 ) )
| ~ ! [SY200: $i,SY201: $i] :
( ~ ( sK1_SY0 @ SY200 @ SY201 )
| ( SV6 @ SY200 @ SY201 ) ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(45,plain,
! [SV7: $i > $i > $o] :
( ( ( ~ ! [SY202: $i,SY203: $i,SY204: $i] :
( ~ ~ ( ~ ( SV7 @ SY202 @ SY203 )
| ~ ( SV7 @ SY203 @ SY204 ) )
| ( SV7 @ SY202 @ SY204 ) )
| ~ ! [SY205: $i,SY206: $i] :
( ~ ( sK1_SY0 @ SY205 @ SY206 )
| ( SV7 @ SY205 @ SY206 ) ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(46,plain,
! [SV2: $i,SV5: $i,SV4: $i] :
( ( ( sK1_SY0 @ SV4 @ SV5 )
= $false )
| ( ( sK1_SY0 @ SV2 @ SV4 )
= $false )
| ( ( sK1_SY0 @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(47,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY197: $i,SY198: $i,SY199: $i] :
( ~ ~ ( ~ ( SV6 @ SY197 @ SY198 )
| ~ ( SV6 @ SY198 @ SY199 ) )
| ( SV6 @ SY197 @ SY199 ) ) )
= $true )
| ( ( ~ ! [SY200: $i,SY201: $i] :
( ~ ( sK1_SY0 @ SY200 @ SY201 )
| ( SV6 @ SY200 @ SY201 ) ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(48,plain,
! [SV7: $i > $i > $o] :
( ( ( ~ ! [SY202: $i,SY203: $i,SY204: $i] :
( ~ ~ ( ~ ( SV7 @ SY202 @ SY203 )
| ~ ( SV7 @ SY203 @ SY204 ) )
| ( SV7 @ SY202 @ SY204 ) ) )
= $true )
| ( ( ~ ! [SY205: $i,SY206: $i] :
( ~ ( sK1_SY0 @ SY205 @ SY206 )
| ( SV7 @ SY205 @ SY206 ) ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(49,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY197: $i,SY198: $i,SY199: $i] :
( ~ ~ ( ~ ( SV6 @ SY197 @ SY198 )
| ~ ( SV6 @ SY198 @ SY199 ) )
| ( SV6 @ SY197 @ SY199 ) ) )
= $false )
| ( ( ~ ! [SY200: $i,SY201: $i] :
( ~ ( sK1_SY0 @ SY200 @ SY201 )
| ( SV6 @ SY200 @ SY201 ) ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(50,plain,
! [SV7: $i > $i > $o] :
( ( ( ! [SY202: $i,SY203: $i,SY204: $i] :
( ~ ~ ( ~ ( SV7 @ SY202 @ SY203 )
| ~ ( SV7 @ SY203 @ SY204 ) )
| ( SV7 @ SY202 @ SY204 ) ) )
= $false )
| ( ( ~ ! [SY205: $i,SY206: $i] :
( ~ ( sK1_SY0 @ SY205 @ SY206 )
| ( SV7 @ SY205 @ SY206 ) ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(51,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY207: $i,SY208: $i] :
( ~ ~ ( ~ ( SV6 @ ( sK4_SY197 @ SV6 ) @ SY207 )
| ~ ( SV6 @ SY207 @ SY208 ) )
| ( SV6 @ ( sK4_SY197 @ SV6 ) @ SY208 ) ) )
= $false )
| ( ( ~ ! [SY200: $i,SY201: $i] :
( ~ ( sK1_SY0 @ SY200 @ SY201 )
| ( SV6 @ SY200 @ SY201 ) ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[49]) ).
thf(52,plain,
! [SV7: $i > $i > $o] :
( ( ( ! [SY209: $i,SY210: $i] :
( ~ ~ ( ~ ( SV7 @ ( sK5_SY202 @ SV7 ) @ SY209 )
| ~ ( SV7 @ SY209 @ SY210 ) )
| ( SV7 @ ( sK5_SY202 @ SV7 ) @ SY210 ) ) )
= $false )
| ( ( ~ ! [SY205: $i,SY206: $i] :
( ~ ( sK1_SY0 @ SY205 @ SY206 )
| ( SV7 @ SY205 @ SY206 ) ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[50]) ).
thf(53,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY211: $i] :
( ~ ~ ( ~ ( SV6 @ ( sK4_SY197 @ SV6 ) @ ( sK6_SY207 @ SV6 ) )
| ~ ( SV6 @ ( sK6_SY207 @ SV6 ) @ SY211 ) )
| ( SV6 @ ( sK4_SY197 @ SV6 ) @ SY211 ) ) )
= $false )
| ( ( ~ ! [SY200: $i,SY201: $i] :
( ~ ( sK1_SY0 @ SY200 @ SY201 )
| ( SV6 @ SY200 @ SY201 ) ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[51]) ).
thf(54,plain,
! [SV7: $i > $i > $o] :
( ( ( ! [SY212: $i] :
( ~ ~ ( ~ ( SV7 @ ( sK5_SY202 @ SV7 ) @ ( sK7_SY209 @ SV7 ) )
| ~ ( SV7 @ ( sK7_SY209 @ SV7 ) @ SY212 ) )
| ( SV7 @ ( sK5_SY202 @ SV7 ) @ SY212 ) ) )
= $false )
| ( ( ~ ! [SY205: $i,SY206: $i] :
( ~ ( sK1_SY0 @ SY205 @ SY206 )
| ( SV7 @ SY205 @ SY206 ) ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[52]) ).
thf(55,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ ( sK4_SY197 @ SV6 ) @ ( sK6_SY207 @ SV6 ) )
| ~ ( SV6 @ ( sK6_SY207 @ SV6 ) @ ( sK8_SY211 @ SV6 ) ) )
| ( SV6 @ ( sK4_SY197 @ SV6 ) @ ( sK8_SY211 @ SV6 ) ) )
= $false )
| ( ( ~ ! [SY200: $i,SY201: $i] :
( ~ ( sK1_SY0 @ SY200 @ SY201 )
| ( SV6 @ SY200 @ SY201 ) ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[53]) ).
thf(56,plain,
! [SV7: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV7 @ ( sK5_SY202 @ SV7 ) @ ( sK7_SY209 @ SV7 ) )
| ~ ( SV7 @ ( sK7_SY209 @ SV7 ) @ ( sK9_SY212 @ SV7 ) ) )
| ( SV7 @ ( sK5_SY202 @ SV7 ) @ ( sK9_SY212 @ SV7 ) ) )
= $false )
| ( ( ~ ! [SY205: $i,SY206: $i] :
( ~ ( sK1_SY0 @ SY205 @ SY206 )
| ( SV7 @ SY205 @ SY206 ) ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[54]) ).
thf(57,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ ( sK4_SY197 @ SV6 ) @ ( sK6_SY207 @ SV6 ) )
| ~ ( SV6 @ ( sK6_SY207 @ SV6 ) @ ( sK8_SY211 @ SV6 ) ) ) )
= $false )
| ( ( ~ ! [SY200: $i,SY201: $i] :
( ~ ( sK1_SY0 @ SY200 @ SY201 )
| ( SV6 @ SY200 @ SY201 ) ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(58,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK4_SY197 @ SV6 ) @ ( sK8_SY211 @ SV6 ) )
= $false )
| ( ( ~ ! [SY200: $i,SY201: $i] :
( ~ ( sK1_SY0 @ SY200 @ SY201 )
| ( SV6 @ SY200 @ SY201 ) ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(59,plain,
! [SV7: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV7 @ ( sK5_SY202 @ SV7 ) @ ( sK7_SY209 @ SV7 ) )
| ~ ( SV7 @ ( sK7_SY209 @ SV7 ) @ ( sK9_SY212 @ SV7 ) ) ) )
= $false )
| ( ( ~ ! [SY205: $i,SY206: $i] :
( ~ ( sK1_SY0 @ SY205 @ SY206 )
| ( SV7 @ SY205 @ SY206 ) ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(60,plain,
! [SV7: $i > $i > $o] :
( ( ( SV7 @ ( sK5_SY202 @ SV7 ) @ ( sK9_SY212 @ SV7 ) )
= $false )
| ( ( ~ ! [SY205: $i,SY206: $i] :
( ~ ( sK1_SY0 @ SY205 @ SY206 )
| ( SV7 @ SY205 @ SY206 ) ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(61,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ ( sK4_SY197 @ SV6 ) @ ( sK6_SY207 @ SV6 ) )
| ~ ( SV6 @ ( sK6_SY207 @ SV6 ) @ ( sK8_SY211 @ SV6 ) ) ) )
= $true )
| ( ( ~ ! [SY200: $i,SY201: $i] :
( ~ ( sK1_SY0 @ SY200 @ SY201 )
| ( SV6 @ SY200 @ SY201 ) ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(62,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY200: $i,SY201: $i] :
( ~ ( sK1_SY0 @ SY200 @ SY201 )
| ( SV6 @ SY200 @ SY201 ) ) )
= $false )
| ( ( SV6 @ ( sK4_SY197 @ SV6 ) @ ( sK8_SY211 @ SV6 ) )
= $false )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(63,plain,
! [SV7: $i > $i > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK5_SY202 @ SV7 ) @ ( sK7_SY209 @ SV7 ) )
| ~ ( SV7 @ ( sK7_SY209 @ SV7 ) @ ( sK9_SY212 @ SV7 ) ) ) )
= $true )
| ( ( ~ ! [SY205: $i,SY206: $i] :
( ~ ( sK1_SY0 @ SY205 @ SY206 )
| ( SV7 @ SY205 @ SY206 ) ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(64,plain,
! [SV7: $i > $i > $o] :
( ( ( ! [SY205: $i,SY206: $i] :
( ~ ( sK1_SY0 @ SY205 @ SY206 )
| ( SV7 @ SY205 @ SY206 ) ) )
= $false )
| ( ( SV7 @ ( sK5_SY202 @ SV7 ) @ ( sK9_SY212 @ SV7 ) )
= $false )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(65,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK4_SY197 @ SV6 ) @ ( sK6_SY207 @ SV6 ) )
| ~ ( SV6 @ ( sK6_SY207 @ SV6 ) @ ( sK8_SY211 @ SV6 ) ) )
= $false )
| ( ( ~ ! [SY200: $i,SY201: $i] :
( ~ ( sK1_SY0 @ SY200 @ SY201 )
| ( SV6 @ SY200 @ SY201 ) ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(66,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY213: $i] :
( ~ ( sK1_SY0 @ ( sK10_SY200 @ SV6 ) @ SY213 )
| ( SV6 @ ( sK10_SY200 @ SV6 ) @ SY213 ) ) )
= $false )
| ( ( SV6 @ ( sK4_SY197 @ SV6 ) @ ( sK8_SY211 @ SV6 ) )
= $false )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[62]) ).
