%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU492^1 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 10:44:35 AM UTC 2026
% Result : Theorem 0.36s 0.30s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 30
% Syntax : Number of formulae : 242 ( 47 unt; 0 typ; 29 def)
% Number of atoms : 2752 ( 764 equ; 0 cnn)
% Maximal formula atoms : 6 ( 11 avg)
% Number of connectives : 5117 (1380 ~;1030 |; 26 &;2656 @)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 111 ( 111 >; 0 *; 0 +; 0 <<)
% Number of symbols : 65 ( 62 usr; 34 con; 0-3 aty)
% Number of variables : 899 ( 57 ^; 837 !; 5 ?; 899 :)
% 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_SY41,type,
sK10_SY41: $i ).
thf(tp_sK11_SY41,type,
sK11_SY41: $i ).
thf(tp_sK12_SY42,type,
sK12_SY42: $i ).
thf(tp_sK13_SY42,type,
sK13_SY42: $i ).
thf(tp_sK14_SY41,type,
sK14_SY41: $i ).
thf(tp_sK15_SY41,type,
sK15_SY41: $i ).
thf(tp_sK16_SY62,type,
sK16_SY62: $i ).
thf(tp_sK17_SY41,type,
sK17_SY41: $i ).
thf(tp_sK18_SY41,type,
sK18_SY41: $i ).
thf(tp_sK19_SY64,type,
sK19_SY64: $i ).
thf(tp_sK1_SV1,type,
sK1_SV1: $i > $i > $o ).
thf(tp_sK20_SY66,type,
sK20_SY66: $i ).
thf(tp_sK21_SY67,type,
sK21_SY67: $i ).
thf(tp_sK22_SY42,type,
sK22_SY42: $i ).
thf(tp_sK23_SY42,type,
sK23_SY42: $i ).
thf(tp_sK24_SY42,type,
sK24_SY42: $i ).
thf(tp_sK25_SY42,type,
sK25_SY42: $i ).
thf(tp_sK26_SY68,type,
sK26_SY68: $i ).
thf(tp_sK27_SY70,type,
sK27_SY70: $i ).
thf(tp_sK28_SY72,type,
sK28_SY72: $i ).
thf(tp_sK29_SY74,type,
sK29_SY74: $i ).
thf(tp_sK2_SY36,type,
sK2_SY36: $i ).
thf(tp_sK30_SY76,type,
sK30_SY76: $i ).
thf(tp_sK31_SY77,type,
sK31_SY77: $i ).
thf(tp_sK32_SY78,type,
sK32_SY78: $i ).
thf(tp_sK33_SY79,type,
sK33_SY79: $i ).
thf(tp_sK3_SY49,type,
sK3_SY49: $i ).
thf(tp_sK4_SY38,type,
sK4_SY38: $i ).
thf(tp_sK5_SY38,type,
sK5_SY38: $i ).
thf(tp_sK6_SY50,type,
sK6_SY50: $i ).
thf(tp_sK7_SY52,type,
sK7_SY52: $i ).
thf(tp_sK8_SY54,type,
sK8_SY54: $i ).
thf(tp_sK9_SY55,type,
sK9_SY55: $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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',inflationary) ).
thf(innf,definition,
( innf
= ( ^ [R: $i > $i > $o,X: $i] :
~ ? [Y: $i] : ( R @ X @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_normal_form) ).
thf(inv,definition,
( inv
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] : ( R @ Y @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
thf(irrefl,definition,
( irrefl
= ( ^ [R: $i > $i > $o] :
! [X: $i] :
~ ( R @ X @ X ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',normalizing) ).
thf(po,definition,
( po
= ( ^ [R: $i > $i > $o] :
( ( refl @ R )
& ( antisymm @ R )
& ( trans @ R ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',reflexive_closure) ).
thf(refl,definition,
( refl
= ( ^ [R: $i > $i > $o] :
! [X: $i] : ( R @ X @ X ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',semi_confluent) ).
thf(so,definition,
( so
= ( ^ [R: $i > $i > $o] :
( ( asymm @ R )
& ( trans @ R ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',transitive) ).
thf(trc,definition,
( trc
= ( ^ [R: $i > $i > $o] : ( rc @ ( tc @ R ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitive_reflexive_closure) ).
thf(trsc,definition,
( trsc
= ( ^ [R: $i > $i > $o] : ( sc @ ( rc @ ( tc @ R ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitive_reflexive_symmetric_closure) ).
thf(1,conjecture,
( so
= ( ^ [R: $i > $i > $o] :
( ( irrefl @ R )
& ( trans @ R ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',alternative_definition_of_strict_order) ).
thf(2,negated_conjecture,
( ( so
= ( ^ [R: $i > $i > $o] :
( ( irrefl @ R )
& ( trans @ R ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ^ [SY5: $i > $i > $o] :
( ! [SY6: $i,SY7: $i] :
( ( SY5 @ SY6 @ SY7 )
=> ~ ( SY5 @ SY7 @ SY6 ) )
& ! [SY8: $i,SY9: $i,SY10: $i] :
( ( ( SY5 @ SY8 @ SY9 )
& ( SY5 @ SY9 @ SY10 ) )
=> ( SY5 @ SY8 @ SY10 ) ) ) )
= ( ^ [SY0: $i > $i > $o] :
( ! [SY1: $i] :
~ ( SY0 @ SY1 @ SY1 )
& ! [SY2: $i,SY3: $i,SY4: $i] :
( ( ( SY0 @ SY2 @ SY3 )
& ( SY0 @ SY3 @ SY4 ) )
=> ( SY0 @ SY2 @ SY4 ) ) ) ) )
= $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,
( ( ( ^ [SY5: $i > $i > $o] :
( ! [SY6: $i,SY7: $i] :
( ( SY5 @ SY6 @ SY7 )
=> ~ ( SY5 @ SY7 @ SY6 ) )
& ! [SY8: $i,SY9: $i,SY10: $i] :
( ( ( SY5 @ SY8 @ SY9 )
& ( SY5 @ SY9 @ SY10 ) )
=> ( SY5 @ SY8 @ SY10 ) ) ) )
!= ( ^ [SY0: $i > $i > $o] :
( ! [SY1: $i] :
~ ( SY0 @ SY1 @ SY1 )
& ! [SY2: $i,SY3: $i,SY4: $i] :
( ( ( SY0 @ SY2 @ SY3 )
& ( SY0 @ SY3 @ SY4 ) )
=> ( SY0 @ SY2 @ SY4 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ( ^ [SY5: $i > $i > $o] :
( ! [SY6: $i,SY7: $i] :
( ( SY5 @ SY6 @ SY7 )
=> ~ ( SY5 @ SY7 @ SY6 ) )
& ! [SY8: $i,SY9: $i,SY10: $i] :
( ( ( SY5 @ SY8 @ SY9 )
& ( SY5 @ SY9 @ SY10 ) )
=> ( SY5 @ SY8 @ SY10 ) ) ) )
!= ( ^ [SY0: $i > $i > $o] :
( ! [SY1: $i] :
~ ( SY0 @ SY1 @ SY1 )
& ! [SY2: $i,SY3: $i,SY4: $i] :
( ( ( SY0 @ SY2 @ SY3 )
& ( SY0 @ SY3 @ SY4 ) )
=> ( SY0 @ SY2 @ SY4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(6,plain,
( ( ( ^ [SX0: $i > $i > $o] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX1 ) )
| ~ ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) ) )
!= ( ^ [SX0: $i > $i > $o] :
~ ( ~ ! [SX1: $i] :
~ ( SX0 @ SX1 @ SX1 )
| ~ ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5,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(7,plain,
( ( ( ^ [SX0: $i > $i > $o] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX1 ) )
| ~ ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) ) )
= ( ^ [SX0: $i > $i > $o] :
~ ( ~ ! [SX1: $i] :
~ ( SX0 @ SX1 @ SX1 )
| ~ ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SV1: $i > $i > $o] :
( ( ~ ( ~ ! [SY27: $i,SY28: $i] :
( ~ ( SV1 @ SY27 @ SY28 )
| ~ ( SV1 @ SY28 @ SY27 ) )
| ~ ! [SY29: $i,SY30: $i,SY31: $i] :
( ~ ~ ( ~ ( SV1 @ SY29 @ SY30 )
| ~ ( SV1 @ SY30 @ SY31 ) )
| ( SV1 @ SY29 @ SY31 ) ) ) )
= ( ~ ( ~ ! [SY32: $i] :
~ ( SV1 @ SY32 @ SY32 )
| ~ ! [SY33: $i,SY34: $i,SY35: $i] :
( ~ ~ ( ~ ( SV1 @ SY33 @ SY34 )
| ~ ( SV1 @ SY34 @ SY35 ) )
| ( SV1 @ SY33 @ SY35 ) ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[7]) ).