thf(67,plain,
! [SV7: $i > $i > $o] :
( ( ( ~ ( SV7 @ ( sK5_SY202 @ SV7 ) @ ( sK7_SY209 @ SV7 ) )
| ~ ( SV7 @ ( sK7_SY209 @ SV7 ) @ ( sK9_SY212 @ SV7 ) ) )
= $false )
| ( ( ~ ! [SY205: $i,SY206: $i] :
( ~ ( sK1_SY0 @ SY205 @ SY206 )
| ( SV7 @ SY205 @ SY206 ) ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(68,plain,
! [SV7: $i > $i > $o] :
( ( ( ! [SY214: $i] :
( ~ ( sK1_SY0 @ ( sK11_SY205 @ SV7 ) @ SY214 )
| ( SV7 @ ( sK11_SY205 @ SV7 ) @ SY214 ) ) )
= $false )
| ( ( SV7 @ ( sK5_SY202 @ SV7 ) @ ( sK9_SY212 @ SV7 ) )
= $false )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[64]) ).
thf(69,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK4_SY197 @ SV6 ) @ ( sK6_SY207 @ SV6 ) ) )
= $false )
| ( ( ~ ! [SY200: $i,SY201: $i] :
( ~ ( sK1_SY0 @ SY200 @ SY201 )
| ( SV6 @ SY200 @ SY201 ) ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(70,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK6_SY207 @ SV6 ) @ ( sK8_SY211 @ SV6 ) ) )
= $false )
| ( ( ~ ! [SY200: $i,SY201: $i] :
( ~ ( sK1_SY0 @ SY200 @ SY201 )
| ( SV6 @ SY200 @ SY201 ) ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(71,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK10_SY200 @ SV6 ) @ ( sK12_SY213 @ SV6 ) )
| ( SV6 @ ( sK10_SY200 @ SV6 ) @ ( sK12_SY213 @ SV6 ) ) )
= $false )
| ( ( SV6 @ ( sK4_SY197 @ SV6 ) @ ( sK8_SY211 @ SV6 ) )
= $false )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[66]) ).
thf(72,plain,
! [SV7: $i > $i > $o] :
( ( ( ~ ( SV7 @ ( sK5_SY202 @ SV7 ) @ ( sK7_SY209 @ SV7 ) ) )
= $false )
| ( ( ~ ! [SY205: $i,SY206: $i] :
( ~ ( sK1_SY0 @ SY205 @ SY206 )
| ( SV7 @ SY205 @ SY206 ) ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(73,plain,
! [SV7: $i > $i > $o] :
( ( ( ~ ( SV7 @ ( sK7_SY209 @ SV7 ) @ ( sK9_SY212 @ SV7 ) ) )
= $false )
| ( ( ~ ! [SY205: $i,SY206: $i] :
( ~ ( sK1_SY0 @ SY205 @ SY206 )
| ( SV7 @ SY205 @ SY206 ) ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(74,plain,
! [SV7: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK11_SY205 @ SV7 ) @ ( sK13_SY214 @ SV7 ) )
| ( SV7 @ ( sK11_SY205 @ SV7 ) @ ( sK13_SY214 @ SV7 ) ) )
= $false )
| ( ( SV7 @ ( sK5_SY202 @ SV7 ) @ ( sK9_SY212 @ SV7 ) )
= $false )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[68]) ).
thf(75,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK4_SY197 @ SV6 ) @ ( sK6_SY207 @ SV6 ) )
= $true )
| ( ( ~ ! [SY200: $i,SY201: $i] :
( ~ ( sK1_SY0 @ SY200 @ SY201 )
| ( SV6 @ SY200 @ SY201 ) ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(76,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK6_SY207 @ SV6 ) @ ( sK8_SY211 @ SV6 ) )
= $true )
| ( ( ~ ! [SY200: $i,SY201: $i] :
( ~ ( sK1_SY0 @ SY200 @ SY201 )
| ( SV6 @ SY200 @ SY201 ) ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(77,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK10_SY200 @ SV6 ) @ ( sK12_SY213 @ SV6 ) ) )
= $false )
| ( ( SV6 @ ( sK4_SY197 @ SV6 ) @ ( sK8_SY211 @ SV6 ) )
= $false )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(78,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK10_SY200 @ SV6 ) @ ( sK12_SY213 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK4_SY197 @ SV6 ) @ ( sK8_SY211 @ SV6 ) )
= $false )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(79,plain,
! [SV7: $i > $i > $o] :
( ( ( SV7 @ ( sK5_SY202 @ SV7 ) @ ( sK7_SY209 @ SV7 ) )
= $true )
| ( ( ~ ! [SY205: $i,SY206: $i] :
( ~ ( sK1_SY0 @ SY205 @ SY206 )
| ( SV7 @ SY205 @ SY206 ) ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(80,plain,
! [SV7: $i > $i > $o] :
( ( ( SV7 @ ( sK7_SY209 @ SV7 ) @ ( sK9_SY212 @ SV7 ) )
= $true )
| ( ( ~ ! [SY205: $i,SY206: $i] :
( ~ ( sK1_SY0 @ SY205 @ SY206 )
| ( SV7 @ SY205 @ SY206 ) ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(81,plain,
! [SV7: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK11_SY205 @ SV7 ) @ ( sK13_SY214 @ SV7 ) ) )
= $false )
| ( ( SV7 @ ( sK5_SY202 @ SV7 ) @ ( sK9_SY212 @ SV7 ) )
= $false )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(82,plain,
! [SV7: $i > $i > $o] :
( ( ( SV7 @ ( sK11_SY205 @ SV7 ) @ ( sK13_SY214 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK5_SY202 @ SV7 ) @ ( sK9_SY212 @ SV7 ) )
= $false )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(83,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY200: $i,SY201: $i] :
( ~ ( sK1_SY0 @ SY200 @ SY201 )
| ( SV6 @ SY200 @ SY201 ) ) )
= $false )
| ( ( SV6 @ ( sK4_SY197 @ SV6 ) @ ( sK6_SY207 @ SV6 ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(84,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY200: $i,SY201: $i] :
( ~ ( sK1_SY0 @ SY200 @ SY201 )
| ( SV6 @ SY200 @ SY201 ) ) )
= $false )
| ( ( SV6 @ ( sK6_SY207 @ SV6 ) @ ( sK8_SY211 @ SV6 ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(85,plain,
! [SV6: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK10_SY200 @ SV6 ) @ ( sK12_SY213 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK4_SY197 @ SV6 ) @ ( sK8_SY211 @ SV6 ) )
= $false )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(86,plain,
! [SV7: $i > $i > $o] :
( ( ( ! [SY205: $i,SY206: $i] :
( ~ ( sK1_SY0 @ SY205 @ SY206 )
| ( SV7 @ SY205 @ SY206 ) ) )
= $false )
| ( ( SV7 @ ( sK5_SY202 @ SV7 ) @ ( sK7_SY209 @ SV7 ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(87,plain,
! [SV7: $i > $i > $o] :
( ( ( ! [SY205: $i,SY206: $i] :
( ~ ( sK1_SY0 @ SY205 @ SY206 )
| ( SV7 @ SY205 @ SY206 ) ) )
= $false )
| ( ( SV7 @ ( sK7_SY209 @ SV7 ) @ ( sK9_SY212 @ SV7 ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(88,plain,
! [SV7: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK11_SY205 @ SV7 ) @ ( sK13_SY214 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK5_SY202 @ SV7 ) @ ( sK9_SY212 @ SV7 ) )
= $false )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(89,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY215: $i] :
( ~ ( sK1_SY0 @ ( sK14_SY200 @ SV6 ) @ SY215 )
| ( SV6 @ ( sK14_SY200 @ SV6 ) @ SY215 ) ) )
= $false )
| ( ( SV6 @ ( sK4_SY197 @ SV6 ) @ ( sK6_SY207 @ SV6 ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[83]) ).
thf(90,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY216: $i] :
( ~ ( sK1_SY0 @ ( sK15_SY200 @ SV6 ) @ SY216 )
| ( SV6 @ ( sK15_SY200 @ SV6 ) @ SY216 ) ) )
= $false )
| ( ( SV6 @ ( sK6_SY207 @ SV6 ) @ ( sK8_SY211 @ SV6 ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[84]) ).