thf(9,plain,
( ( ( ^ [SX0: $i > $i > $o] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX1 ) )
| ~ ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) ) )
= ( ^ [SX0: $i > $i > $o] :
~ ( ~ ! [SX1: $i] :
~ ( SX0 @ SX1 @ SX1 )
| ~ ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[7]) ).
thf(10,plain,
( ( ( ~ ( ~ ! [SY36: $i,SY37: $i] :
( ~ ( sK1_SV1 @ SY36 @ SY37 )
| ~ ( sK1_SV1 @ SY37 @ SY36 ) )
| ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) ) )
= ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[8]) ).
thf(11,plain,
( ( ~ ( ~ ( ~ ! [SY36: $i,SY37: $i] :
( ~ ( sK1_SV1 @ SY36 @ SY37 )
| ~ ( sK1_SV1 @ SY37 @ SY36 ) )
| ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) )
| ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
| ~ ( ~ ~ ( ~ ! [SY36: $i,SY37: $i] :
( ~ ( sK1_SV1 @ SY36 @ SY37 )
| ~ ( sK1_SV1 @ SY37 @ SY36 ) )
| ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) )
| ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[10]) ).
thf(12,plain,
( ( ( ~ ( ~ ! [SY36: $i,SY37: $i] :
( ~ ( sK1_SV1 @ SY36 @ SY37 )
| ~ ( sK1_SV1 @ SY37 @ SY36 ) )
| ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) ) )
= ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ( ~ ( ~ ! [SY36: $i,SY37: $i] :
( ~ ( sK1_SV1 @ SY36 @ SY37 )
| ~ ( sK1_SV1 @ SY37 @ SY36 ) )
| ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) )
| ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ( ~ ~ ( ~ ! [SY36: $i,SY37: $i] :
( ~ ( sK1_SV1 @ SY36 @ SY37 )
| ~ ( sK1_SV1 @ SY37 @ SY36 ) )
| ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) )
| ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[11]) ).
thf(15,plain,
( ( ~ ( ~ ! [SY36: $i,SY37: $i] :
( ~ ( sK1_SV1 @ SY36 @ SY37 )
| ~ ( sK1_SV1 @ SY37 @ SY36 ) )
| ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) )
| ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ~ ( ~ ! [SY36: $i,SY37: $i] :
( ~ ( sK1_SV1 @ SY36 @ SY37 )
| ~ ( sK1_SV1 @ SY37 @ SY36 ) )
| ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) )
| ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ( ~ ( ~ ! [SY36: $i,SY37: $i] :
( ~ ( sK1_SV1 @ SY36 @ SY37 )
| ~ ( sK1_SV1 @ SY37 @ SY36 ) )
| ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( ( ~ ~ ( ~ ! [SY36: $i,SY37: $i] :
( ~ ( sK1_SV1 @ SY36 @ SY37 )
| ~ ( sK1_SV1 @ SY37 @ SY36 ) )
| ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ( ~ ! [SY36: $i,SY37: $i] :
( ~ ( sK1_SV1 @ SY36 @ SY37 )
| ~ ( sK1_SV1 @ SY37 @ SY36 ) )
| ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(20,plain,
( ( ( ~ ( ~ ! [SY36: $i,SY37: $i] :
( ~ ( sK1_SV1 @ SY36 @ SY37 )
| ~ ( sK1_SV1 @ SY37 @ SY36 ) )
| ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(21,plain,
( ( ( ~ ! [SY36: $i,SY37: $i] :
( ~ ( sK1_SV1 @ SY36 @ SY37 )
| ~ ( sK1_SV1 @ SY37 @ SY36 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(22,plain,
( ( ( ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(23,plain,
( ( ( ~ ! [SY36: $i,SY37: $i] :
( ~ ( sK1_SV1 @ SY36 @ SY37 )
| ~ ( sK1_SV1 @ SY37 @ SY36 ) )
| ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(24,plain,
( ( ( ! [SY36: $i,SY37: $i] :
( ~ ( sK1_SV1 @ SY36 @ SY37 )
| ~ ( sK1_SV1 @ SY37 @ SY36 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(25,plain,
( ( ( ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(26,plain,
( ( ( ~ ! [SY36: $i,SY37: $i] :
( ~ ( sK1_SV1 @ SY36 @ SY37 )
| ~ ( sK1_SV1 @ SY37 @ SY36 ) ) )
= $true )
| ( ( ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV2: $i] :
( ( ( ! [SY45: $i] :
( ~ ( sK1_SV1 @ SV2 @ SY45 )
| ~ ( sK1_SV1 @ SY45 @ SV2 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(28,plain,
! [SV3: $i] :
( ( ( ! [SY46: $i,SY47: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SV3 @ SY46 )
| ~ ( sK1_SV1 @ SY46 @ SY47 ) )
| ( sK1_SV1 @ SV3 @ SY47 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(29,plain,
( ( ( ! [SY36: $i,SY37: $i] :
( ~ ( sK1_SV1 @ SY36 @ SY37 )
| ~ ( sK1_SV1 @ SY37 @ SY36 ) ) )
= $false )
| ( ( ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(30,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ( sK1_SV1 @ SV2 @ SV4 )
| ~ ( sK1_SV1 @ SV4 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(31,plain,
! [SV5: $i,SV3: $i] :
( ( ( ! [SY48: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SV3 @ SV5 )
| ~ ( sK1_SV1 @ SV5 @ SY48 ) )
| ( sK1_SV1 @ SV3 @ SY48 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(32,plain,
( ( ( ! [SY49: $i] :
( ~ ( sK1_SV1 @ sK2_SY36 @ SY49 )
| ~ ( sK1_SV1 @ SY49 @ sK2_SY36 ) ) )
= $false )
| ( ( ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[29]) ).
thf(33,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ( sK1_SV1 @ SV2 @ SV4 ) )
= $true )
| ( ( ~ ( sK1_SV1 @ SV4 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV6: $i,SV5: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( sK1_SV1 @ SV3 @ SV5 )
| ~ ( sK1_SV1 @ SV5 @ SV6 ) )
| ( sK1_SV1 @ SV3 @ SV6 ) )
= $true )
| ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(35,plain,
( ( ( ~ ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
| ~ ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 ) )
= $false )
| ( ( ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[32]) ).
thf(36,plain,
! [SV4: $i,SV2: $i] :
( ( ( sK1_SV1 @ SV2 @ SV4 )
= $false )
| ( ( ~ ( sK1_SV1 @ SV4 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(37,plain,
! [SV6: $i,SV5: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( sK1_SV1 @ SV3 @ SV5 )
| ~ ( sK1_SV1 @ SV5 @ SV6 ) ) )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(38,plain,
( ( ( ~ ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 ) )
= $false )
| ( ( ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(39,plain,
( ( ( ~ ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 ) )
= $false )
| ( ( ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(40,plain,
! [SV2: $i,SV4: $i] :
( ( ( sK1_SV1 @ SV4 @ SV2 )
= $false )
| ( ( sK1_SV1 @ SV2 @ SV4 )
= $false )
| ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(41,plain,
! [SV6: $i,SV5: $i,SV3: $i] :
( ( ( ~ ( ~ ( sK1_SV1 @ SV3 @ SV5 )
| ~ ( sK1_SV1 @ SV5 @ SV6 ) ) )
= $false )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(42,plain,
( ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(43,plain,
( ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( ~ ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(44,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 @ SV4 )
= $false )
| ( ( sK1_SV1 @ SV4 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(45,plain,
! [SV6: $i,SV5: $i,SV3: $i] :
( ( ( ~ ( sK1_SV1 @ SV3 @ SV5 )
| ~ ( sK1_SV1 @ SV5 @ SV6 ) )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(46,plain,
( ( ( ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) )
= $false )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(47,plain,
( ( ( ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY38 @ SY39 )
| ~ ( sK1_SV1 @ SY39 @ SY40 ) )
| ( sK1_SV1 @ SY38 @ SY40 ) ) )
= $false )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 ) )
= $false )
| ( ( sK1_SV1 @ SV2 @ SV4 )
= $false )
| ( ( sK1_SV1 @ SV4 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(49,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $false )
| ( ( sK1_SV1 @ SV2 @ SV4 )
= $false )
| ( ( sK1_SV1 @ SV4 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(50,plain,
! [SV6: $i,SV5: $i,SV3: $i] :
( ( ( ~ ( sK1_SV1 @ SV3 @ SV5 ) )
= $true )
| ( ( ~ ( sK1_SV1 @ SV5 @ SV6 ) )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(51,plain,
( ( ( ! [SY50: $i,SY51: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ sK4_SY38 @ SY50 )
| ~ ( sK1_SV1 @ SY50 @ SY51 ) )
| ( sK1_SV1 @ sK4_SY38 @ SY51 ) ) )
= $false )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[46]) ).
thf(52,plain,
( ( ( ! [SY52: $i,SY53: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ sK5_SY38 @ SY52 )
| ~ ( sK1_SV1 @ SY52 @ SY53 ) )
| ( sK1_SV1 @ sK5_SY38 @ SY53 ) ) )
= $false )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[47]) ).
thf(53,plain,
! [SV4: $i,SV2: $i] :
( ( ( ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 ) )
= $true )
| ( ( sK1_SV1 @ SV2 @ SV4 )
= $false )
| ( ( sK1_SV1 @ SV4 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(54,plain,
! [SV4: $i,SV2: $i] :
( ( ( ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ SV2 @ SV4 )
= $false )
| ( ( sK1_SV1 @ SV4 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(55,plain,
! [SV6: $i,SV5: $i,SV3: $i] :
( ( ( sK1_SV1 @ SV3 @ SV5 )
= $false )
| ( ( ~ ( sK1_SV1 @ SV5 @ SV6 ) )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(56,plain,
( ( ( ! [SY54: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
| ~ ( sK1_SV1 @ sK6_SY50 @ SY54 ) )
| ( sK1_SV1 @ sK4_SY38 @ SY54 ) ) )
= $false )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[51]) ).
thf(57,plain,
( ( ( ! [SY55: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
| ~ ( sK1_SV1 @ sK7_SY52 @ SY55 ) )
| ( sK1_SV1 @ sK5_SY38 @ SY55 ) ) )
= $false )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[52]) ).
thf(58,plain,
! [SV4: $i,SV2: $i,SV7: $i] :
( ( ( ~ ( sK1_SV1 @ SV7 @ SV7 ) )
= $true )
| ( ( sK1_SV1 @ SV2 @ SV4 )
= $false )
| ( ( sK1_SV1 @ SV4 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(59,plain,
! [SV4: $i,SV2: $i,SV8: $i] :
( ( ( ! [SY56: $i,SY57: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SV8 @ SY56 )
| ~ ( sK1_SV1 @ SY56 @ SY57 ) )
| ( sK1_SV1 @ SV8 @ SY57 ) ) )
= $true )
| ( ( sK1_SV1 @ SV2 @ SV4 )
= $false )
| ( ( sK1_SV1 @ SV4 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(60,plain,
! [SV3: $i,SV6: $i,SV5: $i] :
( ( ( sK1_SV1 @ SV5 @ SV6 )
= $false )
| ( ( sK1_SV1 @ SV3 @ SV5 )
= $false )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(61,plain,
( ( ( ~ ~ ( ~ ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
| ~ ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 ) )
| ( sK1_SV1 @ sK4_SY38 @ sK8_SY54 ) )
= $false )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[56]) ).
thf(62,plain,
( ( ( ~ ~ ( ~ ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
| ~ ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 ) )
| ( sK1_SV1 @ sK5_SY38 @ sK9_SY55 ) )
= $false )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[57]) ).