thf(91,plain,
! [SV7: $i > $i > $o] :
( ( ( ! [SY217: $i] :
( ~ ( sK1_SY0 @ ( sK16_SY205 @ SV7 ) @ SY217 )
| ( SV7 @ ( sK16_SY205 @ SV7 ) @ SY217 ) ) )
= $false )
| ( ( SV7 @ ( sK5_SY202 @ SV7 ) @ ( sK7_SY209 @ SV7 ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[86]) ).
thf(92,plain,
! [SV7: $i > $i > $o] :
( ( ( ! [SY218: $i] :
( ~ ( sK1_SY0 @ ( sK17_SY205 @ SV7 ) @ SY218 )
| ( SV7 @ ( sK17_SY205 @ SV7 ) @ SY218 ) ) )
= $false )
| ( ( SV7 @ ( sK7_SY209 @ SV7 ) @ ( sK9_SY212 @ SV7 ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[87]) ).
thf(93,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK14_SY200 @ SV6 ) @ ( sK18_SY215 @ SV6 ) )
| ( SV6 @ ( sK14_SY200 @ SV6 ) @ ( sK18_SY215 @ SV6 ) ) )
= $false )
| ( ( SV6 @ ( sK4_SY197 @ SV6 ) @ ( sK6_SY207 @ SV6 ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[89]) ).
thf(94,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK15_SY200 @ SV6 ) @ ( sK19_SY216 @ SV6 ) )
| ( SV6 @ ( sK15_SY200 @ SV6 ) @ ( sK19_SY216 @ SV6 ) ) )
= $false )
| ( ( SV6 @ ( sK6_SY207 @ SV6 ) @ ( sK8_SY211 @ SV6 ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[90]) ).
thf(95,plain,
! [SV7: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK16_SY205 @ SV7 ) @ ( sK20_SY217 @ SV7 ) )
| ( SV7 @ ( sK16_SY205 @ SV7 ) @ ( sK20_SY217 @ SV7 ) ) )
= $false )
| ( ( SV7 @ ( sK5_SY202 @ SV7 ) @ ( sK7_SY209 @ SV7 ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[91]) ).
thf(96,plain,
! [SV7: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK17_SY205 @ SV7 ) @ ( sK21_SY218 @ SV7 ) )
| ( SV7 @ ( sK17_SY205 @ SV7 ) @ ( sK21_SY218 @ SV7 ) ) )
= $false )
| ( ( SV7 @ ( sK7_SY209 @ SV7 ) @ ( sK9_SY212 @ SV7 ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[92]) ).
thf(97,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK14_SY200 @ SV6 ) @ ( sK18_SY215 @ SV6 ) ) )
= $false )
| ( ( SV6 @ ( sK4_SY197 @ SV6 ) @ ( sK6_SY207 @ SV6 ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(98,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK14_SY200 @ SV6 ) @ ( sK18_SY215 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK4_SY197 @ SV6 ) @ ( sK6_SY207 @ SV6 ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(99,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK15_SY200 @ SV6 ) @ ( sK19_SY216 @ SV6 ) ) )
= $false )
| ( ( SV6 @ ( sK6_SY207 @ SV6 ) @ ( sK8_SY211 @ SV6 ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(100,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK15_SY200 @ SV6 ) @ ( sK19_SY216 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK6_SY207 @ SV6 ) @ ( sK8_SY211 @ SV6 ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(101,plain,
! [SV7: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK16_SY205 @ SV7 ) @ ( sK20_SY217 @ SV7 ) ) )
= $false )
| ( ( SV7 @ ( sK5_SY202 @ SV7 ) @ ( sK7_SY209 @ SV7 ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(102,plain,
! [SV7: $i > $i > $o] :
( ( ( SV7 @ ( sK16_SY205 @ SV7 ) @ ( sK20_SY217 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK5_SY202 @ SV7 ) @ ( sK7_SY209 @ SV7 ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(103,plain,
! [SV7: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK17_SY205 @ SV7 ) @ ( sK21_SY218 @ SV7 ) ) )
= $false )
| ( ( SV7 @ ( sK7_SY209 @ SV7 ) @ ( sK9_SY212 @ SV7 ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(104,plain,
! [SV7: $i > $i > $o] :
( ( ( SV7 @ ( sK17_SY205 @ SV7 ) @ ( sK21_SY218 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK7_SY209 @ SV7 ) @ ( sK9_SY212 @ SV7 ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(105,plain,
! [SV6: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK14_SY200 @ SV6 ) @ ( sK18_SY215 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK4_SY197 @ SV6 ) @ ( sK6_SY207 @ SV6 ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(106,plain,
! [SV6: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK15_SY200 @ SV6 ) @ ( sK19_SY216 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK6_SY207 @ SV6 ) @ ( sK8_SY211 @ SV6 ) )
= $true )
| ( ( SV6 @ sK2_SX0 @ sK3_SY171 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(107,plain,
! [SV7: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK16_SY205 @ SV7 ) @ ( sK20_SY217 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK5_SY202 @ SV7 ) @ ( sK7_SY209 @ SV7 ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(108,plain,
! [SV7: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK17_SY205 @ SV7 ) @ ( sK21_SY218 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK7_SY209 @ SV7 ) @ ( sK9_SY212 @ SV7 ) )
= $true )
| ( ( SV7 @ sK3_SY171 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(109,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[33,108,107,106,105,104,102,100,98,88,85,82,78,46]) ).
thf(110,plain,
( ( ! [SY130: $i,SY131: $i,SY132: $i] :
( ( ( sK1_SY0 @ SY130 @ SY131 )
& ( sK1_SY0 @ SY131 @ SY132 ) )
=> ( sK1_SY0 @ SY130 @ SY132 ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(111,plain,
( ( ! [SY128: $i,SY129: $i] :
( ( sK1_SY0 @ SY128 @ SY129 )
=> ~ ( sK1_SY0 @ SY129 @ SY128 ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(112,plain,
( ( ~ ! [SY147: $i,SY148: $i,SY149: $i] :
( ( ! [SY150: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY150 @ SY9 @ SY10 )
& ( SY150 @ SY10 @ SY11 ) )
=> ( SY150 @ SY9 @ SY11 ) )
& ! [SY154: $i,SY155: $i] :
( ( sK1_SY0 @ SY154 @ SY155 )
=> ( SY150 @ SY154 @ SY155 ) ) )
=> ( SY150 @ SY147 @ SY148 ) )
& ! [SY156: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY156 @ SY9 @ SY10 )
& ( SY156 @ SY10 @ SY11 ) )
=> ( SY156 @ SY9 @ SY11 ) )
& ! [SY160: $i,SY161: $i] :
( ( sK1_SY0 @ SY160 @ SY161 )
=> ( SY156 @ SY160 @ SY161 ) ) )
=> ( SY156 @ SY148 @ SY149 ) ) )
=> ! [SY162: $i > $i > $o] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( ( SY162 @ SY9 @ SY10 )
& ( SY162 @ SY10 @ SY11 ) )
=> ( SY162 @ SY9 @ SY11 ) )
& ! [SY166: $i,SY167: $i] :
( ( sK1_SY0 @ SY166 @ SY167 )
=> ( SY162 @ SY166 @ SY167 ) ) )
=> ( SY162 @ SY147 @ SY149 ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(113,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ! [SX3: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SX3 @ SX4 @ SX5 )
| ~ ( SX3 @ SX5 @ SX6 ) )
| ( SX3 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SX3 @ SX4 @ SX5 ) ) )
| ( SX3 @ SX0 @ SX1 ) )
| ~ ! [SX3: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SX3 @ SX4 @ SX5 )
| ~ ( SX3 @ SX5 @ SX6 ) )
| ( SX3 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SX3 @ SX4 @ SX5 ) ) )
| ( SX3 @ SX1 @ SX2 ) ) )
| ! [SX3: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SX3 @ SX4 @ SX5 )
| ~ ( SX3 @ SX5 @ SX6 ) )
| ( SX3 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SX3 @ SX4 @ SX5 ) ) )
| ( SX3 @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112,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(114,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_SY0 @ SX0 @ SX1 )
| ~ ( sK1_SY0 @ SX1 @ SX2 ) )
| ( sK1_SY0 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110,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(115,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( sK1_SY0 @ SX0 @ SX1 )
| ~ ( sK1_SY0 @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111,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(116,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ! [SX3: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SX3 @ SX4 @ SX5 )
| ~ ( SX3 @ SX5 @ SX6 ) )
| ( SX3 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SX3 @ SX4 @ SX5 ) ) )
| ( SX3 @ SX0 @ SX1 ) )
| ~ ! [SX3: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SX3 @ SX4 @ SX5 )
| ~ ( SX3 @ SX5 @ SX6 ) )
| ( SX3 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SX3 @ SX4 @ SX5 ) ) )
| ( SX3 @ SX1 @ SX2 ) ) )
| ! [SX3: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SX3 @ SX4 @ SX5 )
| ~ ( SX3 @ SX5 @ SX6 ) )
| ( SX3 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SX3 @ SX4 @ SX5 ) ) )
| ( SX3 @ SX0 @ SX2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(117,plain,
! [SV8: $i] :
( ( ! [SY219: $i,SY220: $i] :
( ~ ~ ( ~ ( sK1_SY0 @ SV8 @ SY219 )
| ~ ( sK1_SY0 @ SY219 @ SY220 ) )
| ( sK1_SY0 @ SV8 @ SY220 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(118,plain,
! [SV9: $i] :
( ( ! [SY221: $i] :
( ~ ( sK1_SY0 @ SV9 @ SY221 )
| ~ ( sK1_SY0 @ SY221 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(119,plain,
( ( ! [SY222: $i,SY223: $i] :
( ~ ~ ( ~ ! [SY224: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY224 @ SX4 @ SX5 )
| ~ ( SY224 @ SX5 @ SX6 ) )
| ( SY224 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY224 @ SX4 @ SX5 ) ) )
| ( SY224 @ sK22_SX0 @ SY222 ) )
| ~ ! [SX3: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SX3 @ SX4 @ SX5 )
| ~ ( SX3 @ SX5 @ SX6 ) )
| ( SX3 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SX3 @ SX4 @ SX5 ) ) )
| ( SX3 @ SY222 @ SY223 ) ) )
| ! [SY236: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY236 @ SX4 @ SX5 )
| ~ ( SY236 @ SX5 @ SX6 ) )
| ( SY236 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY236 @ SX4 @ SX5 ) ) )
| ( SY236 @ sK22_SX0 @ SY223 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[116]) ).
thf(120,plain,
! [SV10: $i,SV8: $i] :
( ( ! [SY242: $i] :
( ~ ~ ( ~ ( sK1_SY0 @ SV8 @ SV10 )
| ~ ( sK1_SY0 @ SV10 @ SY242 ) )
| ( sK1_SY0 @ SV8 @ SY242 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(121,plain,
! [SV11: $i,SV9: $i] :
( ( ~ ( sK1_SY0 @ SV9 @ SV11 )
| ~ ( sK1_SY0 @ SV11 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(122,plain,
( ( ! [SY243: $i] :
( ~ ~ ( ~ ! [SY244: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY244 @ SX4 @ SX5 )
| ~ ( SY244 @ SX5 @ SX6 ) )
| ( SY244 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY244 @ SX4 @ SX5 ) ) )
| ( SY244 @ sK22_SX0 @ sK23_SY222 ) )
| ~ ! [SY250: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY250 @ SX4 @ SX5 )
| ~ ( SY250 @ SX5 @ SX6 ) )
| ( SY250 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY250 @ SX4 @ SX5 ) ) )
| ( SY250 @ sK23_SY222 @ SY243 ) ) )
| ! [SY236: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY236 @ SX4 @ SX5 )
| ~ ( SY236 @ SX5 @ SX6 ) )
| ( SY236 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY236 @ SX4 @ SX5 ) ) )
| ( SY236 @ sK22_SX0 @ SY243 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[119]) ).
thf(123,plain,
! [SV12: $i,SV10: $i,SV8: $i] :
( ( ~ ~ ( ~ ( sK1_SY0 @ SV8 @ SV10 )
| ~ ( sK1_SY0 @ SV10 @ SV12 ) )
| ( sK1_SY0 @ SV8 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(124,plain,
! [SV11: $i,SV9: $i] :
( ( ( ~ ( sK1_SY0 @ SV9 @ SV11 ) )
= $true )
| ( ( ~ ( sK1_SY0 @ SV11 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(125,plain,
( ( ~ ~ ( ~ ! [SY244: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY244 @ SX4 @ SX5 )
| ~ ( SY244 @ SX5 @ SX6 ) )
| ( SY244 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY244 @ SX4 @ SX5 ) ) )
| ( SY244 @ sK22_SX0 @ sK23_SY222 ) )
| ~ ! [SY268: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY268 @ SX4 @ SX5 )
| ~ ( SY268 @ SX5 @ SX6 ) )
| ( SY268 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY268 @ SX4 @ SX5 ) ) )
| ( SY268 @ sK23_SY222 @ sK24_SY243 ) ) )
| ! [SY274: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY274 @ SX4 @ SX5 )
| ~ ( SY274 @ SX5 @ SX6 ) )
| ( SY274 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY274 @ SX4 @ SX5 ) ) )
| ( SY274 @ sK22_SX0 @ sK24_SY243 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[122]) ).
thf(126,plain,
! [SV12: $i,SV10: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( sK1_SY0 @ SV8 @ SV10 )
| ~ ( sK1_SY0 @ SV10 @ SV12 ) ) )
= $true )
| ( ( sK1_SY0 @ SV8 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(127,plain,
! [SV11: $i,SV9: $i] :
( ( ( sK1_SY0 @ SV9 @ SV11 )
= $false )
| ( ( ~ ( sK1_SY0 @ SV11 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(128,plain,
( ( ~ ~ ( ~ ! [SY244: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY244 @ SX4 @ SX5 )
| ~ ( SY244 @ SX5 @ SX6 ) )
| ( SY244 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY244 @ SX4 @ SX5 ) ) )
| ( SY244 @ sK22_SX0 @ sK23_SY222 ) )
| ~ ! [SY268: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY268 @ SX4 @ SX5 )
| ~ ( SY268 @ SX5 @ SX6 ) )
| ( SY268 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY268 @ SX4 @ SX5 ) ) )
| ( SY268 @ sK23_SY222 @ sK24_SY243 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(129,plain,
( ( ! [SY274: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY274 @ SX4 @ SX5 )
| ~ ( SY274 @ SX5 @ SX6 ) )
| ( SY274 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY274 @ SX4 @ SX5 ) ) )
| ( SY274 @ sK22_SX0 @ sK24_SY243 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(130,plain,
! [SV12: $i,SV10: $i,SV8: $i] :
( ( ( ~ ( ~ ( sK1_SY0 @ SV8 @ SV10 )
| ~ ( sK1_SY0 @ SV10 @ SV12 ) ) )
= $false )
| ( ( sK1_SY0 @ SV8 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(131,plain,
! [SV9: $i,SV11: $i] :
( ( ( sK1_SY0 @ SV11 @ SV9 )
= $false )
| ( ( sK1_SY0 @ SV9 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(132,plain,
( ( ~ ( ~ ! [SY244: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY244 @ SX4 @ SX5 )
| ~ ( SY244 @ SX5 @ SX6 ) )
| ( SY244 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY244 @ SX4 @ SX5 ) ) )
| ( SY244 @ sK22_SX0 @ sK23_SY222 ) )
| ~ ! [SY268: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY268 @ SX4 @ SX5 )
| ~ ( SY268 @ SX5 @ SX6 ) )
| ( SY268 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY268 @ SX4 @ SX5 ) ) )
| ( SY268 @ sK23_SY222 @ sK24_SY243 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(133,plain,
( ( ~ ~ ( ~ ! [SY280: $i,SY281: $i,SY282: $i] :
( ~ ~ ( ~ ( sK25_SY274 @ SY280 @ SY281 )
| ~ ( sK25_SY274 @ SY281 @ SY282 ) )
| ( sK25_SY274 @ SY280 @ SY282 ) )
| ~ ! [SY283: $i,SY284: $i] :
( ~ ( sK1_SY0 @ SY283 @ SY284 )
| ( sK25_SY274 @ SY283 @ SY284 ) ) )
| ( sK25_SY274 @ sK22_SX0 @ sK24_SY243 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[129]) ).