thf(63,plain,
! [SV4: $i,SV2: $i,SV7: $i] :
( ( ( sK1_SV1 @ SV7 @ SV7 )
= $false )
| ( ( sK1_SV1 @ SV2 @ SV4 )
= $false )
| ( ( sK1_SV1 @ SV4 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(64,plain,
! [SV4: $i,SV2: $i,SV9: $i,SV8: $i] :
( ( ( ! [SY58: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SV8 @ SV9 )
| ~ ( sK1_SV1 @ SV9 @ SY58 ) )
| ( sK1_SV1 @ SV8 @ SY58 ) ) )
= $true )
| ( ( sK1_SV1 @ SV2 @ SV4 )
= $false )
| ( ( sK1_SV1 @ SV4 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(65,plain,
! [SV5: $i,SV6: $i,SV3: $i] :
( ( ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $false )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV5 )
= $false )
| ( ( sK1_SV1 @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(66,plain,
( ( ( ~ ~ ( ~ ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
| ~ ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 ) ) )
= $false )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(67,plain,
( ( ( sK1_SV1 @ sK4_SY38 @ sK8_SY54 )
= $false )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(68,plain,
( ( ( ~ ~ ( ~ ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
| ~ ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 ) ) )
= $false )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(69,plain,
( ( ( sK1_SV1 @ sK5_SY38 @ sK9_SY55 )
= $false )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(70,plain,
! [SV4: $i,SV2: $i,SV10: $i,SV9: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( sK1_SV1 @ SV8 @ SV9 )
| ~ ( sK1_SV1 @ SV9 @ SV10 ) )
| ( sK1_SV1 @ SV8 @ SV10 ) )
= $true )
| ( ( sK1_SV1 @ SV2 @ SV4 )
= $false )
| ( ( sK1_SV1 @ SV4 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(71,plain,
! [SV5: $i,SV6: $i,SV3: $i] :
( ( ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 ) )
= $false )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV5 )
= $false )
| ( ( sK1_SV1 @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(72,plain,
! [SV5: $i,SV6: $i,SV3: $i] :
( ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $false )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV5 )
= $false )
| ( ( sK1_SV1 @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(73,plain,
( ( ( ~ ( ~ ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
| ~ ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(74,plain,
( ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $false )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK8_SY54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(75,plain,
( ( ( ~ ( ~ ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
| ~ ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 ) ) )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(76,plain,
( ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $false )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK9_SY55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(77,plain,
! [SV4: $i,SV2: $i,SV10: $i,SV9: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( sK1_SV1 @ SV8 @ SV9 )
| ~ ( sK1_SV1 @ SV9 @ SV10 ) ) )
= $true )
| ( ( sK1_SV1 @ SV8 @ SV10 )
= $true )
| ( ( sK1_SV1 @ SV2 @ SV4 )
= $false )
| ( ( sK1_SV1 @ SV4 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(78,plain,
! [SV5: $i,SV6: $i,SV3: $i] :
( ( ( ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 ) )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV5 )
= $false )
| ( ( sK1_SV1 @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(79,plain,
! [SV5: $i,SV6: $i,SV3: $i] :
( ( ( ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV5 )
= $false )
| ( ( sK1_SV1 @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(80,plain,
( ( ( ~ ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
| ~ ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 ) )
= $false )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(81,plain,
( ( ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK8_SY54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(82,plain,
( ( ( ~ ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
| ~ ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 ) )
= $false )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(83,plain,
( ( ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK9_SY55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(84,plain,
! [SV4: $i,SV2: $i,SV10: $i,SV9: $i,SV8: $i] :
( ( ( ~ ( ~ ( sK1_SV1 @ SV8 @ SV9 )
| ~ ( sK1_SV1 @ SV9 @ SV10 ) ) )
= $false )
| ( ( sK1_SV1 @ SV8 @ SV10 )
= $true )
| ( ( sK1_SV1 @ SV2 @ SV4 )
= $false )
| ( ( sK1_SV1 @ SV4 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(85,plain,
! [SV5: $i,SV6: $i,SV3: $i,SV11: $i] :
( ( ( ~ ( sK1_SV1 @ SV11 @ SV11 ) )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV5 )
= $false )
| ( ( sK1_SV1 @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(86,plain,
! [SV5: $i,SV6: $i,SV3: $i,SV12: $i] :
( ( ( ! [SY59: $i,SY60: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SV12 @ SY59 )
| ~ ( sK1_SV1 @ SY59 @ SY60 ) )
| ( sK1_SV1 @ SV12 @ SY60 ) ) )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV5 )
= $false )
| ( ( sK1_SV1 @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(87,plain,
( ( ( ~ ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 ) )
= $false )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(88,plain,
( ( ( ~ ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 ) )
= $false )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(89,plain,
( ( ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 ) )
= $true )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK8_SY54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(90,plain,
( ( ( ~ ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 ) )
= $false )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(91,plain,
( ( ( ~ ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 ) )
= $false )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(92,plain,
( ( ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 ) )
= $true )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK9_SY55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(93,plain,
! [SV4: $i,SV2: $i,SV10: $i,SV9: $i,SV8: $i] :
( ( ( ~ ( sK1_SV1 @ SV8 @ SV9 )
| ~ ( sK1_SV1 @ SV9 @ SV10 ) )
= $true )
| ( ( sK1_SV1 @ SV8 @ SV10 )
= $true )
| ( ( sK1_SV1 @ SV2 @ SV4 )
= $false )
| ( ( sK1_SV1 @ SV4 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(94,plain,
! [SV5: $i,SV6: $i,SV3: $i,SV11: $i] :
( ( ( sK1_SV1 @ SV11 @ SV11 )
= $false )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV5 )
= $false )
| ( ( sK1_SV1 @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(95,plain,
! [SV5: $i,SV6: $i,SV3: $i,SV13: $i,SV12: $i] :
( ( ( ! [SY61: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SV12 @ SV13 )
| ~ ( sK1_SV1 @ SV13 @ SY61 ) )
| ( sK1_SV1 @ SV12 @ SY61 ) ) )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV5 )
= $false )
| ( ( sK1_SV1 @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(96,plain,
( ( ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(97,plain,
( ( ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(98,plain,
( ( ( ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 ) )
= $false )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK8_SY54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(99,plain,
( ( ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(100,plain,
( ( ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( ~ ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(101,plain,
( ( ( ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 ) )
= $false )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK9_SY55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(102,plain,
! [SV4: $i,SV2: $i,SV10: $i,SV9: $i,SV8: $i] :
( ( ( ~ ( sK1_SV1 @ SV8 @ SV9 ) )
= $true )
| ( ( ~ ( sK1_SV1 @ SV9 @ SV10 ) )
= $true )
| ( ( sK1_SV1 @ SV8 @ SV10 )
= $true )
| ( ( sK1_SV1 @ SV2 @ SV4 )
= $false )
| ( ( sK1_SV1 @ SV4 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(103,plain,
! [SV5: $i,SV6: $i,SV3: $i,SV14: $i,SV13: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ( sK1_SV1 @ SV12 @ SV13 )
| ~ ( sK1_SV1 @ SV13 @ SV14 ) )
| ( sK1_SV1 @ SV12 @ SV14 ) )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV5 )
= $false )
| ( ( sK1_SV1 @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(104,plain,
( ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $false )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(105,plain,
( ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $false )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(106,plain,
( ( ( ~ ( sK1_SV1 @ sK10_SY41 @ sK10_SY41 ) )
= $false )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK8_SY54 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[98]) ).
thf(107,plain,
( ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $false )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(108,plain,
( ( ( ~ ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) ) )
= $false )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(109,plain,
( ( ( ~ ( sK1_SV1 @ sK11_SY41 @ sK11_SY41 ) )
= $false )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK9_SY55 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[101]) ).
thf(110,plain,
! [SV4: $i,SV2: $i,SV10: $i,SV9: $i,SV8: $i] :
( ( ( sK1_SV1 @ SV8 @ SV9 )
= $false )
| ( ( ~ ( sK1_SV1 @ SV9 @ SV10 ) )
= $true )
| ( ( sK1_SV1 @ SV8 @ SV10 )
= $true )
| ( ( sK1_SV1 @ SV2 @ SV4 )
= $false )
| ( ( sK1_SV1 @ SV4 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(111,plain,
! [SV5: $i,SV6: $i,SV3: $i,SV14: $i,SV13: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ( sK1_SV1 @ SV12 @ SV13 )
| ~ ( sK1_SV1 @ SV13 @ SV14 ) ) )
= $true )
| ( ( sK1_SV1 @ SV12 @ SV14 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV5 )
= $false )
| ( ( sK1_SV1 @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(112,plain,
( ( ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(113,plain,
( ( ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(114,plain,
( ( ( sK1_SV1 @ sK10_SY41 @ sK10_SY41 )
= $true )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK8_SY54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(115,plain,
( ( ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(116,plain,
( ( ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 )
| ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(117,plain,
( ( ( sK1_SV1 @ sK11_SY41 @ sK11_SY41 )
= $true )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK9_SY55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(118,plain,
! [SV4: $i,SV2: $i,SV8: $i,SV10: $i,SV9: $i] :
( ( ( sK1_SV1 @ SV9 @ SV10 )
= $false )
| ( ( sK1_SV1 @ SV8 @ SV9 )
= $false )
| ( ( sK1_SV1 @ SV8 @ SV10 )
= $true )
| ( ( sK1_SV1 @ SV2 @ SV4 )
= $false )
| ( ( sK1_SV1 @ SV4 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(119,plain,
! [SV5: $i,SV6: $i,SV3: $i,SV14: $i,SV13: $i,SV12: $i] :
( ( ( ~ ( ~ ( sK1_SV1 @ SV12 @ SV13 )
| ~ ( sK1_SV1 @ SV13 @ SV14 ) ) )
= $false )
| ( ( sK1_SV1 @ SV12 @ SV14 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV5 )
= $false )
| ( ( sK1_SV1 @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(120,plain,
( ( ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 ) )
= $true )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(121,plain,
( ( ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 ) )
= $true )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(122,plain,
( ( ( ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $false )
| ( ( sK1_SV1 @ sK10_SY41 @ sK10_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK8_SY54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(123,plain,
( ( ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 ) )
= $true )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(124,plain,
( ( ( ~ ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 ) )
= $true )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(125,plain,
( ( ( ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $false )
| ( ( sK1_SV1 @ sK11_SY41 @ sK11_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK9_SY55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(126,plain,
! [SV5: $i,SV6: $i,SV3: $i,SV14: $i,SV13: $i,SV12: $i] :
( ( ( ~ ( sK1_SV1 @ SV12 @ SV13 )
| ~ ( sK1_SV1 @ SV13 @ SV14 ) )
= $true )
| ( ( sK1_SV1 @ SV12 @ SV14 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV5 )
= $false )
| ( ( sK1_SV1 @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(127,plain,
( ( ( ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 ) )
= $false )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(128,plain,
( ( ( ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 ) )
= $false )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(129,plain,
( ( ( ! [SY62: $i,SY63: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ sK12_SY42 @ SY62 )
| ~ ( sK1_SV1 @ SY62 @ SY63 ) )
| ( sK1_SV1 @ sK12_SY42 @ SY63 ) ) )
= $false )
| ( ( sK1_SV1 @ sK10_SY41 @ sK10_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK8_SY54 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[122]) ).
thf(130,plain,
( ( ( ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 ) )
= $false )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(131,plain,
( ( ( ! [SY41: $i] :
~ ( sK1_SV1 @ SY41 @ SY41 ) )
= $false )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(132,plain,
( ( ( ! [SY64: $i,SY65: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ sK13_SY42 @ SY64 )
| ~ ( sK1_SV1 @ SY64 @ SY65 ) )
| ( sK1_SV1 @ sK13_SY42 @ SY65 ) ) )
= $false )
| ( ( sK1_SV1 @ sK11_SY41 @ sK11_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK9_SY55 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[125]) ).
thf(133,plain,
! [SV5: $i,SV6: $i,SV3: $i,SV14: $i,SV13: $i,SV12: $i] :
( ( ( ~ ( sK1_SV1 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ( sK1_SV1 @ SV13 @ SV14 ) )
= $true )
| ( ( sK1_SV1 @ SV12 @ SV14 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV5 )
= $false )
| ( ( sK1_SV1 @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(134,plain,
( ( ( ~ ( sK1_SV1 @ sK14_SY41 @ sK14_SY41 ) )
= $false )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[127]) ).
thf(135,plain,
( ( ( ~ ( sK1_SV1 @ sK15_SY41 @ sK15_SY41 ) )
= $false )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[128]) ).
thf(136,plain,
( ( ( ! [SY66: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ sK12_SY42 @ sK16_SY62 )
| ~ ( sK1_SV1 @ sK16_SY62 @ SY66 ) )
| ( sK1_SV1 @ sK12_SY42 @ SY66 ) ) )
= $false )
| ( ( sK1_SV1 @ sK10_SY41 @ sK10_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK8_SY54 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[129]) ).
thf(137,plain,
( ( ( ~ ( sK1_SV1 @ sK17_SY41 @ sK17_SY41 ) )
= $false )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[130]) ).
thf(138,plain,
( ( ( ~ ( sK1_SV1 @ sK18_SY41 @ sK18_SY41 ) )
= $false )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[131]) ).
thf(139,plain,
( ( ( ! [SY67: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ sK13_SY42 @ sK19_SY64 )
| ~ ( sK1_SV1 @ sK19_SY64 @ SY67 ) )
| ( sK1_SV1 @ sK13_SY42 @ SY67 ) ) )
= $false )
| ( ( sK1_SV1 @ sK11_SY41 @ sK11_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK9_SY55 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[132]) ).