thf(134,plain,
! [SV12: $i,SV10: $i,SV8: $i] :
( ( ( ~ ( sK1_SY0 @ SV8 @ SV10 )
| ~ ( sK1_SY0 @ SV10 @ SV12 ) )
= $true )
| ( ( sK1_SY0 @ SV8 @ SV12 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(135,plain,
( ( ~ ! [SY244: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY244 @ SX4 @ SX5 )
| ~ ( SY244 @ SX5 @ SX6 ) )
| ( SY244 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY244 @ SX4 @ SX5 ) ) )
| ( SY244 @ sK22_SX0 @ sK23_SY222 ) )
| ~ ! [SY268: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY268 @ SX4 @ SX5 )
| ~ ( SY268 @ SX5 @ SX6 ) )
| ( SY268 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY268 @ SX4 @ SX5 ) ) )
| ( SY268 @ sK23_SY222 @ sK24_SY243 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(136,plain,
( ( ~ ~ ( ~ ! [SY280: $i,SY281: $i,SY282: $i] :
( ~ ~ ( ~ ( sK25_SY274 @ SY280 @ SY281 )
| ~ ( sK25_SY274 @ SY281 @ SY282 ) )
| ( sK25_SY274 @ SY280 @ SY282 ) )
| ~ ! [SY283: $i,SY284: $i] :
( ~ ( sK1_SY0 @ SY283 @ SY284 )
| ( sK25_SY274 @ SY283 @ SY284 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(137,plain,
( ( sK25_SY274 @ sK22_SX0 @ sK24_SY243 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(138,plain,
! [SV12: $i,SV10: $i,SV8: $i] :
( ( ( ~ ( sK1_SY0 @ SV8 @ SV10 ) )
= $true )
| ( ( ~ ( sK1_SY0 @ SV10 @ SV12 ) )
= $true )
| ( ( sK1_SY0 @ SV8 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(139,plain,
( ( ~ ! [SY244: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY244 @ SX4 @ SX5 )
| ~ ( SY244 @ SX5 @ SX6 ) )
| ( SY244 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY244 @ SX4 @ SX5 ) ) )
| ( SY244 @ sK22_SX0 @ sK23_SY222 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(140,plain,
( ( ~ ! [SY268: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY268 @ SX4 @ SX5 )
| ~ ( SY268 @ SX5 @ SX6 ) )
| ( SY268 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY268 @ SX4 @ SX5 ) ) )
| ( SY268 @ sK23_SY222 @ sK24_SY243 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(141,plain,
( ( ~ ( ~ ! [SY280: $i,SY281: $i,SY282: $i] :
( ~ ~ ( ~ ( sK25_SY274 @ SY280 @ SY281 )
| ~ ( sK25_SY274 @ SY281 @ SY282 ) )
| ( sK25_SY274 @ SY280 @ SY282 ) )
| ~ ! [SY283: $i,SY284: $i] :
( ~ ( sK1_SY0 @ SY283 @ SY284 )
| ( sK25_SY274 @ SY283 @ SY284 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(142,plain,
! [SV12: $i,SV10: $i,SV8: $i] :
( ( ( sK1_SY0 @ SV8 @ SV10 )
= $false )
| ( ( ~ ( sK1_SY0 @ SV10 @ SV12 ) )
= $true )
| ( ( sK1_SY0 @ SV8 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(143,plain,
( ( ! [SY244: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY244 @ SX4 @ SX5 )
| ~ ( SY244 @ SX5 @ SX6 ) )
| ( SY244 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY244 @ SX4 @ SX5 ) ) )
| ( SY244 @ sK22_SX0 @ sK23_SY222 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(144,plain,
( ( ! [SY268: $i > $i > $o] :
( ~ ~ ( ~ ! [SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ( SY268 @ SX4 @ SX5 )
| ~ ( SY268 @ SX5 @ SX6 ) )
| ( SY268 @ SX4 @ SX6 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( sK1_SY0 @ SX4 @ SX5 )
| ( SY268 @ SX4 @ SX5 ) ) )
| ( SY268 @ sK23_SY222 @ sK24_SY243 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(145,plain,
( ( ~ ! [SY280: $i,SY281: $i,SY282: $i] :
( ~ ~ ( ~ ( sK25_SY274 @ SY280 @ SY281 )
| ~ ( sK25_SY274 @ SY281 @ SY282 ) )
| ( sK25_SY274 @ SY280 @ SY282 ) )
| ~ ! [SY283: $i,SY284: $i] :
( ~ ( sK1_SY0 @ SY283 @ SY284 )
| ( sK25_SY274 @ SY283 @ SY284 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(146,plain,
! [SV8: $i,SV12: $i,SV10: $i] :
( ( ( sK1_SY0 @ SV10 @ SV12 )
= $false )
| ( ( sK1_SY0 @ SV8 @ SV10 )
= $false )
| ( ( sK1_SY0 @ SV8 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(147,plain,
! [SV13: $i > $i > $o] :
( ( ~ ~ ( ~ ! [SY285: $i,SY286: $i,SY287: $i] :
( ~ ~ ( ~ ( SV13 @ SY285 @ SY286 )
| ~ ( SV13 @ SY286 @ SY287 ) )
| ( SV13 @ SY285 @ SY287 ) )
| ~ ! [SY288: $i,SY289: $i] :
( ~ ( sK1_SY0 @ SY288 @ SY289 )
| ( SV13 @ SY288 @ SY289 ) ) )
| ( SV13 @ sK22_SX0 @ sK23_SY222 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(148,plain,
! [SV14: $i > $i > $o] :
( ( ~ ~ ( ~ ! [SY290: $i,SY291: $i,SY292: $i] :
( ~ ~ ( ~ ( SV14 @ SY290 @ SY291 )
| ~ ( SV14 @ SY291 @ SY292 ) )
| ( SV14 @ SY290 @ SY292 ) )
| ~ ! [SY293: $i,SY294: $i] :
( ~ ( sK1_SY0 @ SY293 @ SY294 )
| ( SV14 @ SY293 @ SY294 ) ) )
| ( SV14 @ sK23_SY222 @ sK24_SY243 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(149,plain,
( ( ~ ! [SY280: $i,SY281: $i,SY282: $i] :
( ~ ~ ( ~ ( sK25_SY274 @ SY280 @ SY281 )
| ~ ( sK25_SY274 @ SY281 @ SY282 ) )
| ( sK25_SY274 @ SY280 @ SY282 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(150,plain,
( ( ~ ! [SY283: $i,SY284: $i] :
( ~ ( sK1_SY0 @ SY283 @ SY284 )
| ( sK25_SY274 @ SY283 @ SY284 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(151,plain,
! [SV13: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY285: $i,SY286: $i,SY287: $i] :
( ~ ~ ( ~ ( SV13 @ SY285 @ SY286 )
| ~ ( SV13 @ SY286 @ SY287 ) )
| ( SV13 @ SY285 @ SY287 ) )
| ~ ! [SY288: $i,SY289: $i] :
( ~ ( sK1_SY0 @ SY288 @ SY289 )
| ( SV13 @ SY288 @ SY289 ) ) ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(152,plain,
! [SV14: $i > $i > $o] :
( ( ( ~ ~ ( ~ ! [SY290: $i,SY291: $i,SY292: $i] :
( ~ ~ ( ~ ( SV14 @ SY290 @ SY291 )
| ~ ( SV14 @ SY291 @ SY292 ) )
| ( SV14 @ SY290 @ SY292 ) )
| ~ ! [SY293: $i,SY294: $i] :
( ~ ( sK1_SY0 @ SY293 @ SY294 )
| ( SV14 @ SY293 @ SY294 ) ) ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(153,plain,
( ( ! [SY280: $i,SY281: $i,SY282: $i] :
( ~ ~ ( ~ ( sK25_SY274 @ SY280 @ SY281 )
| ~ ( sK25_SY274 @ SY281 @ SY282 ) )
| ( sK25_SY274 @ SY280 @ SY282 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(154,plain,
( ( ! [SY283: $i,SY284: $i] :
( ~ ( sK1_SY0 @ SY283 @ SY284 )
| ( sK25_SY274 @ SY283 @ SY284 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(155,plain,
! [SV13: $i > $i > $o] :
( ( ( ~ ( ~ ! [SY285: $i,SY286: $i,SY287: $i] :
( ~ ~ ( ~ ( SV13 @ SY285 @ SY286 )
| ~ ( SV13 @ SY286 @ SY287 ) )
| ( SV13 @ SY285 @ SY287 ) )
| ~ ! [SY288: $i,SY289: $i] :
( ~ ( sK1_SY0 @ SY288 @ SY289 )
| ( SV13 @ SY288 @ SY289 ) ) ) )
= $false )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(156,plain,
! [SV14: $i > $i > $o] :
( ( ( ~ ( ~ ! [SY290: $i,SY291: $i,SY292: $i] :
( ~ ~ ( ~ ( SV14 @ SY290 @ SY291 )
| ~ ( SV14 @ SY291 @ SY292 ) )
| ( SV14 @ SY290 @ SY292 ) )
| ~ ! [SY293: $i,SY294: $i] :
( ~ ( sK1_SY0 @ SY293 @ SY294 )