thf(140,plain,
! [SV5: $i,SV6: $i,SV3: $i,SV14: $i,SV13: $i,SV12: $i] :
( ( ( sK1_SV1 @ SV12 @ SV13 )
= $false )
| ( ( ~ ( sK1_SV1 @ SV13 @ SV14 ) )
= $true )
| ( ( sK1_SV1 @ SV12 @ SV14 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV5 )
= $false )
| ( ( sK1_SV1 @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(141,plain,
( ( ( sK1_SV1 @ sK14_SY41 @ sK14_SY41 )
= $true )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(142,plain,
( ( ( sK1_SV1 @ sK15_SY41 @ sK15_SY41 )
= $true )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(143,plain,
( ( ( ~ ~ ( ~ ( sK1_SV1 @ sK12_SY42 @ sK16_SY62 )
| ~ ( sK1_SV1 @ sK16_SY62 @ sK20_SY66 ) )
| ( sK1_SV1 @ sK12_SY42 @ sK20_SY66 ) )
= $false )
| ( ( sK1_SV1 @ sK10_SY41 @ sK10_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK8_SY54 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[136]) ).
thf(144,plain,
( ( ( sK1_SV1 @ sK17_SY41 @ sK17_SY41 )
= $true )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(145,plain,
( ( ( sK1_SV1 @ sK18_SY41 @ sK18_SY41 )
= $true )
| ( ( ~ ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(146,plain,
( ( ( ~ ~ ( ~ ( sK1_SV1 @ sK13_SY42 @ sK19_SY64 )
| ~ ( sK1_SV1 @ sK19_SY64 @ sK21_SY67 ) )
| ( sK1_SV1 @ sK13_SY42 @ sK21_SY67 ) )
= $false )
| ( ( sK1_SV1 @ sK11_SY41 @ sK11_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK9_SY55 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[139]) ).
thf(147,plain,
! [SV5: $i,SV6: $i,SV3: $i,SV12: $i,SV14: $i,SV13: $i] :
( ( ( sK1_SV1 @ SV13 @ SV14 )
= $false )
| ( ( sK1_SV1 @ SV12 @ SV13 )
= $false )
| ( ( sK1_SV1 @ SV12 @ SV14 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV6 )
= $true )
| ( ( sK1_SV1 @ SV3 @ SV5 )
= $false )
| ( ( sK1_SV1 @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(148,plain,
( ( ( ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $false )
| ( ( sK1_SV1 @ sK14_SY41 @ sK14_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(149,plain,
( ( ( ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $false )
| ( ( sK1_SV1 @ sK15_SY41 @ sK15_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(150,plain,
( ( ( ~ ~ ( ~ ( sK1_SV1 @ sK12_SY42 @ sK16_SY62 )
| ~ ( sK1_SV1 @ sK16_SY62 @ sK20_SY66 ) ) )
= $false )
| ( ( sK1_SV1 @ sK10_SY41 @ sK10_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK8_SY54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(151,plain,
( ( ( sK1_SV1 @ sK12_SY42 @ sK20_SY66 )
= $false )
| ( ( sK1_SV1 @ sK10_SY41 @ sK10_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK8_SY54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(152,plain,
( ( ( ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $false )
| ( ( sK1_SV1 @ sK17_SY41 @ sK17_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(153,plain,
( ( ( ! [SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ SY42 @ SY43 )
| ~ ( sK1_SV1 @ SY43 @ SY44 ) )
| ( sK1_SV1 @ SY42 @ SY44 ) ) )
= $false )
| ( ( sK1_SV1 @ sK18_SY41 @ sK18_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(154,plain,
( ( ( ~ ~ ( ~ ( sK1_SV1 @ sK13_SY42 @ sK19_SY64 )
| ~ ( sK1_SV1 @ sK19_SY64 @ sK21_SY67 ) ) )
= $false )
| ( ( sK1_SV1 @ sK11_SY41 @ sK11_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK9_SY55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[146]) ).
thf(155,plain,
( ( ( sK1_SV1 @ sK13_SY42 @ sK21_SY67 )
= $false )
| ( ( sK1_SV1 @ sK11_SY41 @ sK11_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK9_SY55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[146]) ).
thf(156,plain,
( ( ( ! [SY68: $i,SY69: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ sK22_SY42 @ SY68 )
| ~ ( sK1_SV1 @ SY68 @ SY69 ) )
| ( sK1_SV1 @ sK22_SY42 @ SY69 ) ) )
= $false )
| ( ( sK1_SV1 @ sK14_SY41 @ sK14_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[148]) ).
thf(157,plain,
( ( ( ! [SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ sK23_SY42 @ SY70 )
| ~ ( sK1_SV1 @ SY70 @ SY71 ) )
| ( sK1_SV1 @ sK23_SY42 @ SY71 ) ) )
= $false )
| ( ( sK1_SV1 @ sK15_SY41 @ sK15_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[149]) ).
thf(158,plain,
( ( ( ~ ( ~ ( sK1_SV1 @ sK12_SY42 @ sK16_SY62 )
| ~ ( sK1_SV1 @ sK16_SY62 @ sK20_SY66 ) ) )
= $true )
| ( ( sK1_SV1 @ sK10_SY41 @ sK10_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK8_SY54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(159,plain,
( ( ( ! [SY72: $i,SY73: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ sK24_SY42 @ SY72 )
| ~ ( sK1_SV1 @ SY72 @ SY73 ) )
| ( sK1_SV1 @ sK24_SY42 @ SY73 ) ) )
= $false )
| ( ( sK1_SV1 @ sK17_SY41 @ sK17_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[152]) ).
thf(160,plain,
( ( ( ! [SY74: $i,SY75: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ sK25_SY42 @ SY74 )
| ~ ( sK1_SV1 @ SY74 @ SY75 ) )
| ( sK1_SV1 @ sK25_SY42 @ SY75 ) ) )
= $false )
| ( ( sK1_SV1 @ sK18_SY41 @ sK18_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[153]) ).
thf(161,plain,
( ( ( ~ ( ~ ( sK1_SV1 @ sK13_SY42 @ sK19_SY64 )
| ~ ( sK1_SV1 @ sK19_SY64 @ sK21_SY67 ) ) )
= $true )
| ( ( sK1_SV1 @ sK11_SY41 @ sK11_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK9_SY55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(162,plain,
( ( ( ! [SY76: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ sK22_SY42 @ sK26_SY68 )
| ~ ( sK1_SV1 @ sK26_SY68 @ SY76 ) )
| ( sK1_SV1 @ sK22_SY42 @ SY76 ) ) )
= $false )
| ( ( sK1_SV1 @ sK14_SY41 @ sK14_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[156]) ).
thf(163,plain,
( ( ( ! [SY77: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ sK23_SY42 @ sK27_SY70 )
| ~ ( sK1_SV1 @ sK27_SY70 @ SY77 ) )
| ( sK1_SV1 @ sK23_SY42 @ SY77 ) ) )
= $false )
| ( ( sK1_SV1 @ sK15_SY41 @ sK15_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[157]) ).