| ( SV14 @ SY293 @ SY294 ) ) ) )
= $false )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(157,plain,
! [SV15: $i] :
( ( ! [SY295: $i,SY296: $i] :
( ~ ~ ( ~ ( sK25_SY274 @ SV15 @ SY295 )
| ~ ( sK25_SY274 @ SY295 @ SY296 ) )
| ( sK25_SY274 @ SV15 @ SY296 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(158,plain,
! [SV16: $i] :
( ( ! [SY297: $i] :
( ~ ( sK1_SY0 @ SV16 @ SY297 )
| ( sK25_SY274 @ SV16 @ SY297 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(159,plain,
! [SV13: $i > $i > $o] :
( ( ( ~ ! [SY285: $i,SY286: $i,SY287: $i] :
( ~ ~ ( ~ ( SV13 @ SY285 @ SY286 )
| ~ ( SV13 @ SY286 @ SY287 ) )
| ( SV13 @ SY285 @ SY287 ) )
| ~ ! [SY288: $i,SY289: $i] :
( ~ ( sK1_SY0 @ SY288 @ SY289 )
| ( SV13 @ SY288 @ SY289 ) ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(160,plain,
! [SV14: $i > $i > $o] :
( ( ( ~ ! [SY290: $i,SY291: $i,SY292: $i] :
( ~ ~ ( ~ ( SV14 @ SY290 @ SY291 )
| ~ ( SV14 @ SY291 @ SY292 ) )
| ( SV14 @ SY290 @ SY292 ) )
| ~ ! [SY293: $i,SY294: $i] :
( ~ ( sK1_SY0 @ SY293 @ SY294 )
| ( SV14 @ SY293 @ SY294 ) ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(161,plain,
! [SV17: $i,SV15: $i] :
( ( ! [SY298: $i] :
( ~ ~ ( ~ ( sK25_SY274 @ SV15 @ SV17 )
| ~ ( sK25_SY274 @ SV17 @ SY298 ) )
| ( sK25_SY274 @ SV15 @ SY298 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(162,plain,
! [SV18: $i,SV16: $i] :
( ( ~ ( sK1_SY0 @ SV16 @ SV18 )
| ( sK25_SY274 @ SV16 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(163,plain,
! [SV13: $i > $i > $o] :
( ( ( ~ ! [SY285: $i,SY286: $i,SY287: $i] :
( ~ ~ ( ~ ( SV13 @ SY285 @ SY286 )
| ~ ( SV13 @ SY286 @ SY287 ) )
| ( SV13 @ SY285 @ SY287 ) ) )
= $true )
| ( ( ~ ! [SY288: $i,SY289: $i] :
( ~ ( sK1_SY0 @ SY288 @ SY289 )
| ( SV13 @ SY288 @ SY289 ) ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(164,plain,
! [SV14: $i > $i > $o] :
( ( ( ~ ! [SY290: $i,SY291: $i,SY292: $i] :
( ~ ~ ( ~ ( SV14 @ SY290 @ SY291 )
| ~ ( SV14 @ SY291 @ SY292 ) )
| ( SV14 @ SY290 @ SY292 ) ) )
= $true )
| ( ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( sK1_SY0 @ SY293 @ SY294 )
| ( SV14 @ SY293 @ SY294 ) ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(165,plain,
! [SV19: $i,SV17: $i,SV15: $i] :
( ( ~ ~ ( ~ ( sK25_SY274 @ SV15 @ SV17 )
| ~ ( sK25_SY274 @ SV17 @ SV19 ) )
| ( sK25_SY274 @ SV15 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(166,plain,
! [SV18: $i,SV16: $i] :
( ( ( ~ ( sK1_SY0 @ SV16 @ SV18 ) )
= $true )
| ( ( sK25_SY274 @ SV16 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(167,plain,
! [SV13: $i > $i > $o] :
( ( ( ! [SY285: $i,SY286: $i,SY287: $i] :
( ~ ~ ( ~ ( SV13 @ SY285 @ SY286 )
| ~ ( SV13 @ SY286 @ SY287 ) )
| ( SV13 @ SY285 @ SY287 ) ) )
= $false )
| ( ( ~ ! [SY288: $i,SY289: $i] :
( ~ ( sK1_SY0 @ SY288 @ SY289 )
| ( SV13 @ SY288 @ SY289 ) ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(168,plain,
! [SV14: $i > $i > $o] :
( ( ( ! [SY290: $i,SY291: $i,SY292: $i] :
( ~ ~ ( ~ ( SV14 @ SY290 @ SY291 )
| ~ ( SV14 @ SY291 @ SY292 ) )
| ( SV14 @ SY290 @ SY292 ) ) )
= $false )
| ( ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( sK1_SY0 @ SY293 @ SY294 )
| ( SV14 @ SY293 @ SY294 ) ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(169,plain,
! [SV19: $i,SV17: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ( sK25_SY274 @ SV15 @ SV17 )
| ~ ( sK25_SY274 @ SV17 @ SV19 ) ) )
= $true )
| ( ( sK25_SY274 @ SV15 @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(170,plain,
! [SV18: $i,SV16: $i] :
( ( ( sK1_SY0 @ SV16 @ SV18 )
= $false )
| ( ( sK25_SY274 @ SV16 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(171,plain,
! [SV13: $i > $i > $o] :
( ( ( ! [SY299: $i,SY300: $i] :
( ~ ~ ( ~ ( SV13 @ ( sK26_SY285 @ SV13 ) @ SY299 )
| ~ ( SV13 @ SY299 @ SY300 ) )
| ( SV13 @ ( sK26_SY285 @ SV13 ) @ SY300 ) ) )
= $false )
| ( ( ~ ! [SY288: $i,SY289: $i] :
( ~ ( sK1_SY0 @ SY288 @ SY289 )
| ( SV13 @ SY288 @ SY289 ) ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[167]) ).
thf(172,plain,
! [SV14: $i > $i > $o] :
( ( ( ! [SY301: $i,SY302: $i] :
( ~ ~ ( ~ ( SV14 @ ( sK27_SY290 @ SV14 ) @ SY301 )
| ~ ( SV14 @ SY301 @ SY302 ) )
| ( SV14 @ ( sK27_SY290 @ SV14 ) @ SY302 ) ) )
= $false )
| ( ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( sK1_SY0 @ SY293 @ SY294 )
| ( SV14 @ SY293 @ SY294 ) ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[168]) ).
thf(173,plain,
! [SV19: $i,SV17: $i,SV15: $i] :
( ( ( ~ ( ~ ( sK25_SY274 @ SV15 @ SV17 )
| ~ ( sK25_SY274 @ SV17 @ SV19 ) ) )
= $false )
| ( ( sK25_SY274 @ SV15 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(174,plain,
! [SV13: $i > $i > $o] :
( ( ( ! [SY303: $i] :
( ~ ~ ( ~ ( SV13 @ ( sK26_SY285 @ SV13 ) @ ( sK28_SY299 @ SV13 ) )
| ~ ( SV13 @ ( sK28_SY299 @ SV13 ) @ SY303 ) )
| ( SV13 @ ( sK26_SY285 @ SV13 ) @ SY303 ) ) )
= $false )
| ( ( ~ ! [SY288: $i,SY289: $i] :
( ~ ( sK1_SY0 @ SY288 @ SY289 )
| ( SV13 @ SY288 @ SY289 ) ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[171]) ).
thf(175,plain,
! [SV14: $i > $i > $o] :
( ( ( ! [SY304: $i] :
( ~ ~ ( ~ ( SV14 @ ( sK27_SY290 @ SV14 ) @ ( sK29_SY301 @ SV14 ) )
| ~ ( SV14 @ ( sK29_SY301 @ SV14 ) @ SY304 ) )
| ( SV14 @ ( sK27_SY290 @ SV14 ) @ SY304 ) ) )
= $false )
| ( ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( sK1_SY0 @ SY293 @ SY294 )
| ( SV14 @ SY293 @ SY294 ) ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[172]) ).
thf(176,plain,
! [SV19: $i,SV17: $i,SV15: $i] :
( ( ( ~ ( sK25_SY274 @ SV15 @ SV17 )
| ~ ( sK25_SY274 @ SV17 @ SV19 ) )
= $true )
| ( ( sK25_SY274 @ SV15 @ SV19 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(177,plain,
! [SV13: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV13 @ ( sK26_SY285 @ SV13 ) @ ( sK28_SY299 @ SV13 ) )
| ~ ( SV13 @ ( sK28_SY299 @ SV13 ) @ ( sK30_SY303 @ SV13 ) ) )
| ( SV13 @ ( sK26_SY285 @ SV13 ) @ ( sK30_SY303 @ SV13 ) ) )
= $false )
| ( ( ~ ! [SY288: $i,SY289: $i] :
( ~ ( sK1_SY0 @ SY288 @ SY289 )
| ( SV13 @ SY288 @ SY289 ) ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[174]) ).
thf(178,plain,
! [SV14: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ ( sK27_SY290 @ SV14 ) @ ( sK29_SY301 @ SV14 ) )
| ~ ( SV14 @ ( sK29_SY301 @ SV14 ) @ ( sK31_SY304 @ SV14 ) ) )
| ( SV14 @ ( sK27_SY290 @ SV14 ) @ ( sK31_SY304 @ SV14 ) ) )
= $false )
| ( ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( sK1_SY0 @ SY293 @ SY294 )
| ( SV14 @ SY293 @ SY294 ) ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[175]) ).