thf(164,plain,
( ( ( ~ ( sK1_SV1 @ sK12_SY42 @ sK16_SY62 )
| ~ ( sK1_SV1 @ sK16_SY62 @ sK20_SY66 ) )
= $false )
| ( ( sK1_SV1 @ sK10_SY41 @ sK10_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK8_SY54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(165,plain,
( ( ( ! [SY78: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ sK24_SY42 @ sK28_SY72 )
| ~ ( sK1_SV1 @ sK28_SY72 @ SY78 ) )
| ( sK1_SV1 @ sK24_SY42 @ SY78 ) ) )
= $false )
| ( ( sK1_SV1 @ sK17_SY41 @ sK17_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[159]) ).
thf(166,plain,
( ( ( ! [SY79: $i] :
( ~ ~ ( ~ ( sK1_SV1 @ sK25_SY42 @ sK29_SY74 )
| ~ ( sK1_SV1 @ sK29_SY74 @ SY79 ) )
| ( sK1_SV1 @ sK25_SY42 @ SY79 ) ) )
= $false )
| ( ( sK1_SV1 @ sK18_SY41 @ sK18_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[160]) ).
thf(167,plain,
( ( ( ~ ( sK1_SV1 @ sK13_SY42 @ sK19_SY64 )
| ~ ( sK1_SV1 @ sK19_SY64 @ sK21_SY67 ) )
= $false )
| ( ( sK1_SV1 @ sK11_SY41 @ sK11_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK9_SY55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(168,plain,
( ( ( ~ ~ ( ~ ( sK1_SV1 @ sK22_SY42 @ sK26_SY68 )
| ~ ( sK1_SV1 @ sK26_SY68 @ sK30_SY76 ) )
| ( sK1_SV1 @ sK22_SY42 @ sK30_SY76 ) )
= $false )
| ( ( sK1_SV1 @ sK14_SY41 @ sK14_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[162]) ).
thf(169,plain,
( ( ( ~ ~ ( ~ ( sK1_SV1 @ sK23_SY42 @ sK27_SY70 )
| ~ ( sK1_SV1 @ sK27_SY70 @ sK31_SY77 ) )
| ( sK1_SV1 @ sK23_SY42 @ sK31_SY77 ) )
= $false )
| ( ( sK1_SV1 @ sK15_SY41 @ sK15_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[163]) ).
thf(170,plain,
( ( ( ~ ( sK1_SV1 @ sK12_SY42 @ sK16_SY62 ) )
= $false )
| ( ( sK1_SV1 @ sK10_SY41 @ sK10_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK8_SY54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(171,plain,
( ( ( ~ ( sK1_SV1 @ sK16_SY62 @ sK20_SY66 ) )
= $false )
| ( ( sK1_SV1 @ sK10_SY41 @ sK10_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK8_SY54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(172,plain,
( ( ( ~ ~ ( ~ ( sK1_SV1 @ sK24_SY42 @ sK28_SY72 )
| ~ ( sK1_SV1 @ sK28_SY72 @ sK32_SY78 ) )
| ( sK1_SV1 @ sK24_SY42 @ sK32_SY78 ) )
= $false )
| ( ( sK1_SV1 @ sK17_SY41 @ sK17_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[165]) ).
thf(173,plain,
( ( ( ~ ~ ( ~ ( sK1_SV1 @ sK25_SY42 @ sK29_SY74 )
| ~ ( sK1_SV1 @ sK29_SY74 @ sK33_SY79 ) )
| ( sK1_SV1 @ sK25_SY42 @ sK33_SY79 ) )
= $false )
| ( ( sK1_SV1 @ sK18_SY41 @ sK18_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[166]) ).
thf(174,plain,
( ( ( ~ ( sK1_SV1 @ sK13_SY42 @ sK19_SY64 ) )
= $false )
| ( ( sK1_SV1 @ sK11_SY41 @ sK11_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK9_SY55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(175,plain,
( ( ( ~ ( sK1_SV1 @ sK19_SY64 @ sK21_SY67 ) )
= $false )
| ( ( sK1_SV1 @ sK11_SY41 @ sK11_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK9_SY55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(176,plain,
( ( ( ~ ~ ( ~ ( sK1_SV1 @ sK22_SY42 @ sK26_SY68 )
| ~ ( sK1_SV1 @ sK26_SY68 @ sK30_SY76 ) ) )
= $false )
| ( ( sK1_SV1 @ sK14_SY41 @ sK14_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(177,plain,
( ( ( sK1_SV1 @ sK22_SY42 @ sK30_SY76 )
= $false )
| ( ( sK1_SV1 @ sK14_SY41 @ sK14_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(178,plain,
( ( ( ~ ~ ( ~ ( sK1_SV1 @ sK23_SY42 @ sK27_SY70 )
| ~ ( sK1_SV1 @ sK27_SY70 @ sK31_SY77 ) ) )
= $false )
| ( ( sK1_SV1 @ sK15_SY41 @ sK15_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(179,plain,
( ( ( sK1_SV1 @ sK23_SY42 @ sK31_SY77 )
= $false )
| ( ( sK1_SV1 @ sK15_SY41 @ sK15_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(180,plain,
( ( ( sK1_SV1 @ sK12_SY42 @ sK16_SY62 )
= $true )
| ( ( sK1_SV1 @ sK10_SY41 @ sK10_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK8_SY54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(181,plain,
( ( ( sK1_SV1 @ sK16_SY62 @ sK20_SY66 )
= $true )
| ( ( sK1_SV1 @ sK10_SY41 @ sK10_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK8_SY54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(182,plain,
( ( ( ~ ~ ( ~ ( sK1_SV1 @ sK24_SY42 @ sK28_SY72 )
| ~ ( sK1_SV1 @ sK28_SY72 @ sK32_SY78 ) ) )
= $false )
| ( ( sK1_SV1 @ sK17_SY41 @ sK17_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(183,plain,
( ( ( sK1_SV1 @ sK24_SY42 @ sK32_SY78 )
= $false )
| ( ( sK1_SV1 @ sK17_SY41 @ sK17_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(184,plain,
( ( ( ~ ~ ( ~ ( sK1_SV1 @ sK25_SY42 @ sK29_SY74 )
| ~ ( sK1_SV1 @ sK29_SY74 @ sK33_SY79 ) ) )
= $false )
| ( ( sK1_SV1 @ sK18_SY41 @ sK18_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(185,plain,
( ( ( sK1_SV1 @ sK25_SY42 @ sK33_SY79 )
= $false )
| ( ( sK1_SV1 @ sK18_SY41 @ sK18_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(186,plain,
( ( ( sK1_SV1 @ sK13_SY42 @ sK19_SY64 )
= $true )
| ( ( sK1_SV1 @ sK11_SY41 @ sK11_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK9_SY55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(187,plain,
( ( ( sK1_SV1 @ sK19_SY64 @ sK21_SY67 )
= $true )
| ( ( sK1_SV1 @ sK11_SY41 @ sK11_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK9_SY55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(188,plain,
( ( ( ~ ( ~ ( sK1_SV1 @ sK22_SY42 @ sK26_SY68 )
| ~ ( sK1_SV1 @ sK26_SY68 @ sK30_SY76 ) ) )
= $true )
| ( ( sK1_SV1 @ sK14_SY41 @ sK14_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(189,plain,
( ( ( ~ ( ~ ( sK1_SV1 @ sK23_SY42 @ sK27_SY70 )