thf(179,plain,
! [SV19: $i,SV17: $i,SV15: $i] :
( ( ( ~ ( sK25_SY274 @ SV15 @ SV17 ) )
= $true )
| ( ( ~ ( sK25_SY274 @ SV17 @ SV19 ) )
= $true )
| ( ( sK25_SY274 @ SV15 @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(180,plain,
! [SV13: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV13 @ ( sK26_SY285 @ SV13 ) @ ( sK28_SY299 @ SV13 ) )
| ~ ( SV13 @ ( sK28_SY299 @ SV13 ) @ ( sK30_SY303 @ SV13 ) ) ) )
= $false )
| ( ( ~ ! [SY288: $i,SY289: $i] :
( ~ ( sK1_SY0 @ SY288 @ SY289 )
| ( SV13 @ SY288 @ SY289 ) ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(181,plain,
! [SV13: $i > $i > $o] :
( ( ( SV13 @ ( sK26_SY285 @ SV13 ) @ ( sK30_SY303 @ SV13 ) )
= $false )
| ( ( ~ ! [SY288: $i,SY289: $i] :
( ~ ( sK1_SY0 @ SY288 @ SY289 )
| ( SV13 @ SY288 @ SY289 ) ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(182,plain,
! [SV14: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ ( sK27_SY290 @ SV14 ) @ ( sK29_SY301 @ SV14 ) )
| ~ ( SV14 @ ( sK29_SY301 @ SV14 ) @ ( sK31_SY304 @ SV14 ) ) ) )
= $false )
| ( ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( sK1_SY0 @ SY293 @ SY294 )
| ( SV14 @ SY293 @ SY294 ) ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(183,plain,
! [SV14: $i > $i > $o] :
( ( ( SV14 @ ( sK27_SY290 @ SV14 ) @ ( sK31_SY304 @ SV14 ) )
= $false )
| ( ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( sK1_SY0 @ SY293 @ SY294 )
| ( SV14 @ SY293 @ SY294 ) ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(184,plain,
! [SV19: $i,SV17: $i,SV15: $i] :
( ( ( sK25_SY274 @ SV15 @ SV17 )
= $false )
| ( ( ~ ( sK25_SY274 @ SV17 @ SV19 ) )
= $true )
| ( ( sK25_SY274 @ SV15 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(185,plain,
! [SV13: $i > $i > $o] :
( ( ( ~ ( ~ ( SV13 @ ( sK26_SY285 @ SV13 ) @ ( sK28_SY299 @ SV13 ) )
| ~ ( SV13 @ ( sK28_SY299 @ SV13 ) @ ( sK30_SY303 @ SV13 ) ) ) )
= $true )
| ( ( ~ ! [SY288: $i,SY289: $i] :
( ~ ( sK1_SY0 @ SY288 @ SY289 )
| ( SV13 @ SY288 @ SY289 ) ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(186,plain,
! [SV13: $i > $i > $o] :
( ( ( ! [SY288: $i,SY289: $i] :
( ~ ( sK1_SY0 @ SY288 @ SY289 )
| ( SV13 @ SY288 @ SY289 ) ) )
= $false )
| ( ( SV13 @ ( sK26_SY285 @ SV13 ) @ ( sK30_SY303 @ SV13 ) )
= $false )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(187,plain,
! [SV14: $i > $i > $o] :
( ( ( ~ ( ~ ( SV14 @ ( sK27_SY290 @ SV14 ) @ ( sK29_SY301 @ SV14 ) )
| ~ ( SV14 @ ( sK29_SY301 @ SV14 ) @ ( sK31_SY304 @ SV14 ) ) ) )
= $true )
| ( ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( sK1_SY0 @ SY293 @ SY294 )
| ( SV14 @ SY293 @ SY294 ) ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(188,plain,
! [SV14: $i > $i > $o] :
( ( ( ! [SY293: $i,SY294: $i] :
( ~ ( sK1_SY0 @ SY293 @ SY294 )
| ( SV14 @ SY293 @ SY294 ) ) )
= $false )
| ( ( SV14 @ ( sK27_SY290 @ SV14 ) @ ( sK31_SY304 @ SV14 ) )
= $false )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(189,plain,
! [SV15: $i,SV19: $i,SV17: $i] :
( ( ( sK25_SY274 @ SV17 @ SV19 )
= $false )
| ( ( sK25_SY274 @ SV15 @ SV17 )
= $false )
| ( ( sK25_SY274 @ SV15 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(190,plain,
! [SV13: $i > $i > $o] :
( ( ( ~ ( SV13 @ ( sK26_SY285 @ SV13 ) @ ( sK28_SY299 @ SV13 ) )
| ~ ( SV13 @ ( sK28_SY299 @ SV13 ) @ ( sK30_SY303 @ SV13 ) ) )
= $false )
| ( ( ~ ! [SY288: $i,SY289: $i] :
( ~ ( sK1_SY0 @ SY288 @ SY289 )
| ( SV13 @ SY288 @ SY289 ) ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(191,plain,
! [SV13: $i > $i > $o] :
( ( ( ! [SY305: $i] :
( ~ ( sK1_SY0 @ ( sK32_SY288 @ SV13 ) @ SY305 )
| ( SV13 @ ( sK32_SY288 @ SV13 ) @ SY305 ) ) )
= $false )
| ( ( SV13 @ ( sK26_SY285 @ SV13 ) @ ( sK30_SY303 @ SV13 ) )
= $false )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[186]) ).
thf(192,plain,
! [SV14: $i > $i > $o] :
( ( ( ~ ( SV14 @ ( sK27_SY290 @ SV14 ) @ ( sK29_SY301 @ SV14 ) )
| ~ ( SV14 @ ( sK29_SY301 @ SV14 ) @ ( sK31_SY304 @ SV14 ) ) )
= $false )
| ( ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( sK1_SY0 @ SY293 @ SY294 )
| ( SV14 @ SY293 @ SY294 ) ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(193,plain,
! [SV14: $i > $i > $o] :
( ( ( ! [SY306: $i] :
( ~ ( sK1_SY0 @ ( sK33_SY293 @ SV14 ) @ SY306 )
| ( SV14 @ ( sK33_SY293 @ SV14 ) @ SY306 ) ) )
= $false )
| ( ( SV14 @ ( sK27_SY290 @ SV14 ) @ ( sK31_SY304 @ SV14 ) )
= $false )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[188]) ).
thf(194,plain,
! [SV13: $i > $i > $o] :
( ( ( ~ ( SV13 @ ( sK26_SY285 @ SV13 ) @ ( sK28_SY299 @ SV13 ) ) )
= $false )
| ( ( ~ ! [SY288: $i,SY289: $i] :
( ~ ( sK1_SY0 @ SY288 @ SY289 )
| ( SV13 @ SY288 @ SY289 ) ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(195,plain,
! [SV13: $i > $i > $o] :
( ( ( ~ ( SV13 @ ( sK28_SY299 @ SV13 ) @ ( sK30_SY303 @ SV13 ) ) )
= $false )
| ( ( ~ ! [SY288: $i,SY289: $i] :
( ~ ( sK1_SY0 @ SY288 @ SY289 )
| ( SV13 @ SY288 @ SY289 ) ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(196,plain,
! [SV13: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK32_SY288 @ SV13 ) @ ( sK34_SY305 @ SV13 ) )
| ( SV13 @ ( sK32_SY288 @ SV13 ) @ ( sK34_SY305 @ SV13 ) ) )
= $false )
| ( ( SV13 @ ( sK26_SY285 @ SV13 ) @ ( sK30_SY303 @ SV13 ) )
= $false )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[191]) ).
thf(197,plain,
! [SV14: $i > $i > $o] :
( ( ( ~ ( SV14 @ ( sK27_SY290 @ SV14 ) @ ( sK29_SY301 @ SV14 ) ) )
= $false )
| ( ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( sK1_SY0 @ SY293 @ SY294 )
| ( SV14 @ SY293 @ SY294 ) ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(198,plain,
! [SV14: $i > $i > $o] :
( ( ( ~ ( SV14 @ ( sK29_SY301 @ SV14 ) @ ( sK31_SY304 @ SV14 ) ) )
= $false )
| ( ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( sK1_SY0 @ SY293 @ SY294 )
| ( SV14 @ SY293 @ SY294 ) ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(199,plain,
! [SV14: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK33_SY293 @ SV14 ) @ ( sK35_SY306 @ SV14 ) )
| ( SV14 @ ( sK33_SY293 @ SV14 ) @ ( sK35_SY306 @ SV14 ) ) )
= $false )
| ( ( SV14 @ ( sK27_SY290 @ SV14 ) @ ( sK31_SY304 @ SV14 ) )
= $false )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[193]) ).
thf(200,plain,
! [SV13: $i > $i > $o] :
( ( ( SV13 @ ( sK26_SY285 @ SV13 ) @ ( sK28_SY299 @ SV13 ) )
= $true )
| ( ( ~ ! [SY288: $i,SY289: $i] :
( ~ ( sK1_SY0 @ SY288 @ SY289 )
| ( SV13 @ SY288 @ SY289 ) ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(201,plain,
! [SV13: $i > $i > $o] :
( ( ( SV13 @ ( sK28_SY299 @ SV13 ) @ ( sK30_SY303 @ SV13 ) )
= $true )
| ( ( ~ ! [SY288: $i,SY289: $i] :
( ~ ( sK1_SY0 @ SY288 @ SY289 )
| ( SV13 @ SY288 @ SY289 ) ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(202,plain,
! [SV13: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK32_SY288 @ SV13 ) @ ( sK34_SY305 @ SV13 ) ) )
= $false )
| ( ( SV13 @ ( sK26_SY285 @ SV13 ) @ ( sK30_SY303 @ SV13 ) )
= $false )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(203,plain,
! [SV13: $i > $i > $o] :
( ( ( SV13 @ ( sK32_SY288 @ SV13 ) @ ( sK34_SY305 @ SV13 ) )
= $false )
| ( ( SV13 @ ( sK26_SY285 @ SV13 ) @ ( sK30_SY303 @ SV13 ) )
= $false )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(204,plain,
! [SV14: $i > $i > $o] :
( ( ( SV14 @ ( sK27_SY290 @ SV14 ) @ ( sK29_SY301 @ SV14 ) )
= $true )
| ( ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( sK1_SY0 @ SY293 @ SY294 )
| ( SV14 @ SY293 @ SY294 ) ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(205,plain,
! [SV14: $i > $i > $o] :
( ( ( SV14 @ ( sK29_SY301 @ SV14 ) @ ( sK31_SY304 @ SV14 ) )
= $true )
| ( ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( sK1_SY0 @ SY293 @ SY294 )
| ( SV14 @ SY293 @ SY294 ) ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(206,plain,
! [SV14: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK33_SY293 @ SV14 ) @ ( sK35_SY306 @ SV14 ) ) )
= $false )
| ( ( SV14 @ ( sK27_SY290 @ SV14 ) @ ( sK31_SY304 @ SV14 ) )
= $false )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(207,plain,
! [SV14: $i > $i > $o] :
( ( ( SV14 @ ( sK33_SY293 @ SV14 ) @ ( sK35_SY306 @ SV14 ) )
= $false )
| ( ( SV14 @ ( sK27_SY290 @ SV14 ) @ ( sK31_SY304 @ SV14 ) )
= $false )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(208,plain,
! [SV13: $i > $i > $o] :
( ( ( ! [SY288: $i,SY289: $i] :
( ~ ( sK1_SY0 @ SY288 @ SY289 )
| ( SV13 @ SY288 @ SY289 ) ) )
= $false )
| ( ( SV13 @ ( sK26_SY285 @ SV13 ) @ ( sK28_SY299 @ SV13 ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(209,plain,
! [SV13: $i > $i > $o] :
( ( ( ! [SY288: $i,SY289: $i] :
( ~ ( sK1_SY0 @ SY288 @ SY289 )
| ( SV13 @ SY288 @ SY289 ) ) )
= $false )
| ( ( SV13 @ ( sK28_SY299 @ SV13 ) @ ( sK30_SY303 @ SV13 ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(210,plain,
! [SV13: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK32_SY288 @ SV13 ) @ ( sK34_SY305 @ SV13 ) )
= $true )
| ( ( SV13 @ ( sK26_SY285 @ SV13 ) @ ( sK30_SY303 @ SV13 ) )
= $false )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(211,plain,
! [SV14: $i > $i > $o] :
( ( ( ! [SY293: $i,SY294: $i] :
( ~ ( sK1_SY0 @ SY293 @ SY294 )
| ( SV14 @ SY293 @ SY294 ) ) )
= $false )
| ( ( SV14 @ ( sK27_SY290 @ SV14 ) @ ( sK29_SY301 @ SV14 ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(212,plain,
! [SV14: $i > $i > $o] :
( ( ( ! [SY293: $i,SY294: $i] :
( ~ ( sK1_SY0 @ SY293 @ SY294 )
| ( SV14 @ SY293 @ SY294 ) ) )
= $false )
| ( ( SV14 @ ( sK29_SY301 @ SV14 ) @ ( sK31_SY304 @ SV14 ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(213,plain,
! [SV14: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK33_SY293 @ SV14 ) @ ( sK35_SY306 @ SV14 ) )
= $true )
| ( ( SV14 @ ( sK27_SY290 @ SV14 ) @ ( sK31_SY304 @ SV14 ) )
= $false )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(214,plain,
! [SV13: $i > $i > $o] :
( ( ( ! [SY307: $i] :
( ~ ( sK1_SY0 @ ( sK36_SY288 @ SV13 ) @ SY307 )
| ( SV13 @ ( sK36_SY288 @ SV13 ) @ SY307 ) ) )
= $false )
| ( ( SV13 @ ( sK26_SY285 @ SV13 ) @ ( sK28_SY299 @ SV13 ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[208]) ).