| ~ ( sK1_SV1 @ sK27_SY70 @ sK31_SY77 ) ) )
= $true )
| ( ( sK1_SV1 @ sK15_SY41 @ sK15_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(190,plain,
( ( ( ~ ( ~ ( sK1_SV1 @ sK24_SY42 @ sK28_SY72 )
| ~ ( sK1_SV1 @ sK28_SY72 @ sK32_SY78 ) ) )
= $true )
| ( ( sK1_SV1 @ sK17_SY41 @ sK17_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(191,plain,
( ( ( ~ ( ~ ( sK1_SV1 @ sK25_SY42 @ sK29_SY74 )
| ~ ( sK1_SV1 @ sK29_SY74 @ sK33_SY79 ) ) )
= $true )
| ( ( sK1_SV1 @ sK18_SY41 @ sK18_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(192,plain,
( ( ( ~ ( sK1_SV1 @ sK22_SY42 @ sK26_SY68 )
| ~ ( sK1_SV1 @ sK26_SY68 @ sK30_SY76 ) )
= $false )
| ( ( sK1_SV1 @ sK14_SY41 @ sK14_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(193,plain,
( ( ( ~ ( sK1_SV1 @ sK23_SY42 @ sK27_SY70 )
| ~ ( sK1_SV1 @ sK27_SY70 @ sK31_SY77 ) )
= $false )
| ( ( sK1_SV1 @ sK15_SY41 @ sK15_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(194,plain,
( ( ( ~ ( sK1_SV1 @ sK24_SY42 @ sK28_SY72 )
| ~ ( sK1_SV1 @ sK28_SY72 @ sK32_SY78 ) )
= $false )
| ( ( sK1_SV1 @ sK17_SY41 @ sK17_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(195,plain,
( ( ( ~ ( sK1_SV1 @ sK25_SY42 @ sK29_SY74 )
| ~ ( sK1_SV1 @ sK29_SY74 @ sK33_SY79 ) )
= $false )
| ( ( sK1_SV1 @ sK18_SY41 @ sK18_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(196,plain,
( ( ( ~ ( sK1_SV1 @ sK22_SY42 @ sK26_SY68 ) )
= $false )
| ( ( sK1_SV1 @ sK14_SY41 @ sK14_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(197,plain,
( ( ( ~ ( sK1_SV1 @ sK26_SY68 @ sK30_SY76 ) )
= $false )
| ( ( sK1_SV1 @ sK14_SY41 @ sK14_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(198,plain,
( ( ( ~ ( sK1_SV1 @ sK23_SY42 @ sK27_SY70 ) )
= $false )
| ( ( sK1_SV1 @ sK15_SY41 @ sK15_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(199,plain,
( ( ( ~ ( sK1_SV1 @ sK27_SY70 @ sK31_SY77 ) )
= $false )
| ( ( sK1_SV1 @ sK15_SY41 @ sK15_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(200,plain,
( ( ( ~ ( sK1_SV1 @ sK24_SY42 @ sK28_SY72 ) )
= $false )
| ( ( sK1_SV1 @ sK17_SY41 @ sK17_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(201,plain,
( ( ( ~ ( sK1_SV1 @ sK28_SY72 @ sK32_SY78 ) )
= $false )
| ( ( sK1_SV1 @ sK17_SY41 @ sK17_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(202,plain,
( ( ( ~ ( sK1_SV1 @ sK25_SY42 @ sK29_SY74 ) )
= $false )
| ( ( sK1_SV1 @ sK18_SY41 @ sK18_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(203,plain,
( ( ( ~ ( sK1_SV1 @ sK29_SY74 @ sK33_SY79 ) )
= $false )
| ( ( sK1_SV1 @ sK18_SY41 @ sK18_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(204,plain,
( ( ( sK1_SV1 @ sK22_SY42 @ sK26_SY68 )
= $true )
| ( ( sK1_SV1 @ sK14_SY41 @ sK14_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(205,plain,
( ( ( sK1_SV1 @ sK26_SY68 @ sK30_SY76 )
= $true )
| ( ( sK1_SV1 @ sK14_SY41 @ sK14_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK4_SY38 @ sK6_SY50 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(206,plain,
( ( ( sK1_SV1 @ sK23_SY42 @ sK27_SY70 )
= $true )
| ( ( sK1_SV1 @ sK15_SY41 @ sK15_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(207,plain,
( ( ( sK1_SV1 @ sK27_SY70 @ sK31_SY77 )
= $true )
| ( ( sK1_SV1 @ sK15_SY41 @ sK15_SY41 )
= $true )
| ( ( sK1_SV1 @ sK2_SY36 @ sK3_SY49 )
= $true )
| ( ( sK1_SV1 @ sK6_SY50 @ sK8_SY54 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(208,plain,
( ( ( sK1_SV1 @ sK24_SY42 @ sK28_SY72 )
= $true )
| ( ( sK1_SV1 @ sK17_SY41 @ sK17_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(209,plain,
( ( ( sK1_SV1 @ sK28_SY72 @ sK32_SY78 )
= $true )
| ( ( sK1_SV1 @ sK17_SY41 @ sK17_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK5_SY38 @ sK7_SY52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(210,plain,
( ( ( sK1_SV1 @ sK25_SY42 @ sK29_SY74 )
= $true )
| ( ( sK1_SV1 @ sK18_SY41 @ sK18_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(211,plain,
( ( ( sK1_SV1 @ sK29_SY74 @ sK33_SY79 )
= $true )
| ( ( sK1_SV1 @ sK18_SY41 @ sK18_SY41 )
= $true )
| ( ( sK1_SV1 @ sK3_SY49 @ sK2_SY36 )
= $true )
| ( ( sK1_SV1 @ sK7_SY52 @ sK9_SY55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(212,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[9,211,210,209,208,207,206,205,204,187,186,185,183,181,180,179,177,155,151,147,118,94,63,12]) ).
thf(213,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU492^1 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n007.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 15:24:27 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.30
% 0.36/0.30 No.of.Axioms: 0
% 0.36/0.30
% 0.36/0.30 Length.of.Defs: 5125
% 0.36/0.30
% 0.36/0.30 Contains.Choice.Funs: false
% 0.36/0.30 .....
% 0.36/0.30
% 0.36/0.30 ********************************
% 0.36/0.30 * All subproblems solved! *
% 0.36/0.30 ********************************
% 0.36/0.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:0,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:212,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.36/0.30
% 0.36/0.30 %**** Beginning of derivation protocol ****
% 0.36/0.30 % SZS output start CNFRefutation
% See solution above
% 0.36/0.30
% 0.36/0.30 %**** End of derivation protocol ****
% 0.36/0.30 %**** no. of clauses in derivation: 213 ****
% 0.36/0.30 %**** clause counter: 212 ****
% 0.36/0.30
% 0.36/0.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:0,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:212,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------