thf(215,plain,
! [SV13: $i > $i > $o] :
( ( ( ! [SY308: $i] :
( ~ ( sK1_SY0 @ ( sK37_SY288 @ SV13 ) @ SY308 )
| ( SV13 @ ( sK37_SY288 @ SV13 ) @ SY308 ) ) )
= $false )
| ( ( SV13 @ ( sK28_SY299 @ SV13 ) @ ( sK30_SY303 @ SV13 ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[209]) ).
thf(216,plain,
! [SV14: $i > $i > $o] :
( ( ( ! [SY309: $i] :
( ~ ( sK1_SY0 @ ( sK38_SY293 @ SV14 ) @ SY309 )
| ( SV14 @ ( sK38_SY293 @ SV14 ) @ SY309 ) ) )
= $false )
| ( ( SV14 @ ( sK27_SY290 @ SV14 ) @ ( sK29_SY301 @ SV14 ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[211]) ).
thf(217,plain,
! [SV14: $i > $i > $o] :
( ( ( ! [SY310: $i] :
( ~ ( sK1_SY0 @ ( sK39_SY293 @ SV14 ) @ SY310 )
| ( SV14 @ ( sK39_SY293 @ SV14 ) @ SY310 ) ) )
= $false )
| ( ( SV14 @ ( sK29_SY301 @ SV14 ) @ ( sK31_SY304 @ SV14 ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[212]) ).
thf(218,plain,
! [SV13: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK36_SY288 @ SV13 ) @ ( sK40_SY307 @ SV13 ) )
| ( SV13 @ ( sK36_SY288 @ SV13 ) @ ( sK40_SY307 @ SV13 ) ) )
= $false )
| ( ( SV13 @ ( sK26_SY285 @ SV13 ) @ ( sK28_SY299 @ SV13 ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[214]) ).
thf(219,plain,
! [SV13: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK37_SY288 @ SV13 ) @ ( sK41_SY308 @ SV13 ) )
| ( SV13 @ ( sK37_SY288 @ SV13 ) @ ( sK41_SY308 @ SV13 ) ) )
= $false )
| ( ( SV13 @ ( sK28_SY299 @ SV13 ) @ ( sK30_SY303 @ SV13 ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[215]) ).
thf(220,plain,
! [SV14: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK38_SY293 @ SV14 ) @ ( sK42_SY309 @ SV14 ) )
| ( SV14 @ ( sK38_SY293 @ SV14 ) @ ( sK42_SY309 @ SV14 ) ) )
= $false )
| ( ( SV14 @ ( sK27_SY290 @ SV14 ) @ ( sK29_SY301 @ SV14 ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[216]) ).
thf(221,plain,
! [SV14: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK39_SY293 @ SV14 ) @ ( sK43_SY310 @ SV14 ) )
| ( SV14 @ ( sK39_SY293 @ SV14 ) @ ( sK43_SY310 @ SV14 ) ) )
= $false )
| ( ( SV14 @ ( sK29_SY301 @ SV14 ) @ ( sK31_SY304 @ SV14 ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[217]) ).
thf(222,plain,
! [SV13: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK36_SY288 @ SV13 ) @ ( sK40_SY307 @ SV13 ) ) )
= $false )
| ( ( SV13 @ ( sK26_SY285 @ SV13 ) @ ( sK28_SY299 @ SV13 ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(223,plain,
! [SV13: $i > $i > $o] :
( ( ( SV13 @ ( sK36_SY288 @ SV13 ) @ ( sK40_SY307 @ SV13 ) )
= $false )
| ( ( SV13 @ ( sK26_SY285 @ SV13 ) @ ( sK28_SY299 @ SV13 ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(224,plain,
! [SV13: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK37_SY288 @ SV13 ) @ ( sK41_SY308 @ SV13 ) ) )
= $false )
| ( ( SV13 @ ( sK28_SY299 @ SV13 ) @ ( sK30_SY303 @ SV13 ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(225,plain,
! [SV13: $i > $i > $o] :
( ( ( SV13 @ ( sK37_SY288 @ SV13 ) @ ( sK41_SY308 @ SV13 ) )
= $false )
| ( ( SV13 @ ( sK28_SY299 @ SV13 ) @ ( sK30_SY303 @ SV13 ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(226,plain,
! [SV14: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK38_SY293 @ SV14 ) @ ( sK42_SY309 @ SV14 ) ) )
= $false )
| ( ( SV14 @ ( sK27_SY290 @ SV14 ) @ ( sK29_SY301 @ SV14 ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(227,plain,
! [SV14: $i > $i > $o] :
( ( ( SV14 @ ( sK38_SY293 @ SV14 ) @ ( sK42_SY309 @ SV14 ) )
= $false )
| ( ( SV14 @ ( sK27_SY290 @ SV14 ) @ ( sK29_SY301 @ SV14 ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(228,plain,
! [SV14: $i > $i > $o] :
( ( ( ~ ( sK1_SY0 @ ( sK39_SY293 @ SV14 ) @ ( sK43_SY310 @ SV14 ) ) )
= $false )
| ( ( SV14 @ ( sK29_SY301 @ SV14 ) @ ( sK31_SY304 @ SV14 ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(229,plain,
! [SV14: $i > $i > $o] :
( ( ( SV14 @ ( sK39_SY293 @ SV14 ) @ ( sK43_SY310 @ SV14 ) )
= $false )
| ( ( SV14 @ ( sK29_SY301 @ SV14 ) @ ( sK31_SY304 @ SV14 ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(230,plain,
! [SV13: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK36_SY288 @ SV13 ) @ ( sK40_SY307 @ SV13 ) )
= $true )
| ( ( SV13 @ ( sK26_SY285 @ SV13 ) @ ( sK28_SY299 @ SV13 ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(231,plain,
! [SV13: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK37_SY288 @ SV13 ) @ ( sK41_SY308 @ SV13 ) )
= $true )
| ( ( SV13 @ ( sK28_SY299 @ SV13 ) @ ( sK30_SY303 @ SV13 ) )
= $true )
| ( ( SV13 @ sK22_SX0 @ sK23_SY222 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(232,plain,
! [SV14: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK38_SY293 @ SV14 ) @ ( sK42_SY309 @ SV14 ) )
= $true )
| ( ( SV14 @ ( sK27_SY290 @ SV14 ) @ ( sK29_SY301 @ SV14 ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(233,plain,
! [SV14: $i > $i > $o] :
( ( ( sK1_SY0 @ ( sK39_SY293 @ SV14 ) @ ( sK43_SY310 @ SV14 ) )
= $true )
| ( ( SV14 @ ( sK29_SY301 @ SV14 ) @ ( sK31_SY304 @ SV14 ) )
= $true )
| ( ( SV14 @ sK23_SY222 @ sK24_SY243 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(234,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[131,233,232,231,230,229,227,225,223,213,210,207,203,189,170,146,137]) ).
thf(235,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[234,109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU496^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.16 % Computer : n019.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Oct 6 15:26:16 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.29
% 0.51/0.29 No.of.Axioms: 0
% 0.51/0.29
% 0.51/0.29 Length.of.Defs: 5096
% 0.51/0.29
% 0.51/0.29 Contains.Choice.Funs: false
% 0.51/0.29 .........
% 0.51/0.29
% 0.51/0.29 ********************************
% 0.51/0.29 * All subproblems solved! *
% 0.51/0.29 ********************************
% 0.51/0.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:2,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:234,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.51/0.29
% 0.51/0.29 %**** Beginning of derivation protocol ****
% 0.51/0.29 % SZS output start CNFRefutation
% See solution above
% 0.51/0.30
% 0.51/0.30 %**** End of derivation protocol ****
% 0.51/0.30 %**** no. of clauses in derivation: 235 ****
% 0.51/0.30 %**** clause counter: 234 ****
% 0.51/0.30
% 0.51/0.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:2,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:234,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------